From fe9588f5550155ba46abd30333913a5d9e86b353 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Thu, 12 Dec 2024 19:17:06 -0600 Subject: [PATCH 01/25] add md file --- docs/source/examples/examples.md | 1 + docs/source/examples/pt_zne.md | 335 +++++++++++++++++++++++++++++++ 2 files changed, 336 insertions(+) create mode 100644 docs/source/examples/pt_zne.md diff --git a/docs/source/examples/examples.md b/docs/source/examples/examples.md index edb7f6c64..20501cc8b 100644 --- a/docs/source/examples/examples.md +++ b/docs/source/examples/examples.md @@ -29,6 +29,7 @@ ZNE and CDR with Cirq: 1D Ising Simulation ZNE with PennyLane + Cirq: Energy of molecular Hydrogen ZNE with BQSKit compiled circuits ZNE on Stim backend with Cirq: Logical randomized benchmarking circuits +ZNE and PT with Cirq: ZNE with Noise Tailoring LRE vs ZNE: comparing performance and overhead PEC on a Braket simulator: Mirror circuits PEC with Cirq: Learning representations diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md new file mode 100644 index 000000000..7a5b8e781 --- /dev/null +++ b/docs/source/examples/pt_zne.md @@ -0,0 +1,335 @@ +--- +jupytext: + text_representation: + extension: .md + format_name: myst + format_version: 0.13 + jupytext_version: 1.14.1 +kernelspec: + display_name: Python 3 + language: python + name: python3 +--- + +```{tags} cirq, zne, pt, basic +``` +# ZNE with Noise Tailoring + +This tutorial helps us understand the cases when noise tailoring is helpful for improving the performance of +quantum error mitigation techniques. + +We will + +- compare coherent noise to incoherent noise +- Pauli twirl coherent noise to be incoherent +- compare the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE) +on its own and in combination with [Pauli Twirling](../guide/pt.md) (PT) when the circuit is subjected to coherent noise + +## Coherent noise vs. Incoherent noise + +**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit, they are easily carried across the circuit such that they scale up quadratically. Dealing with coherent noise requires a large resource overhead. + +**Incoherent noise** is a process that entangles the quantum system with its environment i.e. this type of noise is irreversible. The system and the environment are in a mixed state. It scales linearly in the small error limit. +The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. + +```{note} +If $\mathcal{F}$ is the fidelity defining the success of preparing an arbitrary pure state $\rho$, then +$1-\mathcal{F}$ is the **average gate infidelity**. +``` + +For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\epsilon(\rho)$ is the noise channel: + +```{math} +\epsilon(\rho) = (1-p) \rho + p \frac{I}{2} +``` +$\frac{I}{2}$ is the maximally mixed state which can be described using Paulis. + +```{math} +\frac{I}{2} = \frac{1}{4} (\rho + X \rho X + Y \rho Y + Z \rho Z) +``` + +Thus, the depolarizing channel can be redescribed using Paulis as shown below. + +```{math} +\epsilon(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) + +``` + +### Pauli Transfer Matrix + +Let $\Lambda(rho)$ be a $n-$qubit noise channel where $K_i$ are the Kraus operators. + +```{math} + +\Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger +``` +If $P_i$ and $P_j$ are $n-$qubit Paulis, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, +$i$ defines the rows while $j$ defines the columns of the PTM. All entries of the PTM are real and in the interval $[-1, 1]$. + + +```{math} +(R_{\Lambda})_{ij} = \frac{1}{2^n} \text{Tr} \{ P_i \Lambda(P_j)\} +``` +A PTM allows us to distinguish between the two types of noise. The off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. PTM of a circuit is a product of the PTM of each layer in the circuit. Due to these, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. + +The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. If we want to not deal with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as the expression above, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. + +## Using Pauli Twirling in Mitiq + +```{code-cell} ipython3 +# Utility functions for Pauli Twirling. + +import cirq +import numpy as np +import numpy.typing as npt +from cirq.circuits import Circuit + +from mitiq.pec.channels import _circuit_to_choi, choi_to_super +from mitiq.utils import matrix_to_vector, vector_to_matrix + +pauli_unitary_list = [ + cirq.unitary((cirq.I)), + cirq.unitary((cirq.X)), + cirq.unitary((cirq.Y)), + cirq.unitary((cirq.Z)), +] + + +def _n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: + """Get a list of n-qubit Pauli unitaries.""" + if not num_qubits >= 1: + raise ValueError("Invalid number of qubits provided.") + + # get the n-qubit paulis from the Pauli group + # disregard the n-qubit paulis with complex phase + + n_qubit_paulis = pauli_unitary_list + for i in range(num_qubits - 1): + n_qubit_paulis = n_qubit_paulis + empty_pauli_list = [] + for j in pauli_unitary_list: + for k in n_qubit_paulis: + new_pauli = np.kron(j, k) + empty_pauli_list.append(new_pauli) + n_qubit_paulis = empty_pauli_list + return n_qubit_paulis + + +def _pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: + """Define a function to create a list of vectorized matrices. + + If the density matrix of interest has more than n>1 qubits, the + Pauli group is used to generate n-fold tensor products before + vectorizing the unitaries. + """ + n_qubit_paulis = _n_qubit_paulis(num_qubits) + output_pauli_vec_list = [] + for i in n_qubit_paulis: + # the matrix_to_vector function stacks rows in vec form + # transpose is used here to instead stack the columns + matrix_trans = np.transpose(i) + output_pauli_vec_list.append(matrix_to_vector(matrix_trans)) + return output_pauli_vec_list + + +def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: + """Find the Pauli Transfer Matrix (PTM) of a circuit.""" + + superop = choi_to_super(_circuit_to_choi(circuit)) + + vec_pauli = _pauli_vectorized_list(num_qubits) + n_qubit_paulis = _n_qubit_paulis(num_qubits) + ptm_matrix = np.zeros([4**num_qubits, 4**num_qubits], dtype=complex) + + for i in range(len(vec_pauli)): + superop_on_pauli_vec = np.matmul(superop, vec_pauli[i]) + superop_on_pauli_matrix_transpose = vector_to_matrix( + superop_on_pauli_vec + ) + superop_on_pauli_matrix = np.transpose( + superop_on_pauli_matrix_transpose + ) + + # ptm_matrix_row = [] + for j in range(len(n_qubit_paulis)): + pauli_superop_pauli = np.matmul( + n_qubit_paulis[j], superop_on_pauli_matrix + ) + ptm_matrix[j, i] = (0.5**num_qubits) * np.trace( + pauli_superop_pauli + ) + + return ptm_matrix +``` + +Let us consider a simple circuit of a CNOT gate. We are going to subject this circuit to two types of noise and compare +their respective PTMs. + +```{code-cell} ipython3 +import numpy as np +import seaborn as sns +import matplotlib.pylab as plt + +from cirq import LineQubit, Circuit, CNOT, Ry, depolarize, X, Y, Z + +q0 = LineQubit(0) +q1 = LineQubit(1) + +circuit = Circuit(CNOT(q0, q1)) +print(circuit) +``` +```{code-cell} ipython3 +ptmcnot = ptm_matrix(circuit, 2) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +print("Ideal CNOT PTM") +plt.show() +``` +```{code-cell} ipython3 +# PTM of a noisy CNOT gate: depolarizing noise +noisy_circuit_incoherent = circuit.with_noise(depolarize(p=0.3)) +print(noisy_circuit_incoherent) + +ptmcnot = ptm_matrix(noisy_circuit_incoherent, 2) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +print("\n Pauli Transfer Matrix of noisy CNOT (incoherent)") +plt.show() +``` +```{code-cell} ipython3 +# PTM of a noisy CNOT gate: Rz +noisy_circuit_coherent = circuit.with_noise(Ry(rads=np.pi/12)) +print(noisy_circuit_coherent) + +ptmcnot = ptm_matrix(noisy_circuit_coherent, 2) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +print("Pauli Transfer Matrix of noisy CNOT (coherent)") +plt.show() +``` +If we compare the PTM of the ideal CNOT gate to those when the gate was subjected to incoherent noise and coherent noise, +there are additional sources of errors to deal with when coherent noise is acting on the CNOT gate. These can be reduced or tailored to be close to how the incohrent noise PTM appears through Pauli Twirling. + +```{code-cell} ipython3 +from mitiq.pt import generate_pauli_twirl_variants + +# Generate twirled circuits +NUM_TWIRLED_VARIANTS = 3 +twirled_circuits = generate_pauli_twirl_variants( + circuit, num_circuits=NUM_TWIRLED_VARIANTS) +print("Example ideal twirled circuit", twirled_circuits[0], sep="\n") +``` +Now, lets add coherent noise to the CNOT gate in each twirled circuit. +```{code-cell} ipython3 + +noisy_twirled_circuits = [] + +for circ in twirled_circuits: + split_circuit = Circuit(circ[0], circ[1], Ry(rads=np.pi/12)(q0), Ry(rads=np.pi/12)(q1), circ[-1]) + noisy_twirled_circuits.append(split_circuit) + +print("Example noisy twirled circuit", noisy_twirled_circuits[0], sep="\n") +``` + +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. + +## Noisy ZNE + +Lets define a larger circuit of CNOT, CZ and H gates. + +```{code-cell} ipython3 + +from cirq import LineQubit, Circuit, CZ, CNOT, H + +q0, q1, q2, q3 = LineQubit.range(4) +circuit = Circuit( + H(q0), + CNOT.on(q0, q1), + CZ.on(q1, q2), + CNOT.on(q2, q3), +) + +print(circuit) + +``` + +We are going to add coherent noise to this circuit and then get the error-mitigated expectation value. For a detailed discussion on this, refer to the [ZNE user guide](../guide/zne-1-intro.md). + +As we are using a simulator, we have to make sure the twirling gates are sandwiching the coherent noise channel in the circuit. +For this, `get_noise_model` is used to add noise to CZ/CNOT gates. See [PT user guide](../guide/pt-1-intro.md) for more. + +```{code-cell} ipython3 +from numpy import pi +from cirq import CircuitOperation, CXPowGate, CZPowGate, DensityMatrixSimulator +from cirq.devices.noise_model import GateSubstitutionNoiseModel + +def get_noise_model(noise_level: float) -> GateSubstitutionNoiseModel: + """Substitute each CZ and CNOT gate in the circuit + with the gate itself followed by an Rx rotation on the output qubits. + """ + rads = pi / 2 * noise_level + def noisy_c_gate(op): + if isinstance(op.gate, (CZPowGate, CXPowGate)): + return CircuitOperation( + Circuit( + op.gate.on(*op.qubits), + Ry(rads=rads).on_each(op.qubits), + ).freeze()) + return op + + return GateSubstitutionNoiseModel(noisy_c_gate) + +def execute(circuit: Circuit, noise_level: float): + """Returns Tr[ρ |0⟩⟨0|] where ρ is the state prepared by the circuit.""" + return ( + DensityMatrixSimulator(noise=get_noise_model(noise_level=noise_level)) + .simulate(circuit) + .final_density_matrix[0, 0] + .real + ) + + +# Set the intensity of the noise +NOISE_LEVEL = 7 + + +# Compute the expectation value of the |0><0| observable +# in both the noiseless and the noisy setup +ideal_value = execute(circuit, noise_level=0.0) +noisy_value = execute(circuit, noise_level=NOISE_LEVEL) + +NUM_TWIRLED_VARIANTS = 300 +twirled_circuits = generate_pauli_twirl_variants(circuit, num_circuits=NUM_TWIRLED_VARIANTS) + +# Average results executed over twirled circuits +from functools import partial +from mitiq import Executor +pt_vals = Executor(partial(execute, noise_level=NOISE_LEVEL)).evaluate(twirled_circuits) +twirled_result = np.average(pt_vals) + + +print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") +print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") +``` + +## Combining Pauli Twirling with ZNE + +```{code-cell} ipython3 +from mitiq.zne import execute_with_zne + +executor=partial(execute, noise_level=NOISE_LEVEL) +zne_pt_vals = [] + +for i in twirled_circuits: + zne_pt_vals.append(execute_with_zne(i, executor)) + +mitigated_result = np.average(zne_pt_vals) + +print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") +print(f"Error with ideal and twirling: {abs(ideal_value - twirled_result) :.3}") +print(f"Error with ideal and ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") + +``` +Accordingly, just PT or ZNE do not work that well compared to a combination of PT and ZNE. + +## Conclusion + +In this tutorial, we've shown how to use a noise tailoring method with Zero-Noise Extrapolation. +If you're interested in finding out more about these techniques, check out their respective sections of the users guide: [ZNE](../guide/zne.md), [Pauli Twilring](../guide/pt.md). From fc4099bb78dc47a4b155d59c65272bd5cc669435 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Tue, 17 Dec 2024 09:46:03 -0600 Subject: [PATCH 02/25] add comparison plot --- docs/source/examples/pt_zne.md | 45 +++++++++++++++++++++++++++++++++- 1 file changed, 44 insertions(+), 1 deletion(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 7a5b8e781..80a49e327 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -327,7 +327,50 @@ print(f"Error with ideal and twirling: {abs(ideal_value - twirled_result) :.3}") print(f"Error with ideal and ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") ``` -Accordingly, just PT or ZNE do not work that well compared to a combination of PT and ZNE. +Accordingly, depending on the noise strength, a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique only contributes to the resource overhead without providing a significant advantage. + +```{code-cell} ipython3 + +import matplotlib.pyplot as plt + +# Plot error vs noise strength +noise_strength = range(1, 10) +error_no_zne_no_twirling = [] +error_with_twirling = [] +error_with_twirling_and_zne = [] +NUM_TWIRLED_VARIANTS = 300 + +for strength in noise_strength: + ideal_value = execute(circuit, noise_level=0.0) + noisy_value = execute(circuit, noise_level=strength) + id_noisy_diff = abs(ideal_value - noisy_value) + error_no_zne_no_twirling.append(id_noisy_diff) + + twirled_circuits = generate_pauli_twirl_variants(circuit, num_circuits=NUM_TWIRLED_VARIANTS) + pt_vals = Executor(partial(execute, noise_level=strength)).evaluate(twirled_circuits) + twirled_result = np.average(pt_vals) + twirled_noisy_diff = abs(ideal_value - twirled_result) + error_with_twirling.append(twirled_noisy_diff) + + executor=partial(execute, noise_level=strength) + + zne_pt_vals = [] + for i in twirled_circuits: + zne_pt_vals.append(execute_with_zne(i, executor)) + mitigated_twirled_result = np.average(zne_pt_vals) + error_with_twirling_and_zne.append(abs(ideal_value - mitigated_twirled_result)) + +plt.plot(noise_strength, error_no_zne_no_twirling,"-d", label="Noisy", color="#1f77b4") +plt.plot(noise_strength, error_with_twirling,"-^", label="Twirling", color="#ff7f0e") +plt.plot(noise_strength, error_with_twirling_and_zne, "-+", label="ZNE + Twirling", color="#2ca02c") + + +plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2} \times \text{noise_strength})$") +plt.ylabel("Differences between expectation values") +plt.title("Comparison of technique based expectation values to ideal") +plt.legend() +plt.show() +``` ## Conclusion From e01d362d7534f2d0e08ac5c66c09e2788769b837 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Tue, 17 Dec 2024 09:50:26 -0600 Subject: [PATCH 03/25] add thumbnail image --- docs/source/_thumbnails/pt_zne.png | Bin 0 -> 57684 bytes docs/source/conf.py | 1 + 2 files changed, 1 insertion(+) create mode 100644 docs/source/_thumbnails/pt_zne.png diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png new file mode 100644 index 0000000000000000000000000000000000000000..5cfe0bf9474d19a31112bb08a4f9c719b9800666 GIT binary patch literal 57684 zcmZs@1yogS*Dj2O0SJOfhtjQpbO<6{(jg!q(%r3uh!WB*A|b7GgS3=%cXxN6xqRR6 z`^Wgt8ROwmH?Y@Qcg%U!z5V57#W3y=-a$b@!H^IaQ9wbt%87z<!;_9|2D44p)*Ohd^AI2ysQ?(KzLP}2YYvYb?IQy5sw^c(q#^Wp` z+dc?uep`E>QH&;{B(L=B`eDO%BSw09`ny)_S5rs+8cx)2uO z{g5%_1+T7eALm4oSA0-kP;&nJDR$aNW%uBf>q$cQS_1$59>yne3*;3cBY6=Uihu9w z{V0^^imz~OIGtiUNfXKGe3XvSU@l2yWF!|aZyYc2BMOS;p}b^?5^jqzuB%tCN|(zh z5^-7(9~>Mk+^sjlnCE+3lAca`|IUqp7y@7MhVB? zn3av^l$_7Z%oscQcF~zM3V)A`5Q>S3)z#G_DvuZ9;<>D6A_c=SgmiTuK6tQynuUdn>#LGA zzxuN#O*u=YGNj{Z9FWj-|mOwVoFN)wJIDMo0>j+`$q0gviAv> z;ntlybt5COU0w2b$pp-{T(shR(eRibzxji;wzjsly{$V^XgtQ}e;TFZA+b48Wo>I) z55EpS9?7Dky`cuP&r*H#sOJ2Dh=j-PH(VEkh+`?SBJVy0CufwZj(Y^$M|O7h*4EbR zu5UubJa&Ix$F)T=QLwY$Cn6$>WjC&y4HlHu)6?^94vmifvo&3xS5neEKAyli;dCuf zRI!Cd-)N%J`6Sxi&CO}r7Z3fD-nFY&kGASDuUI)c))Fgbx^pEQ{`J#+JpcUP`)d0x1c9a&n~hDAg)!X>S2 zZ0d%GWAgNyv2k#`g_9nqbEIdVKYKCCzTlo7Kvz=}$6@}6kB`{U&~R;i-FUQ^X|r-S zsFtU(vC-{l+7D*!4lLEPvoojFoRZdrM0maOV8pbvqGEPx>h~|*`ck)Jn~2~n`cnd4 z2S#|Bcpm%KsiNl}&}$nTeN$2>Q9Le=4Pp3s9oD8|48PWPbYQ@)g0-)>?3gQ;C@?fU zJPq$ubvV)Hk3-X%<9M=XEE+`YUs1u!!NE~zJ{svb>5lhhR0-K2DD0LKuRQNIG&Ww@ z>Xj4huJQEbr6pE{hc+E3=Rj*Ru~?ax%7ZY00> z`~X*AFiVxC++jWQvVy)@?cVres_RcXdftVlC8LeQYg&CJYFU>7Z~^k>Znr9St&+jF!%n+mfc z1q1W#y7=xwN5#79#k3!pWOMrbIBPN@DVD zy@TIa?2Pg_p2u7M6GDM&VcGeWzvr8fH|4Vv=mC3}3Ab^m#UDI)(9__LlX?T~f%xU= zz> zd>NjX7ue)EnkBL|6UFAEl+RYi$_nli64E1+5X)-t>5Zu=gZ<{jIQa$aB*}}5i<6on zjhwy`OC5;}B}pjrm3!+YlalABhf!YM-c-*{mVYFo&-j1*NPGBotWrjQ!tYb`$*Jqv zk+npQiWC&Li0X?IQ{!5%8$Cppl@IsVM^$TrM3X~MF-aMRM@A%nR-a_dRB zVNjN89C^xjX=!Q2S9*U0?{#oainCO1d8H`Pr&hb4N^0b&)NF)ONm2R=KODCo)aogj z^k6_{TH)EVcXMlNj9QgWFKZ@3D8wjX*S2(Y$he%Ym!xi1pUS#GK}do6e7+kjaFTvq zyx?s|PvSLaXXj8#iGS+?+N1=$7+QUPplQ4{Rf|pD5yK`{6O7C+vMNW4On-QuHw6+= zNt9o>!?Z2L7^ZZQWWXcFZL%U|{*;B3ICziwc zFBG!+6@F@0rNCfG#y&NTyiZKb2rHJ3hexAETRFFcvtry(t$#A}(^763XXXlbSZL^@ zr{*I{JG;AKFjCYViGn(W9A?o1vI%>8b}gf$no#FM*`b0OLw!;hEjFiuMt8m$Dy#gr z?GyXR95pYm=G9iMBYGSh9EvMFu%yr3Umov*5AkS#?R)hZEQldp{+MYI@87%k@JbI%%U&C_X(|>L zmgU-;WPL2XTKJQ*lQsA4Y| zYIh!gc{CfG3jJOjK;68@D?7o+q@*NNiP-=GHmC+L)>QB$V`HychKJQ-VbE$<6%`aH zX=rG?=b^$y5EB!l=dy*qIT}Bk`OHFp7804Vlju(=(evfu^VacO4oh80b(_5%f_p{w zRe%2ejf8tn8PxF{e|?Nxz*ksz%R^}&KPzs`s7NEjesuu(J@kn~FR!Z^&btdpP1Mf<;|Hasr6nB&Mg8k>F;Zs{8ylORnoR=(1JpqtiBQX1 zeEj^W&`XFIe_Gh|8fB%z_ff2@tkQc_{d|3Ibn+j@ zd&Eel&ZI_Zv(Eg%P~LYhB~f(uv|mrZxH#REBvNG2EDktWAMMT6;`NR`J>10n7Od__ zT64D3hWgWUzh5=WPFi^!^Ea$}=Y<%^^?yU{?PMtsAe=@;HP5r@k@$VCt zJ)_)LW#2C=q4E$sevJZe-sKr(=~(qNGOtEid3<91FM&kp5x{(W9y{7lN&+`IKXd|N z2Z!Q|N|g+y6Vn8hEGjm(u>5>hz%DLrD_r`0mnzTu=a!ak{n<}YwqEX`3YRn}`^u%Q ztqrUQ?t;pDo>NB+pa{y=?rxUVamW6uWNQAab8EnRDCjG$gW2l!09>S{r2~ZAOF!sK8v$82-JhKC~#>mzxlgUsFr0QCR_5;59Z zTbG%i2DTm~t7I8>e}7SScqR)qC1`EU44@gkoA#g)HwVXqZ<6{$?B*kdV}{c+Gj-j` zVr@CDyN*qbjW=L?OS@C0qP7kWm^pK$UnI&XBh!wn=;0|ANZ1I_qZ0~kG@mo;HB|K1 z(DL~9x}Kk;9FCRQ0@lnNJ6v0cwqLXcu#WNd=gO&a|M`;J@qE-7;O2&ghAk)#swZEI zEyhQtEMXZ|R#ok9_Ltc%qU=fZb=VEEX|>Rc zp&+0fSLB=Y(;sY%O98R)4-A}##nt|mfAlrKBH3(*UE<(So<4&X4KFVd9$wU_wq>Bf znx(RGiDQK=H9vm>tgZ*luhfh&XNfw48$aXi_N(ex1ICqAJLjV&pBbN)c-eumw>|zA4-@3a0@3_SAApS764vKy7dD@n<^FtbALi$ zcl$v{&9|NvMH;2R<(aKYwpuM<2Xnjl2ohVZ{(mKtsY$#jnSQ>;gf-% zXzzczQ(|xXyd&0$j9#IC^Jicn2D0p-?_~o^1%mX;Zdu{vaI+J7^vet-D1KgEUeVmP zZ+%b8kJG-F2aIfia35d|TWZ>~b zK^}_-0P3`<9Vca4^~418K=G(HRBo7@Bm)Kpi@<2Iy2``Z#Drd5UH$0vG>)AEUWbyp z=U9Pa*!lHF*P+=l?8;xo#S4?3myNBhk~I@B{&vl$hoCON?JmL>4HHu!vsU?53r(Wc z;ke^!@IJuo`3=g>cy9gt!GN}C`UrIV$3XT_ zAKNZSr^zM$g#y$DxD}tviX3P)tO^SFfvHG5`*CMtA|g|(MfL7e<&eyco8*Fmi8P6B zp}&7Wb2;4TfcEAz_5S7(l;1M@&IDeu8jtfm&&B!qkofp^{=>24NtSnhe$7lZhvmC- z4xHu@jnyvuCIAB9u|3fxu^BQyWv>JqnrpG301YpN8mm@pM!;tH_YG19mwRuLk&&JA zG!er#NzLHIj92aEzP=-4r<|);Qa+)QmVY?e2lbEN(2hTYov_0^*!g&8zR;-K3ztC! zpV%*VFpG|Tgo6{svTFZf;3>Z*0(Oj^4xbnQS)y{dh!@qg+CbSpDPoF-a53niINhy!pcJhZuL=f2N_ZzXh0dAfj zFdxpRg0>2UL91pBrfI%BP36Bmj*X42&0N!wGyC)+keEBPp+N)$CMApUx;kNK8&~!O zA56OK2G;U$CJshqtazYY9M)XkBO~jaY5W|+ZA*RS%9Q{T-r~BAQou>WLuwk9kwX_@snJmei5Szg`> zdUrgNRhJ|-lRnze(9k33z1%i)w~|EzS)C@L^($kTjfeB}{XAkslj&43a0m${Va*=z zw6V0bwK0^Cj4vujteP9ppQ6j0Yby8Kil!=TPkCeR0H#uoel_Vdp0ULCF(~LQ)Kk$$ z2Zq4%xio{e$TPS~0O8Y5(B6px&-43+LzOfBg9I^<=d> zqjqI96d$57`xvjHqNhY0X0O+V@&Gh?@2?IPIIL?RqLO>jKV1Q~W7%qM1wOwEyRoq` z=x0$XIU34CY0309wzkG2g>;zwdsq)2J_PVm;Jo|xU~{q)z|M_7*IE!J#CJRw23>y( z3S4MxY%4s2%(G`GKdTO6B_^&pIyz2xoSLV}CbWVK*a&(Em+b;NFx_O$5(`ue`@nmI zgm?a6%zc1K09X?uM*0xM1;ek-AE1ncM@QoW;R{GjrCR)(pg){%;07ofX>Wk9SWO2Q zsimWz0mDXa9Et!jw~Y@#&Ic^oW}&k`KP5f)!+!9fX|5&A|MO=G&_7_)C=Jot0BUKE z=MH=L{KHnCqFhL1WRuqoG(foC)$jS`=aC9>e4YTf2oYo^TsIphCld<`*`fW5^`^<( z#>BiitJ&rRNT0K%s zV76KVX_R6zHw*#3BHutdDpW=k8-JxYZzwlwEOd*UgJpLf*b3TbGiaSiNiIE{a4mD%euVabk^J%FUv+POX#{NO z^rIy3yQ&}z=ROt|IdENssogrBqV^ynMI~p-`lHr0+J<0xrkIK85z+_U#a0ScvjMM@gAd_k=ox&bQJ)v3a@IDJCK!4gwu*$z@!H_G)_aaAPu?jpZa=^&-2N5Olr8Wh)1g^X~(pbS8fa~pwn zM`GYE0UdDgEJPZvB3wvX3&QxSJtU$LehmLP$nha_tE&vKpuL$JFVA*^5h+DoQ&S4MN)HS$^EnXk z`En9aImKaN{+yedBENFN+>0A{{79n6vFZz@gv(l9Gi7dIFu)8_{TKB#4NXmw*KXbo z2QE!1CnvX@;5ZS&0piQ_6EXoeHNq!)K648T)PTDr;8A;^6{Z4m5f6PcwqN`x!u^Bt zc}}MIi_M}Zi_#`0nS0DSc0kNh zrUTg-TN+CJyE|_`nX)`s`2x@|4^--2gI~hQICywsP@a!LpKI+nr|2UA-o^%GloGfk zC%%v>mJe@l`sjZxtF8ZsW%a$|f1E1X|1qzO?Pd{W0G1;{-uI_7ZXga;I;lkHpN@{k z=H}+ttn;7P%jc-+=vvtNTe;UeZT^0!v(^;Vw3sp<0y+YrO6E z`)e4H7zC_{=1|l#cpnc>@ztyBOI{k9A8BjOj<@pSdeLBrU*iVZmpsD@QxQbyA#y$`}glp z&CYt~A9VHJ*vT|LNZD!}^U%*S4PYVukuex z3zz+sMrfGmk-&-lwX0lW=pOx>&=tZ0YEBSQfx2Sh;9UEoRi&?|_c1v5<{W+M6aA*8 zK~I>OGOOvU2qp$3`4)&F!kZ9NX5p3&c&P)acqwcwZ%LPLEHB(`q#PiY`99hlr{>B& zJeC9#rXCgt+p??7){w_>1O0c3MA*_;85^0~))kbNmX;Hdo8O>wAp8#`+I!g8bua}8 z2WKgNkLJ~7l!BMWcKOGx2W{2UCM-m?otGgf-zlofTJN+<$ZB(|vt*^i^Dj)|WEd6NuqJg&nsI%ti%phzT5SntCc>3- zwW~DN%|XfdY_Vk@{cnY?lo}XDJu&H^)gC&zYRzqpB0bFO`_fbtc_}hM>+Qf1rNsAd zDcP;TKJ9K3>dpair;W7l994)Z9&fq9~)u0B0GTi?b~gZ{hFxOWNUgtB$Vl|FyOz*!pd&CF2M zs)a2}nCv&oC!L~0`BSXw?|fw&O6Ab0x{oblM^Z6!xYyoDPBApj&U9?RL&C zEI=QgZ8hKgS#zNWQY}~xWN`QI!^7_f5p!St4LU^(k3Buq%O8MoQHTZHqLamf^Yt3< zB+op^l>O)J+s9Yr@TQI^xa(cBDmtQnZ}I+ZK&FQ)LN)s`aDYxd6g=DVuC+y&B1i-$ zp%Ks;tia<0uK)Q?SlrQ(Q)Oi(LTAC|XEz-P0MYPTSD~>Y;OIJlAt`be9w*B*j~+cT z0?Da^^bG|yk~i>id96CbjB=m$%a@_V%E|V7T88==GjoNR`x+6H{;C%rbw`)&*m0HU zGVb3wDREp}72{ELp6uU;{nHDIDgyhw=YPm1%s^x3R0C_N30&H4BldKq52uJ58pH3( z0WRKDZpFq7NQk-sFV)ok21m_L50Pt+sjbjS#^+EoU*3MXfVOg%J+EXY?50;~*_i0nwBTFc{oU7PV*X)N zAo);-vvdZk-CaSKH~%#O6JQLhrc8l|1pM$1cS%|S`aK7u-t}-}9#$-hnwr{Uhcz{1 zT97YN=eZEcAL!W9&y}QZdy)59-&DM-pr-QCFYu=MtC6l6bG3b4bT=VC1M|T~euc;49mX7vzqUOH49> zc;LvBHZ`G?A>rW-yPblT(xt*r{X>b8S_ymNIlSa`UbU8qxLNQ$kVJEFYI8ihx{9?`>gbX`B4|@by^sc&UP&?>XJ+^7`l~@$_wF`2@O0 zKD-p6MAMN_jGN9Vb}=H|vCsW4E<1hsns*aKNb<@1e7t(D9{l*@y+0m5MvE(X@^rO% zr=V>(_Lnl0C#!4S3!5Hvu=W>+RpYnH!-egeg zzDr7CnS9Buk|CQEzzu2`t*^LQ{Gd1mH_iIdtcbZE%`JO?LO!GPy^#a~J{r^!{i7i- zZzNTJq0Hzx;NUTd(6}5M@X0B95J%o;4?Ea`ftu+b!8~hoKMa+ z1y-!nHhC=riY`qpQ0)wjj`|2Ut1VCkKa9RZcKu@}olrU*+!?VfFS^pi#DeI4xe2`k zQTsCUrKb1&JB>_a&?7T?93X!J%sowCY<8jc1kzXx@h3v*1jyJ(IOeU*_o8V^X`-N> zVxqowoUz!E+-ZlgV^?wwJNO>L&hBUul;}NaJ{Y|B`TE=yj$X8t?mgPj>zZl8O$5i2 zgv4vi+}!Gy(NNm~WTUo07YL*`7fV%`o}c&iebHFoAQ378Jf&=2R#q0wmC2Tew?wg8 z0>uplO8SqIxEQ=P1h3!Wg^v+i<>)1o_1?zr>?09RYylhHcQa?q;wkceX$x>YVARsu+N9vznoU+GfPANEVFQgaIosQI ze6ZhIBbjy>H<8#B2S+58R3sKQwy={ESEAcai+M5a5>&(_1x|-6HR?oB9PGA6qEKCV znK!34790m1oV>comqn>ImdA05B(>%Ti>xe!-sz(N$Xt^gYt-u4%*?=QD=3VRlFyV3 zomzAypXU;fU2Vgq-&(mfJ0Ns}f>pJAlNbE>TDYfoqRF}d5zs+;21_0W@z&kD3uni> zBBG)bHbl^Bp1Rc3*4CnWg6$O+8HxHETo@pg^=)lZmu`m}E6yVkm*mGEb@i_8Oty&4 zEoPPHWKs*2bb+D_S_Ze>5*Fx+>ObsltU*^A}-Hp=NC<3ItPwF0f1_$$9UkXZr}Far^JM6w$&C zob))AN&HhvF zS8+>9y1}S8>4^)B66p^oAIl&zyz=vIs&K|n(cFS-C+cdoy`xjh>k)#~qAjca-@(jh zCkzxCjs5fIk4>A&XUSAOh+IH5>CVyQ1ljmEI6`Reii+%WniVH$DKj3lU97x|k0%C0 z7y=GW-QC?|(|r<}GbLLq#j4vyhX&^#_e(0JxUA=|2WLB9H;s5YDrP>2xkq!$%bHyS z>3h_?fX5En2>O|*Q#1O&6SW+5#&lCEBu#u0O9AWp zEJ+)esDm}fU6Y$$#+if!g4fi8%E{tFmu0hAnS zM#k(~YL2uwb~Xi0+j@{%&AL1Vg%C+Tf;5QO;bEvWebuby1OR=1=VYbWiTtD!dW{9Yo)by16$RQyNy6Ul)rm zhegQf?iy!eccmt#TFS{w++w8wXuTDvhTt1PmXa0Gqbw{e7Vc(gKjtZe1^W$>zbN2c zeY#2J_T@*SM=atTB=Ei{5^?`gfiHUWLg{$pNtaA+EIlJbA0`pYE#ZEERkrlI_sOHi z#xkrXtr)`}ylSuhqCvw@%H_{_ zmhrT^4tBOO?~#tS(lvhH&TjQ%Tt~uW3~xHg(sci|Qh~rvC}lGB2Qw&-Z=2I&FXP?*-MyEbf|n9!R^cU2hCfa@35x&%P~n;aAd81x zr;HBXxVx#6jIAmPcU62e{Qpz?b%x^cF9o#zbhu!Zbro zch=GNK_?>y3?CgGt(nVd(0U)bamuADM8VO?1S&=K*>GW)g9R_5L81Evj)?d2NPS%$ zm)+7A32z*eU=O94x96Ev7~Q5YtYP6%4aeEL0H2eIwpCx){#XDcB^y(m{kPaxibdQ| zyS+67q?_v&J0EWnhK z0qw7>84|>PKr+5_7b$Vsyf1{ryw_3xQ02OZCQfo3;#7K2~Jq)qT zm#ORNO7wuFe*H=>9nPVY05dm2b7OAKr=Y+#;y~8|?iK{4qL5e^NyH3@Y zyB<|S@$lZ#gO4Ruha~0Vr_4q3TcLu!3$V%N5{uk=Ce}m zQZ-fwf6_p_oq-|i&S=-fD<)h5f))^m+BGe!e8J{|C!3cH1}rKA=mye0*HKaP!KQ*J zHwbd9%dWO;$*xi|@mwL0>h~q{JiF&BETo`-jpzY^oD)-Em;Cg{_a#(Gcz;TttVByN zC-_lE?z}ZkDlU^E?92e-kZ59qyur@S z&eCWJ3rOZj*nJveY?;U)D9LMlBh#-}^8c7SsH7yU6gW6rx!48sU(Tkdrr*^z@$qHg^L6alb9Cq||2~76$^w6QeG2jbbw}Fij&4h=_^X zA=Mxb?jD@dK!>#pc9wH{A)@&b5w$_o^VaR#5Bd1wk(l1eP2=leLcqjBzJuAa`j~pL zGm(acB^W{^&__%k2_$_0s3hZGd|mLSpaypdYYWHovFBUA_Q`X|1NkLf_q_dYds&SK zLe1TqHIYPEX=j0FK9erd=Du6!oYr4+MzfEkBwF+PY_HSd(z_^d*5V9&PMF?e%gMix?AqShc?2Uk zHTC*$qM+QHH*-uS-9@IV$p^P>Y-}kY&grf^@qYtpd;Em4B?yc_!cvCd^J~=dm;R@x z`<%l!R8*htk7i5`;g`GwW-fol-A2({S%GJ~s$AdFSWZ+IwV5^O-VCW;&pN~XJIR?J zV%0g4W0KEibBHkb8z_99mBe1k97A&V2*MTW6%I_0QLkP{UTpJ9{@vo+l!Hlit=>{XtlZG1^>4Hc+% zS0gL=nzOAb^L4Bb@5z%VeEWTh$PJ(qu%<}o@^n|4(x!u-$k3fM0!%6RsYaR>7pI5#*p`0#d!;g6@~i2(uVNL7Gv12k1G zxCCnO-d=0Pch8*`8nf~82++5~U30&E`!-gL7!6^53K?LCz;@+ye>A(YA_??Oz1%KC zJ(Ni6GyyU$HhW7iL2vDVaQIF6S>-$^E=XFgZXRTihb%0cLD#UMOHT>Zc%+BZhgoQ5 z$g_5Nl3zNWTpn?5OcD~fD`Tx>jbw-R+&;u;7B&`oB}y@u(hZ4kncg@JkNTed>*L5gwVZ0JDzB29U1B%rA=CtRaN$B?4g5hvNX`E_#Wu4Er z+x-)=FJImRe=!AYtfvybj%go zkIt0zuXy-2nS%Ik22LIvSb$hxJ9t+zP`Q2m1L+8~nC$gGTYQm10ZX3SYU&++!%xy~ zWeMNY5BjP3nIY~llc*d-f5;3kUh9vEz691i_Lx4;vcnPDqF{}OTj3!^&|6}v9C8dy z&0vl3nyw=-&Ub1q&x64wK@O&YTY9{b_0zL^)Dy-Uen8KA+RCma8}> zk+59}NrjxOe!srp+P$fXQ>>6lhpVh8oJ=hdT6@G%l;bah1B{D1)WgSodlbLlLMf-2 zoSj*}DL@w(PEoZE07r1MGN@;;OkTcnAkG`kQ=?@xIlDUAn2csIVDXBsT-Z+1E)e~k z`PTjmGZn^`;}*4y?4^bN4#p=SuqRS1iw*tLUxmF5Ms(?YU34|QUQJGPWDy0e#F{JR zC}iR<31Yni@yXOq$4h>2S<<}R**nL$SP;d zL3}v1)xO@oswCX1KE0ucJ!Ag$Wi2CrL3qw>O=q1`fk;UhPj*>e<~HxQ18?!R;%;!= zfZcEdHpQ>i9p(*V>)`HDs3;;y@?XAw4XUVc%_$+lCWJ8&my;7qk`E_39#T`5w16e= zF2-9H0Ssjavi4s>Lxsh~Zvoj~XIlJy>*UmqU-Zl13*lQO@7E zJZ0)*yRT}h%KDjgII1%E@#HU!;h*GvRR0w|qkmL&1fFoNcKYh$!4MT`v;<0~eutL* zs@korCr|f!5)brVXw5HD%M0=bGsDLMNHnW5mMje+WQl+k#BNU(!-SjcfNqGGM5Lti zn%j`n+C-oUV6zZ}1p~)~ATI#n*9+}2PqFo%PQ~&W^4-XH=XJmW(x)M4itM!ZsVi%x5#_~5%>SOQ|8RDDu;WQT{%aCk5 z3a~||y>2o8pjj$TbCWbTYLg@^kWoh|WpzNwjyyxSWta)ow zv^U^W{&X;$JldAgW+96@qhVb0BnE_VYj`cw_){em6Ho9(ag#H&Iw zd!RC4p`oFj>@C+r7ixwOFOmZ>c_dl|NfIP$T~m%G*Z&%16IYalEOvFZd`YoYeGh} zAV#pVu^D#@e_iV6?tVGB&kMC0&Jig&^MYX{l&TOC8*B25@99%q7M7oPbar7;?>6Ab zJ=U$e4rz2GDu-YhWR^5?N_R^muw`!ZV$XN}C>|YMvfEwxP!PeU`uV2~`Tjd~J*?}t zj~CM$BJz~fS7z@)^?R;wXVVL;jaj?$)-%YX9f3u5rA(xGc(|-}^kr7R&xa4tG9H|> zLM$AHehJRl`TnG%rG1vcj;=l!ErU*NZ+fbD5T+9=2kqke)7z|4=*XxyxFbuHG53L1 ze^fwU(Yq^+{=p;N!g+nzMS`kXn zH)wGeh@v$>;-K>Qj0h~g0K~t1F`Df`WvTcimD-USY)Qr#5efcZL*v@#g}Y){(oIXb zQ%J7$;u5yU9Lzj1pVJqx3+@pUoAnio1`@u2gE2@_1b~hm@O$J4H4y>in~1{uDj_rk z+!OMJ{BY3N+R@Pv%yE#!X_`nylfOq4p3vd7D^sQRc2p37qVeW|fz9K6a{fx!=%=JY z>BjcDN;9oP>LcB~6*NGK^PlQ6FvV*|^HK^uzU}+wjrtp5Vd1I`*@Un#@31f&NYDkQ zS#O8zQSeo7Sg$dy4?i*S8#Y|Hu7<|^?DF&EwO_<7ht_?f(qGEn7tL*l(Rc!mW> zxs7()*+htXdA4SgwviwSs)|R=p`)!I#jOa|g~QRM6Ms0s3aJ8Q{8fKy=Qw;3UWZ=2 zzrC)1(14n&Dq|ir86cYV#FpJl-Zsd9n4*G<=w{Ki+Kr|Nv%yI58u9zIT#?oReP?~6 zHP5hCu0Yd7!Zr{|1akVJq=XY_s3BzBQIk>7>_3-*_$BSQxxtl5(!$s}CqMEKxs#`& z|AZoRw0RPYTRQr{eI7ROUw@|K&U9-(p}R!}qQb{;iVZSBhUX{ykX+e?jswS$TOgQW z`bc#8?yEo5&j9#6ko?Tkt5~mKoFP|u5qLV--hE5BqdU-2F{=EX>RgkyqE{D|QpIS1 zaMCxO8V^Q|!jBzsoV^g+LITFEL)US-w6a~C4u5N#TP_&o_NvNgVZ)B857++kH=|wg z-76c#sO8W&aAsTRjK_92Z(}@%BYtgBENuEs=!gjf4g(yKHw1|^EkNe+6)l@&BAv9{ zC9pnV#8f}!g87#u)YC!L-Xkp-tl3 zB1ZLmpO?v^2tS3C9}-Z5r%j4g*j40?v_`*i=j3>w&5;Y0Q91IY%p7{yn+2omwROVk`&L>o-;wjyQ0;sW>aJ9babOBN6dA=~!Agg@Ze9W9(i&{%TPjUEU+L z^0undb^7)4GZ$SRzuvnzD+DGG7^|h!>(Tqe&{5w%5^-0C2i$M^+jeLTpe+`9v40Os zULGy{S@s;;$AqnXPLz^k|2gQ#r=f>ema;ro2&E#Z&SP8p4fJy9k{)&!X#%q6T(zTV zlBW+pSuq88)91K9n~f7t3=xyo6jlwMBFf)%zsIJPR$z*eDnz@tZoVQB5gwEq?xl`k;tS@3a0Q5N3MYe&8KM9w6Q{<@rYl!1?e-{;%$bNVbk#qRR`z7&oPE0(yag zZXcVzC0yh`mv)7I;Qnew(!lUJf#CXDe;znO>8575uZPx+ZRHXy1b zb9+BV+=B4i(wxzq);owY(8bg>Ha!-ZYhp5+8VI+Uez?*GmASj9dlb9o2F0TC10SCH zr8(-SPa_}|eib?-oYw=Mfr?psX6N|o{OqLvb5lT-yQ{vTu^5mBh!4c_5(}jl>&ZOn zrt5xoZfco~vq1DgBZFFi^DEjgUOPz;xzguut=i^5A~8soLrOc9!12{3U7JO(RbEm5qf-gb6``CyreGdT>>_#II|m zmEOQ;jhDyZQ!s9Obwe|Q19FY9K9`|%WB5>vWh4`b!RBtL?RlT8t<^yy8-cMy)-Zx* zI&5c*W9i^ppdHS2yRO56IHFWw@@W5XwG;9mL)bOG{(KHp%6kf1kBu!-g)cS4tU>fiJ)f+Uq@#Iv3jWALFZU}*e z|2ZU(_1?;d_n`zf*gh!sj#JgGYMN>|(|A`tYAXt#+W}(-;;x%i`0a6=0+){8`3&NI>6rkyKM1AB+4pDfVI4%15#C{G?nq9H1frVTbn zaW8p;{*}=0-A2gK%Oi+5AH$b=nGF?TV6bBX$6*-w#Tsn$aoUM!dLz7lFR@SXlQOmsy2LMKKA3wbgvU_s#JY_-RF~O zJ7XLG{^ZFZRsFbH<~cS9(m!%&Kyd`D3?G~$l+Frw3&AL)Vtapm39b_&$AC*eo>F^T zISdTH_uq`T+k`d29gB8(rFGmMJt{htEKuspbCc|WJj2=p8xbj6u@9+>aaV4_(}H^W0e~E0GXdy=56%GVFaRLV zHbgWBMFQ%W?nmI}L0U%sa&&Y|d@mMz#d|FD)!iSYsD#?CL?lwFsns{r08Xu-C5I8g zXQsfZWJ_?I>v!hc)T`aN!Mo4}C4h_DU+AmJsAtRNONhLcByg^4jlzJ3Ew7H^fwda7 z%MA8hI8trztjml@#VCn_yK= z`74Ev6V7zz^zzIMnJA9DCl(YCH(IzWfz@if1p7o+KsP8G7@st}c> z@cEC3Lf{lP*vBBx0tp-F2YL_#G7Frf2Y&cBOTotWXiFD4$a;yl@*%nqKmSvKl@f1H zW5MUL`X^-{)9!%+@Ub&+vAv(I(AL}#$xd%V+JyBE+pnTush`E_c`q#nAPUG`CNb2? z_OLS=Sq-W5umFn9v$ih1oR?8IKJR^Q5LRC&Y~pDf=!pb36GlfDgcA5zDf>?rN;6+4 z_+MrbUOdLXCqp6sZ3=?GDRV!j3>FQL!mS|6NlPl|;pRI#1{j*n22THt527e?=L%pr4*fYn)zP2B#-o&`d&3}7>9#1}g#$0vJ zr~I{C4=E)j^c^@5%vP>mhnYf5Ucohrz`6O%_%TpMK}q}sC=L_?$kr{9Avrrpqaq*i z@RT6S%KHQB%eTrOublgor{#g~tj^Z_7Am2yXwR?NoxA_AZ>9}HADje%)&L)1vIx0f z)@Uxp92LMu!NI|Df!FEq|G%7&$6VJ3#(ZN+lhoMKc&@(&3CV#{M7DmE?0SSbAIAN6 z(x=J^)`-H8tdPJeAME5Oh4b>rRd6$HY;f*9y!@zL>2wb|TDW9#-0Cgrd?xLUya5oA zm?94pQn1EA=#%{O5$yY2WTBMd`u3mZ;DY6{z#sG;m@hlPQoTRR?Aa^I z-H5?{Vnnr4R`DkNIO{lGUDn#s9q{X?5L98v16264^6VLywh@ag_z0Dc zYlKrO=M#O}|Bpn*Y`CYhZ!iH$eWZEnta}SkSDuDi^b4w_kp3X60hOxvGZINMy)y;; z^*=7-0f+M2Hak|F7rM~5Z|lk_s1s9Cx(5W~=;$Z{sY0zS0VE7ClU~SPh6d!g2&0L~ z@;DA0EO4)80DtZuhE&%CK)qfGwDvl!E%qM9GduRBl=VM%BJTJKGg=z^R<%L{kC^Vj z_y=Z-WCezuqoZX2T8!WnLX6NHcT=prTb@{J8(3}t!nl+eE1sRAE;4C8*-097V!yNT zF=afYGg;zmDg~4`A7#Emqv7dU=gAA6b|N6;uR;D6a@eE?Nj;HKQTj8TS}QQWa^3UU z6gxgZflvm(PM&nv)EqdT7HB!Pvgm~w@2x$8Ef;*rwo9GFDA2+kLk!AW35j#XjX+ol`KeU!`GP=KP2MA=z*n%{q&7}>w>3uk}!JbiA+X@Lk zx0hn^Bt*dX7cZ;-Afnpe0UYl*3BfAOxp`YcOOFK2d4OEAlitF%b%%5$hGU&SBAt1Muu-f z!SG%B`}fq%n8s_~WAP=i02{kJKQ@7VhF#}BUU`8h{Iy%`E&{7Yq1P=4tX=yVQ2eGX zQic{T6beTs6zFzonV4>41++|Urf{zMyOGQ{ctosjjr=h2H;Jos{Upv4we7Ue<@8qQ zhQt41YQK;R5^mdVBb#2g7GDPx>-WcPGm%ntEl8#YT+Fr|0P4+%(GCz~vp%H#0Mg(j zxy%)$!)wZV7MB-)peT==GGR!?U-XsL;RW*D2!KKW)mHwBh9nz3gaX45tB_JQ9T>{V zq1&wW11;VlS|959p}oEpLbb}OhD4{_^)aR50yF@;zlD>#(0ABCVjrAu8YACn+iMWD zW{O-Ucf3o?ahx;q!3g|MUhYfFc?7b}SiP_UqWy&Rgdf?XTMz<4N&}pAleO+MC zHQZRlFGfV6`{j_6(5A>SDOQ3T zNZdS>mf*+if$ZR!`RJ1{w2@JZ`Wi9}KY?-qkh64>NyW2s|5Y0bN7glpEVZITRsSNq zWbEU+l0-L?IN>A)^5F&;O93}VYgC-l7sKeuVrz$RcDxr$np0S!hcXGO?cVnU;r9yp4frWr z%Cr1g5;UQJu?5Qt+bSEpAjS*Xip-_pL%{`y%dn53qP(`9V>i>p03J^ch#kYcvHmz#APm z-D;)|1i*^bZVT|Uqq%J!AvQ)7FbpHO>^XEYgoib!u%oqgcD@6!9aNFm@7%d#-Qn>+ z{d8(Y!({+i)AdF6b|w)s$E(M{FSRJV(t#5ZX;Gz7`3yF#eb9vX8Hx&4u4^fRDtu3R zgCB~(_E^msf~{B`PGBj){`m5A<*~bm2Vg$Sb8lQMe*hc*1Drld?Gp&~3e5U#QtoZn zCt}oqh`j^nKVjVxSY(p`WRkTwa)SNaRIu4q0fLtAIPr;-Vn%6P8)r~n_ zU0o1Pk%Og1+Yy*4cw4cv|ExXBOC`iNPxC!%hR;ME4;uYPl|`WU5d5JTwB zq=7&{Opr<$z#Am-<7GUNmUH81Q)V%E2}J>90{Z0C@1bw@-5aME>4jV-tOjz#V2_wz zmf?R+Imn?`qSrW?%^|b{35a7gF3%vc1i3OuDe?#6;28*TQpz|$v`}}xD-MBeHxQIm zLgF@LSM+i{{Tduh3qFMUI*`U884KXAqXq3bBIyT#RhppWXjb)opZ`eXr*`ZI9h6ss zbTZcL^K@{OmwSDnR1i=QovQToyg=dp?)oh^nQ0I0F}v8%gJpQ7UYd`;i_xM-5>Vkw z&$kDpx)JKb&;(ze70gO?rc*?yD2Ngx9B`GhZH0Fa>UN4Mr>$Mt=tmjism$MewQk8u9D!1p zOUdGvj*g%JcuGK5IcF*7d$E(ZdH(CFwkFyr@{mV$CMiAK+y{rBr=r*42` zyUA?}_}CJE=rFM{6s?vxm;?mJ=i9kwUqHGt0LF-!+J1=9=l3n4B3>fWM7ir2G|xJ+Yh0n3M~$5sEthl-46Qk zL)+K;z=Zt)=;S5v6!Z!HFC*(ReTgcRhQ=AT%ordVjF43k|3t^V|F<4pk@s7s4ymRs ze#D(O(Pf=AjkkjQ;T{p$1)>i8a07k619>FK=Lk#4r2p>&{66t^d)|M%P=M$O@F!(M zUzE&NzY0=^z_18>)n-*V;>}^J7Y3l*5EP@}=0R9xfONpcoQ$C6piza247$y1uUm>? z%Aq3mw(QW|$`dcJ23JyzPu)^X>N6dUuOPWIKk+@(xBnv`0Pm5~g(ao661>D1(jFTg68xI6lRYBAA07Pd;fmd;OmI+RhKar&{F*ZVhBo0zt(Yn!_99#&n1+p z377Cc`TkVXkHw5w`8PlU7>u8bUtFzgWLdt2)zu@xidVwQ;uoMnC1hb`WPJ7=T?{au z|A<5_!$*~D%op!Hp-i(TsoJr4O=LY#TvV7870gTg6aJQI0DSIsNVE~cw- zsx}GXpNNMXp`_2@tOHLH=%lbCmHH8#9%Xi_ssH_6=?XF+-Mj3{9BH8Ldk;bp=(2k6 zE97MUS8_nDvA;Hi1x2Ih@hm#f*Aisv-cH~c0#WX$`uM<9PIYCI$u}tU(dBVNWxwk# z83QH(k}~Kf-$QLNU_a1~un3$8MGCPkyr9fG-}1WBhawm369lDdlHdk~5E>)N-=jJR z8h(7(C}#j@_yZaWHwv&@wf(oYXKC0>*cKv|X5patOhX1`ruT4xD!)Ko-yeqdr&dpd zyp7;627dy0ja)!{48{vk+7`i?4=i2Fe>7SPn)nRrq_%?S5S2$kmN>FQrRE^*9g)Sf z>31m4{%K4Ad2U``Glf(kaeYR6u0{PsC7y{J2H*|pD3y<*g>&q5% zvOU_~{7^eS-Py-(E=d;C-AhA7|FTBMeK4PN>h!GU^UGQwa zK?#l6t{^f6ZdMhrXvh{oL6U@^V(kStoPwUh+&DGtQ(OZM*R~d>F=!e428uaLY)ri2 zE@9vEcx5S=i2=0)h$a#K%n;aS=*2E}FE7saAQUZ{z2XxC2Y-YM% zwIMy#1APO?3o@~OgEmJxslu}hxSeL$kFgPE59DqLd*9A{v<*J=S0zT7{!sd(2u;2+ z)*JYpTf}}3ZWF<*mHPbyvIUCLzpsQF3zU>+Syc6}fx=oooluh4Cq~!ac79_+0?~Od ze#WI}85tR&66CP2vLRnnj~E0`vHh7dzFBbO)%p63sqb8|EEd`J@u!}FLPMkyJa55% zL(WMKcdNf?9Vj0qxd1ig{()&7DCqIV`^$taBhP*7x>K@ z$bN+gwRAW?WT1N=jjF-T)NYd$)?(Yrz|C5~^VL*?^s2 zgddQjq zO3*(btT1Q+3n63H^Ws1m#Nb_Uz(bN1sG3Q_Pe;W~yZYW;@`d~&$>ulClUTqWqJV^j z&X|+~tM;IFSIM^4@BYG!+QuAee%P(@Ym01{<&OU^o=M&SdzE(sHf8XLgzkoM+a27d z>=tY+Vah%e0+bM(pAy94-pXLga^ffJHGdCBe@tMF-n6Dm;H^bjp>QIUTe4b|LN4KL zUaE7OI=%sUr=03pFVw~k(CTQO8&II*;XzAhSDNV4#`rZEC6#1Y5e0cVJ@+iZ|Nd0E z;bYrsccV;?%m&lHPEyGs_L99jl%shs`m!ce9c}r%J*Jv@=)NnIhLJQn_qFvAgcJVN zT^CGLPpoXJWY%OW(l%kzR_zuE6-Yu6{g`!+pRJ;TFQqQWYwF4(*3H}DY4GLgjkGbu zo_l>aU@>_IHTd(e)_b9#aT^zO8L#YAcxD%bpZ%Do+A<=s4mwKlYK(TUy#2k`7F~>I z7d`~xp3nFloEN6g2~W+D5@d^0ah1N+rd}MW-{jI`>VE9dv&HLVc`cqvA3H&gj#40` zXLVacs|ku4k=(9)B>)Za3YbT5U# zR0u?sAY-|4@XkH7@3~kNg^fM1Xy0Z<1 zP+2PwJnhpX!&gOr$(Punvhsv<(4jh$pQW1Pm2#el0ZB*M)xlq{j_%?Ug_yehD`5uT zkAh^p&2LISj7I$omb0L*JFH`OGPm5cW{7gVo=nux$8W>RcpWudOibY|9pOlQM(E9i zc5^MI{5b=q4{lFx^4%81{g4uTGFOnCajDr=7w%zi9^cS5Uc`N^J!~ijBr9536chz0}EQ(+WH!Q zG%((;3JlqzvWPR=Td_0)EC4~e>Z2|fKMdn;x7`q|+4uT{5q(pF;x5&Lr<`{nuQt$1 z-iW}UX;xczM(E`H8kKLThmx*)$W-tRITFW8_dtbA0ogVed;09k+*; z8RsfTXeH!KKR#P*UKd|id)d%_u(#f7boO$7G~)g=@$=}m4wn18tlff1RRB~%oLU#O z&ca|OMvU4{{FuH%R9u9RJ;k5zKbDi~|8sWb$1a)XTG4vPl$!jo3)8cKswY<3_fT}N z9hP*o398Cme#HDkG#>Z5(82d*!K+cT-RAvXJnn;FccRKo?9t;o4b35g+wAKO7mfpg zXsEaKq&i8H!;;%rx|iy7tRP87Z?BD=eWYdTmepd5N25c%v36$6Xs$}=URaTwYF}5* z?x%%Pnt9%hGaNn7&v-7^^>X7yO*#CHq@0#iA|IET63$G|M5e1hOZxa5&5|28k1TOQ zes_M2n)@;;ZY4F|XTWUXbHw8k3L0f~jx8*)J)D_Y{jFDSBZqPAyuPLL#GmYqO=aF} zteZ2#XQGDC!H^D(gf{_<070sGe%~L&?Wrz{{*e^OQ@~%sS30})7EfcEm6pBr>f=u# zm&*1vwSKn9*BRY4+h@9Zct25`S$Tjqpd6wr_53 z!P}T@oEz7Ski%epv>+l#L#oNJ_3VOx^o0Lpc34fyR)`$c?P%PKHQ!`*@S{?99zs1@ zU`*VfHs$`od*}BwBog{BptT6r>7}oHdJT{!D1JHbaV}v9g;F|VotL9@&pg5Y;`Sny zyk}S5lI!IdL9j4m-*{8PNw8B=#OE6&<4Om6cN&^0P9;JqvS=4bV)Q#6E zn>g=nn>;@-X3j;1Xat~&E~7DD3`4Jb!i{bh&_Oq3T%_Q4kKm&XL8ztk9|jOh&Vwl( zZ0E`8dfBo(JUme5hQ!AQrKITRZR}M)o?)Xk!~r7l`!gM>ybb*Kzj8*zOgtmErtK#u z1Xs9kk)xL7zm6B3FHK|9V5V#C8~>=9@|-QP)~K>8k0<8$pqJDW0~L`??8AJu+o3n3 za2t}Et=*ds)>zZ1OR7br?A7+8@Ke+{Awg-WxibY6cuUxE=zm(dPYU!G2&4L@CqfPi z29wsXX1@krIq|}lyeAdxdsRce2Me4TT4CjJ?E>$*5Y?=pLdpaQ_Ojz zF&nm}Uc&q6lUH?qVN}}v3MKCz-ep(;2CZ`22s&B0(j9g=Df>w^r7P~7Suod-t6kgy zw9GMZym44wRpMm%=9@INUH^{b#jMSJ6N@^Mhe?}H5JB7m(i$& z3V$lyjd6~^3E7=BDxPGas`ElXW>}d>LE26-biKyZb<^&VR^{;` zp$nn@F2N3sJ*A(-7W{4h{>H3ir(NwmSd{8Y+?(HR$~vUcuKnil;q0o80;m;mAGgXf zdr|zv6k9pnF>EivleKz{*PCj2bctulT22*J=e3_E!Jt3&#Q}Kpew0+z9b5I7SK^*N+@nc&u^CW!l+N&pf^s*SGRIKfD({k8Nh=NsXXmISr!oBreO!$#9*{4o+V8slWm4jQJ%32c zL2Q)IdbDDl7rvxhXw%2q{fBWWf*+^&?3@rKVP&<)?WnZ1JsEBNZywpAicqUyJKM=e zFMIlTt*-{{M=yy>9?(TCl~iIWa7=7h`R-vW%I{26)DHpXGm*VI)E^YT{8Yt@*LV4m z*^!jeliFHQH~O%4PC)d#=z2$Qj`{Tr`|4s^@=q^9Jx@8aGQ}crNIl2un z&`|LA({iCWIqla)PErMca4j>!@2Pme-(y=B_n2^!2kYfue8_v+_#*Qa>+gk!?@YJP z=W@f8vm~0Wmgl2hPxgX4jiBqZ6}PpK>DX%ii<3}OzII=P)hO(ns*IhY zgHX_bnA(NA97jJYFD)_7Ib|@R;mv>sRsxyC&kiM)JYzV8KmiTuriFt!&qCUtv}Sa#$Y8D&L7u*y4Vi!B$_#1#AQ4bX z&~AeyAN!+CoCZF@X{Hy>(a;8ce_C<_@uet)^wpa~j5LgADAsAbE+;R~<95h|17nr*U|G9m-wq5%>N+vp{j0LsYuArZz;kV)$7=`Rz z=0J+^3&Myyq0g4dDbS{S{=X<3tNy=hFEk?t-y7ZtbW2jgS}t$sr`0iZ8|8f?Wj=`0 zdqD4Oh|UYSu3Y8Ex=~bqR}(}%UryY<^e`o61z>yejl{OPosLZXUNY?Vyu(AR#dAIQ zf*MyKz2qASZ@#B$!shH2(c8Ol7s;~D0^SMD>$J$$;_;{0bvU0WJ~do!J-iZ&;F=2M6i$^jcp;|~DywML2rFvcn%LWiVmc8OMH#7GO zT=uoc*{Qbj3wZvo#3|SN4;Je*3nKahGj~(NQK=1Jm*8f^S$)9dx;@ks-#MTI4K9N* zpN!{1TAThSQng3rJkQSq&bM!ci`#t^QBt9niG~{Qmi28)7TT{vL`q?b;mu7JpXTX#iIqOnsu3{Q|EGouzJ6zu#PS?X?rVplv`CbuRiV}L!{FaK7P?xpxNbAkWUyne8;)|oUSuegqpwXHp^ys>wxGn?(h|^ z8qT+#wlb%g-BSY#T~GnskDcctVXCiAA!5X({Wn-|A;W>d8 z3}$l>C8#>vKa8E@w4ppe3Goc6n5eRI60tgL)ikJu*DLM+dNE!UWY@mU`S5IgLDq-$ zUsc^?HU7Rk&U0QJ?g!SW?d)oX7B4#{Es9Wl*d6pX^)-#x`UObRC%8NKNU8%r#HFsw z^HWiLu)Au<6@O7F?y~*1a)0?#5_vyXzbLCj26(4EZ0*+C=}~xNjEjofXz5A5YILWE z{jmE7u+|p9T8OFNZdvO50()H{id9<*kXFfiDjww=v#zXJm|N^W@fYP{n(F^ph}xgK zw)2CyM9|{g*ZLrYibmV4aK$sPQLm?JTxUm$9s;Rp_%|;lEH^S^pRFI;p3L@Z)ctjQ zfQ=JzRe^mN6&4EuLGMK;hkd>An6QoD4l3sITe#?b@9SP74hxI%qeDg_!?xx5I^W&D zZj?RF6x&2)3D4bF<>yiP+_^Z^;DQV zWBwDyjRCBF`hmzE)9Xl3J zyW6mR^e?wg_bEA9Y!$7`G5!vgw4VjmS^E-QZ9Q47Y#z;0bU)O2^6J%to!`Nm7D-pt zy<23Jnv+EawpmhwXdBv8{Baj9+}kf7H5tCQdp50oao;H7!KpEmi_Iu&qKx%^Xk;5L zOVOtD)37Z|S`g1pJas)qeGjzlQy3-%fuBOqZfjQA&wAs&)PW&hAS4qVTG_`cn$Wqp z;_h{OBu##XM$1T>EG(=W62>%hm;4mfHY~qji-Ja5U;?)~Wk;PwoB6Nr46fb6cxn{u zzFC{ujR~E;QQBC>?y#I39F|WVXZfs7+m$b;yaV|6^p+y3&1z(wmSxSyCZeaAr;a`J zdSZgrpZLM@Nl>}E36frDTR!;iesbfbu=>+bc=ek-B|8B zTf|U8aV8vgx-o@AB}K!Vj3y+HMwGnpdU-!){aNyjiksWDhnU*cRe!bAT9&>P$d-{y z2#OMGz8rron-$5y>N_ASVLCyF+%1a7>Ao%i-{smxY#~&YK9uvf)p1#GVtuhT_G`Z4 z!(8UPHe&mhWW?<8)>qUcPN$j)ixHaIP6oPWC<9efgjQzq&r_pm7Qd?hM%P@5Xza z9Dn#qDCJ5|c|}T^9#%@OBG{)!((Xb_gv80mbi;^2pCS1&n&- z0{yyFIyvF!D!o^~>t(F-uxtc=0RHsKYT|wo13V1X*zTuBvAjYyZ{=y10`nV1S=V0# zA6k!OJhAq7FL$N3NGqO!KN?v3rL$xbN-Qy%H!@A9+P)_K$1!mTVudy`h^ zmF}f?N_|7Knx1dJ<>HsMkW(~Oce&G__<5o6PE=4+d2V1?Gj&{%TyYhhU+*Y$uPLPy zx=Zn;GbS9i+bw^~=J@h+EGznqIut5*Du`bqI)6yLeF|d?AyVs0K!84kAVKUG5`zm< zH9#{gD*0QrToljT8U1~+sW=`pbK$V*D)X4o=zuMK5XQ2ISWg6P?Ib=UmkQ}X#}6kG zdGF>Iy1LZ3?xQ<`e`=ibNKUMFGjlSO21c6wuuM57EG%3+)?014lzcx{KX zU8!W!$!4;MhN53r$h00Yc4pjTkaltV**6_oUhe6m*l}&&YWc&sP+N1Ldw1$me|L@{ z%`U-aZ)KNlwaB-t+Q_(J&J+>@#CHt2>NcB`JlC%O|eH zHO>N3mf6vx3q(;nke1-~`l^w}(~<|GgvN!H`-X#b&Py=X6h|F7;oHV_08CrUbe9)`_vR z9(4(^y9hpCf^^5?Wo5N0VVDmzWbtm}McaNdapr5Qf4@6?fSa0Kev2^~OM9fDuJ3ih zTSNP{t__<1vD+Uo%L%I&Kb4vPY0J*vPmd(_h*Vcq4G9aAw>%juHUe)Zm#EA^JGK+4 z$WUZlnOw>@sz;c+l7~r#MBz_u+5}&!v-T`q2pDN!da`xa6uWRyaZPdHR6ELQni+X7 zed^iX{5p-2%TL3S>+tpR*`OTeMrnw6#M%D$n@3&OgVk@Rs=o1RrFv@KZP}f%I6JG; zd?mTjHsGP|Uq<01CjTh-%y(F4r?=)hisPtSSVZit7(BF+qu+9Af6YzFmj`SaN5AWU zN?yADT53*sr=8;?%`|rPRYbu7f@v7&7URjT2T?;{;X>wpI)lJQl3XX=ae%B<_=St{ z&S5h(w^`}#?u&DoU|K`FnYefe74}z4dv|(6u#=Sdk*nT!F;u6ZyQse0#wDq0DupxS z>64oC-FCza_x!T6p3kSt#ojk#+zl7g;CS$yRMoMSXlU*!_Ey33Zbq-)GBU|YPU2j{ zb(5bryPB!K(&*}Ve zBB^NoiVRED+#&gL(RuqVpk)R<_#?2&z<)3h0;Yu`S#J<)gN%{_g5P08(uwpecTr1b z%0ItL(EFb4!V4UI(a_&peY>eq7}37RmE(nTC)0uX9mOsqB7~D1*&nKR7yDy}4mnSI z3QIF?JO2$6LNb|mrOk6aw$-9~ zkHkZt*yC(#Vc|Eh=cA=&L?9Iz!ky!?*7;ZdiSq>(V}I-Uo6{kzh43Z2(_SN#3j6p! zqFgR7>71hORgjDwR41keIw_MIE$U9CMj?>P+l%=9pDY7Y97{$T+K$^spUAF)48G!+ z+d9rqRbMq6jvF~ki?G&>xh6QYhE~?gKPEd&Wa-mZAbkJ2O010mz4B(MwC>&0fVEOB ztCmq)h6qtF^2(R1i(g-w31Yj_XPX4?9S+b&tyQ(z@m_`eCbV?dU6H!aMjsLZLR~fFEigCc3`Aum!~RX}+$lF5qT`etpv1 zuUf95?3u|V5tD09bc8RV#3UyF47#cfspS;>ujRT_qBUYo*HbHm0t-2bg;W`AK7SK);A?L>S^|wl+@K-L3YsFuBd9S4k9JlW$ma` zqlCqGf{$n|HpcQpNnFpW%9c_iV#1V6`KH1AK0giTVzqt&|Q-h8u~iMH0soJmMBqKUe6}Pzs=3VPct?)WsUM7 zIa4m)0$yqrb@c(zcEO}A zr!%5!NR9w>t&o+fY*z0eC}eo;G0}!WTj^MhHXio9^-qUQ+wv*{X_>b${7Q*N)_(MJ z7*9Gr5Bh}{RQZS?U)Axined70v-XY%yD=gZ#Jl=`hb1_6jF^?;?Im|VbM5m=UA{Lk zJn+Fw3v+o|XKVbHb_HRu;LRwo;eQu$?Kd=C+!gw&n)ub%y07dGMM;UTn+}UtmjdPJm=|UPL{wtFcfKuHw?N6* zkNE{@;y?H6(s(DAX2rA<6lH$>rbho>G<#bOgM6buT#?nMuV1rsNz=$DaQMe(k~vP9 z>=5x~`+2E6{CTNpW!-ymT1}#*)EVrRz~2&2n^wry`*Jj{EP$jX3UZ)-f?dez zz_n%#CrVRU2$Ai(Q?VEmM*jt(X0zZ-^!BO&yqsDA`v&5+SRU=a}uxL2OA zoe$aTkOJ#1B570ZuzVubGgEe)Cy`>%@@XLO>I4N4SD#~^;={$4$+W_n119X=dss5! zcwq1W{t;CpCuWUKSS$};DzCBjNkCcI^hRgx^!Fl$=2-xmZML|oM{S>DLy_G>aeJ=g zvv-kfK$gT>c;e?3t=uHh=uf$GOpes;Q@^&V9C66~dmd3&|B1WHX^AkCkCdE`uRSRo z6Hu!x$?mt(l?3?-)F~O@YK{ZxIAtH*xs!l}DP)AB7l z%v`g`_?eGeeh^>j(nk%B#Z_ZTWv|MP9WZYncqiljR18Gc1CnnJQ+1dz3r`Iu17ky7xDc6-5=F9N|}nvNUdC3wUqR*cKf>XS-eF0`#-Mqdb@U z6Y@tlo}@Q@7Yk_WNox<&y0m+pu)kaDHc|X{M}{=78A@fX^~MrKp5E+KA3O_;SXK)p z#^WCXKPf9n4pn`hK{@VtwMoX2d~hq=zsjcA(w+dKZT`Z9c^Vik3e$s-S-}wNcnppf zBq&vO!W5ntLxlgJLX&Fbe;WE-hH_7Hb0)AqK?Dl{SVkeLK;`E<3>c(^3qwR;@KB_i zq=lLtyPqY6mEOO;^*5SO+LxZP`k@-+9@A6kwdo}d~(N`dSkMl35cfz@z``q25UtC&*@zS}97XS21BilMQ z7KeZ0=YytaE7@N>;w^6N*a?T~%=-2W=MyV7 zeCe!sGxzExwW-M0wmw#S6Y{(<*r>H`hW+5B&5MVO@Oe%7`iR#at{0>?}{fzbN60QYxm&(P~T0DB&9?&TGuVL6* zYa#00wOyX$(;sXaZLG7-dN`P!cVTDS+p$M`Nv9_Fwa+IS zm*CNc+0peG6O+<$sSx-{@}-x(y6f!GN#d;~KeGAYiZ4Vc8nQly{FBYOPqt+%d?dJ2Q zg8u`_G=%stP`a+d^!m$6NUZV%ONf~E8F;sf!3bmeZ-n6KuD^@ZA{#^1J2iE>lZ6jo zxyQbs1srH)^qoH1d1dnX?Vkv@DF>@f|D5=k9MrValP^9G9NkgF2}3sfA~OT;qa3!B zWN(uy(Ep9faQz}z`stA~fj6dqVZUkRHxEJn!$CehvG8%=1&zgybNtThX5c;hiB&>) zd5-}Z5|wkXmc>8|!*lkqkuRvbAc;il>InX%2{K8YXMKr`VO>hLs4Y*b+*ForSI!P` zzS_bsC6AK15p(cspf5P#jcxGlDHW1?4Aifl|49o>?yip{jchGb9m;+DK-Bw29{nGu zf^E{9sCH%X1zjsXF$*g}9(%V=HDkXDD*Iv^xpU=SL{1t{QF$YU#!_ukr<^( z9lKz^Tn14ou4RoYEG`&AxF)1eVu^;T6zY7q+=3weBH$@8F)`tLLF5ACB)gu`eXNcK zIpIQg`qHrNyN_*}BzuM{l5gg$J?6{@7v&&DG+p!)9;0|;~^O@V_vH=J;CHqUjSzUPAO@$%wr*PU4c5@S2jYH*G2k+ z0hLN4k>ZSew?Jq|DFq8H)9f+c)yPjSKU8||OtLTgWOUt)EvZv5fKp{HyU#jp1@nsf z3SEO@&#?BpS+-&G`ByZRRi-0u(mvPU2Q$CKVoIXtdD$V<1Zr*Q8Ra7Gts5 zKNKiTPTyMn9*pbJ{Rq0%T=wxK@i)(?K$b<(hBd#_BC%9JvYAuyo(5Xwn`F~$VfZI2 za>*9CqUi*nV!RQHJ$Q95TVYWi(=Prqye7WBzDUyQ==gX)Orr#F@|yE%T9m1~&s@@3VL5h^O$sE)kKI!vx6JZ{9#Fou~a0P*r4h0-%WjXCJ{A zmZ2b4c}q&7pce%dCna_mujl7eP&$l(f)+(LFXpd~fuNYw-OuBf_v4~%a{Ix9C-$HJ5k_yAx731|c0;2S9V)VdOE|?^zJO@th*j-x!P833fmasf*L7Me?OEOt z=wvAAUS0j0a&lKtyu8{OiEj(v7kW!cCWOJUpHEkddb8+*m~45`@X%I%)r^61-M#ZH z?W5}Ts+{VNs5jpT2)Y(gzLk96t4ps0ZD+FvIPTpYeusX81cqyMoU8& z@r!a5wCktxBZKJ!Gj>ITC#{YP2Bn<&inwBvseD+Cy7R4>-Ek~!zh@SDwku{)I!_*A zzdv(p-p+PMCkg(2Myz?lH|c802tK3|D{=vIe2R8+oH`zRt>yRRhFeB-pM#nob}!ze zDM|QSWwuv@McU2uyVd;N`1^YYb5^=RBwT#1`+vcm>v(Y`=e;y@b$O&X;%zF?V*gd= zjN#BlT0aXF>gWxbx<{9dVLw zQPcLb7e-78e^~UI9xkJ7W?jtLV>+k7U|6)<_XWW6$r&32k?BRC^M@yl4E>y{9=VuP z5n6e)<0(vVZ$6FSjAdiqIe#yBGfnjcqkNC(NO(1s*X@QV<|lPN27fCG6As>LpDi~*OlkXlLdV6OfGDi3k_-u zva$P-HM|!$_{-SyV9R)dAg8UN4Xb&BKdQh;s7FTYc9u3bIvz=!(F(r$i-K{c(F7?` z-+0Ha8!J1}jU7jy-zVoHjh$)~i5)=sKFyymD{W}J z&ywS^cd)ZKO6EB7_tF9VCtb1V$RIOM$#pSX6%EypN=|*7Sb7+lTzzX_|Zx* zhn_7Gnod?AnWf<0)rC2ZNJbvDc;pk9{Ge8DDQRjt#S%#ElRr+))@%5CW|Oj*JM16v z#D^d0DW0{;Rq2*vX&-*ivY`Z8@;smj!_7G|u;nZWm*IaV>L=HcE^Fq3UQT@dR^db& z15eLk=Rf-(oJYJ3Lb}mGk|IA3q(%$VI+wqVz0QvM6xA5O#@vdc<3zWll%ONAK9f8h zuQOO-vj@@q$f<)EN1%;G&|#P%XTLcat$jX6^xuka+XzT&(!9-@t+r<N;FN3sqBv>mnENtq5)EC#SpQ`d^()no>$@jf-{3a&2S^LD&2GtAC?vJ2&%VTn z^*`0O^!^6dt_ckJ|F&a^*V*@PJYz7cUd?L>g2e6dZ_zG`p}Rn^f?2zrImyTPiQZ{{ za|VwrAz}Ean2MJv-~07k*_NqEs?RqE*e-kqBP_n7BETMi-mF)-P12k;d(x5JI` zZpPOa$tK2{YL06PScm2eYVctcvMHD{izk3 z_E~-SqFbDDQ~FWV>dYMNxPh`&B$@W7zC^Z~SKO51$&=v&FDTER1TYqi2U>BEr!>0w zF3EXh$;QVF@b;<~_>3s#wIKdK7-@AA9X$-XRR9-|S;c-qLDZa_k)Xwmg2}sJJ2ZV! zaOXgJ?jqlNE!fD5s+cZJfCB%5(Fpg?P;BfsUflO@?(V#|JJ5wCPhrL5*OjzFNF>zy zM}QCC|1^DokBTtrdg0=R;ZO0O#ELv-rd^j3=8mf|*&*RBal5;Eu|t8MS~T-Eum5!y zB<^s0(b^zcU^GzAx~v$FZZTO=RAzUp&lyX~V#4IiZuIxbngKyBE+W^=lTe-LIxSHz4qz~e>h zmU~YrUZwfMg7)r){+ymH&xDjlsy1J2zJ`@zxWJlTG z_I^0YW)j;6Wyv}4RAC^k$^?&(@o1F_b~InsSyBAfr)?Co-Z8->+R>^pkcvtKh`ps3WH zk&gK;vSSri8Kw*=_gCEgMb=q&vy7sZthrl_B+7L9yhNxdusSO;_lC70?L@5yw`$1e z;3(Y3>VfY%pu*^+YiKoJm`><(%^*04i1Pi0<1|qJo9EE*q-b$J0GGO9?Tw=@@eApt z71F|Me-mEJ6n2m3Nxb+QoG4KYc*_63%HBGvsxJx`1yL|4MM6@3sC0L$qzWPp(jwj6B`GON zcSyH@G$_&th;&OHI;HE*?Y;N?@!lKb-RBq#jtcwiv-VtT);GTo_d%mlz`LS9(w#=&X z<=Ts9^ODz{-mi#>nsGi|cVvlKEInQ~OgPb4CPb|#d{kHD)h+QBzLkveKHBc&OxR+R znz=4$AFCYAC^iazgm5fOu<-T~KY0>!udeD6i=;#CAa}HnSZ#K(EF2tts-BH}T+2km zVKF|;;6S|OmWd=vOVryx3@OgH$%3YLYjo^1`pXodPNen+5UNR1nIKGqgGgv6Ww+F*Xt^^f#BdqTUHk@MIY%iZ&<)pS&C>b&PNM z)wM_xL#5N}J)C}|UfF)txP;qPvZ=gRZ;Xd-vq|Hx1i6 z$vO63?8~S&X^~2kFC=LTl=X=3zF<6ZmlAk&X=D`S`gzaefpW^*LjJOwTx7lz{^+I8 zF%NY#x`e)JFee>w%o*+K8?V1Y6PZj35c_UXBxXXeSz_0*nrAa_2+91Ud-rzLfZPgcGrd05XA`-4e+M(vf%<>`9j9&?_X<`V9S7aMZEr-z1VQTDQ0 z>GjtSm=|w(p@#b9nI&iSchgIMwl%+?CBeyMaE5rfwYBx=R8YgxY`9Pluq!0kmQ3z6uJET-!}sTkYwq%YOTKo_k&WdRK3THA;Xx^L2Q$>0iA~L)7CrlXHzU6OMBY zrPTE9w~{(vnYt(}66f@JY#&wmH5l#Mzf{HBxcsQ8!M^66T>kkH1Vhg}%J#UfW%0ZY zIN^ZETbN*28tw#i>E8g2&gYz*a?l-y3Nj`iaW8hRrti}r$)YI|$ygKP=VhE`v^lq4 z)|pzE3))2PT{95CDl}psUhd{5Q8Oz46~TO+_SY%}iUhYu>r~M;*Iwpv3$!Z&2T;z%z;XksepakK>(pKF`LLcA~&- zIeE4s=QTHGl=_f`B^=6~{h)66&4n-rv^FjA=)`^X53mb%i|L+h_#V9S17A_Go&xtJVT$45@l>%5Z(@WNsFG`Qy;0mt$ru#;}3NDJuQs)fo-@Cf8FUw z552-e(bJap{fEc=-yUZI2!j#!9)uPN2%iu+b30TL)dwj`7r&YFO{afP?X$^|y~_t` ziQcx$FZ$g<7IQC7m(WKkf-6rs9dOm;$ki|nj+t)Wz)Iredfruk#IVSOHb5pViz6?0 z58KbNF`_ZLo88^x%uG^Q`-v94>Z|16jX8Xx$%$oTYb|!3>aI6R6nmC7CK(>sq za_e)%^Es^E6%i3_m_6OBivV;-4R;bg&N$);lGUEnG)yYfJNPGY3uL*^kxQG~PzG%q5r=fC*RNs!Ny;0=hY%N@5Gk<#$|@-heU|_p(U`nHPc>QS6102VZX1?I z>d1FEcZ0z4_IU7< z?;AUgeA27}-S6L>PY#dsHx~5wB{1{^p6h%$GQxN-I^`J5k?0#9iT*d#ERL20Ocvk~ z$~AB7I-y!urp9D>5ie@T$ls#K!2D8qX2J{GCVh*DQhG{*bn0Xy2S z@g2bp_udl6^fP^1CCz-$Qnb6mF*YPoe|BW6Y7!tRx@kCbC)|Yavl=rAH_iO(u*~Mo zKbg!X-sQ$RVnwXV-~=qHrj}lNqCXzsBFDu7N=pH!X_p*ipZs|kN}czmu;GP)*gn`bd^;(9QQkS$cll~YO-53EM78=^;7%yL4ep$d!zo+c3JW06seiCOhU7p2-Roinem2pSJmiH!Wxu)8cIs$Q^i1U|cY9!U25)ep_+6yp@0btq!S>B)C=olotmgK+&gy=UeEWCy4pczdj zK8{9gXJ~`@V|{oyuX*;fCYN-7d}m7jvGU-UU>6&6_(%;sZqzlSz<9>bQvT{`!oCcx z(1)_Mw~|_~>CZ+vB)JcY^QQL3mgi-|`=tS*fBxS|*_skA{Yp(-80MoxlTlg{Ugc<7 zHntBySkphH?zb(|-*C_5<|2*(&Hfzv%Y{_kx9x`YAy-=> zm7e6OX7&k)DV#pUK^u5`Qk9FdlAaDWAu*Qdpbx|wDv%CBhNr8rusQ2SMB$6`aShkRN!x}6Rs_> zD6hLz7X0t0(w7G~{BUpkxYE`ezz#*|sfd`1h0t2t+H6+`>8t$iG|yj^u#ZN9zGk2@NGFr@S6mHM@8%o%$7pCYbCRV3+!5~-$e6`Ew6b>ma|wF{*t-NVW$7Ia zw;r+ghG#!{?#g0h`{M6QRo>^erBrIYcP_hpT8g%^KTr0a74cpz0ux5)`IWDGZTNUK4S-314LUBzyf-<&IHTq~FuTc>ihc6Wcu*_gDOiHl|HPB*F_OhyjOhaI&hE=T9}Us<``6?}ko=&K}ShPwkJ?ac)V!i}CO`p?2JuD&(iZvlK~diAAGp-?bDS$xQp6 z5}lq`NH3M``I`&bQ_A{6mGo~9%8iNFfg|QYCw8%;&sg7ZM+Pk!aj;;ck5VerU$-{
S<20M_Koe2^tUfvt)dSzZZ>pFnRxPKYeRhFx}WsMvLn0+jP5wxrlp=%jASXV&4-y z;st069@6irY4V@Df%6$<_{lWBBJ_Q`1w!OTTV!NWQ4(edMw6HrmWq zuS(r|c?aJ)1?Tq`=-kW#a|yb^JTGJrC<<&7|CnY~vmbjrcTFRi+kFvYe|ad>rAr0x zn&COCjVSHXy3bw?Jf4FhFyAMQr$Ht0Hd_BV;HnCmPBK@5&MBNy9bM6kE5Fh)9w`px z>4Q*^qXr+fP|R51#ZKmp#!{bK3z>z1*ALij(sPq6Oo&&Ay%tX_aDMw3EKJ-~UnItP zjQTeFQ!qMY%y_&0#bw6qjbJ@{Ypjd5dtVK5*z%I!W1w^wr|l*uXkKsGZ$_5Io)hC) z-~Yn@$oD-|dACDqu+ZWL8KFbLDaU5&zW9ia4&jC4gsvSpu^ZUfg}XF~S!T->W=u3ue!lBkbaSZ_@IpR@|zaKxmn3KTE z7~%Q-*Fmqu8L4}gQXq!HQXS?Uyl~1cVnLQGY#!c5R7w&*2u2s5jI2v6mJ@ng;icx3 z{>(NiL_QKL!!4t5D`B5wje)#U#@cqwPb3tdt-ii?RFpV#{k#0+ zMl*6<@GJ<)8$wwQSfa?dxQ^}FADvxYwX5?@z~_zlWW>^eZ5I@G4FQ(|z1Qrv5@x^6 zE14t&AA_>*3bK6uT~}GoXsT?Ai7SPX66rjradTI$ylcdTzy3X`w583pe(Gs#6XIe! zK5EbG){W4wg6-bt&W;al(x;;)$j$kj_nX9Up6U^qw2zbzOa!B2(9C^|tJ=>wQAjBU zUku2M6bSJmRGB{BBPMoI#0jmMb`3!UW3}`3Lw!>!J2OkWZUATjI4} z`Rxy>@WuI-*Ss}f@mMJXBO{HdXj4}N{{FM_V#Q_U)%v?BMLhFnJhm()QByf~`#6q_ zA4T>2Q&}Hkh8=x#9$vRS*pOQx3oJ{Icz7qJU3cNY&+U4}L}xx-n%SB;no1VWAI4la z5&g2%y(=x=x#;G?Z%|L=`EUEE1UPM<{X3i>?QuMfE+9@7@gVi`x+JwIsIN~#=K9`t zd`P`=4;y4x{g^erDw&Z%DM(343IEO=+o4k(kNqKr@|uiH;kT}-+vGPgpD{Ri=BQ9= zwWM|JXQ}WEsw+O^&&BB040-E_L;1bG@IUt+$;}P=8BuxB_*xl5=SaJQH#H^%Xk>UP zIo0*(jNS(iekuenGuxq~suMBQnK<`v9o!=fWHS7T$=Uw0;@Y1S%Kocrvb@e; z@C8i910Glz&AUk*Jj!^A9i=pSeDKR9*>}pXywhDZu1z8{^3gE<&qWIUIC<}?&W`i2 z{~4k2PCNSov9S-Jrxjnn?gF_sO)Uk$kQIl8j{F@rD?vaqFh=@r$aSCIf+)n_+uNH# z^ywgPqgD=EHAJ*E!C}scp-H{;dNX5~qhSd`5q%g*sum~QWGzluA^lu&^%#Z%jTj20KxI)JOG|H4JazCSEjOg65!t!b)m! zk1U6Tj<^g3wCC30^OM&1Km877416=FL74S+U84nWx|iTWB%MZGwI)eiKc7`OvrSe) z;u?r%Aq<32YebmA_aeN`e4!#*(e*QLl_Rmo9=M^qbpO2Y^#yV(w;ogjsFni^DFliq zAhI1n+Ek3cAD-P`H~*m7oM(4Et3^VvuYyz)st5IuUtrE%dA;3ZY2=&D{<9aK@*Axm zyPh!msA6e^;djEj(G$lP(qDVOoBsKAGbUk!k1LFFc1pdj-A4gI0=)JgGS@U0Q-QVY ze49~GF<6A2;<9uPA%Ye;+ZIFkRH0{Y791Q5V@RZEz@W$m%mnpoJMi$AfbFyC7}$nk z7LbO9#ut=<>F?8#3hB>1kW^)9x2|<2Bx1!dAr1y(O0)Z7`XxHkk<}XKLHGfwxJ`}k z*V&7|VOAM%PUX{nUE>mnjhRJzUB!2mZzRE#j=XbEO+kIaP-#-j{p$~xjKR3#@o%#B zFM8tGePN(Wzr4oi>aoY+R68OQpL+3^w$^^-DKzx~`EQHEAp#XBRPXuU@2-baPV}s- zMsqFixvZuq_xE6ov-)8Ke(jCW2lUk#Xrga7(yYu-28)=SW~&{h2NS#eYWyGgT)c$P z2C!Pvky0-geo-Jt_T+KjmB4aUy$v6kE(=@=F=fRIbx)yF3?o_XBe&xZb|OB_9ArDP z9yJXPiVXupd88%Gl^&;#!zDU>&=*)9%p+)QR6gyuGF0B4xj3jgJE&@ESoHujoNV-E zPFB{C^XXHryG3;`bEaa5`E}U`nC8&PgA5=d5#p=}o9?${a!FasmkmrqcdzPu{J+Da zN8&gnvZ2QO2_tW@v1eKnkazBZZS&valH?nFi?8sjn}$cl}$ zsb@=+RmFHK8IAya-2?sy23$TUfA_b}={BAIyjb$>?I5(GJNgS^TaT8f9%C#gC#CT_HR22rb{9?#M>?w|_rAvFPk)Uq^t+$XFdiCiAN_F^BC+nfqH^?_j-4cE z`#tskV}gJ2PS}uOJU;h`P$YXBeq(yn-ocj7gj%`ir`Qc#nf*$%>6Hy8#=e&9YXc&D zKHQzXpMtSm+yCen@1&k!${}x=a$|!h?BZds&ndO6y)#bi#Vb~ z%XqfY<^*%#S%Vs(=5?F++>{5iP1#-vUaUTC6$zStV*6dL?}M5@Ch5@#Pp4g0fJW@1E?l#YH0^Tf3*-}kV) zVZ(Tq$o}Y8jeW;GDGp=8!k0bYHgf|Va&TFU%7*xLoplG<8mE(Q@fk7jsMMC+Wbv#1 zSlR7cEOGYk3J*qUzDNpp46%HL6+7cuQtXcbImauXjZ?R=rwDQeCJi%5$b6^+t6wSg zekCB@4|niyUWiav=KnCN@H@gb(YGb{ac%3>wImtQ+G6Cw0pFxQUP&?v!wRm_V~Z+B z*;B3%hdAIKaAL)j{a#NS)lGZP|1pF(L|O^GFY( zTiOZ4M!yCBSa8^S^%*yOx-rYMGew!HrOxko_d9jxTf!))`-M-JB}L8sN|75itNi2d zgCX@AW7~R0?WcCwDO5bRL>L&lEZ}{pi+?Q0DhyJfkr(p?d}mBuP^?MnX6)x3fgJQW zV>e$mZ8iMMDMz}-gC`!$$FxC@(1ncvb;u=)OTr_3JPy(Crn^@ z?`ZvJGH2A!snYPOsI3R6x9J#chewaPbuRvEJ@Lzh$-R38NjTSgPK41I*M6wazqe9f z=}7O;{WgOiUX=R~V}dJ7IZlQFKZUkpP3c65Xc+s}So2uDf@5m$0I!ld^_pDagBjxo zKkxn=K9@y{8xG3x(kXt;9bad^(u_!av+1Her=JEte#Q{1bXg;Mz9MIdLnoe@ZGtUV z9Xs-S$tHjtJEq)R^oIJiEWhJ5wR2t<%8)Bb?cVS9gwbV-$FKJh{(kqs?18BDZL?o2 z9ppc{8c@p_M$9=-)*o%Z`Z#VxH=G{hd@k|BFQ&&$GW*h%#gjji1!H00s?`11mP=M2 zhLHezv=E#M4AsN7n$)DJ-z*iYGi`4-@kCC%x~a0&4OP=;xLD!E4~E`+4~lHQr3JPB z?v0|v)!1i2uN{qY0=FIcs*UNs|MB=pDBvWUmE+!_V#P@M!F5zUQf>9c`RCWFmWZbL zyKA@5*hsJob(*v>@ovehUinXYH^it&Kq}pZ_(KcaxN~mA%MgW4trp_O-X}lWe)rPV zQ4O3_ebY6r=jQf9?X5VoidFS2G3qczexHf-$6H%LAlU4P;z=<=FhyHN@nYS&oq#;knI;#(w$ zffjym&-zR6p%94696J9KPcFk`%YH_T)^(1D&NFrMWK3bHtYTNtS)_m$P4Tp~^G2J2 zsZiQcR;>0%^wy_??24ylp@oG};|%TuxYx`M)_!qE*F+2*OVM$VlnOj8Bd%KTnPxwV zD{#227KB-(TGf8Ne2k7~wCrRu>~wk$lTJp6KMD!VsfpRODQ3Op(|Xf{?O)PnexFRA`d7*pl;lI)VO~u4K_b z+}gDs-==wS*Z%@JZml}vTa7!p>(ODlZ&&VPB;k;Wh9v1~7Qc4W2aQ)q{Z2 zrskU@a9R50KBTC<3??ezwQDwS?(-r}jBx#=p{ea8v1h(WK7M)6Ex}p;6(+-OEoZ(M z=YPJR+oFvhU`w{O;2LZm<1Cz{po_7CR~$5%e`GeI*?4Hkr5OtYwmZAJx%%G6qybIgTom20s9VfX^S zxFoCMy|eG$i!tXaAy*mJtDKwDqN-uI6RW*0i~4uikBqI|l4td+qIb2b+)MLcsNY8Ls4~@`MV#! zs_FE(yes8NoW-akjO{{2j3oB#oC zSYLCsH4UB^MM7^l|T#c6CxD$UcO8mIMmvD!{QLe^fCeTLQ^+DQd=-u{S1Q2tPL z&029?M@Pqf=rz=B)~+Q)3~=GpO>GvNKMhK~6?DIoHpYU101kq#@=v4I_e1Jxhj*3M zr*5e!)da}uy`*YBYq&R*=d#h5jlZu1+3ZU63F}u^4P&As3P#0wXLswhagY9W8h81R zxSoy9gb&|wa5i`)fu)F5)@HG61>5qGkDNuq+E!W_qfFE&aBXF>NQ!dQ%Bo__Ea+O( zr>M%>O`j-|64p$)#b7|&Z(m*cc=F)~I=sem=U%8X^rJ&Bei zUfsiF&g>CAdxnZmIrXQ^Pxv^YR)IILSsZZJ!)}g$s|xH>R5C1RAQoy!W?d&nx4sMP z``0+~oG9d;KzMZT_u}nBT&$WUj{3rtO2LaBJ)`5uhf!o)?<~IaJ*SDEq$MioRC6mC z`!)oqRBJv&RD^`n5F6TfpP?NeN+B2%A##$d&2-5ko~gTQXzt94_8cSpl_8_ie0t$) zx0;Vyc3On*U)Y{$CN2p>>XY|yZ`z#>ur``Zspu1C zP_B*WV^TW`N@(MrxhtwGlW9Rg!9B8p0L|6Z0{a%;cQgNGdjlh;wR4E9v$Kt*E=V%?&4vj5mr2UM3?mBhQc?+>%_A9G9mKF zjg+q0W8QPgvh;XASDJ1 zfgdE%|8>^|y>W;E@a|N(USM)1mT1m5<8QAweIuCDH-}5_WT5xI%OKHr=>84by{dCBnjeCx zneE}9lz;6H8*z>?s=1poA35JvBYEOa9p~oObwkoYx$XuZ;F$rJejOXTepOCQjRZ1p zYsBi#k~*I&7^|W&T)``KyyWk)2-lci@7KC~G-fKH_$p>35jr@QE{RW_^E+BP?O6*R zn~>U|o2i$x?!{E8dpZ+#Gxb{j37vfM52o+LTtba{lJCL5gVdFOQu|dub2@M)Z^DU) zG`nITZLn9iIoW?egn1FOP)cV;c66%C9GWSYINZXuW22)>Efh8u%l>3zOx^bCmBTOp z?K1%+xFJi{Qs#n~Uy`PghxO*oiOw66IL}Z31x(`3X8mE_%UQdewqK?BtHl2BO5?7L zwnEbfyTHLg{0!0nhf_ksz`6RYq$o~$O}cvjbW#aoHFuNjHsMvt4K^+MZ5BCJYJG_mNWiMb`H#KfN2=0%J zK$OTEyNM}gi(kH+cA`r?spcBmWxa~bCSgRC`b##;0OaoOK4R4O6%@FnsIF>byjvpc z8R4FJyXhtY%^cR0>unBd()1R}ChFQ|$-E~t!h5%FJ};QzcF>#okLPt#Sp0wsjZ5xU zku0s%&(AhAepvVV&#Rp2B?7YE;b8I3=30&@UGR&rI;I#1*w%4+Ja%W!zT0ePBJw@- zz)|JS0q#*G4pw>o`J{oH$hT}0zt|(TLJPbEEY}egnFw0sF-Yr9ZeUmN_np0y>3;UI zWctn5cBivXTG3{s;zwaQib}c`ZFie9A37x6d|WF>-R-zlG;F8jiK!EnjG4w)g*RZZ zzoqdXa-sLx>^!dcXv7%5k6ioW$wZ~-MMO^?qNPjdon?59jLXpZwTD2Uo!mtMCAK}3 zXnO8?TgY=-t4lJIM+8JzekT!GW-`_k5B4;Zu`$>yEqix@)r!=^W0B^S)G2 zsVynvK9(4x3#iqfm8B--%p`u6{vIvrcxygU3{`UJoOLwUGJ@tuD89Yy?O2)oYaW5W z;^_l1Q+2<(@~F9Xd&+>zh{xGDh1bJA;|FQY9SfWKI~-klPl7bKznsoH)3@F$2wS8l zD>)r~r%Us9fVwu%O`+d%`JG4nN;;HL$JA_4`{p!(O z`=twQ8;1`sulEt(9fcu$St$l!Y|s?q_|=Cr$7Z*mBhE%N7Kj~17)_wHDs&VP?OFOyz7 zXLx@6U%SgYy-vBewpQ^M8@R}FVVD?NNuE}rr;XN!ouhV3POAM+Q5g90cbiMB*5r+j z{fx0Um(K+OyulKuyI<_D>haTO!OQO3x__)fMTDE5u8ti=&R-eiQet6i7i4HJkD|)# z+apvbbsR75>&%l!5SZS30Vj+@g4}gEqZ^@b(}=D~% ziVPrnsZ4i^(E0t-FlRKa%(GpzV6tj8aD<+X)L0>X=a&WEO4KjTe>TALWvd+GN{*kw z4>gEtEJagJ?$t42Vn1ik9Uw4H$ku;OEfo8Gq33?N-G}YYk73XW>J^Nd3$aT?3t}+o zPPSOQ`Xl+@{@XMA9qfsVQcLhPLe*JbI-}gsDwuXq>5UEcosY!z*~{8l(fQ^Sf1V5q zqmhdqJ)}2eqigjJZ)(;3K!EM^5jk8e%?ozW$ai}GoNpa)8V?&4D)yS>Q9Rvjo-iNe zOu?rtacJfnk78U;X#2u!)xYO8ynB(|g#IhPB{1-0e}q3B75VQfx~VgFOzl2c4Ia7f zi3aVzmMQL+4#M%|UgvdfCurU?A;rK*GW(j$v!0#C7TXhmjW&)I`fX$`%Sa&N0rG&7 zVp}6T1EkUFF&a@a15@w-D<3eZ85&)eC*Ew>aDw`V-_Vn-(aWWbSfBfeZ%#^${)R6_ zu1d@=B|A-1v#{V63_XXs{1^Y}E68Hx`MMpafwOdWs$74}Cdm|uDz@|Z}!h(DOPx2aH4L*(-fbTEs zgg?d@IIc&RXVk{TL@syC`nS4uvM>$sr{kwE*Oi76$F4u*5Y6b?xTvvM5LA0%Z#7xJ zKdd2iFsd(;$P)%FoV`A;3j!)CDqsWkEfBdthVp16L;uvEQZk_}i8LN8r)qZ&n=a4u zBS0JMfA#Ug{1t*xL|$@bj=?OgqRLVhirU|uQ~T(a9$Z$w{S3i4ejsJ19-a>g%4|aEW5h9$7<|o#R9NxrVQCgNI2eJ*Z68)vucM(BQEZsf$mq+ z(mZtHltJ`IOBB?iH{CFv4%)$@J}rV-Fqmz(*g-1gr#-lZ4}ES^#TX-JYVNe)iVg2|Nl_-6oHEj~$t(Ym4Kou^!; z&u>>7@B|mAiYgmlwT#CR)lgErKKlrM)xS85tb9xcKx67no(*d}fj_=OXBkA2wvR1? zHQp!%nW96aWC8V!P^~B`DYZb24b2%CSl)+*E)1#aT>As;Y;XU3^Z7SdKq;JX?G{lf zAhM_3wuFUe0`T`g#a{C)yB++clRocH71dT6+dyv>5zVE0F4p(yN81*w?n(H~=L>?l zx2DK=p(R6w>Ptn*d7Tgd^9#~BMnJ-tIH>{-H+^SwZplFErGIgDe6|zewEziGn#0;K zlU8jM6b)AQiTrYBu4LY43)cOUek1a1vB2ZZ&|K=>JiuCHfV+iyR;PA$$oxUf~VDRJh94}Y6{M#>A{{I==f7)D-5A;%895DJE%242j{ zBL^b9h(P>5yl}n?ks`ck&Ro_`uP)ZgSC30gEwQ_U{GZZDR@1~#p77){Detvw*U-eJ zq}Gzek)P&Pe)a0HuI?WPs)6Mg9cw=FBw;rqFE1~yjnx;wW(v>F+=06RI=Y7)SrkI& z=RT+=DHkuC)SQ3cbSxUAvhKnK#l^*y)a`anNvER8e7`@2-gQx<dU@PuoS?EuOHKV`OU=>&iUE}F z+fNd>Ox^)bFj>Ii4HS}G+ier8tE(A30~4}=$ppJ0v&MhQ5{2|8P5Lvg0Rp3?y`2+A zK1`XfjJ>*h_b$SibeoJU1TKLX8gyK1-RDgqmt|Q~a0oeDN;eB8$7f!G}uO>``Mtz1;=A>jDs1AF6dQt90CW%?$vjebAI$rRcN(kU}0T&wjYPnJ4^Y0XhceGDYS~ zVZh@th=^$OljAmIR<|zqXAZ&iWWgklUh`FMV0=oxQ=@8QQ^r9WW_rB4sBF14T$Jd# z(@MN16k-43J!yA$H^%)355!RqHjSz#)Jt{I0h;}HV?uR{&ypJ+r(^_W56DX+#)>dA zi;G_c0LNR93kMAE^DSx1Jvg4AM~;Wku|mGQJYLBN5SB(TCRrC3{#5tf8$b;&HNe#{ zUoFw(d9K#vDGZW%n7VL;nvYk!hZSE<`YCMAL*`gVQ84s+(b3Av3dU2FP%c8K+M-+n z+(2K@BnXBDL=fa~m7eJaH$;^#D=X{h__z%8jX^@V1S}f4cQ|{07hTqU-QS!_tg%D= z{%WBCvcT;+7rVp=1PT23&f(#R;54(K=NaEt<0%X9tzxs*Z(o_HvO>M5P5EZd!wHE$ z*v=Gepw6BigVn*je_P>f7H&O?d z63Va{1_Wa?khKL4jl8Kkr#j2M3d_9I?#@nmI7lf6Dvdefm0-sfOdf#Tc7ce;$#PV# zBOpU%!tQZOZjo5-L&Yo~SZMxzhpnFrbwX*t2IazftWxw?gi{LVTQ;3LUZczG&joU~ zyhm~=g?H}USrrQ5vYh<+3A8&6f4-8JmtO@{N>`~o2N-ZsX*z0U{Tn_@1l0dF6y_}F zXwL_@47f<6dkhBz-xPt(1)lt%x=3@vt_phpUOqx-S2}tEKulh_um_Uw45d_5a2c?X z4E{Tm=2Vc2BeZuMdjn0amYyCp ztZyb1@!%G#XJzsMKJOrr@K`QEG%uhxhJ&1VK-;ZXa8Ku z4aCI}{df3NsNIlYGv7Akf_cww9upo8sDlpfUlP#1{P6MPQ)%hzz_BLq$Swk8zuCMl z+!4Lyv-5Lc%|pA-#)c0@ojfpA3uylouz1+TVgTO*nR-;BRiobi>X56H-7Nr2F}6t^ zpPc*#!R&~8y!-!?AWIx*z7TonrJwQenGlE?*jy_Dwt?;B4Ezq&FpmsDG8qhfP{LQr zbpK@6tTmfaFL}01{G7bvF*?jAJ0CB`f-*Po6yhRP)nN@Qc8?Q#xKa-YN6SC&hm8V; z(S=A-KYe-yXvYgq*&IBJIxt|oSRP&VOeUT~V$0alrt%Oo7p51MDSDVeH3RH! z5QeC8oE}tZG`Ln?8H5}B3n%sQ@$o8zJW8;rU8a@!0LaUSu?=}RGFQNaL9;v;G`;hF z8kU<57se;B>j!l8^b9==$&SK`mbwcugm@;c{{L4H0fj6iKA@ENKZ`?fT0m{p1bEm0 zN(3>}H4usfB8xO9ChAoRlgXe&+ja^k#I>zZWKI`Yo#r(z_G^fZQW3LgB3%#I0PtCt z0Tc;(x*&G$58V*gx^HG;qgDH|4hLf(ztRV`pw8<<%4Raj#Q{l= z+#NYVm46W+LQBWW+SiaS6v|~uN?kD2wLVtf+1XjMV&UiK_h)Nst4(QBRa?8*>1q|Q zxMjK>Zkmsl`dl7fUQoengQ0xoN#Gm=KQ1<6j^iRaa)45!m$0?vKo~N?Gtd7@7Yij} ze+OeQaj=~xw~qlFc!mx27xLw z4+5u*&FcAZ(}oM=pF!ES7-9M&BquLy{_$f74x@sF&b~fX;3`xQ5fRCUxs27Ks_FbM zc*U_Rk`u+@aCYQ(bV!egRBOI`8NN0%blfmSC+Bc5(zA|Qt-q)|nD0|Yc}yDXXpZ-0 z&CKqL*bRAji8?L+qP~_3JOv{b@H~{gU)R_!I;6VME5bI{y1WDlKX z@ux$oRn>&@n>QH=d^Q|T+@F<0Hk$Z$kUveVkv_3N~BB{CgdZKX}wPKp8@8lj3 zU3;-JCmEk_SC7CDGGK4K+BhE|c{ZON8P8!53?nZ|uj`%5kaZLm)}nVXm|p^i`wF5} z)7D@@Q+T?j@R%6*_|&wjt)I{R!6FETgl?w);Uo{9|-Kf?#@&M}UQRbXBcB`qW$+wzmTrF#-R0KQw_r;Sai$l)$ z3eJ~2REpb63L)oL@KyS{L=++|LVWzR3$VNb$c76b#Cv6ukPTjazUwcv!t!AXq!RR+ zE1kBqxjoOE7s2qyu|~S>Gc9I1{BIFQWt$-OP&2Dvu;*4MpR&4Mk~r2km0lrlzv?ri$uZ!@^<={E;4|fUHayg`f)9A_UvmtGfpRQoxi=g;V~1~Vi=l)$AaJ31aXRM|jCPDn*n0yE(R{5Ll^DCkww z*&=JnF*)*>gy1o`{=YsZHHi7)bk47+_#1GVQ}(efFRD9Nd2#uaVSfT{gjjd>f-g352ol1+?EWEs`$45s> zoz_J%BNL7e=2NxG=%zb!ts@?q4qjFx-HKD^4xFbo0wrE6?4mOfqE49`N=7=G7q59w zek!BRnYHWHVC#PEI`0!XE#x4>5{()CVs;N33ey)+&9@IUx?BrC`H_#{AzIlSJigLDTkQw6Fh92E%Kzm19 zZ^75P2Jv%lw*zxb9MYEZJ`s(@1O4`J2x^{OUYu)H#mhW$-Cu15P)_maOAvZN287`_ z$EFfV()$s>ZZjtiNO*qNzjScS0eNRdmmL&mR>mvWly39KpeWx zfh8K5|M8x0k5GhnDA8`vJjBApgvfS+Y^kRIYk?TOa#6eT;h|%L(9o0)Z(XX@-xF?| zhK=eyPR*%9Ua(XU>(p7ifXWh*o*^@5wsv+d2V+JnGfkp!V@1PmO!V~MO)FK_%0>tX z2!6nc_!G`26Hsc01klTp&nK<;V5^6mCckcjtme#ay|~X>i=4H-p#dEg$7JL1yV|4$ zi6{f`sCt3)P-nw;V+cZ(;bN_Bup2nUaJ)_@W}G4C7^`()gwP4i9R^gzB_&l{Qd-~S z?Hs(WFt(Xu5>4e-m>S`Ymr>pXbU@$_o2ilfVvQ-swc(=J z1Z&jRx@2li;xV~zxy|0Fenfx1G9wxibN;HaGeQ`MN7i%JZs6b)aco~o;(RpY_T%K_ zJZ@$6d;&Q#67EBsykrG;=1`@q3JeB^77kyvKF#}6rp^}R^?qg5uD|{m4#=t9gcNDR z7u>cb4F{y%G0gh#RXhOzeD=hiGccUu2?hp+(MAu!jftwJRYxw_Os~re*nVEr{QURI z$9{f%_`-OmQ5dp*SZcV(0tTeGHuBS;Snfxk-os_;EFmeI zhagp%Qgup(oAAz^X7~$2+e^p5P&;=4thRraJgr2XfT)z>^!Sd`x|EY=!0giW42;A; z&XNVzSUdq)k(|4`dvx9(@YP^^llzz8_CF#dNNDyOox@es0+UCGZ=^c>fn3W zJJ^fl+SWY*vW|{Ch~dJ2FlpDv?XQiLThBH#7LN{#d+|I`LU20ZANV~hHbD01KZuo}}_%Jnw3@FpHusF&- zYnX)G9cpR9z)D5~aT1J-+XCm?c%@k&q*ZV~Omd>tPGBLcG#lC7tlP4M`Worwbn(8nm7!OSzNn6E<+(B2;JVPyK z#wH-S+J*^$y5iD}$r^%Bo#H^FlwUs#g-wuNxq&2+f6j2VO}~wr^Ju%SJd9!0!TnSF zCE?R2F>7l!ZEfxP^MeVb*ak4|TBohvT=~pm^|dyL)NL1}A&yqBwx))ks<4_#fg9p5 z{&oL98XA|Al^nAQtEmPrtNn7j%o!~QQMvzhC>5mcAhRNHq$r>6ghg^$US)0gdk3U) z3T-ElGR}|LKk0##89--EDePJbCsM(IKGxN%+u-W|5jv-)%0Xsf)p-1fMk@TOF8Dbv zi}5Ic2SvkCLvZ)5c$MXpCe~qsCEg!kr7!^BjNBTe5^KZQc`Iu=JsMUGtw>7S7J5$% z9?9jt&ZUH_t84TQK6j^m4P=|3=2Wp3UWA+@keAOv9J%DwbV>nUBNJv>0CS%VNx{f| zb;8+n@uJ~jtl$BsriZ9X&Mg#b^7vkH?Ni3)zhHAtSM2DTA zVfa2cxVgJK1cnfP|NgC3_U0OZ^|K+@^DdtqDAM3XW(7TuyLEooyV#9*!0-VL7grRF zu4$Ls=(Cah%bhm9PUJ60%gDTix=__%Q96n}8*vugZ* dp733WDr#vcW&G76M}t4lBwmUaKh=HrKL9x^MG*i1 literal 0 HcmV?d00001 diff --git a/docs/source/conf.py b/docs/source/conf.py index ae91df3e3..1cb0fadff 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -446,6 +446,7 @@ def get_incollection_template(self, e): "examples/quantum_simulation_1d_ising": "_static/quantum_simulation.png", "examples/cdr_qrack": "_static/cdr-qrack.png", "examples/loschmidt_echo_revival_zne": "_static/loschmidt_echo_qiskit.png", + "examples/pt_zne": "_static/pt_zne.png", # default images if no thumbnail is specified "examples/*": "_static/mitiq-logo.png", } From 083d25448e447d01d570b0c50a412190c1c7f404 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Tue, 17 Dec 2024 09:56:51 -0600 Subject: [PATCH 04/25] correct plot typo --- docs/source/_thumbnails/pt_zne.png | Bin 57684 -> 58468 bytes docs/source/examples/pt_zne.md | 4 ++-- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png index 5cfe0bf9474d19a31112bb08a4f9c719b9800666..25bd3870c68aae71bed10d3ae051836ca8768a1c 100644 GIT binary patch literal 58468 zcmZ_01yogQ_b-f!h^R;iN~@HVbR!5VNF&`L-6@-pkPwiRl192)x+J6<>6C7y8@{PBbE2SJ8$d^cSFl9a zuEYOv+r3e?le09iL+IG(qe$x5S(#bdnHj%-Y_D%)Yiw!3`kd=IGyP*DJ3A{|9!5s< z|MiCFmNtfr1G%_-aFN?qZ&hqjQ10s>|6I!y$S_7hneP{UEhz60w=soqkXxMixw9=g zp6>ke$YLxfpje53fvDLp`TEleH%xW+8*ktr`Io48R<%;EL&mP_w@*8VKUb|Hp}nEtM85Kv?b*{x z?0;7k#BL9Crx2~#>)~C(oDaGpnh&Ikj!sO(^4?8h58wManVgdHmBMdj#mLsjrWNh(qo3~AZgi0d=Q%CMBSI*$ z#Lk9WxaFpnvD)up;o>%hN%M!MJm$nDA>~Fk;%#XJcc-giNLw=LGPu6=)XP|}{yHfyHd2=R=ABk~s6 z#}IdSlrpn1k8j_;UDg>UxPVPawi5U_q0|Mpzr z^@4g1E>~^s$JEjZdJ|>lr>*P!Y7qyO zS*zRr?^1-ZiHX(!xYRlwB%6-ppSme6vMatmIvS`|;)$qTs&zhMF&kxqu_`PrrKG11 z(5SX2*pM6Ao*?TJoJrJ#~d2!JVrB?R-g1AC8XLrzwX}1Ne=Ux+pY*%mdJN{|(-u1eTtM`(W z*FLww_1d*-HaUuUdW?*WC-I2suL4)+wqvcWB4y>}-`q}DsmEq!v@Tatf)|4MPv6?x z*o4M%T0YMiGVxq4Dl3ar`(gA%;B+Nr*W>1$1$f$a_w!*jO9H-c1qB7?U97!rckt;$ zmb+uAVP|NdEx27>jA#qIv=~ee+*n$os)y3C3rlmc$>;w1b}YMTr0dMid~2toqT=ok z|d7;YG)Yp;v zDwk*5^^4Wpb!un}1@)JzmpiRwizy<(iVihUTcv}1eM7FDw34~~p0P`ph<>W3tlTD- zAr*9f@w2mFGRY+ihiKWj04! zQ}^Z)xvZ0kv9P{hl?$hQJv-WFqA2%&% zC*iT{o4M+HbsyFn6xQ|LPc=1sDv|n?YULKY(2W;*1+LUD*K!ILp1k_p=3b-SaQ(ve z9CpmVJFWU)dNI#wK2FiOd(gW#oTt`V+Y@tMcl^hPOz-7%xn*L*VMPTOL5RS~0`5gw zc8##gbGM!q&DOwegnohJ-comQL`1}7juPWZNiTmGa>H;_P`oZHE)IpM%9$ykohj$6 zo|-Alu2;b8cUhj!%wCod6Z^8UzD{>`a?)O6*c%CJ#?-MZiusi5!@%I6K5Rb6@gK(j zR&8%Quad=3c7&O+an_Z_KvsvN%2(mo$%Tc5wwINRbsbPnU!yJ1$fZ9rbAvgAJ1*Au zcU61&(*17R)x}Yw>qJW+k^alFqN1kH(R=u&hN`u_jr{-0REga_KZNGl~I^ERzxZ{1d4c6y~Wi>apN~uZ2 z-8S3ho*_$E^q?so>Dk+_^d&A%F3$IQEzim?V1Mg-3q9E$Eo#!Pex5X1YWj`7 zbEJ3PFu}1!yB?~L(yI86>|Szs?F3McR-MC6vYDl&)>iAABV7VQLX!}-9+)YpX_qG= zu;}ZY4zdA#(M!kk49)J)(9jfzg@rX7!Vc?%j)gYET5NVacD@iMO?&<|a&gxUS0!>W z>6K4pHI~^(zJ_;VMy%V4>H67IYHAV1EP2>3^=5@GTa%T=6ryO`A_`i%AHs+Ng~`i} z`h`e&>@pk9G-YHS-@19T9UB|_)V%zxE>A+=?Uk-;4y}!?jcynB9@NcFO-)T3Vd2jW zbx@DKZ!9dNy3GIvx?8udr{XL)`{&OS=>)zpZRZbRvBGMR9o^kGe>OBEiJcXwm1DX? z$0RUwJ6Zg8t>d8Ec%qB}df32KwMZ~23bFyZxn0>zAPdPBccSwa_r=wEhZrEW*Kgje zmP1Kixe}nG^N))oK84ZO2{TYuegw_3wwrF~P;IOlQBb#fZg2~e_%Q=RAacaNm+{*y zyj3l?(9jV`%SdqQn4N(po%5G{<{2&Rm(Wlg&5t{89(-9R8_JT)m;*e$dnw~~zHmmnGQRK&? zPXU>ImyG2AA~61VNzfDR+KTRQd@KC0rePjd;V;_S^lbk7KcSvF?6y-!zi{R_nzX$S zi2mbVHzywHksoye(~9)L{-Crj?4V#I3fkB(BXwGN;<>Cq8?nFA|LUq{b#>KjrY;_U z3DL*imnXdj`WEN0PypaL1z{ke=}=HpXNa{{yfb&vLc*Gl$5yUa7YNVYWoVhgy$LVw zP2ZQRZ;2)0w(;6q?qzj7cgR<-OulknTwX?kwKB_@{44sIt+Qd}mPO7D9-c*gWnI3^vyP!)wKB8Y+A`Zn z=HLkBirZ$vSMWt?GGp=g@889=WbcQ*Us?(FT6v$2I^lM6HHG@`ojRgH{iE9BS& zn@?4-LziS5H30k?8ynle@$lidiNl%94aeNvTy#v#=SK-MS@6uT`#h_woxP9Nc^F!o zn^EMAF^ROaW^CN}2`VgfgT4#@U&}!$Sv0$JLn}xWOAMVVSY3b-i}Cf5vwe z{4gDPZqOa`Yip{S=Gil*3Pz{{SMdr8r3Wt8#(O*9*+*-gIRP(HQBi&Nymg<&?ee4N zg~SD+W%`-3WE@w~fQyZdjg_@^<>padQNTrB_S%jGq9-*YBMiuDD5W?piO$FQlcM*( zF!;|lSbO5QUqOFybyjf8u*i5v%?acoj?20+vsK|>O(aX6u=JvZE--t%NcWa*OF)v_ z)g`^^4|Hf#^b8CtWo9bgBx;s5s+AG9NFCf=FHU!0HcN~LsraE|@?Re7D(0)V|NYYx z7*tX`qCR58MmRY&bpmysuBN`2?1vij(zba=ukafR(d@s2K^2^M6#n@^(Ex zwuViVWFo+5M4i3AzfX^-&k`u&R&{EEHG3%2dF#MvHVE0nAt<5HO6p04dfONw?)wBrRS}RJ*o^Qf^Gw zPJH*0{|cNJ9%s2XF$2oU>1I||77!;~EG+GTQFtA;_;0Pv>v6mY%$EYii?A^p$H!v= zi8z5N?w>KJm2Cti&UAMAL+$*G{PW`nTb12vBarEzFzyEh2ODE0i}@5#2~3NR=3163 zcWBd7Q@ut-ByootDaCOJ9 z&#&~Szz>fjwbrWkxTvUFW;;rfk8+;E-f%xZ|48b*!8~4OF1|fo8_kP&j+k-boT~aj zSH69+w@kog_5E_j(a}-8?qf7;|CPjtKc}WHA`_jb9Br!o%R1g`l^EQEuAi$}JN})r zC|Ood!Ho|(=k=dGJwZT0ps~9#Sx)o0o^5hM^YJM!FLx!=)tv9P%gf@Fj#KLAMjiKG z$^IxkwRTp<5>b1VehHg}JB3IzO)D@-tzo?{(23n!cw!lCwsb@j zIAai$f{>UP)ve2@s7FY32Ib;gS9f=86;x<&djPjPSBc{{>cLPaIo^$Oq? zaJ`>^s^7kQ_qD+_-9$et8%9t@QPF@YKmp!7q@)!wQLa*A5XWu%843Q%0AWWG#i$M) z{jrxgIO*={qDPob4Ha(f9sRsig{qjV+yMIvG%!8j`*@hG8pV2kf`jMqV@bF*{%HU@(6rm&WA7dg_FqU&O-`M*dw~LPD_;gYIK!tnHnhbO_?9nH<335m_6SMr$+K z*$J#-X`z4{zX9^jXO5|nR7s10Z{ev+unwoN$jsAq*wc4L@Ykj1^ zaC5x0D~?-E3;z+f4F%8!-O)mw05X9D*sLI>y@glkHU{6}DHUk`8X5TpTsRo|5?~l< zdHDxG@s@#I-1vdp?sC4<%6B-b>*eje1C-}$OiTxmI6+Vx7;E=KMW=6Ya&j7UMKu6< z?JU%3dcJ8B2e4x1l5#^Rkmq-F$1$R!0Y@MVp!~_Me(JAIKwXYX^ z0cJi3LS?#iqLjKiF+e>1#f}I(`!8{Pjx5MWUg=BX0}7v-mR97j^B$^t#;`7oE{L;4;b7VuGDHNuj^a$4PjKdD3hz!5aX#^g8tQS7Gp8dY}JelW;_ zWILNzK26Ix@=jFrHf+u%*hYPBEkM~jqnLG3%fs1|V2i zT#Q6jd?yQG3yX_IcB`_`4J$vM6bp7GB_(~lI2b`n3~ZLu#0bO@#u@6+@R4_qFE%+y zakHTD^PXC4x@L=4cAR3b_2euC7Xr12fES9uq+>eoCtn`^)8?_^=GAcv>W32kGS> zYl9Iw0l6&H|I3&CvxvyZ4yaoB#19@&sHv)UAcYSQ?(QCb)!&r)3)M2xne_W)Nd4&O zsEsX?L>$+)?sQw56d^`!<-4P@>ydF83 ze%l#`M2k!fV1?&E^*cy-?ZZikiS>ASc`IR4;`K1^05ffm=S4&!e=}7S_XOH;B%?-^ zUSaT7>11y5Bf1h$1}Xs%6sM)7Z2%tvk!cXkR(H~&Cj0J9Mj($@NA*|j78Vvj!xrb1 zp{x-T64D|iCm?k;KA0p6pifFd$>JEbJXjmDfsUpRs_j^R|GTZ}+Uj$+t0TA5GvF2r zFnbZsm$5#Y>z}_O#U-?}RemB)%;kI|sTew?{5DwbnHwuB&v?1H+mV0&c>MQ|O>hJV zQ>z(?AmV9{b##br{mu%jv7T?i2sZ9Ilj&b)U0g=MF5A^WOi?1mCFDdvzdJ`NBQQa% zT#BNieo#KhI-wSY!6T8{(yL~P*MoUc?_VQB>e)xGc3_z?)KQPUvH3-A(`v3 z&PhiE-C}|>kg8qKWA&-2smI30RV{{dqxnD>KKc3S2HIIXm$gtGlstVyL&JYR9m-ay z;+PN1f2-&)fcFY3_f07Z9t!Fw6(wgdl0C|E|og1K(KeAa_NJHOVD>eI^U@0 zp-O)3_8nl=&;XT}#?O`UveryKh7i#i95hpS- zvN$6ngAdT9BeaB57dFB`KEOf9i@+z@!00c6+F9PXot&NUjWaC&g>vRABtC?SYFu?! z(a3IYZVnv-<2@|q#oiV{4v&nSerH3@^WY8)$Iw$%GgLX&Aw#kM-T2Gi z&}$JTojK;BW|fNJeISTM=<60tIk-RRaS%l0* zuh0dyiSWVEXuX?&G~bR_Ruito>wric3*!~7SDoga^c{MW_4E5z{QNr(=AS9hg>L-a zF6uPni_X3(S0yj`^BUudRNO$`7ZJ!`4xR}#duF5o1T1)n=QE6|UkZ+d=#NSC@_n89 z`|rf??zhT`iSch7=`e`E#Wct}S#DD5E7VaMEV1rw&reQDJ-x=NL`u!fTHn!{-9zE= z=g%JpCnsP%5pHhK*R+7uVn&F)0jQGbav0rk!5NtbG6UEQ4Kp)j5n|ru<(wd$@S%Vt znhv7kV$e*M9QCx*Izx)?!)#&Xjj+)=JZO+=Kx1I%sSh~!E|Z*yc|t3QwHDea%Wgh1 z?aRfL+^P`UnC=AyjNts~LoqmAFo6FBtcNs?N*If=aoYo})SlBmq@d8t z=e*)kBcX(Uah;F>} zazjn9PcR6Q!1Ahk8A@T6N1tt1BB!$3U;AV>0i8GsT1P7xx#G?OuJExabi zAC%vA|8#kS0GsW)`-*sfCcBC4XG(OT7mFqZbDq__R<_lFce^SxZsZ?ktNJejwtEi@ z6==9xeI8Knjq%b>?RxOt`iu2D#YT9Gi;8prt$hTb_gX}x#QDe~h-@T?qO`D38@LU< zT3G;CP&>1p_rI`LnnXPlzg-S{_TBAwD6dgp_f3`XVk%;)(^NHn-6!{Q@`~XWg0-6R z?uq8PGktXCpm8QUiU@ias+jM^qFy&f#El>{t?14wq&cV>)i{O)i zME(Q-OUu`?yVwaf4cylaaA}ZIgPEBbIy!paHY*rR;2hkLd2Wp(A&uNIc2DO~X-;TH zl}Gy~syQRY#L-Ugp+08eAL#18?IEKj8rpmdf%w@YHi7frFm2(YXwgSv%O7bNs#p&y`vfB!#>VqDL=Xgi^ai z64&~p&-jO}xgnVQzB#pDxR2~+r-rB<4JFQ0X+#*b>S`v-z^VV@fA5=X1&mE4{GodR zWFzkKsx^qD6Z96#6Yvtk;^M$>yEIdk3G`UQw*O~{X z10?raAE5pjZYH!mQ2P++i?tQ7LjOcQvp6(d3O-+%F0V2i;l~5%(CasOyjYs*zlTtq#Da8O4^ZA6V@NMaGDxqLgi*7y7Lbdu)z@bmY9oPwF|uq|z#8)z*E9p0pWfDgZ; zP?cC4@uIfI`C2j?B|19|rGU3wbOy@thlK(=n|0Kmsbyiv=a9JuAGWxH6Oo|#!djMl z%4Wvu%4*h$KpYEoaNc)(lw_1S_0aX{ifl z!zws7xF$Sof=1yS%@!!y%Ck%;pHc4$($FA#?@r~;(%rm%KY#yMp%g)2rFC9RJ1&!e zw3m8y1jeBSuYZv?4_x#v#R8QT)!tn((JZZ3Yl?As@vB>7Bv@%Mmbd*X{o*QYu6w6G z=6g9IJN`SJ=0&aZ^}^@&@!U<-w#;fef{0Bw(+~>L@|s!*4=L~jB_@)6W7JA_ah@M; zIGyunq*Xr^%p^d5%nDApMZ%O-QU16@OckU0yBHkgqZTlTemL3)$_dPIJ!|{^6(zU2 zBL7kfhq|-yM5B!>=fd({T~OyY#&t_5;H?l^(Vn0ysF6*Z2aObZOHpB_1E#u4Bn`+% zmRRBE>qghb=;<) zKs&jgy*saNuD&|g@9mj&%TLUAuD>jJSUcRK&q2MbvTZE4MENcLDZVTTuQ)H-@jY$b zN#S7)b&-j5^X>12t1uSBJb*-KK4Ua*+oBiXz0erv3JGH!P?X=(6C@ zfpXCjMB-mxF94F$A~N^`)qcn|J}}Uz5_{i{G7DC==hAj|U+KQDE2oDx50P#uWmdv8 zUa&ebDI0O$^W?1IOjGu<&w7v`JJqA$;fe9}MTf$lV)@ArKHA&{8AE#d^eHmiBpD-b zzLf+;8YJE~&`zV6bgn~#(+5O?@>*CJ2a;y@1*667iyoxKMNE3f=G2EL$h8c;OikEKvY!hpW zuX@P9cSL2}L`^1JEK=tL{Vn&k-Fu?Zsi?h&OvWVgADE|O@elHX3JaNl_3{2TVF%)< z+ZOT!CLD)^MDp!h^oP&Ywc+8)`Gmm_4RoD``}cHnc69t28Hx52`V%-pO@n)IipHZ~++EWk7WIWQ0k(S$*`8CZQ?(3G7gLggimhO+Ve{QOeW)7Q!YKGhG; zXBNP=MnNcs4)lL;;0tkb?@E>kYo(d<7w;2&}2;k9(3YCmP9- zkPDRsgOw}X3B96Zp=G4u8;9ih_sAhL$;`3am8eNicq1IYH0St1o3gB|BXXBb(o+tx zk2T}ma#Pq}->1J%%@|Ez# z3<-&8dlBWw565)S{&cL5-{Zc4X5U$JV^7)MhTzrp&wt0s6BZke0 z%I~S++7;JEBqu)wvFkPl29CgwQX^Q1`=`yM_N z0eu(P8>-9czHy;nAPqtMWG)nrQqzK?4!6zH5kOk$Ah0yI`rn*fi_J}@$4n(g$w#2q z;R;F#vLP&_qSFJ+{U)}K9X$F*i6sR(7SB6JRYwPUGqfT|$wfo!ETw9nN#0hlIapIj za5+>#+F!_0G@M5S=0*|RJs!qaU_4m~jlBxJ!X-H+^1Y2q zWwkZQ{pHJ-3cFPt=uR0>370T)G?{oRMI|Is!6-t3BK`#_!c!+Wct8mX0m&|k?`4v~ zs<HAMU97yg3kcvSIwv(&$Ju0wa!Er z$6p&p6fuJF(rA*bS$Qh`e0{Y$!f7O;S-c@>!u;OL{(4pzwKUG7M@GMkklqsrYAp~t zcY0mOQ_s8 zqcw)Z?1>T)J0%qG%MDA25Z3wj8c zg##m3n52AdukOFl`(3ou9oq^iPREU+RwIaU_&;Q986J)V5xuVQ;_7T$;B3C=U zHn=xXkooreUX`0~V$-IZR&nU(1O{zI@rK&V$Wy5fqyDk)VADVKzosiL%L6pe?%;R6 z^$&iF+V=OjUZ*W93oT<~(O`i6g?hqdHhO^j7fA7tG?P3Y1Vf1V976v7{kz`q?17h$ z5Adoj46;Gc>)}2#r462I*0fc9Sl`bR!J~QpoQjikWR~isrf7mI#~@UkaSn6;@_0^f zeeVO^VR=EOk_(!%cKVKHl|>0e!5U*ordp6-KnxCHiAlF@iEb+Q_4g9kCKROjbUwwRT0mjGUH#k4uf!IYm0XCK?N)4k0FxvFQrYeM=&iCkjA^^km~{5OBApxm_RQKyXBAqaTeH& zO~CY!KLjyY57gQk;5iZe20)GBohz15^Vtb?U6Rx$S)M*lZW*TOFGV*OpA;5lD8MC0 zKY(r`?3Ns9JQAzw%S^3kq#n<|%?LKgNX-P@C>M{tM7&4NQP& z{Apd_9DGtxFo$LzA&no6L_;|ts6qa-C zq#k_QNJcG-kFy5ab~d($8!D$q+gcXY5Ke)-nF4=ML>D#&N3GSBY5QlyPQ`EZGvFK$n<`CVBfprDp9FZM@%(ek^u7-(mv;&N3vvVvG0gMp!6 z(0yNK$-wgT~7Yi^OHSmJ3F?~!w$Lv`Bg5lG#o(T z^z`(!HQ+aQz(3{)8=JmGfz+ymog) zs+}FfD>a;QnQWT8{$(7m(@bTJt|ipXH<}+rM5nrj2OADwmFYn*OuMO2_e-zU zis|67kL>*-e*0Sfo>y5uTv1LTKp|<#aFL0s@!AmhvheBrzKv;QCQ7&zjtt)x#g z9a61#eF3wZDW8pT);FylNywy)f)pJKY7Ys)L~9rvEKy(YhgG}+U>KZ+ALbL0nVHWh zMBf7xp>nabP_!PmzXM_4Mem22vk(jcJ^+67SgkWBC~6p%wFi;!S_wHVh#|FAb8$G4 znwr`N`~ke+@7sEDAtBm*vU^LhmQO`-EbC6FL`6j_Dl3tp6aM4b8@gJ;DGKt6&1K@_ z?1>UZk-sZxSlj*3el*;Ci)~7!F85N8Bkq_#Wm=9Y%t9-G@G`sowdy z;$F@8rULx~VYewI6&;l)FI-oxMOxcvd*07|_7fJc*gmcuQoZ?tmp2w-y#Cj2pvjL~ z?txwU6jEn^sFCJZO0ZTex>+bFe=Gp@M$5E_gyiEfY+Y>^73+Hs`^`wQo$}5 z>#-{eGco-PoS;D(Lg_`uM?mw3&Da}GBZth(oy=Ta8rq@szBnS@+1Y`!042broc1eR zJwS^iVjEFWR%U|J0dUsfrH;-Mhz`)JR}@aOg$>;Vbo)+O(HA(trbb{+xuTDEqmbK8 z8ZkK!nduf~b5RqcS(yj2rD%nUnconMaSAF4s|ZO*NTjs_=Enx+hgObEWm7d3^uZaP{r0!86@l2nmJ*)1j!Qz~GO>VE z%HYwFSP`(aY})d@+qZRwb5+2d@BnnwS8A%{f(UDCd;9+Vdt}&n1tJANbMs1D&{O0b z;he~PAg2Rlhbpc9T!#P*EJS=~=d&1JX(r~W!i^YW$`2*J?&z01R}W)xIao_tCBpV; zu)IEh|NaB1d%CXz+>gW%|BQyYSYA?Jv^7^{!muo(z=6-PK~g`G*&5f*C#NIc{Y8f^ zVC{~Pu8!{Sz3Y%q2m?Mo&2?2PtqD)NL`Qr*x1%g@%?HK zgf6AaR9sP57y|tM@1$+-YB|(l42Xhe*Ab(@>5*fAGcq|tNRo_9qpYrq!YDm?@Ju!#$=yf5L)q831!E^C+d4bNwK{k~@dalX&C{z2QE*8t)skt?n+Ek5yk>TNdZBxC z@4gi>?5K)nqd{rOtu{mu=Mq=Q+If?&ib${!zQ!W-*c6?hp{HwZoz4(el@&n^oP~$S zj==gAt8YnI+EKwwA<9z4mg@gTNJx12YGk~zN>x8S`xMNH6Ud6FRNFIvwOp}ziFCvv z;W`HynY_QQP+%_J4=C*XmXqFrB+Say1?aT4aCXQB*5*pNqqDQpi388Y+0im^d14+r zU+6Tf(9S`9If26x$eEpTk! zZvT_opgH~lnkG^nRC-wRpJuBE9V2-z1?g#xtcb}rUH2J!D{ex4B;_#XXw7}a0;ufw z+MDi8wjv85x%G61aYq|ze`jS!S4vQS*^2U2xl?&S;cA=@7U%)*s2Qx-oc$=s7uv!j zAR%a2b02u(o}t0O0-&!7Q@+KswzsFEpzs0=rww=r^jwIs8BSJMpF`OzXAm9oQp{8R z8Wr`{#3Z|p-4ufSrMr{RX*i`;ZXk7eF!i~t=TLE}31e*6$^i;QgyBBdM_jT2T3HptIN_6OlJ^XeMWJ!$>Vd;Ml%bjGfEkuMAE#{98=}D z#l0y*DXiT(&uE6i6-^uZkT^~ovN(4iF}aJ7I;Kua977|7gH9M^XAQT=`tmiZF?^&R zK6nt$8wm%90BPAZDD}gRJ%)%t1=!vw=1+&xC5ey-9eJK@edm9OZl&!qk}n~Nt~=p2 zz7Bvk(4~|rE&ydbVPxD6x`AUNoRuC9yy(+7-0=S4YG9r>L)Oi#xHc|9U$wSPG79v2 zqr=U44|4o(+uco#5YHiWPWUQFu44b5V1m({x}4&nNKO^&*VRD3018p|$WatzY~=XZ z;eW!X2scRHL1o3`F9VA~B7rX&B;)XEOAy`ZHL8AVPrwX9Cel-MjsptvBar?$|1oD2 zh~zj;Tyn4rg2QbxM2o~`y--0DgJT+CL^#a(QG?DV?TzHp8j)2+BAiAA z7|*rpx<1{w6_C&@ok^k}!%{|J#OoAWvNR2<`>>el^F@t0v*9s9jZ+Z0iy3aKJsS+~ zpRDBWjx#+JC)IZ7v#R4c$2*ff{Q55HQ%<01pg_iBcY6YVK=R1Q8(?Fw@Q@L$oSkL% zs>K%Y+GmGhKOyxLU^3tXDoQp#n@j?%0}Z)Rbn&&4^!ze26W;&G^7#l0e6JQG(9;Bj zCCkTGj=7Jq=kPs*hgU|5aJ~2LO6eS`hCkK;}t?I#`Ut($YGD4!F?If*~=$r#C z>2`@lYuU0YCSXS*_9;A0R`7F(XE{;C(;R_z{<-{PR{tYD^Y|GozwpW?Y%kR?&5)kU z2b*{EUfsyyc$H5Rh)&wD)mg1VR2@kzl#qG&+5{gTAJAiHLP8KkGBLcLT}MYqrSylu zf9K_yd*f0OricaOv)&((CREWalrhj??z4O>CfW|#F}MJ;+eVYut-(1n|1#qhAmOWq z&VR^XdU@`7acggS>&Um;uQmnSKa}Fn;^G@v@PJ#Wf@F=lz$*ptgW&VrAxRU4^UaGf zlthEg4j-m=0_IckQ{S8Fh+8Jcs9}#P_YC*g?QOIqbUOP61TXAh2FLPJ2xj5|)@BF{ zt%~-HxS`{!^SVW(7&cVgJ{f<4p zKxI$D__@wOWW9#w0S2>Ujtn)yMV2dQQlrKCceLCt*g?BTCgLHo`w-+%zy>}szV9;8 zR3g{)M8yn4t{ziRNU3u-EY@@`VTxdx#N`jAmpB{pZSZyBiwMlPj;f7^sfKj?`O#$H z{|d__w7(s^SW{&{SU`6fVV?HaM}j$LK8AsP{})d9jl2#JVvp8a}I?Z3?Axbh%au;#nX-W+4++TMqlwpkroy_R>!us1KAuQL> z(BNL?7HE;w1ymoI8XXj-mRHk@D;r8Lkk&GzH|rvn{AHnTDuzW^4C3W~?oJ;y{u0~M zx7EYHTaE+6v&FmNqoNYvf^bB;sHg}9&Va-~8i}N@Y=sLTHXB!x)0z_uLgAG*N>D1v zliJ5qUH#}n-Te`%RgU&Kxa&ON=}1AVUU;xvc(!X{>qCxCWe9x+2$=Q$$~zPYQTD)T zNH|xyl=e*%iA2~P-92`C^yA6@m|R!HpgTP~n|gKi_pcQ)HQC^K%Xqqm8_*clJ*iAmjT}j` zME+5g@o4TCHGg#9S>+aHfEx~l2cF28laS)f2=LYutf)VMT}SRA{C96PaV(}H!eijN z8H0H@N$BIK0D$s-exFT4QBhH?095!kr(^ctyH?OiNkgJ><#{9PRvT>xi!Ganwo?_} zPiLp2=CSdynuf{mo~E}xZn^+!qu^m4hk%ZUC`h27+2KH{7DR~l4jcjD50Vo0cbU1F zm7me0@7-ZVaFs8v&x*%VnagyVlu=o*Be*=YWsB)YDnrAAC`1F$hwbU>29a7>J~K}x zx792Pz*<89bsGF0^5?Wm~+-duy;t)U;!P z#@EyoH%oSFEf!Il+j1BIRn$C;|ELQ?FWu*3>A8^w^61>~rjCo64Nf!4t|v`$Ya zK;MsH;edx%jNM9@T9=7)kDj-wZ=chnAH>7n2UsZ$A}tqWbEu`_v_b5G zrS$u?nFn_0ZYbA>#RnLo4Ug-qMyz-2RjYn9&om_BNZ#gszR3i$ZzXb9OjhtiIYk;P zi}FN~GExAGJcF(MAObI%n@}*5 zU&GPReFi0$A-9{jd$Urxx^E(b^RcR>*XN{hk}uv>+@1h!@IHP

W8v8$1~qgdtFN`=jrj8KzKVXS23 zXE(Oq=f148i)!{A%YE*^bQ3|LK z76xAU%4B1*G7N-y&}uRW(M6bq4c?_+u4O-=6|DJTt_&j-e?PIl zGLGTJ(o_pWz)_ccN7V0j-qrN)-IEuKsCO9dGYCHar4qFi_TfroJJ<1BnGJcXLj}_4B=f1q0Kg$9vv{NUN%WsI5`~tY#8`N_XZB9xHdx# zZe+mA@gEBpA+at!6znEU31AvF>omEe8WfOxf#Pt z99AN)$^v#!j;?+m_wx<1Yt)s(6%m>wLyy;;agPuS2% zen$mi9S<=RrwmnHvmq09_y&VHkTg*sa2Uj_+v4kJVbVSnnsff`oD2o~@*Zd9>i>}d z@}WRqd=QC;<3dB|{^!$yA$Uyvl$_4bx1Xdi-2i-Q3vW;`*r#lP%4sy1ehk#T4=O)WOn^+>*N_nS(g`dO zDnBA=#A{AI9?<<8q?0p=*ztfGr9Z}6OC=JQy|?+17&~`UxdzfF(d5{u^Dv-D`32}K zVL*V%_zxPSumNT}tFe`kBdD<(V$(N`40p{}PEYompya33h{tvF0IEW5cZ2myS)iTO%s&gk?VP5~86v|uJnN*Gau*sq}+rB3tS&d#Qe?8{ttH7#@LajBxJ zM*_D5phiRCWbXk5n4jOpeO+7?;8ToWZwd7EN%VjM`$1}0IY;VuzD zneZ5mQ+{9kCgVer1#(9i7TY^|d}gxN(nq^>w?$T`-FxFsTqh3%(omDc0!T5oHa5Bh zuFjj_a2lY}yC}fJlEBQQx-Z4FuQlKXYiQ1VSrQp2A(6_19{>HD5+gVT5V1_Ghu*lxEebB!R;rhLrhTFY7-6nlLQs2@Q#LuTQCmZAe%ICi9{C z^o^f|-#;f#LVPSZK8>XPq#ev**WzeDsPp4y zZKn01JF>|FK_!0s0>#M3ofH2>jZXdgaY{9pMrK}B8I7j55Oo>YfWY7yo%F|lnl!07DITEGy}c(?e^YK7wjk416dFescXeB);O z;e$S8m62Zo#7Q3=*pUNJ*fim@9_QASU?}_Kt=06g82L z8!peD(e(vSKk%x`>ok;v3AIf5Me%2`{<#Cu}f;e1fsfV45h=NRcYv zJ53zpXy|uiKCy!#4Z20A4K6(Yh$hdfE;yxttU?Z5A}D`gFlqL}Btm2dVf3sGu_2** z1(u5f5Ep>fFAYrR+tcNLBQGEsbGTjHzqGRADVF*hhCVrJBQ)()SXK7j3sELXrf%Ln9*<7q1aChj;IA@bTM0_~-<^NCmXR zH*YX4@=ybF2CSp1x9Ep-D`+1PZ~7sC z(#Y2rIjbWqT|Mhdq*r2T4B4eykntLO;iDi$tT(LqL|pk=Bpx`LC?MkN{fj} zYI2IIOU5D!?OX7%7;E-Wq8LrakAFd?0P>{m^YaOe^_PfbgZvo>0RaJ+3VC=i*8IR$ z@sxrhwW(db#u349dRVI33nz=?R&Mz}cz_%Mvq1YL9soK&An{cXDIY~nA)63=6+X0& zA`Lju1vqSU*;R+yhiFAxtQvmz+Wb7`1hd=%d1a;!w;ynBGe;}450=yTj}bw4?YtBY z_0PMT8xU1n+S_daoOOA1Wo4H;`QSET;9cOufO6(8n@JA%2KY%LlJii7f|?GzEEl6CBE%KRKhT^r7aqf4QTl zvCV~;I){?~f)N=~*5H3!kD$^6+M~1-xO5CazSV#`CL$`Dl#83>(LHMuA*G$=xyMLA>? z6k@U~m|&I_%Y4qj9t5uC9+IG^>oBiCghIfn7BLMVmIeekYGoNboToxHepOp-q2bEnnLsDm^SvRAp|kKwO+Q+jKief4i&vF>S=Kl3YPU3em4@N^6H=fiQ<%;W6M5bU`LS zxX54*eh9)=SVBU-ZZPlN20(p5venD=2F$q8Jv|=~Bs};G?GSMR&0Eq#wct>Fj1yYN zMA@wMzr*uTzB>JXJ5_;O$wU;R{pDoPEy77|J`@-|g;R}Ons(4g;w~MNHM0f-;5(wB zN7?T4KNsM!JUBRT+{{c5a6W(}Lr8plAA(T^ff`T?b>Qqfmuy4CzD<3_V*VN8aoU!**BfGm^4JQf*r{A^;PeH-)6$?6<^%7FARRKvKHMf)Adxwf?xzsbIH{Dp9?uQ?i3N+H-FJH_*bSs1!94;xYq^{0hh=C*DM?*uLSjx&ikFzA` zUvhgv-3e_e_~BvR;G7KC?u_Y-2;&EY*Z%1A@e0pkpPA2SWD3}naY!yKbP=e9Kq;5N&tm&_PBHw@#`5uPNM=yshXjK5>pvs+5iOwGyBt}%pP(WXP)oYJ z@e3W<@pS&aWWFr<9|P#SdG^LjxZ7aRsJR%>P(+82^uunCD*KkEWJ#UI|EIT0>w%N} zcs6N75X`-c+8b}-HAEbzax~%RPH8P-P=g{|G}o6-fN)SVN5niquyz-9Hx5{`UgAiw zBSr6YhZ_p2;o66r5B#7=*j_TlN+E@zjR0>t5n}rAgQ`$I#C$~FR;T3WYxP&$&{%-t z3MMdR^9yLV3W|%FMWq8}hMG)k&bY#O znUNX_@hvJ@{6dP4{&02@a>5V@;dg)-J7|?puFBxm+XMFjvq8_3u)E_w*EcV!2psM# zZ_HK0)AV}YOWF)k&!~j^!bc_5z+|m#zb6A42(V?TFGJ{6ubsly(KXCz5qoF-e{-~1i=G*b>Y8QK3dAD$$g#^Bg`JH zOvK(@Y#En26pHM6OWDQ>69y27h!Hn=Qap&Go8m21WX4IGh%R)xgdPzxl$&`;YI>E3 zDDbJ1)c`~XS5EH*61!vzf=MMQ|jxZhc879qYiYWUjV zs!xC%EVIL|x<^C>up9d!)^0MiKzK{zp(8XR2q!vc^m+eOlPaHJVcz=>I9b1yHFC&S zUVy-r;2n1lnh@mQ$3m~j;17ce=Nl-fh=f(Lyk>pT28i+iQGIP>8Tie7;s9Q6gP@ef zfrvC{Q{EeiWfWKtkW7oHa@gb1X$OCWmoa==dM434e@Ey2$5FSGCkbMS#0m72R`asts zl~MGLPiT1N``gCj(YVEr(G?0|!UL`Ge&J~n4CHORho1&u5TY82%l+n|8!0pHm98=9 zB?NgD-o|Ap6IWrr0)AF6pZkRix(XW9HNUlPiH4_qVC-SXK=-_ZZ^M8aMq+bu?|$G^ zTSeg4GIGf9{z^7_(sbGMKPz1FhA{LB10C|&1v7xDeE#AEkm8aP6TdV z$QF7-JxsHhvexm&@tH*y4v5no9c8x3k zU2q3pLdp^G3w)*n;jdZILae69W_*warxfID|K@^Gv%Khkg9zeVhO;T9mCZ)dwhzzE ze5T+2`p=OU=sVcWs9t63>rLwH12&b#?QM*=_V#QDuO5iLt>a210yC2KGHjp;BR{Xq z6orBO@9=OKoR|oG+GHW5Rhj=)e)!fU7_H}Xg)Vr%eUk4)^z$5n~wY)k_Ev;m2o>{8Q zbH&iC;Do_Q27062nOO8m{0ZXvU)5?e8XI-T`^Ttu!JulIAi5%!;JR!j=!!cND-gFUGUOgKCAj2$~!lrRi$p7`9@C))&`6 zcPq$VOe9p1WoUIue7On``%g>#+3BD7SZiK3OJ!z$zEp-w0E0LpH`%nKudfe`$z{o9 zqXD*73lvCU)@b&oKl^XSJSbJzr^Gn|{^w{jifZGn9}ZLV#Dk&mUDnm84CD?*nepmz zD*4&83JG{6pXEI}Ht^azcO~6CpWPOp6n5r!uDodFr22`_a6zd>u%M+B6(e1zp;JT< zaDaSq^9jD-P=w&|(r9gXfPPb1>(XVLiAXAK&+kAe*6rjj(@OQLNA^$`~iFo~{<@8I$q%K1L&*Q_k z`F2z};^gF|=SU=v@i+20+P2(O6N{vm^mL6@sj{1}_^MaQSG5){1aF4=O;WDoW1D0( zZ?=>xg+&^ABHA|yX5?7{*`I>p3NEtSi3!?ydDX6@q`Bj3AGzCK1*MU#oHAz{88Hjg zYrv<>gsuUB?}o!=A3}f#@^82p1;ULBp3E%Ye}n<&%Auk9zu4hX(Aaprs>bj(l0Woq z zRpHP$+&A1aI1^9T-E(ci=n$2s>$TEf2i1Lg2R%L3l)245MU(ukSuO`opk)3UJ@{l(m?><)sl_(R%h}&04d% zAlx9*D{NjA_n(N;M7pzAVDzqOAwic_c90=?>M!@)XeND!BA=F~U6gOTxM-7+p-h-j zMQF5N0#wJ?0u#h*#l*3_RRa_=sH^@MC`;i6P$hJge2iNXiL0W^ z8J0hCYB^SjE!JH%=d3GiZ$vAW+qbZ5M_AqTaf$em@ppI%V_;2=!F(I3AAi2_R3?4+ zsPvi$!uLM*q)XzZ-zsd6aod@Ll7Bq1bKtrgcvq*aq0VCA@?|uVh%~vH&U*s1jq^46 z$RrP@c#5w6#!ZL&akn*IeifWG3prmCz_QqNe&~=NmP2~+>?_B;J7LUKg8N`^o2YhR zgfRdUI8HV;IuTYQfJ{R2B+vKB7Vm6N#RKFAROHF?2hmY(cdpft(5o5`LM$(_rK5f% z8aJNm3(AOj`C=NXSs?kvVBRtL)KPnTdaWrcPP^5R=~-`?7PFdgLdj)zk`Jm6L7r=;|0nh^kUJx=Z~x&)J1Fm&Ka0@LGx8 z9?H~HUHS+@ayH8=o)Klvx8}H}S4eLx?zw$%uZWx4P7gv%_-H*JTUA&-8~SJe$;7YST>LD?(@eUm1|g>!6^xToDyjP>o9a@hS~7zQ%8Mv_ z7%{#c7j7ZLJCz1Dk7U_Q(99Qm+2{WtEZFq)m|u^##^nIcc7U{14Y!58{5tLrKW0u+)`6hUffdo@VsiDkk0 zr!NC%FgPd4r+cvM5yWJ_U&NdV2qu3!4A~p5EqE%g=1x&p<+hUdbFjs@ z#xcj6y-`tR>M$1tmq}g1%U*YJUt;eMmYGx65Z+LKLzU7(@z@l4;7C~MITI~2lL)t} z70hi|itbjpV$oP|pvF{A`r1fm;3Z%DN2vl$0cI9tfF$h$Zr0c8YHpZ-B1qiJh*+X8 z#}>VYs4;kI!qJ%RDrz$sF*k8{?8Uj)Ey--ZVAOCI9}G~Wxw*ySmU@lFV}0f>q>c15 z`;ow}_>o%b%JFNB4(kaGg+JMjpMN05MCG?uOeKXr*H;U6>o+tlJ71gm8aGCN*yFPG zeeEbu8ns-%q+%h%D7}mq34I4O`+UN`_>KyZD|g?jwEfxFN*(k=FE?(fjusYqS_(sI zmvoNTve5pu6wdof%Rl%N<+qu1^UT5%SESdkZyTA{{yZQ481&L0SzZJx36kIwjIXil zSqa{n&t9FQ`~1WdcJsWN7ii<$@of9{x3M1IHU`D4?W<>m%A8kS9k@kopO!w20RQ0n z=H#)L%_~(mtg&FLQ~?b=TWdt)j)?7m_uk8+`4~$R0m*E1zw;6^ua0&!ya?I|Btev( zR|!J=X(#?i3)W_xqV3G@Vg_t0$mFqrLXnWe*Susl#W?-UjQ8JXb;@mdysz{eXGrO2XZL^uwQ9Z&TPOE+Fib8ok@{+65yR@@!V{~BwGmg|<5?gTCfc2Om zJXzcvk&Vg7xo?7Q@^+f#&00KG&B@wpG_jHGz+N4J{HkeA)mMF9%4XKOk&hdg`%E52 zzo>sJ8gC!dB@^?M z#gF*@)Et!08m19%aKO$_%;y>l-8{J7Ie;n%1~Cv(27xXH!9Zgg#juY5 z(-=z(i6)byN|3u&eLE;EWhx6+zR@dFWw9R2aTH$S5F)~xJ!BjS zV0;BgP3(`>S^w*1e*MPA^5+Fb86I&BcamfKx%zpt|2E2g6g{diB+fNHnYmYznvO10 z;PAS|w61QpG?i`Rz7vl82~rNP{jaDS4gr}=uhrd?&)iA0-||>3N&jei3DTC}^C;y@ z>_4SWTzR#A!f_jWNb~0i%Is-!SeI|^sYR=-5l6t)b?Z$bAA|p-L#eJneuJv7XvTEF z*%jOQ_!wmSAk_Krk)Gpw7hvGP2q1u0-6M@C1mrd8UP`t*zbub#O0-l7*77XsGb2`o ze1F~fpknp4I8&*xNP4gH%d?r$Os^ZS_??dv-ZlxBc5i9f>po{N2aU0^Xay$YWBkOr(j1F- zyQue^FtfCeJ6Xj|k+A0C#V9LJSU-@o{jWt2fpBr_yxHI;*upShZoICb`z@IcuE|%? zgY^{v(|!s~78e3Q9ZH@wXbA9dd_)!qECL`nZ&8#AX&h2ezfdzWFIii99Dlv>ROL=; z1$TxrQxa|5Wvt1|K0oD*5|XFWfu6DCW;*u&C_DT{HC0Gek@IpB4_^%I^A|XQ7`FC#|R% zzJfL*B0PK#MoC4V&#WQR5B5z2=OCD@AAzf(**c*sEmeq|0-H}K5#_SsiU>TtbdO)w z;ARWa_6A;CXrWl-a`FEXdf77WOA&0}I@~#ByRQ(Hw|uymu<(b5s+vtIs7b(Obo%Up zAt`bf_f6<<2Vv9AeahNbah@LdL-XbJjaM;}X?rcf_x4S6nopGOjm1zfe?O4a;B2jM zYfqBRnqV_0vX6X8cWTHob!K?-B{|Mfsy(-~EML5X`xYACQYL|wtk}q08>13ZStM);b~f`g`WDUnA&@`pG9KUD->^-(||7!l3ee8H2^P%-S@pz({X|uZH|;W#62|*OWEt= z;nuR(wV0Gu_yut&SMCcUwTI=hY1GW?`1&UL{0RmUlg?~$9dem4qyd@0KrYrkO)D%s zWvJiy(}OqXTgO9TrD0{k%6C%JV{&|{a=-~xy>ObYe!?K6HNQKyI+c-r&z!qSDmUaz zZ+TKIO)aB&TRrKo|G)ORTh!2!=cQ=q;p;D( z?&Q?xt7$(Z&Y|zc=84&o` z2oRbap8C*?e;H_@L=JQ6cf21KcXrU?$u*1%R&89}`-j=k*3?#U58uFqPwOJ`t$mGs zOv+cq7bRCl?&nI>A$i9ec*gDmsPx{37AjVj+62Vs{MBhQk*Ckjb3x`~$9k8w;KJ#LMnk3hRyX8q}SQ18FbZwAxrZ{EJ0MIYoZk3E^P_mF(1 z@3={fN`}-~rLh$jmJE;8rJH+FmYZzN2$8cD(G`DIq6>@Mp)Ah`V7TtPJXD`QkC~Y1 z8ALy?yWLOnwUek6H83@fZP3?QxLUHG5!;xOUM@<}`N=HHC5-dIs^D=^6KiVtciD%o zIg;6k_00G?VPXjDIeOsYx905Yh7#tfRJ7I7!Mw^yl6(!~veU!8%Lk5opLYI)EBr&2 zs*r8q^|yau$AuZ;>CQ;H-9jstjn`SJg^ID)hJkz?D=(ga(Qe5L5jHtS5d_`VQgz*geULQF@pzHH-f^8o4`8zT5( zb;>p7cjqLz*(JR11&~tP9@?UdQ`)BLn!&3(OqZLq%(1g`ATx0jXP;YDA~$uM^LuVE z-eETFtMIfMsWBKv5Tvoj5s#EV=?g{Gs;WZx|)Ivvl`J)rP?7pmR1H}+u%U)_NlD<-syfBJ7)cke+xUSE5;Xl7&lL%G0A`D-qSLD(;sw5@F*gyu*~!;s?M!cHS>>& zHw|6g&7Lak;qfK-x6X&;g40W0oMu_=j!eSy@24dEKi|E8X*pSX259(uwc0`1v??T!HNueiSmBRRC<8j4BFd#UKAk z4~gY?1bq)7ri4XB0UA2FF*uD}RL{U*ZfS5;DeQ2j1HbH*PP@OlY{zH96Ke2l8vo5` zRE#Ey6R+)BracM!sp3=H<<3a9*^)Rmy7gyVJEMC+Am!xV_RQS@b+yX5CL!*wtiuxXf4Zi!A^`JT=thv=5tFMB5bBm?jwKe=qzX7XoJ zVR4i>>ubqOFR>XWz911pFPSz~FG*d1H$8hwY0YWt+!np`edIIyYPL?!V!S^l6k6Qu z>r67-R7+{cIj(#c+<$kRf|1&hcuaXQ^3LmLtwK)6oyiQ;BTOeaGTODiA?YHGGMfzw8lQTRtF zQsqK}F->h%m!dhy+g>-uI!6dm9G=;oFgej5Jl$zPKzJiCA9mv!f2J0iM`jZe(jwwWvHp!wIMD_OImj++TxzuX#j5 zu5=5Jw?Kh=JX|PO!&-ZueTqyI8qX=LCX(IyWYNvdS@=m%uoGZus`b-IaT68W^JXuO zj};T%N4qomeiGyI%TxWL6O=z6^IxT54>Gh7M}_o%l}av@79svji$WPgs2VSjQHDip zelzR%d1-%o*M^pr%U26P8wjUr?FUn1`5pt;5j_+do-VOMjR`^S(6{Zy9&AY)mi3~l zMz(Mrcb@ovE?LAV!r=9YDOg{Wj-DWREtXwa;NbnH-^9CAlMBh)?fXO8!al#``uB2d zQ`7ryK_@-s1=^~L3_E2t*u8fj4z_t{oxChqu_ZjvDEe2J)vZ(3bUr>gpkBQ#QsKrC z`Ch5iZR={DFfv{>cnE6+Yu%kIiWNt}RNl!xJ>J zYgtiWRxaPtVi>FFK{Gt zU+VnjVUul9R3kbF7aI!?A7VIr)nb~aRQzp1nMSmadTC^3#*29=Cn-dK;*uei;FE6= zBMPdQMjevcl%`f!bK840+>LX`$|4av)(kiuLWd5{ovk-Mm6H4jz9!St)H9r6#5whE z-2G+vr2K^cs=mGaEDjDw(>HN6p)p*B@_SU5+gFZyS1(p}5d^^!Gv_VIl{Db+Ao$?_ z*&rFm^&W^I1tlz|q{Pey0iEvI*k0FmxmtnrU)h{GqsZIN)MLmQ9kAQKL`Gja4d>zQ zj|AW24F3@*`|P!ets3bL!Bf@80s8vF*2UKqyINmU(|**Lm?Y(m7gm!X;w*UY_0p*{yWAOx%I zYZ3p=8=E z*vLN3P;~r(Fx5D)!YA7UOUuMg5N7c|^axZ!OK$S?!JY*~h&$R4Fk0CSBS$T*`Wz-N zc=B-`+sURKV}yP6QB|0%*XhL^EX%&H(o5JcHV@uV=H@tdD{v1^|F}e!3NUPqoWekYk7OwBE_+H<&b0FS;nwUSa&)sLYm5)uyLMCQVRaTp2UBcP5RMsEL?_7DPR=yCm z+?K`4tbA{9U%n#MB$v%?dfKX0z@?XsF8^&cj^0~~u$OGV&M0`!XEhPsU+8U%0K?|= zQ*WP^RY{EjNmrVUzW1|kr*8L(>@_mK<(4KtX7@+E+Kg=)LOC&rzrD~sfL7GI4w;=I*MQo8l{G3x>2nTe8rRk@6V?533Dqp1stJ>dxbUyQ%|4v+f1spu4j z>r;u`_=df;*)O=?*e9nke3VzbTTh-Y?|91CNgdGD*U+o@J2{^jDMreF(r+vDPqt|6 z%sEziPL8rke%yjYsD4feN98d|X#UGz+m(H(nk#vp+>=BxzHq7irL@;Iz7b*ymY49G z{16r{$3ibRoR)GsLg-fL_b^on_?@XgkMCO~$4x!ow51WkI(lq85#-@d72c3u@_}zj z9wkSw)L#G0#I1P>yavgN*-l{O20K(E1h;_Kgt7-q754$A^oyr~O9BCKW08p(EcqZY z9f~{G)sbQ*iYn1P0>8&^9%^6DEv@`}wep6$XH8~`)B5Ep>e7X;MysWWT!D1sL$$?t z3(WGZI*z|*cxgf&o_>35OId{sgjLp0uvJ%H^|go9m~<0%G>pRG*(W2-(g|u{qJ;D134Ys`j_cUELz;B1MqzEj22x#FVsR;qKm+_ zQbO|)?Ps@HaF3@e-XFO^o~lH(i_`8W*qj&l7!mz~Jgwr#R zCS1Gan4h@}Rf=q%hnKR-n6vWktaueIUFc(-V+D=6_#F(>f4;J$V$i9&GhAUGa-Y!l z@A}>)iX!(!@nm1*FQuXa_}z8w+~1!pU|_vQN%rmLuAQm%qkX}x?a-2QLJoudt_({^ug=hJGMdVD%zMe9(&3pP8ZI>=hKXTOiA=xQaR!`CTrrsTP2gf7} zy5#-=aCX9uR!#G2q2#2Jl7rExJIj|gJKvPMarMEN{o8T_P@0C^V16_RyR8i0 zS3<(_;LcwFap|w?zEjU$wGf%Yl6-TnVVC`#%%`86_NGtl+TF<1XE-R7Fk0*D$Ugth z_67ST@BXgd9(xX^P(tee$7C}D=>S#(!oZ#x%ukMs<1fO)jqbyAORN8=E#LR&gQ_yf z7a=#i`t%44Zuyi_&mU1c^hWce+q3+fY9UhMezVZ!b|7O<$KX4=V_sT2}wWl@G& zKdIKn_r@)e3x`%DPG6KwLMDD9Kx)svO+8>E+BU@ylY^nwdHF~m?IUmi+BNU&QNf7}3rudr$1jfRmilx$*METyC|mb2hXYA6kr zzqt5N*CTDGknQ;YV?*lrG0j(i3zk9hSFdm&PXs2DM(F>tjw&Gj{#Z2h3AepzX+kx_ z1X)z42D*dQ%N3fu6B^eqzbPFY@RVLaVq94*ddl>Z_@FNz<}T5UD*L#XAufA$z#+MQ z?4N>CR$Sa>lx+5GwGZXe_e61@M>Z~+5u2$3KILOm1k=7xsM zubLl#gCFp~0kxM{VE%;imFos6w5f(`I~|*A=L4I52t zdLE7|h26bdW-t7#aihDETpvIBwb-|1x1u@8>7pUPoRiwO1#63UQZIe8urEHD(1-J$ zY<~J%xo~-_fGsgwb&y8dl7^}fGNFBo`G|!Q75Uw*PqcXW1gp4lPb2`NVn9JrVmL)O zqYC~--sJu{I12&5E{^c8AspjH#l^_VmDUvC*?h(I71CC(Vfots)`oR2wfYy9maaf} zIREH1Y=wY>^(O!c%IESVHPgoS=IYZOukx3}v-E}R_m+awofmgZqu*bB=LR7j1A8oz zV{CdFr_C68DEhZ?|rfd(hHq`ml+ArtK zlo#_;I4kc5&ouMV6fWDA)U}>vLLLi+0WDhsX5qN7=xC}UQHGE;v)L32V#^0)#R|*n z>dc3H9=rgEY_&`~4K?-RLZb(;54EsGlAiML#6mDz>AV8mGRwQWnyIL_{Qdm_$HH3i zOU+z{Iyj%B!GT*B*^#=20=>~dCDqO72ygU zlOx%yeg%VFkb!eJaBC?2lQzq15Yz!F_g*0HI{}ZY+w63I{~1N<(y)!eq` z<^t-;=H}!f-5r>hfb%m5eD{hQoNq4o1OX#+#14SXWF3~$iGa_$nic+LYeR))^3dlo z)ZoksV7$)t0HmlyBIwa*chvIZy=h;cU)Y+=Z2MLUXj=WM6fm6$y2;cM&#Jd@BhDqx zJ}Q8V*wJSLZ?k|+BMnztRqQp>ApY2T`LwFaKzU`EO+A&wXdNP87dBc#$M9?-nYrTj zPi}HVeu5?Q(T8 zYgh4vYRYi^U_Bv>I>GCTADBZX^ejA$oK0o?uK%7-_=N z?CNtL0yO zewrs;4{7La*Eoj&h3CqCwxbnl6Szv)#7zTb6lL&S7)+{zFnSrk+dIT?{yqRBDq^`L zxc?#5mR?Zs18~oXP3|5Zw}3MJO{N_Hf6pNn(i@Y{=$Qw)S&b7jFt=#R-M~bSP)US? zhzI9^0?-VGPQ+%=NpVS7Sdun<5dy-dN`0<;?qaV(yVF)e7)aO-4kwG_l+H`LhF|<& zpxV9vA%|lYt0w(Y^c~(yfvMx;VX!m8gj^cRd6RL(b&+mXii+*?Hg$v{UwV-9zSl5) z1!u-T2{?%JS+;n7;Zab8ix#YGALGeOQJQf5<9OCxa2!z4kwFjZ9WwMW&HTjg@9m&s zc?CX*hyxiMc&C6)0-PJ1xy?~puAKnZY6m~gM41_py?vXMJu4gr@UV4(ABh7Dp0E^@ z1p*I<)dEN#e!k-8L+b{>In=#GGq5t%%F;3sU~tMRzbqo={$~qx)m#mv3L+Er@WYzO2Q7)wsCOEz2_1)h}_^8ZB3i7 zhR{Z)f@xLc%z9*Z#yause_z~wyHPC&*d{T9o~r;vMkHzhjR+sEb{Prwt_j1M1Yp3h0YVjMqQ00!Z0p)-YI*OR_{o&DnN8kKa&G7Q{ahcQ{D^rhzsciF z%9|G528VOA?PlcvN{3gt{hyH{lgU@Ix0-zPNJoo1RU2xPfl%31? zzTkG;-?##e41mhVg9UiHXH2X2PFA&+#1el zVVr2q!E)XvTtj9dH?8+;i!s@f1^+?@RD*}ta~eV6hI8)_daXkJZm?_r{ft`-tImS} z(FN#`N$_3qIv)+p`ClmE9 zRX}Gl#k}OeHsiSB_Auex2lk|dk4DBY9;bVRyEc5_Qy;1|*?dQin)c;Q58-dK(lCu6 zG*Y{68=Qq@7j8J22~k`eys}G@#m5us-(;r!_ehS!v>Jc8+s#Z&p)l!0g;)}le|!)Q z0l@jXFTViq3F)inkcP}vD<7(HvO(Td zKR7aFLo7ELE7)FSh2>JrqLi*sy*AFmiw)NEe^2lp?G7^5H884HBi9lI+;cy*N?&>D z7-nA}bIAV`6T3dH9I%bMU{8>ISp0ZA@yOj4D~EFKyMQBr_Xnid8;;!O=4ql z5}aJorXpM^^-|$!#!&aExR@<8bu7rlN_E$-aAt%&Sku0>G-<`7;V1TkV#0Pw`07Nn zH(EzGlboX5C#-Wd!Lu%D>QOx^!LJ{`b!uWfJxcA3BdY$X8G-|Qd07zR@Q7Wwz+BV= zXaYWOL zyyNsK{1{PlnM@TOlSh7s71pjVTue)bsRHhkKI?0QEm@u)?WcZOva4Sz)lW{ziq_*z z4a&o5V8f;Xd7bSv-;2#9C&Z^&T@`}mkMQOLWdXvy3leAd=GWx888KIHLFEUgJ~Bt%%u8aT`|Y( z84SFCxn4Ak?TX+MOLaY?NbgWzWK|B?pF$SY@blXZTVau z7JPFnPoC##unHweq<_eLEpCdb%Ky^WYLK{CG3jk%!Q19W^vOFEcW?0E;Yus|RH2KG z#HLOgh6H!o`kyt7hE?XJ=glK*Eylv4n3;O?nKQp-gUI!6O$A+Q&m9f`U<6#AF~nB`oBYVd(Szc&z&7Z&5O<{k zmGOJYk1$?rHEn(A;LN&ZTFU&x;dC=7X6N|5Gb`b*`4cUahAG*Lh?jkhUi39rx9RkL z73){3_f%PasfM!62ezIC=@Scv>U)K&ye)2AIZ?6W@cqq%*=SyN?rGTTL`oPpgWy2G zvhzcLEFm^;4Gj$)p-TOS?bGJm2;Wnz3)g~yMXUGecb~MqyImlCf4iP~=u%tsXvqO( ziZ&cMw}h`kCcQ-=IkWR_atekL(mafRzW1PjjQ!K5oZ}wRt@JV7b&Z_bf(gqb?kjr@ zC&zJ53^cK>9$YoS5^D2@NJ;NoD@qA5@w~)II*WQ3T^=I+9AGYxyu>4{y%bQ5?(m^y zrfE@Q@nA=J;VxXnV9ralW9oGLPm9Xq9@12H8%#7NKEDiP7cOPB_<`9u`lye5hhnV# zAuV90t}ycn-R6j}8)`K^SFTM-7%tG|608oz?|6PvaWg`f>IRqZU{^CT*(ajVBJ@e8 zHy+P+cr4uL7R%T)V=Dfx%E)rT(1A0|`mu@l9S4W~*3Pz}?Rrn4@)@d#F0_ZSkONAT z_si_{^vW-Hupp*4?JSVCURdIiHsNMJvDom6kmWZOdh>e2$sni*ne(jN_0Ha_dSnh| z4Km5-Xtk6C9;?sTZpGgzf3`RL5Y1pATpGC(+skpsu=@UbngL{whQa&M0ZU|LI+#54 ziSBPJnUiT`_h#T&#G2BXaJQg=;a#5XLKil4swl1CeV@|FEFpg`&5dDQn|hZ)=$3YV zQKIl(>7?I#qb|LX_8aZl($W;6y9ALbuJZ{#sxOA=2j2JS4|hzIKM||PHCwyF6pq>~ z-=ZAl3G+$|6IYj=D%?vIfx&%9Q z^XsK@6^nuVrdrOxM=Xa!_AmEAgSt3IKs3)jHelwoOABIHB?IgDkf zW)69CQ)zcZdHm|tk5+&Dm^T9a86H*6wynKgzDJ?N*Z%(GIVJbu>6mGYQ^}UHe)=X1 zYC`qxcP6VOocmF(<}p4ENy^mu^$FAcsbS$7KE=5d&C@QwXayPr&K;uNdr#IxWFOh^ z9OFETznP!=;w`L@7D#pzpSkhu*=>=eJE3pU=xrZmib_-eettkRHtT?YQB@tOp)qdv zSgRb~3Ww3hc8~cVNK+?$H{f@s{2qy;Dsq40i$VN6Sy;e36!MRuqAyR^s#azDIBojA zNHT?8#ICuW?>_H2WTidX&!mzT?M?%3A&sVj=zpR5Ix!S!^zJWWMwB}GkyB>>DR0* z8lXWGDyLM(8771}Q`{<&A)O5lnd4=OF({Xxz?PC*%%FU~|YwsrpmL&tKhF-Tzz zty@KlS$aArX^4E(e8ZO9fdH#v^KiOgDhDYb5KSn(adBHmaxJQosfmq#r9})0H-A9f zm|sGwmHJ9>@7R#Uv!xWyzwoH2L&!1!1mZn3eJUy^)#(89Etw6HrkhItm*^^r|4qERI6 zxU2f9R}F4l#Kw8}YKkC*%mZ7>yD2~XMC_@HC5*+%{gq}!F8l#mJHi_|Xo769&HH?~ zbNqv7s;3zNz6OELbm}9Ddw9j2-48RkqrzK_bweKE`V*$XV(jvXhx4N@^EPx*X_;Gc z)8wqbYfx?`rWb{eSrYzoNkp^?nP!mfes zWPH0L3*QZQLQSsMU3XSQ2fy_r4Q#Nqz3;@|vg54wAK6r=vEy<+w@bIs)@siR+^CGD z&3QU7{Z2LqV`yyGh_I9O;Z$B_0g->NCe7=*G^c+T51k$<$yd|Wlo{K3)rw}-eY;?w zC$DocJjDyneFk3->_o*SCjLBm02h;@0yX_R@%7;(><4p6@+O3tpXxpRo+s{VEJw6? z;VKp0*eH$!m@!w5)7#al8Q05OkP&-LKJ{!t@xnUSLdj7)C@k9fk9-8irw9@&P++SOFektKZ`w zw{h1E1eqY<$?GPk5Y)lDhS5US2^&Z`2Tc6uG)O|Hs7H%J|5YEHS>h_ymYN{bo^TPJRs8ftQhSb?%*N_?pz_V!1WRD)TDhRp zo2PdICG15RGdmxYbKt4vu;K0e5YUmS=l5_ED`*vX%~r>2o{ulO{@`nZ_qWR;V|)FT zYWRW{MXnz(iA(AhQMa873uxzaZQ=jrktkIdd!=B2$!#-DJg4J?d?2boc#My zC^)DknzN?ijncr`Z!!1JA3khSdba##(2yp3`H>7yd$jQeMSEoH2@yRzL12h1^R0iF zD=Uueb26Xedei=;l>MlPnAc{Zt}Il|rPHkW2?L8?h+p8_P``Wla7R@(n4Cqs-22|z z3FGZV|N47YN!L_&wy?XEi7>4{-=f7liKlNC^m_P*;E%Eb_w)T74*=UmAB|GXs9X1w zBeCI;rq0M>T@J8NEYGS>r%K3*rt0G`*Y=&$Qyz5m&^C{oE{t907XPSFOs;u`XY3_uD5!l47iuh9lK?M`-k7J>?qa;hrG#H_!GN2lpU?%kESz%L$} z))a@A2-~wIogs4nSmuJ&tasIO$^jiyw=vbfw+)^0`x++@pyCjBW|;GnMuUEUCg*MC!c$3}%6dVGZD_bzuEd zESH@hwEwOLVF@h40RkncrL}3YHN4Mu&=_POVWum{C` z9skUiNwVKeMtaIx3MM?QvOBW=_~SS0FxU5xlya%?U)F}mNZ0W~UMD5NigXfkN=nn> zn{7qbH98jg#SG~c?xXkA{`$1=jX{YHonOuQX7=sdm#>D60d9manZv#&dt*z15{ie_ zQY~MFq9@-8N#tk##Nn$tcahdK)9?1>!55zBB2no@EB<2W8`IRjXja14m{~UU&$ivD z;mu(Ij#Ajng(4DLl%A}tKA9JPbXuMSb!+r8Yi&vwP2%4Xt}VW4D?)#X*9B_#&h3wF z-una&t^Yyrwhz}B`(16Ut=DI(%jMj0f77Gw-Pd+3sBK@!YHF6Y#gZ6)f=@3Yhxu{# zhJYIWIPNIJyX+xVmWshAqiJf9?_!fZyHg{qR8hQ_)EVK+f&0f?P7z3OQTOPJ0R|uv(jw9+B^`=Lhk&Fs(%l^@ zppsG|AfR-2x1@A;BhuZ?-LJpz&i|V`bMJKqW#D+;bDr4GjQj*FlCwSY<{wNl$rYO>(WE<2yzCj-3M*Ybp0NX3E^5AO1g}#c+`D zQiHA;_~KVomCt-VfPP1>L{jseab1f8@kh0RaFh3qXhJDlpAy&~CsM?V3M}1W;C3!e zR|>(HWBaI*-`{boJ~_UP;NbA8r}|YpS1a=m6YG)Q?W~RGw>~ESCaiW?&@7FJ`k z({VVF2$$cqO5)=33w*l~ou{T0^L*w#BR{YGA3wq8**x~~4kk-f6&YfGFXhzU@LA7L zv3q+d?9sYQzoluomi$GPLpl$|?i26!gB5CuwL`Dpfj(l{r32yZp^HQ`5+CVRD-sR4Ok0mOztDZXavnHjmVaaALA2 z@!a`0rj}{G^_H=lVaCxsW%@`%EmFzbG@P=3P20#Sg|eI?PJoxKyr{-9qg_wmMuyzx zjmZ*zj*k&q7=NQgnPJiDD4QWAe|x}pa#i)_;7)f@5qo=wh#XN#KM&dJ0)xNb za8?h)PVLX=vN@Z-JVX(3Jal;JEb}-c3rp7V#WIHTn)F*@^mU%MTTh>I@)F2=xG=iI zqy2hr{??o57uxv^6FA;&_Z53h4)aom(2Cj^auNd)J|@w=`Q#_L%7^2c*AVWeyDnGG8jcI`M4mOj>O_dcNgX>7fgpSjDpK$;ew z7mYGUidYFg)qja5s9%&OP*G7F_1c1bC+=_7A4SDBR5 zxTyI{qN?t#$7Pua?W~~tbNavb8-0pnLl$h|6vxyO4b!ixWNB{+w?Ze6d2ZXKp=efJ zlTVU=G@8Egl*%b6ikAO{>9l92J<H?^ z^P>AwZfsE(^-)DyO-^0nc>8?ZQ{N_w>^SXW=D4$|mLD<1pNHJ0QCB%-N}Tw5wkY!| zZwX~Z&I#cBTAoua`(Lhf$lWCKnE%jVe?e9A#t)#g&~5bFNfWyG49v2-kWA(gct$>+ zxiCF|5I;CfG`%u1jyZfW5D}=1?$Rnj*Y(VV=sIr;)*>p(4OEN&{0hkIOD4(4dfCZCzamrJ>P^ym^|w_vn34ZN##@yT@BP+P~kZ_z$cx zIp6R-G3MW{NRlwM-6C5oI5|Fxx&Qg2{foSTRgWwzjHl$Ag8Py-z3L*$zib+=Re#!? z50Lrgw}1F%(yBmBHA*+HOrm)C=hD3wwdT@2e>HS(zMG~F)2k|{Z(4(+BQ-l4U0d5t z`v_bx>j{gpp93odg6`bF+Gy|UEnKX`D6zn|`ifk=e<3C{Lq;n;V&e=q{CVp)@iQO$jY^Z%a};IeiLDqhds5LKVvn{PqgIcX zbt;eDG_-t*K1i7^27JwjH!8#-S8?AEi-{>{~Jp1x3J^!1G1l~L>U4qh3>jgwsY z4ed@zu_ttH;jdqoME0bBQT||aLDuvGx7FN$q(ea5JzXfyy({9i`e;n(((1OlMoCVL z1I%EIG6(l}&CZqc!mO=&Qo81MjZ(kah;{}E3GoFnz46Yv)Txa#e{^-XJ4{MM}B>ah)|RW*c$ z7jurPz0R(D3`+MAT)rXA9mZbok-?*xF_%4@>E9*NDCoFRyd&&pen!}WA0X9X;*^A! zMxu>b-_*~xAGIGQDbqooRvz|<3@7}wr0c(lfeI!8j6rBKs&zrIfUl@&N z_yQo;!EL>zt;ZJj`*MOOl%h$Y+1ZTMFen|sVg&FYf5i_t4Vsi<-3Xn?pG2}AJw7pj z-;~oxPVS#??^XZW)n1yU9ct7&@N2gDcW)?yany9ngr`8;=)DIl8}0;^V{6Oe(O7MT z!*gP}@c6!(58j7E93_9(ANc3s*%zu35IntZDtc4Mp&&3XWbqn{neoI{#wd8DfZgeg z)`W2W771sa&@~z7-?FN-k)$N1ZDRox&B2o)Z7u56BNp1$2O~~hE_>$#gcIY}!C@<|l)}+mwb5$VYNxMc2F78xqgqsysY*!1iLJwOe4mQaqB~QEH z*CzU;_u(_#n?zixOL`XflJMTpk403(D8vQlEb%8LjzinjwSj%(`4!r8i(={Zc z6Qslym6V$EJP#OvE^G|y=s-?o20^y<-On}DN!JfuzVVbCQDD2?nB6j2&@;iSD%yob zw#Qc+A4z={wF0M6uL&<^9FrbInt`s!r=sBL6zr;Bt*(JHx7FQhWA66qs{SE$25b}i z0(O!PGb$2D+JqXoSp5R@Ad4hq$LyrYVLCTqYzSY&8U^yXCj)!10TWAMf81i+4;uz)y8A?eCCsDT&ie zpMM?C9>(8NQ{haerh}@1g7ff=!!%C)$9(r6Si1;VycvT10nF|0hhs)jOjpnwi)14C zjvaxuY3d&GnV^^3l+DI`M(qEDr{OLsxtMt;$$5IdX&!pDZ650(jdkO0U&AEt3Vf(0 zyx-Rs+4tFzI^#?PF}z6DkjN+$$oIEJ?v-LN^UZY`1@(0c#A`Kk##}ne+KDbp7UUX1 zMvON#r<2IJxxWcr?u5wRmb~Tk*Xq#7zSS9_9Dj!C^&#@7z(x{Ym7UYz`o-O`IbAEq zm`O7>1R39*&y9T?$mKwzyWIo!nQjpGO$f6S|8vc))FiwprKp0F^#=%S57*~tZjXyj zbvRv8l|1;#>uvMUfF!%xt~4&ipNu|ADg#dznOk>5%usu(?ZmlJx#-{wSuVPbiD?LR<|w8a zDA|+pwI>;n=l)H#)ZZE0|IS9lQ+`z^o$f+eE3o(2_wNvMa4umolTk{P$KYJ7S!LtM z18kaRNAli@g~DEuv&hMT%NsTxeexV}zQm`4fy(QCGKyIt%qWjCib+6)A?rXhKhcv&HIKi!gyO| zd|pbF!7*=%P2XK`^M6VgiO))Xu6ItuX811?IO5ci+`iEkty>)GNFec z6$%`v(U6e?Wq|M)VsawdiY;@5vKvuBYM$*(YR3FtHZAv!`tkWK}FRr5= zmTU_B_}5u7vajVNc(jK{Tpz=YP{Ntt`XwX3sU)tE)rKbmr}(5zE9sa9L`^MPViChMi4g)T=*XFWvtem{ak=HkR}1J)`nh z!)q+e>!Q_xT8!x{aW+yKD!k5Z;aYR*F%att2qRP-7VN}q_cnI;+cOz+(Yxq44K02U z5!Ym9u8bMLcl~K$vS(?(z#^|{05#Py(M&aLe^rz1}G2P;+_n0_&IT8MP;KSD1Zjt?l z4h493^vFm`%i8Ac$P=n5!C6ZM7b^AQ8mCdP=4qU;Kvw3r<_bq+Vt*D`sg_%lCwQLH z0Yi~xu(OXb7dr3t&vW`G3k&oL{{1e@lim_}6zq9{e=1V;F%NAVK8+Zdji+gFtljQ) zW8;6zonS8T!lfkgcefz==EK?5Z6CxBxpM)L^$X(GAXLuv*dCu+9G9yq>EV<(BL!)E zm5(EDeItF%D|E<8saTzFee=jjFWo(nJwm2wlHbn*B!=(lC#1p@h~^>d-ub$Xkdd9h zEAxQdZ26oY@vU38kVPL5?9^~@BUdkKyI6%Hdc(9TO8e9Jq=&W|FNv7^fJ%cEqu`5 zV~I91A8Y*Ae?GELR~FzcpLp)vy*w2`~#Nj(`=+bUu4FGrX#h z`^p=O=1ddw=__U~(Xj;60O51lgmU8_l%}oieJkTu8ypHa*O)CCX=DFms|u8 z>hJ>PI3PukuqcowJU%-cad|4Lq=d)kwE4Ed=eE#|Voi)RfWD zx%lu-Nm*Ip_3PJ5R3c_<6$u_XIbHGb$A%s+XL3D9am~f8VzslsPjuW-La$$#R-~mb z%Xd$J{s$+kC47sBUm{_7HIt92^p#@0-p9DwGAZNsMJnxosza;qQ?${m>%MVTX@%Ub z__#d@LNg|4b)WzX8y0w)N7SY(>_A{!aPo)8ISebvb0*8ax6e?~_K1uE-sDPsyu=ET zn<9M!qwfM&uMMYpw8MrF=Tm8_EZ&FO5_zVz3x2Ii+r!eC9h>*&}Qkj zBI*W?aQ`FE2LZkgYr{KRURSa6dS|5LfMNzvkd3MJ$nLmVUIDP#BT=>=#V(?kfyzrt zSNG>12OuPU5G4P}tdApT;nN$0s+x^oQ_NQUzd+eUKM8NbJe#NXT0rXkzeAB)mo>-b zsS>7#EZ~des2J~aoT^N`ifJh=c9K}Ow8AhplTmc}>tg;y9PJUSJvxE3d&w4KGv0&B zo35<%kAFAcFAW6S2MGpBDEvSkh7G!mZ0$A#9s@UbD?nYQ(mih8y!mrvjmN8YGpP=$ zR0Am;LshdiJ1xZ3hvQ~QqSNE!V+Knj&e)y3y{tX##1e_%_}leI@el3WG-YYD*{LEQ zlo~Ena2Ja59tbe(AFBV1rP$JOGZbvKmE7i7jpltN3XlFxR?haLCnCFD(m=Sbbc~~f znc^lfmZF-3^VJoK^`uTG(Ktq2EI#Zm7*!y}20`vWD<_T8iNJ|vWiOxC_Ev9u_Lsx7 z${P}Xy{1nLwOdG;KRDQ_si=Gby3-Q>9xF%o-qpkXr%nx-Cdm&kzVGxs)y}psCpccO zAuAdfxQ-#d>5-Kb=OuZCbsg`aIletEZBs{A~{88&KJ3&WWvUh#6qYYT0M~_3QQ)_zlG-bKSn}l zgvcPk>*@kA>9$pa)S(F8Sc2iU@;ZBiBn^fv$8%_30LgWxX-aCJBAHEgQg0=tipj~Y zOM^;grnHSfW%H7JHZxMhhl|H7IKSJkk0ClAP79910W?gf_xOdWp{97pv3LCQ>DO-n zmJr(KZ`WZvCT~yTEipy&UUq9agPSh(?sGvy6~B>0@PtRrIkT153_5^>J18&DD(N~> zS=_362Ng-Je;pNF2kI*TWaIV^EGjJIcG~=|e}<$phI&6TBU0(OvFeOm5J)?fBcV|2 zL2#`3(9rck4zh#_S=Rl%X6E4RcWj)6g^Te<;N!a2u5l8HGe9nO21V?qSl z3)RPvV~Y=)3l)1f2gIhYm6Zz})|3I(xu{wOg?A+TS8E+RJG;E3=Hcnomgh*a{@p%x z`<=~(M|rOzQbS{QsFK_!?p}>cKL1l7Ko(}nsryV{FQkbK6`go|su^m-);N%ms8LAH zu$>pa3$S!6PI!0ei6MXEwI*gwxmzCjtNR6^vJG7V0>R>^0Z5ab+M4&F(QE3kcBhHDib zPj_8dgXB9F27a#vZez}&P>@lfP|M7KxTo6Fs={4OlChz+e+AjRRPJAq{qNue)5*r3DNnvl#=+q!sDG0PxJH2K+dEy$+XE*r9H@iSWqatz zMFwuT-e8+dqd~-WXOjzdlBKMNG`}gTaTA&i?DLLFrD3+Fq(fVGuyraca`c>g*n)9M zD4N3k9PfI=dP2?cv>of;-%AKedaGsZ9;8pjEm5F(YoAkdBgZmBzAdQFI2m}EEA;LQ zBif!0ux2MlOf;@HH<`WJ)6_R$?btg+u>9<}^>wS}+5Z%wds}4M9*daG60?0G&OZEk zm-&IaKU7Eg%OapU3TxQYNUFOqZyh~GK{~M9cV6nw=ZTJgB}l^zVE<&Zn&xMGAZ6D? zAyUP~JpVx2_&W>XioO)e?7#55wmM4B>{Z+$o>}#}rgZq}bQeujCqJXen@C(XBJaU~ zD#CttgmDdWP?@jmSihwDb$xR#K){GDs}Q@dEml`xEdk;nfOL%2dhkhoW&HW3%#xCt zTI(o#R`^q;yG-rmEZNQa;mIKT19nAZfpce=M}6n(1zBj`2u?bC68+=0|GT~n8Ncyd z*4rVoCPg-P?!IVPA2=)?UNAi9OF>Ys^8I-K_z4}QWu0O?hl%nwQV#>9ti{EDJ9OP) z_DR>a4fGh@$MwJ~s=`O)6q{tOKV}G6-y5a$4KeEDJbM;Dfa*7I5GJhG=jh_#uZMo9 z-e0(DfH3drOv}%92vT;>JjO+9FY2Rf_L&|Sb*udHV#%L{(0)>|{31~NT%S1(Pve$+ z9kH8i!&((Sw?0Sjo2YBjMjq;zrZJ{UPI?A_ika>ZG}%axciOEdI{VbrPf0cTTw#=3 zp*vSkzwfy#nj4g}1B1kDzw!P!=nOBVp3)NMPfiT`fl}lmFr+2!ZikE(O6njzW8tc7 zO+Fc!_A9*LT>)a9e%wDwLd;SACR)z}IIt=?AD;Ty#syn{cybnerdvRV>bUl7CYSAb zj`5l3J(n9~u|az=L7`K@C^=TIx`v)=*5d@l(eB^+n^kid?_V@=g5f7+bQ51#V{BoR z2a(OH8cnJ-Kw9$jsSIA6{>zG*2jmq?U5w+pS6(ZZOq0G9FSuGv4o!R+zbYZj#e05^ zo7x$uV$uZ2hABq}XwgxNbm@$3vPY=A`Mkc~IJ=3Gi`kQ+!OKvNHQz33PaGhGx{L0b zC~f9F967nL^`_n_9+FZzTa>bzjIAS$^-Mc3>62m#AtH#{9BxtXviSKscPH4NRC3c- z4VeTW2$Z#+e>_$T7M`z~upzf$it0g5c7nVW9IQHs!^kbsw6Xu9**B&(n+HQ5M%Nd=YQ4KKMQDSa~x^=9Oz zIK{vul%?qsDbNy&=yCnwfPUS}@#y3F?)J0m{sABLOX&ReZ#^n3nw-6L6h68308y%B zq}%_7Ct9UtM`OhChnmMS4#F==CGns(2=B}^l|Pgi{m1RLu7t~dnrJ+YPY)7DRwUNh zNW4FMeX(4y`!Cqk;1fP>$I(XlGCLKN=NO5yn?gT1GW%SJ{I_X}IGTRt7K$~0j(y}1 z;o-F<%B@XCK@HiIW>I^5ZB#!eYZHweu#fQE~MGVa~SpZE}tUj>{R6n%PS4 zZZf@_hgHMBgUkL`0h5`UJSKFS!COSp2!Wp3g-EW4oAMb_Bdwbm(L+)$3 zI@wDPha)KSkL*#dSCyJ@vQ6S>6n7%!uO3!|?`ca{>e;4{P5%%5SFIT9zvDWGaqufx3l#%MwCS2x2Z#~h27i)S ztryFA*_YvBYp3?zY<^OEJdYQf?1R-sQ;|9{=vWlmmum4}h@=)kTF0x8lVyfVUH6LZ zfj5*FOO`dWuyT_LyC_fgZ`3z>arG9~q+)7v*VCC1KIA0U{9t7L&jYGe>Qb0i=cxQ~ z3`!g|xVU%cuFYLeeP(y8Pc_*`AHP;?o|mz8c>YniCO(*8%(H2lNg3+#Zs8<$_Yi0p zF9{r)v!RMr(C4qh7n7Xr?#zts4L;QlD_8pcRL#)$dgS9@7UILlyxyXG>{{AReh;9I zX!b&}J+e`SX8*~!S(D^4!FcHu{kI}wuBa|tR|UStFCU*y$!_J;Eq!|~CjIg0dIk4~ z#b>c`I?X>6h$C^P3} zeK+rK>K(oKjSoe*RYGE6StN7ourrz&4kIRaaM;5i_f|r zc8}5n+9#c3O1ebpKG~w2c{(okh}gf|zpvp7pY8j+5m{l6aUQ?AzT@t(e=Yn^jFbKB zV9l2N&w=~zX;$#7uov|86okN-ZYU~DUYuW?8A)(O&j0Mu*Hp(030xbRNj&7*UX0ahE8oT~+NH>a&llDBdmq@NGmF z2jo6)mLIsVvp&c-CF;908@0>y{yy(-$QKU?k8q2;BH~rNp3ec1$1xa_<3h<}!DGWu zm)p7kStns@%LX+&pz7YuoRE!XYo>d5n|zgv^-$~5d0Vr;OH|a=T(42rE1T0-YlL6( z`5vZ6_k*IEF*CQ}TL?o846CpDxBIA#iQ3-TkT8yii?YdBt8DHeo+SzFKhE;;fkJ)1XaGZOqpZ;AQ7fe;~_ zPcJn=UmyNCcK6!^uL%c!A_ft@9hc!vHPP!7)x$-bul6Xp(hfbFw2E%Wz1PPV?Q0w9 zJg$w4{i`ZmOcx`nkoF7l`iu;2+Tzsug!_V}O3q6xI1_Nre`3G0A|{#sNNFl2g%Lyf z4r0_+rm{(4b8|-MrIn6m^97QH{AN^EY+>)RzF1a40mSz1Oxw<+0@Rv#FSxV%g|7b) zb3nAu_jLML2f9|!U|-Ye|B>)h(I36Y7qf+N_-W&h7`n3!83iuoHC1hb;JlCT-pr?b zIaVh+XG)3CYmcDg-|u|^lplWO<=jY|A)qrrnu-h=>UVSdVhOQTY%wAZ&m!)NzZ-~6 zeJ#PvK)=C`nb0HkY+#ldR(JzBtvT%r^FzHe!Amo78NRJSVvnq@_Hm6fj(fj`SiM^U zpX)luyloFRGqJYayFA+}a@jKkRpzl8H?9Qt-P^!w@OEpuCi_iUFi?;0LDMj&QMT|W zsled)cOm`URxB)?MnMDNvHO}^)(vl)(jQeBIExn6$=kA-5j53+3%lozy0Eho!u`1d;5-OqPgWie!L z*%%nsMB8{CzH1EhJR6OVmeW-$891!lJyt>Ze7*Uu>&5tqZ+febj~EMWGhI>8qXE{m z>9^U_M}ml?EOe4mN1C5*h|oBXxKb~t;n@XbnTL{!O4G&zHX9V293)=}fAWhaaeIPr zbEjW1?lAasf2sIn;!dHe2?JtQTa2x3?RMs0@;cSpKKTrpI8apEiumD!g~6VE)OCZF^u$%*c5PN1 zr_^ybsg=#NPJIU|z9e=zvJM4Pm8jMBlMC@>%PH(S;K)=|J*UnlzZQHA7+uyW**$39 zId&t8^@zc9>Yue@$Qn}LdK+D`?<(*hpqcLZZE~WPAM7l2k5CbRoxWiFD~XKM%;3?C zAh2GOyvL+)!Uz@CBhP(n-jMVyV*dN>N>>uwcA1u#>tqO)>;{pqcXW|{YoLPob;j{?N;h}L<2b(N!_I)fz+0xfmzmvZ1fRiyR=B^9Js z`(|ml0MiR~M*=UeD_3n`)kda*x(Ktd5+7c73ru2nm9*zQ<@*VR-8d_SJtIvkZmhUbwXJZ6S5{u*dq$su@$97jgYiR|)m2Ykr_CKMlMGHQsyS@^=d;LN|3n zqA>3CbH~5wPriuwKHV-_a}m7vcJ78D=E|^nQPABvS^f**a)}ufZ>%esWX=L9=aQ0` zgO_3`>9m0q^&R30<^y5LhtdFxn|wCYJ7?c2o+2w2xV1`s?|Pl*NL~8i%JS=!v}*eI z(GbOme4sj#MxD*xa#0xQ)-8JKSvoFJleJ9i6CW+D#W^saRt&E92?Y}vCL z-run0n6c{_3Hgg8khhYdymv~7III4#-N^}#@6*)_{NTL5XEF5E`ZvSBF>Ra+bNIJ0 zeA#J{Mcg>^npjTFkTj!O3y?#+(&G5?AChQepL^mu65EJV!+S)dzE_`U0^qO?zs4Z5 z81*8=$Sn}zuQq?haUU^q~ zEi~l4C?qt+P+l!ZNtmiTHqIEAn-AmYeNc5-H3kJ1c z836_uo>r2lX^4HMonPxXzmq*-y}S;ayfr5phSqa)*85}2*dOBbVpZb(+U#Pgb@tU> zy5`UGl$+wW%(_{8t>2&)-3#XzMl8?P<@}OS#2fl+&e(PBN4Ygi**(nGw_k+%WT;eR zZ*gH`kA6gn;gTF!Uabkvp<(7+_F%X--a53bwb(V9PWumD^C?v_@H@)0R5`&66EzIi zo{=-5WQ`BZfFg(rG8%rhlHn|X9QrQGk0Cc7jU3@-e9WEVNXcYSl~-(1RpS;1GgvPB z;dDlfCMyWLCU}0bhc-98cF|3lO!L~a1Z*MHquXh2Vo>ydhFDUo)>h(dR}G3)K!Pz465 zLN%ijCp?v}p94QFk0$Qip4&`JOzoRWOdmA){`;Hu7AGBzGNL!99LK2*!*4(wc?%-; zWv`ulx^AL_^|7-)gSEP`%X?rRdDU@o&}KfTN{|;|btkXbOYd&oeHLoNMTjrCmi>ge zCIb_~M`@|sS?^H11@5xphc5q#K{WzO!x z#b{;d?gZWxT9Mh)MQPoY7**4W>I2Kl1_sZrq6w0}jG8P+-kEDjJuC@{aP6c?uo{r# z`HHX2-(42t(H+~3;)JzqVJqP-TwbMBL)~9RlpWLZi(+d~t!%!D9wF>s#bW3DM8#*R z6glldL917YTF#g8&s&}NuKuXjuAbE?qzv53>Honbo{w_(bJ=+E_el;6XL3aW-= zIpz5aBopSo2>a~{-(Jjk=DU5Q$T22nClnye*t+w~&?ZyAcs|mo4&_nut22ZeiHt!s7a4T@^j1{vgSHX}L1L}xbIw@Tw#xCGCLJFI2Q58B|JNB?}kJ)bPrp z%zi10WUIlHp>tf6eS1<{#2hUB=}>pcmw7)U|Ef*EYVbOiDsD?~w!4bo-%^eENk;YJ zPe4HDkBsI)imI>9%L^L^2gJ!UoX(JZK59jVJ5baqgrqvii?l#M!3~JiyJE~D6V|it z)K;79y#?cbIjOZR2$AT1XU7wI%Kh_)IImA(>z^B&CK+V1C2o_?6$JS$+iLxV-(1yYPQDU@3;*Vc>TQci>$m_ z|GK)mKX?xxZdT)9B}Veu*81$Svp>H`*C{xZQZk81h;9qrYi1(*j?*QH zr^wpG)^4uhX0|c|lxsIoN1$E{^i^vfa-bQSRO$stFgiv?`)b)ZUZpKZ;qoMaG6dd} zTKGF~;5Dc%n4>T3j13;`8*Vo8akLZkO21!2C>&fxV}WDljt&IEmCjARo~ zD--E_`#D;@C>+uV`5ui7>E4+uU0`1(V)n4b!Nv8_%3C@=*>m`sAmkO#tXVmDhWwku z)Qx=nY0CBtTL>a6F{xRyE|cEVZSL_!X6CYS0k%#_UTaB;lW_SH_-G%ggvoEx)Ts9! zN}HO}1D)9Q^_$I*apB+nO>t0b)b#0oa%$=>wBmDr&C#s-3OvWf&zgjbS%>MNn?NPY z_i0+U&JB*);Cbv!6r5*$glCSZE)8@(18qjVR2tKa(8@2z3dG3R*w_TT_OxCXYua>7 zOn)IxL7RmFAr&wKL0KEm8wr*I(u8d!hCbG+HX0OR3-wzuk<4)_@qSo2;lI#@#txANR0M(Sst?yocgF#J>~Ee&L%HN{+^H5F7k?{;KJ>ohCCQ;S17o#*%l<5M#0FKtrjx3w6s)OS3G;U zgtqAwZ0l)}P?eDMU3+4LWXU;)hO;F3hbr2cmX*oUxjul10`>d)JSI z#CYmTd!~BiyYn{8FqTF)A+3Xa`RN5PkML%b{$QoyM%D~)h9QS72YD{SZ^|D3p9^I3 zA%?ZAIZy_H=w6N>gO0Biyp(CK2SX}^Y;SMD%icgkL$anANQjdItt>tcP9soHkz8>SOfIc42?-_0CyBCxlo|+uzD$#iLuwqMpg?J* z%LIhBf`?2U&d-2jOZq!^DBoszqpv(qPqoY5KgD=3{h(8(3mhBBT0S6T_D1zXD&QlX zmw$eQlK^pbvE>Cwg*j+o)dR>3l5ViKxA!ZC==@^OI!GOdZLGj(-YjmDgHmj`)604s+3 z1h_)lKuJWzrx3zd%w{^v+7rVAq==syV2#T%p!8Zr`*?|-fkDx=MhmHV*}ePx18N48 zhijYvgc{QI8TxM){Zieg)A$g1J@e@1~oR6_f6JT|mb5Yv?CO z000}nGzsTv)gUGH)YQ~+G22XP&v&KZr{#Zw`ECKObhiFo^otJ#I(ad2&78ijQbu29IMR1ojlMHt(=8-?_LORhk$^<$zrUPI{(8X z7fS|ppDx2c$j-&Vbor*1mP%fdw6QubAqvsJABlmsLe?>q|Wx}v# zlJYsG18aaNfNnBApxvwFWla0s-mU-%0#isx1siM*Gal#zIa+&9Pme{+gCNl)B33<- zID-(u({v(1_wsD$Gm8Sw(nIUq{03V+l2c7Ia$SanIb7EaVTzQT0Y)R-U15A?! zuKZqGXXk6)I9V8$&Y_>&N~)^gPFsa8<&DNVp44SS!5(=HprquDdg7HN=^Ow&lL>um zWzOgdb`-f1bj=hY{0*>w)apD1fa}TLLAZl%-KX5y!q9`FkQ6}<@S&JnBy z%!;3^%8^{IR$i-NQ3Y+{;-8HT8EAKI>*+B%SRIm%<1J~{{}Mw?Lkp~x(Bly7W%TxK zzERJ^YuB%@z`Nh2unUF(EY$gR4N4?;-90?oy1P;9XJ*I%XN)iAbP?}ys1_C;4%ZUH z8N;ZW?;S+URp@$Ps`7CW7mRk)keG{`+dzT7SXoA_>*-2b1uWH-=^8#5o4?KY+9G)) z>}JD^$g5$BDS_f?A;jyP!fD!tW}?*MpBy#tx;Q!*%Ni7oeG~E$gtU`QR_-|h@H@bD zx_f7;(t(1S+7Ha}9?VcQSl)VA$X%;LS@M$i@$i}g!Y;fuffWs~hmrF%UQxBy`;Xef|o6@US zvtgE*_;W@uG_Y2& zh=|4wX^Lysa;uI95-t~3S;jFWEJea6fxFc>ro}9;M%m~DoG&<v5X4+_U`UQFt;fxd0No?)6m$6Trv_eG8U!!mBLb&=5OYYoI&l_IL0s41f1B@ z!;OyjH}4XiU#e)i_<}j=hsR&MTS%CkmWG3e_fk!b5G*ptTC02ceN z!K}>G3BhHxrhzIGGe~kW@Jfy+W-b@YDY`p57gA#_=aKL;IG-NT(tZNh1C{g&`NM+N zhksP+PVwHoduPAW?>lp`>EtkvWM2ce4QJTbuoEtKqv{4LP*wah4v$qPoL-!tFA0ea za6mK*=RW(Vz(9cb_#wm4t-7n}f~gWuON`HHPFS>g6&7Z;%e~~M z2Wx20)YXXq|IZw}d^+j6hCKg!hjfeYNq(aK#%>fG!|RZ#UikL&?)LU8aFP@x=}PQZ z6dYFahV(-OQo*VZwns7yfe!5u9GS15J@anw=uniTdurH8Z~#*C3@H)3Zim@y1n8>( z{wiw!{rlC~;fA7B?MW&!tKLvt&1J2kXAkkb4+EG7a zprw5U=jtnD;fWXEhsdu&RYp@-#_g@GViz!kuRq=+Q-&|g-knzPm(I`62e&+r_#D8t zAHe&=2{i~k&m^n@P+7`^3WzBfKGUnq3sdm2+DAr4Y%qXDzU0t@2?XdQ2RIJkK-!6! z;9OX8%yA~Nt%*5fW=35Y5{?XhmD=6 z<#pkZ@_K5)5L%h(@Y4X;z88IHT60>44yi;G9CW#u0d~u zNy@-V1i0L406iD>6y`a;W<3HB!e&z`|m_$P8L4{}pb_yE=2S`lnwQJY79oGp!To7FM zf^IjkMg-i}IyE+$7G5J@kY;(WESGnHG;%F_YrKR3*o_h2xozIBuA2H`lCG+5ZEeZD zem(f~PsMO8u`u1xj}4+zyDD{lj2bPOn(h%^Pkjvwq3&~1%jFZ91i?5U*BDW&gPw9E zK__epB=;kd#WqPaXukGr)2x^0YgE*qxw*a{7BBaJnfS)~(^rWukh{yB0EmjXp59{^ zYx56v=4;?ms#Q5MfsG*rD)>3Tjq?HV3_l?KQj(KzAax+%bWmUN0B@x4Y;CM)NlE|2 zCM3}B;fyiIuv(f45ohd1W~*uX+LTj*pa;Z(jUVrEx&5!_=H4@M%$cc3J%9K?paR*8 zurgJ}g@CRDA&8KcpwemiYAX$z^Lc%*f>!!ybG0{unt^8xWf{(LhDH;72x+;S;RtGh z3`8?f1d((AT@OpNv^(fG1{=TxA+7FE`pE@4E7ow!A(29hh&i-7D@fIPVx+O8-d!FH)8UsIH}e^XhL)E05hv$x0W_3( ziin5|uH31G9G#dvXFa6ye#v?6;vi5lNq&R=5Xo9Z4drt!ru|F@P$Ft*Xt;Ifj%jD! zPvdJYwiMrib|@H$TD`iQxw2#2J3L%Og176=|30~mj-Cv2g6uMd-iM(HDggQCK+Xrb z{NRKct8`$fsHgxkS$u76ZDi+qy!);Mr1RitO$EAVfCfJR`ftd&45VKSt@b6M!Of`H z*>NC_0nc$wpe~i9uGRzWMyrhg+|LDCT>4h*9X6ARi4+y9AuNJz;1AEgdp2_w54<}N zHbEo!UuZP}z3iMmp)!UzGsWB}_FTK1)7&K4k@7Phqf1P#{c|MEGBg^jIX9HrEy)Io z{xJ~nMGBE36*xC5mJnw~`JC?xR2k19WHvh4{fh{u$%2#p#*G`+tAliK#Y00^9`f3YQ&CfALVA!6T*Su|6hi=Cb80Q+jFq`K$n#PHpf%EJ!S6GgnnX$f)#0jN zJ$xCVKrbMmi9sf);o|B_{|r7$qX6qby)|#k12P3lNPqaeDm`6%3XXL+wxk?Z`d?l^ zCz>)y1}H(SC!M5!x>LKhW}uh=@0p1Vhc>6G7{c3*1YekBf@5*XF~vE? zwuWf8*6(3m?b@+E##m2DZga|+$?vVnlJ2cmp;lyM2Y`aD!cn2CbGsCin548s1<4=+ zR$+LobZE9xynu1dDY^iXgCPj-pQJ=wIO#x`C`p$B(Q6uCjDg0RAXX zX`akA@Z6O2^b-Apf|Lph3h1e*Uecuuf-FHgWDZ`tyH~pcmwuje?m^8JJfU)Ye0-+Y z)#YkRl$HVz9ny1hDtCS7QH0|u16UYbkGx9uj=QWplaOlxf-fZng)nI8&07`dj-1wB zgI21v7;c++B~RCeXh6r|%;Qy^wiq^VG=b}py{{<%nn!!%)t z&{tu~O~K>KtgKXrF%dYLO#1pnTg%G)pr)>th91&38&g#(bSb&zR}68j@SH>NysrVL z!0UBcedpG#SK2`KRMVQVbrIzX0W*m{&*w#&r(D9t`N&>`{e63BY8*%?EJ8EBqvX3e za4)}O#Tj?N(5;LXPzYVD$gOE!{i!Hr)~fyu?Pwi*Th)qNhhE2xWJq>8$ZbRVDt$U8 z1@b6jHV2SDfgqmp$&(O3heLPZyN@5y{bK4vC~+ zFwMUqgp?B&zNWLqcJXKKTJGWH__VlCEp^G%1yJ^{O?gR6cjEQvgG&a^J=i@$&=9F9 z&{*M}v~I)*KDYl!cjy$zQ9EXNs{0 zTLl*NS_7LVz|sfUpf?6?-pbBfKLu3lCj(dX0Ea7WzvgWQwwXX7@ew#K^a-@>KIP;j zHveD1vBr#PI+0GPsj9#t7Fb#BJNIB}!h6f7Z{Grwd2z*~PW2m`)A>Q+dU28Klc!G^ zCrqAv7+3(kvURI{|NZONr8{=~=qfZ#`_BOC_jl{>Td-@_tUGsN%<}GV6r6p`aecBn zaNPLfF;^EClMJS_QJ@P^y2W&r?Cjz z^S->`FYuuHg5$E~2EfjniSJ`z7F-0ZVM^8X?*d2NKy90{BgpZ0_jp296BA1I=Ho{XB2Rj2Ttm|35yc zk_{T4`}p{{u&}UmMTG@$59jgo=ikpdF1T*_%40U=!oZ&Qt%;K+2?1|WKLH$bd2wMO za6hLj+rw;T$k=!xE3i|j0303w4Ke~l+cW91+lk4bIfS)gz%Dj0?AC8SlVb*o0dZHA rTTHNNg(cgk5IwSvr}vL-Z2nKZbB(~uC5w*vGXR07tDnm{r-UW|pXla! literal 57684 zcmZs@1yogS*Dj2O0SJOfhtjQpbO<6{(jg!q(%r3uh!WB*A|b7GgS3=%cXxN6xqRR6 z`^Wgt8ROwmH?Y@Qcg%U!z5V57#W3y=-a$b@!H^IaQ9wbt%87z<!;_9|2D44p)*Ohd^AI2ysQ?(KzLP}2YYvYb?IQy5sw^c(q#^Wp` z+dc?uep`E>QH&;{B(L=B`eDO%BSw09`ny)_S5rs+8cx)2uO z{g5%_1+T7eALm4oSA0-kP;&nJDR$aNW%uBf>q$cQS_1$59>yne3*;3cBY6=Uihu9w z{V0^^imz~OIGtiUNfXKGe3XvSU@l2yWF!|aZyYc2BMOS;p}b^?5^jqzuB%tCN|(zh z5^-7(9~>Mk+^sjlnCE+3lAca`|IUqp7y@7MhVB? zn3av^l$_7Z%oscQcF~zM3V)A`5Q>S3)z#G_DvuZ9;<>D6A_c=SgmiTuK6tQynuUdn>#LGA zzxuN#O*u=YGNj{Z9FWj-|mOwVoFN)wJIDMo0>j+`$q0gviAv> z;ntlybt5COU0w2b$pp-{T(shR(eRibzxji;wzjsly{$V^XgtQ}e;TFZA+b48Wo>I) z55EpS9?7Dky`cuP&r*H#sOJ2Dh=j-PH(VEkh+`?SBJVy0CufwZj(Y^$M|O7h*4EbR zu5UubJa&Ix$F)T=QLwY$Cn6$>WjC&y4HlHu)6?^94vmifvo&3xS5neEKAyli;dCuf zRI!Cd-)N%J`6Sxi&CO}r7Z3fD-nFY&kGASDuUI)c))Fgbx^pEQ{`J#+JpcUP`)d0x1c9a&n~hDAg)!X>S2 zZ0d%GWAgNyv2k#`g_9nqbEIdVKYKCCzTlo7Kvz=}$6@}6kB`{U&~R;i-FUQ^X|r-S zsFtU(vC-{l+7D*!4lLEPvoojFoRZdrM0maOV8pbvqGEPx>h~|*`ck)Jn~2~n`cnd4 z2S#|Bcpm%KsiNl}&}$nTeN$2>Q9Le=4Pp3s9oD8|48PWPbYQ@)g0-)>?3gQ;C@?fU zJPq$ubvV)Hk3-X%<9M=XEE+`YUs1u!!NE~zJ{svb>5lhhR0-K2DD0LKuRQNIG&Ww@ z>Xj4huJQEbr6pE{hc+E3=Rj*Ru~?ax%7ZY00> z`~X*AFiVxC++jWQvVy)@?cVres_RcXdftVlC8LeQYg&CJYFU>7Z~^k>Znr9St&+jF!%n+mfc z1q1W#y7=xwN5#79#k3!pWOMrbIBPN@DVD zy@TIa?2Pg_p2u7M6GDM&VcGeWzvr8fH|4Vv=mC3}3Ab^m#UDI)(9__LlX?T~f%xU= zz> zd>NjX7ue)EnkBL|6UFAEl+RYi$_nli64E1+5X)-t>5Zu=gZ<{jIQa$aB*}}5i<6on zjhwy`OC5;}B}pjrm3!+YlalABhf!YM-c-*{mVYFo&-j1*NPGBotWrjQ!tYb`$*Jqv zk+npQiWC&Li0X?IQ{!5%8$Cppl@IsVM^$TrM3X~MF-aMRM@A%nR-a_dRB zVNjN89C^xjX=!Q2S9*U0?{#oainCO1d8H`Pr&hb4N^0b&)NF)ONm2R=KODCo)aogj z^k6_{TH)EVcXMlNj9QgWFKZ@3D8wjX*S2(Y$he%Ym!xi1pUS#GK}do6e7+kjaFTvq zyx?s|PvSLaXXj8#iGS+?+N1=$7+QUPplQ4{Rf|pD5yK`{6O7C+vMNW4On-QuHw6+= zNt9o>!?Z2L7^ZZQWWXcFZL%U|{*;B3ICziwc zFBG!+6@F@0rNCfG#y&NTyiZKb2rHJ3hexAETRFFcvtry(t$#A}(^763XXXlbSZL^@ zr{*I{JG;AKFjCYViGn(W9A?o1vI%>8b}gf$no#FM*`b0OLw!;hEjFiuMt8m$Dy#gr z?GyXR95pYm=G9iMBYGSh9EvMFu%yr3Umov*5AkS#?R)hZEQldp{+MYI@87%k@JbI%%U&C_X(|>L zmgU-;WPL2XTKJQ*lQsA4Y| zYIh!gc{CfG3jJOjK;68@D?7o+q@*NNiP-=GHmC+L)>QB$V`HychKJQ-VbE$<6%`aH zX=rG?=b^$y5EB!l=dy*qIT}Bk`OHFp7804Vlju(=(evfu^VacO4oh80b(_5%f_p{w zRe%2ejf8tn8PxF{e|?Nxz*ksz%R^}&KPzs`s7NEjesuu(J@kn~FR!Z^&btdpP1Mf<;|Hasr6nB&Mg8k>F;Zs{8ylORnoR=(1JpqtiBQX1 zeEj^W&`XFIe_Gh|8fB%z_ff2@tkQc_{d|3Ibn+j@ zd&Eel&ZI_Zv(Eg%P~LYhB~f(uv|mrZxH#REBvNG2EDktWAMMT6;`NR`J>10n7Od__ zT64D3hWgWUzh5=WPFi^!^Ea$}=Y<%^^?yU{?PMtsAe=@;HP5r@k@$VCt zJ)_)LW#2C=q4E$sevJZe-sKr(=~(qNGOtEid3<91FM&kp5x{(W9y{7lN&+`IKXd|N z2Z!Q|N|g+y6Vn8hEGjm(u>5>hz%DLrD_r`0mnzTu=a!ak{n<}YwqEX`3YRn}`^u%Q ztqrUQ?t;pDo>NB+pa{y=?rxUVamW6uWNQAab8EnRDCjG$gW2l!09>S{r2~ZAOF!sK8v$82-JhKC~#>mzxlgUsFr0QCR_5;59Z zTbG%i2DTm~t7I8>e}7SScqR)qC1`EU44@gkoA#g)HwVXqZ<6{$?B*kdV}{c+Gj-j` zVr@CDyN*qbjW=L?OS@C0qP7kWm^pK$UnI&XBh!wn=;0|ANZ1I_qZ0~kG@mo;HB|K1 z(DL~9x}Kk;9FCRQ0@lnNJ6v0cwqLXcu#WNd=gO&a|M`;J@qE-7;O2&ghAk)#swZEI zEyhQtEMXZ|R#ok9_Ltc%qU=fZb=VEEX|>Rc zp&+0fSLB=Y(;sY%O98R)4-A}##nt|mfAlrKBH3(*UE<(So<4&X4KFVd9$wU_wq>Bf znx(RGiDQK=H9vm>tgZ*luhfh&XNfw48$aXi_N(ex1ICqAJLjV&pBbN)c-eumw>|zA4-@3a0@3_SAApS764vKy7dD@n<^FtbALi$ zcl$v{&9|NvMH;2R<(aKYwpuM<2Xnjl2ohVZ{(mKtsY$#jnSQ>;gf-% zXzzczQ(|xXyd&0$j9#IC^Jicn2D0p-?_~o^1%mX;Zdu{vaI+J7^vet-D1KgEUeVmP zZ+%b8kJG-F2aIfia35d|TWZ>~b zK^}_-0P3`<9Vca4^~418K=G(HRBo7@Bm)Kpi@<2Iy2``Z#Drd5UH$0vG>)AEUWbyp z=U9Pa*!lHF*P+=l?8;xo#S4?3myNBhk~I@B{&vl$hoCON?JmL>4HHu!vsU?53r(Wc z;ke^!@IJuo`3=g>cy9gt!GN}C`UrIV$3XT_ zAKNZSr^zM$g#y$DxD}tviX3P)tO^SFfvHG5`*CMtA|g|(MfL7e<&eyco8*Fmi8P6B zp}&7Wb2;4TfcEAz_5S7(l;1M@&IDeu8jtfm&&B!qkofp^{=>24NtSnhe$7lZhvmC- z4xHu@jnyvuCIAB9u|3fxu^BQyWv>JqnrpG301YpN8mm@pM!;tH_YG19mwRuLk&&JA zG!er#NzLHIj92aEzP=-4r<|);Qa+)QmVY?e2lbEN(2hTYov_0^*!g&8zR;-K3ztC! zpV%*VFpG|Tgo6{svTFZf;3>Z*0(Oj^4xbnQS)y{dh!@qg+CbSpDPoF-a53niINhy!pcJhZuL=f2N_ZzXh0dAfj zFdxpRg0>2UL91pBrfI%BP36Bmj*X42&0N!wGyC)+keEBPp+N)$CMApUx;kNK8&~!O zA56OK2G;U$CJshqtazYY9M)XkBO~jaY5W|+ZA*RS%9Q{T-r~BAQou>WLuwk9kwX_@snJmei5Szg`> zdUrgNRhJ|-lRnze(9k33z1%i)w~|EzS)C@L^($kTjfeB}{XAkslj&43a0m${Va*=z zw6V0bwK0^Cj4vujteP9ppQ6j0Yby8Kil!=TPkCeR0H#uoel_Vdp0ULCF(~LQ)Kk$$ z2Zq4%xio{e$TPS~0O8Y5(B6px&-43+LzOfBg9I^<=d> zqjqI96d$57`xvjHqNhY0X0O+V@&Gh?@2?IPIIL?RqLO>jKV1Q~W7%qM1wOwEyRoq` z=x0$XIU34CY0309wzkG2g>;zwdsq)2J_PVm;Jo|xU~{q)z|M_7*IE!J#CJRw23>y( z3S4MxY%4s2%(G`GKdTO6B_^&pIyz2xoSLV}CbWVK*a&(Em+b;NFx_O$5(`ue`@nmI zgm?a6%zc1K09X?uM*0xM1;ek-AE1ncM@QoW;R{GjrCR)(pg){%;07ofX>Wk9SWO2Q zsimWz0mDXa9Et!jw~Y@#&Ic^oW}&k`KP5f)!+!9fX|5&A|MO=G&_7_)C=Jot0BUKE z=MH=L{KHnCqFhL1WRuqoG(foC)$jS`=aC9>e4YTf2oYo^TsIphCld<`*`fW5^`^<( z#>BiitJ&rRNT0K%s zV76KVX_R6zHw*#3BHutdDpW=k8-JxYZzwlwEOd*UgJpLf*b3TbGiaSiNiIE{a4mD%euVabk^J%FUv+POX#{NO z^rIy3yQ&}z=ROt|IdENssogrBqV^ynMI~p-`lHr0+J<0xrkIK85z+_U#a0ScvjMM@gAd_k=ox&bQJ)v3a@IDJCK!4gwu*$z@!H_G)_aaAPu?jpZa=^&-2N5Olr8Wh)1g^X~(pbS8fa~pwn zM`GYE0UdDgEJPZvB3wvX3&QxSJtU$LehmLP$nha_tE&vKpuL$JFVA*^5h+DoQ&S4MN)HS$^EnXk z`En9aImKaN{+yedBENFN+>0A{{79n6vFZz@gv(l9Gi7dIFu)8_{TKB#4NXmw*KXbo z2QE!1CnvX@;5ZS&0piQ_6EXoeHNq!)K648T)PTDr;8A;^6{Z4m5f6PcwqN`x!u^Bt zc}}MIi_M}Zi_#`0nS0DSc0kNh zrUTg-TN+CJyE|_`nX)`s`2x@|4^--2gI~hQICywsP@a!LpKI+nr|2UA-o^%GloGfk zC%%v>mJe@l`sjZxtF8ZsW%a$|f1E1X|1qzO?Pd{W0G1;{-uI_7ZXga;I;lkHpN@{k z=H}+ttn;7P%jc-+=vvtNTe;UeZT^0!v(^;Vw3sp<0y+YrO6E z`)e4H7zC_{=1|l#cpnc>@ztyBOI{k9A8BjOj<@pSdeLBrU*iVZmpsD@QxQbyA#y$`}glp z&CYt~A9VHJ*vT|LNZD!}^U%*S4PYVukuex z3zz+sMrfGmk-&-lwX0lW=pOx>&=tZ0YEBSQfx2Sh;9UEoRi&?|_c1v5<{W+M6aA*8 zK~I>OGOOvU2qp$3`4)&F!kZ9NX5p3&c&P)acqwcwZ%LPLEHB(`q#PiY`99hlr{>B& zJeC9#rXCgt+p??7){w_>1O0c3MA*_;85^0~))kbNmX;Hdo8O>wAp8#`+I!g8bua}8 z2WKgNkLJ~7l!BMWcKOGx2W{2UCM-m?otGgf-zlofTJN+<$ZB(|vt*^i^Dj)|WEd6NuqJg&nsI%ti%phzT5SntCc>3- zwW~DN%|XfdY_Vk@{cnY?lo}XDJu&H^)gC&zYRzqpB0bFO`_fbtc_}hM>+Qf1rNsAd zDcP;TKJ9K3>dpair;W7l994)Z9&fq9~)u0B0GTi?b~gZ{hFxOWNUgtB$Vl|FyOz*!pd&CF2M zs)a2}nCv&oC!L~0`BSXw?|fw&O6Ab0x{oblM^Z6!xYyoDPBApj&U9?RL&C zEI=QgZ8hKgS#zNWQY}~xWN`QI!^7_f5p!St4LU^(k3Buq%O8MoQHTZHqLamf^Yt3< zB+op^l>O)J+s9Yr@TQI^xa(cBDmtQnZ}I+ZK&FQ)LN)s`aDYxd6g=DVuC+y&B1i-$ zp%Ks;tia<0uK)Q?SlrQ(Q)Oi(LTAC|XEz-P0MYPTSD~>Y;OIJlAt`be9w*B*j~+cT z0?Da^^bG|yk~i>id96CbjB=m$%a@_V%E|V7T88==GjoNR`x+6H{;C%rbw`)&*m0HU zGVb3wDREp}72{ELp6uU;{nHDIDgyhw=YPm1%s^x3R0C_N30&H4BldKq52uJ58pH3( z0WRKDZpFq7NQk-sFV)ok21m_L50Pt+sjbjS#^+EoU*3MXfVOg%J+EXY?50;~*_i0nwBTFc{oU7PV*X)N zAo);-vvdZk-CaSKH~%#O6JQLhrc8l|1pM$1cS%|S`aK7u-t}-}9#$-hnwr{Uhcz{1 zT97YN=eZEcAL!W9&y}QZdy)59-&DM-pr-QCFYu=MtC6l6bG3b4bT=VC1M|T~euc;49mX7vzqUOH49> zc;LvBHZ`G?A>rW-yPblT(xt*r{X>b8S_ymNIlSa`UbU8qxLNQ$kVJEFYI8ihx{9?`>gbX`B4|@by^sc&UP&?>XJ+^7`l~@$_wF`2@O0 zKD-p6MAMN_jGN9Vb}=H|vCsW4E<1hsns*aKNb<@1e7t(D9{l*@y+0m5MvE(X@^rO% zr=V>(_Lnl0C#!4S3!5Hvu=W>+RpYnH!-egeg zzDr7CnS9Buk|CQEzzu2`t*^LQ{Gd1mH_iIdtcbZE%`JO?LO!GPy^#a~J{r^!{i7i- zZzNTJq0Hzx;NUTd(6}5M@X0B95J%o;4?Ea`ftu+b!8~hoKMa+ z1y-!nHhC=riY`qpQ0)wjj`|2Ut1VCkKa9RZcKu@}olrU*+!?VfFS^pi#DeI4xe2`k zQTsCUrKb1&JB>_a&?7T?93X!J%sowCY<8jc1kzXx@h3v*1jyJ(IOeU*_o8V^X`-N> zVxqowoUz!E+-ZlgV^?wwJNO>L&hBUul;}NaJ{Y|B`TE=yj$X8t?mgPj>zZl8O$5i2 zgv4vi+}!Gy(NNm~WTUo07YL*`7fV%`o}c&iebHFoAQ378Jf&=2R#q0wmC2Tew?wg8 z0>uplO8SqIxEQ=P1h3!Wg^v+i<>)1o_1?zr>?09RYylhHcQa?q;wkceX$x>YVARsu+N9vznoU+GfPANEVFQgaIosQI ze6ZhIBbjy>H<8#B2S+58R3sKQwy={ESEAcai+M5a5>&(_1x|-6HR?oB9PGA6qEKCV znK!34790m1oV>comqn>ImdA05B(>%Ti>xe!-sz(N$Xt^gYt-u4%*?=QD=3VRlFyV3 zomzAypXU;fU2Vgq-&(mfJ0Ns}f>pJAlNbE>TDYfoqRF}d5zs+;21_0W@z&kD3uni> zBBG)bHbl^Bp1Rc3*4CnWg6$O+8HxHETo@pg^=)lZmu`m}E6yVkm*mGEb@i_8Oty&4 zEoPPHWKs*2bb+D_S_Ze>5*Fx+>ObsltU*^A}-Hp=NC<3ItPwF0f1_$$9UkXZr}Far^JM6w$&C zob))AN&HhvF zS8+>9y1}S8>4^)B66p^oAIl&zyz=vIs&K|n(cFS-C+cdoy`xjh>k)#~qAjca-@(jh zCkzxCjs5fIk4>A&XUSAOh+IH5>CVyQ1ljmEI6`Reii+%WniVH$DKj3lU97x|k0%C0 z7y=GW-QC?|(|r<}GbLLq#j4vyhX&^#_e(0JxUA=|2WLB9H;s5YDrP>2xkq!$%bHyS z>3h_?fX5En2>O|*Q#1O&6SW+5#&lCEBu#u0O9AWp zEJ+)esDm}fU6Y$$#+if!g4fi8%E{tFmu0hAnS zM#k(~YL2uwb~Xi0+j@{%&AL1Vg%C+Tf;5QO;bEvWebuby1OR=1=VYbWiTtD!dW{9Yo)by16$RQyNy6Ul)rm zhegQf?iy!eccmt#TFS{w++w8wXuTDvhTt1PmXa0Gqbw{e7Vc(gKjtZe1^W$>zbN2c zeY#2J_T@*SM=atTB=Ei{5^?`gfiHUWLg{$pNtaA+EIlJbA0`pYE#ZEERkrlI_sOHi z#xkrXtr)`}ylSuhqCvw@%H_{_ zmhrT^4tBOO?~#tS(lvhH&TjQ%Tt~uW3~xHg(sci|Qh~rvC}lGB2Qw&-Z=2I&FXP?*-MyEbf|n9!R^cU2hCfa@35x&%P~n;aAd81x zr;HBXxVx#6jIAmPcU62e{Qpz?b%x^cF9o#zbhu!Zbro zch=GNK_?>y3?CgGt(nVd(0U)bamuADM8VO?1S&=K*>GW)g9R_5L81Evj)?d2NPS%$ zm)+7A32z*eU=O94x96Ev7~Q5YtYP6%4aeEL0H2eIwpCx){#XDcB^y(m{kPaxibdQ| zyS+67q?_v&J0EWnhK z0qw7>84|>PKr+5_7b$Vsyf1{ryw_3xQ02OZCQfo3;#7K2~Jq)qT zm#ORNO7wuFe*H=>9nPVY05dm2b7OAKr=Y+#;y~8|?iK{4qL5e^NyH3@Y zyB<|S@$lZ#gO4Ruha~0Vr_4q3TcLu!3$V%N5{uk=Ce}m zQZ-fwf6_p_oq-|i&S=-fD<)h5f))^m+BGe!e8J{|C!3cH1}rKA=mye0*HKaP!KQ*J zHwbd9%dWO;$*xi|@mwL0>h~q{JiF&BETo`-jpzY^oD)-Em;Cg{_a#(Gcz;TttVByN zC-_lE?z}ZkDlU^E?92e-kZ59qyur@S z&eCWJ3rOZj*nJveY?;U)D9LMlBh#-}^8c7SsH7yU6gW6rx!48sU(Tkdrr*^z@$qHg^L6alb9Cq||2~76$^w6QeG2jbbw}Fij&4h=_^X zA=Mxb?jD@dK!>#pc9wH{A)@&b5w$_o^VaR#5Bd1wk(l1eP2=leLcqjBzJuAa`j~pL zGm(acB^W{^&__%k2_$_0s3hZGd|mLSpaypdYYWHovFBUA_Q`X|1NkLf_q_dYds&SK zLe1TqHIYPEX=j0FK9erd=Du6!oYr4+MzfEkBwF+PY_HSd(z_^d*5V9&PMF?e%gMix?AqShc?2Uk zHTC*$qM+QHH*-uS-9@IV$p^P>Y-}kY&grf^@qYtpd;Em4B?yc_!cvCd^J~=dm;R@x z`<%l!R8*htk7i5`;g`GwW-fol-A2({S%GJ~s$AdFSWZ+IwV5^O-VCW;&pN~XJIR?J zV%0g4W0KEibBHkb8z_99mBe1k97A&V2*MTW6%I_0QLkP{UTpJ9{@vo+l!Hlit=>{XtlZG1^>4Hc+% zS0gL=nzOAb^L4Bb@5z%VeEWTh$PJ(qu%<}o@^n|4(x!u-$k3fM0!%6RsYaR>7pI5#*p`0#d!;g6@~i2(uVNL7Gv12k1G zxCCnO-d=0Pch8*`8nf~82++5~U30&E`!-gL7!6^53K?LCz;@+ye>A(YA_??Oz1%KC zJ(Ni6GyyU$HhW7iL2vDVaQIF6S>-$^E=XFgZXRTihb%0cLD#UMOHT>Zc%+BZhgoQ5 z$g_5Nl3zNWTpn?5OcD~fD`Tx>jbw-R+&;u;7B&`oB}y@u(hZ4kncg@JkNTed>*L5gwVZ0JDzB29U1B%rA=CtRaN$B?4g5hvNX`E_#Wu4Er z+x-)=FJImRe=!AYtfvybj%go zkIt0zuXy-2nS%Ik22LIvSb$hxJ9t+zP`Q2m1L+8~nC$gGTYQm10ZX3SYU&++!%xy~ zWeMNY5BjP3nIY~llc*d-f5;3kUh9vEz691i_Lx4;vcnPDqF{}OTj3!^&|6}v9C8dy z&0vl3nyw=-&Ub1q&x64wK@O&YTY9{b_0zL^)Dy-Uen8KA+RCma8}> zk+59}NrjxOe!srp+P$fXQ>>6lhpVh8oJ=hdT6@G%l;bah1B{D1)WgSodlbLlLMf-2 zoSj*}DL@w(PEoZE07r1MGN@;;OkTcnAkG`kQ=?@xIlDUAn2csIVDXBsT-Z+1E)e~k z`PTjmGZn^`;}*4y?4^bN4#p=SuqRS1iw*tLUxmF5Ms(?YU34|QUQJGPWDy0e#F{JR zC}iR<31Yni@yXOq$4h>2S<<}R**nL$SP;d zL3}v1)xO@oswCX1KE0ucJ!Ag$Wi2CrL3qw>O=q1`fk;UhPj*>e<~HxQ18?!R;%;!= zfZcEdHpQ>i9p(*V>)`HDs3;;y@?XAw4XUVc%_$+lCWJ8&my;7qk`E_39#T`5w16e= zF2-9H0Ssjavi4s>Lxsh~Zvoj~XIlJy>*UmqU-Zl13*lQO@7E zJZ0)*yRT}h%KDjgII1%E@#HU!;h*GvRR0w|qkmL&1fFoNcKYh$!4MT`v;<0~eutL* zs@korCr|f!5)brVXw5HD%M0=bGsDLMNHnW5mMje+WQl+k#BNU(!-SjcfNqGGM5Lti zn%j`n+C-oUV6zZ}1p~)~ATI#n*9+}2PqFo%PQ~&W^4-XH=XJmW(x)M4itM!ZsVi%x5#_~5%>SOQ|8RDDu;WQT{%aCk5 z3a~||y>2o8pjj$TbCWbTYLg@^kWoh|WpzNwjyyxSWta)ow zv^U^W{&X;$JldAgW+96@qhVb0BnE_VYj`cw_){em6Ho9(ag#H&Iw zd!RC4p`oFj>@C+r7ixwOFOmZ>c_dl|NfIP$T~m%G*Z&%16IYalEOvFZd`YoYeGh} zAV#pVu^D#@e_iV6?tVGB&kMC0&Jig&^MYX{l&TOC8*B25@99%q7M7oPbar7;?>6Ab zJ=U$e4rz2GDu-YhWR^5?N_R^muw`!ZV$XN}C>|YMvfEwxP!PeU`uV2~`Tjd~J*?}t zj~CM$BJz~fS7z@)^?R;wXVVL;jaj?$)-%YX9f3u5rA(xGc(|-}^kr7R&xa4tG9H|> zLM$AHehJRl`TnG%rG1vcj;=l!ErU*NZ+fbD5T+9=2kqke)7z|4=*XxyxFbuHG53L1 ze^fwU(Yq^+{=p;N!g+nzMS`kXn zH)wGeh@v$>;-K>Qj0h~g0K~t1F`Df`WvTcimD-USY)Qr#5efcZL*v@#g}Y){(oIXb zQ%J7$;u5yU9Lzj1pVJqx3+@pUoAnio1`@u2gE2@_1b~hm@O$J4H4y>in~1{uDj_rk z+!OMJ{BY3N+R@Pv%yE#!X_`nylfOq4p3vd7D^sQRc2p37qVeW|fz9K6a{fx!=%=JY z>BjcDN;9oP>LcB~6*NGK^PlQ6FvV*|^HK^uzU}+wjrtp5Vd1I`*@Un#@31f&NYDkQ zS#O8zQSeo7Sg$dy4?i*S8#Y|Hu7<|^?DF&EwO_<7ht_?f(qGEn7tL*l(Rc!mW> zxs7()*+htXdA4SgwviwSs)|R=p`)!I#jOa|g~QRM6Ms0s3aJ8Q{8fKy=Qw;3UWZ=2 zzrC)1(14n&Dq|ir86cYV#FpJl-Zsd9n4*G<=w{Ki+Kr|Nv%yI58u9zIT#?oReP?~6 zHP5hCu0Yd7!Zr{|1akVJq=XY_s3BzBQIk>7>_3-*_$BSQxxtl5(!$s}CqMEKxs#`& z|AZoRw0RPYTRQr{eI7ROUw@|K&U9-(p}R!}qQb{;iVZSBhUX{ykX+e?jswS$TOgQW z`bc#8?yEo5&j9#6ko?Tkt5~mKoFP|u5qLV--hE5BqdU-2F{=EX>RgkyqE{D|QpIS1 zaMCxO8V^Q|!jBzsoV^g+LITFEL)US-w6a~C4u5N#TP_&o_NvNgVZ)B857++kH=|wg z-76c#sO8W&aAsTRjK_92Z(}@%BYtgBENuEs=!gjf4g(yKHw1|^EkNe+6)l@&BAv9{ zC9pnV#8f}!g87#u)YC!L-Xkp-tl3 zB1ZLmpO?v^2tS3C9}-Z5r%j4g*j40?v_`*i=j3>w&5;Y0Q91IY%p7{yn+2omwROVk`&L>o-;wjyQ0;sW>aJ9babOBN6dA=~!Agg@Ze9W9(i&{%TPjUEU+L z^0undb^7)4GZ$SRzuvnzD+DGG7^|h!>(Tqe&{5w%5^-0C2i$M^+jeLTpe+`9v40Os zULGy{S@s;;$AqnXPLz^k|2gQ#r=f>ema;ro2&E#Z&SP8p4fJy9k{)&!X#%q6T(zTV zlBW+pSuq88)91K9n~f7t3=xyo6jlwMBFf)%zsIJPR$z*eDnz@tZoVQB5gwEq?xl`k;tS@3a0Q5N3MYe&8KM9w6Q{<@rYl!1?e-{;%$bNVbk#qRR`z7&oPE0(yag zZXcVzC0yh`mv)7I;Qnew(!lUJf#CXDe;znO>8575uZPx+ZRHXy1b zb9+BV+=B4i(wxzq);owY(8bg>Ha!-ZYhp5+8VI+Uez?*GmASj9dlb9o2F0TC10SCH zr8(-SPa_}|eib?-oYw=Mfr?psX6N|o{OqLvb5lT-yQ{vTu^5mBh!4c_5(}jl>&ZOn zrt5xoZfco~vq1DgBZFFi^DEjgUOPz;xzguut=i^5A~8soLrOc9!12{3U7JO(RbEm5qf-gb6``CyreGdT>>_#II|m zmEOQ;jhDyZQ!s9Obwe|Q19FY9K9`|%WB5>vWh4`b!RBtL?RlT8t<^yy8-cMy)-Zx* zI&5c*W9i^ppdHS2yRO56IHFWw@@W5XwG;9mL)bOG{(KHp%6kf1kBu!-g)cS4tU>fiJ)f+Uq@#Iv3jWALFZU}*e z|2ZU(_1?;d_n`zf*gh!sj#JgGYMN>|(|A`tYAXt#+W}(-;;x%i`0a6=0+){8`3&NI>6rkyKM1AB+4pDfVI4%15#C{G?nq9H1frVTbn zaW8p;{*}=0-A2gK%Oi+5AH$b=nGF?TV6bBX$6*-w#Tsn$aoUM!dLz7lFR@SXlQOmsy2LMKKA3wbgvU_s#JY_-RF~O zJ7XLG{^ZFZRsFbH<~cS9(m!%&Kyd`D3?G~$l+Frw3&AL)Vtapm39b_&$AC*eo>F^T zISdTH_uq`T+k`d29gB8(rFGmMJt{htEKuspbCc|WJj2=p8xbj6u@9+>aaV4_(}H^W0e~E0GXdy=56%GVFaRLV zHbgWBMFQ%W?nmI}L0U%sa&&Y|d@mMz#d|FD)!iSYsD#?CL?lwFsns{r08Xu-C5I8g zXQsfZWJ_?I>v!hc)T`aN!Mo4}C4h_DU+AmJsAtRNONhLcByg^4jlzJ3Ew7H^fwda7 z%MA8hI8trztjml@#VCn_yK= z`74Ev6V7zz^zzIMnJA9DCl(YCH(IzWfz@if1p7o+KsP8G7@st}c> z@cEC3Lf{lP*vBBx0tp-F2YL_#G7Frf2Y&cBOTotWXiFD4$a;yl@*%nqKmSvKl@f1H zW5MUL`X^-{)9!%+@Ub&+vAv(I(AL}#$xd%V+JyBE+pnTush`E_c`q#nAPUG`CNb2? z_OLS=Sq-W5umFn9v$ih1oR?8IKJR^Q5LRC&Y~pDf=!pb36GlfDgcA5zDf>?rN;6+4 z_+MrbUOdLXCqp6sZ3=?GDRV!j3>FQL!mS|6NlPl|;pRI#1{j*n22THt527e?=L%pr4*fYn)zP2B#-o&`d&3}7>9#1}g#$0vJ zr~I{C4=E)j^c^@5%vP>mhnYf5Ucohrz`6O%_%TpMK}q}sC=L_?$kr{9Avrrpqaq*i z@RT6S%KHQB%eTrOublgor{#g~tj^Z_7Am2yXwR?NoxA_AZ>9}HADje%)&L)1vIx0f z)@Uxp92LMu!NI|Df!FEq|G%7&$6VJ3#(ZN+lhoMKc&@(&3CV#{M7DmE?0SSbAIAN6 z(x=J^)`-H8tdPJeAME5Oh4b>rRd6$HY;f*9y!@zL>2wb|TDW9#-0Cgrd?xLUya5oA zm?94pQn1EA=#%{O5$yY2WTBMd`u3mZ;DY6{z#sG;m@hlPQoTRR?Aa^I z-H5?{Vnnr4R`DkNIO{lGUDn#s9q{X?5L98v16264^6VLywh@ag_z0Dc zYlKrO=M#O}|Bpn*Y`CYhZ!iH$eWZEnta}SkSDuDi^b4w_kp3X60hOxvGZINMy)y;; z^*=7-0f+M2Hak|F7rM~5Z|lk_s1s9Cx(5W~=;$Z{sY0zS0VE7ClU~SPh6d!g2&0L~ z@;DA0EO4)80DtZuhE&%CK)qfGwDvl!E%qM9GduRBl=VM%BJTJKGg=z^R<%L{kC^Vj z_y=Z-WCezuqoZX2T8!WnLX6NHcT=prTb@{J8(3}t!nl+eE1sRAE;4C8*-097V!yNT zF=afYGg;zmDg~4`A7#Emqv7dU=gAA6b|N6;uR;D6a@eE?Nj;HKQTj8TS}QQWa^3UU z6gxgZflvm(PM&nv)EqdT7HB!Pvgm~w@2x$8Ef;*rwo9GFDA2+kLk!AW35j#XjX+ol`KeU!`GP=KP2MA=z*n%{q&7}>w>3uk}!JbiA+X@Lk zx0hn^Bt*dX7cZ;-Afnpe0UYl*3BfAOxp`YcOOFK2d4OEAlitF%b%%5$hGU&SBAt1Muu-f z!SG%B`}fq%n8s_~WAP=i02{kJKQ@7VhF#}BUU`8h{Iy%`E&{7Yq1P=4tX=yVQ2eGX zQic{T6beTs6zFzonV4>41++|Urf{zMyOGQ{ctosjjr=h2H;Jos{Upv4we7Ue<@8qQ zhQt41YQK;R5^mdVBb#2g7GDPx>-WcPGm%ntEl8#YT+Fr|0P4+%(GCz~vp%H#0Mg(j zxy%)$!)wZV7MB-)peT==GGR!?U-XsL;RW*D2!KKW)mHwBh9nz3gaX45tB_JQ9T>{V zq1&wW11;VlS|959p}oEpLbb}OhD4{_^)aR50yF@;zlD>#(0ABCVjrAu8YACn+iMWD zW{O-Ucf3o?ahx;q!3g|MUhYfFc?7b}SiP_UqWy&Rgdf?XTMz<4N&}pAleO+MC zHQZRlFGfV6`{j_6(5A>SDOQ3T zNZdS>mf*+if$ZR!`RJ1{w2@JZ`Wi9}KY?-qkh64>NyW2s|5Y0bN7glpEVZITRsSNq zWbEU+l0-L?IN>A)^5F&;O93}VYgC-l7sKeuVrz$RcDxr$np0S!hcXGO?cVnU;r9yp4frWr z%Cr1g5;UQJu?5Qt+bSEpAjS*Xip-_pL%{`y%dn53qP(`9V>i>p03J^ch#kYcvHmz#APm z-D;)|1i*^bZVT|Uqq%J!AvQ)7FbpHO>^XEYgoib!u%oqgcD@6!9aNFm@7%d#-Qn>+ z{d8(Y!({+i)AdF6b|w)s$E(M{FSRJV(t#5ZX;Gz7`3yF#eb9vX8Hx&4u4^fRDtu3R zgCB~(_E^msf~{B`PGBj){`m5A<*~bm2Vg$Sb8lQMe*hc*1Drld?Gp&~3e5U#QtoZn zCt}oqh`j^nKVjVxSY(p`WRkTwa)SNaRIu4q0fLtAIPr;-Vn%6P8)r~n_ zU0o1Pk%Og1+Yy*4cw4cv|ExXBOC`iNPxC!%hR;ME4;uYPl|`WU5d5JTwB zq=7&{Opr<$z#Am-<7GUNmUH81Q)V%E2}J>90{Z0C@1bw@-5aME>4jV-tOjz#V2_wz zmf?R+Imn?`qSrW?%^|b{35a7gF3%vc1i3OuDe?#6;28*TQpz|$v`}}xD-MBeHxQIm zLgF@LSM+i{{Tduh3qFMUI*`U884KXAqXq3bBIyT#RhppWXjb)opZ`eXr*`ZI9h6ss zbTZcL^K@{OmwSDnR1i=QovQToyg=dp?)oh^nQ0I0F}v8%gJpQ7UYd`;i_xM-5>Vkw z&$kDpx)JKb&;(ze70gO?rc*?yD2Ngx9B`GhZH0Fa>UN4Mr>$Mt=tmjism$MewQk8u9D!1p zOUdGvj*g%JcuGK5IcF*7d$E(ZdH(CFwkFyr@{mV$CMiAK+y{rBr=r*42` zyUA?}_}CJE=rFM{6s?vxm;?mJ=i9kwUqHGt0LF-!+J1=9=l3n4B3>fWM7ir2G|xJ+Yh0n3M~$5sEthl-46Qk zL)+K;z=Zt)=;S5v6!Z!HFC*(ReTgcRhQ=AT%ordVjF43k|3t^V|F<4pk@s7s4ymRs ze#D(O(Pf=AjkkjQ;T{p$1)>i8a07k619>FK=Lk#4r2p>&{66t^d)|M%P=M$O@F!(M zUzE&NzY0=^z_18>)n-*V;>}^J7Y3l*5EP@}=0R9xfONpcoQ$C6piza247$y1uUm>? z%Aq3mw(QW|$`dcJ23JyzPu)^X>N6dUuOPWIKk+@(xBnv`0Pm5~g(ao661>D1(jFTg68xI6lRYBAA07Pd;fmd;OmI+RhKar&{F*ZVhBo0zt(Yn!_99#&n1+p z377Cc`TkVXkHw5w`8PlU7>u8bUtFzgWLdt2)zu@xidVwQ;uoMnC1hb`WPJ7=T?{au z|A<5_!$*~D%op!Hp-i(TsoJr4O=LY#TvV7870gTg6aJQI0DSIsNVE~cw- zsx}GXpNNMXp`_2@tOHLH=%lbCmHH8#9%Xi_ssH_6=?XF+-Mj3{9BH8Ldk;bp=(2k6 zE97MUS8_nDvA;Hi1x2Ih@hm#f*Aisv-cH~c0#WX$`uM<9PIYCI$u}tU(dBVNWxwk# z83QH(k}~Kf-$QLNU_a1~un3$8MGCPkyr9fG-}1WBhawm369lDdlHdk~5E>)N-=jJR z8h(7(C}#j@_yZaWHwv&@wf(oYXKC0>*cKv|X5patOhX1`ruT4xD!)Ko-yeqdr&dpd zyp7;627dy0ja)!{48{vk+7`i?4=i2Fe>7SPn)nRrq_%?S5S2$kmN>FQrRE^*9g)Sf z>31m4{%K4Ad2U``Glf(kaeYR6u0{PsC7y{J2H*|pD3y<*g>&q5% zvOU_~{7^eS-Py-(E=d;C-AhA7|FTBMeK4PN>h!GU^UGQwa zK?#l6t{^f6ZdMhrXvh{oL6U@^V(kStoPwUh+&DGtQ(OZM*R~d>F=!e428uaLY)ri2 zE@9vEcx5S=i2=0)h$a#K%n;aS=*2E}FE7saAQUZ{z2XxC2Y-YM% zwIMy#1APO?3o@~OgEmJxslu}hxSeL$kFgPE59DqLd*9A{v<*J=S0zT7{!sd(2u;2+ z)*JYpTf}}3ZWF<*mHPbyvIUCLzpsQF3zU>+Syc6}fx=oooluh4Cq~!ac79_+0?~Od ze#WI}85tR&66CP2vLRnnj~E0`vHh7dzFBbO)%p63sqb8|EEd`J@u!}FLPMkyJa55% zL(WMKcdNf?9Vj0qxd1ig{()&7DCqIV`^$taBhP*7x>K@ z$bN+gwRAW?WT1N=jjF-T)NYd$)?(Yrz|C5~^VL*?^s2 zgddQjq zO3*(btT1Q+3n63H^Ws1m#Nb_Uz(bN1sG3Q_Pe;W~yZYW;@`d~&$>ulClUTqWqJV^j z&X|+~tM;IFSIM^4@BYG!+QuAee%P(@Ym01{<&OU^o=M&SdzE(sHf8XLgzkoM+a27d z>=tY+Vah%e0+bM(pAy94-pXLga^ffJHGdCBe@tMF-n6Dm;H^bjp>QIUTe4b|LN4KL zUaE7OI=%sUr=03pFVw~k(CTQO8&II*;XzAhSDNV4#`rZEC6#1Y5e0cVJ@+iZ|Nd0E z;bYrsccV;?%m&lHPEyGs_L99jl%shs`m!ce9c}r%J*Jv@=)NnIhLJQn_qFvAgcJVN zT^CGLPpoXJWY%OW(l%kzR_zuE6-Yu6{g`!+pRJ;TFQqQWYwF4(*3H}DY4GLgjkGbu zo_l>aU@>_IHTd(e)_b9#aT^zO8L#YAcxD%bpZ%Do+A<=s4mwKlYK(TUy#2k`7F~>I z7d`~xp3nFloEN6g2~W+D5@d^0ah1N+rd}MW-{jI`>VE9dv&HLVc`cqvA3H&gj#40` zXLVacs|ku4k=(9)B>)Za3YbT5U# zR0u?sAY-|4@XkH7@3~kNg^fM1Xy0Z<1 zP+2PwJnhpX!&gOr$(Punvhsv<(4jh$pQW1Pm2#el0ZB*M)xlq{j_%?Ug_yehD`5uT zkAh^p&2LISj7I$omb0L*JFH`OGPm5cW{7gVo=nux$8W>RcpWudOibY|9pOlQM(E9i zc5^MI{5b=q4{lFx^4%81{g4uTGFOnCajDr=7w%zi9^cS5Uc`N^J!~ijBr9536chz0}EQ(+WH!Q zG%((;3JlqzvWPR=Td_0)EC4~e>Z2|fKMdn;x7`q|+4uT{5q(pF;x5&Lr<`{nuQt$1 z-iW}UX;xczM(E`H8kKLThmx*)$W-tRITFW8_dtbA0ogVed;09k+*; z8RsfTXeH!KKR#P*UKd|id)d%_u(#f7boO$7G~)g=@$=}m4wn18tlff1RRB~%oLU#O z&ca|OMvU4{{FuH%R9u9RJ;k5zKbDi~|8sWb$1a)XTG4vPl$!jo3)8cKswY<3_fT}N z9hP*o398Cme#HDkG#>Z5(82d*!K+cT-RAvXJnn;FccRKo?9t;o4b35g+wAKO7mfpg zXsEaKq&i8H!;;%rx|iy7tRP87Z?BD=eWYdTmepd5N25c%v36$6Xs$}=URaTwYF}5* z?x%%Pnt9%hGaNn7&v-7^^>X7yO*#CHq@0#iA|IET63$G|M5e1hOZxa5&5|28k1TOQ zes_M2n)@;;ZY4F|XTWUXbHw8k3L0f~jx8*)J)D_Y{jFDSBZqPAyuPLL#GmYqO=aF} zteZ2#XQGDC!H^D(gf{_<070sGe%~L&?Wrz{{*e^OQ@~%sS30})7EfcEm6pBr>f=u# zm&*1vwSKn9*BRY4+h@9Zct25`S$Tjqpd6wr_53 z!P}T@oEz7Ski%epv>+l#L#oNJ_3VOx^o0Lpc34fyR)`$c?P%PKHQ!`*@S{?99zs1@ zU`*VfHs$`od*}BwBog{BptT6r>7}oHdJT{!D1JHbaV}v9g;F|VotL9@&pg5Y;`Sny zyk}S5lI!IdL9j4m-*{8PNw8B=#OE6&<4Om6cN&^0P9;JqvS=4bV)Q#6E zn>g=nn>;@-X3j;1Xat~&E~7DD3`4Jb!i{bh&_Oq3T%_Q4kKm&XL8ztk9|jOh&Vwl( zZ0E`8dfBo(JUme5hQ!AQrKITRZR}M)o?)Xk!~r7l`!gM>ybb*Kzj8*zOgtmErtK#u z1Xs9kk)xL7zm6B3FHK|9V5V#C8~>=9@|-QP)~K>8k0<8$pqJDW0~L`??8AJu+o3n3 za2t}Et=*ds)>zZ1OR7br?A7+8@Ke+{Awg-WxibY6cuUxE=zm(dPYU!G2&4L@CqfPi z29wsXX1@krIq|}lyeAdxdsRce2Me4TT4CjJ?E>$*5Y?=pLdpaQ_Ojz zF&nm}Uc&q6lUH?qVN}}v3MKCz-ep(;2CZ`22s&B0(j9g=Df>w^r7P~7Suod-t6kgy zw9GMZym44wRpMm%=9@INUH^{b#jMSJ6N@^Mhe?}H5JB7m(i$& z3V$lyjd6~^3E7=BDxPGas`ElXW>}d>LE26-biKyZb<^&VR^{;` zp$nn@F2N3sJ*A(-7W{4h{>H3ir(NwmSd{8Y+?(HR$~vUcuKnil;q0o80;m;mAGgXf zdr|zv6k9pnF>EivleKz{*PCj2bctulT22*J=e3_E!Jt3&#Q}Kpew0+z9b5I7SK^*N+@nc&u^CW!l+N&pf^s*SGRIKfD({k8Nh=NsXXmISr!oBreO!$#9*{4o+V8slWm4jQJ%32c zL2Q)IdbDDl7rvxhXw%2q{fBWWf*+^&?3@rKVP&<)?WnZ1JsEBNZywpAicqUyJKM=e zFMIlTt*-{{M=yy>9?(TCl~iIWa7=7h`R-vW%I{26)DHpXGm*VI)E^YT{8Yt@*LV4m z*^!jeliFHQH~O%4PC)d#=z2$Qj`{Tr`|4s^@=q^9Jx@8aGQ}crNIl2un z&`|LA({iCWIqla)PErMca4j>!@2Pme-(y=B_n2^!2kYfue8_v+_#*Qa>+gk!?@YJP z=W@f8vm~0Wmgl2hPxgX4jiBqZ6}PpK>DX%ii<3}OzII=P)hO(ns*IhY zgHX_bnA(NA97jJYFD)_7Ib|@R;mv>sRsxyC&kiM)JYzV8KmiTuriFt!&qCUtv}Sa#$Y8D&L7u*y4Vi!B$_#1#AQ4bX z&~AeyAN!+CoCZF@X{Hy>(a;8ce_C<_@uet)^wpa~j5LgADAsAbE+;R~<95h|17nr*U|G9m-wq5%>N+vp{j0LsYuArZz;kV)$7=`Rz z=0J+^3&Myyq0g4dDbS{S{=X<3tNy=hFEk?t-y7ZtbW2jgS}t$sr`0iZ8|8f?Wj=`0 zdqD4Oh|UYSu3Y8Ex=~bqR}(}%UryY<^e`o61z>yejl{OPosLZXUNY?Vyu(AR#dAIQ zf*MyKz2qASZ@#B$!shH2(c8Ol7s;~D0^SMD>$J$$;_;{0bvU0WJ~do!J-iZ&;F=2M6i$^jcp;|~DywML2rFvcn%LWiVmc8OMH#7GO zT=uoc*{Qbj3wZvo#3|SN4;Je*3nKahGj~(NQK=1Jm*8f^S$)9dx;@ks-#MTI4K9N* zpN!{1TAThSQng3rJkQSq&bM!ci`#t^QBt9niG~{Qmi28)7TT{vL`q?b;mu7JpXTX#iIqOnsu3{Q|EGouzJ6zu#PS?X?rVplv`CbuRiV}L!{FaK7P?xpxNbAkWUyne8;)|oUSuegqpwXHp^ys>wxGn?(h|^ z8qT+#wlb%g-BSY#T~GnskDcctVXCiAA!5X({Wn-|A;W>d8 z3}$l>C8#>vKa8E@w4ppe3Goc6n5eRI60tgL)ikJu*DLM+dNE!UWY@mU`S5IgLDq-$ zUsc^?HU7Rk&U0QJ?g!SW?d)oX7B4#{Es9Wl*d6pX^)-#x`UObRC%8NKNU8%r#HFsw z^HWiLu)Au<6@O7F?y~*1a)0?#5_vyXzbLCj26(4EZ0*+C=}~xNjEjofXz5A5YILWE z{jmE7u+|p9T8OFNZdvO50()H{id9<*kXFfiDjww=v#zXJm|N^W@fYP{n(F^ph}xgK zw)2CyM9|{g*ZLrYibmV4aK$sPQLm?JTxUm$9s;Rp_%|;lEH^S^pRFI;p3L@Z)ctjQ zfQ=JzRe^mN6&4EuLGMK;hkd>An6QoD4l3sITe#?b@9SP74hxI%qeDg_!?xx5I^W&D zZj?RF6x&2)3D4bF<>yiP+_^Z^;DQV zWBwDyjRCBF`hmzE)9Xl3J zyW6mR^e?wg_bEA9Y!$7`G5!vgw4VjmS^E-QZ9Q47Y#z;0bU)O2^6J%to!`Nm7D-pt zy<23Jnv+EawpmhwXdBv8{Baj9+}kf7H5tCQdp50oao;H7!KpEmi_Iu&qKx%^Xk;5L zOVOtD)37Z|S`g1pJas)qeGjzlQy3-%fuBOqZfjQA&wAs&)PW&hAS4qVTG_`cn$Wqp z;_h{OBu##XM$1T>EG(=W62>%hm;4mfHY~qji-Ja5U;?)~Wk;PwoB6Nr46fb6cxn{u zzFC{ujR~E;QQBC>?y#I39F|WVXZfs7+m$b;yaV|6^p+y3&1z(wmSxSyCZeaAr;a`J zdSZgrpZLM@Nl>}E36frDTR!;iesbfbu=>+bc=ek-B|8B zTf|U8aV8vgx-o@AB}K!Vj3y+HMwGnpdU-!){aNyjiksWDhnU*cRe!bAT9&>P$d-{y z2#OMGz8rron-$5y>N_ASVLCyF+%1a7>Ao%i-{smxY#~&YK9uvf)p1#GVtuhT_G`Z4 z!(8UPHe&mhWW?<8)>qUcPN$j)ixHaIP6oPWC<9efgjQzq&r_pm7Qd?hM%P@5Xza z9Dn#qDCJ5|c|}T^9#%@OBG{)!((Xb_gv80mbi;^2pCS1&n&- z0{yyFIyvF!D!o^~>t(F-uxtc=0RHsKYT|wo13V1X*zTuBvAjYyZ{=y10`nV1S=V0# zA6k!OJhAq7FL$N3NGqO!KN?v3rL$xbN-Qy%H!@A9+P)_K$1!mTVudy`h^ zmF}f?N_|7Knx1dJ<>HsMkW(~Oce&G__<5o6PE=4+d2V1?Gj&{%TyYhhU+*Y$uPLPy zx=Zn;GbS9i+bw^~=J@h+EGznqIut5*Du`bqI)6yLeF|d?AyVs0K!84kAVKUG5`zm< zH9#{gD*0QrToljT8U1~+sW=`pbK$V*D)X4o=zuMK5XQ2ISWg6P?Ib=UmkQ}X#}6kG zdGF>Iy1LZ3?xQ<`e`=ibNKUMFGjlSO21c6wuuM57EG%3+)?014lzcx{KX zU8!W!$!4;MhN53r$h00Yc4pjTkaltV**6_oUhe6m*l}&&YWc&sP+N1Ldw1$me|L@{ z%`U-aZ)KNlwaB-t+Q_(J&J+>@#CHt2>NcB`JlC%O|eH zHO>N3mf6vx3q(;nke1-~`l^w}(~<|GgvN!H`-X#b&Py=X6h|F7;oHV_08CrUbe9)`_vR z9(4(^y9hpCf^^5?Wo5N0VVDmzWbtm}McaNdapr5Qf4@6?fSa0Kev2^~OM9fDuJ3ih zTSNP{t__<1vD+Uo%L%I&Kb4vPY0J*vPmd(_h*Vcq4G9aAw>%juHUe)Zm#EA^JGK+4 z$WUZlnOw>@sz;c+l7~r#MBz_u+5}&!v-T`q2pDN!da`xa6uWRyaZPdHR6ELQni+X7 zed^iX{5p-2%TL3S>+tpR*`OTeMrnw6#M%D$n@3&OgVk@Rs=o1RrFv@KZP}f%I6JG; zd?mTjHsGP|Uq<01CjTh-%y(F4r?=)hisPtSSVZit7(BF+qu+9Af6YzFmj`SaN5AWU zN?yADT53*sr=8;?%`|rPRYbu7f@v7&7URjT2T?;{;X>wpI)lJQl3XX=ae%B<_=St{ z&S5h(w^`}#?u&DoU|K`FnYefe74}z4dv|(6u#=Sdk*nT!F;u6ZyQse0#wDq0DupxS z>64oC-FCza_x!T6p3kSt#ojk#+zl7g;CS$yRMoMSXlU*!_Ey33Zbq-)GBU|YPU2j{ zb(5bryPB!K(&*}Ve zBB^NoiVRED+#&gL(RuqVpk)R<_#?2&z<)3h0;Yu`S#J<)gN%{_g5P08(uwpecTr1b z%0ItL(EFb4!V4UI(a_&peY>eq7}37RmE(nTC)0uX9mOsqB7~D1*&nKR7yDy}4mnSI z3QIF?JO2$6LNb|mrOk6aw$-9~ zkHkZt*yC(#Vc|Eh=cA=&L?9Iz!ky!?*7;ZdiSq>(V}I-Uo6{kzh43Z2(_SN#3j6p! zqFgR7>71hORgjDwR41keIw_MIE$U9CMj?>P+l%=9pDY7Y97{$T+K$^spUAF)48G!+ z+d9rqRbMq6jvF~ki?G&>xh6QYhE~?gKPEd&Wa-mZAbkJ2O010mz4B(MwC>&0fVEOB ztCmq)h6qtF^2(R1i(g-w31Yj_XPX4?9S+b&tyQ(z@m_`eCbV?dU6H!aMjsLZLR~fFEigCc3`Aum!~RX}+$lF5qT`etpv1 zuUf95?3u|V5tD09bc8RV#3UyF47#cfspS;>ujRT_qBUYo*HbHm0t-2bg;W`AK7SK);A?L>S^|wl+@K-L3YsFuBd9S4k9JlW$ma` zqlCqGf{$n|HpcQpNnFpW%9c_iV#1V6`KH1AK0giTVzqt&|Q-h8u~iMH0soJmMBqKUe6}Pzs=3VPct?)WsUM7 zIa4m)0$yqrb@c(zcEO}A zr!%5!NR9w>t&o+fY*z0eC}eo;G0}!WTj^MhHXio9^-qUQ+wv*{X_>b${7Q*N)_(MJ z7*9Gr5Bh}{RQZS?U)Axined70v-XY%yD=gZ#Jl=`hb1_6jF^?;?Im|VbM5m=UA{Lk zJn+Fw3v+o|XKVbHb_HRu;LRwo;eQu$?Kd=C+!gw&n)ub%y07dGMM;UTn+}UtmjdPJm=|UPL{wtFcfKuHw?N6* zkNE{@;y?H6(s(DAX2rA<6lH$>rbho>G<#bOgM6buT#?nMuV1rsNz=$DaQMe(k~vP9 z>=5x~`+2E6{CTNpW!-ymT1}#*)EVrRz~2&2n^wry`*Jj{EP$jX3UZ)-f?dez zz_n%#CrVRU2$Ai(Q?VEmM*jt(X0zZ-^!BO&yqsDA`v&5+SRU=a}uxL2OA zoe$aTkOJ#1B570ZuzVubGgEe)Cy`>%@@XLO>I4N4SD#~^;={$4$+W_n119X=dss5! zcwq1W{t;CpCuWUKSS$};DzCBjNkCcI^hRgx^!Fl$=2-xmZML|oM{S>DLy_G>aeJ=g zvv-kfK$gT>c;e?3t=uHh=uf$GOpes;Q@^&V9C66~dmd3&|B1WHX^AkCkCdE`uRSRo z6Hu!x$?mt(l?3?-)F~O@YK{ZxIAtH*xs!l}DP)AB7l z%v`g`_?eGeeh^>j(nk%B#Z_ZTWv|MP9WZYncqiljR18Gc1CnnJQ+1dz3r`Iu17ky7xDc6-5=F9N|}nvNUdC3wUqR*cKf>XS-eF0`#-Mqdb@U z6Y@tlo}@Q@7Yk_WNox<&y0m+pu)kaDHc|X{M}{=78A@fX^~MrKp5E+KA3O_;SXK)p z#^WCXKPf9n4pn`hK{@VtwMoX2d~hq=zsjcA(w+dKZT`Z9c^Vik3e$s-S-}wNcnppf zBq&vO!W5ntLxlgJLX&Fbe;WE-hH_7Hb0)AqK?Dl{SVkeLK;`E<3>c(^3qwR;@KB_i zq=lLtyPqY6mEOO;^*5SO+LxZP`k@-+9@A6kwdo}d~(N`dSkMl35cfz@z``q25UtC&*@zS}97XS21BilMQ z7KeZ0=YytaE7@N>;w^6N*a?T~%=-2W=MyV7 zeCe!sGxzExwW-M0wmw#S6Y{(<*r>H`hW+5B&5MVO@Oe%7`iR#at{0>?}{fzbN60QYxm&(P~T0DB&9?&TGuVL6* zYa#00wOyX$(;sXaZLG7-dN`P!cVTDS+p$M`Nv9_Fwa+IS zm*CNc+0peG6O+<$sSx-{@}-x(y6f!GN#d;~KeGAYiZ4Vc8nQly{FBYOPqt+%d?dJ2Q zg8u`_G=%stP`a+d^!m$6NUZV%ONf~E8F;sf!3bmeZ-n6KuD^@ZA{#^1J2iE>lZ6jo zxyQbs1srH)^qoH1d1dnX?Vkv@DF>@f|D5=k9MrValP^9G9NkgF2}3sfA~OT;qa3!B zWN(uy(Ep9faQz}z`stA~fj6dqVZUkRHxEJn!$CehvG8%=1&zgybNtThX5c;hiB&>) zd5-}Z5|wkXmc>8|!*lkqkuRvbAc;il>InX%2{K8YXMKr`VO>hLs4Y*b+*ForSI!P` zzS_bsC6AK15p(cspf5P#jcxGlDHW1?4Aifl|49o>?yip{jchGb9m;+DK-Bw29{nGu zf^E{9sCH%X1zjsXF$*g}9(%V=HDkXDD*Iv^xpU=SL{1t{QF$YU#!_ukr<^( z9lKz^Tn14ou4RoYEG`&AxF)1eVu^;T6zY7q+=3weBH$@8F)`tLLF5ACB)gu`eXNcK zIpIQg`qHrNyN_*}BzuM{l5gg$J?6{@7v&&DG+p!)9;0|;~^O@V_vH=J;CHqUjSzUPAO@$%wr*PU4c5@S2jYH*G2k+ z0hLN4k>ZSew?Jq|DFq8H)9f+c)yPjSKU8||OtLTgWOUt)EvZv5fKp{HyU#jp1@nsf z3SEO@&#?BpS+-&G`ByZRRi-0u(mvPU2Q$CKVoIXtdD$V<1Zr*Q8Ra7Gts5 zKNKiTPTyMn9*pbJ{Rq0%T=wxK@i)(?K$b<(hBd#_BC%9JvYAuyo(5Xwn`F~$VfZI2 za>*9CqUi*nV!RQHJ$Q95TVYWi(=Prqye7WBzDUyQ==gX)Orr#F@|yE%T9m1~&s@@3VL5h^O$sE)kKI!vx6JZ{9#Fou~a0P*r4h0-%WjXCJ{A zmZ2b4c}q&7pce%dCna_mujl7eP&$l(f)+(LFXpd~fuNYw-OuBf_v4~%a{Ix9C-$HJ5k_yAx731|c0;2S9V)VdOE|?^zJO@th*j-x!P833fmasf*L7Me?OEOt z=wvAAUS0j0a&lKtyu8{OiEj(v7kW!cCWOJUpHEkddb8+*m~45`@X%I%)r^61-M#ZH z?W5}Ts+{VNs5jpT2)Y(gzLk96t4ps0ZD+FvIPTpYeusX81cqyMoU8& z@r!a5wCktxBZKJ!Gj>ITC#{YP2Bn<&inwBvseD+Cy7R4>-Ek~!zh@SDwku{)I!_*A zzdv(p-p+PMCkg(2Myz?lH|c802tK3|D{=vIe2R8+oH`zRt>yRRhFeB-pM#nob}!ze zDM|QSWwuv@McU2uyVd;N`1^YYb5^=RBwT#1`+vcm>v(Y`=e;y@b$O&X;%zF?V*gd= zjN#BlT0aXF>gWxbx<{9dVLw zQPcLb7e-78e^~UI9xkJ7W?jtLV>+k7U|6)<_XWW6$r&32k?BRC^M@yl4E>y{9=VuP z5n6e)<0(vVZ$6FSjAdiqIe#yBGfnjcqkNC(NO(1s*X@QV<|lPN27fCG6As>LpDi~*OlkXlLdV6OfGDi3k_-u zva$P-HM|!$_{-SyV9R)dAg8UN4Xb&BKdQh;s7FTYc9u3bIvz=!(F(r$i-K{c(F7?` z-+0Ha8!J1}jU7jy-zVoHjh$)~i5)=sKFyymD{W}J z&ywS^cd)ZKO6EB7_tF9VCtb1V$RIOM$#pSX6%EypN=|*7Sb7+lTzzX_|Zx* zhn_7Gnod?AnWf<0)rC2ZNJbvDc;pk9{Ge8DDQRjt#S%#ElRr+))@%5CW|Oj*JM16v z#D^d0DW0{;Rq2*vX&-*ivY`Z8@;smj!_7G|u;nZWm*IaV>L=HcE^Fq3UQT@dR^db& z15eLk=Rf-(oJYJ3Lb}mGk|IA3q(%$VI+wqVz0QvM6xA5O#@vdc<3zWll%ONAK9f8h zuQOO-vj@@q$f<)EN1%;G&|#P%XTLcat$jX6^xuka+XzT&(!9-@t+r<N;FN3sqBv>mnENtq5)EC#SpQ`d^()no>$@jf-{3a&2S^LD&2GtAC?vJ2&%VTn z^*`0O^!^6dt_ckJ|F&a^*V*@PJYz7cUd?L>g2e6dZ_zG`p}Rn^f?2zrImyTPiQZ{{ za|VwrAz}Ean2MJv-~07k*_NqEs?RqE*e-kqBP_n7BETMi-mF)-P12k;d(x5JI` zZpPOa$tK2{YL06PScm2eYVctcvMHD{izk3 z_E~-SqFbDDQ~FWV>dYMNxPh`&B$@W7zC^Z~SKO51$&=v&FDTER1TYqi2U>BEr!>0w zF3EXh$;QVF@b;<~_>3s#wIKdK7-@AA9X$-XRR9-|S;c-qLDZa_k)Xwmg2}sJJ2ZV! zaOXgJ?jqlNE!fD5s+cZJfCB%5(Fpg?P;BfsUflO@?(V#|JJ5wCPhrL5*OjzFNF>zy zM}QCC|1^DokBTtrdg0=R;ZO0O#ELv-rd^j3=8mf|*&*RBal5;Eu|t8MS~T-Eum5!y zB<^s0(b^zcU^GzAx~v$FZZTO=RAzUp&lyX~V#4IiZuIxbngKyBE+W^=lTe-LIxSHz4qz~e>h zmU~YrUZwfMg7)r){+ymH&xDjlsy1J2zJ`@zxWJlTG z_I^0YW)j;6Wyv}4RAC^k$^?&(@o1F_b~InsSyBAfr)?Co-Z8->+R>^pkcvtKh`ps3WH zk&gK;vSSri8Kw*=_gCEgMb=q&vy7sZthrl_B+7L9yhNxdusSO;_lC70?L@5yw`$1e z;3(Y3>VfY%pu*^+YiKoJm`><(%^*04i1Pi0<1|qJo9EE*q-b$J0GGO9?Tw=@@eApt z71F|Me-mEJ6n2m3Nxb+QoG4KYc*_63%HBGvsxJx`1yL|4MM6@3sC0L$qzWPp(jwj6B`GON zcSyH@G$_&th;&OHI;HE*?Y;N?@!lKb-RBq#jtcwiv-VtT);GTo_d%mlz`LS9(w#=&X z<=Ts9^ODz{-mi#>nsGi|cVvlKEInQ~OgPb4CPb|#d{kHD)h+QBzLkveKHBc&OxR+R znz=4$AFCYAC^iazgm5fOu<-T~KY0>!udeD6i=;#CAa}HnSZ#K(EF2tts-BH}T+2km zVKF|;;6S|OmWd=vOVryx3@OgH$%3YLYjo^1`pXodPNen+5UNR1nIKGqgGgv6Ww+F*Xt^^f#BdqTUHk@MIY%iZ&<)pS&C>b&PNM z)wM_xL#5N}J)C}|UfF)txP;qPvZ=gRZ;Xd-vq|Hx1i6 z$vO63?8~S&X^~2kFC=LTl=X=3zF<6ZmlAk&X=D`S`gzaefpW^*LjJOwTx7lz{^+I8 zF%NY#x`e)JFee>w%o*+K8?V1Y6PZj35c_UXBxXXeSz_0*nrAa_2+91Ud-rzLfZPgcGrd05XA`-4e+M(vf%<>`9j9&?_X<`V9S7aMZEr-z1VQTDQ0 z>GjtSm=|w(p@#b9nI&iSchgIMwl%+?CBeyMaE5rfwYBx=R8YgxY`9Pluq!0kmQ3z6uJET-!}sTkYwq%YOTKo_k&WdRK3THA;Xx^L2Q$>0iA~L)7CrlXHzU6OMBY zrPTE9w~{(vnYt(}66f@JY#&wmH5l#Mzf{HBxcsQ8!M^66T>kkH1Vhg}%J#UfW%0ZY zIN^ZETbN*28tw#i>E8g2&gYz*a?l-y3Nj`iaW8hRrti}r$)YI|$ygKP=VhE`v^lq4 z)|pzE3))2PT{95CDl}psUhd{5Q8Oz46~TO+_SY%}iUhYu>r~M;*Iwpv3$!Z&2T;z%z;XksepakK>(pKF`LLcA~&- zIeE4s=QTHGl=_f`B^=6~{h)66&4n-rv^FjA=)`^X53mb%i|L+h_#V9S17A_Go&xtJVT$45@l>%5Z(@WNsFG`Qy;0mt$ru#;}3NDJuQs)fo-@Cf8FUw z552-e(bJap{fEc=-yUZI2!j#!9)uPN2%iu+b30TL)dwj`7r&YFO{afP?X$^|y~_t` ziQcx$FZ$g<7IQC7m(WKkf-6rs9dOm;$ki|nj+t)Wz)Iredfruk#IVSOHb5pViz6?0 z58KbNF`_ZLo88^x%uG^Q`-v94>Z|16jX8Xx$%$oTYb|!3>aI6R6nmC7CK(>sq za_e)%^Es^E6%i3_m_6OBivV;-4R;bg&N$);lGUEnG)yYfJNPGY3uL*^kxQG~PzG%q5r=fC*RNs!Ny;0=hY%N@5Gk<#$|@-heU|_p(U`nHPc>QS6102VZX1?I z>d1FEcZ0z4_IU7< z?;AUgeA27}-S6L>PY#dsHx~5wB{1{^p6h%$GQxN-I^`J5k?0#9iT*d#ERL20Ocvk~ z$~AB7I-y!urp9D>5ie@T$ls#K!2D8qX2J{GCVh*DQhG{*bn0Xy2S z@g2bp_udl6^fP^1CCz-$Qnb6mF*YPoe|BW6Y7!tRx@kCbC)|Yavl=rAH_iO(u*~Mo zKbg!X-sQ$RVnwXV-~=qHrj}lNqCXzsBFDu7N=pH!X_p*ipZs|kN}czmu;GP)*gn`bd^;(9QQkS$cll~YO-53EM78=^;7%yL4ep$d!zo+c3JW06seiCOhU7p2-Roinem2pSJmiH!Wxu)8cIs$Q^i1U|cY9!U25)ep_+6yp@0btq!S>B)C=olotmgK+&gy=UeEWCy4pczdj zK8{9gXJ~`@V|{oyuX*;fCYN-7d}m7jvGU-UU>6&6_(%;sZqzlSz<9>bQvT{`!oCcx z(1)_Mw~|_~>CZ+vB)JcY^QQL3mgi-|`=tS*fBxS|*_skA{Yp(-80MoxlTlg{Ugc<7 zHntBySkphH?zb(|-*C_5<|2*(&Hfzv%Y{_kx9x`YAy-=> zm7e6OX7&k)DV#pUK^u5`Qk9FdlAaDWAu*Qdpbx|wDv%CBhNr8rusQ2SMB$6`aShkRN!x}6Rs_> zD6hLz7X0t0(w7G~{BUpkxYE`ezz#*|sfd`1h0t2t+H6+`>8t$iG|yj^u#ZN9zGk2@NGFr@S6mHM@8%o%$7pCYbCRV3+!5~-$e6`Ew6b>ma|wF{*t-NVW$7Ia zw;r+ghG#!{?#g0h`{M6QRo>^erBrIYcP_hpT8g%^KTr0a74cpz0ux5)`IWDGZTNUK4S-314LUBzyf-<&IHTq~FuTc>ihc6Wcu*_gDOiHl|HPB*F_OhyjOhaI&hE=T9}Us<``6?}ko=&K}ShPwkJ?ac)V!i}CO`p?2JuD&(iZvlK~diAAGp-?bDS$xQp6 z5}lq`NH3M``I`&bQ_A{6mGo~9%8iNFfg|QYCw8%;&sg7ZM+Pk!aj;;ck5VerU$-{

S<20M_Koe2^tUfvt)dSzZZ>pFnRxPKYeRhFx}WsMvLn0+jP5wxrlp=%jASXV&4-y z;st069@6irY4V@Df%6$<_{lWBBJ_Q`1w!OTTV!NWQ4(edMw6HrmWq zuS(r|c?aJ)1?Tq`=-kW#a|yb^JTGJrC<<&7|CnY~vmbjrcTFRi+kFvYe|ad>rAr0x zn&COCjVSHXy3bw?Jf4FhFyAMQr$Ht0Hd_BV;HnCmPBK@5&MBNy9bM6kE5Fh)9w`px z>4Q*^qXr+fP|R51#ZKmp#!{bK3z>z1*ALij(sPq6Oo&&Ay%tX_aDMw3EKJ-~UnItP zjQTeFQ!qMY%y_&0#bw6qjbJ@{Ypjd5dtVK5*z%I!W1w^wr|l*uXkKsGZ$_5Io)hC) z-~Yn@$oD-|dACDqu+ZWL8KFbLDaU5&zW9ia4&jC4gsvSpu^ZUfg}XF~S!T->W=u3ue!lBkbaSZ_@IpR@|zaKxmn3KTE z7~%Q-*Fmqu8L4}gQXq!HQXS?Uyl~1cVnLQGY#!c5R7w&*2u2s5jI2v6mJ@ng;icx3 z{>(NiL_QKL!!4t5D`B5wje)#U#@cqwPb3tdt-ii?RFpV#{k#0+ zMl*6<@GJ<)8$wwQSfa?dxQ^}FADvxYwX5?@z~_zlWW>^eZ5I@G4FQ(|z1Qrv5@x^6 zE14t&AA_>*3bK6uT~}GoXsT?Ai7SPX66rjradTI$ylcdTzy3X`w583pe(Gs#6XIe! zK5EbG){W4wg6-bt&W;al(x;;)$j$kj_nX9Up6U^qw2zbzOa!B2(9C^|tJ=>wQAjBU zUku2M6bSJmRGB{BBPMoI#0jmMb`3!UW3}`3Lw!>!J2OkWZUATjI4} z`Rxy>@WuI-*Ss}f@mMJXBO{HdXj4}N{{FM_V#Q_U)%v?BMLhFnJhm()QByf~`#6q_ zA4T>2Q&}Hkh8=x#9$vRS*pOQx3oJ{Icz7qJU3cNY&+U4}L}xx-n%SB;no1VWAI4la z5&g2%y(=x=x#;G?Z%|L=`EUEE1UPM<{X3i>?QuMfE+9@7@gVi`x+JwIsIN~#=K9`t zd`P`=4;y4x{g^erDw&Z%DM(343IEO=+o4k(kNqKr@|uiH;kT}-+vGPgpD{Ri=BQ9= zwWM|JXQ}WEsw+O^&&BB040-E_L;1bG@IUt+$;}P=8BuxB_*xl5=SaJQH#H^%Xk>UP zIo0*(jNS(iekuenGuxq~suMBQnK<`v9o!=fWHS7T$=Uw0;@Y1S%Kocrvb@e; z@C8i910Glz&AUk*Jj!^A9i=pSeDKR9*>}pXywhDZu1z8{^3gE<&qWIUIC<}?&W`i2 z{~4k2PCNSov9S-Jrxjnn?gF_sO)Uk$kQIl8j{F@rD?vaqFh=@r$aSCIf+)n_+uNH# z^ywgPqgD=EHAJ*E!C}scp-H{;dNX5~qhSd`5q%g*sum~QWGzluA^lu&^%#Z%jTj20KxI)JOG|H4JazCSEjOg65!t!b)m! zk1U6Tj<^g3wCC30^OM&1Km877416=FL74S+U84nWx|iTWB%MZGwI)eiKc7`OvrSe) z;u?r%Aq<32YebmA_aeN`e4!#*(e*QLl_Rmo9=M^qbpO2Y^#yV(w;ogjsFni^DFliq zAhI1n+Ek3cAD-P`H~*m7oM(4Et3^VvuYyz)st5IuUtrE%dA;3ZY2=&D{<9aK@*Axm zyPh!msA6e^;djEj(G$lP(qDVOoBsKAGbUk!k1LFFc1pdj-A4gI0=)JgGS@U0Q-QVY ze49~GF<6A2;<9uPA%Ye;+ZIFkRH0{Y791Q5V@RZEz@W$m%mnpoJMi$AfbFyC7}$nk z7LbO9#ut=<>F?8#3hB>1kW^)9x2|<2Bx1!dAr1y(O0)Z7`XxHkk<}XKLHGfwxJ`}k z*V&7|VOAM%PUX{nUE>mnjhRJzUB!2mZzRE#j=XbEO+kIaP-#-j{p$~xjKR3#@o%#B zFM8tGePN(Wzr4oi>aoY+R68OQpL+3^w$^^-DKzx~`EQHEAp#XBRPXuU@2-baPV}s- zMsqFixvZuq_xE6ov-)8Ke(jCW2lUk#Xrga7(yYu-28)=SW~&{h2NS#eYWyGgT)c$P z2C!Pvky0-geo-Jt_T+KjmB4aUy$v6kE(=@=F=fRIbx)yF3?o_XBe&xZb|OB_9ArDP z9yJXPiVXupd88%Gl^&;#!zDU>&=*)9%p+)QR6gyuGF0B4xj3jgJE&@ESoHujoNV-E zPFB{C^XXHryG3;`bEaa5`E}U`nC8&PgA5=d5#p=}o9?${a!FasmkmrqcdzPu{J+Da zN8&gnvZ2QO2_tW@v1eKnkazBZZS&valH?nFi?8sjn}$cl}$ zsb@=+RmFHK8IAya-2?sy23$TUfA_b}={BAIyjb$>?I5(GJNgS^TaT8f9%C#gC#CT_HR22rb{9?#M>?w|_rAvFPk)Uq^t+$XFdiCiAN_F^BC+nfqH^?_j-4cE z`#tskV}gJ2PS}uOJU;h`P$YXBeq(yn-ocj7gj%`ir`Qc#nf*$%>6Hy8#=e&9YXc&D zKHQzXpMtSm+yCen@1&k!${}x=a$|!h?BZds&ndO6y)#bi#Vb~ z%XqfY<^*%#S%Vs(=5?F++>{5iP1#-vUaUTC6$zStV*6dL?}M5@Ch5@#Pp4g0fJW@1E?l#YH0^Tf3*-}kV) zVZ(Tq$o}Y8jeW;GDGp=8!k0bYHgf|Va&TFU%7*xLoplG<8mE(Q@fk7jsMMC+Wbv#1 zSlR7cEOGYk3J*qUzDNpp46%HL6+7cuQtXcbImauXjZ?R=rwDQeCJi%5$b6^+t6wSg zekCB@4|niyUWiav=KnCN@H@gb(YGb{ac%3>wImtQ+G6Cw0pFxQUP&?v!wRm_V~Z+B z*;B3%hdAIKaAL)j{a#NS)lGZP|1pF(L|O^GFY( zTiOZ4M!yCBSa8^S^%*yOx-rYMGew!HrOxko_d9jxTf!))`-M-JB}L8sN|75itNi2d zgCX@AW7~R0?WcCwDO5bRL>L&lEZ}{pi+?Q0DhyJfkr(p?d}mBuP^?MnX6)x3fgJQW zV>e$mZ8iMMDMz}-gC`!$$FxC@(1ncvb;u=)OTr_3JPy(Crn^@ z?`ZvJGH2A!snYPOsI3R6x9J#chewaPbuRvEJ@Lzh$-R38NjTSgPK41I*M6wazqe9f z=}7O;{WgOiUX=R~V}dJ7IZlQFKZUkpP3c65Xc+s}So2uDf@5m$0I!ld^_pDagBjxo zKkxn=K9@y{8xG3x(kXt;9bad^(u_!av+1Her=JEte#Q{1bXg;Mz9MIdLnoe@ZGtUV z9Xs-S$tHjtJEq)R^oIJiEWhJ5wR2t<%8)Bb?cVS9gwbV-$FKJh{(kqs?18BDZL?o2 z9ppc{8c@p_M$9=-)*o%Z`Z#VxH=G{hd@k|BFQ&&$GW*h%#gjji1!H00s?`11mP=M2 zhLHezv=E#M4AsN7n$)DJ-z*iYGi`4-@kCC%x~a0&4OP=;xLD!E4~E`+4~lHQr3JPB z?v0|v)!1i2uN{qY0=FIcs*UNs|MB=pDBvWUmE+!_V#P@M!F5zUQf>9c`RCWFmWZbL zyKA@5*hsJob(*v>@ovehUinXYH^it&Kq}pZ_(KcaxN~mA%MgW4trp_O-X}lWe)rPV zQ4O3_ebY6r=jQf9?X5VoidFS2G3qczexHf-$6H%LAlU4P;z=<=FhyHN@nYS&oq#;knI;#(w$ zffjym&-zR6p%94696J9KPcFk`%YH_T)^(1D&NFrMWK3bHtYTNtS)_m$P4Tp~^G2J2 zsZiQcR;>0%^wy_??24ylp@oG};|%TuxYx`M)_!qE*F+2*OVM$VlnOj8Bd%KTnPxwV zD{#227KB-(TGf8Ne2k7~wCrRu>~wk$lTJp6KMD!VsfpRODQ3Op(|Xf{?O)PnexFRA`d7*pl;lI)VO~u4K_b z+}gDs-==wS*Z%@JZml}vTa7!p>(ODlZ&&VPB;k;Wh9v1~7Qc4W2aQ)q{Z2 zrskU@a9R50KBTC<3??ezwQDwS?(-r}jBx#=p{ea8v1h(WK7M)6Ex}p;6(+-OEoZ(M z=YPJR+oFvhU`w{O;2LZm<1Cz{po_7CR~$5%e`GeI*?4Hkr5OtYwmZAJx%%G6qybIgTom20s9VfX^S zxFoCMy|eG$i!tXaAy*mJtDKwDqN-uI6RW*0i~4uikBqI|l4td+qIb2b+)MLcsNY8Ls4~@`MV#! zs_FE(yes8NoW-akjO{{2j3oB#oC zSYLCsH4UB^MM7^l|T#c6CxD$UcO8mIMmvD!{QLe^fCeTLQ^+DQd=-u{S1Q2tPL z&029?M@Pqf=rz=B)~+Q)3~=GpO>GvNKMhK~6?DIoHpYU101kq#@=v4I_e1Jxhj*3M zr*5e!)da}uy`*YBYq&R*=d#h5jlZu1+3ZU63F}u^4P&As3P#0wXLswhagY9W8h81R zxSoy9gb&|wa5i`)fu)F5)@HG61>5qGkDNuq+E!W_qfFE&aBXF>NQ!dQ%Bo__Ea+O( zr>M%>O`j-|64p$)#b7|&Z(m*cc=F)~I=sem=U%8X^rJ&Bei zUfsiF&g>CAdxnZmIrXQ^Pxv^YR)IILSsZZJ!)}g$s|xH>R5C1RAQoy!W?d&nx4sMP z``0+~oG9d;KzMZT_u}nBT&$WUj{3rtO2LaBJ)`5uhf!o)?<~IaJ*SDEq$MioRC6mC z`!)oqRBJv&RD^`n5F6TfpP?NeN+B2%A##$d&2-5ko~gTQXzt94_8cSpl_8_ie0t$) zx0;Vyc3On*U)Y{$CN2p>>XY|yZ`z#>ur``Zspu1C zP_B*WV^TW`N@(MrxhtwGlW9Rg!9B8p0L|6Z0{a%;cQgNGdjlh;wR4E9v$Kt*E=V%?&4vj5mr2UM3?mBhQc?+>%_A9G9mKF zjg+q0W8QPgvh;XASDJ1 zfgdE%|8>^|y>W;E@a|N(USM)1mT1m5<8QAweIuCDH-}5_WT5xI%OKHr=>84by{dCBnjeCx zneE}9lz;6H8*z>?s=1poA35JvBYEOa9p~oObwkoYx$XuZ;F$rJejOXTepOCQjRZ1p zYsBi#k~*I&7^|W&T)``KyyWk)2-lci@7KC~G-fKH_$p>35jr@QE{RW_^E+BP?O6*R zn~>U|o2i$x?!{E8dpZ+#Gxb{j37vfM52o+LTtba{lJCL5gVdFOQu|dub2@M)Z^DU) zG`nITZLn9iIoW?egn1FOP)cV;c66%C9GWSYINZXuW22)>Efh8u%l>3zOx^bCmBTOp z?K1%+xFJi{Qs#n~Uy`PghxO*oiOw66IL}Z31x(`3X8mE_%UQdewqK?BtHl2BO5?7L zwnEbfyTHLg{0!0nhf_ksz`6RYq$o~$O}cvjbW#aoHFuNjHsMvt4K^+MZ5BCJYJG_mNWiMb`H#KfN2=0%J zK$OTEyNM}gi(kH+cA`r?spcBmWxa~bCSgRC`b##;0OaoOK4R4O6%@FnsIF>byjvpc z8R4FJyXhtY%^cR0>unBd()1R}ChFQ|$-E~t!h5%FJ};QzcF>#okLPt#Sp0wsjZ5xU zku0s%&(AhAepvVV&#Rp2B?7YE;b8I3=30&@UGR&rI;I#1*w%4+Ja%W!zT0ePBJw@- zz)|JS0q#*G4pw>o`J{oH$hT}0zt|(TLJPbEEY}egnFw0sF-Yr9ZeUmN_np0y>3;UI zWctn5cBivXTG3{s;zwaQib}c`ZFie9A37x6d|WF>-R-zlG;F8jiK!EnjG4w)g*RZZ zzoqdXa-sLx>^!dcXv7%5k6ioW$wZ~-MMO^?qNPjdon?59jLXpZwTD2Uo!mtMCAK}3 zXnO8?TgY=-t4lJIM+8JzekT!GW-`_k5B4;Zu`$>yEqix@)r!=^W0B^S)G2 zsVynvK9(4x3#iqfm8B--%p`u6{vIvrcxygU3{`UJoOLwUGJ@tuD89Yy?O2)oYaW5W z;^_l1Q+2<(@~F9Xd&+>zh{xGDh1bJA;|FQY9SfWKI~-klPl7bKznsoH)3@F$2wS8l zD>)r~r%Us9fVwu%O`+d%`JG4nN;;HL$JA_4`{p!(O z`=twQ8;1`sulEt(9fcu$St$l!Y|s?q_|=Cr$7Z*mBhE%N7Kj~17)_wHDs&VP?OFOyz7 zXLx@6U%SgYy-vBewpQ^M8@R}FVVD?NNuE}rr;XN!ouhV3POAM+Q5g90cbiMB*5r+j z{fx0Um(K+OyulKuyI<_D>haTO!OQO3x__)fMTDE5u8ti=&R-eiQet6i7i4HJkD|)# z+apvbbsR75>&%l!5SZS30Vj+@g4}gEqZ^@b(}=D~% ziVPrnsZ4i^(E0t-FlRKa%(GpzV6tj8aD<+X)L0>X=a&WEO4KjTe>TALWvd+GN{*kw z4>gEtEJagJ?$t42Vn1ik9Uw4H$ku;OEfo8Gq33?N-G}YYk73XW>J^Nd3$aT?3t}+o zPPSOQ`Xl+@{@XMA9qfsVQcLhPLe*JbI-}gsDwuXq>5UEcosY!z*~{8l(fQ^Sf1V5q zqmhdqJ)}2eqigjJZ)(;3K!EM^5jk8e%?ozW$ai}GoNpa)8V?&4D)yS>Q9Rvjo-iNe zOu?rtacJfnk78U;X#2u!)xYO8ynB(|g#IhPB{1-0e}q3B75VQfx~VgFOzl2c4Ia7f zi3aVzmMQL+4#M%|UgvdfCurU?A;rK*GW(j$v!0#C7TXhmjW&)I`fX$`%Sa&N0rG&7 zVp}6T1EkUFF&a@a15@w-D<3eZ85&)eC*Ew>aDw`V-_Vn-(aWWbSfBfeZ%#^${)R6_ zu1d@=B|A-1v#{V63_XXs{1^Y}E68Hx`MMpafwOdWs$74}Cdm|uDz@|Z}!h(DOPx2aH4L*(-fbTEs zgg?d@IIc&RXVk{TL@syC`nS4uvM>$sr{kwE*Oi76$F4u*5Y6b?xTvvM5LA0%Z#7xJ zKdd2iFsd(;$P)%FoV`A;3j!)CDqsWkEfBdthVp16L;uvEQZk_}i8LN8r)qZ&n=a4u zBS0JMfA#Ug{1t*xL|$@bj=?OgqRLVhirU|uQ~T(a9$Z$w{S3i4ejsJ19-a>g%4|aEW5h9$7<|o#R9NxrVQCgNI2eJ*Z68)vucM(BQEZsf$mq+ z(mZtHltJ`IOBB?iH{CFv4%)$@J}rV-Fqmz(*g-1gr#-lZ4}ES^#TX-JYVNe)iVg2|Nl_-6oHEj~$t(Ym4Kou^!; z&u>>7@B|mAiYgmlwT#CR)lgErKKlrM)xS85tb9xcKx67no(*d}fj_=OXBkA2wvR1? zHQp!%nW96aWC8V!P^~B`DYZb24b2%CSl)+*E)1#aT>As;Y;XU3^Z7SdKq;JX?G{lf zAhM_3wuFUe0`T`g#a{C)yB++clRocH71dT6+dyv>5zVE0F4p(yN81*w?n(H~=L>?l zx2DK=p(R6w>Ptn*d7Tgd^9#~BMnJ-tIH>{-H+^SwZplFErGIgDe6|zewEziGn#0;K zlU8jM6b)AQiTrYBu4LY43)cOUek1a1vB2ZZ&|K=>JiuCHfV+iyR;PA$$oxUf~VDRJh94}Y6{M#>A{{I==f7)D-5A;%895DJE%242j{ zBL^b9h(P>5yl}n?ks`ck&Ro_`uP)ZgSC30gEwQ_U{GZZDR@1~#p77){Detvw*U-eJ zq}Gzek)P&Pe)a0HuI?WPs)6Mg9cw=FBw;rqFE1~yjnx;wW(v>F+=06RI=Y7)SrkI& z=RT+=DHkuC)SQ3cbSxUAvhKnK#l^*y)a`anNvER8e7`@2-gQx<dU@PuoS?EuOHKV`OU=>&iUE}F z+fNd>Ox^)bFj>Ii4HS}G+ier8tE(A30~4}=$ppJ0v&MhQ5{2|8P5Lvg0Rp3?y`2+A zK1`XfjJ>*h_b$SibeoJU1TKLX8gyK1-RDgqmt|Q~a0oeDN;eB8$7f!G}uO>``Mtz1;=A>jDs1AF6dQt90CW%?$vjebAI$rRcN(kU}0T&wjYPnJ4^Y0XhceGDYS~ zVZh@th=^$OljAmIR<|zqXAZ&iWWgklUh`FMV0=oxQ=@8QQ^r9WW_rB4sBF14T$Jd# z(@MN16k-43J!yA$H^%)355!RqHjSz#)Jt{I0h;}HV?uR{&ypJ+r(^_W56DX+#)>dA zi;G_c0LNR93kMAE^DSx1Jvg4AM~;Wku|mGQJYLBN5SB(TCRrC3{#5tf8$b;&HNe#{ zUoFw(d9K#vDGZW%n7VL;nvYk!hZSE<`YCMAL*`gVQ84s+(b3Av3dU2FP%c8K+M-+n z+(2K@BnXBDL=fa~m7eJaH$;^#D=X{h__z%8jX^@V1S}f4cQ|{07hTqU-QS!_tg%D= z{%WBCvcT;+7rVp=1PT23&f(#R;54(K=NaEt<0%X9tzxs*Z(o_HvO>M5P5EZd!wHE$ z*v=Gepw6BigVn*je_P>f7H&O?d z63Va{1_Wa?khKL4jl8Kkr#j2M3d_9I?#@nmI7lf6Dvdefm0-sfOdf#Tc7ce;$#PV# zBOpU%!tQZOZjo5-L&Yo~SZMxzhpnFrbwX*t2IazftWxw?gi{LVTQ;3LUZczG&joU~ zyhm~=g?H}USrrQ5vYh<+3A8&6f4-8JmtO@{N>`~o2N-ZsX*z0U{Tn_@1l0dF6y_}F zXwL_@47f<6dkhBz-xPt(1)lt%x=3@vt_phpUOqx-S2}tEKulh_um_Uw45d_5a2c?X z4E{Tm=2Vc2BeZuMdjn0amYyCp ztZyb1@!%G#XJzsMKJOrr@K`QEG%uhxhJ&1VK-;ZXa8Ku z4aCI}{df3NsNIlYGv7Akf_cww9upo8sDlpfUlP#1{P6MPQ)%hzz_BLq$Swk8zuCMl z+!4Lyv-5Lc%|pA-#)c0@ojfpA3uylouz1+TVgTO*nR-;BRiobi>X56H-7Nr2F}6t^ zpPc*#!R&~8y!-!?AWIx*z7TonrJwQenGlE?*jy_Dwt?;B4Ezq&FpmsDG8qhfP{LQr zbpK@6tTmfaFL}01{G7bvF*?jAJ0CB`f-*Po6yhRP)nN@Qc8?Q#xKa-YN6SC&hm8V; z(S=A-KYe-yXvYgq*&IBJIxt|oSRP&VOeUT~V$0alrt%Oo7p51MDSDVeH3RH! z5QeC8oE}tZG`Ln?8H5}B3n%sQ@$o8zJW8;rU8a@!0LaUSu?=}RGFQNaL9;v;G`;hF z8kU<57se;B>j!l8^b9==$&SK`mbwcugm@;c{{L4H0fj6iKA@ENKZ`?fT0m{p1bEm0 zN(3>}H4usfB8xO9ChAoRlgXe&+ja^k#I>zZWKI`Yo#r(z_G^fZQW3LgB3%#I0PtCt z0Tc;(x*&G$58V*gx^HG;qgDH|4hLf(ztRV`pw8<<%4Raj#Q{l= z+#NYVm46W+LQBWW+SiaS6v|~uN?kD2wLVtf+1XjMV&UiK_h)Nst4(QBRa?8*>1q|Q zxMjK>Zkmsl`dl7fUQoengQ0xoN#Gm=KQ1<6j^iRaa)45!m$0?vKo~N?Gtd7@7Yij} ze+OeQaj=~xw~qlFc!mx27xLw z4+5u*&FcAZ(}oM=pF!ES7-9M&BquLy{_$f74x@sF&b~fX;3`xQ5fRCUxs27Ks_FbM zc*U_Rk`u+@aCYQ(bV!egRBOI`8NN0%blfmSC+Bc5(zA|Qt-q)|nD0|Yc}yDXXpZ-0 z&CKqL*bRAji8?L+qP~_3JOv{b@H~{gU)R_!I;6VME5bI{y1WDlKX z@ux$oRn>&@n>QH=d^Q|T+@F<0Hk$Z$kUveVkv_3N~BB{CgdZKX}wPKp8@8lj3 zU3;-JCmEk_SC7CDGGK4K+BhE|c{ZON8P8!53?nZ|uj`%5kaZLm)}nVXm|p^i`wF5} z)7D@@Q+T?j@R%6*_|&wjt)I{R!6FETgl?w);Uo{9|-Kf?#@&M}UQRbXBcB`qW$+wzmTrF#-R0KQw_r;Sai$l)$ z3eJ~2REpb63L)oL@KyS{L=++|LVWzR3$VNb$c76b#Cv6ukPTjazUwcv!t!AXq!RR+ zE1kBqxjoOE7s2qyu|~S>Gc9I1{BIFQWt$-OP&2Dvu;*4MpR&4Mk~r2km0lrlzv?ri$uZ!@^<={E;4|fUHayg`f)9A_UvmtGfpRQoxi=g;V~1~Vi=l)$AaJ31aXRM|jCPDn*n0yE(R{5Ll^DCkww z*&=JnF*)*>gy1o`{=YsZHHi7)bk47+_#1GVQ}(efFRD9Nd2#uaVSfT{gjjd>f-g352ol1+?EWEs`$45s> zoz_J%BNL7e=2NxG=%zb!ts@?q4qjFx-HKD^4xFbo0wrE6?4mOfqE49`N=7=G7q59w zek!BRnYHWHVC#PEI`0!XE#x4>5{()CVs;N33ey)+&9@IUx?BrC`H_#{AzIlSJigLDTkQw6Fh92E%Kzm19 zZ^75P2Jv%lw*zxb9MYEZJ`s(@1O4`J2x^{OUYu)H#mhW$-Cu15P)_maOAvZN287`_ z$EFfV()$s>ZZjtiNO*qNzjScS0eNRdmmL&mR>mvWly39KpeWx zfh8K5|M8x0k5GhnDA8`vJjBApgvfS+Y^kRIYk?TOa#6eT;h|%L(9o0)Z(XX@-xF?| zhK=eyPR*%9Ua(XU>(p7ifXWh*o*^@5wsv+d2V+JnGfkp!V@1PmO!V~MO)FK_%0>tX z2!6nc_!G`26Hsc01klTp&nK<;V5^6mCckcjtme#ay|~X>i=4H-p#dEg$7JL1yV|4$ zi6{f`sCt3)P-nw;V+cZ(;bN_Bup2nUaJ)_@W}G4C7^`()gwP4i9R^gzB_&l{Qd-~S z?Hs(WFt(Xu5>4e-m>S`Ymr>pXbU@$_o2ilfVvQ-swc(=J z1Z&jRx@2li;xV~zxy|0Fenfx1G9wxibN;HaGeQ`MN7i%JZs6b)aco~o;(RpY_T%K_ zJZ@$6d;&Q#67EBsykrG;=1`@q3JeB^77kyvKF#}6rp^}R^?qg5uD|{m4#=t9gcNDR z7u>cb4F{y%G0gh#RXhOzeD=hiGccUu2?hp+(MAu!jftwJRYxw_Os~re*nVEr{QURI z$9{f%_`-OmQ5dp*SZcV(0tTeGHuBS;Snfxk-os_;EFmeI zhagp%Qgup(oAAz^X7~$2+e^p5P&;=4thRraJgr2XfT)z>^!Sd`x|EY=!0giW42;A; z&XNVzSUdq)k(|4`dvx9(@YP^^llzz8_CF#dNNDyOox@es0+UCGZ=^c>fn3W zJJ^fl+SWY*vW|{Ch~dJ2FlpDv?XQiLThBH#7LN{#d+|I`LU20ZANV~hHbD01KZuo}}_%Jnw3@FpHusF&- zYnX)G9cpR9z)D5~aT1J-+XCm?c%@k&q*ZV~Omd>tPGBLcG#lC7tlP4M`Worwbn(8nm7!OSzNn6E<+(B2;JVPyK z#wH-S+J*^$y5iD}$r^%Bo#H^FlwUs#g-wuNxq&2+f6j2VO}~wr^Ju%SJd9!0!TnSF zCE?R2F>7l!ZEfxP^MeVb*ak4|TBohvT=~pm^|dyL)NL1}A&yqBwx))ks<4_#fg9p5 z{&oL98XA|Al^nAQtEmPrtNn7j%o!~QQMvzhC>5mcAhRNHq$r>6ghg^$US)0gdk3U) z3T-ElGR}|LKk0##89--EDePJbCsM(IKGxN%+u-W|5jv-)%0Xsf)p-1fMk@TOF8Dbv zi}5Ic2SvkCLvZ)5c$MXpCe~qsCEg!kr7!^BjNBTe5^KZQc`Iu=JsMUGtw>7S7J5$% z9?9jt&ZUH_t84TQK6j^m4P=|3=2Wp3UWA+@keAOv9J%DwbV>nUBNJv>0CS%VNx{f| zb;8+n@uJ~jtl$BsriZ9X&Mg#b^7vkH?Ni3)zhHAtSM2DTA zVfa2cxVgJK1cnfP|NgC3_U0OZ^|K+@^DdtqDAM3XW(7TuyLEooyV#9*!0-VL7grRF zu4$Ls=(Cah%bhm9PUJ60%gDTix=__%Q96n}8*vugZ* dp733WDr#vcW&G76M}t4lBwmUaKh=HrKL9x^MG*i1 diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 80a49e327..ec2a993db 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -362,10 +362,10 @@ for strength in noise_strength: plt.plot(noise_strength, error_no_zne_no_twirling,"-d", label="Noisy", color="#1f77b4") plt.plot(noise_strength, error_with_twirling,"-^", label="Twirling", color="#ff7f0e") -plt.plot(noise_strength, error_with_twirling_and_zne, "-+", label="ZNE + Twirling", color="#2ca02c") +plt.plot(noise_strength, error_with_twirling_and_zne, "-*", label="ZNE + Twirling", color="#2ca02c") -plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2} \times \text{noise_strength})$") +plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2 \times \text{noise_strength}})$") plt.ylabel("Differences between expectation values") plt.title("Comparison of technique based expectation values to ideal") plt.legend() From d07e6301541ad6cb7e15058791d36bbb53d0bbfd Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Wed, 18 Dec 2024 11:46:21 -0600 Subject: [PATCH 05/25] update plot --- docs/source/_thumbnails/pt_zne.png | Bin 58468 -> 89560 bytes docs/source/examples/pt_zne.md | 41 ++++++++++++++--------------- 2 files changed, 20 insertions(+), 21 deletions(-) diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png index 25bd3870c68aae71bed10d3ae051836ca8768a1c..e71e42ec371536fbcb63b3bb95c2787fc60901ad 100644 GIT binary patch literal 89560 zcmb@u^+S|j)IAEQfP!=g(vs5MAt@yYQc}|0-AE%P(koWx3V`k(Is&-u(dO>vSel8Vqm5tF}An2w&P)BwD>z{0>tihla$oP3btSV ze&7#H&^iv4<)Z7-x@aj}uhS97jwflgp0h zyqYH)xxd^i?B^cghH!IJ^;50nqYERFV+4zmMSdp75L%eW{0+WBf2<vj;_b+6-I%F6A@;Mc{ZEN zDHS9^K|!1Q!&**@DNmi8zC6ogNnz{gMQ_U`6(Wu_pFKv1(@~x+*H$;jie#NuS!Z&AA2nkqx#7yza-DjPn;wmG1Li>Q&Bb2 zYuA`3z;r#_o=4ojyURiBe}RBv4Q@0lIr*Pe>!Y~4dsD+vs@svyN{a{G_o^My-DwX0 zA;Zj?8l23rpfO|f!(9SS7Z(?p@f3HTlk;=4Lz>S`f5(i!AMh7WnLeYZp;`nh?p6-0 zth83=j*{Ho-U{tE$GSEXHMdAsWDb4(`t@hOzUiS!vU_3%`EkQO18h+1)7@b1sbQs> zOahCT{m$s8cgXOO$;ot-a;XP~I+9<$;NWUl|5OFn{aH>9S3L9U#lf5+oqCN7B5Bu* zwimtY)d9`JbHtTf zHJt`yg!4Bf%p9+Dj^Y4uGjnPa(|}rz;3z81-e9sG25@czRxyG4l}_YB*LBf;=sQ_ z(hT*Y@iLU?*w_?AAi;45B}AH@pYAimhSqtr+x4%uHX)lSC6)X^@i2S} z*NYv}>0))NVXh5i9X5P1DXCvKtG=j<;p&>2^r^Kp8+y%l`L4n^m(f^_hQA3m!Xv*UnJ!YBSbgxbUZlDjVc@;;zzY*+wq6xF z?IredcGvW1UICb+$LxAxj7~^M52Cg+U7Y0FGJIpoec|9WRBtJaSpK6O&gSVB5&||+ zhv}VYAPQkuG>szuqs+N|@d0FG-(zmlticZQ#bzr;?O z;0-_o=pI2!izSC<<;CS(rBOuPLB*h`xp~pa^))Vd2i*?8*BNzns)(d~T5|X7RU=OK zSBL9~W+mu4IyxCvD=m91kbeo8sdmoJb@5C(K3w)YzXwkbSDY4Vt#FM}U2+f+5z$`1 ze!X5jqh*(5W@wmGx04Yf`s2snpzv@UfSi9-o1DuBjRrs-H)-`^+7Qo~{Na+3k-;M5 zu|IKXdJOY`#^HL!OM4N(9UR(5Z-f(G96*Ey`(3j2jg4-*5q_#=*M0iP_;_j`AD=Fx zG!M%8S}R5^k4vS~y~5I8pg)b3>q+3&4s``%`i~i7rSLdla4uT=#&cLC)}3@9y&_5V zyfcZ@qoAM&Zai*Lmr3G~l}X`ILdIwN3}b1fEM&hwEekDkC}=&r?+2OEy z<_*YnO4&qm!;w^aEw@8CK8!oq^C+$~l& zH-`3 z8VX1dN?koYu}`0V@>qffMMg^c30h5V$IU8D_eYJoHz#XwXv7{Dkvzku)djlG?FhtJ zphU31#gvZjU#|a=X0S=vfQB1}*?vd!4IrM!0EcB<&C9l>i@+ zfIgtfhM4ZYmYtmq?%rAWUoy8M6xYcqDWSU(852X{C;ze+)X7Vdqq+?g2Vy)tygdiI zr@z&6=DPplnW49_VA&`O-4PA@F)=taXvPdK!j9$25u+0mGio`ny*j;GunIvT&f`|G_VIjbH$M3zl;VYuI>xD8{%9+6awr)Npl*!W%`sU$VQEHhRT&d5czZG zFSIHpSRmtSU?%sujD`u~${+78F$sAcu}Yh-5}h9}XT-jJiv}QTI%%*YNidwsuinhL z;&H8c3byfASsBw9U_@~<)il@l0D8M+IhV+xxqJ#XKNxf?2^i>xGHkeG2eurP*3ZZy zlJ-OpGnO>$ef%%{Q0AfGvK0e|7QuJ+*>|B>qh5jUb~6eN4HQi4;C)U0`e>Y4gUh)g zItB(A=z-mv{ZZXuYr6F!_$gg4_p(b`w-e1?l0e_|a+!va5m&e_q%%300R8=YD3o+7 z%JEa=d`T%-t{hHFxw_BMZuKPN=hyr%qXFDt{`~nCCJDkj2(B6qDn-EpHVs+WQR%5a7E&T~VbPyh^VUPro zi)bhTw*uir^tG6Wsi~o1;(j!7wlHjyibJ0kep6!hztEw9o2 zwPvH^Vb=>(K9U@{G=`o~ybmy^8xev98v}!bVgSEIg@nAFLD_bJY@vsLi%))cvAc1W zP+`BTFji}&4Z3*t@Qf#6#I=BJkCBb4f&!VhIAcJHY!b(7p+%5r41>fjo9M7XE1vhV znufJ|vy4G#!gOjCqA+A6Btisy&hnZ9cH1(wsM?K)&7h}G8gL}ZYFM|wg7(OV2X_Y- z0|RhVrel#4kypO}^GHfyLn0puhocBk9@MnP2-4G|(=?L!46q^uct2_ErQ^`C_;4{$GDbf@yWP0l92Lc*yFEq^|9IUnMjGGJ$C zhqeGRN=os^vQ$>1@KMuh-R@u53=1Ri%$?mn%}&Q!(2~iH)7rz?-!eBi!?9D<)I6+N z`uPIEueG&x(7~8`yX*;f+~*b2OA;;jQ?WQ36%8AIAUJdZ=iFlv0`xD=Ac@n;vHZcM z^U2d1M@ATNtl7;e&TW3ij*rNuPPh9FY!KMhMT6wWxKfYX+7(Y)m~zL%dH9iH0l-Ze z1poXB3Gr7h#8%OA$qot&Q|evvdVXZU5toBZs{Ydf)FGt$9Kb%Nw`!fWj;~!2Bg*0N zV~fZAuf#-rhs8i*&mG-Ym>t*mnuymU%%pzrI4zSGBAm3l(;4s0jvUTwo_UX(6ko!_ zbC^D!;z&$=v)LJBC*-!xLPSAvyd6gGxU|bkkMF!&KY;?O_aHkxEiGn#em-afVjgny zBjxI~mJHYZV3Cc}N6oa;jb0?*_P8!0Je56UE{W{jvJq!u3Psi zz#XCE;!-iRKG-_UC0VuXUU{e~DN!^y9`5D1;D>OVA9-wsj?4`Jz=nB=fN;f4;Fc1x85{ml^R*U8 z+}o`QWR!t#D<|8mggGlKNtJ9H&!yJId*>XJu09;)8 z5Y@EXa|k9r{s7>Khqle*6BDoByiq8P<6qtd3EF1Pao_a3vttZ4asa#?Y@4>%qyLxO zjWG#g3Qo>AaO-eopilx(i9IzaSSe-Vg#cZ0UO(- zK~d>7Z=Gj&OmwuoynGvAXS1zdf`B2(CT5mG^S-dv>mJevwllA&NPnh8Q#RGg&iEj4 z8v;28Ib%IYUt8x6@wQ6)ka`2S0Unz%T4x}tO5CeguWWh=oqi`I^oJAjYV@qQpARuy z2QyxSxEbt@XNM9Crh;CcH@LB}Q4a{s?fHn{)ba85=xlQ0`J-X4r<@0nNIVSGlymXgB>XROvT(UmUeI6yjj27FI7olx zeA8AFmr+YbSCMZB%k0zkUrH%~`_;FdD5`S-LlzP&2l- zyBi$`r>ET)K{Iy7i*=sS6m$agEi=k)y^v*S!rZ3kv{hf!8i_Adb+^&*QKM&{z=Y zad5GfU~>vYN*-kN3pxjoaWQ$qv(M|B^W6G&w+;UbyndX*wn} z9Ox(Od0ZVWNlQw;W@cu#oGAiYuvsfpJPaycA-9k;s*fLk0sZSICvfYRn3yOY!K~Yb zs9dB9OHF3o<_(Mdj>$VH2>Qe)6B8N$_{xIFNz#w|I=I+jnh|%irFOYrQZ!=kZ*S{8 zv~FEneaS+>wuJQSlhM(Ig3M2KKa=z})Rfb{a^jn@02)QZbvGLX0^EbJy?xc4flJ0w zYY#}!dBIAzs{@ygaF>(SPZ4SNEuJVhwkul@h@zU>?j;vTQW(fnPM4#W;r#p+t6`aV zrk^^U0X7R3wSW>0PN`@QHMyK?_~|Mx<6cV2${GM{{Flm~1QcCQ*!$l5{1k!xQB)IYJY+Z-h=0cZZ0r?*>n^YWiRBLb0R zzECp+N%1{yt+VIRjEY4fO=LrrZ;@eWxzQC5C+NS}od}MI=p7k}fCdq8q7I9u^U|e& zy1jzJcg(sk0nwnBj$_yY+IAJltqlP1Yfb0FW@miODRyQ*yrKlo`aS?C9Nvh(<2(ie zA7)FO&vx^3CF_Pc$NOg2OWnQ6e4?3|=e1D{Ezes6s4B9o-@<{CY%(%3kTZNheQ0?N zr5cAr1X}O*3hQsTljf>SFg@oxt;h zUBrF)^J+P+iDt7aI}$E~e*YheMcYC8Ca_A8R&yf2%u+i%0e3FI!F7RwQ>0q%10Ww5 zO7Fmvw8}*!q@=J(Lyn88yA<=bdp+FSU8@=;Ejoi$-6Ld4)fVIK=zgouH#Fuvs0$)a%8jVhfno~ zX-G)Cf!g;4RZwm`Mux+v^>4A>4zN>X5L&U^3Bv2^HW1i;K-IgPRy=ygv!&~SBm^W} zMHSqZq@<+4$OK-}P=I*mT5g)>+0EUg7h~0h13!ANnZlP_e_X9TfY^NnN`)F4ZK=RR z>M^V=2jzLGf+1vS$pAb{s-~d)AwxY7fW6Y!-hk4<uqu`s9cW^O(Hi;w`|PLkW3n z`tPfbK^~3d9s(TvcQ9A!a!}rT1LRTymkk+UN44s=K7f4G{(-qHRr&rMAJpS^QRT4d ziG(=#32Z1(IHQ0Amu@s2ZUB>4_hM(v{bEdlVK5{lMDwMxqJ}i^F@UIL1Z}up74?vz z3e)8|0$@9oD>={~&s7HYM^QC~o?a60qZ1JwjS+rbA^RO0+r!xU&{3w->3*lf4iGc| z8LvZ{vAGMtbi2chW^bIfXTL@5(ze6<#+`crDr$|6^m2TsFJXYYw&{y1AWuKOySw|A zs4=^NZMO7$x!Fx~`QETH0r;AuK)yL7lwRL=_#*-KwFWBHsT_@MQ_CzU=cqJ)#^UyD z3kwJ53DFOIDo<_Up5@)dK>z}=ruD$13c&#|yC_QYL_iCpYWg=jUqo*sKWC&kdJ zu$a#>8UBlJ4`FOUWP3a(p{IXK`Vw3lL*j-rNDM;&aEPQD+m%);0=4Dzr?*pCC^QlL zSMMmJf`KRwTU^wry##_8lsGR;ve(lsjHOc3;oh?k5`*!u`+I$$9QX7{Uryx6b^^!% zSA`@$StXunb8C>0kl>;bGghozm=w%INg3eh_i}293o1%Vpu50Q zuYWF_Vlf!N;-vLE-~Yjqz~{(5x@&LQnzucYc8noyva;-%8V0r6^s2vW9!Yuw>mMmh ze1a~df)kkbfSnVZZx3w@GPZX8U}ExoaE@bcNzJ4JbA{Pzv$(-(08^}9kC$S`!0nPkG$%Q?Gh}3CDVUifp^I0}{R0^ZBgO`X7$=|sFzfgI z7B|ah-}+93`T`!Agoh^)z=OQHdLhFz7_w|Qnrk0BH7d2;veVJfm|R6@XkX7P?r)ns zS65fdqzN>uomT@paF-UO5D>e609wV11ftXz6+UyrwRoWvsZ|Cj6)NWse*F0H=A;u9 zMBBuXI+T?sB^)|!0YY(@!tWzsb)W(GtaSz!>gZ7UZrpm(e*9>wuKb*OcImMeJU*^K zhZ8bb0kRDUFwO0~!^Zaapi|?4Re+1Ne8^Ag_qVKU6yh<52O_4Xrsn?qc)eG#w`Upw zv0zE~;>sl+MHdLL(j5qBXcM$tYOn$0hH+p61MUqSv7AFjRPLp&b|(UZF{#b~u`RIl zXE&QZ+09L30dW_PAo38F>oR7ma6Z)q265kNyYDUdoobaaI_O_nd&3Q@K1lIA4j;i7 zi(y8~jUK2qsJmu=FdIp)UcqjWzH>x({ntz5w0dH#B50RiH$`ZR#gVo2h!SO*;N85m0EL*Q1NoYtH~CHg@{~`3B{xz!?S_v`3$X z+4)tgywQeg`9lB58nGIm&P%tt^fP^2-lt7IWy8fCeZUZKJXJ8OlW->uJ%nc!U zczA%)ACMp57t3qEXiHWn6%C z(dy+TLx~AE+8PL|g+1{VF$plU1i_n&ZgC;1zcxYd& zYrbk(J_ara3IMGThK3-}aiY%7Yz>DJ#bjhcdx@>X*7lzg-IfAS2&J5zxiG1|Y=Rt+ z$Q)xb8cyDD%)fQj=I{q-7YAw!dNELAQbAF%|KC6Tu?#WO1)2M1D6B)TWCH@}6~oos zEN42yl;dj$8e0%t5Z_VjvnSw7Hy0Cf+}5iwK#NtY!)e;NfJ(Xr8w6!IV0}*4=F|jM zBd~PmercmiIRE@%2ItgLu~o_y`? z?F3xb-eATT3x+Aaz<0}%EZqQ`)n8>YQ3o7B=hdGGK@kxUpuSY1+>?v_!NUJic;h6a zD4~N9P>N6+KheHP{FJ+NE*OxMAgHIBm6e4E{BWpo2q3cySj!NFSfEb-bI!AJa^8Rm z>KG8x@F72D5Ugp@H)ya|6wwc6XH`!RDn}Y(j&F7{BSZnyhnhn>^VNknn^AInINKNY z<`9P~1rA_1tpiPq4W`0hLm~k5^yESE=;rO3efCVT^-jN1VV*@iP;U98FkCu9xbU~CY_(1 z3qENy+#1+{47oG`(_nl#v9hSBs3p^?*Xhxc&cOEfliGlGdbUM-*@D>w{YR*(Y zZU7rfF(gBzQ><)oV4zC`m7g5w7r(T$w4KR(MPIS9{f+#;C7e>y(qh1ygwfbDn+F7{ zxq9RtL~nAv9nf%Wzz|QJhlQyPz5|m0`Z53kIDp$@0OkY#SCn+#e>9q2ovKu7^+ZqKbSU4eM` z*v-nB)`uTtXZ6vdH|&choc60rPq4D@SB^Bh$X3_o9_cXagT%}4)-9{ zyMB|3Ov1H6ujhM7(UX}{TEKUoTU%|8%S6kC8d)et08u9cNcvc|G;XbHJ!8{}55PRE z@5R$w?525$H6C8R@Ndt)zifQs=EzRjf{woGY&JyY<$oh0BVz%GbEH9?nKk>GmNVQR zcU*h7q6fyxg>?Y0MS&t_dWQ_1ef;M~17nq8fql!ZEdlsfA?lX(VxU-FXO2;W`t8~o z%j^cIzs_O_{0-<-WzWd?k!*Ikg$gWZ#tga!7>N3TVH=Pi*g(Zc%r?8#^7K4;s1VDg zrQKg2<3eZE&@Be7ejPMO94HjPOuEJhQ?sLk@O%d-P1)9rcy+oc;m9Ujm2SLfXgeXx zc?wv@S1qmOdBw<^HbAl@KYjWX6_xbg=@0G{XW&)1?4$>B*={0&2_3!TBBtI%?EfA# zVM{6~_!tM7nwkQ`mZ&c&Jk@zjew01`=jg~6J}3(S4stFqZlj~4Pk^CR4$fYbZnb}* z{68m5s#pNr>RlboxdWaBL|lW@@i5@tyW@ui**6kh|93THmhJz0m}O}|w#~3IG9^XU z+S)qALG^zQ!q~bal2X&sfykMZ$^pn-1_?*2{#{9O`e7OiZYV7S46xmpjRiDuK$JHe4!oYuiP`YO2GhU^jP^O`p`a{! z1$m{v0yQCBcUUU8b_?SRbq4+P-x6uxFG1#$tD73OmC|~o$SuMYl?jIb2gad*TcOhl z54v(ED4xE-!Se>-LL!2(q|!4A5#Ov2D>SDh)w9Y9m9zwQo@BT zgUk|{7O{Ver&Ud=tQqrYX@0U0Sh?kXUOHWg;;;(d)VCREhyh4G022utFPF=t!!3p8E1FeI@cXAg`hqSyf@P(ZDm0f zOo?2$UmUv1;NOeil2B$M(W#qxd`&v5T|w;a;(~0 z1o;@~`%ni2oT6BBaF>;R3mVVfInWT8c5q+5&6{UEmS6fEt3Xq(MTe&*L?{;$@$`g< zUj!qw(wL|sEsplBD!{wp((amZ!*>s<`AANWo^(J1Maa{Ds5$m2Zocg&mC4l)y63Rf z47ofM0vVT^%XldqH2Ei5xVQen$E5b@REM)vzM+xLOuP2Q{9zM`isQu^^77tOrW70; z(*`c)=5*ZL+(fm&GDU($6wDL}(>$*5fHntbwrn^1&`W!vo&@6Cw@S~TdYptuM8-LS zvFGfu-0+FPS+pl~V~YXQ=kI!qFl?&m)UmX!^D<~~9>p7t!bbffX2X{af+=&CZq$Dd zAeel5Di5?Xus@0(lKP4eUQ<6~!@PwPxeVVvR*io>avJ zvP};j^s#piE@r$~ozrkQxgRRDY?6TNXEhlozjQG%*?o;0^z%DC-UqjoQ4guah$)5P z9`;&2X5vhvmD`v87nX-KlH`A){`t1ft7^iITsJ4n)neOaJuu0=bqP>;_JlRhF2Y9} zWEUjJh6{QVl=Jsvn#!Lybs2-I5%=nKjJ|PaB=kie5-1RuCJ#0t%dqx{`_3H@%W5@l zw_u~ELJm+1KQ=@y@Qo}rntP;&2;IlTWkuGuvsL zJp(Bs`Lt?AwNI|rYXB8*C4I^mUAT4CEn}v4;KUXLPzr;Gn^PFzJbOM~szB#NX;(Vc-{%?}Xn`<&l1$Fu{MMmM16fU< z+dKF1(WYixk(HN^Q%;T%B{M+@L8Z&dYY3`ugm8RBIh-4agpDMBN%0#k8b;{4?+6;C z>-!c25^nN@F-ap9j|qEaV$Gr3mE@7gvk!d40>1}qo?g;?SRIh#QZ4w_@wvvN{y~+Q z)?Z=XaNOz|9S5yAcJS7ACXSEuf}6+RNdaQ}cM~RX5Cu~gk(8M_a;MFhTHs})r{4>& zlfdDD7fOwYtbS!T1=_R8t$5zc2EB+k>!u95cJ!k6n3z+zDdN3r6`lHVMzoM`>g{nW zD_wU39z~4v!;v1+&dq~io9|@5;rZ+kjbVq8{uUfyO=$4^2ov#Lq_2p-M0w9oWYp(3X|aN?oCJ?$LAIwF6gAVZmork~W~- z>xglTE5j?oMS2GVSN+uWPB>`d_Jb*He=$RDS&dJ-W+_QCbpVI3nqHH;f@2 zaHdEmnJW_L5ft1xy_bOt-*64|3pzsAzrtx2l*Uqto}B6spnJ*L9)C zyKv}K+wLy+cbAuHeR6>E1g5)!f`ahp&wc%T{F1c46K-Mg?w=#t+P=x;3~xdhNjbKK zU9a48t8*zMKPUDrwJr|*D#E_me^7H6`uJe)Nz^;%7xrX#r-!ZVS>A)Wa4a5l^rq2s z_51+4=_A3`SdZF+v&j42_%^9G1%z8x7(+NXg#F?Oqn^}p@CkD&F@vGWd;v;ImBTwD zt-6`{C3bP9?B7FqKE%XIT^KuyV-96+DY@g~bxus-&9+8Y!wr{|TkCy=r7>hpdVF*t z;lQ`kq&$94Sh5~b@ksYiyH~SUsxG&#%SM;y#SBGPr5K}g`)uUtyu4}UG%Lfb)K9HI zaYR3HUoAvBhx_-MU;F7PvL9#}0&GDlNe{Zzlm#gi$AN~RMuBpP#%?83^h0I&_d+iFn-4Gw zibtLLd!n9C7`Ep)W9es~;9e-Iy98kL3nnif%2yFLXxa-q8r3dOshZ7xt@0HZ^H@E> zryl$o{*@|7%2cZC4FxOr`sj-Fj+Fy3|HIqgtB6W_s<9C{T)svM2q)_QegqsmB*b;f z=-=+%+U*dAeiy{uPmdvxvPAg)wqN<}MQWS(!K zP*Pa&HWwu3z6lw!M;nYPc}=((uNQ2|v?Nzlp7M?xNa7P4$I%$ry&T{;j3uj!J1`HU6<6cLWB%kHUlijE%nVVkmR^s>d`uYWVEpaG z`&Qp^3f933^PeZ50h0KHCv{_I)J>i<>)<)3fz0ByxT1Tx}wb=Unv5A4RD*P1yfq% z;(NTp4@=lAe9%`Fmz|UG6E^;aC0GRiVUW0gzDlD8|%i9jCwojfq zq;I+0sjDS8g9;|v$~MkCVvpT0Ml|3rJHZCN}Qgh1@? zkv`^CJDbgpqKc^TNTS15MIe&bTag@okR_LRIWBM}qbnO@uHl8ETqyDlA)#Tk@fsNp zZr*J!H;WzmAqQAL{()YaLWZo8P+5~*NyLT|@CTY|gOo;UWDzQ~+zZZNK$62{fv z{_nx8CyN8VvOYtOUNIhAMo{R*Z|9t`(dMPkELV(O+7LMfea@hx*E1fk0-poYug8Xe z=<1Ju_7pth)joLenUtq^Nx@A%cP_dAn7-n`5K^-1`c}oErJ((vf$y;QCnNbZ?eS9# zC4#H4_p3JVGne~*-;fsdeQ%$J+mblSPGJC?E84U&rn!FWV1ULzZiYq-~hKzj>Mk`gF8r;*sQKsr1tMfj zHW}S17xBsBl?Kb(2VX)x)Y6~+sKN?78W$xP8!D*?ytqEYsD5GDjoarzTWDRqXZn+9 zB{U4mU2F4m)|SnQuF{lI+11Rn*;InYh56;vw#0<>8*PR{FZg?W+g~O@Y|F?o$vW}0 zw0hED#eX^Q;Q0B$_yi8$aNeKQo}LBdAB69U)~R{-QH^ibBYy`349MBvlcV1Pou%Iw zKTO$Z*6!at_8tFQVNGjc_JIA2a!H2LJUaP@V?&|mbUtw=uX<{nF(+-th7r{(A?@n1 zKXP5lHiVvFdEsZ}lg98*pEu@OJ_BU3@Z%Z2pF^0Lsoil%?>y{x&R!p8>b`e)e4~^3 zcU8sK78m2)XzJ*weMKb%b~O9k&d=Wkr{YhIKlmKYYmx&7YO2BXFSy?QlL=>MDbcZ( zF(5Z@Z}C)lkwSHtjto>;F~dJ*f6Jrx-fx9#M(1#U6GHTLvB_m2eM5D}oygtOpQlB% zaBC~eId9P0qy7gwI}NVg#Bz4oDeF7u_wgBRXvp`TKbxgpSOmh~W<)m(I~Ik@ZiJ_g z2sytIox+YMdc;Z?B=*-+-+A{(D!4VZIz~+uEh`|0g~ZYOyOUL|mPqa}ZhK8c5VE!H zAdihsAd;GcJ@y7~`1M^ya-=mp2v#|{-Rph3nHRq?{@C)B+GqOR1=`BBx~V2q|6yH7 zdF?%Cs%K@%y-*=F`$y^DaHhe*FimEY_>1_x8hd@UK!m$7b_Tza({}sdw>gUDXoML) zh@3PyQiavOwptnCE8n)xYmb_gUh@zaRwrh1gHAsx@lDB~p*SL}Uj9v|A|mudNCcJ! zvdy~1q@>OJU2BHAx;@oBljMJDe%8OKp~fL82w7`vjOqOu`GdW)U2tu~M&1QkDw=H6 zk3!`1lPVt`O363BbY`siwDzR!POPuu1vEd$Xdq{&R}n6(=WgO+xsi!!u*a9Byk+og z-(Qx|lEC=I1dbE07hhVHH(Mi2+le=RUlPXPGM4X>JsU+Rk0JPR7>f#9S8%Rm%!bbs z=mbwv%M$m3LW<>c))+Xz!y0hZqlv!5N6{b>q_PWEonwfn4jZeYw z_9ZcD1x2A>ii9+O&#Sv#Hv7=mIqDi^WG^>_cW`iJ?904-*H{b;7GMp$B%npAOAq=XL(ARC7y6H!QLz#Y{#NyvMc_P7FAv|s8VP_3~lVd*%|+iz4)#RclU2li|uR5j+F%PGZfj;7Iyd52cbjCosl2X z(21BsSO1n!IaOdtN|&D_Yy~P_hhVEP3ayy^xQJrf`NAaToAy9&i69$8(dVEu<^oHnv z10Tu`1TcItfI_|q+G_`PnK|w3HW|vG*L1bmHRm3h$*rxZnIdK~$079lH`7msl-$3?GvSQXdFQVaLb440 zYojOY${Yzi=~MXS-v{%H79;v6$2O+L#AxRlj}3f$8d#i1Gol34gR|yli=@mg^yaQ# z-Tyec^!9$@?0DK5IBS{t_}n>PA1)^#a$6`DcfK0x76Uf}X@PGGXnG5SEKQJuB8{vt z(4rq>#9edA`qAqXv;L8CjpS=t*uO^Kx=r8dgpzdqovd_Y zdi->4;_sw$ySBA=zEMpuZ<88Q8vQLnEl#Z~@rBrf$KRmCIg0q=k~uP-;sDFj_6sZG zFV9zN7bdul!v24$4%V3jj#$FC-N9}@ziL|%B&w{B*Xu5XMMQcp6E{3k|5~I!Kcwjo z#%n3$FrPxMNz==h2-jIz`h=jEntzE%Yd)5oooRmicF?Q8XU&pJ8_5Ln|5}D zU$Y5{Qjd;UUq3y8n-hQDw7#oG%5+kA2OE%Mz($N}XqTU;I-cGsvbn|BZdxpqIW|@Z zVSA}uV_uIW*b1i3?x@AnqbDd7xmeJ~@7-3Zju)L3{pXKEbhIU@z>_T_uXWec=GG%M zZ^7qzO7&Jav$xTPG?wed+MUg2Bt`rWCnV;{FGP+5S*bd6csOnEWCv7}UfnfJLokI; zc8DVsG!*|K7fgcyfu~SVW`i)k+pM__nq<7}yS!TU(8=O!x~rY?NrYoT)`cBa)IW;Pav_Fv!GL zRDZ<^Egl-AztBTJCJS>v;`sJxeH1HC71qo&oTIEh^Sv)t;2#d@?KfM`WeBTn#J`)- zW1rr`FQp@j$YaQUM2ZQg(CN2sS0BB0&EBy)F4S<0Q%ddr^N#`s%F^Pm^zc(UdYZyu zE<$!8WS$4Hod>_nBg7!A(k!r(WE15-%S91HqqJj2kP5Y7gmTC7Q@-M321>R|zTA0{ zSMd$~05`OCxOJ@lUMj46;Lf-A#?A`X>yY+`v~qBgL7B8UlP|9*6SdN9$ZL+&vJG&^ z_FikPFOnN%C>f8`t^y`TM$pL@!Zb3{r#C*nZuuM4^O)C(lJhwK?Q6wbG!>>xn+zxZOB1ZvQD((Lw%Qkqq>ZH_&-sK~9%BH=LpFifQ zik0%2f9vP?V#(12*A+(a;5og2eKf&Ykq@8kn_2;N0fTKYAlB1=G}BeF4v%!h#6?Q; zv>qI9I1A{MMBjagcNnH4(t2V_$WFKjKAKqNtHP&G>EJD=@EWw~egB4Z)}<;`@OtYU z(jq)fK%F&zkSMvxOc}IBn922l{?8{GbW{5FsGn#)^y)`#l>aUc&m-qCsz{}zIPErr zbmRRBU|zw+D> z5%(CBhA@-fyvo{k);S0~P^Bm#J{?RBK-eR8k1K}%vZ4{bgF2{lTXPIPhw{6m<{bh3 zBUx8)@H^PWK_cFb_lvTSli`1j#zes4E38I-pCRpxTeE3J+A(V%XKPUG-+G08wosxG zdpO`UNEwcDW#rsT9pDhE3%;xis}HlNYNp73Nh@%K~6n@_8--iqTeJCUg(HcX!&bC_;hFnjs*0sZA`RCZEK?Y&K%WlY#VO=Gz z4WCkPt58jjCvHUiV;*W~<5nCYm9Adt((NXhX|be)WO&QWztB@Mb_w23njSy@`o+Ju zvHr(_s9Q&8jRl410ml2`Asc4rGCk}1nV8p6KwM|-*gIf#m583jNOD0KeEj`op!%F0 zp~%*Y7Sh3VO|Ag{w;5UbFR-!QsHtxfc6RK(Tz~-sZ7jaTw6%s+-&_WwNXjP~oaQtB zclM3r+OwDiTm);XIB4*k^gbELJGLzqbTouSOARX(yde#Q0c&j)gkMJIg!#(fpFgQu=z!;uQlLtg)!k(*_@B zV#>=WXd7_TQl9Y+eHYxS%sF~q5i*bn5x2E*ImK~%4^hs7PeEoc*xfj&q^griDmcUF zHS{p$m?4Ysi0WRL)tj#etP4e@#A((&KnLNA397{ zj+9wYzZf02s04))Q25qRPz4aK(BQPJzO3`W(=S%M!^;i#OZc#=nxo)pxZ`oOpd3f7 zi$UTNzuypFGN8>Lu0*UzY(+EM@shHPOA$RJ&HUbvOOfEO>S4*DBYm3rv!6r#ejme# zGHXOJN1?PCZ{zz0&!%)jE4;xgeJr^x6Z{Z*b40;n;td6j1>MAA4gejxr!@qz<|Cw~ zMdF&d6Q=Ke6O_E^2xl%fA~X;B^(K&ujz&ubBK#y6PH@Y3e=SGB_kdhbfTF|HHClV@ z1@pGL+T|tu$9@5EJw7Ak+hW<&q%4E~_##bum)<{}6fSe7?a`cY*)J_22btPml^lXP z0|hC#Z^JPKb^3RE=jR5VVL55b{SO1Vro)_HwzT3txgrQ-{J4h;+I#td_*E+mSJn4& zONlI+(_aGe3W^y5%iqglr0gh?&NyM^Eg2xs(@(@Ok9zl*M!)pr7fAr~UYj^fV{tjr zM~Nfa4oI{7>tt`WOnAUHA=ImHF z3a^W{49%{ODfAh4|PVY8LYwx z)M$bqfXAttC>Hd`6V4&!ehCiGq|l|cNb80A$p`zksIxl~<$ zKMc4_nMuFCM7=aURP5GCz_n2wDR$?ZR4t-gNg3%Fnxk8Ykq|51=+*Y?Z{uFl!<%6Z zPdACY*cBjI_dzNs%`LV9cXtFgYHUHoL zd*OUsTtsKSSgawqz|C-^fTI5;vtSPm(7@nd_#V1cble_jaGow-Tow;?5yKsbGtYgQ zN7^`RKUwqHx4x|LLVD%43d!AvH~E`%tlP%$bl_ff_yLCDz?#&|Zsw0-m5v~QPk8oAb&Dl2Aq{8Gc zFUPgn?8^nL4pB(spc^WTB!g$t$9A$DWxlPO!BbPzq z|G@H+nY>*3(0D#SKNG~-o$rIP+Wv%E!Qz(v5!p@R(hyL4&)Me}4Gq^ld5)P)M6APD zfy$ZLJ>Nw>DZx?-Vvdx!<9HA9YJT~v{deTN_JiM#!AOjjh3Fwv^$Ja0#0}w4jalAQ zq>=w2v<5f1*HFi`)%(-jfyx9Ks)>!uM1FnPE+eh2$hIuf zbJNzvruYL-GZa7}M-w3-nBRrY;a91|%ml~aUN{$6(-^ZMdrDAjZI6JD#ToQNgh^~l z3^|B!wL-SG&oVjAl}M2ACb(*pEhi#ncuqTI2#niccGz75D4d-v?oA$p-iB@&cYm$E z9{}UOu7q`G>c@1-A;HSOK2{utr;j;wEJ(CdTj{W#$t$#}(sz_h)D-K)q=+fyz3&s@ zcrox3OBgs4c+jynwZ_HCPW_;E(igarpMF^GWduAH?Pkfj{P>NOx_`~ZB#%K5Zz)O#-&5`Ko1A0pPicG8GatKe2rAI>F}z6m(> z*uBKVXUtbnGh6E|=KiPc6yJ)9l|T66!9ID3KQ`o^oTwCH| z@V%(p3mz-FH3`jzc)XaF$VLix{|{Yf85Z>xwtG-iP#I~Elx`5DhEzsLC3WZqsiC_O zfe{d-K^i56pEt|!hUabj z;#YZdp<17d-=~Fxdd2r!sp=NGN?z`b%h2OcK}etZ%^CSlI>sJS){)Z5IEStsUWa_% zAq(riIsRL#&W&Vg@0rbCjsZW@s#)#lI3G}v>a3TunLmIo6T%FlSJui$I2=e z>pD6*d=gQ~zq{_d-b7dO+m=oBC4sDPYX`K)#0TqPJ!!2zmi+Cwz!>6B4f7fAG%=s# zc+wfo=h|xoI^usy{}f8rCINA6YQ+RUg6_4N3eowybIB9^#>xp4XjcBA7>_avX_dRL zbST18T$p4hY|3XhXT*QVIl9^%^+ES*TASHbj2!L*i$ia~da2SDpp@!)=P*g=pO-hx zPp|aL6tk1tmt6{$qxqF~jz)JXPPxpj=T56?Zz^Low&|Iw*AJ9+9jy$@*|RN{F8t{U zxGJCCywA>au@Iv;#ah|%zs>n1lP=}tVPK`0<;YZI-3y<3lwq>0gN3pj*pgS{2#f8r zwsC=fKGoDfB%U5 z)DYLemorweYO`FI?3esUD&{5`(LMUOppqJh(T0W!*2;>G_c2T8mKA>M8f#W{m}0mL zxN$>IOA4KnNsze@;Lp6h$PpL!ML!2qkvHwW3Vr%8^rP1}TR>?Lfpnfk)C+cdJ-YI- z*EL#}q~yDFN{M`*^ZfJP(>>#OvRPflixN8O|Hs&;0}* z(kN>fIOVaaCE{-1iZ(N6>2|=}sc(I%Wti+&k}K`x678fO=lrmY@ZjQH@YOwvtKhr; z>Ef2)$R;(#V=N9dfX|d1*@#EuBz3o~)zD7#LSr$P0A&PoF40R29KZ zJ=*nqdfhUI|6+7NYOyM9ZY{^5@F#qhXjB`)HJ{d+^6qP4zcb0wE(viPzB!YV<X#PcM9fH;tK#N_x)~CZd4~CYp_(+DY5Z?JuDYl@Lm; z?-A!$;0K~6of=nrFJste zRv(BB4G_q`nQ&rLL`tTo%l;c$nYY{*&0Fco_1| z&^f(h?90Bpi2@}mwkN}U%??O{Nh?^=)AQ$ zf!-@-iDzIY|5NLxnk}|U63!V)eUofcr*U94=kg7fGv1zbB>kr}RfUdvJ&Iev zm?QfokG9A83Z}eq5JYg<$eRAAmtQmHk6h^EF=*0^OcsB=$*ARy=&8($MaSp)T6x13 zLl&1CQ_D8j`c8zPS>{kmUb&0Id?WJTzF8edRpc}|8b~s@r1E{3J}|C~|7)ptPgy=s ze96`w0)o4IbDM38kPUH&D-VvMAdncWs6>fLMwUh@WAxJSpLagZe(spNuLO2-(Dxb= z{Ki=q>goVIhaPbr{%Rd-FAXd4$n1KJ{vG-t26^r@WsLAQ8r(vMZ#-Y09AVv>)aU`H zVi7k3s95el@V)(nFtJPT1Wp$jr=tS6AAc>s| zlK?5y6K9|wAESFC|@H;(DJ|cB9OXSo};*N_l!2GD*DYZn7`knbM(Jz6L(pmH5*fnC`*B%4 zs-k--j0GMzV?>^h+ww7H6=XE42}v?%{cdb%b+oWc&i(WfHU22P;}LzIm9>OCRg>BS zy0m=FsJ(@i29c8--q@RlVn>pODjmp?TWiFfo-2}tdkmr}EAqnl%0ND=C=mb;*amkS z6dFSzs;2*1T@mJ7RedQmW{%(!olKvR&2rrNZ5nX7su97;|H!u~ic!J9#_vXCX_<$a z?~iBSnlac5Vh;~#+B$mF1f%0&jq0Fnc58q+GYe8zP_rnCl+=XSobvsvt%jA?zW#NW zZT6m-!fRTsEqa$gB;Vtb3)WSKbZeU4*63zlg1)#CtE95Ri@!0Vb8AD1A{Cts(+6XY z7U02LVPt#PRSArp)Zg}ZpN&+%SMmDnn`^h`pmomUy7N!il7^On!8mcolfIBz;-4T^ zs_0d+tGw`!bVivQk-Lz;@td2iI5=4qD;3PSP>dWYum&Ih@jZ}$ww(Rl;zmB~KB!*9 zW!6pKRXnj|B-wTqm#m*I7rAr^HP+e|fEd?_#amYr%-sQjyVBQYT3-%WovN@fPT&$d zY^1`Y1K{$&J+`hUP3M5z_8~@w$CZ^%D@)Xci9>ac>9Rm8UmWMrZ}YUa^f6kOTR&`MEBi{Zc5$$K;MRw!=8 z1F0e~XrA3WDH;7*K`#`T?v>)Z-+D;Lw4GSBK( zVZ9%N_f$?5S0ON4ssP;y59#(2&{d)8TWhws!phrS*j+r&u}h|Bk8h)giB{ zvH((LJ1Vd3j4+WbUv?_<-b|m=bN5^xsOrj|qqt<*U4&3O1FpjGmO+|2?O6?_u~)Sn z-SXR^OC~M+exYaT@Ha+A9nys^XK~$wFN10V-c1z%bt-5q2#ccPZorjzLPUsw4ACy# zKq+N*ZYirn^|c{k@pXmbju*A@=uz=AF@6UN{ttK0yFXK%HOdoOk@|jUbe?;qPHvhgL{nPB<-2@ z4$mrZO%?~`2vXu(8d(LI%a1JehFFT9j(9~bk^_w$N5Ved~^*LY}h+)&2JSY&Jy z?uKBb!a$(^RlDP#pDX6)cegG`1#fPCrxq6=PDaINWE26N9RcJ4CdmINA{X+vUzIf1 zB_5?jF1@1u=HdiZ)P7uW=l&VTmsa)I>gLu0nk9QDydPU@Y5%@_e(hF>HF#->T@ ze4X7bR}ZlNYNY!)xGmISx3^OfQ^0_3Om!&qRKO^&)8+vOsRPAhf~ntp+e<^Xf_)UqfYGrBMI(scvsH|_s z#iBy=MgiLo87~P6lH{<8yEvYubr9z-dO%|m5OLvs{Utj z`kJa0lU>i_GaYo$7c?iQ93e7LF5=VGtKn%aEBobD!5DZ5?6EP~lIb6Kc)M>bEDRn7 z2Nwsu{G|;Z$g+GA@&53ToS0S!*Y9RB#*=F}LuU%AGZnTkdRLTaPZdqw3r zO_XIqcJJ@py+zrcr0Gc_mFqO!E^7tsLsJ1aJM2FvdW$r(Xg^|>>hw?b9J<( z++#~;WM_9nuT?M+rGsti*L!xh%kZ5UIwql02G3LXi!9n+b?FcqW-_^tYU?HJchyE;!%LUz zlvMAknSbEs2PB>H279sMVxLsd`1!bWmye-awV<>_p&Nc`3gu!eUaU-a<@38D#JY9q zJS)f%E+*p|X=a)9qT?D}GW7!&?~kl$Ti$qD#LNFm(F!dqYZ772cVkg3HX8bkNTA#^ zvAo{bGtB2h&X6`A@ zwP>K9chj$WNK0jRxo{p_EG}SE#0i8Neq84lz^qm9$cp?4So`TaH%7*1A>xVGPdric zCViP>EPpTeK3*Rx8eb8=UIQnk<8hv`;P&hv`L7lXQ0D)>-qH~5 z=Y+4{7!A&oi?||~bDAK5$VUg3$-%Qd8JZV?O@uldRkxEx2TI?-Tp$vxS#ROAZC2d5 z70xlrNAUt5Q&9Hyq|V^F&QUd$k-_6M$^)5s6znyDQ9EXYpRO&SgbkkL^5664A)LRn zi9ctT@k=eF{XM9ln}II#dxR#vtk|7yWFSe#H*N_Y0r`B_@T%EF{Af<7$~@uL5U@v( zcbsMUUF4jo$5)rxEpYljVOjGAZx{O1nJM}`I483DjmxLnjT~aC$~6_Xt`p81Rd3sx z1qBn!y$$qSL@I>56Sx8tZ8@#tMZX;J{(dhANloJXTQ{OyrEC3|?f9 zC=Grta)h^99A{a`%FkA`%6b>NCYp0ak@oM1{krEm44fUK43nZdPrvw7e)ZUjop{og zw?6EkSM6%gFZx)+T^F3cnH!S^76QJ`ue}N@b3xULaj@8sC8O?Qg=J?I*`(U>7|VW6 zC+AGhwV~VqVyx{;YSFQ$&WM%T@P5$AEPpT!+S|nm%rGUk$Gs#*dC%C4CG6@B?-5Ml zIoljDs=i^dWEz?LS{^g_{@p3Z+TPc}0G|gXld)b~KmN?H6~H?%lF9PA3p0mYm5mr7 zwd5f?Rw*Aj0l`pFoH=-&^r~}twy57F)B#P#?Cpbt8g3e?BFAvoj@#cp%=i3G@tBp9 z4&{ASl4=66DdIy87!Mn>#{p1CxkJRE)YbcThH5|PiY?OQUdCW0O0+V#gf&J0-c&33 zeI^{!*}C-H(7-~(Kj-+7>E(^f`+1LEaU|urmDPi;{wqR%*PVJaU#y(c9dOuGXl=*C zRCIeALt(0e;af8@^I?W!yk}{V#tx5j#clHjGQnA2o?Ihu>ma}UmZYWVRnM~T1k4cU zxc>FIb?ao{8y7s;doP78XBvlZ4_SZK3^e8#)%(3&lTsj%%14<@%Wt0|LD>NIPF~hU>u1}4RRT#c zD+M@L8MPF`+QC(^>JY&cy)3JZSptg;kg(*E>^aoz!`{qJ2zz)Z^$&U0G%n=nxqAim zxD%&X&DWg}!DwRtu_b%!ARkGR-I!wscn z`2JauF*>iWowIVP{B34-bE||N0fizl(MiWk0esLAD=E5yf&!hbp=fm+4YZ>=7t$5& zNNfzT>_Z{Yw>*2{u3xk&q)v6$OTdPtLgc{2>fgig_tLRz?ye`}aeaNI`6v@5hrV9= zyT?JFy)GVI*C`MNYh>H!)QkSd8tNZPKiF0kGI{mDHC@#LiXpCFH(4nWv|#{yVBAXqLaX>$h1 z1c0(lA?52G^9A_!5&f0aLY=6>h?D3@V{%XZ!l<+`L$BS)0C0Zp;jzC5e?xMnG1%>2 zi`Sp0HvZA>OXRo-gK%T~8IhZr6RF1O?<8uc*{ql@wE54O4#9G`(~2f(h!M88>z3j5 zUXLUbQg%cNo{uJ{V&g`#hDJxfK}@>S2ns@R?z)=(_O}c9Og%L{5-q2M%e@Kr#YE3R z9Nhz;r)of2U~Cm6wpTzhZw=)6Pdp5q)(8Fr871<41c0j}fKYp8J1gS4H~;4KXD*iZdc4#G(M^P)6(_xigAb|3fCw2Fa-;!2Fvx!)6MTnJ54JGeI%Wb&Ls zWQ>eH{u%Ki^SsJ;u#;zM{Pk_=DJN$bz^2u5qo)vw{qG;?xaU+=#RKy6Gmo<6RwV#V zaoyI0qqJ9D>e$tD2mqo5g`V#TCFP`)Q2H;$2>GC<&GEBPhe)H>sC18NI!HU!tA>5X zz1Ycu+-bfr>Xc!!aU6OK?~!52q9(t0?a%Fmjj#Jxh$&5brx)V{vl-AnIlqp+vg*qO z`UAIYsKA|tc7w(9Z`jYlL-fuScHqMpedQs({qJu#LT>E z>s;#(PXiwOB}-KYke7DD5WgH9%X$xs8~%Xi1`FnZyuUgu!+jcfbE%x)f9)&&n?TW1i3`4vG^f-HVo^)8CZ4E3ESIie)||Z7)cX`a|*`MMXP)L0Gawxh+&3 z{sMCTQ-`IOWo2amKL>~$!Whs9hPrqO7%r?k7?ueJHQ1LV7?#JjP<{fa%Y9k$F{A4s zGF4&Cs>4u8!h^>iZ=8-Uu**NPNtP*#qe3}tu&)gzAk4ISa;CN~?nu^A%ShfeNelR4 zEK;kbCA@h6Pfg(`?nbOpz0K%UX4ONJAE(ksQCnWGr4J}y4i3}pm)`s4SOagM3E;*~;-FcUemL!j zm6n(wujPTm@-bqa_fPlg6>+vE6c5uS;`L+KMt#`c_P}!9y(}DTm}8FiyTz@K;{})_ zmjHLwS^4N=^K(y6Q4AkII|3ws4*;ORaj)U5Hhgcok`tggU9?UyxTdl){&|me8cTe{ zcY&V+i{18|!n*4OtO=ziRC`lBlqmAvOlM9pf|jiltk~KhtUGma+QCy)vFkRosSgdS zzOoB*ezQ9n9-9mdUwCu_Y1%mb{)b>1+y6VM?3hgt$L&80lAqBm$IMVQmggxCfnBI- z&mE_rQd*CU%8PH&=(dgnoJhWR(Wq5`7fHmNGrglB?u-{%BivM-knt1gYAP+#M&A_W z68Vl5LOk6l!i93cz4^AuKt`w82fRmrEw3n&o|43*hYjaqQ7 z!N7_yfF~Xdz^r9}GxNV8xK9B0AXG*!uhXGLEv;UNe8U^Cljk&PPl!+kb>NrpKr`E@ z#I0hqUa;cseD9>^H(la`JsR7x#F{BS=;PB(nCI$PM|VB52$#IW1-d^)^taU~IOQMR zUcO6|_sDdd?g9#5+W1aQOwkWBcZ+J-XL1r)r@|s4F3N!+@BJBCd~taxt>f`OKTmus z28{Oe=fyp@pT1WhS1ucK<_1=ir!(ViE`!GUW}BO%^c#V5_vrX`(4SYB%^Xe~+HmcR zi3~`X?-5Yx={Og04a+#3)M2Me1zYshI^6oPHj06$Z;c3I+9<0#>nH}7=|a6-%Dva|aJ@=-;$W*t{BqfN=njWo z7E!>A@59x6rFZYhIwRP#hnALjY*we_m{5vg*AGw5&fF9kuthwN**ty1kWvcMBHxMz zGWClu9na<*ExtezGSZ9HvrD-RE#hlk8JGC7g}UUOL|uN_y>)H#Q~j008$K*TnF+XWc>=|`iw5o8 zhWMjek(Wi=A>N1G`Q?Lk~9aNq+NDbtv; zIAAdZh#8KY%PZ1?kmAR^KQygFS5@A~9l&wwG6PA#bv&lJ5dFr93pucg;DR%M08U)Q z##<$y9>Tu-3;8bY~{L$QXPnw{#_YX^a4A99d5+yRa?S2x%&#Yn&33bN~%xt zRaqJvyx55UWfd%Ei-^|%6=E!#n$FGRzX$XI4|u(Bb47=IM8^V!ejWZU`wUDBz@US= zyB7fg0nwc=H!aeVFBbaqr&?NG{!)p2L)=&(3GY;oiyf)*g)^yhn!=POp|l8d)<%Oi zgUyLCLF%*kS9%ZM`)n;qMO=y&7`>!SxhP{GI^+E)o_p&I>e9{T(2$X;9x#J>V2A@n z-lJySaT+WqEoGiR$xSU6!6S_Hu@z5cJ-FE+%Cwc0uMpGD#P8lAhyDb73VA#+tsX6> zok~WE1RN2>R9O&6XQu+bZ%kSm;271n0xpah^l`|8fo`_zyTC>;hT4|rx=#;s4R5;P zIYwZ=P(=jjXl<48CM$Bk1lQW4!BlSK=|mgL_2SYH&n=T$Y4`iiPy>&~UB*>E8)gzS zwl5}L(seH)Y-SQy_cc%W$aV}~qQ(SkdeR~fJB#k0?$Ab@Z{UlIE$Ppv4JADBTb0Ea zCtmoz@FzjChV}G(EYuTD0~Yb&Kd+Cs4}?VZ3_&xR!O}%rd}z>=A48U{I5uLop=kHa zabe%ER+bsIaHe<|pewJpwF?A$iY%<_BpFGmK#*`&6t}`VOF)T>mu0^n! z(xI8cg~YFk+X{h|*NKpvlvUq2tc)?|zH(E)epFBDdWDsIea~Ft_8l)0MLR_lR^5OIL&Ibd2d0!xQZKdTwP@w0y}bQF*WH$0|XrS8fdSI*e??VvY~& zgXoQV<$GN5j#Y?;n9WVDTeqVB%vs-k@gh~nOPfeOIinreu^YU!st}I>7tJbxNNiC2 z=(VDQF4<1k+W~l z;Uuj>)b=SXPWzLp-t&bjQA%JGzg@y-$Ee}fkfa?JPENjKxZ2$MH%MCBRNyB0>8$mG zdiK_wk_JPu+smeeYs4?W7O&7-MM%i^xfOW>d)2OgiC+qwpK9SY04u`H1u^eWYX5nC z!V6}YdP~OD>5V#hAeGtxtX^1zet`N{N#HYjcX=3yGpjXiVL@DhFmD{*|NkK; zDH4QlHO$LxE^gx*E>PgtgjfUOZ1HXT%mY`u$b=B0x8GVE~mFlxQ?EuEJ8h^WOAa zk2Xrm*VpKI14XOonXQk*#?q-xv`B^BguR^^c+YX`|1GI(33LR^t)iUe4#=GHwtEM8 zsmp7++8x=HP7+&N9=3B#u6pm;94M5>E=_1RfEqG)Pf($ul|Q%Tbmv~3-9kr6CmAi5 zMAw~>cs0!&#S{hbGE9$fNci6<6eD6%eH2F@i5tMAyxB2kkSn< zW2!Rh>7evWZ?{(0#MmfrF|zN290UEOOktjudQ>M9(tE18-P-pQ~=Ykb0` z3vE|psY{n*(zh5!ta29DM`tT0RISi6+fZj#)fTWu1HAeaIEs!6cp+aVP}@NGIGgWj zDbUdhYgi5ifp=5R30^&ug@on|64}#O6qnMg-pu|rHq)!4aush1e&3JzbHDv2o@?nj zc-M)1-ra2ca{AF|@^+*zF;D{?gwaM;++?AtZAM>4)f#KO*t(-w-U$Q)`@*knC0>kA zRY*s$xmh9vmkt14<62Z0Ed9wUsa*jM0T45j#tJk>07D-j$8^UR07sP@N+YlHoYelL zJ#!9)P*GF_S1sEatvN2F5Sp*C|NFq|7PrphJ>bGB6SWfX416kV2t5WJjP=}4u<~3r zp>CMR67t zt{NCz-tmoiid5PO#S_@zo9T;9jtf}JyvwelBt)k882ROr+<#@IPS+CWVU2=zs*hVKzDt}30(0~i-&?6wpyCc+lHIK}?a3WKk) z``w&MPWh&!D;}Tur=X2GH?$vz*NbX z=V%T#bk^p5HNngpn37`G)vpKA<=?%~6Ak1w335z474E4pe=r3M4C{Ih5W1c|1+QQH zg4>s-OqJ*?j3&auo8_JHkp6E$uRW}FjkMWyfax^Q4v!tYm_6be?H5{%Xvi%$v73jb||@2oi-*gpjhnB?gT7Ox_w zjg-vUia-)Nu`G85xn?Kn&?A0XRlC(1nJwtrP+G>4#yXtr8_<=f&FDhoD%o4m_$r#_ z(9eZOs+Mcy++vFeTUK`Rv2xY<)mS2@n$;p9>phSHtwO02@TPC=M>!rec z*iO;861yt6NP?;<-B)JGoxAXe?a|sJkq?vH$c*gS_;5+n2QhF+7JmA(A+QhPMF4h)f6 z8%XU1fIMCP4gjBeAtNJ$d0rX&5W?eT$GqC`25_#U9Y+eS@$2How7qHPdR&f9EkL)n zZ{%8c3lut9G`SP^j7npTOJkS!=(dcR-vutQ8~YTX{C_d_Ea&+Ji&WqxCpqYPanZp3 zY6lKwl6P<4b_wrWhVDn}71kQf&Gx_(c4o`tQrl)grR?=u z&N3tR&D{0uY)`l*L{M7_cu!P*q=W( z1!uiA*Or-}CgiefjFQoC+l`oLsmVQLkBePO`F!}u@O)R?_R_TG@a4u=?|~;xQ~ia% zwSYQ2qR-Bp?*S1S zy?mmAO}J|%^*9=9dajQ$oHlhp6K$g>9lCD|6-ZWO=lYkLxZ(6xb?SYI4unxmNPL&X z@Vd5D{GcBmXu!th?vWpE1*!A@~fJ5@ual~$ad;s^R$k#|m4@bF8~c*%xv&X6ls+ZBeO;A`3Z`!pQ+t>+nd?A`*ZzjDy1zGUT{oyx&kkv!I{I9w& zA-;9F6T!3A^x+IkPN|W&K{7ASoGI$^nFU{OCYT5bzUdW!8Ga8~dE73V@>HE;zt-Ki zXC(*Eg+Buw?8Z(8w?MXZOrY0@(bmi>6((-RIdj2Zrvs@xQJfl04FmNp&l0B8L2wuH zhFV)6Vt4f#NGtUG6i4*$6eq(z))Z$9=_`h5on=^IR$OeT;K{Ctpu#8;`?v zG%&WdEk;rmoSXXfOuQl1-3PN!&pU^V<6!`X3b5{5@uDeN;cBX- zU-~{iE7c~|$lretb!HDhVGFpJY}=Y8&uE(Yy%~hNvZu^h*sbO;XQ>p!LR%d-)*T`+ zD?`~BEZY-Ii^N513jV{|5%Zi++Sv6vaypDx8+nC)wCw+RQ1|S--ZnOwl+&n$UXv6l zI8JF*81eMpn2#>&t>xDaZ8#!ChhVCxBqoN#xa`6e&kvHtzv|9j1HBg06gm8o`D(5Q z3|}*E4!FbZAtz78_FXr1#HW*nDM(W>nMh5_Fix%we7D1w18I2oc8G-A2JQ}>?fda z6{h_A;XCpEOV{<insYfuzbE<>>o9!V*|anhFbIz zPe_Nfxw%13p;k5iMU0%%EzsbQ`nSOdIOm!_eI)?H&`m3M*dj|r9ABlkZ1R;p#?mkU zm@@n>eTrU_J{MA7v`8SZKxe9#{0$6`{fExf)s87zy=NB5dP)`?Yubo0vl8|1#az37-9n5YQsizEm^nsqDHf5pK=^(11 z#!UBScwr@ed`OZZa?qCM^@W^Ul+72`iU;)|N%B^NEA*6K=%g+KllmVD%xt^c@ol6h z-u6xN`vQ8Co43F+74TZ`Q>bV`WiHrWOhCWFA{TU90B0HuDhSqJ;82gOAUb_XvS~)c z`K1BqVT+|FThttNj!JS+NpzW0vyHj8qTB(A(*_EraOFGf%fs_NyhE833D*hlg>uZe zE6L&A-&F88=Q(`fYvbckT{B=cc}4WJqKtIpUKKU_`=w565x8ZJ6M`UpPBbx*;CpB3 z0O)MrZ0SI@SW|(^#|1#Z73 zyHDBH2??JlOjPY9YJ%zQfgCK1v$8dN4xD41ntXd+N+knAdozqMkHR zdAI7~=FsJ}AYiO@>dj-ejKD`!Ckn&Y zx0-ZyR?fwhgbH$7qXbL-JOfaUNG3Vjc~P)-%<2xS50(XECp0NiD4W;8z@1rB3wx@% zAeC@vp~hATKu^k#uyZc7CsmTG>DJ#(<%tAQ@0HKb;-eDXD?bYYs{lXu=7?U2AvUJ9 z3V?Y$cDvvP9T^q%-(7^r3XZbEc2;`guowAFb*|@B6zST$J~^<)yf!p3-y>q-NI;Rc&9vKh4tMCJ?(IlPc)Y|>~BPI&#G0%2Y<7wu; zUG7O>bKEy<>d&yL+x;1oT<&49%fcnptfgn-ep7o*aYgy%4wuspC){cm`GYlh{NI7a z)^x-2F#^h80BAi=|Kv$2X1S*bfeUos;2DO z;#i|Cb4)v;AMWIM!DV+tHtzFKTOw-#r!r0@9^c}3K>qKADxI(WI$nvLKc@l+>{Zio za`eaUNu}CJkJrS8AKi2isR8C{X>3&T#ceDau{ZIU8r(?xnDy#^?|s*=#Jx@tVDjx} zOp!vWV!XA9{^>Np<4WWW&dCVMfZY(Tfv>gmrxW}2+X25WW-^;ak@zfGlNe#c3^gJ; zaVX-7oj3e9bJ#)`6l5Uba;!zR>G{#`bM1om5nu7T(=2XgbtE=|tV{b5G&ycPie{$% z=_T+liJw+7JS=`ZnucaQws}h-+F3HrYi4p|Aho7a8<#ArG;lVF7)yMeii`heVR|G= zPDxCA)DZ)}cLLodfbxTIkv+hSFc5RyHeBtAy96}t|CYPq5dqbtMJmh-z|HaK2bNUa zd*P?UsLyACL~(Z&rUWV)^hU=)=fhohc?Iq|_eH56ZY#1jbnY@{84eJ1iTy!|)?bW{ zza050b+#@FMm7u|T>j=58cWsjp4o*TEWG;)tV^y~wzTmr&&XZvMx9i3_4)$oSnS`| zJ@YVaVthNH)zqK`QMA_8S(o>g#eD&|J@bAsFDBQT@mHq=@~e{ zY$;wHN`uGl>cFyj?X?Rw9vXv>dGS(v2GaNmWe1tC&}kj5^@^gj)uDW``@cu&vpWEF zr962`i`uI4n&KfLR-*Fz*~JAqwwrL5rS%~W*?J@Iy%@LI<(2PJkMdgfBcf=$iGr~} zfHz7ns{h;Vuu*rIz2?KMPHM6VlH2?`HPF~Nn`~gcrwsq_xB37jK?8upD_J@a);CFQ z08s1SZMp;oau{w5Wr9xamMI+^SRJ)!xaX-E2Enz4Cz{$;tui)TVhTpH4C>i;^@5e4 zX0$Z};;MyOYU{svSP76;cb10gbfy49reJK@y3+UWIr~ycRn^eeIW;-6tYPO_&+?Hz z(rz!1(VAWbYO7O8J#Z=UQNwroPSc!u&cQ}CkEBkvBZnhayPh|QBw(>f#b|d;>-1$- zPz!}`ZX#TFlO8^Q-Byc$bRVD82nRaMTo$;b-Pfh)g* z-?Xm%)9-MSwQ+Pz2H{m-+fv2y0+^sP4EvL{SA47G&z*Nci&y3@R?$y!kRmvf z@DhA`P5fp(YT5$0zSnwVPjoOl_gu@gOM0{~3HNd*#v8IayizKud50 z10$XU8iJxC5b1R-2$<$wF%mTLoW?FhNC;GKu#f{Iud{hy7>k=Uf6}^zD@c znZRVCzt#cjUD@7D&@Ah8^155?Q*V%}bDkAj-aU^?6+2(``CQn-WyqFb`$9{LYFX23|x=IbV0>0z{1Rik0)+Y*mn zn$ht!V$)6Oz4>y}U{I%rrZ_wN1w>SPU@kcTLodK|s%kKGNg@J>W}2u*ZBO7s;b9nn zZD;6FLv^~TY1B5!n@@kyw@<}wJF!!#x_t%?MMZu+eGz{bq z7?pD&Sv9HeV@pY3i$2Gxu5nPp8IR_VUwh*eUJjcPQV3qKp^=$B-V~QSM$qH))!zG`A(JX*- z4W^A5f$@v9)-(#&=OUfdp01oTa|IE9#gT>u1~@Z17xio8&9+0R+3oor{1DiMq#kg& zmBpnJsm&@(xsxMLf%dn9=gMh!K?y0o`|~-)MZJlKS1$is8@BoV1_PRw{rsakhl?&q z|9nEZNFP@}j&6Hqd6QKa8E(E5m==JtKEF=rx{+9{nMFb3?^|ce?8@1wvPvL8k-!hP4aS6+!6W;Q`PUK(nbFB`O$bwkNk<)1|UhIK%DjYb~ahgu0nW?lxVGEOfzikjz9MaPNy3@Le zBUUyxXYk8doy0;88+_{9pW;8*E^T-JZgFf~bEd3YGSs;=; zHFbo&F?xWfH3E)D#;!mT`LM-JcollkiOdOnS#G`bwmVzmXK+_;gOQi$GUR+$#PSSx zLYgsz3Y0_cyAnWO#2>Zr0hwA;@X2gZ13+%X$*6)8B4wQ#GpmF^{w*krY2nWmHI?xd zYtIdBg0w&KY;V#$8NEQ<$LdG(yZx0Iw!1xob@%by@VX7iG!T<3x3M5Dz1s(^9#hsS zLR%hd7-i#d&u9NV(&Ef!X>%CpH!EfD(}jWneBPa+{HO z?9pVcV<=s7Z0Fq|gqz^RUPOSCbeDV=yeg~vf*e|8krp z`1*B(y?8P_-2f+5ObP(!0U=%~#TkA0_h1>cfio*ANa%6EnBp}cM%w!Qn!6nA1fPcW zzQic>ZHzD_(8}J(St@~ZURoZE``B4hsV+Xw1g=hx+rTgmt|G>`*j!}UzG+J4KV~`_ za9ytgN$3k>V-YHyaj~{d2%ZDa2>mHhy1qDqInrr-+kdCrP2_%bOMhwySluEvn_AbM zZOg*SeyQb4USECso(euoN0PBTp1f+p1e$uh*ph9oXC7?Y(rYiWdzAo!%P6nhRS{tR zUWA>%U6tg9w{$A9%Yp8zRyYmYHoOu=ihi**1F^RCD(@n`543?P_eOmLCv~P8i!vD| z@tLzG)9c*i9F*l8xC8JZ4tW#FUQlvwU zNQIKrllpe*0ONPDs3UOzRO?^kc4G((+SqVtYfD+c^bMF!ME=CLf>9DD4#1iLhL&bk zRE#dCucU|fs}mxCrV0be0X{#TT@zOFg4}I$y7zFfRRa^2J!b(8T)aANtDR3&hjol! zxCNX#RZ7%W0+jEbXus<<%HSVgqjuWh$=MliU0QN+QH)(CBjGvnjM!ymF&u7<{HgvY zbJiEYM3{A5db)Jl!=q|&rtT%+3lE;sG4;;N&If2~g3dI&)*xS`jBGIszF+Ti| zR@deoQ^z3CBjy*fYYd;B76$-r=e^S;?^LE}p)Psh#ULco>3BmGOl`w`@Zjk0izk7R ze8^nvv`|B@LMIESK{&j(4_7DkWC-Z%R zlvV0%k3vdvCoqX4sip^cqksH>#m2FdRVF4Lb@l4JG+Ly?HL`yCj0($1uHJ^6Xm?PMiVCcbN-5PKmA7A$t;jE*OO5lf6;mBR!SXAMbj-}%ZCI9TpMX} zf6KVdnW}y%)kpfIMjuI#Ke6?O0TS{O=2Qg}ga`>Uz4N(r#&HUQR_KspFgvsLZ3Co8 zMV-8aCL}2Q->xxGmX02M&IxH<-a&1Hz7up!WsB0u0`NgfCmy!#a`3boqntQrOd#Ng zyG^laMKgVt3Z_GS`zG}?IgAY~ZIC4yWc4(a@bS(xUD$CD8~Z*q%C~25Wc7 z>h=b3YW`mtI?8*P}0PFi2*VrpS14XllU*uk zBjtD356)h*P2T>XYQIiL5IwX;q;k3z@37qIrw%tUQnA8$R;1jSA;p(D0({}RhSc=I z1Q<3?_D_Qr76jmbFoZ{e=aiH%h*v79~q-nV&DGjR)2oh+=G-an`j_ivo8@=hamG zd(MvxOjKRcu1T=ghPW;AMc3)Z7r?P4iX4cC4brHIhrqn}zcli!skpNR?0^P7poPS+ z;{z7k+fndvGysj4_e1pMbN`sFaxU`tpFhNDFAA-_>V;Y|TmDnpFw%+A{nhUww{f2e zc-tfg%%P}%lQ*FnY*zt!$k6Om0n7N7$t7KE$K}qgmnN&zmbd%#=AW3K`??0>eXAz^LXnVzA7F#7XnV_q`UI*pC0jF{ z285X%=!6j=PbSV+v`;}d0@U^qh}GpS%#Zna({B&oo#bD!20?IDm70ZiqtxB)@L!y(dvO@gve*_`+j2v z@YSrRIa#KX6B0JZva4f8)PdQwkF0cocZsk1-x^%vzZVB#&h3_u2w8_e;SLi|3Xa7^!>_DbqzK~AM)rbqg zRx^TNGe#PH{i*Z-KluY#VjH=*`ygI+Lwjj=>*PbqSLgTNX8=kENR6*|fe}{z>q34Y zL4aP}O*jGQUw&rdvGulAmS>0(_&^o{?d$IcGtk<%{(*bDqod>h{2JM~Rod$%nFzDN zS0xf!dx$E^3T-K1YBoy`Pbfdg9-w!3;}j!O6W4-JfzotuWc%=^Zz{~3nhzO)Ftctr z_4u6>X?)-Lm;!<;$HbN=wz?_?+Nd(#U2K{+`DKoQNTxV=n{lPX9yt}TH@__TnWk(< z`|_fziP-aDa!Ed164c_hP#h8A6WsxMsI2y_WI3e)Gzs}lINUl*F@gP8DpypBaYYxa zzKe_C-H&dH z<2kpP$+H3;C)v6e$XERfQe+@Y4n{NZQ7-G968;~az5*!9_Wc?aRBGvx1yM=qW=Uy8 zK|+=kTv{5I5Ri~sLQ+5_C8U?`5Mc?Wk?v-ZMpE*-d4J#hol$2T9iM0Sj&q%JuIn&- z8|LcizoNTLyOH=fbcc{ZsiD6)fmCjH8D#TXSn&X>G;c27` zhmS5_^#1>NKhPKf+{HcMGVTSrP{5)u%Fn;uG7qBlBoBwRUAHEwK*TbM%=r&sX?zZn zC_z$~?cY5XwN9j?#c>pCCYas#thyY;Ek%=76+E$tGSqh?6pb0#3}vu0KvCKUE|vlT z2<_aR(G(x4mD3rnly&@h20e05%6ys;y@m#=gL=cjKA6 zpyLc#<-O1DYBIMyLhasV-DU@wG-)Q=H|Axq7pOIVYvWh@k986sUnjnVW|M&ig&8#0 z8%FQrrjQAvATa##0EVYK*MnaL-%5+%|D4x&!w5O7|COPkHr53J`R zljby#zEs#U@@0P!q0#U2=FXE;%WwI)LvSnIIvxxU8^3$tgJLNl-rWN;Dl*Fn9kQ91+U75y0ieUTYV1nF?nw`Fjh zIg7y7+j}lyXetdB;Km$SrDDIbUuAC9q+|n>|Wz_$2=WsvV&d#pB+xN?JZEfv9=BJdD zpQoNtf=)0lyEk@r%pj?`W~!IOclQ>f?+HR(?15L!B?u1;?&wguumvHoO-J``Kit}C z$S=5bd@0MSY#qSx3pPwB_@Ov3Z9n&OYZs*HY2_+Z$tHjy`NWbFb)-Kd&tfU7T4ZB! zSOy*K>Y#;-VAsW=4|Jb#s>U*-@!j9)H1@4W;=CkLoyZMZz$V+&?v0G#oS)|*jD(R2 zY*uYAvP#JO&zIjBwH%N9|qUWFPICfL_^L@~VhJz9WZ8RSdaSl#L+GC&v$P~ zmcn2lQ>_MN^K2ih%Z(SVZQ*V>LOEL!u#gSTq}sp1E4b#tL%EdB8~ICKRjpNnh2a?I zx}}p}Yw4w4J2tG#YV-9kN-8j2O-~G`M5=dA=)WEbxz-7sc`AyCh)5xtDN(>6D+YxW z6cjw4Dl8~q=lYPA&K&;mk#d1U3&_pX2U00WOm%$eY&|4=-tyg3+RuJm`lD@V8NPe1 zSo~okPe*Ba8IvN#y8uL^5lKP95#hhU%Z}@|+ z0}Et(b?v)z&jQ}q9V35Lbm!TvzaIW7lve9>o6%~g_u1%979i?=4tDM4p`DZ7sj-KX zi#%v&l`bfl%_+VlR2Vcn7OE_xW7_=G_uxmP=l;n=zwdPbvDk8q{M+4@J8$gmLA)<7 zXbuXGh^RX@u9_QdI-czYe}k6a6xX=q6ZnRrual`6r^X`m3LPR<;`D=Tb=p<4ZB}UU zI0)hpiDh|&51%?(n4#fOW^x3B?Wu>Cqr!#srakcL`mm4<>()W>8O2b3Lw(9u^+Rl& zzS^-b-Yq)e;i&ytmtvlX_;}FQzj5o`jW3+(CVe3Vmbbro>+SlXV!r$q<;j7^n3AI$ zbfDEI25T|mF#$4u5?DUp#@WXr4)yf@<>j_2Pw6K6Im^q+{t%NthUgaQz3*Nz{hj?3 zr}1#qP!i;?e)wOwy`W{59p`oWu=nw{#pU_GmvFd%+xp8{zbl_6m2ZuW&_TXO)m2pq zg(csUKx}AiN=gr)f;<<3X~e+4@;X*z{Go@$eh5M(1ZHw;rOPYYTA01_4oQ(G!s9?7 zR;;h&?_t`9K%^$8<6by{R@ZzE_2&}_emWat@eDufR|AXke%E+H z86_bk#=o9f6i%-E;I4NLKeK1R@fjIg4q17F$?2kxl`}<0cKW5Y`Fc8W5vQ z<*#evlVBDF3!yQ27mG(oy$e9FMC`M&Kevhyh(`#}9fO7Qk^@3u%jQ#?}URmwLYY-oOuj`+$y9*|#k z`(D=w>PrFbMsx~>CUJ9q@b$+H@BWmwp22@UzAwyV!^wK3ifptarZ!_--U*2mn@$~} zZqQ1sI%sL5j{m!_ygmkn%U6|aUC5t<5*E3hpL!8ULTUNDDLmW>nd`hDvC$5z@{xBa|k_|Qnyo6@RZrDu9Z1&@Q295rG;;{Pfi zN)rCC46(%EFNbKMqolsfYyMR{o@ z>WQmT@z+YNtz8DP1RbR=u2>DnfXJeT$k@UJwA9_DFKB4f*S1h&N(xr7suYaMBHw5b z<%ZqL?&Gb{MU8$K5e$VOF6D#=GwK#=Hs9GN=17Z@Ct8Jeg%NW4HB`JeX{;pIe_vrm zwD74jT6Me$9BgRzZv{HQJM#|HH&KD5N=hDEbj=ZT8Rkw+e{E(~F&C@hd|h3Zo3;~N z`!j)^qTm?%4x~VfErvcKucJ)<{sakGx!Z?`51`a;3H{FfPA+^F*DzLYq$M4PV1P%FG&iU98gActeNwuy zTf2Yy-@WJ~D<@dO26{}Bgl$`^=YZiu4B9j|)x%o0<^wSkLuG#cz*R#(T@&;6qcB#3 zSB1Y(>QEXLvgaxHw#uc_Gu_V zsS=|s>b%W!10U%F6{xqg_RbgoQWqpDJ)QR?B#HXI8R3xU0Z43zkssH+L=rOu1PbXU zy-DYR1pfEby`%OdWOs#PlEjl17YR?jVc-h%QD{wmEh;3md!4V|&0V9Ro2x#oSL46{ z;*7(L!_{~x2ndx)QIqE;%Dd5yMK&vX6k0JoBVBOk@kpDM7%+}h5B8GZUcBiU9!FUR zHW*c-hPDepSj@oUFHXmwd=x7(z7t0xL{sD|VRr>RN5`ZP|1%>C6ihm+H-ItyGCKRM zD)LhJWBT^Omk1Kp-jCxpukDLna@YiW(8HK6dw0D$!O2PYQt#tu{^Ac`R2J6T+ui2E zzZe7Y+BQ)#mv2Gy@A!8giR*-Az^^m{Z(sbUPy3*wk;Mfj()3)?2f`3Vd44$=V`xRd zX&b;lzQb#v2a~HRXN_wuOj!DZq?Ke&+;gSNq~i@_Nyk6RbBFD}p#s_0Vc}Z$vC!FzZ7=DWQkrP(<@^XsjbT(1 zQC0>Fl|(9(X+LxdWo@u?rj6t_y!w!N^6M8YDJA96+5bLz6}eOlfPl`wSU#14{>r#G zIllvSsl%6`gZYZZg+s*W372!;N(U?;D#4d)p)Z3Ah0?{-)`OkeSrlrIf5YeCPkK#1 zMq0JT!syH%B7t&Aq0mxjN{AeU5nUQZ;&B*!UzpF=$P-Di!g#MAXV^HDh$Oy9EDDxu z>fAT6w`%z`b>r=PO8#?>U+Wd#?Q#^T4o1|y4yEzesD!M+;mV}-b&nhGV;?!J{|~|P z<5Qu!6SQrF@KJ zN`7{9`zF)tp=yI3zsr^n{7dxKdc9y21bViCW>($C@K$ z!>jJfdl&WUgbXl~9+m;{9Asm`VL-9@mO!gsKMkK_RgTftIFnk58jZ)1 zxaavKkCuglu)O=LlgrxbH&lRplRG=M)C1F1#ch1KbHCgA=(bok7s|UY<#TDG@Zf+F zw*3*r9y{>d`%Jys?jHrtBc=1C?CeZm<5=*#4^{HS&Os0D^JmWpK?ra3gw&fD$CdD^Dj(t4RMo5751_OsmU4#3 z9}oN`!KBJ}ORmn_5>=Il@k={)ep)}yd}CvqmV(GASoy8NtBE$K6HUcHn%h?Td9AEo zNysC$-=4Py?uwl?E9!jIjfCqdV{e$h?Lk-o%ovo(UUYRSs-i`&uaDx(KFPgkVy350 z#*G~)b+NQ$y`EwKQf^^|x+NehHTcg^uAukPrUDNpha_}3t|N5SDHxRyxu_u$l%R;b zJ35Rjv3wAQP-J-J7{Jhl*i1v_sj2+&0w?sIC(jTpb4@nR;GsAwyr{nNl*kgjYd(zM z@{xh>9ktylsZx5jNkvUz0+r&zs$YrazbG$(xD?5Yiojn_-8_6vZ-%ZwEo-?J2Oyjq zFLj#beJ(zQW}=+UcD4@YP?3?nKQc`2=`gqrYeK=#3uoJ8X$%wO5mh#*BMkKPML@>= z9U^^T77eI1rpzfSg0zv+|WGB z&?uO&>wB0Vs`}nfI>!2(ZRn9Y#U@H-q9?iVXr2_0v0U^0ho<%5T@p6h8C|j?S&09$hWUUl|C1K z_=aCCYprO@j5ZNWD;0P}#HkE+`)>t9(iATqi%r(?g$srUFYUk)V_TfX#xdI32%f5I5x5>_f&fKuKPG z8P?8_uuW(Pz#j(svBZ6;q^sZc!975iK6W_K)gjDzDwP#HgDXokE60b08W>I}I72W< z2&lO4@cs)$BpeQt6rhNcY~QN(jNQmsos{Z@8JP^WHR^uHn_qm?C3ZFNoAFf%uk~iA zF?y3SHM?Hx&0)<=cRjkVXnXn)c+JNH> z#j|w@|U-xvu|X>(~#D# zY)fRQsL->>*3lC|LK;*7^3fW?LWenLXFB`-l3no)6T)n&f`qPAkkozKZ}$BY!N^EX z`7B(C7T#Y*hpjH|BZUdSqElpubF=2IB=EDO2BJjuh^X=n=z1bcNe)U~w1@5$6wckk zRf=k?o0}q?0E7$4S=-fWWMrg}h{(~gfSs5BQ)m~!;hG&-{k9ZJB4juMVZra(XpHkP zNCGul>H>wK_CgXK3Ac!p$N-3tBt{h6*1HHkdy)Q^qrM_vRtjuuE76pv&N<%yeO(OTco^tb=Uk$vBV zL4VGVSou<5)plS&p`McHxTe}3?`u<2%I2oLY1&z997AJiHdNOCPXCv#ynutxoyTlR zVm-U&3T`bQ7I&XOILAhOWM5ri?*>FHV2U^X2LK)c06-$S>;I>YJ^Wh9sz|^104O+? z>(b1E62=_2tb(xk^%x>c%wd=!j~0#)F0zBBTixZ{uzz*n-4(KgX}4;tqVL#imm}ol zOeC=N@f!}HRD&u}H-g@Eu7~@7qq6ef2y=J3oloq7X+X0ku05_uG;Rix5Pd_wyDt5-;qgT}5%) z+p)1JM!)~ZBfJ0`uEu^U@#oY8bG&-eYs1#Ab!V+wBrRnuxUdyt)hN_jQ{{VgT=Awl z+bG}=HKVYwS=+%i^`mJR?mn%=hI6|jRzv8-Zss4k0u7$`$kH*j<0>iVa)#)IaLPtDI12mI^JGvuRsH2DGB>R7hWuhylAKXJ;`jY`BmUqQ*$@n zEQXgl33=CsKb*Ph1{2;x2^4x3=abYiu^U>NmCEXGZUyU3MLU7;mhid#$lP1xP%>`7 zPK0yaAZLD6>EHKBj^l%6DEq15_;i2?TUWZau~gUlOw@-50{Y~8YNLI?sH-z477?GP zR*M=_tVs&#l&rII2#Z3bbsk(qD0OsN)PB=APqsR-p9UOeR#oNg--Jv|K0HobbcP%n zJEq3-vUvo6cO zza=G|2W6QX&ipLPsT4Ke`p)c2mamgd-m=N)J&+xOIZk`_@I*>yY9k>eZK@XfM}PJ| z3JO~By>&XjGPyp2jZTfAmX=B+*zwI~_VDKxBU9#<&skW$apj1;#EW0=dqY(->2AA0 zX@9$dNvRMH=Njo6Z0(YDrX354Pov3JAmpGQBOii&(1kjjCc9y0N%BVU@nMVK{zp zi@(o5UP_6{ zJcbeRs)QXX3m2!z%j>}&m*W!d+ZE z5y*OQ_NCS4#T z*yE%6ta;Lp_yY<%f#JA>3+pV;UP(6z(Ur8bp^$1oapffzmE*)*1NE? zk7C%bY6HZ9PRwsNtj1JMIOcVW`e$~?qV32l`MC#R=A!W}rblK34j$?~Zpwf>`=_b(L2P`{wKBzH~0vS|RMD*%uV6oLp_c0gV8%CKC zoH<5=Q{7X!6IEw;I3bi*!_*<*Q%5ihwJc|#7#HK7@nn4c>Yu==>+Qxn=;nn!~($9_g+&}z$3K^-A_Br_@DSkHSfRDKqdvxStV@m^cp?AJAB^@0d zmL|*@i@Sr$_gBK$(&oXSxsEOO{SA|=q-g2WQ1Fe6GN#w0ldVD@m!-&8+$FM=k^jlD zDOtotkNXv~2)*q}qd_T*<%=pUXFU>6MMK}bGnT~Tkabou$C3i<{AN5qT;89;7iCR* z>r*oFd5>_XoGqt0F{ezuwc!2Y!qzQPz^Q1zd2<>b6$KpsJlAi~m7F}cjOKQ9p2-~> zTy>0i``q>`m48uoQ4rdesnqsZ=0@;zikZq&j{n`9n}GnCCVu*aY$LO|`v?rGS+%Un zoeZWiz8+)|e_cJ1Dn@NXm3URi0zG|9cWX5a-cze5WIb02o5nRP6+@A=cC`UPPAs15bLNOh$=I!xkHkw6czupRA#9LDD-0D*#O?fLBY;OL1{oqjX z(K0lowd?&8LcdGvTR6=ZgSf0T4TFEhY&WPq&WvAuE6#%W&u}+*zFonPMZY=BU*zje zNGx^R+ELNE<9(EuakBV;=3w6j5Yk6F-~uHiB+M_=z8d1?=C=41$Ko#zV_`&fTFyPN zOLQLY7v+^|Y56L2eWc6z045|f5*7BEJ$@uATN zUxVcU$|dPu*mE0_AM!)USdUK)iiA9MoKO5HuA(US1He#vh z26rXOQ!&Mw`u|uN7#f@!_St#FYnnd++*?8Nkrcc8L9p*@c6Jc>7E-|=ueGUuAaF2x ztv&GFi!hmYZ!j}z$!UILcbb^mkT%vH1BJ(s!{Y6xX{h0eKoJE1(^p0T+{?#rwv+Fp zcfRuQEIC7}+{I_ska^dvD-0FOmQ7pp%jFI`0bP|19uM~W-K-ZOE!y)RI-hJ__!U5u zm&2I!pJo^hJo#aiQKVCMBphk16Cc&j5UuUBn9v9?TXNK!!>L6+WAlmrqpj$h8lc`B zo@)Y?1u?S<)M2VR@>-$+pZ0&_r;w}9)BG+yC#R+;oV}Bc=Nop4&6YYO4ofpxFJH=1 zZx7H#Xtg3Cn8F0bXMh`leSo9wzNckli{06ZpdOsbp%hy6$v|TSNo;6xbw8ZxKY&_D zx#F!|^otS68yXv6fM)75{mgsVJ$`rUJ`rbbt{TqQ{6B{8zE3*L>_nH-73n@6<@@8p{X`p~vwH;ib7l^_#V z1eI26(?A#1q>(-Ew8^j-sur{4?7R<$q@$nf{gnLe*)qnkaGFu-atB5%+gZG+;&kBC zp&ZfQnD(Jk%Z)pP%)Z#9+VKde)S=>Gs06nL(dMm)*dp8`z-iHY9rj{tnEAUD_I{IpBT~h*v zZH5H~MaV}U9JpT7*-=tQdVtc_tKm7iPn3L_m9b!Z;hfiuC<=%N#|7-TkJe$7^RpXv zKnq>etdmemfT%#`5lC@AXBazae$6oEN9a!>Q#hJi`E?RlD6Z~v`)`XcJcI922L;y}x8 zG5h<2WvGGTgP#RY!u4ZJ`(VTScicQQ+a`avi$7?O*QEukJ|zoE>19gO+T|=%4ly2f zN}sol$Yo+#6AQs=f}y}K4a2lU{HJaOvbL42ZtqY2ebrc732lZxK6S1ucM>1owfjK{ zhXCs*k$_;%f@==NU7>;D%KGl(!)NO|-mkXAXXrizjV|%cpu=@$U_wC&RjL-Hn69$C zV&6|kM_aW<6GR-}gW$jlNjKWnBKYLO}zj*_;IifijY~?P2?uU%II*+Zq1a8nKNmKf#_DUSO zix_A|XuB@DkEcQ&X0Ve_RmWUnA>1b8DB|dMo(r=c+vc<_s+M> z%m5nWw=L8mXEzQ*VgzUn$AQ1$z_SZ6(xr!l^a{p}n4v2YgvZpCkf)`~fAjyvtd7_*3O3fz_D#1pgL}NeoC6u8vYPYe+A=tb;l}v0Pnyr=IpQX9rnV4vN1l zByA7O6{eFxO~CEZ^ewWVkB1*_t%ee>*3dKxRSXBTW@cX}2`r`Wa#{zLrO6 z8YgEE_}G2&R0Y~q-dbY(FOi|jp3;hCe;%goEH00>d;Z@m6v5qrt3;U!)!S>kdup@T z-29M&kCLgK64jC--wSgM?<;i|alf@Wo>z?E8!KJDa$Rr)R~!WiJ{gKc>LBJ-WMjIP zNlCc8ePgP$$cyT5438KJF!ix*h)TG~Yan5Zqi$Oja3WST4v|(c)a1Q~FF8Fbm@GCw z&k69jK_GbI(+{K0pCURBZbx4^65cN(!R_jrzD!07$Gyu4x4)b$)!| zRi8wmuS?&+5=oZ6EGTtV%vvut+}cIAP2`ho9RIs0M{GQ6-xRDdlgUYuC09!gt-lrj z!$rPI%{rV@n`b8%YL!*?x0wXZ#7XPiA~SJY31m!PsPIRRXcKCgN}w_xCf*(C%H%JC zN;W@3+li+~7Zpor>A`>+G1#6l^hF)f@VF8B=!NBYsfla-Z1LZf)qC4luW#XaTv*@y zh%&#yB;M1Pk%-I-26XvgVM1zOjK%k36N>gBMu#gLX<5!s?Z>9%x??Y_b zSa26@5=zLVO>~Xk{A7JMr?GRsZqguh8*1~gM?6-+DtY}!ol@$kXS*v+zO@~eh8L{> zpJ%&6yf7UougK1d9Y|mRP$L_Daa;gH`5TA+{$0<%?FP3Pb;Quv*hG>7^r!z1V1!t1BK$|iEruXx7A9l(SYIkCxNs~uy3s7pBRQadBSSV@IX}(uv z;k%b;+&^~llQ(&?n&emfwR)uUq=oK$`$O2>mVANNY3NNCi;&=is+e-7T2kUx5n(rG z9D94i#chwgF!>rxZ*7Y6lY>S~D8k~IL~^yi0opD?UXYuce!P68ALj$qnSw`GiOmYQ zGRA| z>TG5fDt@nFduFyzK|9lX-%cyK=^*-KN5}r&vxfcQe{WxFBEBuM%ymT>XEDe%SBs_6 z0~irimicD|3oR{vps*zRRMzZ#u;s27qn!EBOGo%4=Twa>dgK&p`BtvAW3sQK80deA zP4A9p4%x$_0Zq;R_!?6JqeDe{T&Xnb9+;YJzR(){Qdjp;_v*V+;3#Ds>@Ev?&$_G7 z@(sHS96pac5OM^gr2?j(_o*2zAzL-o(fHuhW`c0n#Z*{fPW=Xty5yb$u%@YiQR0V(AWer?OK22ibAMPPFX}{&V z(dgtQgO4&N4bBqN%gie{8e^I?d*eV_Q6GHj8=iD*Fat-6wp6FeQ|TX-A+a(z!YP~h zeZQ)&UkL(U>Av5&Gc}jqk6@ZfV*TSgm6_z4uE7M7fZBmw22gSVq06texU!tzH)?Q) zTcHmYPi4J}7yMbXt;?8M{^#&Y7eTQJMa;|}WFDv;7oe9r(uW%{-3!BKa#Ny>glY{; zEHp~#&o4qMK4kh5ZYuNx?03+zjBKaRjdj-8C*0J}^I#u~9g zvmt4;JArw5ibpAj#}P-F)LGc;1o`e?>aD=6B&#|sA{Ktr)FHCT4jC2(Z`Fdklfvl>+>PJ%6>6I;NZwzvQJ zIP%lA=_+-EN=)&+a$mZ-LsD+{*udn3iWcGf*RtW9abnN;;ancG&$LK5BOF}fPftaMZ zcln{c{dGpc&6+psxKE<0p-4eHm`m0%EO34Z9Ov53G13i;C)!3XrsSlQaeN zTDyQKJaeK748!^mz_1rRA+qGsQ7p2NFwch zua%5sH@+V1em>qLQq-(nsB)apnNxqNF5q{%7tiQ3 z@EgW){{-|ZQjBz1@F zo>~I}Ae4-^$u|qP%vRabG`MfAAN{*J9c%s!Y9?UbzXMSD>#lf?6xZKR!JVZn={uOI znBp<(`3?l2ygMAxjgOCaS`1?=2M$+<62#Xmn6qgvVg<~%L{iw9)xzFYmscf3`p@3i zY_5JBAXl8z4tvSh3m2ivRtZVL@K9&FzCBi$u`wo)sbm5hl?h3QC7fBM6j5&j@;EV>DvFq2Sy|?g1bRWODj|4_a#>5>eq;_NiVRH(@D5< zy^uPjEa$3lT4XUFFhD30jDy!)D=1QLgitU@Y~N7Ig}no_6@PCXr2jIpBP$`|<7{97n5NMskD*de*J{H^h8qE-1&22PE?Dnok4pP zgI{jt!QZ?G_GYpKL9Jbf#z+ZzA92;76wFKA#~gi>KE(piT7-q7=6KbaCr$`a-B;w; z)HSa}$b8@ze@(z#H!m5vjp$s@j|W{aNU)Ii!Co$Z-4ak+@_$VpY%-w9LqlJmZcNyr z{ts(-c=%^2Z}(xd?WSX6Q0X0(#Kp~~`ZSbe)%j%tZ|qx6`Z@|{+C(7QA~H(LA3cAo zNPaEfgFojj514(atVL6lZqK8_e*pX7A*cF*)akR+bU7(AuQ^HJc^QAnl#aRn!l@rR zGqWsk!83o_do|mbbIk>u6D2iq{?u@HC4A1@sBH6}?f$K++%Tpb(<2j01={g2xe`~gf;MTLcCo8!AO z@u2nRTQSey%AoJ_fRVk$+k7tI*tmE5>C?evk~x=dZeUSZH<9qzem;Kh7*B{zoiqip zZS)yw{Re5C0y2&K#>KbQNy*w`YRPeR70M{c-)DU3nLMrBz$2P$1O5b>>>wgq}=11IA7?rZ{!uddv?X3Ovrib1EY^b zmh#+<(3dY8m3(~6vBrd)wx&Fy95i=HIF*y5G7*%hI|a6POMN<*a44x#=|#>aufO12 zpk}Cl5eUBK6YS2w!fplapo`ztjg1*0sKA1P$3sWp7Xm^;vovoo`R~8w54zW4z#8b3 z99`N2Be@W#;xPkk*`Yi@d(^6OIXRJR=ac3I&Nhu__mIGW85yah_aFk;WcLtU5t@Yw zSyb5yU9e5ABD+g$T$)Hr=}_s5znG5Wkxn!9NYCElzaxnTm*)$&aeO^G6gsGnw!H;- zck~Dd`2OWu%DQ6CW`^T{_<*Xc;o8dlCN1e;*ejL2R@H& z5{&dR7@hr9HOKRPH$d8#HYoZAVx~0r)Fmznv*v2qMpfR|Ey3uYloU)R-`z3M^`wo= zOZr#mdQ;&IcD3jf`FtHN%zI9V@R*a+0yIvtOor$`@P`8657_$3otKnAe}TNbJkXVi zQ#@C{*o~LI&x)3=e>Ro`ZYz-gz99rTk_Q0=|KIb zZXA{Gzu%9KM7-&=WBPV{h01h`>G5*~Q}HS8w=Jl!JbEOpEW?IX!EI6V_J)BP7;{A5 ziIru?4y-|azn>uu&bf(H>Drdhe-?j-ml55`5wmmnmo_>1;zn$SJnznbwihA|asxDx z#>p1W5;x5Mm$5N@!n(4phX@lGhOPBM~n0`PyF(khkI&k-s0eD4(|4i{caZ9Xclis)Uv1rl1Bcldd(~!%fp+C$G62GE1 zAArp*_BXWOS$v7&wYt^4i3yaJ?lGNkRXQ+yw^jmAQ{DG0M*Ubayx8NK!i*M0XYNTsI$s?7V$G;%K3>c}R zA`lSrg;1;21tRYm0xY$j<oKpo~sz#*ch~ft={B|f%p?Dxmsc52k zckH9PkdTB|f!zt;sGV^eclT1)ZzvlRZl^_j3h!_)z8ZT>iRbHO%^{O?&pX7~FYc2! zl)f&aqhsadf*44fr_viilrrOBk*?{j3q+vXvXTvnPBOx4iryJ0~g!d`neTS6QXIs8eY*XgyJ@3>$|s z4Qj`cFgV^U_&5@=a_fz2+L)oDV*3UT5rdb`|3v(+L)b+y%{=3D3CMg-ZDh*xu1Svc zcX6*L@u_uA9>}bMS}c|Dvytpwag=Nuc0p_tUP7;;e0d z7f820`RZkT+l}4uEbHqEW#L zS)uiT9I}q*l)9YzK+yd_hmLzl%3TDVfNd7xS9>)N8X7p`-i*<|nIAa(l)WnX#~cA3 z1!DbQSqa6R`z3{oI}sxVb7#H+Uoz^>lzmf0v`W6Mcn`VT>e0zjbrXI!^w<3>!0Jt8 zR^I9AMbaxJso?^-xV-JY%gOQ-_CdEyaF!f?y9ANoDj&Hj9S#PJ3w2~o~}+ghaRjUNuSBQ|aiHG4FHT_l0R znM$s{<+MGHTw2f9OM&-$sICRCw3? z1LKRIQZdY7Al(6&CX|^?IYeGPfrQ+QtVkFsE!TnG1{!L@Zi+m=4KR_xK9B?c+&jZ& zWx#!@%N(z&>bVnfhi8{o8vwwqU0VM9$vVenZe72!sc<81x`gDLH2L!~2_Cmo300qc z(TZ#D%{>4Obl+KpEhw25kH?nwb(Z$>(BF!Hw~`rhw~1t@+vfh#v4S8C-$NxZBy2qW z`|HH$=64Klq^F%n9k%K4T|;4Pk2#H>gx@^}D>*?KuMe1o2P_t1_V&qd-uyGBL3vSZ zvM=r`Kk}pWc>gPJQ}aU?<48o|tj9zX*5u^k5RkG0>{s#sqxx^i$+az1^h*;y0q9$F z+9{AhZuZ4MCl=q~SvtnaIqwkWx;D}kQd$lLEo;MzIm#nlx3L3!58B7E1GHKp+rbG8 z4I>(kJ~Ne2Ijv&Nb-1T{9%;p2JVDYze26v_pq{?Om zkc_FvFo1U<;m^%z#sBNbz#Eon?09T@=v5}~o+M`1WJaAN>UA?&SumIB1 z$Gha~P-#GtT*EI=L6y3!s6t@Nq#z)0qTY=&H^me?v}tSY8JLNv7Qj_Z_*2_QpjBx( zxjNA$9^n5vZ{ofF03ybrr3{Jz)pj}eW^bcTmCX^|K|t z0vH7;=s*EmcHw-@g9Z(G&I_FZu6jZgRBv3oykmx=%xr8!)6+zNu>L=@R@*gxv{wxg ztqyu`-G_Laj?t(pX9?mIdmg|KSc6Hs6+pmI!$)(n#M&sK5FP)gTBr=BZy!tl_I+DF z{w;5Ie+*AVM|eMZZ0zQ4#FCQpLEgD~-?$7ZZp$!{A*a%f{S(RLpTlE*ipXw{P*ZaG z5ToI_Zor_!aGrw4;^G=+%Z^V>EH@8Z@35PyCRWrmO|=;!SzFpCqR{#w_DZ3B8FV;? zxCBjfc@5cge-^*-pctQH!EsDwq^sjFtGPr7JFxIvmhxkO?IzC5$n}>!0Lxx39q(*^ zn#}uSf~15<3nH-=AtfzHDAI^XcM3=-ASj*E-AIYFgt#a{ zN*biQK^g?kT>JNbo^i%FEI{3!kTZ7>^As29=DSZ7cs0}j7~`E|}}=#s8lefU8B zw)eK`?d5R4h178CH;YLr^^J}~nHa<=LZScm-#!1B8103?AS5)5o`05wQ)TtvRU1%s zbP8t?aB=&u6k37|^ql=ji9S^JE4^sH6FSsQE@K1~3%IX$A-I_G!kK7jTjkErKb)o_Yjkl*7j3(CC)@}(Fy*3>f-zN&n1mP#0CLign4w1OT4#yTePGbw-VzOm; z-2dAb$_&@t^Vy=C zYq|7+Uf<4;Rs8Z1MxmuR?k_PSn;#GcHhEQ>QZab{mD$ACCD>L^!y#iWqsCNq-NM3x zk=^3bZuWkJs!ViY$s;&Y1eKM6k&Og0EFALJo^k5pt7G>s{E_KJJF93-JX2>Q$?+(% z5mBUmMkd;pa@QJVqdD2TcG_YKo#M4IpL^j%``oD7DoJOzUZM570cJmj0g!#nn#UPLHbIXKyN)H$)y zB%{dvoXnxD{g=Goid8l%W?wVAvCQxlG3QbDgFwl3r)Ld6ITKitPgq4JRD9O0B77|Xm!>zbi6W~rr{j5d5o!-Gm}Uq7s`;D>H{ zm$*CNJXBa}*~I}y3l?X!AUs!?G(-4$)hOGybRXN=Zt@EhOOgB`CqA+GFEG}2_X{!* z2nr1EBp9sU=L}&{Vr&|$B)#YjtQX_vWo7;$oqT4Rn=BVp_45Zo3qgho{R_nceaVCaQ zohBIeQ@Y&4x#2wYsH(Aj`_sR$;JbQ{6vy3O+$?XRkckwz{S1Mzd*TV(qVjFb^w}e! z$OH$P%$1Bf9qg)uUQ7s&V`yt@lT%R8+mj|XGGxs4tslr<=R7<22FE6IveAH{zs|s| zWN9_X)IfyEMj7@>Vz(bDC~y@JK~>!Go}j;dS;p1`j&xe5v_WAn&?eM+=%gDFOLsz$ zW~s5p_id5=_(HRu{b--9p_R|V;z+m-h0nI#7hU;OfMg)k&lm$=a-aReX%psd|sb< zo(6KAG!fFDHPy{G@V578#W@G3&+Z7d>#Yx%ro`##b?e{D&>YS=6uJkjD&T6S&d%uvUqKWe zvpt+XM?%`k&2MN^<;vmKc?9H|9;W+8+$q>rG$!DYQQJAOx&pQg;{3G0P-Vjmuj9XG z=T(Re#%szK$iE%TCu^TeZ}GjtL(h4>Jn8khg><|FDdVM;tZ)_dU0{T$%W1p8=TkyB zAutjD>i#lh_5KOJnvi)f$_cN#oeC#Ipk?Ec+V|4<%Z^S73CsR85!#;!peOv~Wz2bD zmgDigf@@``@pSX2vHmfEOz(hM(=tmE9 z2dB?#G>zhV3|>#hA!4wzO_W&V4$;v3U|IRAQJ%!cK-YLD(yV}3W!sD)q;vdVLV;Hj zzgsh?9sB5>{0z?QAb*ZM5g3BZ(arh`Vf{Lv;_SMyu6#+0KVEGuSchaqOSE@IqJJu> zzX4+17~$LYgsX2yo==JgPsl}>+rkIEzv4!LfFTSh~_g6`@6F9{v>VOCOH@NBKLqcD+F^8 zNG(sN%~S$8i0EGOwZ0ios4%}~ktQl-^o-ZcvF%c(*3OzN}B#{XV5N21Ez*W>15a!(!d=_q+CgFX&=Tm|Q*oN7Ii zu7Gsp6%l9BbY14k;KV2bTe2zlF_2(`jdqBK z-14ll;34)ZzlLYOrZ&xtJaRsv#`+jGgB$qDjL-ci92p7nW9Jkk9aauDH`7`-vDkt_ zrVWYn-?NPL$$C6EYix4 zI>9-o5&2PIfm+lK{F3(_7r3*tAEk<0_dE-kp}l(h8#bEI(|h}a zIWiEaWwKG6WQej9>82*h;ttA5M2f2++C=OHARtsx5f?1wKdMUgYNO`nN|rsw_UXWq zAPZpx#(?)NzCG#rpaeo5I`QqxZp!PaadEG?K)(*HySw+H0aE_=?%yF|VIWa$uR{7E z?RxY-Uolra>hs))|6cRw(VLdBWgiA$hSJUpTXv*k(=+cLQ_xZ zkRqG&Co-FvsF)`%mCm(!5 zgPQ{A{3qeHv|`TzWuaYI4VmyT%enSiDGlvWghKZHGLxTgRIbv1yNgk(CnEr*9>KKs zHQEnY3&Mf2MrPddAHTYxob}u)%hljZ-twd?)Wup+33XZ)!Wc9WmcJG>BG#Nx4Wjrl zi}*dcjSK(RP2a+viO_V&JN`Y!!TnP6*9D^?Z~9#jyuQfj4rReWop^f|zfjf{+JhW1|~%8W*?d8|Gg zhszP;FC2LE$B7u-^Mzc?r%x1Z;kSG5x6`6X!6Rfmhl@AE+f~MQm z5@p`QXw-UV_xuZ=a9HFittIf3dNK^1hz2CpNM3W{q(AH`5ZWo(36RCG^g7AhUFw_^ zJsKjypcj43!GdJ3I2{`6PDBWkMBW^Waf(l~b|D(#{W@(J$Q2mgPrG7%TV1cG$Xj3T zwYi1GEDY*ff*Ci<;BGeqni}-!FL^_yxp{b&AyK*ru8T$3zf4;`kp6+2h$c~>QEM3F zl$1_zPk8~X7C?NvhsS%DKm|s@8@MmVUU*nQx0Dp9CM&Mr-2eV$tvx@S(EjEMT|e%} zNrIt3-f zmB-{at+{olz^D)3u4DJJZK60RmHu3(1_Pej+QMKig&XL*h~C;^c0k+m-t2*gvM~<&IGX0YTC1j` zqp0w4{LZn&CT?{pStpX8JllVfwoL;vtSJ+dW#t7r$RdVT6MW9Im=`Ep1`>0o9PYOh ztltG)>UE6+2*wy06bk3TWF}w}nSxp(5`W%Mmh9Tp(x3IW#@2NuJbj7Q0}IzyYm6;K zjOa-`VjmGrqVEpCi{tts+!(}lY@K(nXv3Z+_bgnTgja{d!MJ(WzRdIFZ&|+yXq}DQ zUPqJdpszir_uP?$_w|vbB?rJ8=pLr={ANM_h>!k4&EDWHN`hXX-l7;g{&DW2>1mgHp!#_W6pOo_#aUV=yJmq5_jjK%V+)7oqBa@VW5x zhI5G{{L(#GpZ>xJ{bwggsy_gT$)kI%xn$%l^*Y+uIptSdkTJ|6fwMN|bA+67JeI%; za{Wj|tHW%oZPaq~jTA%euk^eMMxx_TZF|&Un?cjtF9A+=x^4oS8fiB3=i3|(NNjXF zb|Je?`3xE?JZF&$@3>tvjjZ1iT0Z^0LSH8%M1RB}VPiHhUYF4OP&~$E-8<#D^=`!Y zc5%9vW?qSL%80wtfiUJy_|_I$3?<(a0^<<=1pW!7@wuMdR?4>sN$cUF9e7`b#m4 zy(cui6~8yiDlO(n27?yKcfWUK{N{`$vP(C*(7at#<7OIk)G*PJZn_KJ2D6L;D=X-ztTR^Yu#k&gxH+LwS(+3}e zY1jEsp~SG)wR(SCM)c7i($cu-XcSN(srFLa8b845doB&a9Rzw9!y!O6dWb$1rd{mk z{Z}lp0qYJwO$XKKJHsD3LXcKW%d*^;Xgo@|%xmqLS`ZsbmRF^TLp_l4l)~*X8GD7I zRhARNrSB;Nx#pn~pOc~9Pblq;@qgDY|58xHd7L!OKt$Z9vlcz69c=-ER@n8oFkW8Wz@P{H6a%(& ze;#cFyyF4JJ}||CHFj{2R9~1U6DE}gW)A#rQstCa>y4Z*(hL({=9R51zeSz4?22&c zfOenQdj$r(yACU`ZE!Ss6#Eenn`$reHT2G=Ov zS6U@J^b$@#?8fZq>SE^M39qyoS!*Y3*-`fa<*+L*EwtCLOHJ-x^J0*AQ4R>AvTA04 z6(E&KD_~%e>M=Tk2_wvu)sw?)FPwqYt73W?W*FmqrSQROu4khIQ4vIltvp;S+6HSZ@CiNVg7Am0r z+_v+{D_;|bl82pLTKPdIEb-QdE}+k&-L;RVw%)d{7pJ4X$$4#jUW-D++!T1;o9tw6 zVM4|w-+#0|zZYVJMkxxRI@`QIL?*siH!=w%lMCc{>d91*U3lb#kiz5 zu>wWNK-*?f0U6XXo!iaNkSo^^$G@5q^7=&++Sz>d*0pZrpKn6-G9TIipLnAt3d?VJ zSozeLz3+F9Q!E|`MNV)zKSu~iT7Wb_Z*FN7c1D!r@qvQz%JrrN))%*M^FC(3>%^T9pLrha z(^`6IW-DoIV}b=1@al;_w{(ruyLD~B3$(N(01O;3oBXdYD5%c_+C7v_9!;FgN7Ft{ zV$Kc3<~D@yw=mVMLYPsJewjU@jIBDw8x{VskUsvh#Pm8(2MN^RhnlTM4=}nF)*3<> zO)%7)`5fk?2idhT$XRkS+3<^PEMpy9J#hcWINGbE(wDvkb0Wj;R(2i-Pa2kG*!ne! zLApv@23`t=xf}W)GHK#C<)+h8A6`*S*?i}}M7^{~7d}BZbqc*yKqlOUuQ^rkp6oKL zjkaJ`R9Am}b7YH-n8LCkzB?Dp1MN0kZ0?2`2)7g$1)=PhRmnb<-;jtzf!I}@BEu!i zvUDs8k{40sX(dY#0^3DL#&L=mgY9QxM^U2?^!7_bnYx;h6nG=(dwJ{b}6GKi_ zmZs0YKXuFd?U9AC1R4aj=Ko~$#1<`EX106hiE2N(*A{*jj7UaFq`&X%6vANRI92$s zC(@R?j)seYC3*?SwsX*wHvYTt6O5x&;q552;T?egOmU79FRpXqW|w?KbwK+lEDauD zzgit_Zuv;R<+gmyyUEtNL!b^ zaO`8Cxon?aU0$%AKXSXNdQ+@$;;9iO;G|~S{OlHj*q^WTR=Nr*q%!>;XupD`M7uS0 zo+;cbVuGke${qdZSFo;o{KJehoE91Nk&Lz6>&!JVF%gXu-mgs(YzWL`1M9~~3Tnrf z{JxZyb_mHm;L!4Vqo z!SE1Ca>FCwBnD@1U6?RNa%S{f+L_ja!u8wiMYQm$JnoJ6pU}X#p6pAm@K+t3;{Z|{ z)#1ZRw1{#W4eWzE91nYYlAz7YgS8=1$g%#LqimWk7;On1(S7&Ip5R-m z)9A^uXg@ro?*qGW*hw9UxQ8GI+NH)T5>}|B1?uai*NzX@_&23qpfnV>7vw)#nCb6N zM%9H~#Taj(&y6$PjkcJ-;w;2PPgH>hJ*0}AT4PL2{S_oRMc(=x%N!YrBz*hlPr_-D zNogsyOr&v2m7%KIF2_SdLb%5G_}-(_U8|(Q6x^9bMMX->*3*r2k|bJ{md{Fyvv^9z zG|(wy*!D)OM#!+=ZBA4ljUPaG;Qt43K=T@+Sd?xF+0w=tc(8LmFUhX2PX=BxFf_5~ zjpeC4Km`AM%~cDXw~xsr&(;FoxQz*!k>^zAwxJ2^7*msn#Z#SkYYVQLsj^wxzP#g* z&xSw!>?vl%YR}9r0Z}HKvP*g094$4?3)FXFPOF~TFFEa)YrTq5Iepe9X4Vdf>|@U` zVaIDSe!WDRJOpft0COmLGBP;=JtMlsCm5>2`+u(>No7dVa<@L+sfz_@rJqu4pM34Q5LPRA>m z-25IxWq(UepO~o1Mj7Z&kS*IYJm*v@f8 zT4rsWi*1*cY&i)Fy8@F*m4Ec!qcKVaMa4Pv(07j|mHQ(FL0Z2Rv4ni{C4sVS?jej||HgU!(A+-11<1+M|hp9v$K-~`yK9W&$6zg ziL^dYbjTInp|k8yIfISdy&)^t{4g++)s4_@AsJ;G5Q|ED(Z#2`J~YC94fC6y@s4OY zO!dsK3rKfbDf@tup((7rL=n!Ya$1|kP+(;=dLGan9Q%p;_26;JQ++pDylRJ~sOq-N zvK+alI8-eMh-ln!T^Fl{GxsT@X9ps11(E}pWzF?La`$}aeWLEWO3}~?x2L(1)0GA(55qt&a+6_L&Md0=>=ENB=J7R{zh)zmcYkRw%aI08Xs8$?2k9= zwbmqn%FDRO^#rP5g-@)(nm(MNQ*HS}ohh@2*L^>2@0=bQE~`e>Z%m%u$H4LPCfOT> zQ}Xf2?K>~Ejf&1T74Dn)zkUxQ3;H^vtp^5fvp8@pYUA-aQ5v`p7G_#7;p%y;=7{cm z$AVqZ3B(%*I6Cb8WKF~98z1k4i-KM!L96(cCY}aLW0~a;$D=Pt=fUWg56CmkFr!51 zzth4c95axRX{bG(3wDQ_atty`?M8VQJQZ_2BHPzRE}$fz1=G;t$#UBA2j;N!l9I6A zhiBK{ru|!BMY~+;K^cKR7AEPz85XS{p<6fWrQL10)$$*lj+=3B$3H|)I`xVT4!!>y zjQI|OM$r0$v*pwOm#B=}Qi2&1y${?=CjebIz*m~vb*np)IwT8;?L>S1E01)ZN1)TX zsLo6vU;5dx-e)6XDc~--JL>S9Q`eD5M6>Cat=aKyVUu5vlNAa_qq&j)QQ^cd36<%t zV-bhhu-72b4*V z#NjcA=GjgMb2zW-h89erzP<&~*$X&DGk49(Xe=%+X6NQQj$7p2hX_)xa#CC6hyj6w zqaz<2uO7k;D)RmZgNP+8EZD!AcCST`m>Cby05hQ?fX{<^eCNcI%djySK!-BZcY~N9 zeugel*7_?$-5Ly{^KC3G*D9@!SS)iKIelk-v#QEZIuptC^D?r)Rk|-4*T;CZHRI0} z(iWr9m2Wle%TzEw<*V1gH#YYIqxPT7;Vu1{jRx#B-K&q~)W~f;H+2OyDu@T^>$=p{W#%JHD)g?7dF#I&i8S;JDo%BY@s@c-6jDwj7k^?xFT|ku z4*&`YIJbK@tqTi>em?QLnlfHMmb&3swpGo_@=}|0ds6rR45f*VAwTuH?R`9(YutE# zsQd7IU*q@h-$i*}O}Z#xpm8@`Co~#HDehiQZmull3%H7plM!DATmY^uhW?!HxvUR^ z5JtV1jK<14%(v|VoGU;kak$j57ye`$WKZk95Lr=CQ3g@PGOINEAJ?wa3CF-P;{+N6 z`UATJt-AW4g%Xk^#U;!n|N)4=dvC&b_- zIZFW{L}Fh8*?Ctuu&vt4iQ7Nl)tbq| zo!*^S@fTUC+L=pj-c{=l27WD=L(s2VIk+8Zy;t48VzaSd<3*@U3x=GlcG4Y4XXgRr zpC_o!s6iFwZmIOW2)=xao9wn`O`a?|5pXT+L4NuQOU%FsTwugfyfFp>UW|gzpXXsk zdIfS9mwp|&s`6X68W;UzhXmgUv$Vt9Gd=PgrSP^)Tpb;5AHhl_0j4lo76mby!_;6np7@p^j$+T z&d(^ajbgZP%DgT>Y76>tvYpzST)niSTysQOgzjX$q0pRaB2c%qq-0dExx+%p$ZV|W z!^3J6LL(FgF5rQFQjaDc?eZ4qU;C>ACy>2iT1y_OK2TcAU}X=n5HqB|9P*NlO=~uQ&l6s2OZQNuq&fK!otGnn{}{! zdE|3BlCutP%B(#izmV_penDa3+K>e&eRyC<$n}Adi?_Yil&WOsDJlXR^1mL)hqmVHjs_Q(DAEd** zyfbywb>;X(4TV^KA;6V=?LqhXZ~GvXFm_G-&{h%3*L7Un$%VlvmBQHb@-*&H-O-80 zxF?sSMwo9F^$-Yf|+v82}Ua$CVNs=1a+R&2# zV9Gf?`l!1aZ&gwoP**1mdz~osXxrd}9??*<5TyiG?Trm<@SeJZ@ou!<{Q=~8uk9^$ zD|MX0+lr34qA4gAXXsF8Pm0J%E01?G{GGkJb`7oI`E7<>n2DkTT1+CMP@NR%R0csx zUKO5`4#cv)#pV~0vOTfm#@jH!} zn*T%ay*jq7_1gc(V4r}+dfE@>v&e9f+j4!#m_?!mgj6<(BVqF#Z6cUC@O;e^B5uIy z{ft&#{mr9g-hagA$vqiNycYToENpIEWWTCfDokq(G$SLjG2 zHx27q{-n{i)-Hha2G#;;y!W3dw}YfARlg&;8R`HZ~$!4NDw}iNpJD-ChcE?evybm$(xBGq;cSEN>{m3X66ZXni#$L~oJM zw^|JM`IogC4~C1z<2iym3Ue?|@)d{@daoy4UYVFM1~Fx_{e@h`SI-ki$nSKZ$#&2X zh$|aG_vQQ-r70*W_kaSl3;zPWbd=QpRYa%ToF;6lW$I-$H7QD)E`(vO7%jX>^JrrU zRG2S+_+LA{52MY{`*L*<7G`PmS)ScAc>wO5dZhSLiAngx7 z;)n89R-AEqj@K|K^_@vuTU*gf_S?j!%x6s}o)2BOr@9NDeU?{JLchrkjg1#A%g<1q zwy#sSXffs0IWyy_Hu>qs`lfkwdNOYPS`B{sp0*Qd9XKOjAwTd;D)!gzN9o?9w20vq zxf@37{j6V&*Q+tE_tL6pk28E4%)dEq3mBLcTB4rL#o4{QS!e&Pp%o1@Ym{WBBa_)7 zNTo{1#!Po!Fu;T;xUQrmAU5y9T0Z*8{=+~=5yuu# zNXbpZ=50oGlscC!lQN5?HQ1gg-etg*cfG3-uhUVsuPXd*V)ok2Yz*(QpVK_Tz9Dy< zdS1cUn(mag5X?&4@whjQKmX)WVqoYa6&^`G4XNelE=o=+QaN3L2&Xdf|Fq%!%t% zo7}_y??M>!-BL{tF)}c-mFjx0IJq*!bLRR2Z~T&eQ~DB1YJmAyilC5Nqr}Pxsoa~; z@MUIK{{G}OG#B?xeIWzQC**ZC5-MAOH-ECWP#sBs+m+B$hR1Ekzswtjz>XI*r&i+l zR8}JB+9c48{B@XbnPk+q94=@wQ?avcU1)^v@+3vPR9}qhNLgZaFKE zU(1UwLhcm22Lj|PQUdUnwwhOeF^D($=nRZ*oT0m^@VhS{f0_7~#K!v2 z&QX5mM(uHBe{nDbLmo?$;<#3Sp0jsbvd2(VCt!2@iBQ$jm}+icKZ<&qugS?O zhezYrjNE@j5jgMEj^)fjB*4ncifr^HhnqV0ID@;dt-R0#hFL|#B~$LzU$pU@9Wc>b z^<>CC=ZqC7FE^dpz23H7{9?~kz)qPYnN9KS=_${Vf=y zB5CUjjEPhUM>}a?41=KH8RnUd*4SOX@(tAXb56xcTNjlwLE(E-C!LOco56#1ZKsIe z$D$CW;W);8M}aB95dWs;o5|}PbCfQRrWSI>@AcrC%y#yG`LCxVPpO=VDlP7+1SZiC z2-h@z?@ALN$5w<)mszgW&^GUFzvLrABj4Wvt$>YVlUrUNinV{bJig{wM0q;LX#et4-8(bTNGLhT#lv z*(AOh8a-{~IDX|1-k^1-TLla_4C2VNKiPV(WK5;?7k0yR8X5gtGJJifRR@h*N4e?{ z#iJFUyr|~&Ozt0_DY@j#@z=CZ-V96^wx@=*OqE}Yuu@3yp4?hXs4~CEYcYb3g(X^P zokThg@D)*Mjn3J>CFPL)Ie??}90Ye7h`2v}~6WgQA~anrfs*q{^LRS4P_ZiKO&)Z;NRz|J4m?j*4^B7+XtebJ)I zuQ2mshnlJAjm{Bv?}Nqzrh3AgI8%)jn47Au{Er{DJA1(^{iLUz=cj0u+qcH;YVpL! zb*zXS7O=WU1E%c#r;(B3@R}w8wi*pz<}-ddZp~6@Zr1xh6CNcholkC*&XN4eSWHC( zVvw=^i~VBk-8<84#)yYGhP0giU3WT_lrW_M2|iM7TUKrx+OaXY{r?Hg9(202M7*8` z&uBfa&-IaRxUjV%S!6!)KG$Zh0y=XLgvCkBn^_@x2%58263vTN@fQ;>?eC&ieQ+fE zP`%}t%90N8amnp;c0TQE`iu_GA`$@q9rHFjd#I(tUR z+nV6Zfag(ZTNGphTC?Nb)t=c4UfEt@IvEtuG@uC;J2*HCG_uc4;*P#^pBuM=>Gi9t zRmnf^d-NA>ZG1@CBk8S?dgt7TZI;t$beZEF zN5?SC^aA(L)F%^Z{QO+)fOA^?mHncx;6KAWP0~YnJ+ZEr8bODR8O9TBd%{mIihE=* zy)XQv*j=%-u`)<%US6zu$MuFEQB)@OFHlNub_7`$s8-bziYF2`n%;86(``$BYlu(r z8oSpbYH&SAxcqqjED7Uy)d(fMPJ*pZiyy`>w*32pCPviUh8MX%RfoNU^|VkyU6w^72e_% z-##w$ao}oU|$VGl7HS6%OL{kKi^-lctTls)pek znu7I&R)Q!Um%-tAOv7fuw_-rk=*^!jWDTa1i@IUaet9;>P(iMH(Ew*c@4k=Yw$ z5OM=0@O0!Z?>$xzbM4QXDh`FnPrHb~Hr4%$71}m@&Z8;>c1QQKWxbI>@A37KE&QNN zC~R;s7Knvw4M(EzV6T1zl}}vHSfiJSFN1&R;QBQ$hweuX%PFrN;kbVUV>+zsLeM`1 z>OB!?o5Hf9Oe>Yo@w|*Y^O2?P@lK|nk~ z3$!)EXPPpwa??_4WW4Ab4=gP1?(LYWpnNuk{kF0+fL6&zRHUNHq1t&>*u^6f>?sfh zFAQYk`ms$bN{vubPG4{&8Q9rB!l@;`1YH@&`%i%lj&@gvHBEF!95H&`bK@F2RtQ{5 z(PduSW!_QjZ`}-Q6-@XI{VvHk>=*{E$rVj`F2qy;kG%Dt3U2w@8EW3Xea<;t20LP14T_0JaAR#Xi*a=&3H-fTzHs!%e~9DFOTJZt*3ha{fV}Q<=W6cIhv+{ zof;orb_uqimw23kjzlT?9Y|}diMC-IADr);{ug~#vjd|rF{V9JlJ@kvk%=njrw7Gh zSzM?&ao>%=@~mCTC&uTQs%PwGB^uK*Vdj>%#3<0SD4dkPDo4NA$@8D7Y*>+R!5f@CP^`XlX%ALkC+-z&zJb zr4opeG&0Jt(0%soCYqE14>>(LWNR@E1u8l#@gr1ds-xv2S(d@b{I0+LNSi4GOkTq! zi5m3f`aJvCxUyW3QD!Y$r#8a@+0}S*A0m|siX3;@=Xt%-AYMo(-EZVkVjI$ne9HNW z(5^whYqntCsMTq0FKhWrfj8O1F}XUC6mS)=q+{1?q4I!RRm=ZiKdoFLo5_`06Ka0* z0kx3qZ%<$MYRwj9oaz`t<3bqB@Q_h~Cl3^stNiP(VjV2eDZ(a0@`QU2#0iXhEDz`~L{==)%>m z@gxAwB58nz>3Mi&eI7qNtcgA_f;AcS<2?bXOeBc!3|-|1pBjLCv|RMHC$p?90&Tyv zzKoQk|7nqz(gyR-|Cm{oeHn}Ul7hP8FBEULVxOJRk}!-d{K;vwuO|7~=X)@p>t{#& zkAO8-@s zwmotC66bq%y@DQM%Z#g7PqA``FbXqN(!t!hEc1OVi?)>Jt5m)7JJEkx9UeuF3zc&A z7!~T?^o~ph@z2jAkKbhh%w5upFJj+ z7nXBEbKX2w^s`~NPd@7q9>{yM0l)_-au`?KVnhPBNS zO3pw*k4Q`Ft#es_S?4NdwDqSJ2;c8bx;{n5ke`Ub$^3{9Sa}c6HXejMJYD(Fjy|Af z=Olb%{I?|3G%M6}qFh=!)^;}%3O|h5y=Pc6y9-HGua{^AVKnMc;iWWO`JRW#Fg63& zE5kVCuD(w7X<-d-rK; zLQ#R*rJKsHlnxOk4YfPOz9^+w!@d;huL%CeSQ%PLvj^$eTF)ASZ)oi-j4dkA zmQHHowsp8wd<*BaDmFBrD^^*tlNVyaeZR{YGhlwo`BTkCobOPc9UgnEZR}1FY#vgg z*95R6+;wn)j7n122{blO;4YxB$-jdRc1z5IAKhw)xoDu@#v~?EPu_Qvgj|tc8i7wq2=~~>r{|h2AYr)*svWy+Xd%zWKtQLErIUW=c4_oq~Voc z#?s1KXEB)gg?s-6YIGrEOaRGAu-u1MM z%*#(I);<|*%}|rqCNK^$GAYJUlDKAnp1FQ96k_$e;aX&OSWB}HYvZ~vywNXI=*0%eldP0g$FN_5J)6BNM3y_(X} z0y`^&Pr2_sC#prZ-`QxydWUY|LEsI2v<=v#5q0Cm0Lz%LbRf|p$l}@g`FPr&&{kFO zua>;g1JiLXuZx~CuYI*JMCM+9AZTEeS#sfFIvFX6iJf2+o!7|= z?Y@99aJVE7(@t^!#M|L9E`$1E@)=>hJ&NC-Fyt;V) zWDoV2wcW%&@da`3Q<`T&XNf;YOQxKphf(9C z&YP2_p6Cwnk$oBF(0I=_#hEGznkL=9A_oX;S+nrm2Nfsn>G+)8Hh+f7gNX{T!co!| zb!$(ZeIz zO)cYal8ftKWP!==cRe)@^KKU>%d0CZeUm64na78r?P}=c3_B+$YW4c1lZLKtR{$Xm z+WdLYw+Vf(sT`Mug@u;I;mtp_(O-LngFzcl23J3SiB()o3@;er(a!jN%XcB*feX`* z;CtKG7F;{I1(Q-@1PgDW;U&E3e)|j-<>n+tTDm{*?ts!g7CcLrtz5OlL>6EcPL2KRO5 zPU)7Wl5q*{<3Q@?vk-4hR;+AzQmnCTM4CnxW!RuAFps)pa|w70vi!Tksd{+AZ?|qy z2*`bw2KaDdFec1)mSQU^Y6xpC@N;)Q%rX*Ba+7z;QyWn;bDXGf@X(Q`lFFC^q~K8; zf*=2nrq5^g?cbd4W0UnszeCi;_=&$jRUA%#$p(D`@@$Iz{z69XXXnW3DqAVFg`I>y zUJ@`o3uw$06<@OR!ngO%HlKhcq$~W#0QrL+I#11NZW3a* zg>2WO0o@n`w=r(bbpbGB&#L8D>6Q@fRlnw*9bxY;xEOktE*bGNhYIjeQW9z+plFm?VoElyp^T zEsL$yb&jHFeob2unT!1zbmHIrVkA_t`7rL|mXiC@ui82{a_o1z%~b6q_lR&L7iOsJ z_~z3`NU*QOF$z5)Y3B%>ZN1l?2D7_1)}#$KS)eBLA{*RG;hLK_rh?O<+f>@@Qt7)ryt z`%D3`ehp(q=)ZL(wm!Gd+)Yxk#wlN*d00;Zpzy>*>ST;--(QwKtWT!ajEhW7S)^=9^FOG*Gg_^5u}0*6(LUo7Ut1Y&I-4M?lMl z9TA|;uI&7R%2x3yFz85f#`0*eWm-FHFk+_UlYXw#A&vuHb0&FuPWT?tO&QZOqDmPB zg`cgtQvW--0~{WgMdOw-_qzv^6AXtXOxt4~3@;ORM~;5_CHNz2hr={Wh}@;|K$hh{KgiOwzXj zVOP`5j7-+?8oCLS)Koi^J6TxSpR$i>lUZ|%Zu3@5+z;zh!Y&RF)ll9Lyox%Iqqu$T z`_|HAM^NDwi}vq5d4Mn8!Ea#8$+1g8C5}I_u$laTifoIRJNA$y;)iFd2HX~>Z>Y`$ zz&$YsC&iU*6QD^`i7Z2vNW4T_$FxXW_w-8UHF?5r1?Ltv*(-picG-j9mMi6`m`RS=WL&i(D9F`bs-0X)QXDj`Go+VIHnbn`Tp10XC3Wtd6{f=2-+kuiolug ztY@PWRdK$9m}?CO9YG;%9{{{eR^DcQD_H$BDn*161EvRi>Xr1oF(P^dd<-X#Z)K1| zR2%J?#gJ4Zm;Qi&^LC%|KJKru^rbsGyiXhkgQPC6<8kRQ0NRxbs`mzcjcaPWJj2mB+V#^!;$_m-yhL=TGp};T6k%NxlL z>--9co+K48!2rSBV>9%l(;J5Bk+2jMUAwB>VxHL+RH>uww93z+r!wH;81-y-YMuGj1IczZvhe=+`0IIQC(1_i<_Mg<`(oEPtuR%{0vDARCCt}?1Atx40@++! zMP1E-+|#N_k)n6FgPd*|IUD$>@~-ed>Q{C> zoP8^yv1chP%;B*(9>fF_7;i~DNht$sFtQJQl4!Og35@KcHU`NU=0hf`vP05R+6R`& zh2pD}b^ENRT`ddvbp=)|UDsCDj2pXUp!e zOJa}-w*HI@uCkWkSz^J_Ff;oNOsV*!Tx53lg=vrH*<2P^-lU7oExZ-Bdypph?YLr0#zv0$ zKw!Q5?B)UY@RkcNAm5Hz-aDI7V04!QOu%`!Kfwy`Y91dE0L?s9TyoZsA0{OU6snJP zomsg>*hRSNZLU*V6~CwwvK^_G;gDBw$njs4JG|Kjt{x`M*U&pGGns~!r|-}1zj`u^ z(Qij6gW3`b^`34db$_4yxx_1gWC91(Wi=UW%glIEqk}Q2eUu{`*L)dvmXhq+L`|E0 zaiC?t+6##+7095DuUpl^sT*xEd~*&@82ah*_n?&p^WMa{+K|oDxnP(j@-*hWeyh zH*eld28*nI-6f&WpYI^@e5=*d`N?ti z4dvRi!Tz!fB4uPCIPwRg3j*t23vEy3!J?L(9TS--3}*HGf|G2y5lg#iWv9K@ZzW3f zL-^9Qs;sHt$H9cLoo$~>nzw{Bf-4i~^g^3g@sA%;qW@QCZvj=+8hwu*1Q8?!5u`&2 zX+gR{Km`Sr?vn2AE@_c2K_#WTMFb=ilQX7@tnQC zy<)Dp=FI%P#(AO7gvkKQd`m0ao|isWRyhVxmjtMq5rGb*g)IZaqwE1gFpN>8eAU2n za8@Tz(!2bMK>WT+bg1jq~Q#KcPeS+L1CtkQP9kXDhYxoUmPbzlYkM@Z>zkMEa2-A@2+<+@O zek8b_|NdJ~4?RDB62kk0<=emOLi_vsENpBa0NqQcJh)7e48&AcQu_SiQT#D%9{)AU zdz#S$tmp%1QZEF7IaO0L_m(-(voN^n62Mh%aM%NTfMbw|zwP2{seS@|#0nH0b3n#5 z1#y(6l@$kYKuiuY0q%qNaT|gB)2HA;WY7dp6g-K$Kv+6lcm`?x{$bEtv;gtW-y*QA zhOO+x&?|O!Av?{23-URXsy}v&V>cCYMF*&L%PDuBx7_`kW#R6^jb}bS&=kK{_;OG# zrn}?nKcnyd>$>V1jb?5SYZ7K|hEANkp)ap=XBwzizo)>C@viVY2oQY1c^*0HYuT&i zNB$cBn}40=p#(Fh-4mlt@j@`&{!eR^!|(@PzI*7##>oEXy=yy05Ebn{?KG-o$WbZ*((Nry-9Df%gWZi=1XmP{ z3{u2_wA7$<0oPlo`3S%q|!=03yS(`$X>(4}ivMAE&i(J_SC-k0#e+znSpH_}kv5lgG8%)#@_z(f*< zwQG@*yfDF&T=l67Bg1w23i`@obBY0X{7lup7vq`*5x2nF2@=b7-Kxii8gT{IrNh%* zKl06Abj**06m!Q6el?JMj0PPs#*!b0E^HQpS(O>x20*t~03N@ua|Cp0I&twV;Nimd_E#}qDx?C32TvFU z?gEzx8#FjLm`$@PtlX%p!t5vgD_|JylOv1ZV2Si9X*(?=<2$gh1KQ{HH^<7)=B|nB zgKd(w%eaXbJiK18EWoB!6M36wsPH5&)8jQPCOA8&fTRyHDh-l=%5+^!h4SAy9_pI| z>e2IQiBN{9F4gJY)5%#m2`)vFNA?9-$&+W+O_j@37uEB6Wh)PC3Z`V;HNt()t)ql@ zdJ1_GSI8o{_hlO~^|4rs>H||9$)2g-{!X%PDEatVhP0%T);#ZN>cRTr8KUIMl1&}Q zesSy9^jfxsN$5jLS#>>UE$6d^GHH@f7~2o5*z%k=MS+O8_}whL1BzG@jZ*NEZr4}8 zJvZ=0S}^B#Sl!4^ny{R-rKRTp_x_xy`KYx}278kzFm8xUP5o(E_x$CxQt`08mf!gQ z3-G;jH+Tl2>DR3#+qRx3f_~ZCs;V6VQ?Sf50KovOiK=iQ;8ud)A5rc%v(41S#h$5Xou~I0IJS55PLQOMTBbl1B$H zwAGTi46fkI{l3fx3r@I~p6-@W~ zGrD86>GtKV-=i^0lzhEc$Y2iYfFFFpB9AsaZFv~n`Q7;z40u1rg6n4YsEmo_-L>t% zzkg&)QhHEQH@#8ox8B6fS{jsYM`=;i-sk4rqft?$%x!q?Twat%SSL-x#tR&~hQN{y zmwY~DXpevjLt$N<*8N?u@X6}E*9s~LsYM#<$M0LzGjB`&t{&KKdHUoD4g&ci#u4p@ z=I-AA@Axmm{{Oe1lT#AB$prESPoLr=mvwic;|xI0JV-4_n1aKL+dA8SL+i-0ym_7)51Le|@|Az-89C|E)nj;_BgA!SXF^=jm+E7>zJVQn!nB(523Chts9Ap9muIy8`Lb zN!ibIo@tHCG{}k+>wIz#g^gNi`DDCD6kp;V%3V>Krp^)=l4>PS{T36%h(D-p&d81R zYSr%FyERG;r#os->+cs1OeM)Hsr`Uxx?@!B>Y+=2xXDj*%+jAwe*xpA-uszw>Nd0sg^IXejAHtHnA!ce#> zmd0Y=`A&_h>pJVTRn}`)qN+|N1s0pLb`^>#LK!l^P5R)53wiesV{QB- zj?IY{k01-_(ss2YFEj~f9n1>OJDU~pm5LpB`uMO+XMpnW^!wCkz6-X8$4x&R@f8i0 zsryt$${J!af)m=(U9o=RJdb7-jW$SWuQTYx^I#U#T~%V0{TY_vYUYGrT-tRk{KSEA z_ZU0I@%xbFf~K@@eCquxej_6#5z_1*(zATQ=eBN^Q3%=g2%trX^yM&)0sgD#cI&0j zAor-YBc8LfGh(=dggYowV55e{4s2;?9}$g@k3&hZ2MpUX_x)F5CriXIv`pF=1yL9_ zU5~Z9P_sVFG`VjmLcG z=vtK9U2e_8Zq0=Z%YTfet_R&qIrnGe8?t>@SR7Klg?}b>eUf~b9>?gX|E+Ze{2%Bx zC6h843{}3%y3TCrgx^-n-u(P`X!VTmQS_a3Of=J*(r~rk1gO+CHW$(!2#7Gca+8m1 zgf2KN|2Cw(1u4%sOJ;Sj_gn0*rv({Zc2sN z*^?C+)<1any8WiwYnHbeOY+xooc}!gkPH5o4VL8C8i$B8DJu9XHWmv3Eo_V&!)I=X zooyuB)XsQVsvp(*#F}n`J-KOe1Z!=utb4TCeY##5y?E7KRBznoas$>~7&G8TxGo7MU zC|ep2bbR(tYz0b|1TH+Z^UX`)X`i-ux|E1nDS-P8jl4N(iE;JUI`C7X4EfuMr|oBG zwRF}We<>XHN!V8J@JU{7H%S<<*I1iu=}_7^oKfs|sE+TegNZs6B? zKPj6!p-XhNFPMx4y2AkY?<%-cA__@FApnNSAmBkJ8&vjGweUv#N%J)-?^oPYC;a{xQ z7QZb1_To-uS&E?5m5*!L>z_C891u7*(7m<7d;h9o$kJ=@!!6fz(G{zOyVM3)V2#?W z9BW9Jy!#sLRl&J*>jGB3qs-%z`lKp@)Kbj2hu_VVcE z>4UCT50Odo+BF!>vku?1;9sHGjuFTxa1*icmsXSNO=y#P8xSzK;G;J_b|(P#34#!9 zO)yi~T~5+-fE~K$5JN$)X>j&Qr63CM5-|nZfq>CGp{K*1(uyi+X{|=jI*R`7PY69Y z>R(fc(8!04=`@9hOj^QT9_sGuD_lMz>ufUmUgy+=86OmsPGgHpl+(m}XC#ecYm5QnE+{I@UKAJ<$uB1j;?K5`x)hAtq?oPUQs?H=WB_9K= zT2tNKdP@^^<*^@uYf!Gg*@B(%p}c6;i&Jk{r5R1o1I(qUP;E^RjF2iG$T|7md7$F_ zasiM13Al0{6)H}hHtkkNDU$ArH6yRBXL=6G7`d3yMy0!>FEzD5X*OzWd3BKdBiv5xBr*PG}_N8Aj0S8qd(p zY%12BJ8eND^5~^bOJK-bZbo0O%ZVLMkj@8}NGKu((qux@+heszsa5gA+p{819%U^x z9=NF2YyB{I{7vxX&AS$ouj3>Uak$;u-=a8BH0IjvdQQ#^f}tddlCA?aLxrr8nnqV* zC%eM8GzlHKjLi2?@#ht2j+3d*%w|X{br|SOo7$_fsi`!Fvem|?Yd@Cld@H6qeIW;t z=WAJ^qM-mRydu90sd*rH!@d+zC2bn|^-000Q0~{#u>}Ph@~{95+`xx7MI*_bDNtKm z7C7W;Obbe``0NX1Gk-pIj|TZkjJI<5|CxCwal=e}{+V_|PNb{aXle;h_Pd~VOd8D3 zAi9qg;MY5!!>qE!nTs7|73f#-nhrdIv97E}3-V{u$R(|9iG_ArejS8H{zvu*mM~y? zYhv5HItrHC^ZyzEnpS9Fr9$&xR_Q&M&0e8gxx30O;wV69Vfy|f4r`V+dMfl}JcWv~sREH#vj^xuV-wx(UR?c7Xxp1BI zMXMB`O!*k1%0F6kI~ ze{d%Key&U?RBnl2Rqg85*{7w;$;SQs-0d^pvwn<fQ|n7q%Y0 zXQ0L@{xxymqB_4?)4sqm!G1Jrq;SweS=fv;slmyPP2Gw_lcX(xR<-RlPQ>QY`8h*8 ztG@&hE_U1KBIS=bPurQJ1lN)zwVBBS8M!$20PA~P!`~eJmm3m><;_egV{m$L>aDGv zS<(C7NRO*`Y++&*^- zw^_cdrW_fXk(O>BRE_EF)xzl{pZ_gDjdn4q|L)5hnIOVF`s}4L;&^A)$?>SU#C6p1 z&VdfPm>w32i-%w?T5Y75jUrxsgxQ+?=I#mEMgE&f&iiW-bK-_^Z(dwQ7bDn}Zr)M! zBJ&vQ;e5(YL7W%%d2U?ae0+~tszu4>j0Uyij%i17zdkS7EcKI?2C*gOm8}g`%*^lV ziK6i-{fn&LvlUA_k_YIhe#ZC5lgA8S*sqA}#O^a+bG^6yjh%kmbnzORo}b)tuO zEC(DzwFfV=Yszn-^bO7E)i`yswKSNkLX?=#wT&0;(u#^%A1Z#QLW#H?X+Gw8i%lnk z_84E7rSp!qgPGwbwkgwEqyfRvZ7zP_kvFC`hirm*U+=+S|28TVzXD4<;zu6PAaidt-jYU zZ^Nk}Ramf8CQAI=&y+p1RrDCouWDFnoUAr?y2qs2r0xY>2FuK34L@5);&1c2-rDI_ zBNgS@+>uv13CXeMEf;Z6-#lXPjyjCJ-2Z6RAmxCC`tc(kg*vI_lb|;@D{pOL!|`+4 zdtG5b2DdCHXQ?c{u$bLn<~cg`GgSE)iH*(RZY`SW+#1WJ8H?k-#M=jZWu-5}VoEaG zNXPZ`m-|_@*wy+J=o*;3-!(hxuut8^RaM9KFScu1vGZRjr6`%ME%caQdQRzU#VZ@9!cTCR zsPU+kJPo7@KtttSe`;Ue{jJkWx5+hbBk{0uckvMCL<$QRL&t`N0%hkK5h$S_Tv({Z z%yHrxalX9#3nSwd6S0*12D9Mihs+Dx`>*5TD2~0Pcib?!xXn*)-r(W!rF3JKQLUyk z_WZT|vHQC$CW;GF`-$XE$CV+K#~(_U_v3CGqgC!n{W95s7(Uc-~At8DtOTljR!|vSO{lo6Q~B9J#U0z%_1q z|ETd^?;)=uerclaRoboRiEDpoGv2;A6(IFnSla2cUL*J6Go-*66SFi(yj!DV%|am| z#M0Y-E{c+nY20xp}$vPR?ej!Zc@Ihs~6QBet=zi`(C-cq_euSn_X z>|`e{%DqQUu`5^1+cv?gkNI!>C@|>Jj^YgeFLd$^f6Gfuu^5aNAL1_!9%n3XqFsxs ziQe~&5l(h>EKIU&=$q!cy^$F-RvK27mYDeEyl^S(?~8w88sUwJ`Ro44S+wWVd^W+M zujHZk0~_%|T8mrv(9=>be|ZH7hN3B1Yfx#3k|vPOe^XowSVeQ`Clb-<&5n%vS!thL zv7}TpSCjXVN&CBY{dq-y<=S&Tox6ey z{kjqE#|IQ8;^{`$uFwAHX!7xR)G?#${TJt_X!68NfDc2P`Yjk_g9>8~0Kas{m zao~mV@LJEdcw2YQ^75Gw5fRyKPYG5VF>`Qq<}1G+^3leAo=o@4 zdfI;Qv5@fKBesl!srI(=?~c4%w^UunQ*2&M->l)Cn2ZTYn{=wHSA0<<;{1)#+pJLQ z#GPypZ`b@dFYGY9Q#{}z`>)&hhpevZ82i?BF_At|u97YRo7SkfDD4QV!9-~}VmTWk zTv~6N>c)EEqeeDC5^}6v-Pxm^SAY1I-#qa))u#;zl@meD{m5vJm0w4bXL5VM`_iwU zwEgQ>tt2`kD*Z?Ukitvm+Zq=&g*`yH05-eCH*TO25D);e7b2|6cFU+gQxtef;%_rI zV9lAm2Nxe-^`Fq3MnJ)9kkRSRVBqDwX>V`uFbT3138WaGhlXzQ@fFWrTVG$lX#-Bn zLGmBQZ(mAf6M{NCEdN%@_TDXg4?)Od#NqewihY6Wb2OAuQ=a6Vigv8gd9LLMyV^Yt zj*LgBp4Un}eQ`rv)Y)%79v5p7Qu99+cVR_e^L3GKuhFVVjgE^~EOFD7%6{N+sE+j_ zK9ii~S)6=~JgyzNA9HEqG;xDIBX9c`G#u`)&SAfd(!?_R9~%d6wb%Am|3&L>Nc2yv z%rhwt^{eu1U8^iji%#;Y?Qcw;)bpXVRGa%PfOf?n&%)x*d}-^44avkLQ?yw8j)7%1 zlTNb2^&+RecCr`L@5niH8iL-vqYdjY{QGB?2KHasqw8I^$bn#U6+BD@1O)V<%VK6{ zUp~wda=s2?DghrqB9dl^6vfhN(S?_licX8y?UR!e2kfli;H#8WRLeexo8y51SS^f| z8*EL-)8m#!t$`5YIjT+91`jsv4W+@C@9)Ncpu@X)6>)I>(g#& z2)S&MxrtD_Y)^GJi_z0xi6DJKlRMC)CCJBjYq2Y)3nnx3o13_{wjFx;sWptfM3bQ0 z3oNUfP%Hf&%p>5?ZDKx3g{P{0c$fsfhaitISJ4L%3|9p(J47@gz>7H0jHY;T;8Axc zC3%{NB~_vIr{MhVRI3Mg59-v}&Y$rQabwgq(O|9#bCG`p^TZJJSE>S9+?0BJ_@T{z zYV+GUu(qzv*=PRMD){LCmmt_*ax$J3_ZX9qB20Nu{k>{!MTxtX=VE1C)|ybH%Z;6@ zJGHxVJ{n?t1e3UG`-!s`kTU8yOdod769oTSwfEF?%SqGV2Pqfy!EXU`85#cmSS8cB z3#x6hH>XeF*eWx#{-MY zD7*rWq-1qJ3fi83gt_1Fqt5ffDK&JP#>zo#gzdY%S1Mf008J| zSy^$sT2>}FIkfBibelce`aT_G2K{Nhq<)gfCJCw{|Nff0XMEDA#N=%LOXPEYpaus= zPZB#r&dp5#cx=Jf2&g~*_<_ILpA}kM%noS)05;sA(b2_)j)>zOfG^k=VMTz8pT7%a z&xVAK;82wLoO}G;947{iEMT_B$0a3Q1B*@|*cpHvkvh!ZbiEH$(nURQ(SV6^#QlFq ze_}#HFpZ6k^+DcXy~TSk9g?RpIr%-i)gL}XBe&3FU0C&e-KexmtR(+6JN2#e;|!wb zqN99T_Vr%!zida7a@!`ykuRjf;Cied(!L^5SU_lSt}7Lghmq#fdIdG6b}Vc$Ubz(8 zPik+;Sks}dADP-oUY%%1*KazT@11X+Z|=-kUdSGrc`FksVT>1oJfHnBUs4YE_Zd`i zuiO5SdD!7R)p|+Q)AQl-n%Vu=uP8;_2#LZmJP$Yh)!AghfMyr)x&^>Am!lCwtAKz2 zM488C626PCrlvO4a8oBMn#+!}BbFnh-J_4QTP(pm&}PdC7( z;!;yzgFgrgnB7-stq+PzOIJJf?im^y1|X_FQrUa0Hx%#Qxnsv()tksJ4R0B_FElhX zz^cFcUN%ZfO6m&gom#0b$V_y>>I0`*NO?Io7&zIT9$HubP~?>^jYnJ@5ycx|gkgiI z4X9Vw(B8T8VR#Xw!p8ognY6}|6E)%K^l z(f)y4DlYjR?(PTO2^rfyQ^H*|1_syQa$Y71*Zcw-lbrN#5_d+QPo)QjqkCu`e5HxG z^b4&Iof6Zd(8HLx`sM3DkmZ&$k868#-qDa|h+GzS@Q9s*2bJp|pYV-w$GWYCr}$C0 zQL*s+RXSSsL{ab)l96GRACH&C4-6>P8-YhGKj`yZ`WKk@a^8X9__5Kx0<=yepc^Yi6DF4+wisyK9;y14L7O-*T1s_E#klUlxjdxmVAd}(hlH|%)L z*M9_5@z0~9r0~>+G&e6~zJ-X|HaeB0d3?P*A<&sv#IVk#XsxK!GIe z+c$ZDlkc4oq-ADCL-;WQaXv)+2%lOc3^oB4A#9VMyG-cjRn+QtmtKk&-X`#~a!(R^ zSArpe3ba(z*E%9&c_n4l7hFb4qm$xG9^VAy5 z40AYk`hU^tt+!XUkL!~K3kI$;Nl|MWpY6Xi$3 zsyYX7*;s>f(G+Sr7qn)eQtds5w>pFN2V-n!T;I#!m@Gz7N zWNPU-xjssx8(Q>{lai{7B}}&5nX^<{MLIz?DVVOm^rUa8M&WN}*fkZ9hKx}Y7AX87 z&E_D}>htT427STR7^at&QICHK>FMc#><=kuCe3RurE-q`D%BG|gNblRXy`RuJgtj* z_v0NpP-`g%O;C^!B17#!2r3{6t*(CXskk_Sn)K$)AXsJe<7RZlW7BOSgJz@-8j-Zc z8)-0Z!ftA6icL@dr247Y-qm*`kfDgl`AzRgP-y5PumQRNIj*z!ln%jd8?Q74IzkA9 z&^ge4=diW41?->GVKVg+UtTNG(!zr9=FJbq1M6_!}EK~z3O##bhT0as|@t? zIUS#vQ=mvP+}1wPNCCxt>yq(mI5jY%QDES%m8FlHV|XOH2bLrHkUF?{c%&bNpS7baC@PY;gbPDm36;k&5GF`6H$XCry{Dq8%Botc z@jV76=9iwH>rh23HCTt@-VO)~!q{;W2?`E2e?W~&hDo!o&xr{ry3^gecU}DAm;s{Q z_`;LPU>wr9wKZ(c(i*i*S}JMI`1W7Fo`aV5mo`bCv$ViKbO#5An=QFuoiV@r{SuwO z+HPK|KB%IpNqhOh`K*K|S0GUpA|`b9)6>T5@bxu_U@hf%8T@nalN z0lY>^O8Ox$uNTiR6C~1*R1q1O7}y*vMR)jTHl{m1>#izDNOe`1^x9oscqjbO($&Ss z!NCFkQ5$GNp5S27aW=t@7_g<@c^++R+6sD5!@xEyDoW)9o8sRb)CyfttHQ2cY1zZr z-?G};lyGnAm~ymReW=<)@Y=tp@f#TIT2+UPjj6l2xmBf>)gJgpUHBBqagw&xR96T4 z`%6ZA*oGe2&grGdMbFQl%EgP=bU{w+{{H?*xd=LHPE-gbngdqlPS3Qw9bGZf!iz5OmBP z{_mwlfnSP+g{9;}yT+Boq4Nbk03jivUxu)&AqYVw!#+~2IP@v-91BIp{$5U&MkRxl zI22O@t-iiNK|%VUHRSg1FAKlt2`t9?MMU86*BC>eghfEm1)ED;u-O5pViA;dI^dCV zI^n~j`|x6KXXi64;g)W2$&)%A@65Y2+ngQmvQt;e35CoshQ>20ehIurP-fgs1nbQ2 zY-d{poY!yiufal@yiM>wfAnh$F!xe#a^r@5M+T(8?uw?`xM@jABqeVu-A%V<1?C;4 z8-%)K9)ffa)yyPV>11>&B=-P|+0yMxCd|=xc76cSz+CDzCi0P_uzr#PO2R~4@b4>u zl>F&8>gv(I*z6y?|JG=w5K8^^&(5ZcjEdTwYeUDvxKcmQ5fr=HMJ5d!!Z60;RM*sW z(EBETs_Y<-MMo9Zwb<6(jeYg%)jIFfnv!<954{ipJ}j^C2EBp5XiXpbZOD-yN=&4L z!X#+l-IB)3S&Ai;s`Be!-54f*4rh#m{7edqE{ISHupy%VeusZI6#f&wCvAj3OsmBS zkzBhg4*8CZN=57B-zkD&C5QYFkP$-p6%`dlGax@5)&Q;gv}arvP~f zczAf=QH@GKPB&7K*E@z%Zw$8OmsAI?YY69O{`W0Oz9O1!I$V+ z{c^Q1f&b*?=;+w6Ylb~s?V==Vd2P57`64Gb%u`KP82!uizjyp48~IT1j_sg>!H}W9 z0Z%&}QMeP;<0LufVyc(@6Osp?{^!e-`#{jm|Mf$OaEai(|DS*Q&VQer@-aR<2=I!b z$W{EGKce&mBttO)5P>Eimy8Pq$Jb*2m_aW3b63|j!*Vh-G&HC_f)eS6ebA?#lA=33+wUJg*cjD-AW>OWWqkB!R?W=|7zsRFT>4PU z8Uca93WAyfEnyi%O$$MX^Y=D7a&mH&(0P>i^(nY4cH-Tlpy-9ZWDFRW13 zH-{n)m)QiU?$f(>e&^86_H}oMe^23&>y6t;g1)N^h<@dOMPT|-iF#ChU$mWW=zwQp z9FC6$6!?=BCOF7j2NvkBr=K~w9^+R-Llo4})#cdA&&PM))YP;Fih$s*XXyfQQMY+y zZ6^KD(8q-TG!16kyIfr#adw2I^S-{m$gSDd*7s7IL=!Li;X77ypZzxxU2$%1?zfbM z64M?tc_pAW&Jgi?tqrHE>Vt6t9 zrRRD>J?yT+*V`^*eAU~+@9$sVPm2WJq8=>cln-QBeV^rE#@ zT(wv;xU*B%I=I*sJ_Y(U{IBps^(CuXwKnsh8~|I#RjP(Q$^)}f)7(SOC>UYp2`V&|p9Ay55WD&vSN;0o%cksAM&Jro&$g+g<{~!nJjDai;LHU=cu!;87qN z%q}zbpeipDZb>iz2{%AWvJGe&NOnLvql1G3c?E?b*)fki(F1_7qM&|2l4&G2FE6h? z)b|K~x9Y|o&im@tU=TqBI3)zaeKh^Xzx?Ic*h`p5;(;f+{omip@Sy304w?Xg8bQy- znmzfgV1`BYG>I`zUfMyJt*PC$SRiQfqN;kf!#Cv@Z^sJOzOxyl&Ghm>g7!@9^# zN^u`bR@F}f&SpVo7}b<6Tv}RMWMpJ>kog=Y|ID@$z(Ef#wRduQx#31XoY|15(dr`# zg+(CXKlEH&Wen{@p6eryK0aa)#i5Pqu#T6%gF*qe0$tjd-rgdkz!B-K`b_BgXbG|O z_4Pkn?;ji>%{pM8v^TE{^S<&P$^=EO#Tag|MgpQ96$;6E(1I?&-Ry)n|9SOAV+3Q> zVeP=wRJtafFquvpl>+lkdiZ$I7cSO3x!X8gAM4DrhQp3}j2k0Rj$D*gB+?f5K5TG&qp4CxrP0Xjm|XES-Xsr?4MS?bVKHieR_l?O&=EqTM98I zrlyq$B|<|}vjXJoI?0THs%rvDv2?Eg#T8y&V}u*YZ!@JI9v)uxHtO|I@di|}T-i$B zS}y)ss%mTZox`2|z0Usos`Ey@AovTA!&hJh0eV`F5d7GH5AF>N)4rLROmA38Zt%eI zkev2-s-OUJuCF#hU)K;4gdtqTSI}lzfffhyC$e*L0!&`Ls(_${=?CHl|3xo=Qs5mT z?=B6D4PBe8Skm10SIQ~)ZOS0P{d~@+Db<~wi0B;D*Vl8yTLe^QtY7@HZwrTjz!ZXk zLl=#hS2DEW5!k^}BaN=ME>I(~%YAAcDzJ2Qb;W$w@yyUL=Ma6AXI*ztQQ0A1$azB$ zoM`aKxctIp=vUU(x>ZZGyMaznMOl5JoR_(=u`v$DfGJ5yq{I;&eZ#{E&G7VWLRy$0 z(2hYs4`sL3gkft11zdOww!5hi)9=F@6A=|1pK122rap=Y>msZ6C;l%zv5-4LH2?|g z|0aib)BTsp=9Q3w;s3)QktYTJ74xGiY?X92)p2lP(NFCc>er3;=QIAnpg4T zI5h9Q(LENHHt4nIp-+jE$AIGu*>D~*1C`5Doq-k8qNoi45fMtrjqoqjKj35_;I{Lw zr&O=r;VuvyuR#t+N!ZwMG&MIXtEeEcGdVfgNolEHZuAH%rNpHasrBG?g@fAMcg%+k zcOK)1_k1@&lY7n_Z)Y@U`Ie>r04IS#Y$9j73UZ7UfpQtiN`9X0N zCPNRXK2puYCwSZo0+`a?-rf;gkgMx_FI)cEK7RPmF2?M!UWpMPl5m&ifk-&y%q&C0 zCH0b!n7F+&nyMGzCm6Qu*KNtgP@5=nzK4c_50)cdnVNP%nFQ^I5!5jYhu~^n35~d8 zD~+H-(8=j3Pq}&@H2LE@^X(b{Y8yqC!&RyQXmw?Nz6~w~4lb^-Tr{OQ&ySj(i12U& z)RGU90;pwuxcw%?d!5dl}*)BI)1L1>>O|i2;%g_qA)+5|fjeNuRm93r0jo zzk;zs-_M_M@ThhVOKNemuxgP2ENaNX!J$pXdvLsKv^`tsWz(~u{ILb{P+@v&wTIQy zgrn?F9LCGv#M*001XX7B9O1deMFA^~ymkvXuec~-&?reOP3Qoyx9j`@Huoz>bv>iF zJI5gCBUQwtm$#7-!v@SaJORVikd{WT6=h-y6%-IC1CZ*TR|eyH?fXAB6suKTv_|7| zHq?nnxs0r5Ip21C=s7n87h0=lIXGUydHR%{?H?Q( z$^-KzXoW=*!TbsO!Iwh5a8r2r`AtEi+l1eC#`yH;kEsZCOoo_uYJ@qU$$it)85yFU zi8{?535p=S4&m3{c|cX6r$==KAce@T#d4J*RTfdzgnmU0k-{N0&vlK2{aV$S?*)5e zZ-;|FrNhBtZC-il?h9?I$@kVg8WFcxoFm(u2KPWyK*w`W`840lniHHIqK~^zCf)yhZ^AfmnHc zNv&D06+OaI=~c~LbN*CdsZMc(12a?9FYbb%s^B-$IW@3eaT{t-K<%=7d_Udf=HmJc zL$z1{-v{%a8Nt{FS!ud||Gtuj1~y8-=S%>4o+Vu-qVOS(QaJP0oxi+Ratl{Uu`nD? z-9)JG5Iss;eLlROI9+M_44Pk%P;qh-DI8Jr+|U?58P4wRR~UaVnz=z1%NPn^A+$-? zQ2M8bTgU_vo@f5kI(ERm9f-T$-gPSWj)Pz?Hsf<@jbu4^r)>!81RxY&?=RK!npztb z7OjlaV2%=lhc8)9VfuqY!Hg>^J>E%&S1YBe7jo$i%*W=T%nGL zRxkfuOn6@8LODW5h_wSRWH$**{&xE-iuH>xqaNvujEo=%8MMqhAjN*`G)u(&$~*5Y zEyt~5PQ{_hNXB*L_))HbmLu1V5q1&xJ!Aqf#V0N<4tcDb-6TFGB^;(8+ed)AW5P-e zABvWl84EJsR0{}N1Bl!XBOIjT_B!TDc2ZX^3O9hR224ls0o4XKzc~o;0^s8iL5=S0 z6yh0l&jfv)n4*)Q=A7o#^lPKT{LUYlS*ih!c^c0%kYdZ%A!6_-XfkA?Zy2#%l zLRuaeJwehAtgjaY0Bh*pv(EN*bYyD9#uijizyj%&q^0#RT~GNo6qwrHW8f{%&3(g5 zOt0jw+;H-Q5#$0a92{wRd8|ZEz39)MC7^-&Z^i&Esm)Yf_TlQtgs1g0Z}Xf?lbgc~ zS*0^adWyR3g)ObH`(=o%XyN>UP7v|}y(1ot7$sBz9k9%SA@R>wDG|j79T_+P zAQmNPewO3DXU8B!{z>1=EDXSh9H{x2Sy&|P?6|<`VR~IN6y`9HnF9cW#itU&fc6KD z$UGEc$aEZ@2;`Gjud5CooHmU{SM)y}-gxw4v<#xoYI7$i%v~UG6ncsLmoO)+;je}J z6FXG{J%I#$9Ma$c{v!df!7i8@F;jLK+1NxQ+C<1MTTgHAJdBH=Qq%`F`+vh0WHt^+ zMJL2=U?ae)*gtz;%3*c_6x;%+ebC_~0WqPr{#AOzs@feE7HrTP{|rP519(}O`z%6M za#(B|3NI)CCEHb90lBk}?v;9Clp=`}Nhi%?BUD zJuq*MzQ3na_T7AsTy^<8At8YdS{3077|S73*dVFwsd~Vck%sgPOkRGE6jMN&pI={p z4a}o-0sAW;R_`AlPmD5O7=xJ$rI;5PEOz6kr>EC>M@L7ORabYw9n@6B2laELxrg)B z+wn8+84b+t59=H5I=jax7#>ym@RqIFYFfuLxOd+qRIILhN^QQ?ka1fRUbo~(PIBMPgLi>RndhJFR z#S-T=1hWVaZ-aWs>BfEKK*m3$!Y-SiA;j1Nc>(XCT*G|}!8;$&q1&QoV!B30M+a^T z?eIfrC_rgFw=14yiiE@c5pxxk@eKy-cBL;xy~WEtBJVYDiZFf8cCW#dt~bit^Y8B) zh)nn9OtTj0JkedDJs&uihzVf3o|?DNQa*XHN1HFa%d%}5UdC4>g&z9>6d@|NDAQ~ z2%pR|q$~hWu=HPvcRR^)-oKyU+KK|_Ned6C7y8@{PBbE2SJ8$d^cSFl9a zuEYOv+r3e?le09iL+IG(qe$x5S(#bdnHj%-Y_D%)Yiw!3`kd=IGyP*DJ3A{|9!5s< z|MiCFmNtfr1G%_-aFN?qZ&hqjQ10s>|6I!y$S_7hneP{UEhz60w=soqkXxMixw9=g zp6>ke$YLxfpje53fvDLp`TEleH%xW+8*ktr`Io48R<%;EL&mP_w@*8VKUb|Hp}nEtM85Kv?b*{x z?0;7k#BL9Crx2~#>)~C(oDaGpnh&Ikj!sO(^4?8h58wManVgdHmBMdj#mLsjrWNh(qo3~AZgi0d=Q%CMBSI*$ z#Lk9WxaFpnvD)up;o>%hN%M!MJm$nDA>~Fk;%#XJcc-giNLw=LGPu6=)XP|}{yHfyHd2=R=ABk~s6 z#}IdSlrpn1k8j_;UDg>UxPVPawi5U_q0|Mpzr z^@4g1E>~^s$JEjZdJ|>lr>*P!Y7qyO zS*zRr?^1-ZiHX(!xYRlwB%6-ppSme6vMatmIvS`|;)$qTs&zhMF&kxqu_`PrrKG11 z(5SX2*pM6Ao*?TJoJrJ#~d2!JVrB?R-g1AC8XLrzwX}1Ne=Ux+pY*%mdJN{|(-u1eTtM`(W z*FLww_1d*-HaUuUdW?*WC-I2suL4)+wqvcWB4y>}-`q}DsmEq!v@Tatf)|4MPv6?x z*o4M%T0YMiGVxq4Dl3ar`(gA%;B+Nr*W>1$1$f$a_w!*jO9H-c1qB7?U97!rckt;$ zmb+uAVP|NdEx27>jA#qIv=~ee+*n$os)y3C3rlmc$>;w1b}YMTr0dMid~2toqT=ok z|d7;YG)Yp;v zDwk*5^^4Wpb!un}1@)JzmpiRwizy<(iVihUTcv}1eM7FDw34~~p0P`ph<>W3tlTD- zAr*9f@w2mFGRY+ihiKWj04! zQ}^Z)xvZ0kv9P{hl?$hQJv-WFqA2%&% zC*iT{o4M+HbsyFn6xQ|LPc=1sDv|n?YULKY(2W;*1+LUD*K!ILp1k_p=3b-SaQ(ve z9CpmVJFWU)dNI#wK2FiOd(gW#oTt`V+Y@tMcl^hPOz-7%xn*L*VMPTOL5RS~0`5gw zc8##gbGM!q&DOwegnohJ-comQL`1}7juPWZNiTmGa>H;_P`oZHE)IpM%9$ykohj$6 zo|-Alu2;b8cUhj!%wCod6Z^8UzD{>`a?)O6*c%CJ#?-MZiusi5!@%I6K5Rb6@gK(j zR&8%Quad=3c7&O+an_Z_KvsvN%2(mo$%Tc5wwINRbsbPnU!yJ1$fZ9rbAvgAJ1*Au zcU61&(*17R)x}Yw>qJW+k^alFqN1kH(R=u&hN`u_jr{-0REga_KZNGl~I^ERzxZ{1d4c6y~Wi>apN~uZ2 z-8S3ho*_$E^q?so>Dk+_^d&A%F3$IQEzim?V1Mg-3q9E$Eo#!Pex5X1YWj`7 zbEJ3PFu}1!yB?~L(yI86>|Szs?F3McR-MC6vYDl&)>iAABV7VQLX!}-9+)YpX_qG= zu;}ZY4zdA#(M!kk49)J)(9jfzg@rX7!Vc?%j)gYET5NVacD@iMO?&<|a&gxUS0!>W z>6K4pHI~^(zJ_;VMy%V4>H67IYHAV1EP2>3^=5@GTa%T=6ryO`A_`i%AHs+Ng~`i} z`h`e&>@pk9G-YHS-@19T9UB|_)V%zxE>A+=?Uk-;4y}!?jcynB9@NcFO-)T3Vd2jW zbx@DKZ!9dNy3GIvx?8udr{XL)`{&OS=>)zpZRZbRvBGMR9o^kGe>OBEiJcXwm1DX? z$0RUwJ6Zg8t>d8Ec%qB}df32KwMZ~23bFyZxn0>zAPdPBccSwa_r=wEhZrEW*Kgje zmP1Kixe}nG^N))oK84ZO2{TYuegw_3wwrF~P;IOlQBb#fZg2~e_%Q=RAacaNm+{*y zyj3l?(9jV`%SdqQn4N(po%5G{<{2&Rm(Wlg&5t{89(-9R8_JT)m;*e$dnw~~zHmmnGQRK&? zPXU>ImyG2AA~61VNzfDR+KTRQd@KC0rePjd;V;_S^lbk7KcSvF?6y-!zi{R_nzX$S zi2mbVHzywHksoye(~9)L{-Crj?4V#I3fkB(BXwGN;<>Cq8?nFA|LUq{b#>KjrY;_U z3DL*imnXdj`WEN0PypaL1z{ke=}=HpXNa{{yfb&vLc*Gl$5yUa7YNVYWoVhgy$LVw zP2ZQRZ;2)0w(;6q?qzj7cgR<-OulknTwX?kwKB_@{44sIt+Qd}mPO7D9-c*gWnI3^vyP!)wKB8Y+A`Zn z=HLkBirZ$vSMWt?GGp=g@889=WbcQ*Us?(FT6v$2I^lM6HHG@`ojRgH{iE9BS& zn@?4-LziS5H30k?8ynle@$lidiNl%94aeNvTy#v#=SK-MS@6uT`#h_woxP9Nc^F!o zn^EMAF^ROaW^CN}2`VgfgT4#@U&}!$Sv0$JLn}xWOAMVVSY3b-i}Cf5vwe z{4gDPZqOa`Yip{S=Gil*3Pz{{SMdr8r3Wt8#(O*9*+*-gIRP(HQBi&Nymg<&?ee4N zg~SD+W%`-3WE@w~fQyZdjg_@^<>padQNTrB_S%jGq9-*YBMiuDD5W?piO$FQlcM*( zF!;|lSbO5QUqOFybyjf8u*i5v%?acoj?20+vsK|>O(aX6u=JvZE--t%NcWa*OF)v_ z)g`^^4|Hf#^b8CtWo9bgBx;s5s+AG9NFCf=FHU!0HcN~LsraE|@?Re7D(0)V|NYYx z7*tX`qCR58MmRY&bpmysuBN`2?1vij(zba=ukafR(d@s2K^2^M6#n@^(Ex zwuViVWFo+5M4i3AzfX^-&k`u&R&{EEHG3%2dF#MvHVE0nAt<5HO6p04dfONw?)wBrRS}RJ*o^Qf^Gw zPJH*0{|cNJ9%s2XF$2oU>1I||77!;~EG+GTQFtA;_;0Pv>v6mY%$EYii?A^p$H!v= zi8z5N?w>KJm2Cti&UAMAL+$*G{PW`nTb12vBarEzFzyEh2ODE0i}@5#2~3NR=3163 zcWBd7Q@ut-ByootDaCOJ9 z&#&~Szz>fjwbrWkxTvUFW;;rfk8+;E-f%xZ|48b*!8~4OF1|fo8_kP&j+k-boT~aj zSH69+w@kog_5E_j(a}-8?qf7;|CPjtKc}WHA`_jb9Br!o%R1g`l^EQEuAi$}JN})r zC|Ood!Ho|(=k=dGJwZT0ps~9#Sx)o0o^5hM^YJM!FLx!=)tv9P%gf@Fj#KLAMjiKG z$^IxkwRTp<5>b1VehHg}JB3IzO)D@-tzo?{(23n!cw!lCwsb@j zIAai$f{>UP)ve2@s7FY32Ib;gS9f=86;x<&djPjPSBc{{>cLPaIo^$Oq? zaJ`>^s^7kQ_qD+_-9$et8%9t@QPF@YKmp!7q@)!wQLa*A5XWu%843Q%0AWWG#i$M) z{jrxgIO*={qDPob4Ha(f9sRsig{qjV+yMIvG%!8j`*@hG8pV2kf`jMqV@bF*{%HU@(6rm&WA7dg_FqU&O-`M*dw~LPD_;gYIK!tnHnhbO_?9nH<335m_6SMr$+K z*$J#-X`z4{zX9^jXO5|nR7s10Z{ev+unwoN$jsAq*wc4L@Ykj1^ zaC5x0D~?-E3;z+f4F%8!-O)mw05X9D*sLI>y@glkHU{6}DHUk`8X5TpTsRo|5?~l< zdHDxG@s@#I-1vdp?sC4<%6B-b>*eje1C-}$OiTxmI6+Vx7;E=KMW=6Ya&j7UMKu6< z?JU%3dcJ8B2e4x1l5#^Rkmq-F$1$R!0Y@MVp!~_Me(JAIKwXYX^ z0cJi3LS?#iqLjKiF+e>1#f}I(`!8{Pjx5MWUg=BX0}7v-mR97j^B$^t#;`7oE{L;4;b7VuGDHNuj^a$4PjKdD3hz!5aX#^g8tQS7Gp8dY}JelW;_ zWILNzK26Ix@=jFrHf+u%*hYPBEkM~jqnLG3%fs1|V2i zT#Q6jd?yQG3yX_IcB`_`4J$vM6bp7GB_(~lI2b`n3~ZLu#0bO@#u@6+@R4_qFE%+y zakHTD^PXC4x@L=4cAR3b_2euC7Xr12fES9uq+>eoCtn`^)8?_^=GAcv>W32kGS> zYl9Iw0l6&H|I3&CvxvyZ4yaoB#19@&sHv)UAcYSQ?(QCb)!&r)3)M2xne_W)Nd4&O zsEsX?L>$+)?sQw56d^`!<-4P@>ydF83 ze%l#`M2k!fV1?&E^*cy-?ZZikiS>ASc`IR4;`K1^05ffm=S4&!e=}7S_XOH;B%?-^ zUSaT7>11y5Bf1h$1}Xs%6sM)7Z2%tvk!cXkR(H~&Cj0J9Mj($@NA*|j78Vvj!xrb1 zp{x-T64D|iCm?k;KA0p6pifFd$>JEbJXjmDfsUpRs_j^R|GTZ}+Uj$+t0TA5GvF2r zFnbZsm$5#Y>z}_O#U-?}RemB)%;kI|sTew?{5DwbnHwuB&v?1H+mV0&c>MQ|O>hJV zQ>z(?AmV9{b##br{mu%jv7T?i2sZ9Ilj&b)U0g=MF5A^WOi?1mCFDdvzdJ`NBQQa% zT#BNieo#KhI-wSY!6T8{(yL~P*MoUc?_VQB>e)xGc3_z?)KQPUvH3-A(`v3 z&PhiE-C}|>kg8qKWA&-2smI30RV{{dqxnD>KKc3S2HIIXm$gtGlstVyL&JYR9m-ay z;+PN1f2-&)fcFY3_f07Z9t!Fw6(wgdl0C|E|og1K(KeAa_NJHOVD>eI^U@0 zp-O)3_8nl=&;XT}#?O`UveryKh7i#i95hpS- zvN$6ngAdT9BeaB57dFB`KEOf9i@+z@!00c6+F9PXot&NUjWaC&g>vRABtC?SYFu?! z(a3IYZVnv-<2@|q#oiV{4v&nSerH3@^WY8)$Iw$%GgLX&Aw#kM-T2Gi z&}$JTojK;BW|fNJeISTM=<60tIk-RRaS%l0* zuh0dyiSWVEXuX?&G~bR_Ruito>wric3*!~7SDoga^c{MW_4E5z{QNr(=AS9hg>L-a zF6uPni_X3(S0yj`^BUudRNO$`7ZJ!`4xR}#duF5o1T1)n=QE6|UkZ+d=#NSC@_n89 z`|rf??zhT`iSch7=`e`E#Wct}S#DD5E7VaMEV1rw&reQDJ-x=NL`u!fTHn!{-9zE= z=g%JpCnsP%5pHhK*R+7uVn&F)0jQGbav0rk!5NtbG6UEQ4Kp)j5n|ru<(wd$@S%Vt znhv7kV$e*M9QCx*Izx)?!)#&Xjj+)=JZO+=Kx1I%sSh~!E|Z*yc|t3QwHDea%Wgh1 z?aRfL+^P`UnC=AyjNts~LoqmAFo6FBtcNs?N*If=aoYo})SlBmq@d8t z=e*)kBcX(Uah;F>} zazjn9PcR6Q!1Ahk8A@T6N1tt1BB!$3U;AV>0i8GsT1P7xx#G?OuJExabi zAC%vA|8#kS0GsW)`-*sfCcBC4XG(OT7mFqZbDq__R<_lFce^SxZsZ?ktNJejwtEi@ z6==9xeI8Knjq%b>?RxOt`iu2D#YT9Gi;8prt$hTb_gX}x#QDe~h-@T?qO`D38@LU< zT3G;CP&>1p_rI`LnnXPlzg-S{_TBAwD6dgp_f3`XVk%;)(^NHn-6!{Q@`~XWg0-6R z?uq8PGktXCpm8QUiU@ias+jM^qFy&f#El>{t?14wq&cV>)i{O)i zME(Q-OUu`?yVwaf4cylaaA}ZIgPEBbIy!paHY*rR;2hkLd2Wp(A&uNIc2DO~X-;TH zl}Gy~syQRY#L-Ugp+08eAL#18?IEKj8rpmdf%w@YHi7frFm2(YXwgSv%O7bNs#p&y`vfB!#>VqDL=Xgi^ai z64&~p&-jO}xgnVQzB#pDxR2~+r-rB<4JFQ0X+#*b>S`v-z^VV@fA5=X1&mE4{GodR zWFzkKsx^qD6Z96#6Yvtk;^M$>yEIdk3G`UQw*O~{X z10?raAE5pjZYH!mQ2P++i?tQ7LjOcQvp6(d3O-+%F0V2i;l~5%(CasOyjYs*zlTtq#Da8O4^ZA6V@NMaGDxqLgi*7y7Lbdu)z@bmY9oPwF|uq|z#8)z*E9p0pWfDgZ; zP?cC4@uIfI`C2j?B|19|rGU3wbOy@thlK(=n|0Kmsbyiv=a9JuAGWxH6Oo|#!djMl z%4Wvu%4*h$KpYEoaNc)(lw_1S_0aX{ifl z!zws7xF$Sof=1yS%@!!y%Ck%;pHc4$($FA#?@r~;(%rm%KY#yMp%g)2rFC9RJ1&!e zw3m8y1jeBSuYZv?4_x#v#R8QT)!tn((JZZ3Yl?As@vB>7Bv@%Mmbd*X{o*QYu6w6G z=6g9IJN`SJ=0&aZ^}^@&@!U<-w#;fef{0Bw(+~>L@|s!*4=L~jB_@)6W7JA_ah@M; zIGyunq*Xr^%p^d5%nDApMZ%O-QU16@OckU0yBHkgqZTlTemL3)$_dPIJ!|{^6(zU2 zBL7kfhq|-yM5B!>=fd({T~OyY#&t_5;H?l^(Vn0ysF6*Z2aObZOHpB_1E#u4Bn`+% zmRRBE>qghb=;<) zKs&jgy*saNuD&|g@9mj&%TLUAuD>jJSUcRK&q2MbvTZE4MENcLDZVTTuQ)H-@jY$b zN#S7)b&-j5^X>12t1uSBJb*-KK4Ua*+oBiXz0erv3JGH!P?X=(6C@ zfpXCjMB-mxF94F$A~N^`)qcn|J}}Uz5_{i{G7DC==hAj|U+KQDE2oDx50P#uWmdv8 zUa&ebDI0O$^W?1IOjGu<&w7v`JJqA$;fe9}MTf$lV)@ArKHA&{8AE#d^eHmiBpD-b zzLf+;8YJE~&`zV6bgn~#(+5O?@>*CJ2a;y@1*667iyoxKMNE3f=G2EL$h8c;OikEKvY!hpW zuX@P9cSL2}L`^1JEK=tL{Vn&k-Fu?Zsi?h&OvWVgADE|O@elHX3JaNl_3{2TVF%)< z+ZOT!CLD)^MDp!h^oP&Ywc+8)`Gmm_4RoD``}cHnc69t28Hx52`V%-pO@n)IipHZ~++EWk7WIWQ0k(S$*`8CZQ?(3G7gLggimhO+Ve{QOeW)7Q!YKGhG; zXBNP=MnNcs4)lL;;0tkb?@E>kYo(d<7w;2&}2;k9(3YCmP9- zkPDRsgOw}X3B96Zp=G4u8;9ih_sAhL$;`3am8eNicq1IYH0St1o3gB|BXXBb(o+tx zk2T}ma#Pq}->1J%%@|Ez# z3<-&8dlBWw565)S{&cL5-{Zc4X5U$JV^7)MhTzrp&wt0s6BZke0 z%I~S++7;JEBqu)wvFkPl29CgwQX^Q1`=`yM_N z0eu(P8>-9czHy;nAPqtMWG)nrQqzK?4!6zH5kOk$Ah0yI`rn*fi_J}@$4n(g$w#2q z;R;F#vLP&_qSFJ+{U)}K9X$F*i6sR(7SB6JRYwPUGqfT|$wfo!ETw9nN#0hlIapIj za5+>#+F!_0G@M5S=0*|RJs!qaU_4m~jlBxJ!X-H+^1Y2q zWwkZQ{pHJ-3cFPt=uR0>370T)G?{oRMI|Is!6-t3BK`#_!c!+Wct8mX0m&|k?`4v~ zs<HAMU97yg3kcvSIwv(&$Ju0wa!Er z$6p&p6fuJF(rA*bS$Qh`e0{Y$!f7O;S-c@>!u;OL{(4pzwKUG7M@GMkklqsrYAp~t zcY0mOQ_s8 zqcw)Z?1>T)J0%qG%MDA25Z3wj8c zg##m3n52AdukOFl`(3ou9oq^iPREU+RwIaU_&;Q986J)V5xuVQ;_7T$;B3C=U zHn=xXkooreUX`0~V$-IZR&nU(1O{zI@rK&V$Wy5fqyDk)VADVKzosiL%L6pe?%;R6 z^$&iF+V=OjUZ*W93oT<~(O`i6g?hqdHhO^j7fA7tG?P3Y1Vf1V976v7{kz`q?17h$ z5Adoj46;Gc>)}2#r462I*0fc9Sl`bR!J~QpoQjikWR~isrf7mI#~@UkaSn6;@_0^f zeeVO^VR=EOk_(!%cKVKHl|>0e!5U*ordp6-KnxCHiAlF@iEb+Q_4g9kCKROjbUwwRT0mjGUH#k4uf!IYm0XCK?N)4k0FxvFQrYeM=&iCkjA^^km~{5OBApxm_RQKyXBAqaTeH& zO~CY!KLjyY57gQk;5iZe20)GBohz15^Vtb?U6Rx$S)M*lZW*TOFGV*OpA;5lD8MC0 zKY(r`?3Ns9JQAzw%S^3kq#n<|%?LKgNX-P@C>M{tM7&4NQP& z{Apd_9DGtxFo$LzA&no6L_;|ts6qa-C zq#k_QNJcG-kFy5ab~d($8!D$q+gcXY5Ke)-nF4=ML>D#&N3GSBY5QlyPQ`EZGvFK$n<`CVBfprDp9FZM@%(ek^u7-(mv;&N3vvVvG0gMp!6 z(0yNK$-wgT~7Yi^OHSmJ3F?~!w$Lv`Bg5lG#o(T z^z`(!HQ+aQz(3{)8=JmGfz+ymog) zs+}FfD>a;QnQWT8{$(7m(@bTJt|ipXH<}+rM5nrj2OADwmFYn*OuMO2_e-zU zis|67kL>*-e*0Sfo>y5uTv1LTKp|<#aFL0s@!AmhvheBrzKv;QCQ7&zjtt)x#g z9a61#eF3wZDW8pT);FylNywy)f)pJKY7Ys)L~9rvEKy(YhgG}+U>KZ+ALbL0nVHWh zMBf7xp>nabP_!PmzXM_4Mem22vk(jcJ^+67SgkWBC~6p%wFi;!S_wHVh#|FAb8$G4 znwr`N`~ke+@7sEDAtBm*vU^LhmQO`-EbC6FL`6j_Dl3tp6aM4b8@gJ;DGKt6&1K@_ z?1>UZk-sZxSlj*3el*;Ci)~7!F85N8Bkq_#Wm=9Y%t9-G@G`sowdy z;$F@8rULx~VYewI6&;l)FI-oxMOxcvd*07|_7fJc*gmcuQoZ?tmp2w-y#Cj2pvjL~ z?txwU6jEn^sFCJZO0ZTex>+bFe=Gp@M$5E_gyiEfY+Y>^73+Hs`^`wQo$}5 z>#-{eGco-PoS;D(Lg_`uM?mw3&Da}GBZth(oy=Ta8rq@szBnS@+1Y`!042broc1eR zJwS^iVjEFWR%U|J0dUsfrH;-Mhz`)JR}@aOg$>;Vbo)+O(HA(trbb{+xuTDEqmbK8 z8ZkK!nduf~b5RqcS(yj2rD%nUnconMaSAF4s|ZO*NTjs_=Enx+hgObEWm7d3^uZaP{r0!86@l2nmJ*)1j!Qz~GO>VE z%HYwFSP`(aY})d@+qZRwb5+2d@BnnwS8A%{f(UDCd;9+Vdt}&n1tJANbMs1D&{O0b z;he~PAg2Rlhbpc9T!#P*EJS=~=d&1JX(r~W!i^YW$`2*J?&z01R}W)xIao_tCBpV; zu)IEh|NaB1d%CXz+>gW%|BQyYSYA?Jv^7^{!muo(z=6-PK~g`G*&5f*C#NIc{Y8f^ zVC{~Pu8!{Sz3Y%q2m?Mo&2?2PtqD)NL`Qr*x1%g@%?HK zgf6AaR9sP57y|tM@1$+-YB|(l42Xhe*Ab(@>5*fAGcq|tNRo_9qpYrq!YDm?@Ju!#$=yf5L)q831!E^C+d4bNwK{k~@dalX&C{z2QE*8t)skt?n+Ek5yk>TNdZBxC z@4gi>?5K)nqd{rOtu{mu=Mq=Q+If?&ib${!zQ!W-*c6?hp{HwZoz4(el@&n^oP~$S zj==gAt8YnI+EKwwA<9z4mg@gTNJx12YGk~zN>x8S`xMNH6Ud6FRNFIvwOp}ziFCvv z;W`HynY_QQP+%_J4=C*XmXqFrB+Say1?aT4aCXQB*5*pNqqDQpi388Y+0im^d14+r zU+6Tf(9S`9If26x$eEpTk! zZvT_opgH~lnkG^nRC-wRpJuBE9V2-z1?g#xtcb}rUH2J!D{ex4B;_#XXw7}a0;ufw z+MDi8wjv85x%G61aYq|ze`jS!S4vQS*^2U2xl?&S;cA=@7U%)*s2Qx-oc$=s7uv!j zAR%a2b02u(o}t0O0-&!7Q@+KswzsFEpzs0=rww=r^jwIs8BSJMpF`OzXAm9oQp{8R z8Wr`{#3Z|p-4ufSrMr{RX*i`;ZXk7eF!i~t=TLE}31e*6$^i;QgyBBdM_jT2T3HptIN_6OlJ^XeMWJ!$>Vd;Ml%bjGfEkuMAE#{98=}D z#l0y*DXiT(&uE6i6-^uZkT^~ovN(4iF}aJ7I;Kua977|7gH9M^XAQT=`tmiZF?^&R zK6nt$8wm%90BPAZDD}gRJ%)%t1=!vw=1+&xC5ey-9eJK@edm9OZl&!qk}n~Nt~=p2 zz7Bvk(4~|rE&ydbVPxD6x`AUNoRuC9yy(+7-0=S4YG9r>L)Oi#xHc|9U$wSPG79v2 zqr=U44|4o(+uco#5YHiWPWUQFu44b5V1m({x}4&nNKO^&*VRD3018p|$WatzY~=XZ z;eW!X2scRHL1o3`F9VA~B7rX&B;)XEOAy`ZHL8AVPrwX9Cel-MjsptvBar?$|1oD2 zh~zj;Tyn4rg2QbxM2o~`y--0DgJT+CL^#a(QG?DV?TzHp8j)2+BAiAA z7|*rpx<1{w6_C&@ok^k}!%{|J#OoAWvNR2<`>>el^F@t0v*9s9jZ+Z0iy3aKJsS+~ zpRDBWjx#+JC)IZ7v#R4c$2*ff{Q55HQ%<01pg_iBcY6YVK=R1Q8(?Fw@Q@L$oSkL% zs>K%Y+GmGhKOyxLU^3tXDoQp#n@j?%0}Z)Rbn&&4^!ze26W;&G^7#l0e6JQG(9;Bj zCCkTGj=7Jq=kPs*hgU|5aJ~2LO6eS`hCkK;}t?I#`Ut($YGD4!F?If*~=$r#C z>2`@lYuU0YCSXS*_9;A0R`7F(XE{;C(;R_z{<-{PR{tYD^Y|GozwpW?Y%kR?&5)kU z2b*{EUfsyyc$H5Rh)&wD)mg1VR2@kzl#qG&+5{gTAJAiHLP8KkGBLcLT}MYqrSylu zf9K_yd*f0OricaOv)&((CREWalrhj??z4O>CfW|#F}MJ;+eVYut-(1n|1#qhAmOWq z&VR^XdU@`7acggS>&Um;uQmnSKa}Fn;^G@v@PJ#Wf@F=lz$*ptgW&VrAxRU4^UaGf zlthEg4j-m=0_IckQ{S8Fh+8Jcs9}#P_YC*g?QOIqbUOP61TXAh2FLPJ2xj5|)@BF{ zt%~-HxS`{!^SVW(7&cVgJ{f<4p zKxI$D__@wOWW9#w0S2>Ujtn)yMV2dQQlrKCceLCt*g?BTCgLHo`w-+%zy>}szV9;8 zR3g{)M8yn4t{ziRNU3u-EY@@`VTxdx#N`jAmpB{pZSZyBiwMlPj;f7^sfKj?`O#$H z{|d__w7(s^SW{&{SU`6fVV?HaM}j$LK8AsP{})d9jl2#JVvp8a}I?Z3?Axbh%au;#nX-W+4++TMqlwpkroy_R>!us1KAuQL> z(BNL?7HE;w1ymoI8XXj-mRHk@D;r8Lkk&GzH|rvn{AHnTDuzW^4C3W~?oJ;y{u0~M zx7EYHTaE+6v&FmNqoNYvf^bB;sHg}9&Va-~8i}N@Y=sLTHXB!x)0z_uLgAG*N>D1v zliJ5qUH#}n-Te`%RgU&Kxa&ON=}1AVUU;xvc(!X{>qCxCWe9x+2$=Q$$~zPYQTD)T zNH|xyl=e*%iA2~P-92`C^yA6@m|R!HpgTP~n|gKi_pcQ)HQC^K%Xqqm8_*clJ*iAmjT}j` zME+5g@o4TCHGg#9S>+aHfEx~l2cF28laS)f2=LYutf)VMT}SRA{C96PaV(}H!eijN z8H0H@N$BIK0D$s-exFT4QBhH?095!kr(^ctyH?OiNkgJ><#{9PRvT>xi!Ganwo?_} zPiLp2=CSdynuf{mo~E}xZn^+!qu^m4hk%ZUC`h27+2KH{7DR~l4jcjD50Vo0cbU1F zm7me0@7-ZVaFs8v&x*%VnagyVlu=o*Be*=YWsB)YDnrAAC`1F$hwbU>29a7>J~K}x zx792Pz*<89bsGF0^5?Wm~+-duy;t)U;!P z#@EyoH%oSFEf!Il+j1BIRn$C;|ELQ?FWu*3>A8^w^61>~rjCo64Nf!4t|v`$Ya zK;MsH;edx%jNM9@T9=7)kDj-wZ=chnAH>7n2UsZ$A}tqWbEu`_v_b5G zrS$u?nFn_0ZYbA>#RnLo4Ug-qMyz-2RjYn9&om_BNZ#gszR3i$ZzXb9OjhtiIYk;P zi}FN~GExAGJcF(MAObI%n@}*5 zU&GPReFi0$A-9{jd$Urxx^E(b^RcR>*XN{hk}uv>+@1h!@IHP

W8v8$1~qgdtFN`=jrj8KzKVXS23 zXE(Oq=f148i)!{A%YE*^bQ3|LK z76xAU%4B1*G7N-y&}uRW(M6bq4c?_+u4O-=6|DJTt_&j-e?PIl zGLGTJ(o_pWz)_ccN7V0j-qrN)-IEuKsCO9dGYCHar4qFi_TfroJJ<1BnGJcXLj}_4B=f1q0Kg$9vv{NUN%WsI5`~tY#8`N_XZB9xHdx# zZe+mA@gEBpA+at!6znEU31AvF>omEe8WfOxf#Pt z99AN)$^v#!j;?+m_wx<1Yt)s(6%m>wLyy;;agPuS2% zen$mi9S<=RrwmnHvmq09_y&VHkTg*sa2Uj_+v4kJVbVSnnsff`oD2o~@*Zd9>i>}d z@}WRqd=QC;<3dB|{^!$yA$Uyvl$_4bx1Xdi-2i-Q3vW;`*r#lP%4sy1ehk#T4=O)WOn^+>*N_nS(g`dO zDnBA=#A{AI9?<<8q?0p=*ztfGr9Z}6OC=JQy|?+17&~`UxdzfF(d5{u^Dv-D`32}K zVL*V%_zxPSumNT}tFe`kBdD<(V$(N`40p{}PEYompya33h{tvF0IEW5cZ2myS)iTO%s&gk?VP5~86v|uJnN*Gau*sq}+rB3tS&d#Qe?8{ttH7#@LajBxJ zM*_D5phiRCWbXk5n4jOpeO+7?;8ToWZwd7EN%VjM`$1}0IY;VuzD zneZ5mQ+{9kCgVer1#(9i7TY^|d}gxN(nq^>w?$T`-FxFsTqh3%(omDc0!T5oHa5Bh zuFjj_a2lY}yC}fJlEBQQx-Z4FuQlKXYiQ1VSrQp2A(6_19{>HD5+gVT5V1_Ghu*lxEebB!R;rhLrhTFY7-6nlLQs2@Q#LuTQCmZAe%ICi9{C z^o^f|-#;f#LVPSZK8>XPq#ev**WzeDsPp4y zZKn01JF>|FK_!0s0>#M3ofH2>jZXdgaY{9pMrK}B8I7j55Oo>YfWY7yo%F|lnl!07DITEGy}c(?e^YK7wjk416dFescXeB);O z;e$S8m62Zo#7Q3=*pUNJ*fim@9_QASU?}_Kt=06g82L z8!peD(e(vSKk%x`>ok;v3AIf5Me%2`{<#Cu}f;e1fsfV45h=NRcYv zJ53zpXy|uiKCy!#4Z20A4K6(Yh$hdfE;yxttU?Z5A}D`gFlqL}Btm2dVf3sGu_2** z1(u5f5Ep>fFAYrR+tcNLBQGEsbGTjHzqGRADVF*hhCVrJBQ)()SXK7j3sELXrf%Ln9*<7q1aChj;IA@bTM0_~-<^NCmXR zH*YX4@=ybF2CSp1x9Ep-D`+1PZ~7sC z(#Y2rIjbWqT|Mhdq*r2T4B4eykntLO;iDi$tT(LqL|pk=Bpx`LC?MkN{fj} zYI2IIOU5D!?OX7%7;E-Wq8LrakAFd?0P>{m^YaOe^_PfbgZvo>0RaJ+3VC=i*8IR$ z@sxrhwW(db#u349dRVI33nz=?R&Mz}cz_%Mvq1YL9soK&An{cXDIY~nA)63=6+X0& zA`Lju1vqSU*;R+yhiFAxtQvmz+Wb7`1hd=%d1a;!w;ynBGe;}450=yTj}bw4?YtBY z_0PMT8xU1n+S_daoOOA1Wo4H;`QSET;9cOufO6(8n@JA%2KY%LlJii7f|?GzEEl6CBE%KRKhT^r7aqf4QTl zvCV~;I){?~f)N=~*5H3!kD$^6+M~1-xO5CazSV#`CL$`Dl#83>(LHMuA*G$=xyMLA>? z6k@U~m|&I_%Y4qj9t5uC9+IG^>oBiCghIfn7BLMVmIeekYGoNboToxHepOp-q2bEnnLsDm^SvRAp|kKwO+Q+jKief4i&vF>S=Kl3YPU3em4@N^6H=fiQ<%;W6M5bU`LS zxX54*eh9)=SVBU-ZZPlN20(p5venD=2F$q8Jv|=~Bs};G?GSMR&0Eq#wct>Fj1yYN zMA@wMzr*uTzB>JXJ5_;O$wU;R{pDoPEy77|J`@-|g;R}Ons(4g;w~MNHM0f-;5(wB zN7?T4KNsM!JUBRT+{{c5a6W(}Lr8plAA(T^ff`T?b>Qqfmuy4CzD<3_V*VN8aoU!**BfGm^4JQf*r{A^;PeH-)6$?6<^%7FARRKvKHMf)Adxwf?xzsbIH{Dp9?uQ?i3N+H-FJH_*bSs1!94;xYq^{0hh=C*DM?*uLSjx&ikFzA` zUvhgv-3e_e_~BvR;G7KC?u_Y-2;&EY*Z%1A@e0pkpPA2SWD3}naY!yKbP=e9Kq;5N&tm&_PBHw@#`5uPNM=yshXjK5>pvs+5iOwGyBt}%pP(WXP)oYJ z@e3W<@pS&aWWFr<9|P#SdG^LjxZ7aRsJR%>P(+82^uunCD*KkEWJ#UI|EIT0>w%N} zcs6N75X`-c+8b}-HAEbzax~%RPH8P-P=g{|G}o6-fN)SVN5niquyz-9Hx5{`UgAiw zBSr6YhZ_p2;o66r5B#7=*j_TlN+E@zjR0>t5n}rAgQ`$I#C$~FR;T3WYxP&$&{%-t z3MMdR^9yLV3W|%FMWq8}hMG)k&bY#O znUNX_@hvJ@{6dP4{&02@a>5V@;dg)-J7|?puFBxm+XMFjvq8_3u)E_w*EcV!2psM# zZ_HK0)AV}YOWF)k&!~j^!bc_5z+|m#zb6A42(V?TFGJ{6ubsly(KXCz5qoF-e{-~1i=G*b>Y8QK3dAD$$g#^Bg`JH zOvK(@Y#En26pHM6OWDQ>69y27h!Hn=Qap&Go8m21WX4IGh%R)xgdPzxl$&`;YI>E3 zDDbJ1)c`~XS5EH*61!vzf=MMQ|jxZhc879qYiYWUjV zs!xC%EVIL|x<^C>up9d!)^0MiKzK{zp(8XR2q!vc^m+eOlPaHJVcz=>I9b1yHFC&S zUVy-r;2n1lnh@mQ$3m~j;17ce=Nl-fh=f(Lyk>pT28i+iQGIP>8Tie7;s9Q6gP@ef zfrvC{Q{EeiWfWKtkW7oHa@gb1X$OCWmoa==dM434e@Ey2$5FSGCkbMS#0m72R`asts zl~MGLPiT1N``gCj(YVEr(G?0|!UL`Ge&J~n4CHORho1&u5TY82%l+n|8!0pHm98=9 zB?NgD-o|Ap6IWrr0)AF6pZkRix(XW9HNUlPiH4_qVC-SXK=-_ZZ^M8aMq+bu?|$G^ zTSeg4GIGf9{z^7_(sbGMKPz1FhA{LB10C|&1v7xDeE#AEkm8aP6TdV z$QF7-JxsHhvexm&@tH*y4v5no9c8x3k zU2q3pLdp^G3w)*n;jdZILae69W_*warxfID|K@^Gv%Khkg9zeVhO;T9mCZ)dwhzzE ze5T+2`p=OU=sVcWs9t63>rLwH12&b#?QM*=_V#QDuO5iLt>a210yC2KGHjp;BR{Xq z6orBO@9=OKoR|oG+GHW5Rhj=)e)!fU7_H}Xg)Vr%eUk4)^z$5n~wY)k_Ev;m2o>{8Q zbH&iC;Do_Q27062nOO8m{0ZXvU)5?e8XI-T`^Ttu!JulIAi5%!;JR!j=!!cND-gFUGUOgKCAj2$~!lrRi$p7`9@C))&`6 zcPq$VOe9p1WoUIue7On``%g>#+3BD7SZiK3OJ!z$zEp-w0E0LpH`%nKudfe`$z{o9 zqXD*73lvCU)@b&oKl^XSJSbJzr^Gn|{^w{jifZGn9}ZLV#Dk&mUDnm84CD?*nepmz zD*4&83JG{6pXEI}Ht^azcO~6CpWPOp6n5r!uDodFr22`_a6zd>u%M+B6(e1zp;JT< zaDaSq^9jD-P=w&|(r9gXfPPb1>(XVLiAXAK&+kAe*6rjj(@OQLNA^$`~iFo~{<@8I$q%K1L&*Q_k z`F2z};^gF|=SU=v@i+20+P2(O6N{vm^mL6@sj{1}_^MaQSG5){1aF4=O;WDoW1D0( zZ?=>xg+&^ABHA|yX5?7{*`I>p3NEtSi3!?ydDX6@q`Bj3AGzCK1*MU#oHAz{88Hjg zYrv<>gsuUB?}o!=A3}f#@^82p1;ULBp3E%Ye}n<&%Auk9zu4hX(Aaprs>bj(l0Woq z zRpHP$+&A1aI1^9T-E(ci=n$2s>$TEf2i1Lg2R%L3l)245MU(ukSuO`opk)3UJ@{l(m?><)sl_(R%h}&04d% zAlx9*D{NjA_n(N;M7pzAVDzqOAwic_c90=?>M!@)XeND!BA=F~U6gOTxM-7+p-h-j zMQF5N0#wJ?0u#h*#l*3_RRa_=sH^@MC`;i6P$hJge2iNXiL0W^ z8J0hCYB^SjE!JH%=d3GiZ$vAW+qbZ5M_AqTaf$em@ppI%V_;2=!F(I3AAi2_R3?4+ zsPvi$!uLM*q)XzZ-zsd6aod@Ll7Bq1bKtrgcvq*aq0VCA@?|uVh%~vH&U*s1jq^46 z$RrP@c#5w6#!ZL&akn*IeifWG3prmCz_QqNe&~=NmP2~+>?_B;J7LUKg8N`^o2YhR zgfRdUI8HV;IuTYQfJ{R2B+vKB7Vm6N#RKFAROHF?2hmY(cdpft(5o5`LM$(_rK5f% z8aJNm3(AOj`C=NXSs?kvVBRtL)KPnTdaWrcPP^5R=~-`?7PFdgLdj)zk`Jm6L7r=;|0nh^kUJx=Z~x&)J1Fm&Ka0@LGx8 z9?H~HUHS+@ayH8=o)Klvx8}H}S4eLx?zw$%uZWx4P7gv%_-H*JTUA&-8~SJe$;7YST>LD?(@eUm1|g>!6^xToDyjP>o9a@hS~7zQ%8Mv_ z7%{#c7j7ZLJCz1Dk7U_Q(99Qm+2{WtEZFq)m|u^##^nIcc7U{14Y!58{5tLrKW0u+)`6hUffdo@VsiDkk0 zr!NC%FgPd4r+cvM5yWJ_U&NdV2qu3!4A~p5EqE%g=1x&p<+hUdbFjs@ z#xcj6y-`tR>M$1tmq}g1%U*YJUt;eMmYGx65Z+LKLzU7(@z@l4;7C~MITI~2lL)t} z70hi|itbjpV$oP|pvF{A`r1fm;3Z%DN2vl$0cI9tfF$h$Zr0c8YHpZ-B1qiJh*+X8 z#}>VYs4;kI!qJ%RDrz$sF*k8{?8Uj)Ey--ZVAOCI9}G~Wxw*ySmU@lFV}0f>q>c15 z`;ow}_>o%b%JFNB4(kaGg+JMjpMN05MCG?uOeKXr*H;U6>o+tlJ71gm8aGCN*yFPG zeeEbu8ns-%q+%h%D7}mq34I4O`+UN`_>KyZD|g?jwEfxFN*(k=FE?(fjusYqS_(sI zmvoNTve5pu6wdof%Rl%N<+qu1^UT5%SESdkZyTA{{yZQ481&L0SzZJx36kIwjIXil zSqa{n&t9FQ`~1WdcJsWN7ii<$@of9{x3M1IHU`D4?W<>m%A8kS9k@kopO!w20RQ0n z=H#)L%_~(mtg&FLQ~?b=TWdt)j)?7m_uk8+`4~$R0m*E1zw;6^ua0&!ya?I|Btev( zR|!J=X(#?i3)W_xqV3G@Vg_t0$mFqrLXnWe*Susl#W?-UjQ8JXb;@mdysz{eXGrO2XZL^uwQ9Z&TPOE+Fib8ok@{+65yR@@!V{~BwGmg|<5?gTCfc2Om zJXzcvk&Vg7xo?7Q@^+f#&00KG&B@wpG_jHGz+N4J{HkeA)mMF9%4XKOk&hdg`%E52 zzo>sJ8gC!dB@^?M z#gF*@)Et!08m19%aKO$_%;y>l-8{J7Ie;n%1~Cv(27xXH!9Zgg#juY5 z(-=z(i6)byN|3u&eLE;EWhx6+zR@dFWw9R2aTH$S5F)~xJ!BjS zV0;BgP3(`>S^w*1e*MPA^5+Fb86I&BcamfKx%zpt|2E2g6g{diB+fNHnYmYznvO10 z;PAS|w61QpG?i`Rz7vl82~rNP{jaDS4gr}=uhrd?&)iA0-||>3N&jei3DTC}^C;y@ z>_4SWTzR#A!f_jWNb~0i%Is-!SeI|^sYR=-5l6t)b?Z$bAA|p-L#eJneuJv7XvTEF z*%jOQ_!wmSAk_Krk)Gpw7hvGP2q1u0-6M@C1mrd8UP`t*zbub#O0-l7*77XsGb2`o ze1F~fpknp4I8&*xNP4gH%d?r$Os^ZS_??dv-ZlxBc5i9f>po{N2aU0^Xay$YWBkOr(j1F- zyQue^FtfCeJ6Xj|k+A0C#V9LJSU-@o{jWt2fpBr_yxHI;*upShZoICb`z@IcuE|%? zgY^{v(|!s~78e3Q9ZH@wXbA9dd_)!qECL`nZ&8#AX&h2ezfdzWFIii99Dlv>ROL=; z1$TxrQxa|5Wvt1|K0oD*5|XFWfu6DCW;*u&C_DT{HC0Gek@IpB4_^%I^A|XQ7`FC#|R% zzJfL*B0PK#MoC4V&#WQR5B5z2=OCD@AAzf(**c*sEmeq|0-H}K5#_SsiU>TtbdO)w z;ARWa_6A;CXrWl-a`FEXdf77WOA&0}I@~#ByRQ(Hw|uymu<(b5s+vtIs7b(Obo%Up zAt`bf_f6<<2Vv9AeahNbah@LdL-XbJjaM;}X?rcf_x4S6nopGOjm1zfe?O4a;B2jM zYfqBRnqV_0vX6X8cWTHob!K?-B{|Mfsy(-~EML5X`xYACQYL|wtk}q08>13ZStM);b~f`g`WDUnA&@`pG9KUD->^-(||7!l3ee8H2^P%-S@pz({X|uZH|;W#62|*OWEt= z;nuR(wV0Gu_yut&SMCcUwTI=hY1GW?`1&UL{0RmUlg?~$9dem4qyd@0KrYrkO)D%s zWvJiy(}OqXTgO9TrD0{k%6C%JV{&|{a=-~xy>ObYe!?K6HNQKyI+c-r&z!qSDmUaz zZ+TKIO)aB&TRrKo|G)ORTh!2!=cQ=q;p;D( z?&Q?xt7$(Z&Y|zc=84&o` z2oRbap8C*?e;H_@L=JQ6cf21KcXrU?$u*1%R&89}`-j=k*3?#U58uFqPwOJ`t$mGs zOv+cq7bRCl?&nI>A$i9ec*gDmsPx{37AjVj+62Vs{MBhQk*Ckjb3x`~$9k8w;KJ#LMnk3hRyX8q}SQ18FbZwAxrZ{EJ0MIYoZk3E^P_mF(1 z@3={fN`}-~rLh$jmJE;8rJH+FmYZzN2$8cD(G`DIq6>@Mp)Ah`V7TtPJXD`QkC~Y1 z8ALy?yWLOnwUek6H83@fZP3?QxLUHG5!;xOUM@<}`N=HHC5-dIs^D=^6KiVtciD%o zIg;6k_00G?VPXjDIeOsYx905Yh7#tfRJ7I7!Mw^yl6(!~veU!8%Lk5opLYI)EBr&2 zs*r8q^|yau$AuZ;>CQ;H-9jstjn`SJg^ID)hJkz?D=(ga(Qe5L5jHtS5d_`VQgz*geULQF@pzHH-f^8o4`8zT5( zb;>p7cjqLz*(JR11&~tP9@?UdQ`)BLn!&3(OqZLq%(1g`ATx0jXP;YDA~$uM^LuVE z-eETFtMIfMsWBKv5Tvoj5s#EV=?g{Gs;WZx|)Ivvl`J)rP?7pmR1H}+u%U)_NlD<-syfBJ7)cke+xUSE5;Xl7&lL%G0A`D-qSLD(;sw5@F*gyu*~!;s?M!cHS>>& zHw|6g&7Lak;qfK-x6X&;g40W0oMu_=j!eSy@24dEKi|E8X*pSX259(uwc0`1v??T!HNueiSmBRRC<8j4BFd#UKAk z4~gY?1bq)7ri4XB0UA2FF*uD}RL{U*ZfS5;DeQ2j1HbH*PP@OlY{zH96Ke2l8vo5` zRE#Ey6R+)BracM!sp3=H<<3a9*^)Rmy7gyVJEMC+Am!xV_RQS@b+yX5CL!*wtiuxXf4Zi!A^`JT=thv=5tFMB5bBm?jwKe=qzX7XoJ zVR4i>>ubqOFR>XWz911pFPSz~FG*d1H$8hwY0YWt+!np`edIIyYPL?!V!S^l6k6Qu z>r67-R7+{cIj(#c+<$kRf|1&hcuaXQ^3LmLtwK)6oyiQ;BTOeaGTODiA?YHGGMfzw8lQTRtF zQsqK}F->h%m!dhy+g>-uI!6dm9G=;oFgej5Jl$zPKzJiCA9mv!f2J0iM`jZe(jwwWvHp!wIMD_OImj++TxzuX#j5 zu5=5Jw?Kh=JX|PO!&-ZueTqyI8qX=LCX(IyWYNvdS@=m%uoGZus`b-IaT68W^JXuO zj};T%N4qomeiGyI%TxWL6O=z6^IxT54>Gh7M}_o%l}av@79svji$WPgs2VSjQHDip zelzR%d1-%o*M^pr%U26P8wjUr?FUn1`5pt;5j_+do-VOMjR`^S(6{Zy9&AY)mi3~l zMz(Mrcb@ovE?LAV!r=9YDOg{Wj-DWREtXwa;NbnH-^9CAlMBh)?fXO8!al#``uB2d zQ`7ryK_@-s1=^~L3_E2t*u8fj4z_t{oxChqu_ZjvDEe2J)vZ(3bUr>gpkBQ#QsKrC z`Ch5iZR={DFfv{>cnE6+Yu%kIiWNt}RNl!xJ>J zYgtiWRxaPtVi>FFK{Gt zU+VnjVUul9R3kbF7aI!?A7VIr)nb~aRQzp1nMSmadTC^3#*29=Cn-dK;*uei;FE6= zBMPdQMjevcl%`f!bK840+>LX`$|4av)(kiuLWd5{ovk-Mm6H4jz9!St)H9r6#5whE z-2G+vr2K^cs=mGaEDjDw(>HN6p)p*B@_SU5+gFZyS1(p}5d^^!Gv_VIl{Db+Ao$?_ z*&rFm^&W^I1tlz|q{Pey0iEvI*k0FmxmtnrU)h{GqsZIN)MLmQ9kAQKL`Gja4d>zQ zj|AW24F3@*`|P!ets3bL!Bf@80s8vF*2UKqyINmU(|**Lm?Y(m7gm!X;w*UY_0p*{yWAOx%I zYZ3p=8=E z*vLN3P;~r(Fx5D)!YA7UOUuMg5N7c|^axZ!OK$S?!JY*~h&$R4Fk0CSBS$T*`Wz-N zc=B-`+sURKV}yP6QB|0%*XhL^EX%&H(o5JcHV@uV=H@tdD{v1^|F}e!3NUPqoWekYk7OwBE_+H<&b0FS;nwUSa&)sLYm5)uyLMCQVRaTp2UBcP5RMsEL?_7DPR=yCm z+?K`4tbA{9U%n#MB$v%?dfKX0z@?XsF8^&cj^0~~u$OGV&M0`!XEhPsU+8U%0K?|= zQ*WP^RY{EjNmrVUzW1|kr*8L(>@_mK<(4KtX7@+E+Kg=)LOC&rzrD~sfL7GI4w;=I*MQo8l{G3x>2nTe8rRk@6V?533Dqp1stJ>dxbUyQ%|4v+f1spu4j z>r;u`_=df;*)O=?*e9nke3VzbTTh-Y?|91CNgdGD*U+o@J2{^jDMreF(r+vDPqt|6 z%sEziPL8rke%yjYsD4feN98d|X#UGz+m(H(nk#vp+>=BxzHq7irL@;Iz7b*ymY49G z{16r{$3ibRoR)GsLg-fL_b^on_?@XgkMCO~$4x!ow51WkI(lq85#-@d72c3u@_}zj z9wkSw)L#G0#I1P>yavgN*-l{O20K(E1h;_Kgt7-q754$A^oyr~O9BCKW08p(EcqZY z9f~{G)sbQ*iYn1P0>8&^9%^6DEv@`}wep6$XH8~`)B5Ep>e7X;MysWWT!D1sL$$?t z3(WGZI*z|*cxgf&o_>35OId{sgjLp0uvJ%H^|go9m~<0%G>pRG*(W2-(g|u{qJ;D134Ys`j_cUELz;B1MqzEj22x#FVsR;qKm+_ zQbO|)?Ps@HaF3@e-XFO^o~lH(i_`8W*qj&l7!mz~Jgwr#R zCS1Gan4h@}Rf=q%hnKR-n6vWktaueIUFc(-V+D=6_#F(>f4;J$V$i9&GhAUGa-Y!l z@A}>)iX!(!@nm1*FQuXa_}z8w+~1!pU|_vQN%rmLuAQm%qkX}x?a-2QLJoudt_({^ug=hJGMdVD%zMe9(&3pP8ZI>=hKXTOiA=xQaR!`CTrrsTP2gf7} zy5#-=aCX9uR!#G2q2#2Jl7rExJIj|gJKvPMarMEN{o8T_P@0C^V16_RyR8i0 zS3<(_;LcwFap|w?zEjU$wGf%Yl6-TnVVC`#%%`86_NGtl+TF<1XE-R7Fk0*D$Ugth z_67ST@BXgd9(xX^P(tee$7C}D=>S#(!oZ#x%ukMs<1fO)jqbyAORN8=E#LR&gQ_yf z7a=#i`t%44Zuyi_&mU1c^hWce+q3+fY9UhMezVZ!b|7O<$KX4=V_sT2}wWl@G& zKdIKn_r@)e3x`%DPG6KwLMDD9Kx)svO+8>E+BU@ylY^nwdHF~m?IUmi+BNU&QNf7}3rudr$1jfRmilx$*METyC|mb2hXYA6kr zzqt5N*CTDGknQ;YV?*lrG0j(i3zk9hSFdm&PXs2DM(F>tjw&Gj{#Z2h3AepzX+kx_ z1X)z42D*dQ%N3fu6B^eqzbPFY@RVLaVq94*ddl>Z_@FNz<}T5UD*L#XAufA$z#+MQ z?4N>CR$Sa>lx+5GwGZXe_e61@M>Z~+5u2$3KILOm1k=7xsM zubLl#gCFp~0kxM{VE%;imFos6w5f(`I~|*A=L4I52t zdLE7|h26bdW-t7#aihDETpvIBwb-|1x1u@8>7pUPoRiwO1#63UQZIe8urEHD(1-J$ zY<~J%xo~-_fGsgwb&y8dl7^}fGNFBo`G|!Q75Uw*PqcXW1gp4lPb2`NVn9JrVmL)O zqYC~--sJu{I12&5E{^c8AspjH#l^_VmDUvC*?h(I71CC(Vfots)`oR2wfYy9maaf} zIREH1Y=wY>^(O!c%IESVHPgoS=IYZOukx3}v-E}R_m+awofmgZqu*bB=LR7j1A8oz zV{CdFr_C68DEhZ?|rfd(hHq`ml+ArtK zlo#_;I4kc5&ouMV6fWDA)U}>vLLLi+0WDhsX5qN7=xC}UQHGE;v)L32V#^0)#R|*n z>dc3H9=rgEY_&`~4K?-RLZb(;54EsGlAiML#6mDz>AV8mGRwQWnyIL_{Qdm_$HH3i zOU+z{Iyj%B!GT*B*^#=20=>~dCDqO72ygU zlOx%yeg%VFkb!eJaBC?2lQzq15Yz!F_g*0HI{}ZY+w63I{~1N<(y)!eq` z<^t-;=H}!f-5r>hfb%m5eD{hQoNq4o1OX#+#14SXWF3~$iGa_$nic+LYeR))^3dlo z)ZoksV7$)t0HmlyBIwa*chvIZy=h;cU)Y+=Z2MLUXj=WM6fm6$y2;cM&#Jd@BhDqx zJ}Q8V*wJSLZ?k|+BMnztRqQp>ApY2T`LwFaKzU`EO+A&wXdNP87dBc#$M9?-nYrTj zPi}HVeu5?Q(T8 zYgh4vYRYi^U_Bv>I>GCTADBZX^ejA$oK0o?uK%7-_=N z?CNtL0yO zewrs;4{7La*Eoj&h3CqCwxbnl6Szv)#7zTb6lL&S7)+{zFnSrk+dIT?{yqRBDq^`L zxc?#5mR?Zs18~oXP3|5Zw}3MJO{N_Hf6pNn(i@Y{=$Qw)S&b7jFt=#R-M~bSP)US? zhzI9^0?-VGPQ+%=NpVS7Sdun<5dy-dN`0<;?qaV(yVF)e7)aO-4kwG_l+H`LhF|<& zpxV9vA%|lYt0w(Y^c~(yfvMx;VX!m8gj^cRd6RL(b&+mXii+*?Hg$v{UwV-9zSl5) z1!u-T2{?%JS+;n7;Zab8ix#YGALGeOQJQf5<9OCxa2!z4kwFjZ9WwMW&HTjg@9m&s zc?CX*hyxiMc&C6)0-PJ1xy?~puAKnZY6m~gM41_py?vXMJu4gr@UV4(ABh7Dp0E^@ z1p*I<)dEN#e!k-8L+b{>In=#GGq5t%%F;3sU~tMRzbqo={$~qx)m#mv3L+Er@WYzO2Q7)wsCOEz2_1)h}_^8ZB3i7 zhR{Z)f@xLc%z9*Z#yause_z~wyHPC&*d{T9o~r;vMkHzhjR+sEb{Prwt_j1M1Yp3h0YVjMqQ00!Z0p)-YI*OR_{o&DnN8kKa&G7Q{ahcQ{D^rhzsciF z%9|G528VOA?PlcvN{3gt{hyH{lgU@Ix0-zPNJoo1RU2xPfl%31? zzTkG;-?##e41mhVg9UiHXH2X2PFA&+#1el zVVr2q!E)XvTtj9dH?8+;i!s@f1^+?@RD*}ta~eV6hI8)_daXkJZm?_r{ft`-tImS} z(FN#`N$_3qIv)+p`ClmE9 zRX}Gl#k}OeHsiSB_Auex2lk|dk4DBY9;bVRyEc5_Qy;1|*?dQin)c;Q58-dK(lCu6 zG*Y{68=Qq@7j8J22~k`eys}G@#m5us-(;r!_ehS!v>Jc8+s#Z&p)l!0g;)}le|!)Q z0l@jXFTViq3F)inkcP}vD<7(HvO(Td zKR7aFLo7ELE7)FSh2>JrqLi*sy*AFmiw)NEe^2lp?G7^5H884HBi9lI+;cy*N?&>D z7-nA}bIAV`6T3dH9I%bMU{8>ISp0ZA@yOj4D~EFKyMQBr_Xnid8;;!O=4ql z5}aJorXpM^^-|$!#!&aExR@<8bu7rlN_E$-aAt%&Sku0>G-<`7;V1TkV#0Pw`07Nn zH(EzGlboX5C#-Wd!Lu%D>QOx^!LJ{`b!uWfJxcA3BdY$X8G-|Qd07zR@Q7Wwz+BV= zXaYWOL zyyNsK{1{PlnM@TOlSh7s71pjVTue)bsRHhkKI?0QEm@u)?WcZOva4Sz)lW{ziq_*z z4a&o5V8f;Xd7bSv-;2#9C&Z^&T@`}mkMQOLWdXvy3leAd=GWx888KIHLFEUgJ~Bt%%u8aT`|Y( z84SFCxn4Ak?TX+MOLaY?NbgWzWK|B?pF$SY@blXZTVau z7JPFnPoC##unHweq<_eLEpCdb%Ky^WYLK{CG3jk%!Q19W^vOFEcW?0E;Yus|RH2KG z#HLOgh6H!o`kyt7hE?XJ=glK*Eylv4n3;O?nKQp-gUI!6O$A+Q&m9f`U<6#AF~nB`oBYVd(Szc&z&7Z&5O<{k zmGOJYk1$?rHEn(A;LN&ZTFU&x;dC=7X6N|5Gb`b*`4cUahAG*Lh?jkhUi39rx9RkL z73){3_f%PasfM!62ezIC=@Scv>U)K&ye)2AIZ?6W@cqq%*=SyN?rGTTL`oPpgWy2G zvhzcLEFm^;4Gj$)p-TOS?bGJm2;Wnz3)g~yMXUGecb~MqyImlCf4iP~=u%tsXvqO( ziZ&cMw}h`kCcQ-=IkWR_atekL(mafRzW1PjjQ!K5oZ}wRt@JV7b&Z_bf(gqb?kjr@ zC&zJ53^cK>9$YoS5^D2@NJ;NoD@qA5@w~)II*WQ3T^=I+9AGYxyu>4{y%bQ5?(m^y zrfE@Q@nA=J;VxXnV9ralW9oGLPm9Xq9@12H8%#7NKEDiP7cOPB_<`9u`lye5hhnV# zAuV90t}ycn-R6j}8)`K^SFTM-7%tG|608oz?|6PvaWg`f>IRqZU{^CT*(ajVBJ@e8 zHy+P+cr4uL7R%T)V=Dfx%E)rT(1A0|`mu@l9S4W~*3Pz}?Rrn4@)@d#F0_ZSkONAT z_si_{^vW-Hupp*4?JSVCURdIiHsNMJvDom6kmWZOdh>e2$sni*ne(jN_0Ha_dSnh| z4Km5-Xtk6C9;?sTZpGgzf3`RL5Y1pATpGC(+skpsu=@UbngL{whQa&M0ZU|LI+#54 ziSBPJnUiT`_h#T&#G2BXaJQg=;a#5XLKil4swl1CeV@|FEFpg`&5dDQn|hZ)=$3YV zQKIl(>7?I#qb|LX_8aZl($W;6y9ALbuJZ{#sxOA=2j2JS4|hzIKM||PHCwyF6pq>~ z-=ZAl3G+$|6IYj=D%?vIfx&%9Q z^XsK@6^nuVrdrOxM=Xa!_AmEAgSt3IKs3)jHelwoOABIHB?IgDkf zW)69CQ)zcZdHm|tk5+&Dm^T9a86H*6wynKgzDJ?N*Z%(GIVJbu>6mGYQ^}UHe)=X1 zYC`qxcP6VOocmF(<}p4ENy^mu^$FAcsbS$7KE=5d&C@QwXayPr&K;uNdr#IxWFOh^ z9OFETznP!=;w`L@7D#pzpSkhu*=>=eJE3pU=xrZmib_-eettkRHtT?YQB@tOp)qdv zSgRb~3Ww3hc8~cVNK+?$H{f@s{2qy;Dsq40i$VN6Sy;e36!MRuqAyR^s#azDIBojA zNHT?8#ICuW?>_H2WTidX&!mzT?M?%3A&sVj=zpR5Ix!S!^zJWWMwB}GkyB>>DR0* z8lXWGDyLM(8771}Q`{<&A)O5lnd4=OF({Xxz?PC*%%FU~|YwsrpmL&tKhF-Tzz zty@KlS$aArX^4E(e8ZO9fdH#v^KiOgDhDYb5KSn(adBHmaxJQosfmq#r9})0H-A9f zm|sGwmHJ9>@7R#Uv!xWyzwoH2L&!1!1mZn3eJUy^)#(89Etw6HrkhItm*^^r|4qERI6 zxU2f9R}F4l#Kw8}YKkC*%mZ7>yD2~XMC_@HC5*+%{gq}!F8l#mJHi_|Xo769&HH?~ zbNqv7s;3zNz6OELbm}9Ddw9j2-48RkqrzK_bweKE`V*$XV(jvXhx4N@^EPx*X_;Gc z)8wqbYfx?`rWb{eSrYzoNkp^?nP!mfes zWPH0L3*QZQLQSsMU3XSQ2fy_r4Q#Nqz3;@|vg54wAK6r=vEy<+w@bIs)@siR+^CGD z&3QU7{Z2LqV`yyGh_I9O;Z$B_0g->NCe7=*G^c+T51k$<$yd|Wlo{K3)rw}-eY;?w zC$DocJjDyneFk3->_o*SCjLBm02h;@0yX_R@%7;(><4p6@+O3tpXxpRo+s{VEJw6? z;VKp0*eH$!m@!w5)7#al8Q05OkP&-LKJ{!t@xnUSLdj7)C@k9fk9-8irw9@&P++SOFektKZ`w zw{h1E1eqY<$?GPk5Y)lDhS5US2^&Z`2Tc6uG)O|Hs7H%J|5YEHS>h_ymYN{bo^TPJRs8ftQhSb?%*N_?pz_V!1WRD)TDhRp zo2PdICG15RGdmxYbKt4vu;K0e5YUmS=l5_ED`*vX%~r>2o{ulO{@`nZ_qWR;V|)FT zYWRW{MXnz(iA(AhQMa873uxzaZQ=jrktkIdd!=B2$!#-DJg4J?d?2boc#My zC^)DknzN?ijncr`Z!!1JA3khSdba##(2yp3`H>7yd$jQeMSEoH2@yRzL12h1^R0iF zD=Uueb26Xedei=;l>MlPnAc{Zt}Il|rPHkW2?L8?h+p8_P``Wla7R@(n4Cqs-22|z z3FGZV|N47YN!L_&wy?XEi7>4{-=f7liKlNC^m_P*;E%Eb_w)T74*=UmAB|GXs9X1w zBeCI;rq0M>T@J8NEYGS>r%K3*rt0G`*Y=&$Qyz5m&^C{oE{t907XPSFOs;u`XY3_uD5!l47iuh9lK?M`-k7J>?qa;hrG#H_!GN2lpU?%kESz%L$} z))a@A2-~wIogs4nSmuJ&tasIO$^jiyw=vbfw+)^0`x++@pyCjBW|;GnMuUEUCg*MC!c$3}%6dVGZD_bzuEd zESH@hwEwOLVF@h40RkncrL}3YHN4Mu&=_POVWum{C` z9skUiNwVKeMtaIx3MM?QvOBW=_~SS0FxU5xlya%?U)F}mNZ0W~UMD5NigXfkN=nn> zn{7qbH98jg#SG~c?xXkA{`$1=jX{YHonOuQX7=sdm#>D60d9manZv#&dt*z15{ie_ zQY~MFq9@-8N#tk##Nn$tcahdK)9?1>!55zBB2no@EB<2W8`IRjXja14m{~UU&$ivD z;mu(Ij#Ajng(4DLl%A}tKA9JPbXuMSb!+r8Yi&vwP2%4Xt}VW4D?)#X*9B_#&h3wF z-una&t^Yyrwhz}B`(16Ut=DI(%jMj0f77Gw-Pd+3sBK@!YHF6Y#gZ6)f=@3Yhxu{# zhJYIWIPNIJyX+xVmWshAqiJf9?_!fZyHg{qR8hQ_)EVK+f&0f?P7z3OQTOPJ0R|uv(jw9+B^`=Lhk&Fs(%l^@ zppsG|AfR-2x1@A;BhuZ?-LJpz&i|V`bMJKqW#D+;bDr4GjQj*FlCwSY<{wNl$rYO>(WE<2yzCj-3M*Ybp0NX3E^5AO1g}#c+`D zQiHA;_~KVomCt-VfPP1>L{jseab1f8@kh0RaFh3qXhJDlpAy&~CsM?V3M}1W;C3!e zR|>(HWBaI*-`{boJ~_UP;NbA8r}|YpS1a=m6YG)Q?W~RGw>~ESCaiW?&@7FJ`k z({VVF2$$cqO5)=33w*l~ou{T0^L*w#BR{YGA3wq8**x~~4kk-f6&YfGFXhzU@LA7L zv3q+d?9sYQzoluomi$GPLpl$|?i26!gB5CuwL`Dpfj(l{r32yZp^HQ`5+CVRD-sR4Ok0mOztDZXavnHjmVaaALA2 z@!a`0rj}{G^_H=lVaCxsW%@`%EmFzbG@P=3P20#Sg|eI?PJoxKyr{-9qg_wmMuyzx zjmZ*zj*k&q7=NQgnPJiDD4QWAe|x}pa#i)_;7)f@5qo=wh#XN#KM&dJ0)xNb za8?h)PVLX=vN@Z-JVX(3Jal;JEb}-c3rp7V#WIHTn)F*@^mU%MTTh>I@)F2=xG=iI zqy2hr{??o57uxv^6FA;&_Z53h4)aom(2Cj^auNd)J|@w=`Q#_L%7^2c*AVWeyDnGG8jcI`M4mOj>O_dcNgX>7fgpSjDpK$;ew z7mYGUidYFg)qja5s9%&OP*G7F_1c1bC+=_7A4SDBR5 zxTyI{qN?t#$7Pua?W~~tbNavb8-0pnLl$h|6vxyO4b!ixWNB{+w?Ze6d2ZXKp=efJ zlTVU=G@8Egl*%b6ikAO{>9l92J<H?^ z^P>AwZfsE(^-)DyO-^0nc>8?ZQ{N_w>^SXW=D4$|mLD<1pNHJ0QCB%-N}Tw5wkY!| zZwX~Z&I#cBTAoua`(Lhf$lWCKnE%jVe?e9A#t)#g&~5bFNfWyG49v2-kWA(gct$>+ zxiCF|5I;CfG`%u1jyZfW5D}=1?$Rnj*Y(VV=sIr;)*>p(4OEN&{0hkIOD4(4dfCZCzamrJ>P^ym^|w_vn34ZN##@yT@BP+P~kZ_z$cx zIp6R-G3MW{NRlwM-6C5oI5|Fxx&Qg2{foSTRgWwzjHl$Ag8Py-z3L*$zib+=Re#!? z50Lrgw}1F%(yBmBHA*+HOrm)C=hD3wwdT@2e>HS(zMG~F)2k|{Z(4(+BQ-l4U0d5t z`v_bx>j{gpp93odg6`bF+Gy|UEnKX`D6zn|`ifk=e<3C{Lq;n;V&e=q{CVp)@iQO$jY^Z%a};IeiLDqhds5LKVvn{PqgIcX zbt;eDG_-t*K1i7^27JwjH!8#-S8?AEi-{>{~Jp1x3J^!1G1l~L>U4qh3>jgwsY z4ed@zu_ttH;jdqoME0bBQT||aLDuvGx7FN$q(ea5JzXfyy({9i`e;n(((1OlMoCVL z1I%EIG6(l}&CZqc!mO=&Qo81MjZ(kah;{}E3GoFnz46Yv)Txa#e{^-XJ4{MM}B>ah)|RW*c$ z7jurPz0R(D3`+MAT)rXA9mZbok-?*xF_%4@>E9*NDCoFRyd&&pen!}WA0X9X;*^A! zMxu>b-_*~xAGIGQDbqooRvz|<3@7}wr0c(lfeI!8j6rBKs&zrIfUl@&N z_yQo;!EL>zt;ZJj`*MOOl%h$Y+1ZTMFen|sVg&FYf5i_t4Vsi<-3Xn?pG2}AJw7pj z-;~oxPVS#??^XZW)n1yU9ct7&@N2gDcW)?yany9ngr`8;=)DIl8}0;^V{6Oe(O7MT z!*gP}@c6!(58j7E93_9(ANc3s*%zu35IntZDtc4Mp&&3XWbqn{neoI{#wd8DfZgeg z)`W2W771sa&@~z7-?FN-k)$N1ZDRox&B2o)Z7u56BNp1$2O~~hE_>$#gcIY}!C@<|l)}+mwb5$VYNxMc2F78xqgqsysY*!1iLJwOe4mQaqB~QEH z*CzU;_u(_#n?zixOL`XflJMTpk403(D8vQlEb%8LjzinjwSj%(`4!r8i(={Zc z6Qslym6V$EJP#OvE^G|y=s-?o20^y<-On}DN!JfuzVVbCQDD2?nB6j2&@;iSD%yob zw#Qc+A4z={wF0M6uL&<^9FrbInt`s!r=sBL6zr;Bt*(JHx7FQhWA66qs{SE$25b}i z0(O!PGb$2D+JqXoSp5R@Ad4hq$LyrYVLCTqYzSY&8U^yXCj)!10TWAMf81i+4;uz)y8A?eCCsDT&ie zpMM?C9>(8NQ{haerh}@1g7ff=!!%C)$9(r6Si1;VycvT10nF|0hhs)jOjpnwi)14C zjvaxuY3d&GnV^^3l+DI`M(qEDr{OLsxtMt;$$5IdX&!pDZ650(jdkO0U&AEt3Vf(0 zyx-Rs+4tFzI^#?PF}z6DkjN+$$oIEJ?v-LN^UZY`1@(0c#A`Kk##}ne+KDbp7UUX1 zMvON#r<2IJxxWcr?u5wRmb~Tk*Xq#7zSS9_9Dj!C^&#@7z(x{Ym7UYz`o-O`IbAEq zm`O7>1R39*&y9T?$mKwzyWIo!nQjpGO$f6S|8vc))FiwprKp0F^#=%S57*~tZjXyj zbvRv8l|1;#>uvMUfF!%xt~4&ipNu|ADg#dznOk>5%usu(?ZmlJx#-{wSuVPbiD?LR<|w8a zDA|+pwI>;n=l)H#)ZZE0|IS9lQ+`z^o$f+eE3o(2_wNvMa4umolTk{P$KYJ7S!LtM z18kaRNAli@g~DEuv&hMT%NsTxeexV}zQm`4fy(QCGKyIt%qWjCib+6)A?rXhKhcv&HIKi!gyO| zd|pbF!7*=%P2XK`^M6VgiO))Xu6ItuX811?IO5ci+`iEkty>)GNFec z6$%`v(U6e?Wq|M)VsawdiY;@5vKvuBYM$*(YR3FtHZAv!`tkWK}FRr5= zmTU_B_}5u7vajVNc(jK{Tpz=YP{Ntt`XwX3sU)tE)rKbmr}(5zE9sa9L`^MPViChMi4g)T=*XFWvtem{ak=HkR}1J)`nh z!)q+e>!Q_xT8!x{aW+yKD!k5Z;aYR*F%att2qRP-7VN}q_cnI;+cOz+(Yxq44K02U z5!Ym9u8bMLcl~K$vS(?(z#^|{05#Py(M&aLe^rz1}G2P;+_n0_&IT8MP;KSD1Zjt?l z4h493^vFm`%i8Ac$P=n5!C6ZM7b^AQ8mCdP=4qU;Kvw3r<_bq+Vt*D`sg_%lCwQLH z0Yi~xu(OXb7dr3t&vW`G3k&oL{{1e@lim_}6zq9{e=1V;F%NAVK8+Zdji+gFtljQ) zW8;6zonS8T!lfkgcefz==EK?5Z6CxBxpM)L^$X(GAXLuv*dCu+9G9yq>EV<(BL!)E zm5(EDeItF%D|E<8saTzFee=jjFWo(nJwm2wlHbn*B!=(lC#1p@h~^>d-ub$Xkdd9h zEAxQdZ26oY@vU38kVPL5?9^~@BUdkKyI6%Hdc(9TO8e9Jq=&W|FNv7^fJ%cEqu`5 zV~I91A8Y*Ae?GELR~FzcpLp)vy*w2`~#Nj(`=+bUu4FGrX#h z`^p=O=1ddw=__U~(Xj;60O51lgmU8_l%}oieJkTu8ypHa*O)CCX=DFms|u8 z>hJ>PI3PukuqcowJU%-cad|4Lq=d)kwE4Ed=eE#|Voi)RfWD zx%lu-Nm*Ip_3PJ5R3c_<6$u_XIbHGb$A%s+XL3D9am~f8VzslsPjuW-La$$#R-~mb z%Xd$J{s$+kC47sBUm{_7HIt92^p#@0-p9DwGAZNsMJnxosza;qQ?${m>%MVTX@%Ub z__#d@LNg|4b)WzX8y0w)N7SY(>_A{!aPo)8ISebvb0*8ax6e?~_K1uE-sDPsyu=ET zn<9M!qwfM&uMMYpw8MrF=Tm8_EZ&FO5_zVz3x2Ii+r!eC9h>*&}Qkj zBI*W?aQ`FE2LZkgYr{KRURSa6dS|5LfMNzvkd3MJ$nLmVUIDP#BT=>=#V(?kfyzrt zSNG>12OuPU5G4P}tdApT;nN$0s+x^oQ_NQUzd+eUKM8NbJe#NXT0rXkzeAB)mo>-b zsS>7#EZ~des2J~aoT^N`ifJh=c9K}Ow8AhplTmc}>tg;y9PJUSJvxE3d&w4KGv0&B zo35<%kAFAcFAW6S2MGpBDEvSkh7G!mZ0$A#9s@UbD?nYQ(mih8y!mrvjmN8YGpP=$ zR0Am;LshdiJ1xZ3hvQ~QqSNE!V+Knj&e)y3y{tX##1e_%_}leI@el3WG-YYD*{LEQ zlo~Ena2Ja59tbe(AFBV1rP$JOGZbvKmE7i7jpltN3XlFxR?haLCnCFD(m=Sbbc~~f znc^lfmZF-3^VJoK^`uTG(Ktq2EI#Zm7*!y}20`vWD<_T8iNJ|vWiOxC_Ev9u_Lsx7 z${P}Xy{1nLwOdG;KRDQ_si=Gby3-Q>9xF%o-qpkXr%nx-Cdm&kzVGxs)y}psCpccO zAuAdfxQ-#d>5-Kb=OuZCbsg`aIletEZBs{A~{88&KJ3&WWvUh#6qYYT0M~_3QQ)_zlG-bKSn}l zgvcPk>*@kA>9$pa)S(F8Sc2iU@;ZBiBn^fv$8%_30LgWxX-aCJBAHEgQg0=tipj~Y zOM^;grnHSfW%H7JHZxMhhl|H7IKSJkk0ClAP79910W?gf_xOdWp{97pv3LCQ>DO-n zmJr(KZ`WZvCT~yTEipy&UUq9agPSh(?sGvy6~B>0@PtRrIkT153_5^>J18&DD(N~> zS=_362Ng-Je;pNF2kI*TWaIV^EGjJIcG~=|e}<$phI&6TBU0(OvFeOm5J)?fBcV|2 zL2#`3(9rck4zh#_S=Rl%X6E4RcWj)6g^Te<;N!a2u5l8HGe9nO21V?qSl z3)RPvV~Y=)3l)1f2gIhYm6Zz})|3I(xu{wOg?A+TS8E+RJG;E3=Hcnomgh*a{@p%x z`<=~(M|rOzQbS{QsFK_!?p}>cKL1l7Ko(}nsryV{FQkbK6`go|su^m-);N%ms8LAH zu$>pa3$S!6PI!0ei6MXEwI*gwxmzCjtNR6^vJG7V0>R>^0Z5ab+M4&F(QE3kcBhHDib zPj_8dgXB9F27a#vZez}&P>@lfP|M7KxTo6Fs={4OlChz+e+AjRRPJAq{qNue)5*r3DNnvl#=+q!sDG0PxJH2K+dEy$+XE*r9H@iSWqatz zMFwuT-e8+dqd~-WXOjzdlBKMNG`}gTaTA&i?DLLFrD3+Fq(fVGuyraca`c>g*n)9M zD4N3k9PfI=dP2?cv>of;-%AKedaGsZ9;8pjEm5F(YoAkdBgZmBzAdQFI2m}EEA;LQ zBif!0ux2MlOf;@HH<`WJ)6_R$?btg+u>9<}^>wS}+5Z%wds}4M9*daG60?0G&OZEk zm-&IaKU7Eg%OapU3TxQYNUFOqZyh~GK{~M9cV6nw=ZTJgB}l^zVE<&Zn&xMGAZ6D? zAyUP~JpVx2_&W>XioO)e?7#55wmM4B>{Z+$o>}#}rgZq}bQeujCqJXen@C(XBJaU~ zD#CttgmDdWP?@jmSihwDb$xR#K){GDs}Q@dEml`xEdk;nfOL%2dhkhoW&HW3%#xCt zTI(o#R`^q;yG-rmEZNQa;mIKT19nAZfpce=M}6n(1zBj`2u?bC68+=0|GT~n8Ncyd z*4rVoCPg-P?!IVPA2=)?UNAi9OF>Ys^8I-K_z4}QWu0O?hl%nwQV#>9ti{EDJ9OP) z_DR>a4fGh@$MwJ~s=`O)6q{tOKV}G6-y5a$4KeEDJbM;Dfa*7I5GJhG=jh_#uZMo9 z-e0(DfH3drOv}%92vT;>JjO+9FY2Rf_L&|Sb*udHV#%L{(0)>|{31~NT%S1(Pve$+ z9kH8i!&((Sw?0Sjo2YBjMjq;zrZJ{UPI?A_ika>ZG}%axciOEdI{VbrPf0cTTw#=3 zp*vSkzwfy#nj4g}1B1kDzw!P!=nOBVp3)NMPfiT`fl}lmFr+2!ZikE(O6njzW8tc7 zO+Fc!_A9*LT>)a9e%wDwLd;SACR)z}IIt=?AD;Ty#syn{cybnerdvRV>bUl7CYSAb zj`5l3J(n9~u|az=L7`K@C^=TIx`v)=*5d@l(eB^+n^kid?_V@=g5f7+bQ51#V{BoR z2a(OH8cnJ-Kw9$jsSIA6{>zG*2jmq?U5w+pS6(ZZOq0G9FSuGv4o!R+zbYZj#e05^ zo7x$uV$uZ2hABq}XwgxNbm@$3vPY=A`Mkc~IJ=3Gi`kQ+!OKvNHQz33PaGhGx{L0b zC~f9F967nL^`_n_9+FZzTa>bzjIAS$^-Mc3>62m#AtH#{9BxtXviSKscPH4NRC3c- z4VeTW2$Z#+e>_$T7M`z~upzf$it0g5c7nVW9IQHs!^kbsw6Xu9**B&(n+HQ5M%Nd=YQ4KKMQDSa~x^=9Oz zIK{vul%?qsDbNy&=yCnwfPUS}@#y3F?)J0m{sABLOX&ReZ#^n3nw-6L6h68308y%B zq}%_7Ct9UtM`OhChnmMS4#F==CGns(2=B}^l|Pgi{m1RLu7t~dnrJ+YPY)7DRwUNh zNW4FMeX(4y`!Cqk;1fP>$I(XlGCLKN=NO5yn?gT1GW%SJ{I_X}IGTRt7K$~0j(y}1 z;o-F<%B@XCK@HiIW>I^5ZB#!eYZHweu#fQE~MGVa~SpZE}tUj>{R6n%PS4 zZZf@_hgHMBgUkL`0h5`UJSKFS!COSp2!Wp3g-EW4oAMb_Bdwbm(L+)$3 zI@wDPha)KSkL*#dSCyJ@vQ6S>6n7%!uO3!|?`ca{>e;4{P5%%5SFIT9zvDWGaqufx3l#%MwCS2x2Z#~h27i)S ztryFA*_YvBYp3?zY<^OEJdYQf?1R-sQ;|9{=vWlmmum4}h@=)kTF0x8lVyfVUH6LZ zfj5*FOO`dWuyT_LyC_fgZ`3z>arG9~q+)7v*VCC1KIA0U{9t7L&jYGe>Qb0i=cxQ~ z3`!g|xVU%cuFYLeeP(y8Pc_*`AHP;?o|mz8c>YniCO(*8%(H2lNg3+#Zs8<$_Yi0p zF9{r)v!RMr(C4qh7n7Xr?#zts4L;QlD_8pcRL#)$dgS9@7UILlyxyXG>{{AReh;9I zX!b&}J+e`SX8*~!S(D^4!FcHu{kI}wuBa|tR|UStFCU*y$!_J;Eq!|~CjIg0dIk4~ z#b>c`I?X>6h$C^P3} zeK+rK>K(oKjSoe*RYGE6StN7ourrz&4kIRaaM;5i_f|r zc8}5n+9#c3O1ebpKG~w2c{(okh}gf|zpvp7pY8j+5m{l6aUQ?AzT@t(e=Yn^jFbKB zV9l2N&w=~zX;$#7uov|86okN-ZYU~DUYuW?8A)(O&j0Mu*Hp(030xbRNj&7*UX0ahE8oT~+NH>a&llDBdmq@NGmF z2jo6)mLIsVvp&c-CF;908@0>y{yy(-$QKU?k8q2;BH~rNp3ec1$1xa_<3h<}!DGWu zm)p7kStns@%LX+&pz7YuoRE!XYo>d5n|zgv^-$~5d0Vr;OH|a=T(42rE1T0-YlL6( z`5vZ6_k*IEF*CQ}TL?o846CpDxBIA#iQ3-TkT8yii?YdBt8DHeo+SzFKhE;;fkJ)1XaGZOqpZ;AQ7fe;~_ zPcJn=UmyNCcK6!^uL%c!A_ft@9hc!vHPP!7)x$-bul6Xp(hfbFw2E%Wz1PPV?Q0w9 zJg$w4{i`ZmOcx`nkoF7l`iu;2+Tzsug!_V}O3q6xI1_Nre`3G0A|{#sNNFl2g%Lyf z4r0_+rm{(4b8|-MrIn6m^97QH{AN^EY+>)RzF1a40mSz1Oxw<+0@Rv#FSxV%g|7b) zb3nAu_jLML2f9|!U|-Ye|B>)h(I36Y7qf+N_-W&h7`n3!83iuoHC1hb;JlCT-pr?b zIaVh+XG)3CYmcDg-|u|^lplWO<=jY|A)qrrnu-h=>UVSdVhOQTY%wAZ&m!)NzZ-~6 zeJ#PvK)=C`nb0HkY+#ldR(JzBtvT%r^FzHe!Amo78NRJSVvnq@_Hm6fj(fj`SiM^U zpX)luyloFRGqJYayFA+}a@jKkRpzl8H?9Qt-P^!w@OEpuCi_iUFi?;0LDMj&QMT|W zsled)cOm`URxB)?MnMDNvHO}^)(vl)(jQeBIExn6$=kA-5j53+3%lozy0Eho!u`1d;5-OqPgWie!L z*%%nsMB8{CzH1EhJR6OVmeW-$891!lJyt>Ze7*Uu>&5tqZ+febj~EMWGhI>8qXE{m z>9^U_M}ml?EOe4mN1C5*h|oBXxKb~t;n@XbnTL{!O4G&zHX9V293)=}fAWhaaeIPr zbEjW1?lAasf2sIn;!dHe2?JtQTa2x3?RMs0@;cSpKKTrpI8apEiumD!g~6VE)OCZF^u$%*c5PN1 zr_^ybsg=#NPJIU|z9e=zvJM4Pm8jMBlMC@>%PH(S;K)=|J*UnlzZQHA7+uyW**$39 zId&t8^@zc9>Yue@$Qn}LdK+D`?<(*hpqcLZZE~WPAM7l2k5CbRoxWiFD~XKM%;3?C zAh2GOyvL+)!Uz@CBhP(n-jMVyV*dN>N>>uwcA1u#>tqO)>;{pqcXW|{YoLPob;j{?N;h}L<2b(N!_I)fz+0xfmzmvZ1fRiyR=B^9Js z`(|ml0MiR~M*=UeD_3n`)kda*x(Ktd5+7c73ru2nm9*zQ<@*VR-8d_SJtIvkZmhUbwXJZ6S5{u*dq$su@$97jgYiR|)m2Ykr_CKMlMGHQsyS@^=d;LN|3n zqA>3CbH~5wPriuwKHV-_a}m7vcJ78D=E|^nQPABvS^f**a)}ufZ>%esWX=L9=aQ0` zgO_3`>9m0q^&R30<^y5LhtdFxn|wCYJ7?c2o+2w2xV1`s?|Pl*NL~8i%JS=!v}*eI z(GbOme4sj#MxD*xa#0xQ)-8JKSvoFJleJ9i6CW+D#W^saRt&E92?Y}vCL z-run0n6c{_3Hgg8khhYdymv~7III4#-N^}#@6*)_{NTL5XEF5E`ZvSBF>Ra+bNIJ0 zeA#J{Mcg>^npjTFkTj!O3y?#+(&G5?AChQepL^mu65EJV!+S)dzE_`U0^qO?zs4Z5 z81*8=$Sn}zuQq?haUU^q~ zEi~l4C?qt+P+l!ZNtmiTHqIEAn-AmYeNc5-H3kJ1c z836_uo>r2lX^4HMonPxXzmq*-y}S;ayfr5phSqa)*85}2*dOBbVpZb(+U#Pgb@tU> zy5`UGl$+wW%(_{8t>2&)-3#XzMl8?P<@}OS#2fl+&e(PBN4Ygi**(nGw_k+%WT;eR zZ*gH`kA6gn;gTF!Uabkvp<(7+_F%X--a53bwb(V9PWumD^C?v_@H@)0R5`&66EzIi zo{=-5WQ`BZfFg(rG8%rhlHn|X9QrQGk0Cc7jU3@-e9WEVNXcYSl~-(1RpS;1GgvPB z;dDlfCMyWLCU}0bhc-98cF|3lO!L~a1Z*MHquXh2Vo>ydhFDUo)>h(dR}G3)K!Pz465 zLN%ijCp?v}p94QFk0$Qip4&`JOzoRWOdmA){`;Hu7AGBzGNL!99LK2*!*4(wc?%-; zWv`ulx^AL_^|7-)gSEP`%X?rRdDU@o&}KfTN{|;|btkXbOYd&oeHLoNMTjrCmi>ge zCIb_~M`@|sS?^H11@5xphc5q#K{WzO!x z#b{;d?gZWxT9Mh)MQPoY7**4W>I2Kl1_sZrq6w0}jG8P+-kEDjJuC@{aP6c?uo{r# z`HHX2-(42t(H+~3;)JzqVJqP-TwbMBL)~9RlpWLZi(+d~t!%!D9wF>s#bW3DM8#*R z6glldL917YTF#g8&s&}NuKuXjuAbE?qzv53>Honbo{w_(bJ=+E_el;6XL3aW-= zIpz5aBopSo2>a~{-(Jjk=DU5Q$T22nClnye*t+w~&?ZyAcs|mo4&_nut22ZeiHt!s7a4T@^j1{vgSHX}L1L}xbIw@Tw#xCGCLJFI2Q58B|JNB?}kJ)bPrp z%zi10WUIlHp>tf6eS1<{#2hUB=}>pcmw7)U|Ef*EYVbOiDsD?~w!4bo-%^eENk;YJ zPe4HDkBsI)imI>9%L^L^2gJ!UoX(JZK59jVJ5baqgrqvii?l#M!3~JiyJE~D6V|it z)K;79y#?cbIjOZR2$AT1XU7wI%Kh_)IImA(>z^B&CK+V1C2o_?6$JS$+iLxV-(1yYPQDU@3;*Vc>TQci>$m_ z|GK)mKX?xxZdT)9B}Veu*81$Svp>H`*C{xZQZk81h;9qrYi1(*j?*QH zr^wpG)^4uhX0|c|lxsIoN1$E{^i^vfa-bQSRO$stFgiv?`)b)ZUZpKZ;qoMaG6dd} zTKGF~;5Dc%n4>T3j13;`8*Vo8akLZkO21!2C>&fxV}WDljt&IEmCjARo~ zD--E_`#D;@C>+uV`5ui7>E4+uU0`1(V)n4b!Nv8_%3C@=*>m`sAmkO#tXVmDhWwku z)Qx=nY0CBtTL>a6F{xRyE|cEVZSL_!X6CYS0k%#_UTaB;lW_SH_-G%ggvoEx)Ts9! zN}HO}1D)9Q^_$I*apB+nO>t0b)b#0oa%$=>wBmDr&C#s-3OvWf&zgjbS%>MNn?NPY z_i0+U&JB*);Cbv!6r5*$glCSZE)8@(18qjVR2tKa(8@2z3dG3R*w_TT_OxCXYua>7 zOn)IxL7RmFAr&wKL0KEm8wr*I(u8d!hCbG+HX0OR3-wzuk<4)_@qSo2;lI#@#txANR0M(Sst?yocgF#J>~Ee&L%HN{+^H5F7k?{;KJ>ohCCQ;S17o#*%l<5M#0FKtrjx3w6s)OS3G;U zgtqAwZ0l)}P?eDMU3+4LWXU;)hO;F3hbr2cmX*oUxjul10`>d)JSI z#CYmTd!~BiyYn{8FqTF)A+3Xa`RN5PkML%b{$QoyM%D~)h9QS72YD{SZ^|D3p9^I3 zA%?ZAIZy_H=w6N>gO0Biyp(CK2SX}^Y;SMD%icgkL$anANQjdItt>tcP9soHkz8>SOfIc42?-_0CyBCxlo|+uzD$#iLuwqMpg?J* z%LIhBf`?2U&d-2jOZq!^DBoszqpv(qPqoY5KgD=3{h(8(3mhBBT0S6T_D1zXD&QlX zmw$eQlK^pbvE>Cwg*j+o)dR>3l5ViKxA!ZC==@^OI!GOdZLGj(-YjmDgHmj`)604s+3 z1h_)lKuJWzrx3zd%w{^v+7rVAq==syV2#T%p!8Zr`*?|-fkDx=MhmHV*}ePx18N48 zhijYvgc{QI8TxM){Zieg)A$g1J@e@1~oR6_f6JT|mb5Yv?CO z000}nGzsTv)gUGH)YQ~+G22XP&v&KZr{#Zw`ECKObhiFo^otJ#I(ad2&78ijQbu29IMR1ojlMHt(=8-?_LORhk$^<$zrUPI{(8X z7fS|ppDx2c$j-&Vbor*1mP%fdw6QubAqvsJABlmsLe?>q|Wx}v# zlJYsG18aaNfNnBApxvwFWla0s-mU-%0#isx1siM*Gal#zIa+&9Pme{+gCNl)B33<- zID-(u({v(1_wsD$Gm8Sw(nIUq{03V+l2c7Ia$SanIb7EaVTzQT0Y)R-U15A?! zuKZqGXXk6)I9V8$&Y_>&N~)^gPFsa8<&DNVp44SS!5(=HprquDdg7HN=^Ow&lL>um zWzOgdb`-f1bj=hY{0*>w)apD1fa}TLLAZl%-KX5y!q9`FkQ6}<@S&JnBy z%!;3^%8^{IR$i-NQ3Y+{;-8HT8EAKI>*+B%SRIm%<1J~{{}Mw?Lkp~x(Bly7W%TxK zzERJ^YuB%@z`Nh2unUF(EY$gR4N4?;-90?oy1P;9XJ*I%XN)iAbP?}ys1_C;4%ZUH z8N;ZW?;S+URp@$Ps`7CW7mRk)keG{`+dzT7SXoA_>*-2b1uWH-=^8#5o4?KY+9G)) z>}JD^$g5$BDS_f?A;jyP!fD!tW}?*MpBy#tx;Q!*%Ni7oeG~E$gtU`QR_-|h@H@bD zx_f7;(t(1S+7Ha}9?VcQSl)VA$X%;LS@M$i@$i}g!Y;fuffWs~hmrF%UQxBy`;Xef|o6@US zvtgE*_;W@uG_Y2& zh=|4wX^Lysa;uI95-t~3S;jFWEJea6fxFc>ro}9;M%m~DoG&<v5X4+_U`UQFt;fxd0No?)6m$6Trv_eG8U!!mBLb&=5OYYoI&l_IL0s41f1B@ z!;OyjH}4XiU#e)i_<}j=hsR&MTS%CkmWG3e_fk!b5G*ptTC02ceN z!K}>G3BhHxrhzIGGe~kW@Jfy+W-b@YDY`p57gA#_=aKL;IG-NT(tZNh1C{g&`NM+N zhksP+PVwHoduPAW?>lp`>EtkvWM2ce4QJTbuoEtKqv{4LP*wah4v$qPoL-!tFA0ea za6mK*=RW(Vz(9cb_#wm4t-7n}f~gWuON`HHPFS>g6&7Z;%e~~M z2Wx20)YXXq|IZw}d^+j6hCKg!hjfeYNq(aK#%>fG!|RZ#UikL&?)LU8aFP@x=}PQZ z6dYFahV(-OQo*VZwns7yfe!5u9GS15J@anw=uniTdurH8Z~#*C3@H)3Zim@y1n8>( z{wiw!{rlC~;fA7B?MW&!tKLvt&1J2kXAkkb4+EG7a zprw5U=jtnD;fWXEhsdu&RYp@-#_g@GViz!kuRq=+Q-&|g-knzPm(I`62e&+r_#D8t zAHe&=2{i~k&m^n@P+7`^3WzBfKGUnq3sdm2+DAr4Y%qXDzU0t@2?XdQ2RIJkK-!6! z;9OX8%yA~Nt%*5fW=35Y5{?XhmD=6 z<#pkZ@_K5)5L%h(@Y4X;z88IHT60>44yi;G9CW#u0d~u zNy@-V1i0L406iD>6y`a;W<3HB!e&z`|m_$P8L4{}pb_yE=2S`lnwQJY79oGp!To7FM zf^IjkMg-i}IyE+$7G5J@kY;(WESGnHG;%F_YrKR3*o_h2xozIBuA2H`lCG+5ZEeZD zem(f~PsMO8u`u1xj}4+zyDD{lj2bPOn(h%^Pkjvwq3&~1%jFZ91i?5U*BDW&gPw9E zK__epB=;kd#WqPaXukGr)2x^0YgE*qxw*a{7BBaJnfS)~(^rWukh{yB0EmjXp59{^ zYx56v=4;?ms#Q5MfsG*rD)>3Tjq?HV3_l?KQj(KzAax+%bWmUN0B@x4Y;CM)NlE|2 zCM3}B;fyiIuv(f45ohd1W~*uX+LTj*pa;Z(jUVrEx&5!_=H4@M%$cc3J%9K?paR*8 zurgJ}g@CRDA&8KcpwemiYAX$z^Lc%*f>!!ybG0{unt^8xWf{(LhDH;72x+;S;RtGh z3`8?f1d((AT@OpNv^(fG1{=TxA+7FE`pE@4E7ow!A(29hh&i-7D@fIPVx+O8-d!FH)8UsIH}e^XhL)E05hv$x0W_3( ziin5|uH31G9G#dvXFa6ye#v?6;vi5lNq&R=5Xo9Z4drt!ru|F@P$Ft*Xt;Ifj%jD! zPvdJYwiMrib|@H$TD`iQxw2#2J3L%Og176=|30~mj-Cv2g6uMd-iM(HDggQCK+Xrb z{NRKct8`$fsHgxkS$u76ZDi+qy!);Mr1RitO$EAVfCfJR`ftd&45VKSt@b6M!Of`H z*>NC_0nc$wpe~i9uGRzWMyrhg+|LDCT>4h*9X6ARi4+y9AuNJz;1AEgdp2_w54<}N zHbEo!UuZP}z3iMmp)!UzGsWB}_FTK1)7&K4k@7Phqf1P#{c|MEGBg^jIX9HrEy)Io z{xJ~nMGBE36*xC5mJnw~`JC?xR2k19WHvh4{fh{u$%2#p#*G`+tAliK#Y00^9`f3YQ&CfALVA!6T*Su|6hi=Cb80Q+jFq`K$n#PHpf%EJ!S6GgnnX$f)#0jN zJ$xCVKrbMmi9sf);o|B_{|r7$qX6qby)|#k12P3lNPqaeDm`6%3XXL+wxk?Z`d?l^ zCz>)y1}H(SC!M5!x>LKhW}uh=@0p1Vhc>6G7{c3*1YekBf@5*XF~vE? zwuWf8*6(3m?b@+E##m2DZga|+$?vVnlJ2cmp;lyM2Y`aD!cn2CbGsCin548s1<4=+ zR$+LobZE9xynu1dDY^iXgCPj-pQJ=wIO#x`C`p$B(Q6uCjDg0RAXX zX`akA@Z6O2^b-Apf|Lph3h1e*Uecuuf-FHgWDZ`tyH~pcmwuje?m^8JJfU)Ye0-+Y z)#YkRl$HVz9ny1hDtCS7QH0|u16UYbkGx9uj=QWplaOlxf-fZng)nI8&07`dj-1wB zgI21v7;c++B~RCeXh6r|%;Qy^wiq^VG=b}py{{<%nn!!%)t z&{tu~O~K>KtgKXrF%dYLO#1pnTg%G)pr)>th91&38&g#(bSb&zR}68j@SH>NysrVL z!0UBcedpG#SK2`KRMVQVbrIzX0W*m{&*w#&r(D9t`N&>`{e63BY8*%?EJ8EBqvX3e za4)}O#Tj?N(5;LXPzYVD$gOE!{i!Hr)~fyu?Pwi*Th)qNhhE2xWJq>8$ZbRVDt$U8 z1@b6jHV2SDfgqmp$&(O3heLPZyN@5y{bK4vC~+ zFwMUqgp?B&zNWLqcJXKKTJGWH__VlCEp^G%1yJ^{O?gR6cjEQvgG&a^J=i@$&=9F9 z&{*M}v~I)*KDYl!cjy$zQ9EXNs{0 zTLl*NS_7LVz|sfUpf?6?-pbBfKLu3lCj(dX0Ea7WzvgWQwwXX7@ew#K^a-@>KIP;j zHveD1vBr#PI+0GPsj9#t7Fb#BJNIB}!h6f7Z{Grwd2z*~PW2m`)A>Q+dU28Klc!G^ zCrqAv7+3(kvURI{|NZONr8{=~=qfZ#`_BOC_jl{>Td-@_tUGsN%<}GV6r6p`aecBn zaNPLfF;^EClMJS_QJ@P^y2W&r?Cjz z^S->`FYuuHg5$E~2EfjniSJ`z7F-0ZVM^8X?*d2NKy90{BgpZ0_jp296BA1I=Ho{XB2Rj2Ttm|35yc zk_{T4`}p{{u&}UmMTG@$59jgo=ikpdF1T*_%40U=!oZ&Qt%;K+2?1|WKLH$bd2wMO za6hLj+rw;T$k=!xE3i|j0303w4Ke~l+cW91+lk4bIfS)gz%Dj0?AC8SlVb*o0dZHA rTTHNNg(cgk5IwSvr}vL-Z2nKZbB(~uC5w*vGXR07tDnm{r-UW|pXla! diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index ec2a993db..c76c4f2c5 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -236,15 +236,9 @@ Lets define a larger circuit of CNOT, CZ and H gates. ```{code-cell} ipython3 -from cirq import LineQubit, Circuit, CZ, CNOT, H +from mitiq.benchmarks import generate_ghz_circuit -q0, q1, q2, q3 = LineQubit.range(4) -circuit = Circuit( - H(q0), - CNOT.on(q0, q1), - CZ.on(q1, q2), - CNOT.on(q2, q3), -) +circuit = generate_ghz_circuit(n_qubits=7) print(circuit) @@ -262,7 +256,7 @@ from cirq.devices.noise_model import GateSubstitutionNoiseModel def get_noise_model(noise_level: float) -> GateSubstitutionNoiseModel: """Substitute each CZ and CNOT gate in the circuit - with the gate itself followed by an Rx rotation on the output qubits. + with the gate itself followed by an Ry rotation on the output qubits. """ rads = pi / 2 * noise_level def noisy_c_gate(op): @@ -287,7 +281,7 @@ def execute(circuit: Circuit, noise_level: float): # Set the intensity of the noise -NOISE_LEVEL = 7 +NOISE_LEVEL = 0.2 # Compute the expectation value of the |0><0| observable @@ -334,40 +328,45 @@ Accordingly, depending on the noise strength, a combination of PT and ZNE do not import matplotlib.pyplot as plt # Plot error vs noise strength -noise_strength = range(1, 10) +noise_strength = np.linspace(0.0, 1.0, 200) error_no_zne_no_twirling = [] error_with_twirling = [] error_with_twirling_and_zne = [] -NUM_TWIRLED_VARIANTS = 300 +zne_vals = [] +ideal_values = [] +NUM_TWIRLED_VARIANTS = 30 for strength in noise_strength: ideal_value = execute(circuit, noise_level=0.0) + ideal_values.append(ideal_value) noisy_value = execute(circuit, noise_level=strength) - id_noisy_diff = abs(ideal_value - noisy_value) + id_noisy_diff = abs(ideal_value-noisy_value) error_no_zne_no_twirling.append(id_noisy_diff) twirled_circuits = generate_pauli_twirl_variants(circuit, num_circuits=NUM_TWIRLED_VARIANTS) pt_vals = Executor(partial(execute, noise_level=strength)).evaluate(twirled_circuits) twirled_result = np.average(pt_vals) - twirled_noisy_diff = abs(ideal_value - twirled_result) + twirled_noisy_diff = abs(ideal_value-twirled_result) error_with_twirling.append(twirled_noisy_diff) executor=partial(execute, noise_level=strength) + zne_vals.append(abs(ideal_value - execute_with_zne(circuit, executor))) zne_pt_vals = [] for i in twirled_circuits: zne_pt_vals.append(execute_with_zne(i, executor)) mitigated_twirled_result = np.average(zne_pt_vals) error_with_twirling_and_zne.append(abs(ideal_value - mitigated_twirled_result)) - -plt.plot(noise_strength, error_no_zne_no_twirling,"-d", label="Noisy", color="#1f77b4") -plt.plot(noise_strength, error_with_twirling,"-^", label="Twirling", color="#ff7f0e") -plt.plot(noise_strength, error_with_twirling_and_zne, "-*", label="ZNE + Twirling", color="#2ca02c") +plt.plot(noise_strength, ideal_values, "", label="Ideal", color="#17becf") +plt.plot(noise_strength, error_no_zne_no_twirling,"", label=r"|Ideal - Noisy|", color="#1f77b4") +plt.plot(noise_strength, zne_vals, "", label=r"|Ideal - ZNE|", color="#bcbd22") +plt.plot(noise_strength, error_with_twirling,"", label=r"|Ideal - Twirling|", color="#ff7f0e") +plt.plot(noise_strength, error_with_twirling_and_zne, "", label=r"|Ideal - (ZNE + Twirling)|", color="#2ca02c") -plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2 \times \text{noise_strength}})$") -plt.ylabel("Differences between expectation values") -plt.title("Comparison of technique based expectation values to ideal") +plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2} \times \text{noise_strength})$") +plt.ylabel("Expectation Values Difference") +plt.title("Comparison of expectation values with ideal as a function of noise strength") plt.legend() plt.show() ``` From cf8b1a53d452fbeec56fdf4df82e5f003584626d Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 20 Dec 2024 08:40:37 -0600 Subject: [PATCH 06/25] nate/alessandro feedback --- docs/source/_thumbnails/pt_zne.png | Bin 89560 -> 73305 bytes docs/source/examples/examples.md | 2 +- docs/source/examples/pt_zne.md | 77 +++++++++++++++++------------ docs/source/refs.bib | 13 +++++ 4 files changed, 60 insertions(+), 32 deletions(-) diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png index e71e42ec371536fbcb63b3bb95c2787fc60901ad..8d0e742c2a45aa77e699fd593f1f318b35ff531c 100644 GIT binary patch literal 73305 zcmb@uWmFYh)Gd4fMM647LK5wkz?(Xg`r4djNq(M5RyAhow%8pZ2s>980{R* zn8u2+c)^Px+Dm9SK_F-b&@Y&LfjkQc3 zq5gGE9{d{mC_}+;;r|{BzIpx@mGa*cDRBQEA6yKJ6!fV#mb!87i)E$tEbH3Zn!S?~ z`I|RwlbaJ3#J<-CnORvnHe%J1Qc^-c<&S60((C82Lkx!b6Q_NSny(5cruFbdCrp7J(RPHt;VC4B3CUH%n)k1G~@l5^3KlA zmDSaN^mGzF&vX6D{aI{WT-A9R$w8;{Z3XD78X6gCRGDKS<1so{OTHg!@;ED`^c+eT z82;NEYjqGQX~@(1c)R!h#NUlCV|=IXYRRj2V8D2)Sc6`x=1YD)&5zkilYU$(xwMa} zs`35S`KaV#Usl=z;F>O`w4e`>P35kiqxkX8=hitd{O@js_l+a}{qgUl1Cg2DVSy)l zUOqn24*->+F9fyfcfcdwRSJN={D3e`oroS!Rk02^l#^HqWX0)#O^N96yG? zgoK2B^;_92lm7TjxpaP&CExBSB3N|kAB+qaiK<07qN1WI9KYhfCM2jI@=vLJ5zC^X zr^oheUaHvdrB25-(Rm!W6L8ubpuI3*#uqU#_{og_GVa%Wo?NQfXh?Ro>?fe0pm2Y)l^z%p zqQ&oZ+Dpylu=cF={xl-X*{Y<&oGo+G^5poq?f38Blbg!P6BEi1u9W>Z3kwU{HlMNy zv5|tteJiDMPLt~RC#ZJEs{0lf7bmHdB{Ve&RvL~JOH{K|=P7wCiEeIgz?wk5CUp~2 z-pm+9BYwEQJ8ESwDIMSGoG4Hd{rK_Ah&dY>Ev?kY6wdPRA(Y@>FA3NrtQYDOocCuG z+}+(nRZBF(B42YLkp^Br-W`b+sg?vbHa2dL{QNxA>{UB?31W`Ew6wGaa>lUDAEu+f zUm9#H;;m9HLe{8x_2EF`JJDL(MG<-VugAy7=tSJkG)g9LYtU%u`QGG&Mn~gWR%?Q^ zK#Lz#|4KZlrltDj%F)ih%fd+Woc*62^+7ptqQq`Q+v z)Q?9`k8&w|UNr+gTwa&O_`L3A$CsD5?d|Pr^;>C`r{2n)3-wN--rh~njq>tp^PY5K zt&QbKt1ffsU(nVIm^l3H!EhMny9#Y<`>=X=$jI%wPXkii=;nT{D}s!ZQ~i8rynB~N zPC^1*S66qfW)Tw_8Hqy> zDaK|#@}cRt1KGrLC!Rrzirekb`o#KbcT&1or?Fso9IcCON(5mv17UH8^IP3yL2}Zzw^EdpD*G9=#3ZWHzAsZg) zeRF1?+uxWDCQ+`fuLpt1BA}q)MDyR~_Y4eFY1)D6f<`q{x7jm(UBK~g57N~Y05%*! zK|$5!_<|Yf2sLOrsE|Ctf z*7`gQTU--aYBxamz)8@v+sr9%URmzlv>5kdI*iM3gn?-P95ok-z-6Gn)56r^3#qA5 zi(97(LAzK=I%MJ@wd zgW))IomCd&BF4tq_HJ%?VC~f&&SqDKi)-;(wiqofEgkdoTIUDzYSxPllcydUH9t0d z3JYaw7M2ItzZ)+$xMYe)6L%~x>p>9#9Bo(_7PV%H(Xh{oWfX}3<6+C4Ee0+w)xzSU zD0mBecI$+mzCKK$P}bF5w~7z_@&%ippMR~NsTDht;63J1(^-`JR;pWIYiq0dSa#TC*&v8LDE$!g zxvB#903_&7$0x#m#JJV3;?!0d{e#E=PGwRSn zM(dr-SgfY#Pfq)pkmcm$Fo=k3C>I9q#wtvtSu7`LP5{t^dL7nx@0zM%Y{u66Jw2|i zM+@KrT*jh}lX5;>m}Ol!`HdzJ+IZL?4f(Ij^v5$`-CZ8g)ee4sfrbPcE(Qq+lj%SL z>E=Kpx#!g(13+N)YRfp2<~TYv&Bc5a_|My;Ss@6>$XGi&JMkB{=R4$NWMm@d=K1&> zwkg-!SfsMlU=5JY`!YjZ--^EUEutwTGX}D{<*|D1)McR1SDD) zK+UfG*~%_BG~PG5o;#HN{2TyBI=i~UK!yMJ<+3-0NcxeZX=X+py7!3Z$hgpg2nUf} zJvw3js?^J8xGHvE-pitR#vzfdGP6nHWg$2NR|E?EZM2pW|`1SR*Vt?MpL^5UCI0;F~ zau1TA{1#3^KF=!oqDjMn1Qx@``t~44Gig>yG~MnNWr{}N z;vDW3suVqYgG$J$uQ63)qxDmnwhLq;L;t|mYWwFG{R?>vS~a1`b}br^`1Lwa0YxtJ zwRTKNY!+nDP%Qae>0l5N(gP%v-}!2wv1Wg=))nt`mKDv9Im~FwGpjg1N=jlF7#MU+Ppd%>V(l{;e_2W;Wohc>SuS|3Or!27 zL(qH-PyhBp8!0G|oUx-TkQ)GT<{eQyK)s28%!T6gOpQ%)*QG|KDdLBhB>dWdZw;&+ z(;$0US6n>0R&(;YA7_Z>gRIjUNEguKeY!u(bURv#ciF$u(Ux&=C^uiID-R6~MIXxfxS;T8jx^pVh<=e(UxUk@NTch4h`oJTm+qNE@u7z@W^$K-t7{E}mJi?b@^Fz3 z0?pT=4Zt0nAf4%cj}{uHm%9mQq3A-OnW{oM#>bUX_YyL6r;<5llKpTA85wAo2h6-pig!5iojAm> zH-<9aWHYwqubUF_!|erDiB@fmr_?)w$V@=*GcCq*RrgRq#Gnwp-W{#Axmm2+JZDLC z7CQ{cnVp8Jwl@7-wH39HurLGO9w>Lj9L2Znc1zaP5BE1`CA>302nZD@hXcGSn$Rwd z(ak;GB*ewRiJN0&VNs}SY}6tO3Ew2t^%2%=_N<0LJ6ZA6Yi{R!c^d4s&M>Ta6Mw*k zRQoRv=FK*4=+MrNerD@~?gKbOk<;9iPjM9ILX!vBshXaTNp;#y?{w3B2#GJc|4g}& zc+j2e`+|Z3RWwNr4GrijypEdH0)v7yrd|UU9~V+y>{DnxWB^j9xGB|Ysu;un8c;df zsuN2G^T&f)t7%zmJUp!_EkO6<@IE5U54({{>2-s20=glGc*zD-Rh8Q0x~lFSCN;#`G5-WT!RjW(6*bfxw#qsC-QX!5KR4c zV@=TvnpI`oa)6uYY#!ZN2ETko2Kds3feHdC5I9WUK0YOZ@qA8}Hr2gpck`2LBlN0t z4QR7xjde+UUYFlJ4z*=GoKOcZL7)~aJrosV3N?7 znP`A&%GYacsoP5PqVHewdwNj3>hI_f!ob5*lR8so-zqEIQjoNcQXT5;g=w3fp3c4S zd$>@803N4beGgbF9L;+U7JmLT+rDz1VBI2xRsHU z%L5<*0ipxLf3ir;h>ai-(C0~CIQASFz`ts(&6x3fdV1QryF&o}{P577=>Q5kTq?)# z{`y3`PuxA}Dk`{L+MuCBH=lkIA_b%}UfJG;BP9h(NuQlU)HnLBmxAS5sl9S^TNS0)*9 z4Ro7AfijfJYd5)n3k-Y)0Y&){AZ$?_tII_d_34=7T{WuGgJS>;w=pCoo0%|0p;5|YQO)+dd} zX>&HvrMh1CZ7Nr^Q;qK0CI)LAJP}1k&{GL5R7&OVY^WQZ=<9Tvf%Cr_x zzIb|jv4@3@-nKKIR}!!HV8li;5sdOWzWyGn&idn|awgH>GC+Uxf9sZ*2*5t^mrmo_ z>Z+i;JUS^UsW(u~Cc5&kIc&9OZDEfO8;=~1R|E;zttEai>OeW`q#*N=72vSaHm^Y; z?luCA_J)F@(^5lUU%$YoCF%5b)SL~di0`}IxUwmn0qCE=sip$XTr>?>HH>y5Gb%bZ zb|*O6&c}y4Xr2ISL0h>9nx-dK7XuGzydIc2iWae7nUJ$adqB?z zB>3&&;o-9vFR(B%JHRUxIcGf|hqhdr3+Bm8QRMzD%KF>;7xPgb_V&!6O{@dGR!y%} zZus1?Itf@g^A*KZmnW8(n3z37LsV>RRTC_LgH;li^84J{1HH;@(ue)&^XFH*?#v(+ za_Z{p#`r<*bb%6qiAC6-D8NePb|Iso2^~!4h>eZ?4VW7}-tR)kixcLE@V=<-$%JSp zkX9w}jrH|$4Z5?QEuSUvua1^U?Ck7dVPOFsUyW1Kg~=Z~0sLr}uolP-hiM%*z%8SJ zqXZ%lpPZ95)Y_N7pO92KTcTO*sGbgTn(?f`ZqKDH{)~}*d2;Cf~{TrYMs_#-7 zHIV_6At9tYfMxHk3clBpOJUfex93VZ&d3gyrI5>co=sVr$moCvewWuWn z+4SF8q6yqXO9)78s&}RX`jdq!3!Zx=uJam8{Ee_@(dWRzF#{-Q^2_O>7f=_?HfORl z;6?O(a}dk=1~}kZ`wNoqH#d`Ls46Bv6f^-h4U};>$Fg^9Mh4&a*^?Z!?k| zYp|JT_r2Yrp8BQJpRbVR{`7D)TVwMYsI`r`u}U*JTn5cfpaW)_Jl=uE3|QL;_#qU$ zL`0s6WtGpZjeMIX(kj337VtQw0I5jM$QT9mnLmhB=BWAg#k5``5P*wY#U%$S7j-5k zCZllqTB`Wi}vIR0FhxX}@H6PPp-CDw&v`tkxmCfn-xiQExfbHLa z+YPW4f9yp#5shq+~pB1q2tpetibOyb^2*L|DHvl@eqS z&?>$lOITaei~Nv>_5lgHvm;JU%%>mNWs>*pO68L zf+}Zd$wt8Cvip6*0(Ry4WE~RUhXaJR`L1nkOqtfeTVu*D*-Q<2qolEZXZU%`c+~3(|+avvlVoGIa}LbaaSX}ftx*Nem!4FzYy_E zu~vECUpr9ArkGbpmE5W01_T6{po(iBU;z8c1jO=ud-Qkiiz0xXW7Sq_OP+fS@l1L{ zPY=saCxaZz%%11ljaX)PALJz6LK880GEzy}I8qMA?x0|Qq!HdJf{q;kd#(8f#@7VnZ3 z3$j7-pYKgaLlY6y_Zc|Q3Ws&Ee&^R(zIZsJ4K7xiwYGy+rOkhUtp?=xi?gj^GayR* zAErM8O&o|0pkzkMNjU_Z9XR1H=pB7&Sk$uLHK$)qGd0p?H(jqq0DtBkP!x>1P3pU6 zz#?Pyy0nJaHXgA1D{3?i?)r^n2&$CV3IW+~B(oN0g~oli20HjbsCs~d5+7ZJ8-zzn8@$rS#WUf z$%l+fUv^(QX{k}B4+90_*LOZwi{153Tk2Kj3Izwq$jH6J!!JIrNfaovy6jFU>W0QF zf3B@{OH@Hord27RE`-_^gE?$=c1y#3bq6)`P+ZxfXaj8vXatp0njhjHK0x4Jp#B8~ zwgDu#AYgA$U&zIJvAY5!)&@9l)o#z_79Xgeth%@8w(Nud5`M}1Y*5i=`@*yT$`vSA z#hL_B9~0s4z&)m7WsL!?{O9-%G*bGQkzhpe7c{vnz%}AF6)U&YRYSnE00Xp2pm9bm ztK&D)eJ(W$T5R~12XzBtmVpd(jU#ciu_-O=E-AjO)?@(KT@=%73gE_ul7b=-n5C7# zLyU=yE#Ysx<%X@%dr@PzJOogNq5t&kOry@86gadhX-G<#aZ+9WFmURXrje7_g+Tj4 z=MtWm`xc3~s#wZfkMW6#8kVz@Ti;7sBPx1&dj(6UwHT}x8{UKT?3+40MA>k-T6D`& zEJ$EAkt$dYME?XbJ$at>o&CxO;JS223p|=@s46QfZ~A(9c}-tCzii|U0hLa#*OCI5 z=P2m?#Gc!v!0ioEEduh6p;)_qOi`@@xGrDtSv~vnRJ2^+`( zUflzV1%1eC+q!^d-@8aCqN?e7bg`zq2lAHxdIiq5egl`-eFX;a>_i?nMwuiw1CVqo zyP(7UfJY%<1`>C!#wH><8f|a7)C|B{6PUO7_wKP9{dp-CMJNgM18^QW@tAat!MsRB zT>Nama+v!s4`2fZKs$a+WDU}?tqS3nwYVGD3hz=$NJ zq6&tdECA-AG(ITeLELY5@}Q~#U{by^Ep(xP1q=dl3ia&ceo&B+eFFC0*YDp&DoqE~ z0Sy9T*#y)>eBc;>fHz>j4AFd-_<-UzQYK(!E!h7?F&UC+UXS8|#>D+%QVopypl%to zZ2=a2478~F^K{NnAj~JNPY=<+7-6wrX;T!wsW~*#fVO@pngzhUIPD>i{+g832a??a z%n>F!?7&N$cto15+O0TGhad zy1ugi1PcHqEPVVP;QN9Z9xoV=f^=5#k{ASLJTd?6HaVy&$q-Z`cYt^n3w12OTe=4g zCcYwZ(`gGDE3l64!NEvi>1GXd_As^Hvw{ifd(e03fH6W1xGT_|DV?1nEg(x3VVqS= zz-sSLx=DcWi3MsFwpw%W({p4RM#fEmKrRv_8w#m+^FT7sR#{+uhDQN|t#B|r1B_T4 zd`BE^ zlgy3-#0ME8qb$8nL)AcMiphn}={qOdWYDZnI*^${Yi#BdV)JR`I1w{IP2kfWp<$i%zFOw5#dbVhue<9 zK^dU@!a=jp@dnT+6iR17DwUgu(eeEaFPJD++00MHWaffpf{9*^V-=!-R4g+9oKaxW zLnm&qaB!mFbh^I3RT2Si-(-VyJbk%$D_}Cv5$_tn(=zY0m>4nuU=&c}W-JsN2PX`; zEwW(R0QLOASPQKj_~EQdCZL7=iNPkKmHm{OoJ^MndI$yv1}St0pz7&9e)4&5LOH<@ zosvShy0h~ZQgokW3VPaU-1+-TU#NWfI=6?|EQMp zY}Vzym{204pb!C6w%@KOQ<;R)?`lIq7jqw=gvRL*Xw(G@6f-qxM}UiEnUCj2Qes?u zdG)R{hEiH8N4@-gTqMJR%2wS2=(w3+iSf_cm|CtgDRpKimnSEcl`#k6{~Lh;6%5sB zVF0@R8-a1y>C);Qf+qf!jGR13v7qWUidO2AjcqAVjT=<$EuJI?Z_Vlfe+NkQVRe0- zys4?FQ-)*FIF9&N#nGDOesym=aLBI8QC_o$0%JY`s4A$FDk2gH9a3@n-q%gKUM{?l za@?JG3!S)Nynao`%gYNL_(EZ_6I4^l6p!b5{`O*H?FNCT3+DdmVJx8F&D*n;dC+Ms zz*cCg^4|Q7T>~a#yvx8Qm0CdyyyPsT1X77lDfM2g`a`~2H;sxy(x>{ z|{m)ev`W^!l9%i7H1^kHh^z`yn)c;*Qr1T3zt`oA0@)5Q!(3%gSCJn) zIlzNvc6eCse=f!B;yX$u*z^Rr{r_-9=KtaH&2ANE3ScOJlL7e%8Y@Q`n147LE_z(z+!~YlKu zsi3X>QC2o;Qu^PM|7zySh6@8f6bPqnP{}5VK#_piA(;49FC3hno&v3z3EKQiV%`Mc zjHt{E1N4goqtK1XG6Ug|gU|m(<}%~mw!7857H|0@;?PE_Q#DtNRRZ^0)ba6g7W|hv zynf)Vv$M0m*UJDlt5IQ$2pscOFdFGJXB%twas$*!%T@r0778Ao`BQGE%`d`N!vC#L zi-sNhY+rBqbg*oP2S_h=zA_jUpsxuLL8wtPGfY2}f;k8>Fj|^;*eZe(m^y3MQ9?=cB_3`@- zTSz{eiL8+|T!@g-&T>*^wud?awi0`NE>oy@DDHzg)Y^_Fwl0nnN+xA0NRrsN}H z{ddu-fZbz`H*MjVqEX3hz2MT=wza+r)pqcEiPH7W#BfvP0}-kjp{Zi6WL?pMjinMo zd)fqFv5cm)sspY^1Mg{-$KSnEnIjjEzgB0X$b66%0zK|P*9;|fYVKf{Y|&=i{5Tgy zehKSrSz?_?F=5a~X3GrVgo9tgw3)M282p9@GXXQD*YKYK=|Z)ix2c`X$br^gef+GW zEwVHkgUQD|7H7nxwUL_2h)R$B=x)vg2Xwt^>a$OF*^6@=g2~DwX+ue6~?5FF! zBwTSW;Tjx+nJsQNsF=+P!?%Agyd936P>l(zW}~!i7{M_nw+=s|`2U!Ty}ZyIWvN3+ z{WL$uTK1M82=gZ$MJr8&bkL45j!BG)b6D{jJtK};Y|h}%o($0}<@I0Azhw%eg?e9#vXI#fEouwiHBb!Jp)4u#G?bK|EDLE8pEu_l|S=?j(fl|A(fIK_ER> zlZao8d`XPFMJVBsAkzKybMP$zDd(@zvhm-ksli8 zUmiv~*!5lCsi`!k#`N6P`btyuw?ZETsf^R>@45S@CiuRzR-q8V%8~YrZ=9U( zdZ`~yBa$p593wXF;=qc*VQ*=+R#7hDnfwm&$xfU7v+cP=VY!f>$5BQ@8JBD8JCaQ; zas^xJY46LCvM4%@>~*ub@H`C_Wwnln*Kr$*$~I}pM^sGlOBems*#?guiK9yHok2!> zTUiQk@CFXX{xoFayZ%Ig;0t&L1S0zz%8yPcT9(yS6PB;O#YSLA*gF~Jym{V~zhCk}K~mD>mu*62fOZgh-R*$H+%R_mp1bgs+QHyhcvE z3!hI;kSIquzQ{k>lYQz4LwMOKqvFI;ar$UO0_|?R^#Ingag9dGT@T*zrq>|)qcyMX zOs|`Sn%jB3)-coW7caX*9>LS_+r;`a6^z?*Ka)WJ-8k*@th3A5%wh5|>KM5fzEat8*@L;r zr0S0Lh?Q=`V)_l$ZZG$GLa#B-EoNTiWICQu2CjI!Vj$u+VbJ@i6_&Ris4%&YKD> zXFsIfTKHCpOKt9s8G%2F`Apg3B50;psWv#I_W;>EF4EOt5?t2lZ^d=qPWabAlx=g> zURiUs28AV4$7p<)tkPqPctKA!(6~mcyHS47!T!j9#!=h7AlttZZ}Q6sH=vtoQ!{Yo zWP(>#dw^0;%Xc?PUeAr-g%=jqn#{Vs9l?vc5zd+9V8OJyB9$NW?2f#vGDB$(u>J`N zh$7;A0Ua=B7)9Yte)A#NA+B%a7y(Q>yn*M#4;R!M_*n%vz<2sw&c!ndx7~H%`7~~u z-Z;qI8h3MiEdgw~oYxAv7hFkh!9${5^bPhHIR0jDs{GKoBLg$=$1e-S_0R6?kG;^v z#w)gUNA5h#7rOsq!d>PZ810i7^-gb$zi*-=xq84ys}_IjWNMw>{zJT_Q|X{rt=30$ zye$_e*>2=?^f3DR{&)+*hGso&zf6NE-6{hn_go->*v9Oin)4 zih^LjNx?TG6cazFe)4xd^THz9kBs)}5*`)HiXs=+rP^4t{2+K{8f!7K;)go_qmb-q z`I5BjCs9uQlKYd=n}`7MyR30yroGX>oW{dwW4 zKhUd_tB(o69?2HSUtHZDR-3cphIsO!McS6_ZtC9({waPfoW>ZU!490JY^c^6*cLGza+#o{aqN{*^NWq)6LJ>S4b$M(1GYgoJAKe$(n9$oeKKb~ht@?#*W~dh492_p^AL*pO zr=B{VYc2h$n1AiPqBv)o(-zfbZ|D=Ygp+&e#rFc^Kx)>NbDcSBI+98)Svq6{)qCs- zt7)N$b|GC_^auW9zdhh{SzaP;n-|F;g@HXdLdQNGR|7NrpUH$VU=CqE9`MH{6D%4} zU#VtHI&FKS-VGT$tZ1{}4V%U$r0H!o!06g`hTM&IoU$Scoyps~jP5zj*80(FXgvK? zZWwQv)c*AOU_L!bWU2K)I9!QEKJvAy@^CmPP&r}L@z5FUTb z_3+o)64DK~@W>O-cryND=Mfoc#?G4Ei@vmfLZy#sz+~eawv6cqMYuS(;!d@7E6nCi z|JW#UQnp_Mi##a~3F1%g-}l$7=Ypz?9tY1(T+eED=y>BjzP#}B`YPl@O0E@UER=@` z0d$AOW6zkK!VZ#Q<*v50dxQH^_a{z`88cFp-hj#Uj`TiXY*#?#EJgOFVzBU601;JD z=XoZ90t_8K78r-(J_6AM$!B?!re$u+G>%SanTj_fHG^cZa74-IO%4A$RoKkj+H>7j zuaAD<(Y&c3f5ry;ByntIe`A;Z7AM@T%tTgKg&7}(_k3P>Uv63MN$kNR?~3Q8E?A4?a`re443>PRIKc1Dxc=5E&!SPFuDUKCPH^+(`Oh2}5zA6|Y9 zKfsgfs!vJ=w%=zdelx}vYvDe{AvwH7FHw+AUSX%N^MK(eAZffjy2@VmSUtjnB#c_Y zx2Ls#yf-5&cwUenXPIXE#D-Swoj*XcmO@7461N5;Y}bv!l(CRXiH{j~#;yp_d2zzo%>W-{7nLFC@{9O_@dY z8?IwrD3ll4^O89`5=xp>ukDYf-#R$3TVLP&z1v=dc!s)O+qvxSFdpGv$aiybs3#Nf zN~rCIkLp`O6G~=7VsHSHIC1OkaM8W{srW6&?r?FkY22=v-Wo$uLH8aIcR_>#L`;I8L73)@YQql?^$zRS9LxwfZ+ z*u<5t(o>`KYM<99Y%!0?Vc(EZZ8^31J?$I^QnpVPWR49XLk7;T7ZG7$@wdhDA#zi*5$)m>&i_sVY{{o2-k`ik)`wDg!TCFxjv`&_NY~Vu^p2Iu z&u>TYj^|KHS?F!?^$C!CSAM(zr2nf|@?w9sZ7i+zmiLked%Czn+mkTjz+{Dt+fS%9u@*zIx)lM`>6@q0uPxEp) zLE10W`Z;aWBW-`h*D|V}fjCv5E0*$%8FT^n*kx;5g0MG}4uf1ZuL&m~UHggv>) z*G<377&rMAUxOMq_rk7JotH05Ax>gj2b1&}o?;6%sR6gA4|_(oLY8=_#XTEs-1-o* z@xB{nmE*hSR{w83MPr&wljeA5 zlp{@x<%{OMcR6?1X|vZaf!L)4r;;xB@I??G;R@Bvb9l$OaJfM0&V&sKRjL z+8cFq2JwTwky-_RO-MD@m?Eu$bGjR><}tjo%(Y4W6K+HodKt0V$kSR$E8zBi{3&^8 zTD&z^R35pd{^2zpno$~iG|V#E8?|Ju24x+}ruqw+7QV-lji-5nz&-hJiwD#7V|l%SPvRvvS&M^k>rwWa{NvAGW?bCS&ih* zO|gLEw+nH`3i6#8l?@E0$neARi|t9aKwX*77KHl;W1bz97((`!`*?(M3GnzQS4Ser zQ)eUQyQG01iuyC&JW)J~DJs}5d3q+NpzR&d)@I9Q$Nq|`)LiW-xKmQXfd<%a z)395vi7~=(3;f7JNow^4rBU9`+rCl>Z{vBlCq02jBOSEv5E^mh!Wg-*hA_bF8 z#9{=r>KEzDmW3w8zdDg~Iq+vwQ@VotKOGwU7a$^gIQS8;SKZrL)A#wV*2zhcgsPslfT*QY%{zS#05k;pwtcp7jU=o%~#J2fue zA>c#^l`QqNQjgtSv^}39sqe{w)d@SmcD5iCX~i`-x5JQ9=9{O@twTy>jDUO5?XWYZ z`av*u2G3%`{L3J*%-ffxa{qlgF{WW?^NRGMtN{0f;a%b61gHV{47Ja?Y^RNw?F+p5 zT+;B22Imcffg<3)0Cp1t|iS?av{ECx#ks(U%O*%j|hsCk%@bT`}L z)4uW5Q_lI8ZrViJ8O^Sm5Dsw;B)AxH#(Kf~x%nMhct$_)XnZ0|4H!iH!50|96r+{N zt5X)uQ(IFwTvD<(PRWf>U1;ku!usxMqpjUx`-028PJATyfXv&c?-wb+TVTOs&K{kvs9T*|uSKuwaS}ij(6bv@_cy zH_1LpLx9cuO?9#3TzS$q)1b-PIeTSE!4OCV#cc8L4TGI=Ci-A9hfNn|PqE-Xe@c@u zyGU~?=J6ga)OE-&l|)~f;!cqr6|BxAkW}IHTjhx&_IXbF^7^hi&n5W=LD7L89_cpEKSaW&FyveTj_MX zL#j(18N{K7h{`-jUE`b>NJ?D@z3}p>d6&;_zi0;6S6~Lg{ z!Qa&&yNa8fC_S^5er{a!W&P9>ZfSYgLz;d&vU_9l^xSvGDXJuomHCIqNd9+#GkrP- z#mwq z^d*1%5nPz$kD1pDnNFlJ^6KrI>uq^3!Vr>{==q@8Ir#OhImM*VztWO)rT>&F{qYE` zq@iMgBQsFF>7FA)VMBMl$dz|*gA#*d zZTZ5F{Si(wH;77?$(@FM{1SXfbJ|MhCqd0Q^QSLiTP5n;Arr**TZHnee%r?(fh05& zcw-b9VKS5l+M)rf!)RVZCtdO5s_m3ALOyk^PQr(WBmQsfB9R%K8H0j)_h--0xfdz# zz2||-6jClsO22wr&;KvoEI(Blm8~m*oVU}#2!@aN1;Xshd*SDTV_3P(K4H6U7)$Pnrke-hY;*$ zA<>=RrfK0Oqp0j0u;@iBQY6zg-}vfajzO^G(xqA>#tPxT53grasb3Kwz_GQW7~U$k zw9F9+t$!>ndOH*}phQ(p^JV1JHYDNtYPOZ@hZ`!uOZcvrjuOdH9}wE7lwNsX+F|ZR zYj?VHt#KBn;gL6pI>~jzPg~ndnwVGb?9bkzi;9|^oPWvmX=Ji@LUx9}>&yS%wR1FO z27$qmpuISlj_Vg87bNAZ-v&G>J__f^JNP->jZJeVoi`cs-*JSQ%*)2=+w7^9u_kIzII5957x?Znnu*b-IKQexaZfA919f^va+ zfs#F?mtKE#Q>l2yA=t1P!ymX0U$$`vn^OsNYlXYj$O8j}L(;btr`VNgN#<&`!hfh4 zsU=g^2mj+1grW-U_c!r750O|hu;sWhx(P$W)PC?E189aedx8izpL}9K!nfIb2pP=7 zKk`md$HOq}Wi>>FM3ssmw4VfWNXk6m1a(BRmk6{^*XBT%y#7B+HaxqN|B8B%B$TJ{ zt0wnjjo!>qrymuR-vb^D#$fhRtwIQ{6gq3Mt+Hh&>fn=2;K+HGsN-$RFMc)V8)A=&Nzj`7T6kOD?iTTU@;Xgoec$OGec7Qd02Q&Ubr7>8Q*^_c~$s%>FDDg>(+4T-@gS{Fy>R|?>jnd z-O5E{_Wu133!NCnesC`}L+de;P@JpZtETkw{q9fJHTApo{f{3qx%eV7)h5v~PzUNO z32~F$JEZuSRX|4a<6a)j_=|gWp%d-v82RWSXXn_hY_lloD=AMHu~}c2S)s&etNlBl z$&GVd&L((lDSXc6)7u`|zgtQI?`-DTKo7rexM3~0qp%HY$@z1OC3Jig_R_ROVCdKQ z4~Wv=6XC^7_iQyIAs;@=;-k56^iSvK0`f(0$5(dIiW=o=Ty$P|FVOgd(BV7wmW8bc z&SWc;$yoliW91iF7{2M|p3AGG2t`Egus03fOLLdF0;#u%{+B-wJo2V_M6N|9)YIo> zO^(}1x@XhO3;(YDQa#n5rulOjM%j6FTXN&Ixo<{6@e%Gr&M7H#8QsMvPYmn{WTsM@ zBA2sMteIN7mtsaN7rToh+6!8ajJcgV|Fd6%CnO~X<4C53^TMJMm=)mE>Mop3cn4oyVaj;J6T^C=zvxht)(82JrFhzg66wD7M_uUQmw=psWOxJE6H9r-{ zq2Ix8bFZ4y;nL-&=is380qSXiFx_p$E7Yx2-J=oGVpFmhwDjTC)aB@kow~QTGcq|V zk3(Pyx#}GcI(iN{?Do8?3@?Lu@9*bE%YP%Co<@C5tWW$h;MX&>Bx+#5x;5m}Rqv#y zQFC${o})7_ny-Ay^SuuK9}ej%qIOJi*{|?0@4m^vSU9dLDuLBk>7YFqk{j+xYZ~7p zx?dzBLGdPS{CYJ-Y&Mxzi2!4n^T~_ny|MN(l?c3qpb-`M841*q_}=+GJzTNi&v5B` zU*D3jC|}rS{%C29r^HUfKc+~?u>hdt8f&CYnvKJx{}sEnAOdGSOwB-m((6)sy9pxO zR2bW8qw8}J3W!)0;i|nsf>O58qaO9mdAf+SXe=O79uE3WnY+E)>oNF|U4%TB@DLON zUUkzo%j&t1uPeTR&#vGy^0#3vtI;g0>G5bB82)uT(d~%UHmMnIJVmtR__yED1@IgA zo}+L#OtoMdmWkwr5Z76(FkkOZ)P2 z^!VeG>C3$ZbdI=+xdXkT1WQu6F7pXY{F&4;d5uXC#jAgfSBmV}{p}}7{05KT2P7Z* z8wE=os!ie?nX_)!jul(t6ZfJ{E-sA&nJLSN$9aOqy}DP{8SP%h0edFu%a>Mp8a5DZ z+UBAd?y&nDX}~8WYX(2-NW(mT`GB3YylWX@Erg)JF#NNf=GxPX^{9kLOf>-2zx{wL z!QBdZ_ij2$KY1=nH+>jrPl$+UWP5*6c?3g@L}BoMbz!)P&AIEa-)7t)=D{#0!YC3%t-g1J379I6}=h1Q${s^Xv7fF;XJ4WFVO2^0M63!D? zzu3je3cv*)z;_VaZkmrD$o>6gvogT#<9ZSa0muh1i>fQKrc?P5uQkBaO0;peXa;k9 zA%C_oIC!l$O*7%B`%~xd1`)UqlmlV2yM(8WJFk)2W&9WKA&=`@-w~V-)_QdpI{8LU zT?60xN0IOS0C(; zWqz?sk`>@WUomDcd5u?{|D_|-2MNN3yI1+Ux_nxdTV)kD!68FtXJc1)T<$|`feYMY z=>?y)`n-cC-%y(1%+B&C(DGSKox7+dlYdiw4Xx_li-=K3(Vq`}zF>y)Le)QHy?=0$ z4L&R2_p97ziyL9Tf!LdUjj3L@gAJe6HY_|SUHiwuZ%ZuyyGy^cX7b2Rg#_mbDugAn zdwmsS)i8o0W|thQp6Y#Xj4%oBaFh?3@2wENxK@j*kiDf2gY|&{63Fo0=>MbZtb?jr z!*EYaZW<9bASEdw-AIRYH;71gH%e@2X(dIvOS;)00#ef59nu0K+;5*7Gk50RnZx>dP9>}KwyYU;|T!B0pv!tHu!;a~4FT0c4e zi1M8sbC_U>` z9cEd-_K9nTD*9}+EQDh@BYW`T89!5NY{2?|l;loKTM}q>LtEi_T6e#G^KJ!>7 zCMHTPG&tS>DJ5_cocT(x1f1i+VffZ3tKC4u(z1=0qQJnXHsUMzZSdm$dm8Q6EahQt zci|o04gMIo{096s_u$m++|A~1|BLusfqhpvY^GBJpV@|VuiyVq17l@Jj`ZJ_W$-jI zz%&-+iv>JEhR<)Zk4%w)PdZEGUFYjQY+%ss0>+GPpmMfdXm}0;M8HK`-*W`6&FB7R z2e@w2lGwpzs9OA$;@YPzwXPtHFsC>p#dNE0zDvI@gD;r5zoA45_f05HR{H+Ov8S}( zU%_J6yteL7?L$`*W-b%^p=vt6FS;z1axzE4tWp*!j3(d&8R+LNz>yocQF(&z1ArV; zzxIt{^8%2(BWO4Az-doFtR=hzBxWUfHs>ni{YXpM9u?2^TWC(GTwg(5opasjr)2KOm72}@ zJ}YZ)Aks}~oU*GwoUe}tzD1){mK3GiKfgz(D~yJgoPbId2|a%L7t{2S_;{Hzj)e& z**=!TrN3PN>zoB9p2roj=FN!J%hlEcodNo(B!WGX<<}Z`>uEJOAvMw5kLfz79I>;mV2Yd&lISH@dNkJmHkG2j^>$NHK=C=F-`U*U zEPA~f3LsK|iC~`5m?7v&2fRM1Ghk)g{geZ@OO|L_YFkljuC)Pf;uuS6AZw6M_G$ZN z=VTwrk7|C~=U}Mh)tHj0(KU8sgxK53W8QrM9|^oQkm#>e==RnhSoH*14kQR6`9q ziOVfzq>YV{s}rb&glVbW&+U8f4^rO0pEz9l!v#*Z83 zz*r7wADVW}Ky6$!F}D~emzN6^_71bv-KDWWjXYLi)TnvT-`D2~Ecw7RVeh*H02zxO z6Do&Gt$L8h$_$<YHKG?odJAE8~`gUOihPj5hDzMzzg;jD6Ipo*I=7FJ3MarB_}u1 z_+o%9#DG|(z|{jN6oYnufs8psbBK{hk*X*2qGiium1fV-Xz)wEAR76k55e!>0Xd-C zc=Nj_*dvhEnEB@QIDMe?CK0Rgy*=ho+rH&!HymjgfV(*8Z722+jx z{v!0Fd5-QSvC03gx4&fF1t{haE+XJUu;8UIsJ9~p+PIBq&W=^!FKH;N0IJr6)YR{Q za{=Hkxj-z4upOm7O#$4Y%TyCtV(xPG%MAYKi+mNJLxe;{1>#V)N875TNI;Cu?9h&_5I zJ%ckh=dbYU_EVvXY4<|w#YN0P9G;fN`QNc(k(k@zsp;e%bKWseU%eNW0WV@%XTM`pMBe?Z3e}HyN(M zarDy?sZ-LrB9>{D28pBWjIV!CuyD^c_3gqj2(`l6$^Ou~8o{_EHC!})(mwzk1dlW~ceBAvi@)+ywD zPpOx&?)MG7`rNJOuT%Ymy$_gY%0|$MYE$!Gw7;loRx~FDy@IZ%xB)pQ?N&DlI6{lu zJ2bjS;xJ8QVkf8Xwen8PTI49H0g*4r3-&>^=elkZ&E+t*3M^`w&%<*!TM&x|tdToF zKqyFk0RKK*Y@YaBs9;BkAuW!SO&xo3kCTCfr?4YE)BB?taT(9)O zw!SdH%ePtH*g^5R`O1vC4;D&Z?u{d&qw(_`F9VJDWr4OqAU{wKApskzm~dVk%~ht= zkHui2lvK4(IU;89dxO_ODjF<9Ij>#0;Jhp97uUi;PsmJvvdo$6#^yp_zz*qiHZZSqrnD}4aXYj=#uhb_r91JZI}|BXs4k33Iy?tb09#y_kxOuBlm z6eiukfjYJ;jdFosMFyCiVoMp6uUSWmn8H4GGf#EdOuDbG3WCPDWUl)7*FM~@c{FL~ zS&WH8f;v!Yz@Gr-tYpLGjzE9lAvt`d#ZZq~x1(NgCRK3u#kX$Yn`0fOK;u(zDy|Of zHy_D1I@W%fKeJY9rH9hOp`ich2~*b+&HO`7Sp`d48GVZKR}EY8 z*mP1|+%_}G-ym9GmJ5!K7GCo65O zLaBH2J7^QfcpJ^g!)#DFj>tLtS z&BPG^nk1`gJHrMJ`Z^w!gh{%Kx1(!1e9B8p(zY{BEGijo@1@q{{BHfce)}TjX_%e! z8;HV$>R)5(RgKDhV2fOLuhMh%v5;VJLJ7xiiSexG+e$1N-Z0K)S#PqH)G8ZIeMtNH z52qo)Yk<<*1P6(OTws2x1FBg`VY^4Epx}cO@=V3_8G{Ulv=W0AxL4Q9{=Z$fe?9@c zG=$d$@nZvwZY(S;2xH|4udHS?*X}TUumESCjYNrp&o68wt3y85g0(E~j%B&wRhLi9vu^GGQkwUSZQIb&cNy+aO{v`QUe`Y%0H7r;m{u%3#TyZyuk`rnSy_Kf?(}$)*|0 zWO9n>V~&wIj9U%3_nm%LVdaw4ozhSturHKoD}4V#bB;eMN^7<;7#Bkt87wE;Wrtc^ z@dO3du07&^fPv_HF+Q({sa?VPI^`;uqxSQ?hN?gEbCF(wU3 z7oyMavz-EX+r$Dn^h7jRv~eBzljE-fdK>#Y>J_2cKZO-@I|!TwoRwcYD&Fi~-XH`J zeSIuG{sIL$W$_xU1w2x8C74Cga6p0KcUlA{6jr%B&$S!iDivCQDn9Qz6e>4{VxWv* z5pgGz!0MmAo;wt}IJJ#1%?a1dP&Hk4z5BP&JYAjsjFYs35?wJv<-t1;#VLE=FvFpX z9pdgTMSc(G|K>;UdKqYNZO%k7RY!K=&DS37`**uWB2Ys9Mcmj|(`f7k@nl!b5OC&V zwo>iDChY0Tg%kf6775ER8rx#WtQC%s(R`vx3Io2)b+E~Ry6+Rh@X~wKk{Om#R=5L zv$3qAl!P`+78-P=$1T^MaR0pLQ(&-2+mf=GTc}v*-b%4VC)2+XAmRA580Z#$G;|Zu z;J)4)GsI%g3qEd0YNPWaYC3c!D&W0V&EStka2C=`{RTcSDcK3#g0+zxo*|5clqFs! zcf?KMNgf-X`e2{5qn?K)SK`6MoLfd4y7I44-S0( z!_$TgcAQQS5V-!%o|m~maFjRZ?yvGQi`g?L@^kAf!U)^uKGCbAQKS#+>dVcoR8@=9 zUw_?&XY~k=(|>(rn3oEA?L4ck$gh@PeAb#PDxYTi^*F(W1sQB1qzMT%fDOikN


zuDW``#QvjjiY8Z^YWOQ*H z^&=O0@Jo@i&6hhRc;S*=hD(=$$&Jz5t}(`X;c-vJxPr|WZ;m?|wm$uu^>Chz`rFD| zYikrP)x8+xesl62-qBIuFy`PUj5=hrj!Op(D8QUqZWu>BQ=II{tZDS$N`Xztm6kEi+l%AKJe z&E0WJ36{bc4NuQT)mMT}(~ahWC6}g$t5kpyN}JQu!{g&C+dM1$=wlOB2Q_3~^aKy) zF9DMiXqsouxH-^g1(h#tmA+d0cUzlx)UorkQxQrfU(K{7Ze=emfz&3I+IY~+`o6Yp zKI|Lqum0qo5>FTV&rt=qxDl@*P-uMjM_6Yt)B5^y;!2W?CVD0-Q@m+?Oq_wI`}ICpnQR&9}U)GB7MAW4b)v z!U-95fNlK=<)HcM-#u2aO1y4Y=CFPKT=CV-9)TRP0561&bCYPG*(zoBMd39rAy;e|E%4SzmFI`WJ z;}FIPOAoX7sdCbVt=`%SZX*{3I-*Y{o1rpOpG!q~a!aMM`|s!pQaZYh2{hgIaOKm$ z5))75KfzQQ1H`NR1Bm2XU;egh46JZHT_4R9`9u2Ui`CturdAkWJV)k_tY3)2kPItQ zfn6JLr8UY-Ucb*zHILKQWu8nC-x6Vax;0o`OT_in+x1(muYy6vm2ANaET;1|xUh+( z(2*c}D^65hu7*I#EelNnO!ZKj|I$Ti4w+!l35Pd0GfxI@|lMnf_$v z=8$n99O-3^U?uuY%;07x$|U8rq`d#&@;W|8CWWwks&IWxzSHA3+2M$W$v|fN22s@Nh&?Lxjtp zI)bWhmhEnHw!NkE&8~jTpw|L5#Bf!pji|)o`%bMOJFBn}Ye?aAk~?(=xr34u715&y zBXsKf%7(#bzucmqbhuDv5dS*;Rje=imDt=0GwW;n%;J+L1qvlx+PP~IRPQ}^*w+YZ#6i*3j0*gR$w1n&NqT8mZbYyQ0*bfQ|3J57E4DEb_f;wIaxMaPC zC}`+u3XjI{Y*QIVq=-=_>u0 zg0Fyx=YB76^S-`WVaEgrj8_0#ooO2dR&hz0L+B1cCL3gF5rv&_vNA@$VN%Dd4&uW6 z8Mk#>EAx>VUU)Lx5v_#Z9{ICplnj z1n0<4A>@zs{r;JAkr<5f#H8AeF%ZeGPYyf*e6*cuBj>G?H86nl1Ng$>H8>0y*OW`z zV2KB)?N%ceeL|37K`m&hPDfMojV0G+^EaiaKKETGst@Mb-ueghsh+YY!!ClYsG=yV z-BSdMy;Hh#y+B;!6SO6MA@?%=+2yB)&bVv8rj+K&IeYS>$FZ%YPBJDlIz&W>$B_Tb zwRET2dNliRp%K5`RPA880_-?cxw*N(`v#@pnKOCx%P>p+Q@Zd{h*u@l&J6hBmtV8DTpOe@bK*HXH@%c z?0b=Ux$4ceku7ZLkLP$1cGr2kA!)ovFzx|E-L6j32%cKy$Lr zJDQu3L5Xmy*R>=~65^)XSS>`POr=_ErC&hP`_@QDEmZWZSn##>+G=;8tRzZp?HQ=` zE;d4JPf~Gtv81c~xYn6I9PincvC3k0w|3IhW5TWf3T#|1usx1=DhA^NJ=mY!p=v|m zuZtvh*{?nW$QOM8?nG?yZa+&LCcQB7ckRcL^faOA;D4VpvugOHykl}C6vie!RL{!H zc!?PxOz=WABv_ifo{UbUX}(m6n*v=cNcd-4=PO&#V5mS>`{Qh<^$b1hrTpvEk{HDL zhesy;PRQ^E2Te)ChC9g-o@50(f};BtK=&I20F4`P$OrHP`sL;6_vUv#Hw-@Q7N^is z`~FPnyc%-wPZK-DDymh>ee4&&*AeDBAmkGFOe~PzdW0SMi){20pQf2u5(Oef zlfIJm6M(W{eEKv5w4nZjzmEd!GALVVw?jx;^HS^;%2Ueuzv}+gkEk)(65@@P_Wo0= zTzF&XMm3Exx)ym^z5WsmyFy1!x*AtWHxc*Wn(M{dLg3xE-=a$BKcVxf{=)pl0dS&Z zsAj5=5tXv5D=RF%4O21{1D}v+aTGBNm=Oo%GvIuT9I9$Q;!5kT^VV-J6otKYE!MmN z!xk5%}3kRKPe!x5{X4!>Bf(Lr}3!fpZRR9um)SR zg0=bLnHZ4p64q;W%flDkjSgH|7ZT3#>@jF#pu%@hVUuU#;?He}{??YMBq~(mWD4($ z#psr80W8AqWj*h|h+bRrL*|@EjC~fvevqj&ShIcfPIdWBgn23Z#-6Rxv!hyH*uvxP zKY1!W)l=%^_bQ;Bgl;Hi*)cnCOaFMhIE6i+*fJ%IR>4&tuyWf!DyKDk(f0dQx^?)X zNEe9l`@!ap<2#cI?Hgb! zC5bg^kqZA?8$Q@e+a&npYP$L4;2a3J;(L~&B`aJzsJs%5@-2H4j~rAL`jzw6>tG@i z0+svj=m5DZ3c7KEDc8tI!x`=G8okRABh^Y8@GS-w@*kkfcYRRR3CNAr>;R`B0XQWt zg)E7N?}bKlE9z5*OROX(Km4gq7X0P|G0~zeXlof{Y$mEXeB-MB5i7XE%5P=I3XD3{ zTi$T>aJWTzh+gk`0l7@ijP!7=e9Kt7;>~*Nix=2D3Y@Rx-@Si^T+cr9hDx?-bZa%& z8dS9UyGLO#d{1zG9`Fp;+JROA?=%8l2RLeFiVOeOCb=L~UasAet9fJ2wV69(oi{GX zzq%GBc+q+{1Fgv18VhoeEo;r(7{eINoq(l07$LO;6t7@71w7f8d>S!l+4ScX88Cze z-2A{pNNWP%*a|L@lz4}5(Fyu6sK*LHHZ z%fT3bDreD`F@`OnSw);CWDzD*>)gCx)NIK`9wp?n zYYSAA?@{~-NH2^3dwq>E_k{q(oe7|~0_%6iE|&S4A$Sp@LtL)1>jYi>pRF#gszMgeS1BQmzpHNUOJ4%{;*U|UYB82` zx03<9Z%(U%7R8{i^4aQaTFF&kOf@@Q(R5j3aq<0!_+b3-uU81_$qXysu}~(L1&VXW z%`<>oahU%W3C5ar0KA`mtP4JEvj%!|F)hz_pcLh(nq3TXI5=532V*TB+4A8Bw}!vw zpp^!BF&Nk04SRu&OfOCR&qqk@@M3Nq9xV{_oO%ji!5i>Uq4V-?sxJ)l$kghY5<2QT zUzs~H^0?!GPdob4j=t8W*0k&ljs%5F`B;hcKmZfk-1=N}5EWfFVN z^)=I#Qw%KRhfj$_6I&WCRaqMOV1k7BzNRKUxo#@E3DAB#FTnaYU5hFVGzTv1k#2bp zH%_jq9>+1gDrmY!0ZJ>IUvIva4Fi{j;7cgrMI`}Ja1211QGx@wiT4t)n_-8egm#~j zax&DXu|~s(kXiV+f7)Xy)SN+Ep3USwPZ)fw&FT$YI6p?!o^t+C82$hUPO$L6)opYE z(e3LiD#@B<2HXdsgt$hzzMVYb3GTtu9s+Y9TZayazHc4O0$w*G`at7@{K85`#;r$^ ziUD{2URKWmZ-!4kHa-;h$&0Y$WD++wHv%b_!&z?72hrYVgk@AoTjy_SDz$IX6MQC zy(ht6)op+>Q(URwJECopNc1CwByyO@} z@)>Y^rXZx%Zl68AZ)rU}Z-|JNQJ(U9p@@qQBg7qa%@j{Q(z!lKwXpI(hnD_BLVr58 z=kC(zI$Qsu5|`z#KI3Y|z@!kV#qa9cR)0(8<+V=Uzba1pu?jDj5vkMJEOSp zK0ijiij<}?)9Q8ey5i_3uidib+Rt^R`A{x4o-c7IG?dTx2$|elix`MIJ(W5S)T)>m zCBlL4$tk*dm?hAZZF8GyYqJC&A(8b2)9sdNAgkBp0IS^Htup@s0n0&0N8jAsOuk7p zHZ%V0zH9lX!O5x6w+wO#O;_G2Deuem9ib(E{=T8G8JvR`Dw{*!Aqyb6&{~mVF)f#5 ze;QT}T`Kf=evz(z=>`4SBF!S&=_Vo71z*bZbqaBhXbC4^7iq%{u^5J}RhG6FpxRS{ zwG6|TfDstJ5B*C>Ek60*Bfu^`6@mfensJlMI{-2T1n5C%1fkRqAy9CWjarZrt)$a` zpc29#%j`d~8_iYPiqqVS8`qCfO*7d)Pw!d=T>yk)_0@(oDCcOw9cN}0mIrqJl8$Yjy<{<|1t9 zbJvf!cGr5OUf%veH7A^jFK4h|7TmT5aCrdt^gTAG2VO@jAJ_KEZoi7;vB?*e4D>6k z;Ys>uu9(0$QNQ}O1C(O%91D@t=9{Uhm!DnL?30yt=B!lx#F*a_bZ7Hru7omtjo{Wp6_16<>{7Pg;vG zk5K@J-={hFLawfm;~=lK`)Dn#FDlYQ^h3_XZN&jOZXZn-8( zN~xn zptQsa9+f@-P!TZ=&8RYGdoMV3jshsZFHrMDMn`Xe*1LP^6HxCHd>!06|FW40XNS#c zn<94SDr4_n+K@(XVqx!Fh(u?@?xg|3v;j15sqM7{Ckr?(w=`qdJ*aHPrqV)H`lCMz zL&%Q zuWG-d00T2tfR97G8DLZV_3M`pUxJ!!Dy19`{s^A|b@5QbyXXzxTgPQTjT} zaX_+0bF&*GM&-R|duMJ4d&-D(6RL)aYJx5OWUgHN9y|#rT+Wm~!IGqjJ3G8uaYQZqyP3O>NJ=~64BDepR%;sg?xM6bdJ-@ zpeu_WG(;?%*Y9N&@E;LGc!1}&s-yvIe!yuR1O@e6XRrha?Rx_>a|oh$We{Urw`hL3 zwx4c^Qcp_nqyeO^FqljY@`8aopIl6308?j?qA&}0o((o3;t@{ClTY<(k9XnCLl7R zDf$2h=N}>}DwE?K1niiRv9FR}0^oSR$2@_98Ea&GyfuhK0)a0zZw3-y%ygc9r)&lg zS5SSU128ZmDhFuEBEZM3Xi+>WI@;>%F-1=zQY-d3UiZ!V7!g%P)s6d?(t>jb#usNn zU7PJwTMY0s3-wGqJm(M*aSz}5^u7$W8XI>yq~8!n>72J$1?R2|2wx6=>tlRRQa4#s z>mO@xA~)x|Sk|kHi!o#6w2pVc)E9(_WGqblKc#+bOQx9JfL;lv{N(Nae>l9`L4mqZ z+GYlis9j9T<1$vY)JmbXY9gv|;3c!*A`$9+_RnffZ#+|4e#Dg>Ka`dxZ~U7YA1&w{ zbAq#oI_A6eR*jFoM0b=u)m4&5^QAQQSJ{^HoP{l8#LlrB#}K|8ty)n?K9#xiyy>J8 zAABRC^=Dj57*sV?p%O2X?5Yt&0t5sMawMf@WZ3H&ffo`8B71sz%2Q$C;jRF4?$$U2 zf)W5|8Zb_^SxEs=Z(}=SD7ZEYi0_D>8M9EPCMD6Me+_L)L|VB2<-2`Ef=wz#KDJk< zUb3$@M6GpkvDFrB6)DZ+2dPRPIWMjCsl>&P$Lxt`$P@2G1+&lVnbi$pe5y~SIbe&W zLCW*v-5y`ARCZ0N8nQl{9za^0zUG%|Gyc0Yi4MN(1Be?=(G706MxGo{0v7-Bw4(r6 zM<7%~uyiT;9n5>eus{HX%SNm~YIDbb8oSycI~A9LO1G(q6jE#u1R)`8QpnOCPw%}_JbYsX)nY)jE0}F6@t^M_1{v4f~5=qx3GrC zP-qMQ1p~03?hvPGo5H`_t!T6YO)%hAL9zi~3;8(c8Y0?F52|Db30*eUYu?Z12F*l| zmRBAv`)Ol5X(L+9+RQ201%F%E$+Px^CYwYQpxDTti=Li3D=gwFJ`j9%#$Hr%UdUJ_ ztE>od19lCKoTH~^_Fs%%i7j_lRcH;Zn+zW=)!iH%n%N{%08W)k;O~7gA7lJvsH)Sl zL*jo2sHxuOxi?f{|3?}4j#fGX38a}ID1aa+tFD#f4#8=|o0oeFXO(nUcnGg&VOX=8&u zez1)ck9xUr7kvV*^q;|FH&bd#XVN|R>|)8lUjVlL3H@#QXGKS=e)5#=(KTudnY8?++9>U%A|E9wW)yveLKt^5T# zonuV`yvHgL{$xxLiE!uBo7x3e6u;1fBA^olPPF%diw0*d)^}p|svdgZ0TATX5~ElYxIGXahD%rY2`JanfPx~V*oo$rnE!DV_Gys6Z^ZR ztxppR;uMD$YWM8=JK4x)=Gt6mwyg6c&r>_3_{P9RtAoKa4+x?AD-(=Py)=ALvBPVC)rSF0M2fF&$wLZN%u?V3L<4+bZ752{?}eTgl#UOo z({b0Mf)GwTwouC*L0uVFoj!}fpdU&Y^-R1KK0ay{S9SS>tgLRwV`uZyENz!%ENN?O zjSZ`*x|KNBW0aR|Cx37<2gPNJ^_Xcc|6!`tyNA1($Y6HYY$O4B78dTV60mF|>>3Gz z1VvGB08MoVLfN4Q02#Fa=@D&bgKS=m-Kmp-7pbDKsXtI*y7rjo>*|iGVJ2|GA)Po~ z@c^LB%BQhmy*CA4BWh~G5O-MWpPb?KJ?E>ZXm=}kvE)l-H50cS(Vs=$p8dWFKGpU= zb6ttYy2SP@5%UcH_O1TSo4Z)4++5#t0h3fO1z=~#1&u?{`PxDxaUkN40L>UdWYw)S z9sm;5U7&{J_)a@M$j7x){d&|Q1b$ogfpt_!^ek!5xy{iOdOlWL*Sj{Sj1GEFOtQlC zf$8B~TO+9)q@-+dmF73&TS%{d3uOUC40sVafaBB^$lQ>=ex>ePSnwPe1oGP9Rc%)v zkeC6e@sGMdt%-<%8A{{asT&pF0N3JO$U^kkk|js4LKKD^Vz~n?9l}yzxiL`L7M?sf z=LVfk5m?GZ+{;^T^_G_t$o!7$dlsxJdb?<@2;)fGnBo>g{mx>MW48*a52JYV2& z*f=^We1)Or?UN1!gluzCueY_=9T1+M3kMmGWZcCBg-Y2>KTk3#@ZCbz?+g-aTzacS zIu1CpKQ96k7r=0O!OOx22wFh3W(_Pt{OBoz@Oli; ze4ywqS+CYAQhfy!IbcqH3Tkm4z+OfINOkU8+Ph5g^Oqprn<#Jgkw08iK2N zTv0w%h^&Jt$2}_G;0hbg5VX`c!0e`!pneT-GNu%y%GAfNWJ2sw#XCgqsdmmsiT9rj z9xR!roo_kFV4}*$w?oLW@Y-YjF8vU*aT!f%Fa!<)V(G)>_6z`DM}#aJD$N0yzqiNl z0L;9Yxw1t=wa(;McK!~Z z+-K#FYQ=g(MO zU?QxjqT<;AR;mT>J{N^bNpvYsdAT}sWic%M&pRsV7k|SDLM;4^%fs0ay?jMrCgdVT{3@-fh+^MmQGh8YX@Q6b-YjHec z?gN;FWc`GBvCVHyD(w5(I!5sWRpa*4rWt#s&A3Gwk#TVPIgBNJMn}=&BB)cnJ8MjPaiuDNjY=9I6hd)R2pUK zSqZ(t_v(cYU%m!7t&!GAho4YMPl--t~q0!tn?Rs%73iT8Z% zjr8FviqI!DcffazHe$jC*P5D2;Jf#Z7jrBkxDOmz5|jjhOF#Il68eu zI@hb96JPlpTndN~Rs|>3DAgj=SIFoC0|RXrzmyR%42ZdiiksV&(el9|8EhMERtH~> zd*ef*m)?7g09FzRc6iUaSb53qpx3aF=oK3#>ZCJ(%9d#yGP_={l;E101rmf{2?%UV zPp?hcjV7=!b|QFufa2&8|Bx`DZ)U1C<<%$aFfof>o>Z~K?;)MJ?4BkkukjGA+=RHpU# z$+6jc=AOCg_c3oJ3Q9q<2iR9ntGx0Aurcbfc1k)_N*7b}gp%ANXo!N4%mW^QW^Bsg zp;&(5JqokU{HD%LJDAfvQ5|;Q{r!8CCit!!RHv^BE za+!j}GUa@OE>NkCbVfGnS)< zlI`<_f85qNo>&sY4VMZhF#I;p+nPv88T;P4V{WJhFd?p6>UMKgeeCSiNKPV^nXb1c zIgv!C?pYoiX?ZKC{Ea=#6azV-h7105k4%@VHf8D&yQ-(*l`n92ntqIPl0 z0!??J&-Ic;t#91JDw->6rFWpZ@FeS*YBxMx#TvHQSRo~$d)4BIBGnS@jbqcCuV39s z$g=8{p(D#5yZ-lByqbRPzP^lPDYM<30MjY1%r84ti|Dzz3F{42KmxvhT+aiSx^5p z1rUl50#L&G*b06D~0l_cnDBAbT{t*x{50_%5H9jWcjt=A2^R6VHI5eimcj-fg#2*VmxAhAjX-Awc21&p#!klv z`TZek_gF0`C(dYVN2N$hY8w zQ=K=(oTEU*qN94)w=Pr;dWi)Rk5UfUa5DOG8BZ^%rYJP|EwPkXDn(xl6)E)RnH@3! z$tSR=wt4vn)c^J7718vn-nt_Ly#mA;;J+^(V^EA~PH4OubZyPM^}jEklraYc83b+) zj8r!J)f4qw@RB8E_>&`nmLZv|jans~O|iO60=O^S#mbRbx+CBBpznze#61zUe-Y6meZ6p`934fc_ zg|5EoNjz+9A|dZ%HY8y0l$}-sEe!We;qtq2c^ZR%oMEdy;W*%k7lR0w1N&yFg6T4M z*x33u*@q%)dS0iuqZWn3j{3d1sAtgkEbp6|nh3HuaMVWSyqv29W{-u+2Sj0p6?g^b zL;^2e`LDxXhH^mm{zM6u`{>V+gd|4ERlMmArNX*m=}eC)Q(#lD^xk(OVJ4q29Qju1G{<*f?*XCHx({qAN+2Wv;aUTk10LXu$C?-@)R~)OMoEH= z?z9ckDMVp@kG6%-w6NOO*OOUs_*+pl*-16+I1J}Zv|h3(0w46^(HD=HnUT6M#MJgJ zMOGQAIv{wuD6GW2l^=v40XsbAd1^vK13(4_=NCM@lgj<7n3QJnU(JPhzn?vOCR`_? zi1*PFB6n*4NWIU(sy}5kbl?A6DRs22y(*mmwr#WJXH{j++ohqkEG{p@lHuwtfSyl| zi=L)Mgl-UM`WQw1r-RxYL^AC*?zGhO0MmkDt=9vIjxJ(tW9dJOZ{ob8&s1%SMtPYW-A3 zgd?&I3_!MP8_)KAVV<-|1q@`a z6*uaX=}vuNOx*uEVWp++g3Tq%3Mb`EvxlXiaxA3j6dWCuRXC7+1Q3cDP40pgW0tHP zQ?DqRcC!0y3%`{+e)VRdd@~+u>I9p5TN2W&et@ko$CmWH%9y7KdHoEGop_q9)mgMX zFppO4-0j3LqzOSa`AE`Z(vp9N1^AR_#KB15-#;q%^W>)N%tchBLdoPI>3AJNSRA#k zu2FC9KgJ87*z2>jjuzBrRT&?bv!wM4Y(VX^Krc9tk<&lVXCdz!rfd-sFR6pcqX`N5 zgF_OHlY%*Xe4Z*qlc;WntHV@OJbiy>tZiDz{Vi5s-(weV{3773{_pEFNoQva1*7C| zg{>b2BQp=%Ls-INpEM4^2Qj3nF{HU!b^1^Ma0~pct3IQ-9oXkc!_tf98G^i*dhNTr zwZ&Yq!!%X!cg|qWYhfn&X+yc&Bx~d?JRv&3LkP(VQ879qDJeFXaYe#ME=5{r6X(@x z__OjS&JiYaYH-d$D7q5oWsa!m6DNh;+=kEbsy;~9&p!_D;q5J{vslgrMJt2^wk-tH zIf16bl2xc*#>V~=>QGVwryWz$lC~|&S-Zi7{?+EO{7(2SyP~42k1&0XweBJMYOa$8 z?vcKL8+tl@iWQgA76ao*H?UvMG?HGzp-G%tbfBdo$Y=Ou6{OxFvOO7rs;WZQ{&Eh; zFtQxudgVaI3+SnCm`Q;FC^m1pAIamQFH>*zm1K4e@U*%g-_0QLMh2EBF)}d{4b;bKRbkTvUJ!zwIs-d< z4A@V`KuY`mR9Qa=5q(2+XsD_&?)z=tg9MvTTzvX{clHM>=}7bB+Os_!^hUd%Lf@Fk z`+luh(b|^naB-hnUL6L0+Q4#ly}$DYhpc{c=5K~YlhtRDc-6OVdySQ9l7CM57xYMf ze!bUpdLhrTsXl51Z+kchkuwnp3k3}b)+SO@r`l&OvYEn{v;ac^C^hQp-UxVvf*q~u zC3GZ1ARc(tUIbjbi2pt0F%3ACef|11qG|Q{bA#UON5Py-&68zThu5X+X7}8UA6((SamI)q5Um1jBB>OqFJu?dBOQlV^HaF$Z?v?V}umR(^K%0zg&H&^Il$4(RD<9V6>I{ zv;2)@kTuUC*~%aal?3|qI!aKT4B_K-A6GUSOsB4JVi`2F6pbtPI(4N#%WNAr z_n27EO%yZ6Q_ou~jTuJWv)zw(cp1Ep_uLtk3TVu~w24L@9!dyiTx8E#{Wh!&t#S%4 zCE6u;L@eH5z?2*zm{^&oZLd9>L%uQmQMIC|Jd#22Q1$U?MCwPM?dOto%)1zEqW;20 z(07t!Qm(~YTp*^gtxa^k(OC_+pFv<&K2Y6ciusc%CPG=Fx|Ck^Rka^zLNa!B8%PV$ z2rZAg>5`SqqO16fASu(mP*Vkknl8=HIi08>U0>{X7YAnPG!q$0OWl}R#9rDCU@0l7 zs%!e8Sfx-u)H_q+n812_Hmkb&?zb%6lv#au%i4c_IPEhr_6b(FmkS3`u}{XF}47vyU6gTF{;Bmy#FEP+M{n2a?)L<5MaX-*MX!{j)Klrw> z7VkOCJVu0<1vdR=P;3Av{Ccu zEn7(RgJ^eWk-Liy>+TA7L}D9iz2R=XhYVK6_kn>q8H@3tO*cF$VbOI5S2UEDIQ_JP zYrq+g34y!?2Q0){4@@ReT|hje``@E0wo%$@yh0yA&Z=4AAyfS=-RXtp3S7CZ>aTQt zep~APwA*8)4puZ9^|AU86%H%Ts^uo$NqOPFXiyW>ALfGst2B-^?86rDaa{2`Ho_3u z#tXVh&R8v9_2sB!X~o2!gSpH>CIX51odoungoG0sWmM;IX>jjMp+v?WAPWp}gLJD* zRX}vi2QYsINlf_wzi}FkuDbKpP2XEIO~=Vf>!*eEpeC`69j(JsID|!)1-AVO{vM-$ z%S0Vg)|!0q=CA+v;MOH1!Z;0=L^q|I-;Lip4=!jm7AKk73~3LiH+03dd?FU3j3=@A zYTnh1kQK=S2r)5uBrdL}g@O4eW0+{~zq@{LBPS&62KkVRuU@?YlMESI*;9~7NJK#~ z2*SSR+Wi~pdkJ_GTB6MK`n5BvN?EJMd+Ch+= z@UI@0HTEI7@doVD?#xxcc+Sh(N%Z!2SC-SPtKyM4riIIk6Gu?>sncj< zFOcXsE0g1L5x zEv^xrun7xe!FTG`O9M!3fq`UVsoe!@rF#d?j^pQ#D36Ec^c{s9ln4)TQl;BFa6@xT zN4Tx5BDHm_=+nwh&+NWf%HI)<>Al=E|KRfK=i<2p&6jTOFNW zL819A{9z{jt_P-y8fd6GDJO4&CTtn8%q4~Xl@`+uC+60&)7F@zTE@$b z=PcvBTKkq(R6?LmqV9%vYFEL>61uv2&#c_Fs@jSA>8YA&&?ACdns@MW9jY8Q6x8zG zG{dl0R#o*L=&ZSbYJ(iDhZ2enq22CpFT9U;rq1w}f$f#eQ$r2Y0D%BS7N1Gf7>Q9g z0Uf0zj?jqjyv|Zbzw$Gk^9ydjBhMGWas9ckqZr6k)~8t=CX@8xj?PV2aP$!9thQ*O zXA+!a?3s$&zJG?jAD~>|Sn`x5C?|&^Vvr3p#jx|=!&t$x@A;zCW@~(_chiAKo5*MX z5qROp)0TxCkZuL!h5L<)i;k=&jK9t85=UBsjoo8PP=~geD=ElvG;#cIH`VwORVnTi zrP&ylRjrZ==+NBu!%Y5FPA_;xNtEgH;#QkNiG{W07uwI6UVLp+iOMZ?+;zg)_z2gz z`mfvtd+*1U20Fe|1YY`=^Cz6%ar0zIPOiUoyKek{E6iUasuhAekpXL897lSx^7_(B zI4Q#?3Rks7jSXn5N)eMc-r~utNi&{z>dxYlq4`y(%x|b+AM;H=l%e zZ(q~EQbPN+M6h;3{Ll225j>hma=ifJt~vcE)*cS`d_~XVjXH&K6T@KGm~y zRJTH88FZxRHq>93P}**;lqi3RB0aLaAxQMBF?E3W1)QMbi81-iW*0;}%2zc4F~luA zrc5*4`FRtuKecq%mHWEsZ|^MQ<`z0NU)EK%id_BwsSOj|2pZD>__|H147k~^g`bYCj1^g9Qp`-T|zS=k&I){Ua*h%k8WwKP1X$;dh$5PM5 zi-gt|vwCDxx#BK{Put1@6?J~mM|y8w-A3;5hriPpw5m%uZ~BOt@?LxmlIACRY-NF9 zb!CY7-a6<^KR=KAbAkxY77T)()D#8UZqZ>sxwVc6rNuNYjokiR=ip%rv)z=pmX#&N zb-@$pWX!TM!&_|h0csuhTiV4ZW9h!HZp3T%sEiul> zlNBLSlm1MXytl-4EQi{N^Kr!Y%pAsEn`3Uwe6ik!K2H?wJB)#P30YZv)GT{~$l2Dr zlBZCta6gKY5KD@RP7*6*6JvF5pR0FBUtzIlO3?11<|Wapcuc2Wn6YN{RkH&_R3mJy zsM)18QN_+9|L7w8MV{`ca>bMN!$#aEC@xz+s2uT2XE_-oyN9zRKExyxCx$18#uwn& zmh4(d_r$bAz~FtEYHhh23dcI15&P0#`n>U zy*5hNT{9}r0KsHgenE;;BTzW3Zkc2n272F-fa7C_7%e<`ECzW+Je|In)*B}r^^kb= zFkLctV0mI@0h4wUL5Vi?B5^gRU|&Cx61|4)F-mOk`S4; zh^@p{)@!b9;Sz@B3y3O6Ki2UPb~P3sr2G4zcJgtCu_m5#MvzOZth9pehi1hOvFf&0 zSN{C}6~aC6L8>6A9NDVu1OEMjmC5WzM{-XLQvjkG8*UFxYpUs-S%GMY`hlP7Qwlw) z*=H$!ens*w9H+A3TA!r35pM_O`_Su+qFd6ObW^MGTI)K?$_32+ z!X0WRIG#AWhimnFj(7*wBIr#mpX)b?ex6z#29@J!>3XlV@&{xOsV`<8rANM+V?kl# z9r*T-qP~F$KaBLo)rOH^31*{rf+h3X?UsSc5 zp^B!Kw)@j`i|!QHcHG0H*TA^ffhj>|66Y2bHM0@vLhFW#$W7ldMQVacynvc$CPv0L zHI58$;nDK&5NDK_xQ2j9mKOIyzyq)U?8u~~Fn|lS{`dES=}=0Ijy!PY{xeSMx|3d8 z2I-*8+EqpKN3mR*)*=z#F^$#?pxb6*Q+crda1s{#8e#(b zv0mAxqhC~1qG-fvRZRu2);vlUqu<^G(r@^#M5`5lh1G-yinKmG!M52Q-sRWn=Lj%= z8SyiX2v3DG(2n80wDbjGQUQp>70}Q_o&M`tLKYR*4u?`DAPE(-DerrH(HZt8IH?(c z%z#;=#Fwd{>Lcj50>Ih}vD}6QrWqC?3nj+bDnI0qoB+uCMk2Na)$8OCuP)=_a>C4F z9nynsV~{aIQaxL8=`!TvZCpRlV6ztVH+1iT1ASz-B4d4aPLEhFOJ1XI|2S_7A8y^F z;Bs7RxnF#(_&?4h(ycTT4V->%6NvgZD@sRK?4K){DrOh1>c?Pr-#2{n_ zJAQJ@+OPR~1GXy~MGnRFuL(V#1k0o4c1UsbsXgF1`=Nu3NS!D!hA3DhX|B8jdL77_ z@jmW;f=uE@9zKxQJ0(|8A*yQ3gJKcA#%i23u2-#FSt89}=1@^m(3E!6Z_ngYEGwg` ziU+lTD@jx<`C}{2yZW8zxl6xnKPr!YciJ|r#a+S4g<@1O*C#u#FD30^c{_bT{O8vCDv_zKBQE7QCu=5DZwWJjjzv>5;sIv0c7+eii)%N*%cZjtQ zzKGLiHHGg1gTU4_{+^zmA&YW=$j1bKl$1n(dklG4?}r@5bVOE(GXK-cq1;T_z!8{V z03~!3?1(%(Jdo5@%X@7$pCB{%)J+&dUV&7Pi5dCji@`9(E8$;6kTA+k)FNs)g0-^})}Xt>jcJbDdu zuivF;))|=NUGXoRd#si&&J{?XOmzMMj-~K$1w7=m?3k!!t1>qh$kah!oY(!my#4mi zcu+o;PimmU#x?$X@KzLMRp-}u2y1y9PPg-mjc+GlOoin7eGO~x=pdw`8UPzOqhbUp z0l|CmRBA4+(vG9PJ~;s3$?MKw;`kQ6%6jmYzhdrK)|f?*k%g>wFn?asOkEfo@^*nog{oKu50JQ*hc6^P;G-$;UOraDt;y=jTdv2CBiT^=V z-<@JxZ2)GFT9wnn# zHOYEb{%*oH#dL2z4v9|hFDG-3;aMZ1ER7qTy`@iN;>pK#Z%L5a@s^d&;S;=QBU9^K zRbzE7L7cB_J&)o=cY-d|hHKjI8`P-)90OY=Y zt!DBwzBrG!aY^UJ`uoyEgHEhK zti|Hi>iS=KjVW`Y+xXMvf5J-J@7zMOCJi9zyp4_R@J6kq$xTj8qFQ^5wmmyld=jv; z7O$R=#s#~lU+n-a>+ZQs8XEfS6goQ7lJ7yIrQwe)GSh&egYHOyT5pxvwHovKcyjwM zDQ#7`x1i0w=}g~-|EJ)pgmf&2m(mvzXJ3BP#0s)D11O$tOr#@-|# z=E>GL(E0$Y1gDlMAOMdt4JPwlYY1?Z`?)yTQ4)ZDmg$DN`-6yFZ9KA=S$d@X;pDqu z{-|yuUq6NAzNt#MvQ!HZWm~(0DDK zNsX^t)7=0^1tF26aOT~GloC##;66PpY^TIu`vEG?Nb~(|#AZjaYKlXa56*Yf&`~;%1xX+1U$|+QNwus4Qr?PIyrsK00tfws4Dx zru_^nfX8hscoGGjLk|xDo)sE>BqWpw_|TLV(Fb&G=J#_#y-OK3#*qm6*xHAYQ@o?Z z)Ixo4)*n4ud2xCfsJZcr=jBV9J(OLZj&=?k4tncI`2;=9_D4*=(|KP41{vIaGif6F zMfNEtiKd7*&3b?G>un|tugR)`U|lXnhUdS-P8js4r8Vp7F&FoYb-LM*i|saEz5^d( zwM!sKhlH4z6S4a8Mc~7%fSw%Ylr0-$W8uHi{l-?iq_%G;pEWL-J>3JqtE(qRhc0_6 zM#2YmTo^S1)otEF?s+k41np7VZ%k>XJnEi>5cMZ#h)+zFG!GyBxQRfVT>tpK`dw$@ z@_O~RQMBouWvZ680jJI&U4>1@3=pcKQF9(s{nz)ilE8@~6Y+Y3M90R4b$>rpi5v}g z^yiI9y6v4ptAl;|*oTqbSojGzq88IRnj8H+1}a>c`1$@(Iw{BREp^RH5@So=Y7yQK zGfq|Ry3n_HCiD}Jjb0I3ed6Vfn}w*0R~N7LDir(*#NXhu(Fm_#I@UZ~S)kSr{_hxw z#lpK-uf8xboDG+wGXxNu`|{q-FE`kMZQ$HNK@*sA=c^{lOq*mSLO0~W%}_NwRB;L0 zwZ1852Ikop(%o1>LN#9pxqA_BbWyx@KN$wQ6V{1aQ?pPA={2P-grOc@Rgt>+yYnLa zRz3ySZHWKv`nE~>SMR5Mu(b83gI8X!-nsIm?x)J_(&qU`eBbaWQ6dZbRMkndL<)s7 z3SJ3?o4Y$OPD5y=0r>o?=kD%)myoapT9!d|J1G1 zwdd#6$J71A3UE;cb#=MJ>b;|^-1x)uPyDZU-^_0}CSOD+9#gc;w#E?%H=CSPn8-;M zwzg&ls=40y(3Hyebo~(SPJ%!KY^h8p@ra!FKVnNbbhQK-+VA9_Y_|;Bl9J1#3Fs8_ zb4W&f|4|+N7;9V@D}w5+jqj!s&zGazbE9#}0nzO6qw6Rym)Z)sTn+suZnLLLfVl!C z+HADiTmI_a` z2%!zMM`iCWFZ-pD`31nJjIAbmZ-JyrfSXW7Ipi|~h6I1acdj185QNJrCf{$is;ZVZ zGiC3EzN&TgHaJ?d3VV$(sl2H_P+S@wmB5qZ~us-IVX+gPb4>{zLh_ymK(sO zv@PmR%uiZ9k;*l&JLLPht^dDG#|xXT0sQA?fsBiWiCGFR;?oYYht_lJ?UxFhv*%_Y-LQh2_0(%~Tk z3apRk#u?q7HmS1w8$`S3L+4l16V@YGYqi1*S02>3e%c-GDwoSE<8Bt0lF#K{(5Zxf zYxG%O_BH7*e`fhC`*C(vbrlEW2oFbMJ{bTcWo5Rgp9mxi(QkZ+gjR%1zreWA5&T+Iaj9g#gd`kngtx0&VUuBn=*osLZeN9(PY-wWs*8PKZxf zCb0B&_q|>Jhd_J(Pj}Q0RmrPAdGw3fQv)<~@>bEWmcmapa0@@zV5pN!nDmZML%{)~ znvb>ardNNLp=pM9B?s?{&*CS&*G2oeu^lkGPr&8h;n$ctm+P?+odS`hZBl>xjmdr{ zJ8jd7lDl)rMTAwmh}T~iUT*aT;c~^xcS1t{+HTLXKPJ6SW-zbtw^AxMdz}LcS7D&d zS>gaS=LjiwZ2ZOjd(mX_U(?0aoBhAzqRf(druQ3J=9A)RA~7iB+R>DZLtbwQd}X{7 zBN?(Bq`_pNr6&C?3k%=&W-1+^SvzjJiO;7@Bt|*ONRu%TCsA+c&NLxuHkqHu|L0w~ z+?v#Fef8+(OVg0S01*r?$^@3yk9wg9##~>~SKPL*_I409R!VzzX8uEq z(P8L&1Bb8m*RTGlT$l{H8gaV(J`+K6d0MZnC`)}TE~jm=E#pYS+&ZqGW6f8v!nev9 zpgv}y^fKc4@x?uqGD~OEQWI(a&f^qc(AkKcFuZr>!49A`$1E=mWo`$j zgAz$By;z5d^}{cClVzHQC5jF;=_vHkB60JY0K6^E3IvP+e=s;Vw^+)+C;#MH^VX%z zCV}a${|F9anVU)e>?`x=WG2DOqs`5M{;!1@&_kP%Tt8?s6E366-u+$Lm>zrDhS4_C ztaZgMS3OiHz-N|t(Fuc30zT}3Hj06GL&t6?Vw1hEU1w)mH4OkKIXXIm3b*r4+O6&8 zC=KRF21Q2C1nyXKynLQmMr&3Jrto} z&0TqE<-O;*LI5$`u=|8Sa`T(a_=P;q*%`;$zuGWH2LkrQ<-D&ABmXQ+2hKoFlz80b z#@CEsq^n(~T1|?hx}MxW@Q&#w8m7)GyP;pd@Xsx2sL5FT4LrY=k55Z%c~qZJpaebn zO*5HmtT;cfUtOmS2zR(1OnIjxM4p}d*yad9xFV@0dq+uECp zPenDyLCProN^f-WO}*IQG?yjnk}^hD|C~pvM+lpk*vfxr903ZR8XoxjzXLXb&dxbZ zQ+q)zx&KlLEmj}F#LKHP_57D+fSV`QV%ijZo#6b*q9y2>e(CZ=RVK{hy zI|4y$4CC7J&@k}$hiC$*)T_``$P(5~7!$JQ^`;WDXKyUy-Zwhw?eP9Hk9sYCpk1Jd+uze#Sd-allYQ?#+1hKiStjvfv8Uiou5wh_gH2FtxRQP2g73;={yaWLAb*`N^8Fg}=Pjx6IK43MKJquM5FL5e!Q-kfJhf^b z;n3@{?QWR3)K_ID^{zZ5p&?^sd0Fgb7a9uk66XK$TC3;Bs{DJiSj_MUi!yQywBVMp z@}$TN=)pe%Gm)R-sTl!8D&#wPbVob}TKu#r|6K?1z>wLVu|G@+e;5U;I}GYy5?Xn+ zpV$4HTf95`-CWMzzdc$2qwM!u<3!mUUuzA!Mq^1SF92PtJ69bJ_ZcRl@2=gG9DJV~ zN?a(JIvO33e0}qMwc2;s^kqa8(^?l$gBbvROCjVE4j~#hi_AyqK$6}M3TfajEfQK$ zI=qqKx1yO-+FtvK@p1~6wSfJqQ9gOS+^Lg4QS;NFAD@Kr{ZOtv>{nqnF7Ch6i|if% z_ApFip%!vN7keBs%sZ}u^AGXx(TOP(zuG!8D;vCh$Px1mF;kP=(4`|@)`x!@ zVZD0Blg-2kQ|5}c)EJ5PBA%B;$RQ0IlNkyOaeSIdPt13GiRv5r5_gw(_vxJwyChwF zIE=4I1!|>LXg6Yx+Wh!hF$=c4vTWp4*k^8tiA{iI0MqN&KfWZ?j?Ma+>`j%we2IfY z_A>58Tx5nLD>`~D1B37f?E;#or^NqVgJ|V;=dZ@WRyNsvpC9BRGHNj#tXqKmZh+-M zD6ym+s!Cm|_)=(4$nuSQx1CoJhUTGx$0r?zEG+9oDUCz8=%hl}vsZb^Y08-!OR9h9 z3xtGu;mWR3;{ zP97-azz&Pz>Z4IQ*Oam$eqT2*-r_`sc)5U2nf|2t!mHGL!rH=g#Qu z8EqxX8XFT&O?8}azgtQRD}fp%p6@hacPsPTIxNJc!Ds*ShV@*5nubhb_>y)j$6!a! z`0fw!$u*c~5Cd<@(xBH8N^BFK4ma$9%ST%tH7r=~|ILjj9QHmPI8>gU6O4__>$S}geu?a5h8ThK}eR62VL2`9{dfZ_hF-OsSeA$*C;ez{Gv)92&I zuI_GoDE2L0>(C3n&4u5*Eufalh=m{_ZGPzaM2U##t)`RA@5|+0CToxyRoVty#iim+gSb1n_h~-(MaIrhnf6 z1wn!h{!{r@>CoZJ*%;pqj8R6@(n9raH1`m>YD_6nFwY;_cHOiz6mI>X)F5OZ-$^zu zDcWTAI)}Pql|(tUkhX)(AGP^rB1?=)_rOJDP7d?y9F&hA3;uUWDYD@m2 zkfUqWXD_mz;aML@>IJU=qWw7nofg>-tF9X zNiXPpoNW(eKUF$S=qXT)VJI7gFXgkdGZ#gcw%ap4e*A=<{u49>1XMij|2sc?_{s)S zWisA^jjRv^j8O0+d?O+VFVFU5HwKa@8T=Osa~Q3^<>RC%k2B-0oW@D`P zWJHD%->WRfD;pqBHU{lkA~zM=mcLB$CDV?YKHJ z1A#|I_AGrOc6ogqOYa-ge^5Qa(?AK9fRl|uQy5YTK_(Usl@RHBO2K!B(9lFCCia1+ z&FV{gG|_0D2ka=E4$q9VlmxY=q-~6mPnf{*-jF@*Y2!>zZ)4!A^;jQs`c+PmxM>n^ z{PH9;>-&ieLahr7-j5_YylWOd=g~(*J|PK@JI9d8z+WW;x zgz&%_k&`Ac`Y*Mb;`||3O&abA9Sq_9`@LZ1`7lc2iK42xBLh>kSJzsFr(o7=ZeRzE zeI2xT=YhgdE4GKu>nW;hEaFZ3x4BK>?r_!9-F2ZT<)+?7I+VlH@;OohW6z-a-jG7V zV2$cWkE95TojjP4Z#oJfYlQdJ!66|lxTvcLZfK`bx{O%6j1=e>zBpaIeRn+Rw>TFXhUd}N za_$H23T4f**u7;!r@usUPB99$sQNrx1^Gl5$K|~w8>+*O%cwezUvtI>4CD53Bq&b+6UcG6{(Cj9qzpPJ!f?fGT((YkfL zpX|_$2H_(XfS7CkIA`i9K0C3Gmy?PeVAG~wd1(LCfHhuYC-F(v%^?fyt{zQn?OjqR z)6nu!15BCN^coT&#L8|hx}#|q>a>W+$ao%Wa)XSE2Ghc}>PR@ed+7dYA}b$mQ+1jHEivs#cjY_WhR0fikOWM}NW%YM zZW!NIJtIBC*6HeEGsy^A<gQ!#|Hi1r%ZbVL?YxW#?aN!>b95oDH~a^|0l5^93+5Q; zKV|0a;@tKVY!+LQmX&>xsz`9>&WG8+OJFsm*wad<<>dwEF{c+ldit8^t1Z~74drf3yXx1+yd7M{-8hvwr(? z3oX=JT?4vUEnFSUdbOuBGUd;{dg3MX!MoTUOx>lNqa zVP3BJM0Vs72`QNlP}o$j5hDk?J-xjkkv9fcpgQnc%G0hM`EQ>eSgkFl*guyVpk}m) z(OED2Acp^J@P-dwO^ABlV1-Ehj&PKE>(Ni7~Ot(z`N%In(08I>x_c3K$D1h)%fI_M+EYAfbxyt{(V{Sd$B103esK<`!srj9kbKR+m1DFo02oE>NaP$ z%!Pz&ri`!2cQsJS0)nTySLO?r6fm-eRKv9saYRWLSWVXKyvMzg|5#(9ICMDD6a;ym zrR5*5aTw+;Wpyb%chPu|4xvz6v*uJNev*GUNHuMx3Teq+%4^}0-c>@DwA{;wU7Mh% z9WFI}1(}xgjErxOSGz$I{?seAX+18_e=JC~Qd7o3A6mtY^lzA9(^C_l{XUb@-fXbY zyW+m~tqK_Guf!xIjM%x;(T2uhX|z|u^YOAfw`*mhO%JuI^iPs}a%X@3BVe^*NIV9{ zwKX_|clZ8@4GcV~s&ctQ;pp=p+WnDk34|8l?$y@O0nyY9$XN=EvHRfKYC%rB2M3+M z)8DYDiPEa)_gcYLRJuh|uiqr>gqOXq9Mf&IiA(6muY-DcD%kOl?w1&=?b@G3eSq`b z&wpnrola{Sagxo?caRQ!Y#G1rY_^?FL5=`3z}(0Tb1JP0D;h?|o*YZ~{^8w56nu6~ zCWuMHfpyNeZMVRE-@5by{x&cGcoJSwn<4k>ixBd5_)JsP4o^5ZIA)y}Jdv47kd5~x zdl!vykHU77ec<5Z-wv+^?SIe0Cz4(&>+qww{27c)l;Nys<1$mAQHh$-8|UeGAnlFP zam?NS_rubPp;i8rW~4GB<4AWmHyv-eYAmoLRx-bNAu34a-@*XD%ZL+9C^S~iKitI3 zQyTzTM=OXEtPHWxKgRgL%7Tle$ZYswR8J81P+EHWRE70@e4#_po9g5J(5bwHISYA+ zKa%?eUg~3lXV5s!B6?XsQ$Q2h?Xr>N{1t(19hf6yNOr$Gsb`W8&4+6Idg8opkdnYv zvR>} zOuV08nQtIV$MRQ@Ryr(fka~7b(nVbMdHQe>uy(e+2G<<(g7xy@W{7u>I0_h0R-+1#XE zrK6^~vr7CtMeAfiA~{(&ym!p3`~ujs#UFe_TlI&&#GK(a`CSkHdL&I~tSXQxWR>rD z0D-7LJx?1pBW2e|`Sbgrkb52OJ#FVXCl?nN0t$-0BLCg{vj}<9c*n<3q z%Vw6(0h2{*6pX_`h0tB+dO}W73D(2N@rhm*WMZ=Hdj^Jh`*o#T95pvS)Z4$jvkMOC$)GG<+Oy8{u7E{= zbSr@d3I#$)aUO^yLPS;2hIX9`2bW3T;(qM`hCZMs;FA{v=6Z*xqpv2&pV=*nV&GBS zQrx)c{i1fDR*>w=xy^r=^-tuO@wkhD*Ndk9$dcy&@RO+>Lp~jP!>!betAtCowHk!B z4s+1GKg*jWNSo1D8Bfw5y?7L>qnpGQx=w!gh1=!tvThGV^=-C75pe8NQLMsr{%w}f zw{r{OP>JLjDQ~?{RBWwJ>n(Sy8T{8O7BNPxvkWxrAd%&rTtf#GvM zV-6EOdlSL|j;X=q+<|}gYr_CpO90d<*=?HvIVoH3mm={nH)nt4KpklY0!MZ!oQabyA}cwzv^b2CJ$^&>hqFe6J% z@sZ;rJ+F($68<GF6NJqh+`@z5CvJ;!@*1lr_Pq(6rdMvbx7En2X zgM-pa>?laR5sas=%{%ko7|PR?YlGuxoh$^XX+G(o7Vsf~x%W@UAmI8>tT z>Y&W*zX|t!+p?;xcDF5_nWb6R0;u5+ptR%g;_$5w_@ef;z-db;L`mhb4ivbX~yUa;(WSbf__3rPM<%{^RPq(FKm?xH6_3s zKcRnXg^OUIydZe(`1oXXoqR>LwZ+EP=xG(>J=(gTMNY%IRntW~gZ~T6l}sOw3&W)n zs_KaI!Nfm?^|iFLq_lGh<#LVVRttz|uz z{6U)W%;rOeG#L&BU--|TuUlGMFCeBkPQ=q~r;vcgY*bs88OR#mb3Pgrc04fWwfBx#X=Nn|;Y|x4w~YbUqJ7)tBudF7x--V*49? zMWQue+bp@>lJ!aHy%K+2B7Gk7sz>qBKZ!7u8HRxQc~4aSwYBcoYU7m8W=Fux10x&; zqflM`k?QO<;+%cWs^H3}Ndw=+0Nxv1yeStW zFGzN;FkyC9TOpCJxx~1a6fzu9AaAlz6^N!6OB)-eTU(oy%LE5j%M#EXnmRkd!Hd`7q@VYu9q{pwAR`NcX?x;0 z3_pD;YKROMU3^LLmOqO2GdxD*e}()}QBrCKMPh&9L3QSmOR=m{_Ulu??WF2HHS6mG zwX%Gc{A11V*6lB}>3(t<$Ic~B)$}C^ZzEL`Tn&>Ua>iFQM{QkSoI+K)?ga-v)kMAD zqj}vZ@$UuDQVsSEgb4nifJ_nv&=3hF)tNwP>swk+(qDIWZisX2swp0@KQRTmJu9Os z0V--b%w8no1)LZG3;@z~IG7*TIPJLXU@AmDt(`Dvr{ru3&z+dQqMCJiFR9p_5F&S7` zxJ}t!CGg}+wE%fNdTLKmRaFx1FHAg&MHoKv)K83m?9Kpo$Xv~h&HR_**&}2wo4KCf zV}H;@s;5TeemX9AM%=xsIq%`ch0(3JbG3Cf>S2G14FSHVPidt9F1+#rWHYu>tm-_RHP&#XHN#}D2h7NjM>f)J6=o8J z9CY9q081=&VyAljtL5fcE=j5BU`J;sX0>)GP~d-Uk3l$hEXb#i0V6wsDoPi8J?mWH5`9!3HrS^)t zuBPT!ejl7gU|TQ4&qG$$P#}&^YB$6vjQP2+me;()UnUNUmZrz{67DJZE+pg;5@=WU z>M85-Wg!_6=Pjsq_}BO;dPJUoOA%Rj0H8qTifNOU^3g*ncFyB8bWR@jnAK$?Jd+1T zX6Hjc7W9}}sJiLtXFyyBQHJp-JG1s5B` z5C<5Tw9NO_SJhM<_obLxB<@g7-mmhAP%h~$>1ON|_YdB`p0gHdl)4)zHHycs_{Onm z{bVLEFVE>^1m3GbDwitWt9e5021rIfSqXavM;Wn6|JOC-#6QSv4D@wdWo0)ev8u6* zVob)L=?~t1`OHj-@IN~5c@PKP{^w$yVTKVD!}_JC6SiLFo@%eZA+K{w|%`7M)J?!JOGVhZOtkY1zEG~Z2R3`j8^t+dtq z@#@{x4@?9sJ_*OoppMar;wwUrYXFLChMMsvaB+Hyf@){=d*eVFJqD6`C+*oT|u6TQd?7P z9qs=1q8Wj+VBV)o)-p2YsrCWJ#?nN@dzhOBz9BYtadPM=W5-YAj5hM<= z;l0h}R)M@_#->rS)p1b>6p2SpPm;u>*4a>iA}%>Mz3r>{NfD2-6Dnn21ihKkf6poh zy*e7-MCWyuTwp-F!_3kmqbLS1GluINB~_W*%~G}f4N!7_NVY&$U{yIpaH{)=aW3Yc z(G882xKobKZ)#q1ZN1W+Hz<2EPvm*`rntp#18)23HcFX@=i;Fpu1!?NR&qdAZ)tD8 z?~|Gs5n=dFE0Y1}Djj~zYrT)}NKzAM>;CsiN^;hWm<|T#ZM|#|8aGlVTBfn3>Hq!^ ztF4LVl8$g$icP=r^?f;xUSdItZz+AyBQVxBwexU z4v|a9f8fTAghx@Wy-_g{`H4zj#iY#rFPw1K*suRlGofn#)$jZ0w(;ijH<^RUF>pR; zDw4u35<#j&OV;jNIi2u<=4OB4gM)v3USItM*-vk8qKm#Yc$>iLZ+-d4@oXV78D-ilnNW=3t=}8XL0AMf4t~F`#esY{(7SZZvs^+Xt6)Z z*2b}}G56V>ZKIZX#+_tP{1G|?pv|QX=N?)6@1TOBtePq zL(drL%r2qm5CiZ0qHjZqACl)M$LBt#XlV=U6l2CbN>`v6!K*WZmzB86h3&9Lxw;}oQ z>iTsE$gyPZeJU(88)G22HT~cBuZ{~QeBUSD-l@Ag$k}mU_l}#N#s@(UM{bG>R3k*y zlDFcEXQQjLoF*O(0iaG-n)~SDrTtrz!w>x)x>4-?gYw8%PjXiydRK!3Dg0u4dY3Jy zYY=APIJB#}FQx3?uPL&sudJERj>ZteX>!2@rwQ*v+msn#x)GF_z&0gAaLf-?v#xPk zlRY_BKpA>c6gEZfwAy6afqL_R3-sTyF3fH= zdjG8Yvqjmjx0BM6(otrzL-bFd|9LKGBwuP-js8>cr$ta#H^;jHEUfD8?vcrFaDhRE zXgtOZpjDSqi6+ahuRg--jzrkR%=$o99w3&WE+S8*(Di@)^^#FggI_4Z0j>V~lS!61 z#V|z&m@FcX{HU>j^f6p71_=r@ z*l?Ix^l=!p_>u?CL;13kxC4@Yr=QkXXzwJ>C0QkMYNL}rGt3u(69tM}PRKEZYA(Ar z2Yz+#tB@nOX-~gOAl0t5GR?=e7=*hS+0NHLj2L+_RXBF%$ZDZ~3s-0uuP)IN_+dok z{!Xfz$o9bNeem%yEn_Z1QSeAOK{sC~Im7tNws-`@h9mAv8&e{xElZ7T^PfL|9-f@6 zyK@djN*ud^cz$vx)RWLwoPctOm+zo_Lbn(28qJkBP3r|_uMbUk{#)!Lt7`8MrkE;q z1`8<-D9>&GJ$s6A^D%;7nzG>g%Hx%V8ON{Of0UKFj6GalJgW)drocBtFgYKU>j^i= zZc$DqAU}1K!zZnp+2tZ9$`94n$u}dERB>6JMwa>c&mT9y?hdt2lcABbz75E+3KT zg|o9WQr|i6^#@?~;J|CZs=&BI9T?KLAR?vN2lE6_B0@^*+97mkieA3#m%)Ih2#E(k z@tmP%Sqq3_9Oz$Ize#{)pK7fp@<2liTZ%jjGEs1n5WYfNX_XWIQxZd3vy!3mKKn;V&|3N|k z&mplLP(-~lF`)zdPR=l>n~g#I3NdT}VCPE{+Zzvg02n@hm*16ZvQ*9@uxV&$kbdjq z7pW2foB-89S7~0`4V%}<7Y?zu?-T-D>xWiL8iBci_D=R0L0Y#wJTXy(uij4Tz4L#> z|DuXx+AQ^APmz4^uhDDb2jqA9y$h@sHm`t)8@1H~21C!?B&QFgSZR2MvM9a=8fZoC z%|=Kwzx=MO_c>t1=S(-`ppoV1h)UFAdxD6FFO#%_R@x*Mk%en+SIi(K{W zn2AHab~T|-bJOu!@37fZ7;X4KSAiUMoWy~V)O+Mtw_6fFDMmsvU>yUM@772LcIB+{ zXiLM}_S=wi2KKmSLlzShR9@!>VCxJfGQ8ySbEyo-kQ2zE05_LsfEd;da5VlsyH7<$ z#T_dAXSY-cet2RvsO@N5;4o8GHNRhZ43-c=Cxcwv0*P+|yEA4-E17!OZ2hlF7s+G_ z=SSZMb>nNjGC4Wt#SEv7bCaZf6})FLeD%YnHFTa*sV7>kcjEQ51&39nY;~=-bI^{+ z^lg><^$`(hjy1{w1=gCCdAm;$)qyD~J70yrfn8FnokLG+%#lCH;2!btRQMyfUF`a& z!!YrwR-pv}e53Vhb3Fe(3Iuij=PAyh@?)sj@C8`+^pOFg-c8(Hj6_#Xc;C%MJeEBN zFa(O>2M}YRQ@>K6XqBfVR%@L32VVVaz=&T1Jozn1yF&*4g8u;^cd>3F)=e^q`_wy5uhYEpv?$X0{K79vv#X zrgEFb7hkIPl)Dvd6Lu|2dn$IZRJuJaw@zj;3u-T-oFdC$W$mEcciODM@Cohf(?h+5 zW%H*TH=l-%&L1uUP*@s>Q~=UVZU{$EC$Q>12L`5r135R<{{H^z`Z`jej^unvg;B}N z$>CgFT&Q&exS?*SOA=dSO$DJh8!=ioOV@u6HX8oymzwQ=`g9Aqw39v0G(cgdioin4 zCxfd_YIV)}3B%SSl$v**Sk-k~k4XlIlQU9EP~H<-V`&ZAmTQOp6i#H4znM}=*Of(z zK|a?G2fo5Q2TD|L#3spBYs9}(iM6+LTIJc+CstxwO#V9Ag-;JM(<7DS&RyYu>yeCqT^DWRLyHD+P{%`e$!55rZxqk)&^pk({dp+-)$vvRynBa}8g0izQ^_&2M z&o9rSO%YUesFm6ag^pTRA#@;HEJ%dhVj(KA*-X}GZp^_+EwdW))h$?xx5!UXE70xu zEJ#dFPCjqPYgd^FI8}-BrmpM3S}QbyUEo+?X0I_fH#Y)EIZRsU0C(=`>Cp^5fvM44 zPS)qI`VTmZ01?yNMfOcB?x0@_kpPQ0G^uc}44)QNkcdKVswRolb6-i( z4ugf|bm&(9vP^5+#nnQ&XgjSZ;ps#L1+Z^H(`ucW^iQR|2@LR*HWLAMgXEJk$qNPm z=AC9tut5W_`^8X&$!8Z|_?6jQ)Gc%x1i!v%z*%OxuMgF{)booE<2Ci4+6VSlj>&F| z@3w2KwR1f3D|f67&aczyC3HCZv?qCvpLkAOS8?mnZQkhx>?g^E44ql+UmeDGkF7&Y z?#*RAj;B1jlDo(*LG6&lkisoi#Tn>oRxXT(ic}K>WINC z?zN*;Xp9=U-#4hMuQ8#fkd(c?jgAdQf1W4~%Vz>)WYJOHX8wEO4t=tJUi`iX$-k*0 zWDZ6B?JKJZ{KRn-y(zR&#jkwYzh2;{HNIL2Qq1|YJFRv){Fa%VB^X_A(w$SpS_DSR z(Cj;QkD!EDC#c~srbluqV2niu&3=0$hKoOkMH&$q9(}4S%^fDmn6IjJ%2>0@$G()7HeO zE>-->wD2s2)w(Y(TC5_rC{gc@&0$4TcsMR_6-0qd10vmR^ic|kZ*auNfHY$+5k&9< zT<;Q@e4o7J6y>!{lM4U2jk}wjEhUm>Ci$$~hpWT`493pAPf_ozk#&6O5kdLJU$QaV z&|kYX;qcfrrKR)nu`Jdi`PDDZ3O0`%(O$U~`PDx+N_)|EJfDxcXJhlt-n3Yew5zBt z>^r*!NxZEpt0l10L$f?A74>(jc%t88-1cF)y;e z0QKh03ZmeXowX!}$fiZaNytK+-p?ws|GSEjah@2heTqr zV*hoo=W5TIeHw?>8#e(lLAZsAciZ%d)6?e>DaDm14tv@)wXS298;xzE&+!w{n42-K z1epn=m5O$bG?tLa2Kp7)`1D!c+_)Z5hvI_+o_I+wJjOB%-Wo7(Ji4Ad#qJMskRkOf zs74xwsd(!fcTy|pc7vH09v?myP$mlwDr4zVz~W9ELwVxn>J}01!u%^ek)MCE=c&~1 zrwy@;seht|jf3}sl6zKVU)u*Z4>{Y;;Um;-VljA%7`1glO_F54US|KC5)J{`kriKk z>kj_HeV_VOai1=wg;sz6yC`R6`dss$(F&YwTb#daU!ln0@c}Ya*gX=VRiCU;AC`?; zZ?6{~rGrQ$TDX5*-9*sg)i(Tf4yl5XiU{C4k>0>1MS1#uYnHZwPSGO z%WQDrkWc7lk%lEcdZ-e)DN;{?NgqQ6=g=@w;F!(WIO|1@_g}JITDCZ=%b!rC0a?c) zi5TBe5T%|tpeMI>MtJJ|(68BI{=T4qz&ZgEmQn`2NoOD4=0avb(X`>nTv=)%j<9Nb9))O)fh=Lq1NT zJMeK*vUs-m>=1)lpL&qY!qi{R!D8-qb&2#U*^!?;A28pn?$1}y`;(uNT>BNhJcc=f=jFa!Xtqm}1^G#b$~5NaIfX!ERUr_?7G?lc*E| zXIN)zcNkRi8R#Cgs5|#W=2*U3YN4MKUK~|4OdK06wqI1bZmcrC-TM4ChD7dU;>=J_ zuFhPWuXGU~AT5+MOG|%*Bh+L4q1E3kB^p|VvT*N-a;S~nX*ePiCEM86;dP@(iA z8S|Y)+CVE=DT$nr1g*C8syg(I!u~-&bi`&77$841XY%3@ikKt-Zgm zN?gWpqUj}=K4oXq8?kBBVq4t%wzubyU%kPXJDAMx%nZgO#fs)$4K8pem=w}DCUUAx zg*n*+Kb$m7Y%+T@##t(+emyy#f1_?MO!1@P^sk`#gBh|JXvvNi|GHXVnDXCR7C$=9 zc>fIUmj8EMpK`=_#7WD< za7O|~LNY{xHiA{aji<)}l+@{Xy<7!C-tP;5dabA!{siQ%uewbTYP-($C;a-Hmi9=w z2X_EFeU72~K;d~k`{8&PEM+aWwV?{g9$0bhwkRFdY!MI;*g7nCj}3kDk_Ap7+VA#L zKd7^QFPM*(dp20FYHOawCn^=LI2j&BQ=RqWVa_sP6q$F{0~MiSm)T|3qPW z_*M51Mff$9j4l@rDzs8&fFQ)D>fE7C#UOb6?)>y{h{%5a_g&<}gS!Ls*F~5tQq$43 zxIqcG4;35+6oO~x=Y-tWB+$fhMX^7A4AZ+iV1~1`%dRSU^Y(2@9-dg;TG#ERWPJ81 z#8<-f@2{s-u;v{fwl8SJu^MGo?f1{`T);#LtXsv>dbeO4HKci|SiS@3QXI1SymlWi zB_#zR+pGEc`3`@3yrLM?aPHs##lKl&*pzhl=1TLgkt;Xj{ivlA zc`eQch{-%|m^+5)3_^jmSW)RAa!w(93ks~ZU5Xmv@nVws+bH8-(XPmT(w6UG5dD$m zj5)Ks-i+NLB;x)}v)tr~d>#LB(#S6j{J=v-35y;(AWJRU@iBemH`thda)4ULyN!9c zUxghdYW(MTj(zrFZ}gqNM5fkbL%r2hp!SC$UJ1V;w_0g++gDysAuC2U!OU|4C~vr; zhEzX%ct$~ILIwPE+==b_&bAJDumyWpSl9|Y@AK1sQ7ts|rnPDbcYy@7N6rb)RQ^wB zHO<$)_Vp>kuu}|Ji!?Me9m&GUu#dD_PNtjt# zY1^J_S%%&m7Tz0AH+WT44qRSNBQh4x%hP0y7Z*_M6X~2n7mtkYfvp<|OdLc83{Yhg z%y3a+ffCKj%WFAOd_6<4HIdgI7^%f0wdmI{A4E2(!X7|XkVR6&Sge_I3VibPX44`3 zEF;g?+P^jOhF-?!UH;>JErm+3O9p$z`QZJ^3h`30nfOMl*Of;V4?CFVzo~$aaA#Vj zB&!tKd<;EGHM>&@s|%G~Tq4~Kp%Kc}zF=$Ncrg58YiBz?U)vn-U#3mys(&~_0429w zq>Crqc2lF@_C)LE5#0iLZe){;J54>^IaUMcxki;$wQ#0|fj9lWtJYLYSz*2)r3) z$?#TK*oKUhn846}FiL0#_S(G17J8DR&;wEw>xvmPF00X>@W^>Q&UnB9&**St0)yb? z+QSR5t?H>P+0A`?lNlT0Q9#b;l=1utPla5@zy*ujKx-hcC%C6Ke$A(K8Xwd7{K^KZ z=|0-xrP~LU>LADMlhe?}CnHN|pK3z9QqJlBM9rk^QH=7BesxT9Pet%FWi1&+eH>DE zzWDBCOjq5heLj?O$I3kM$bua74DHtS3G1Z^_syOCqJm1+6N!X}MXs=JvaxwykxL&6 zN*XIh9sBlUrh97lao6xVzJ!TzefmR2f6v_eeLfx2xfTcktc&ep2v}+Oh4sbU>ujR`5`%4##@;qCd6g$tQ1Jc4H7WnY9+A;QaE;+e8aC}fyR8;WtSb=syWbfyrku`m|GJq~DEDVp*Top?a z+9zbsFW{9RGJPOMlwUZ#VO^W6oAZs3m?@&QBcSNXv?ZKPnH(|;g5Hhi%6OWX`)Gpo z$>$T6R>cl^?)am{``xnFH*cmH{3U(vs?S@_H1cDLuB4ZK;cP1DYOK)rt6+hKfyJqL zSCw23Q@dllG`cE4A7AbM?#0C+>YMCCF{VrhIrk$|Hv)V?tak;W16b-dkKpiYSMx;f z#OrZw$T*+eAmkrWk1tJB`rK63Z}p_z>0!dwHle>JX@IVt==1#j3{g0a5(O+jfD>I; z7agUJLjZ?t1_)is%F3~!>;FOXfo--g01|+$p-RDiuoo7XoIoA)26b2npk%nXxMCi4 z3$^{IXJ=>T9jmhjNn+2S5`p~(2q^`88{2>b;2#{E0oH;@Krn20hbpId5ibUSXYaBD zCypDSOIG`nH?PS-lb08nm?(D-pIjuxma0!QSKrN5Ai^WzXN0G4tD&dhtD@_x+Jg^v z9-%7`QoCluydXuMT2c``?r6p-Bm@8Mbjo7F=?#0w!$4z)XBzE%(l=gqjh5m?*qN^E zq8IM+7Go{sjYMuY^fxwW5oz0_cMH57+(wt6DZ(%2oQqHMpu_jhdRe z(0YPz(sebD$Pfqw;vn@#3@ssqQPa}y0F@kZnMfO2-QM5-1>O#Tf!dwynQ_@n0@Q0y z;=uwI+{hj~C=_mBV`Bp%h2$~_1deIjz6W0*cR^hAh3$~ZK%XuGo&84rr3c6(ew`{$ z-+^NX+@_BuCc)Q}$4aZwquL67Y%c|LZU0@Ath8xzPwWu>h%x8aZn0gE!u^+6_gl?7 z_j)2+9oH3VW#{vNdE#IA{NWYHY3oM!RC*r%eoszLB)Ta(Iujg15}X^zfMORno+xd> zlnIme-H@~a3tlyckb)4x`u=2sqo+)P8nPJ?HgsrySj`lK>W-EwB}@Eqp5guB${e>b z#Tr-2T;n2}V6;TcWCl!TVLGDw-x5--5;zRyMZJTI7ZZ+G3!FjTL;$1w3ak zA%o|Zt5)y|n09+>BN51=1h5bPGjoW8kME~jVDi)d?xG<)>1@Z2Pj1`4@WDgIen3Ty z_4Vx2R~@llSy?8*1oB=Dy8a&`Ri&PHCEtr75l`9r;yz!yAHwkUk-_qh3^(^P3kNjP z+i~8~I&`cVWA`pfHiQ#@3;%GYtDift-ZwH;z4v3NytteaHR#}e zuQ{>N(#C=Ume{6z^mcqgU+|~9R2t4sq+n@0oo^X$k(p$|Uo$WX@Sq(CXJoOML`-^E zIoz@bXfzW$J*zJLNSFE5?aeW<_g%6zj18Xo6!?9>%yIr~nrs>)j7!lO#NW+?|VcQ|2Sm#XYKqV$uiDZ`5K{{s+=AD}u@1mNg} zMIAJ6{d`<+4=h2EptI^KYm@+7&ft6oWTp$^fW@I?K)mxTnDg`qU_Aij`;G$WL7-AX z&~(S~s3$MAJ}eYQJ&^V_FY^7P@W`TNbQyyW5w6V*2F>k$=Y$L79hC{YuTy|IZU z(06zjWpe6L==i?l&m!gMhBoQ2;sp16iC<0a?l*_(53xN-I-ll*v3hDdN6W41Wf_>jvzksjRRYeATG+zixds$bkq1g!^Y47wZ)#COrPMo_EBI^FzCboXQf;YnPo7rMyax46g!mi-LrH5F*I=r>I%U956GB=*W8S zd_#!n{H|;>GEfd@*egSM~A zete-?9+w0{6ile!xR%vmJ-*_ln!7M!lAHncAkcX~fjgbOh$WC#q1CQ?SsblX05l^s2cIKe)SIzF;ETMgE;Y|S1J0b1{Ps4eL7jmu~dLo7d{#)=r&a^N;(aF6)cBHNqJzxM=Xyd zf%ozFv|!{f248+~RdkGBon_GuN7g0Dxb}F^udm#~*H0ep=~z!EVUgSKa>prGQD515 zI$jC_#O3d7w-ImFfpcc-pt_fWqqnpM&gr15&o10-blzP~K;=+4d4h?0l3ZwK`P@{d^%RY(8 zyVG=OB;@Y8MB(w-t2&_r&Tedv$ytj_zDsJ>>7UtbUJgeT`Q6sJ zP81Wk@OUsu$FJ)P73lbx>vXN00PvV{-^3#TBx9j=XKekLA>&TH-`II)9saYqBQvECAsl!cl~yTrD@UfiDl%` zA=AQ3ShyJj5m^e4c}w3#Hp(=*Ysb02za8ek6-3d))Pv>h9zl_wTM}vK#%z z;}h?`ACLmqr~Xa>ON$3~6ZnM+c!N`X^5$bosvyF)`&GBeM$T@Upm*aySJPrB)GTW( zo>%sMsv*E4h2Do!j#@mfnSdu_3hRPhyR(`1^>6L&D?KdPdSdLi;(x!JMs?Ubg3fjcICKI9JxLd_-8nyTA^gReoI?pFJjAy{VLnN^z=)hd0p^ zI>LS={OwzC>BlRJfjtLTyx?v~2?vuCW)Qw|el2GCd=i60`>0ANAEOorzY@LmS1UC>O&a^(qxBA(C#&W$Lj)jY zcf|9VsW|RBVWUx>D)Q7J)Aq1&M@&oK{4eJ7YRSd*SKVLf@ zzND<7tjNkLdfFw+uPbWN1FqY2ee8YthpxP7s@a_*LwYoB;y(GQlSOa{%Q6U8DK+O5 zxn}YmxczP-5ug8$bGXju;Ly>mfzk)}cy7F07TQb+T^wgQIbQcNyff0q6ec@|kv2+Slg)KmKZzzTKJpvrFb7bj}VG z&Ud}$^lk3LF|9guC1=0wu#CuGP7hsu(W>$$w-$yhGZ_bsS_{E3qk#~EK<5Tlk^b9( zW__Aa#uPCa;$LQ7w0nKK`mWbCN7+9g-Mb7NHxbMR*7{ z4tCCqhM>X(mDTRl03|RWie+80Y-8`b~hS+3_0Qoaz1Q zSE=C|G0k9Yyz41hJl}OudQS``IMA2whVGgMWB7|T`7c@&&W9Dm_;K6inqY*#wquEd zjtjPt$xIKmj%c>=!6yNQpd>QkYhl7Hmb1wkS9P|QVRg-55VdrqS$pD6;nSHyUudCv zfoBaS9aqsXUS3|Dmo_8Cz-oRq7W5p5^s-KUi~M`gUn$Mbi*7 zO2#K4ffx{XWZg6Lb!a}Ks15SM=O4h$6^`-ZYD*AdlYKW~0-g4X>SrN$K3v*o)1X14 z0bv8^IR+n!Ia(CA+Eu;kBtlk7!OsGT(JP=Papr53SrXp8d$*#p5@~AiSagFzL*;{6 z0qt0V!Zii>NO9HFrnejIh8wfVObGtCvs!eYH{CcDrpOgQf9zBkJK^cn8HfS)Q9cfP zbPj$)Ul`k;qNYos*5p>lk#4B%Ca3h)2t3BIDQ_13A|W0!8-FmgWwTNr6hvaS`}SV{ zVy{Q&j?|PS{Xn#$vdU9^WBsH{ned-`pZ_G(Jf};34i$QYMzop7#Dx4Fo)a}3>U?z< zAEm*NWTMc7;)Bq}Oojg=Y?z!bBO?P*$_x*y%gD$e>NZ#)JKx}S6%gnWJ%m>VNZNII z`EJ*iGjOj$z+)hMfJ|#sa|s{3{NXzRn8dz{#(~o}XEZxI`)03K5=_o%VGNL`RgQD# zP6Gr~h$FOs{~!u_M7PS{0vq19c6Me#PXFC}9aaNu1N7Vr>xv_w8s;&DIWU}k29 zb~PAyG&{gZK^z^6!BYLRXPr~h5b9O5FMpQ7%?W8u2Pf;k#6gt3{sJ~`^eo|#9UU?~ zUrfG6F;11(aw6C~oL$sRIfN!iy_tSCO~iA6o_}BCHwsPIgX0}9>nkl{bhblV%#3S< z-irFie&0a7-C4oiD|>=Awt34k5KM){7QFo0-ap1ZH5!SB`ch^Iv7@|6e23#B3?2*~ z6R6j@@j`SU6Lbv=4{v;rt-JR2;>Qj09(Yyon6*uX$^h*J9VL&;4z*5|!we9ga#%M5 z?lauPz@P>U5+Z~F1B4Vwb@lVh0ZMnBjSvX=2%CY?sTIcT*D^tgLpMa>${G4qBymMdv4iwP>?h&HPqY zTCZU-fPtZ5uPL+B7@@!$+hEpzlMKJIM>DaqeuC|_wqQ^I+EoO#guw)0_bA}p0(OY_ z%-ZT=$IqmsDAlPfAK^I>nD{Hkf-7 zQ7R*!7~rb2i>mcBl|ZOcW$;A-8t38?fXgUG#>Tw>>>~<6kUv`lk#m?TFfH5(vfhQZ zD|ZN=BUv?_lWM5R01G0~AJ4}6@Fil>+)#H%yQQ8#mDJGn><{6UEkyWeDPu&g1 z1+g%f{d$=L#1jHx4*>*x%Co1tjdv z!5{D5p#XBFy;=bp#FhRW0H^9MPF5wDmV0}95k?;Hx8orZ5Ao6hvFv#gBR#8=7iiB? z2Fy{Vz&8Zq0jJDiMHQD^4moVY2D8D1WY3Efn5n#Raf!R%jKm~-{GsW6AS%jfmbLt&{u zV?%6;L24}$j54vJtg5Q0p<(8sqpWP?$M1E$-LFXXv;42?_#2!w8690L)S@xU7M6AM zKZFBBjJ{WggbAs!r^*tPyJoLb#(c3#Rm^_Fz9DB4_`r1Gzl%tJ>uBa@KomgsT>5MXpZwZr zY3`3VKUa_l{`apbxLaC9ecSJa-7&lNe}pvBv~z3w`R9z%rW3u z5UZ*2f)=a~e*jc#PD0G@Wci-68ab1?u;@48w>Eh=^$W@cr3W#8s#C*9Dt$hvxQ6Ba zeO65C&o*@D`^Jovu71UlcwfrtlV-n@03KGaC)3K{BG?8l4Dd>!Av8*mO4RHRYH>D$ z)GiQC7P7ehv)hg|;Oj^Z0Z?-h%*1~Dr%F@?NVrg;VA4u)_{=ELg`l|%=;?}#uJKBTvKo8RHU_(8#gLrS`COL#r+ zdnD-Sv0Q6EPft%1wY-1--s0Sk19as218?3TWWvTq(cL-FKz8C^;K0bzS$mr~6pF9j zVZCM6B>{aF+CGbm=e|Pc=xV}ck*k|;y@+W$U#`U#Io#UCMfy}*zW-}Vr*1*xfHsWy z5%xVG>!ruBt>N%+9bgfgg&?zvQ!Y5wj=Qd22_a<99MtZjCu5Fi1zmFm>s_nZq97F* z)9LE!0-NAVtM%OCV{pTahF5C#SKu)z>h3xGbE0l3ZQvndGv!wF$Q{OW;8JFXlxDt*AFU;o}D!S*>n<~CDB!aEv5PA|i zwUm`X0(A}O_4roqYeB;nEffbMtp4s!7zW9t?*$Jv!l?rS18_4w=+zMP&vX3ecObMw9vt#FJpR`Q z@Xzmn{(t+w9$t@#8wfuj`=#`nR?G%43`3jvey;v>gCAxlzQDhLBI=t~d6!6dna8)0 zRU{L@P}R-d9p;9{P&Nc#SY4C&<}RP0UhB#UAMY((+F`W@F7MJ)Z3Tq}AokzH#1zj{ z{R8eO+sFE-gB!cRCPJpJuN@s}pwK`@VgUiSZ%B{v9m6z{5b7Ejr~R9-Cs6?YoajJ@ z5`&)rAQ7@4vby~t3bogSMy+dUx?)Z`D0`%!;Esa$^5FRBND5?Gjv-TJRtf0}^y%D_ zZ^UGzq{0xzgmjLwj2||+Q{j9bw#A_Z3`qSlo@d*B_lSrd34*c#E4s$92xhZplQk}VAY`Y0asrW> zn8b6jgRr%;Q!X9^4v}GD6txh}!bMZUK)JO^;KgG2!R{{#*dtMQ#&foxX%-C0!h`Cw zD5zCkI+Bi{l?L9HSg@g*_G_O#Fz6pv=_-3y`qup+U()lPy}d}G%QO48ABSm8+k{pf z_{>23(g)USl+c{$i1L0%u{b;i+EFw-33@0uz(kwNtMpXBVvx}c40Sm}I^))&Wk*z@L71kL8RQ;I+*HWaIcDHt%!h+AfrWjo>GYSXF@a1TsVg z@=xl}Dk+UqZra0B0i)k{K=EebB$&)=?+fMXYuH!D|8%ka`nJwr0qsPlCt7rLbT?{s zkXI0mJV@$t?A zn6NaU;*?>=7k9%(4}Gw77=PVD3NJ(mq^;c^F>EN0UBD-V@^BZ*5?=R{?;6KwNc{m#p(yJ& zzsxmz4Gj&Z>pkgVvf)O;`Yh}}ol|gMJ4tjbAX%CQM3L@5999$+^>zS&Oct`5qJ#u2 z?h1E+OfLgK*>{&S5b{vt(@mk)+s74*M;-~eyf&YSR6vztbx3yh*oPEn$tcgn`uG7DGd|xfPa5)J^aM*tgNi> zuvdE-I=enFLQ02@!>lh|x~s}ZRRn%4Y+Us)gEN9d!K7QGK3eZt@31k>D;-X~4E1+3 zvRrrfjncye(7lQxQEv}ew*iV=SfccPShH|>F_ctPG*L1%m_!^>qku*q0}m_FVMxb$ zfZ!6$`eguS`2=^;pC*ZI1~>>-bj7|wr*1hEl2^WzshWxO8^U{8hA1(uE80Em1^ghGdUA?4RGf!2s@TJ#1Qc@-}4x)#Yl%lSGQ~c7; z&fMVV1RR07Z{@6pbA4UMc>=5we+^WD6NON?Ohz~or`&NFQ$m8Qg2Ejrv=H+z#Dg%|9;pvL-Pi{`5`0Y_dEq} zu8&Z9;DKA(8wkPRPieD50+AgSZjCBD8iTB`V0qV40^$i!pG_cq)f_J-AZj>dBPJ|Q zLp)BDM>KbZ#!lVAbsqF>ONjl9pkNYoF_mCb6D0}98nzx&3<#*APT4Aw&U@1Sby zH|K=C9%+)HAm9D-mjo;`#c~G*`96n*J$dyibD!JzLEa2|Dqr4$`#6|-Li9q6^Aec? zzHn09x`t;9hg%xLUIdgow1V3|aTn)=FOJfb&#jbSym%l82G)u%Uw%nf&CLKQv<$2o zU`q}S42(dE`Q23rY|mFlO0v>>O{syIX9fafMQQ1e5E#;jRx=<`$-sO+Tq5lg;Aa`| z&G{m{#PORz`3`?a6pEAupl<7f8YvxElFxPy4`YDaqThRhd=;^$MlL73prGI$2?-+- zPB`ZuK6(@mjrt>CzexjJ-v`Z}#hQp18z)ye4dS_|_~uQ83-;HD=~R*-v7w|wZt7RkA??-vu#jWB zj)oSmw>e&^R0X_R?%C4FI4vHt$H}oMUCk*T3I0$1fVb*F4V`{423ct>h-`1m~x~iSXW7F zmb?mv2bm6rQnKO7TD)$6cV~b?(rlv2u@A6>jOvXlS)k}f+1cCENPj*4ksKXOTUk*d z6^PFg4JU(vl+Qux1fZM@I21_41H+(C$fug8SFbDc>{%q@ohO~ADhq_{9Hr*wMFx8M zFf?p3#?Dw)F&TOJ7*HY5Bt55tKqC#UeIKs8zynfY4{bh=vkLLm7WgXUsy>j`r-R#{ z3}9cCFvm*=m(f_`D)?;Efz&DsB;iN^*%;*jErf8+vH8zu<7^1ZT^Y8xXPUr|O*3RV zuI8i-r8ymlbT2bHKRMV|WULHrK4|3VHVhRU{QI^m{PYw$w+va&tOD&yMdX$-(B322 z=Hkp{8MdHCLNtwxk2mj~+68|I&U)QCw@MD+<03Z=HFOLpMjtNB&vWodnwx(`f~#B- zpGx2AejoI<$P-=mxfwV;!lU2{6&bZOnv7$y+C zp{8^&6232I$UM;^Yi3C%dysmf3416RE9)UPO2LdR@3jYDN#WYeG2;^xG{F*7sNuP} zxqFZqx!!ovT30R8?q2pT+CstvvvkFHC~fZ%52gpbPYVzT%RP2Q3Mhi@ips|{dk&B&NXTi9Ec45IEx^ipH&3-4s*lbV zsF(oPpM^TObP+*nAaZ3wlLc0;(H8lYzA$gNucxO6bW}MF4MH$8bPTqDvI+n}n>Y-6tU>eOuuBcBZpbOcZpS+kxIHAL^>W8Sg$^6d*%v}(18;}#CgX#8 zr(dMB43&@%+xPsR8H`P|uHV z?5J1i$xSRZ50;~8U33z??dDu?$B2QaAW>3h=V3kze~v4|J}QHL>~=< zA3E%xhyCv8n1?Zq2_#2EjfC{0a7pz)Dv>*z(2`v&Tik6V+?=T@G}-_IMilUjuqw{{ zvQAkXbzKfwNR7z4krn1{jC_1VQ8K@v5bS7ywgx77nXt#gu?xJA2>2Z6!LXJR(wbz3 z;x^R!ePGoAnF}COxWJrd@B>ZNtz1dy{veYfS}?@z>M5sF&j(|@r#Z^SZx5|^ivX_# zse^`LVg{Q=U~)1!Xh{~p!7%;%_wR$p-riTfn0c1Vnyq+@7$nOL8<1Nallf*&Ou>+k zo}L~V2rL?c#~;`qR!KZefE3IQP227&M6o!C803gkMtE4*OQD#=#Akq3gN^eZ7@I>8 ziq}e@s$5_Y8xhe2E~qeK)`xcvS!``ncbpmB(mV0JbMkz0nEVD!2RpeW>Z%*e5~;?O1BGIosXX);@z;Va4c>2X{lyX)p{}~) z*&o%Wh_Zw^(}9dgwDn7axX7b0bya-1T(#{fd$4Bu?Y#g zRUwkhF@`QKgm{71%gf6_#_>4r89fWj4V1mTJqj)^yz}#O9w8wK_=qEAGLB{lEZ?H^ zjE>$;>-C4I1-iGIN)zqErNd@RuC$aC&~rwGwJ(_3*t9G!=d`#MzBD+=>g|1@tfp39 zS@xKT3G;atZf$L?shJu0gA%M^_ixecbbBp0(Gi%#-{@ojg55!QUeGS?0T3 zyE+F)M}0H1TY-UrGq*zOk}@-CA;mRXav8e2PZ;k0&B=NAy|h%{#H1yy3jX6dJT*84 z1vlfo?{pnEnwK_Omm7L`2tDiVO%93@OU3?PTN`|S?w&nh4%6i)cdntld!B_}xgHls zh=GOWJC5b9XI@Ga92|V-+Klj}%G2C|*{!WROG`_$qvddGFfr6OGMZ;-q!AXftAkmi zhv&1WdjbFPgGWa-Nk~WlGrjUC>h`M=LaKZBW6PrIYV@4F_01D`d3kyU z1~DBSQVg^vI`JdN=g*%{o{0=>Y%s%2NQjm4l1H!S@_K|AWvb2B%uF=Cq%Ird<%Nao zuC-)<-TmFzxJaC?iyd3{ZC}_qc7+0F>O=hBECV~Kr+b|wq@*dSsaJ@CX}?JNKoWx3V`k(Is&-u(dO>vSel8Vqm5tF}An2w&P)BwD>z{0>tihla$oP3btSV ze&7#H&^iv4<)Z7-x@aj}uhS97jwflgp0h zyqYH)xxd^i?B^cghH!IJ^;50nqYERFV+4zmMSdp75L%eW{0+WBf2<vj;_b+6-I%F6A@;Mc{ZEN zDHS9^K|!1Q!&**@DNmi8zC6ogNnz{gMQ_U`6(Wu_pFKv1(@~x+*H$;jie#NuS!Z&AA2nkqx#7yza-DjPn;wmG1Li>Q&Bb2 zYuA`3z;r#_o=4ojyURiBe}RBv4Q@0lIr*Pe>!Y~4dsD+vs@svyN{a{G_o^My-DwX0 zA;Zj?8l23rpfO|f!(9SS7Z(?p@f3HTlk;=4Lz>S`f5(i!AMh7WnLeYZp;`nh?p6-0 zth83=j*{Ho-U{tE$GSEXHMdAsWDb4(`t@hOzUiS!vU_3%`EkQO18h+1)7@b1sbQs> zOahCT{m$s8cgXOO$;ot-a;XP~I+9<$;NWUl|5OFn{aH>9S3L9U#lf5+oqCN7B5Bu* zwimtY)d9`JbHtTf zHJt`yg!4Bf%p9+Dj^Y4uGjnPa(|}rz;3z81-e9sG25@czRxyG4l}_YB*LBf;=sQ_ z(hT*Y@iLU?*w_?AAi;45B}AH@pYAimhSqtr+x4%uHX)lSC6)X^@i2S} z*NYv}>0))NVXh5i9X5P1DXCvKtG=j<;p&>2^r^Kp8+y%l`L4n^m(f^_hQA3m!Xv*UnJ!YBSbgxbUZlDjVc@;;zzY*+wq6xF z?IredcGvW1UICb+$LxAxj7~^M52Cg+U7Y0FGJIpoec|9WRBtJaSpK6O&gSVB5&||+ zhv}VYAPQkuG>szuqs+N|@d0FG-(zmlticZQ#bzr;?O z;0-_o=pI2!izSC<<;CS(rBOuPLB*h`xp~pa^))Vd2i*?8*BNzns)(d~T5|X7RU=OK zSBL9~W+mu4IyxCvD=m91kbeo8sdmoJb@5C(K3w)YzXwkbSDY4Vt#FM}U2+f+5z$`1 ze!X5jqh*(5W@wmGx04Yf`s2snpzv@UfSi9-o1DuBjRrs-H)-`^+7Qo~{Na+3k-;M5 zu|IKXdJOY`#^HL!OM4N(9UR(5Z-f(G96*Ey`(3j2jg4-*5q_#=*M0iP_;_j`AD=Fx zG!M%8S}R5^k4vS~y~5I8pg)b3>q+3&4s``%`i~i7rSLdla4uT=#&cLC)}3@9y&_5V zyfcZ@qoAM&Zai*Lmr3G~l}X`ILdIwN3}b1fEM&hwEekDkC}=&r?+2OEy z<_*YnO4&qm!;w^aEw@8CK8!oq^C+$~l& zH-`3 z8VX1dN?koYu}`0V@>qffMMg^c30h5V$IU8D_eYJoHz#XwXv7{Dkvzku)djlG?FhtJ zphU31#gvZjU#|a=X0S=vfQB1}*?vd!4IrM!0EcB<&C9l>i@+ zfIgtfhM4ZYmYtmq?%rAWUoy8M6xYcqDWSU(852X{C;ze+)X7Vdqq+?g2Vy)tygdiI zr@z&6=DPplnW49_VA&`O-4PA@F)=taXvPdK!j9$25u+0mGio`ny*j;GunIvT&f`|G_VIjbH$M3zl;VYuI>xD8{%9+6awr)Npl*!W%`sU$VQEHhRT&d5czZG zFSIHpSRmtSU?%sujD`u~${+78F$sAcu}Yh-5}h9}XT-jJiv}QTI%%*YNidwsuinhL z;&H8c3byfASsBw9U_@~<)il@l0D8M+IhV+xxqJ#XKNxf?2^i>xGHkeG2eurP*3ZZy zlJ-OpGnO>$ef%%{Q0AfGvK0e|7QuJ+*>|B>qh5jUb~6eN4HQi4;C)U0`e>Y4gUh)g zItB(A=z-mv{ZZXuYr6F!_$gg4_p(b`w-e1?l0e_|a+!va5m&e_q%%300R8=YD3o+7 z%JEa=d`T%-t{hHFxw_BMZuKPN=hyr%qXFDt{`~nCCJDkj2(B6qDn-EpHVs+WQR%5a7E&T~VbPyh^VUPro zi)bhTw*uir^tG6Wsi~o1;(j!7wlHjyibJ0kep6!hztEw9o2 zwPvH^Vb=>(K9U@{G=`o~ybmy^8xev98v}!bVgSEIg@nAFLD_bJY@vsLi%))cvAc1W zP+`BTFji}&4Z3*t@Qf#6#I=BJkCBb4f&!VhIAcJHY!b(7p+%5r41>fjo9M7XE1vhV znufJ|vy4G#!gOjCqA+A6Btisy&hnZ9cH1(wsM?K)&7h}G8gL}ZYFM|wg7(OV2X_Y- z0|RhVrel#4kypO}^GHfyLn0puhocBk9@MnP2-4G|(=?L!46q^uct2_ErQ^`C_;4{$GDbf@yWP0l92Lc*yFEq^|9IUnMjGGJ$C zhqeGRN=os^vQ$>1@KMuh-R@u53=1Ri%$?mn%}&Q!(2~iH)7rz?-!eBi!?9D<)I6+N z`uPIEueG&x(7~8`yX*;f+~*b2OA;;jQ?WQ36%8AIAUJdZ=iFlv0`xD=Ac@n;vHZcM z^U2d1M@ATNtl7;e&TW3ij*rNuPPh9FY!KMhMT6wWxKfYX+7(Y)m~zL%dH9iH0l-Ze z1poXB3Gr7h#8%OA$qot&Q|evvdVXZU5toBZs{Ydf)FGt$9Kb%Nw`!fWj;~!2Bg*0N zV~fZAuf#-rhs8i*&mG-Ym>t*mnuymU%%pzrI4zSGBAm3l(;4s0jvUTwo_UX(6ko!_ zbC^D!;z&$=v)LJBC*-!xLPSAvyd6gGxU|bkkMF!&KY;?O_aHkxEiGn#em-afVjgny zBjxI~mJHYZV3Cc}N6oa;jb0?*_P8!0Je56UE{W{jvJq!u3Psi zz#XCE;!-iRKG-_UC0VuXUU{e~DN!^y9`5D1;D>OVA9-wsj?4`Jz=nB=fN;f4;Fc1x85{ml^R*U8 z+}o`QWR!t#D<|8mggGlKNtJ9H&!yJId*>XJu09;)8 z5Y@EXa|k9r{s7>Khqle*6BDoByiq8P<6qtd3EF1Pao_a3vttZ4asa#?Y@4>%qyLxO zjWG#g3Qo>AaO-eopilx(i9IzaSSe-Vg#cZ0UO(- zK~d>7Z=Gj&OmwuoynGvAXS1zdf`B2(CT5mG^S-dv>mJevwllA&NPnh8Q#RGg&iEj4 z8v;28Ib%IYUt8x6@wQ6)ka`2S0Unz%T4x}tO5CeguWWh=oqi`I^oJAjYV@qQpARuy z2QyxSxEbt@XNM9Crh;CcH@LB}Q4a{s?fHn{)ba85=xlQ0`J-X4r<@0nNIVSGlymXgB>XROvT(UmUeI6yjj27FI7olx zeA8AFmr+YbSCMZB%k0zkUrH%~`_;FdD5`S-LlzP&2l- zyBi$`r>ET)K{Iy7i*=sS6m$agEi=k)y^v*S!rZ3kv{hf!8i_Adb+^&*QKM&{z=Y zad5GfU~>vYN*-kN3pxjoaWQ$qv(M|B^W6G&w+;UbyndX*wn} z9Ox(Od0ZVWNlQw;W@cu#oGAiYuvsfpJPaycA-9k;s*fLk0sZSICvfYRn3yOY!K~Yb zs9dB9OHF3o<_(Mdj>$VH2>Qe)6B8N$_{xIFNz#w|I=I+jnh|%irFOYrQZ!=kZ*S{8 zv~FEneaS+>wuJQSlhM(Ig3M2KKa=z})Rfb{a^jn@02)QZbvGLX0^EbJy?xc4flJ0w zYY#}!dBIAzs{@ygaF>(SPZ4SNEuJVhwkul@h@zU>?j;vTQW(fnPM4#W;r#p+t6`aV zrk^^U0X7R3wSW>0PN`@QHMyK?_~|Mx<6cV2${GM{{Flm~1QcCQ*!$l5{1k!xQB)IYJY+Z-h=0cZZ0r?*>n^YWiRBLb0R zzECp+N%1{yt+VIRjEY4fO=LrrZ;@eWxzQC5C+NS}od}MI=p7k}fCdq8q7I9u^U|e& zy1jzJcg(sk0nwnBj$_yY+IAJltqlP1Yfb0FW@miODRyQ*yrKlo`aS?C9Nvh(<2(ie zA7)FO&vx^3CF_Pc$NOg2OWnQ6e4?3|=e1D{Ezes6s4B9o-@<{CY%(%3kTZNheQ0?N zr5cAr1X}O*3hQsTljf>SFg@oxt;h zUBrF)^J+P+iDt7aI}$E~e*YheMcYC8Ca_A8R&yf2%u+i%0e3FI!F7RwQ>0q%10Ww5 zO7Fmvw8}*!q@=J(Lyn88yA<=bdp+FSU8@=;Ejoi$-6Ld4)fVIK=zgouH#Fuvs0$)a%8jVhfno~ zX-G)Cf!g;4RZwm`Mux+v^>4A>4zN>X5L&U^3Bv2^HW1i;K-IgPRy=ygv!&~SBm^W} zMHSqZq@<+4$OK-}P=I*mT5g)>+0EUg7h~0h13!ANnZlP_e_X9TfY^NnN`)F4ZK=RR z>M^V=2jzLGf+1vS$pAb{s-~d)AwxY7fW6Y!-hk4<uqu`s9cW^O(Hi;w`|PLkW3n z`tPfbK^~3d9s(TvcQ9A!a!}rT1LRTymkk+UN44s=K7f4G{(-qHRr&rMAJpS^QRT4d ziG(=#32Z1(IHQ0Amu@s2ZUB>4_hM(v{bEdlVK5{lMDwMxqJ}i^F@UIL1Z}up74?vz z3e)8|0$@9oD>={~&s7HYM^QC~o?a60qZ1JwjS+rbA^RO0+r!xU&{3w->3*lf4iGc| z8LvZ{vAGMtbi2chW^bIfXTL@5(ze6<#+`crDr$|6^m2TsFJXYYw&{y1AWuKOySw|A zs4=^NZMO7$x!Fx~`QETH0r;AuK)yL7lwRL=_#*-KwFWBHsT_@MQ_CzU=cqJ)#^UyD z3kwJ53DFOIDo<_Up5@)dK>z}=ruD$13c&#|yC_QYL_iCpYWg=jUqo*sKWC&kdJ zu$a#>8UBlJ4`FOUWP3a(p{IXK`Vw3lL*j-rNDM;&aEPQD+m%);0=4Dzr?*pCC^QlL zSMMmJf`KRwTU^wry##_8lsGR;ve(lsjHOc3;oh?k5`*!u`+I$$9QX7{Uryx6b^^!% zSA`@$StXunb8C>0kl>;bGghozm=w%INg3eh_i}293o1%Vpu50Q zuYWF_Vlf!N;-vLE-~Yjqz~{(5x@&LQnzucYc8noyva;-%8V0r6^s2vW9!Yuw>mMmh ze1a~df)kkbfSnVZZx3w@GPZX8U}ExoaE@bcNzJ4JbA{Pzv$(-(08^}9kC$S`!0nPkG$%Q?Gh}3CDVUifp^I0}{R0^ZBgO`X7$=|sFzfgI z7B|ah-}+93`T`!Agoh^)z=OQHdLhFz7_w|Qnrk0BH7d2;veVJfm|R6@XkX7P?r)ns zS65fdqzN>uomT@paF-UO5D>e609wV11ftXz6+UyrwRoWvsZ|Cj6)NWse*F0H=A;u9 zMBBuXI+T?sB^)|!0YY(@!tWzsb)W(GtaSz!>gZ7UZrpm(e*9>wuKb*OcImMeJU*^K zhZ8bb0kRDUFwO0~!^Zaapi|?4Re+1Ne8^Ag_qVKU6yh<52O_4Xrsn?qc)eG#w`Upw zv0zE~;>sl+MHdLL(j5qBXcM$tYOn$0hH+p61MUqSv7AFjRPLp&b|(UZF{#b~u`RIl zXE&QZ+09L30dW_PAo38F>oR7ma6Z)q265kNyYDUdoobaaI_O_nd&3Q@K1lIA4j;i7 zi(y8~jUK2qsJmu=FdIp)UcqjWzH>x({ntz5w0dH#B50RiH$`ZR#gVo2h!SO*;N85m0EL*Q1NoYtH~CHg@{~`3B{xz!?S_v`3$X z+4)tgywQeg`9lB58nGIm&P%tt^fP^2-lt7IWy8fCeZUZKJXJ8OlW->uJ%nc!U zczA%)ACMp57t3qEXiHWn6%C z(dy+TLx~AE+8PL|g+1{VF$plU1i_n&ZgC;1zcxYd& zYrbk(J_ara3IMGThK3-}aiY%7Yz>DJ#bjhcdx@>X*7lzg-IfAS2&J5zxiG1|Y=Rt+ z$Q)xb8cyDD%)fQj=I{q-7YAw!dNELAQbAF%|KC6Tu?#WO1)2M1D6B)TWCH@}6~oos zEN42yl;dj$8e0%t5Z_VjvnSw7Hy0Cf+}5iwK#NtY!)e;NfJ(Xr8w6!IV0}*4=F|jM zBd~PmercmiIRE@%2ItgLu~o_y`? z?F3xb-eATT3x+Aaz<0}%EZqQ`)n8>YQ3o7B=hdGGK@kxUpuSY1+>?v_!NUJic;h6a zD4~N9P>N6+KheHP{FJ+NE*OxMAgHIBm6e4E{BWpo2q3cySj!NFSfEb-bI!AJa^8Rm z>KG8x@F72D5Ugp@H)ya|6wwc6XH`!RDn}Y(j&F7{BSZnyhnhn>^VNknn^AInINKNY z<`9P~1rA_1tpiPq4W`0hLm~k5^yESE=;rO3efCVT^-jN1VV*@iP;U98FkCu9xbU~CY_(1 z3qENy+#1+{47oG`(_nl#v9hSBs3p^?*Xhxc&cOEfliGlGdbUM-*@D>w{YR*(Y zZU7rfF(gBzQ><)oV4zC`m7g5w7r(T$w4KR(MPIS9{f+#;C7e>y(qh1ygwfbDn+F7{ zxq9RtL~nAv9nf%Wzz|QJhlQyPz5|m0`Z53kIDp$@0OkY#SCn+#e>9q2ovKu7^+ZqKbSU4eM` z*v-nB)`uTtXZ6vdH|&choc60rPq4D@SB^Bh$X3_o9_cXagT%}4)-9{ zyMB|3Ov1H6ujhM7(UX}{TEKUoTU%|8%S6kC8d)et08u9cNcvc|G;XbHJ!8{}55PRE z@5R$w?525$H6C8R@Ndt)zifQs=EzRjf{woGY&JyY<$oh0BVz%GbEH9?nKk>GmNVQR zcU*h7q6fyxg>?Y0MS&t_dWQ_1ef;M~17nq8fql!ZEdlsfA?lX(VxU-FXO2;W`t8~o z%j^cIzs_O_{0-<-WzWd?k!*Ikg$gWZ#tga!7>N3TVH=Pi*g(Zc%r?8#^7K4;s1VDg zrQKg2<3eZE&@Be7ejPMO94HjPOuEJhQ?sLk@O%d-P1)9rcy+oc;m9Ujm2SLfXgeXx zc?wv@S1qmOdBw<^HbAl@KYjWX6_xbg=@0G{XW&)1?4$>B*={0&2_3!TBBtI%?EfA# zVM{6~_!tM7nwkQ`mZ&c&Jk@zjew01`=jg~6J}3(S4stFqZlj~4Pk^CR4$fYbZnb}* z{68m5s#pNr>RlboxdWaBL|lW@@i5@tyW@ui**6kh|93THmhJz0m}O}|w#~3IG9^XU z+S)qALG^zQ!q~bal2X&sfykMZ$^pn-1_?*2{#{9O`e7OiZYV7S46xmpjRiDuK$JHe4!oYuiP`YO2GhU^jP^O`p`a{! z1$m{v0yQCBcUUU8b_?SRbq4+P-x6uxFG1#$tD73OmC|~o$SuMYl?jIb2gad*TcOhl z54v(ED4xE-!Se>-LL!2(q|!4A5#Ov2D>SDh)w9Y9m9zwQo@BT zgUk|{7O{Ver&Ud=tQqrYX@0U0Sh?kXUOHWg;;;(d)VCREhyh4G022utFPF=t!!3p8E1FeI@cXAg`hqSyf@P(ZDm0f zOo?2$UmUv1;NOeil2B$M(W#qxd`&v5T|w;a;(~0 z1o;@~`%ni2oT6BBaF>;R3mVVfInWT8c5q+5&6{UEmS6fEt3Xq(MTe&*L?{;$@$`g< zUj!qw(wL|sEsplBD!{wp((amZ!*>s<`AANWo^(J1Maa{Ds5$m2Zocg&mC4l)y63Rf z47ofM0vVT^%XldqH2Ei5xVQen$E5b@REM)vzM+xLOuP2Q{9zM`isQu^^77tOrW70; z(*`c)=5*ZL+(fm&GDU($6wDL}(>$*5fHntbwrn^1&`W!vo&@6Cw@S~TdYptuM8-LS zvFGfu-0+FPS+pl~V~YXQ=kI!qFl?&m)UmX!^D<~~9>p7t!bbffX2X{af+=&CZq$Dd zAeel5Di5?Xus@0(lKP4eUQ<6~!@PwPxeVVvR*io>avJ zvP};j^s#piE@r$~ozrkQxgRRDY?6TNXEhlozjQG%*?o;0^z%DC-UqjoQ4guah$)5P z9`;&2X5vhvmD`v87nX-KlH`A){`t1ft7^iITsJ4n)neOaJuu0=bqP>;_JlRhF2Y9} zWEUjJh6{QVl=Jsvn#!Lybs2-I5%=nKjJ|PaB=kie5-1RuCJ#0t%dqx{`_3H@%W5@l zw_u~ELJm+1KQ=@y@Qo}rntP;&2;IlTWkuGuvsL zJp(Bs`Lt?AwNI|rYXB8*C4I^mUAT4CEn}v4;KUXLPzr;Gn^PFzJbOM~szB#NX;(Vc-{%?}Xn`<&l1$Fu{MMmM16fU< z+dKF1(WYixk(HN^Q%;T%B{M+@L8Z&dYY3`ugm8RBIh-4agpDMBN%0#k8b;{4?+6;C z>-!c25^nN@F-ap9j|qEaV$Gr3mE@7gvk!d40>1}qo?g;?SRIh#QZ4w_@wvvN{y~+Q z)?Z=XaNOz|9S5yAcJS7ACXSEuf}6+RNdaQ}cM~RX5Cu~gk(8M_a;MFhTHs})r{4>& zlfdDD7fOwYtbS!T1=_R8t$5zc2EB+k>!u95cJ!k6n3z+zDdN3r6`lHVMzoM`>g{nW zD_wU39z~4v!;v1+&dq~io9|@5;rZ+kjbVq8{uUfyO=$4^2ov#Lq_2p-M0w9oWYp(3X|aN?oCJ?$LAIwF6gAVZmork~W~- z>xglTE5j?oMS2GVSN+uWPB>`d_Jb*He=$RDS&dJ-W+_QCbpVI3nqHH;f@2 zaHdEmnJW_L5ft1xy_bOt-*64|3pzsAzrtx2l*Uqto}B6spnJ*L9)C zyKv}K+wLy+cbAuHeR6>E1g5)!f`ahp&wc%T{F1c46K-Mg?w=#t+P=x;3~xdhNjbKK zU9a48t8*zMKPUDrwJr|*D#E_me^7H6`uJe)Nz^;%7xrX#r-!ZVS>A)Wa4a5l^rq2s z_51+4=_A3`SdZF+v&j42_%^9G1%z8x7(+NXg#F?Oqn^}p@CkD&F@vGWd;v;ImBTwD zt-6`{C3bP9?B7FqKE%XIT^KuyV-96+DY@g~bxus-&9+8Y!wr{|TkCy=r7>hpdVF*t z;lQ`kq&$94Sh5~b@ksYiyH~SUsxG&#%SM;y#SBGPr5K}g`)uUtyu4}UG%Lfb)K9HI zaYR3HUoAvBhx_-MU;F7PvL9#}0&GDlNe{Zzlm#gi$AN~RMuBpP#%?83^h0I&_d+iFn-4Gw zibtLLd!n9C7`Ep)W9es~;9e-Iy98kL3nnif%2yFLXxa-q8r3dOshZ7xt@0HZ^H@E> zryl$o{*@|7%2cZC4FxOr`sj-Fj+Fy3|HIqgtB6W_s<9C{T)svM2q)_QegqsmB*b;f z=-=+%+U*dAeiy{uPmdvxvPAg)wqN<}MQWS(!K zP*Pa&HWwu3z6lw!M;nYPc}=((uNQ2|v?Nzlp7M?xNa7P4$I%$ry&T{;j3uj!J1`HU6<6cLWB%kHUlijE%nVVkmR^s>d`uYWVEpaG z`&Qp^3f933^PeZ50h0KHCv{_I)J>i<>)<)3fz0ByxT1Tx}wb=Unv5A4RD*P1yfq% z;(NTp4@=lAe9%`Fmz|UG6E^;aC0GRiVUW0gzDlD8|%i9jCwojfq zq;I+0sjDS8g9;|v$~MkCVvpT0Ml|3rJHZCN}Qgh1@? zkv`^CJDbgpqKc^TNTS15MIe&bTag@okR_LRIWBM}qbnO@uHl8ETqyDlA)#Tk@fsNp zZr*J!H;WzmAqQAL{()YaLWZo8P+5~*NyLT|@CTY|gOo;UWDzQ~+zZZNK$62{fv z{_nx8CyN8VvOYtOUNIhAMo{R*Z|9t`(dMPkELV(O+7LMfea@hx*E1fk0-poYug8Xe z=<1Ju_7pth)joLenUtq^Nx@A%cP_dAn7-n`5K^-1`c}oErJ((vf$y;QCnNbZ?eS9# zC4#H4_p3JVGne~*-;fsdeQ%$J+mblSPGJC?E84U&rn!FWV1ULzZiYq-~hKzj>Mk`gF8r;*sQKsr1tMfj zHW}S17xBsBl?Kb(2VX)x)Y6~+sKN?78W$xP8!D*?ytqEYsD5GDjoarzTWDRqXZn+9 zB{U4mU2F4m)|SnQuF{lI+11Rn*;InYh56;vw#0<>8*PR{FZg?W+g~O@Y|F?o$vW}0 zw0hED#eX^Q;Q0B$_yi8$aNeKQo}LBdAB69U)~R{-QH^ibBYy`349MBvlcV1Pou%Iw zKTO$Z*6!at_8tFQVNGjc_JIA2a!H2LJUaP@V?&|mbUtw=uX<{nF(+-th7r{(A?@n1 zKXP5lHiVvFdEsZ}lg98*pEu@OJ_BU3@Z%Z2pF^0Lsoil%?>y{x&R!p8>b`e)e4~^3 zcU8sK78m2)XzJ*weMKb%b~O9k&d=Wkr{YhIKlmKYYmx&7YO2BXFSy?QlL=>MDbcZ( zF(5Z@Z}C)lkwSHtjto>;F~dJ*f6Jrx-fx9#M(1#U6GHTLvB_m2eM5D}oygtOpQlB% zaBC~eId9P0qy7gwI}NVg#Bz4oDeF7u_wgBRXvp`TKbxgpSOmh~W<)m(I~Ik@ZiJ_g z2sytIox+YMdc;Z?B=*-+-+A{(D!4VZIz~+uEh`|0g~ZYOyOUL|mPqa}ZhK8c5VE!H zAdihsAd;GcJ@y7~`1M^ya-=mp2v#|{-Rph3nHRq?{@C)B+GqOR1=`BBx~V2q|6yH7 zdF?%Cs%K@%y-*=F`$y^DaHhe*FimEY_>1_x8hd@UK!m$7b_Tza({}sdw>gUDXoML) zh@3PyQiavOwptnCE8n)xYmb_gUh@zaRwrh1gHAsx@lDB~p*SL}Uj9v|A|mudNCcJ! zvdy~1q@>OJU2BHAx;@oBljMJDe%8OKp~fL82w7`vjOqOu`GdW)U2tu~M&1QkDw=H6 zk3!`1lPVt`O363BbY`siwDzR!POPuu1vEd$Xdq{&R}n6(=WgO+xsi!!u*a9Byk+og z-(Qx|lEC=I1dbE07hhVHH(Mi2+le=RUlPXPGM4X>JsU+Rk0JPR7>f#9S8%Rm%!bbs z=mbwv%M$m3LW<>c))+Xz!y0hZqlv!5N6{b>q_PWEonwfn4jZeYw z_9ZcD1x2A>ii9+O&#Sv#Hv7=mIqDi^WG^>_cW`iJ?904-*H{b;7GMp$B%npAOAq=XL(ARC7y6H!QLz#Y{#NyvMc_P7FAv|s8VP_3~lVd*%|+iz4)#RclU2li|uR5j+F%PGZfj;7Iyd52cbjCosl2X z(21BsSO1n!IaOdtN|&D_Yy~P_hhVEP3ayy^xQJrf`NAaToAy9&i69$8(dVEu<^oHnv z10Tu`1TcItfI_|q+G_`PnK|w3HW|vG*L1bmHRm3h$*rxZnIdK~$079lH`7msl-$3?GvSQXdFQVaLb440 zYojOY${Yzi=~MXS-v{%H79;v6$2O+L#AxRlj}3f$8d#i1Gol34gR|yli=@mg^yaQ# z-Tyec^!9$@?0DK5IBS{t_}n>PA1)^#a$6`DcfK0x76Uf}X@PGGXnG5SEKQJuB8{vt z(4rq>#9edA`qAqXv;L8CjpS=t*uO^Kx=r8dgpzdqovd_Y zdi->4;_sw$ySBA=zEMpuZ<88Q8vQLnEl#Z~@rBrf$KRmCIg0q=k~uP-;sDFj_6sZG zFV9zN7bdul!v24$4%V3jj#$FC-N9}@ziL|%B&w{B*Xu5XMMQcp6E{3k|5~I!Kcwjo z#%n3$FrPxMNz==h2-jIz`h=jEntzE%Yd)5oooRmicF?Q8XU&pJ8_5Ln|5}D zU$Y5{Qjd;UUq3y8n-hQDw7#oG%5+kA2OE%Mz($N}XqTU;I-cGsvbn|BZdxpqIW|@Z zVSA}uV_uIW*b1i3?x@AnqbDd7xmeJ~@7-3Zju)L3{pXKEbhIU@z>_T_uXWec=GG%M zZ^7qzO7&Jav$xTPG?wed+MUg2Bt`rWCnV;{FGP+5S*bd6csOnEWCv7}UfnfJLokI; zc8DVsG!*|K7fgcyfu~SVW`i)k+pM__nq<7}yS!TU(8=O!x~rY?NrYoT)`cBa)IW;Pav_Fv!GL zRDZ<^Egl-AztBTJCJS>v;`sJxeH1HC71qo&oTIEh^Sv)t;2#d@?KfM`WeBTn#J`)- zW1rr`FQp@j$YaQUM2ZQg(CN2sS0BB0&EBy)F4S<0Q%ddr^N#`s%F^Pm^zc(UdYZyu zE<$!8WS$4Hod>_nBg7!A(k!r(WE15-%S91HqqJj2kP5Y7gmTC7Q@-M321>R|zTA0{ zSMd$~05`OCxOJ@lUMj46;Lf-A#?A`X>yY+`v~qBgL7B8UlP|9*6SdN9$ZL+&vJG&^ z_FikPFOnN%C>f8`t^y`TM$pL@!Zb3{r#C*nZuuM4^O)C(lJhwK?Q6wbG!>>xn+zxZOB1ZvQD((Lw%Qkqq>ZH_&-sK~9%BH=LpFifQ zik0%2f9vP?V#(12*A+(a;5og2eKf&Ykq@8kn_2;N0fTKYAlB1=G}BeF4v%!h#6?Q; zv>qI9I1A{MMBjagcNnH4(t2V_$WFKjKAKqNtHP&G>EJD=@EWw~egB4Z)}<;`@OtYU z(jq)fK%F&zkSMvxOc}IBn922l{?8{GbW{5FsGn#)^y)`#l>aUc&m-qCsz{}zIPErr zbmRRBU|zw+D> z5%(CBhA@-fyvo{k);S0~P^Bm#J{?RBK-eR8k1K}%vZ4{bgF2{lTXPIPhw{6m<{bh3 zBUx8)@H^PWK_cFb_lvTSli`1j#zes4E38I-pCRpxTeE3J+A(V%XKPUG-+G08wosxG zdpO`UNEwcDW#rsT9pDhE3%;xis}HlNYNp73Nh@%K~6n@_8--iqTeJCUg(HcX!&bC_;hFnjs*0sZA`RCZEK?Y&K%WlY#VO=Gz z4WCkPt58jjCvHUiV;*W~<5nCYm9Adt((NXhX|be)WO&QWztB@Mb_w23njSy@`o+Ju zvHr(_s9Q&8jRl410ml2`Asc4rGCk}1nV8p6KwM|-*gIf#m583jNOD0KeEj`op!%F0 zp~%*Y7Sh3VO|Ag{w;5UbFR-!QsHtxfc6RK(Tz~-sZ7jaTw6%s+-&_WwNXjP~oaQtB zclM3r+OwDiTm);XIB4*k^gbELJGLzqbTouSOARX(yde#Q0c&j)gkMJIg!#(fpFgQu=z!;uQlLtg)!k(*_@B zV#>=WXd7_TQl9Y+eHYxS%sF~q5i*bn5x2E*ImK~%4^hs7PeEoc*xfj&q^griDmcUF zHS{p$m?4Ysi0WRL)tj#etP4e@#A((&KnLNA397{ zj+9wYzZf02s04))Q25qRPz4aK(BQPJzO3`W(=S%M!^;i#OZc#=nxo)pxZ`oOpd3f7 zi$UTNzuypFGN8>Lu0*UzY(+EM@shHPOA$RJ&HUbvOOfEO>S4*DBYm3rv!6r#ejme# zGHXOJN1?PCZ{zz0&!%)jE4;xgeJr^x6Z{Z*b40;n;td6j1>MAA4gejxr!@qz<|Cw~ zMdF&d6Q=Ke6O_E^2xl%fA~X;B^(K&ujz&ubBK#y6PH@Y3e=SGB_kdhbfTF|HHClV@ z1@pGL+T|tu$9@5EJw7Ak+hW<&q%4E~_##bum)<{}6fSe7?a`cY*)J_22btPml^lXP z0|hC#Z^JPKb^3RE=jR5VVL55b{SO1Vro)_HwzT3txgrQ-{J4h;+I#td_*E+mSJn4& zONlI+(_aGe3W^y5%iqglr0gh?&NyM^Eg2xs(@(@Ok9zl*M!)pr7fAr~UYj^fV{tjr zM~Nfa4oI{7>tt`WOnAUHA=ImHF z3a^W{49%{ODfAh4|PVY8LYwx z)M$bqfXAttC>Hd`6V4&!ehCiGq|l|cNb80A$p`zksIxl~<$ zKMc4_nMuFCM7=aURP5GCz_n2wDR$?ZR4t-gNg3%Fnxk8Ykq|51=+*Y?Z{uFl!<%6Z zPdACY*cBjI_dzNs%`LV9cXtFgYHUHoL zd*OUsTtsKSSgawqz|C-^fTI5;vtSPm(7@nd_#V1cble_jaGow-Tow;?5yKsbGtYgQ zN7^`RKUwqHx4x|LLVD%43d!AvH~E`%tlP%$bl_ff_yLCDz?#&|Zsw0-m5v~QPk8oAb&Dl2Aq{8Gc zFUPgn?8^nL4pB(spc^WTB!g$t$9A$DWxlPO!BbPzq z|G@H+nY>*3(0D#SKNG~-o$rIP+Wv%E!Qz(v5!p@R(hyL4&)Me}4Gq^ld5)P)M6APD zfy$ZLJ>Nw>DZx?-Vvdx!<9HA9YJT~v{deTN_JiM#!AOjjh3Fwv^$Ja0#0}w4jalAQ zq>=w2v<5f1*HFi`)%(-jfyx9Ks)>!uM1FnPE+eh2$hIuf zbJNzvruYL-GZa7}M-w3-nBRrY;a91|%ml~aUN{$6(-^ZMdrDAjZI6JD#ToQNgh^~l z3^|B!wL-SG&oVjAl}M2ACb(*pEhi#ncuqTI2#niccGz75D4d-v?oA$p-iB@&cYm$E z9{}UOu7q`G>c@1-A;HSOK2{utr;j;wEJ(CdTj{W#$t$#}(sz_h)D-K)q=+fyz3&s@ zcrox3OBgs4c+jynwZ_HCPW_;E(igarpMF^GWduAH?Pkfj{P>NOx_`~ZB#%K5Zz)O#-&5`Ko1A0pPicG8GatKe2rAI>F}z6m(> z*uBKVXUtbnGh6E|=KiPc6yJ)9l|T66!9ID3KQ`o^oTwCH| z@V%(p3mz-FH3`jzc)XaF$VLix{|{Yf85Z>xwtG-iP#I~Elx`5DhEzsLC3WZqsiC_O zfe{d-K^i56pEt|!hUabj z;#YZdp<17d-=~Fxdd2r!sp=NGN?z`b%h2OcK}etZ%^CSlI>sJS){)Z5IEStsUWa_% zAq(riIsRL#&W&Vg@0rbCjsZW@s#)#lI3G}v>a3TunLmIo6T%FlSJui$I2=e z>pD6*d=gQ~zq{_d-b7dO+m=oBC4sDPYX`K)#0TqPJ!!2zmi+Cwz!>6B4f7fAG%=s# zc+wfo=h|xoI^usy{}f8rCINA6YQ+RUg6_4N3eowybIB9^#>xp4XjcBA7>_avX_dRL zbST18T$p4hY|3XhXT*QVIl9^%^+ES*TASHbj2!L*i$ia~da2SDpp@!)=P*g=pO-hx zPp|aL6tk1tmt6{$qxqF~jz)JXPPxpj=T56?Zz^Low&|Iw*AJ9+9jy$@*|RN{F8t{U zxGJCCywA>au@Iv;#ah|%zs>n1lP=}tVPK`0<;YZI-3y<3lwq>0gN3pj*pgS{2#f8r zwsC=fKGoDfB%U5 z)DYLemorweYO`FI?3esUD&{5`(LMUOppqJh(T0W!*2;>G_c2T8mKA>M8f#W{m}0mL zxN$>IOA4KnNsze@;Lp6h$PpL!ML!2qkvHwW3Vr%8^rP1}TR>?Lfpnfk)C+cdJ-YI- z*EL#}q~yDFN{M`*^ZfJP(>>#OvRPflixN8O|Hs&;0}* z(kN>fIOVaaCE{-1iZ(N6>2|=}sc(I%Wti+&k}K`x678fO=lrmY@ZjQH@YOwvtKhr; z>Ef2)$R;(#V=N9dfX|d1*@#EuBz3o~)zD7#LSr$P0A&PoF40R29KZ zJ=*nqdfhUI|6+7NYOyM9ZY{^5@F#qhXjB`)HJ{d+^6qP4zcb0wE(viPzB!YV<X#PcM9fH;tK#N_x)~CZd4~CYp_(+DY5Z?JuDYl@Lm; z?-A!$;0K~6of=nrFJste zRv(BB4G_q`nQ&rLL`tTo%l;c$nYY{*&0Fco_1| z&^f(h?90Bpi2@}mwkN}U%??O{Nh?^=)AQ$ zf!-@-iDzIY|5NLxnk}|U63!V)eUofcr*U94=kg7fGv1zbB>kr}RfUdvJ&Iev zm?QfokG9A83Z}eq5JYg<$eRAAmtQmHk6h^EF=*0^OcsB=$*ARy=&8($MaSp)T6x13 zLl&1CQ_D8j`c8zPS>{kmUb&0Id?WJTzF8edRpc}|8b~s@r1E{3J}|C~|7)ptPgy=s ze96`w0)o4IbDM38kPUH&D-VvMAdncWs6>fLMwUh@WAxJSpLagZe(spNuLO2-(Dxb= z{Ki=q>goVIhaPbr{%Rd-FAXd4$n1KJ{vG-t26^r@WsLAQ8r(vMZ#-Y09AVv>)aU`H zVi7k3s95el@V)(nFtJPT1Wp$jr=tS6AAc>s| zlK?5y6K9|wAESFC|@H;(DJ|cB9OXSo};*N_l!2GD*DYZn7`knbM(Jz6L(pmH5*fnC`*B%4 zs-k--j0GMzV?>^h+ww7H6=XE42}v?%{cdb%b+oWc&i(WfHU22P;}LzIm9>OCRg>BS zy0m=FsJ(@i29c8--q@RlVn>pODjmp?TWiFfo-2}tdkmr}EAqnl%0ND=C=mb;*amkS z6dFSzs;2*1T@mJ7RedQmW{%(!olKvR&2rrNZ5nX7su97;|H!u~ic!J9#_vXCX_<$a z?~iBSnlac5Vh;~#+B$mF1f%0&jq0Fnc58q+GYe8zP_rnCl+=XSobvsvt%jA?zW#NW zZT6m-!fRTsEqa$gB;Vtb3)WSKbZeU4*63zlg1)#CtE95Ri@!0Vb8AD1A{Cts(+6XY z7U02LVPt#PRSArp)Zg}ZpN&+%SMmDnn`^h`pmomUy7N!il7^On!8mcolfIBz;-4T^ zs_0d+tGw`!bVivQk-Lz;@td2iI5=4qD;3PSP>dWYum&Ih@jZ}$ww(Rl;zmB~KB!*9 zW!6pKRXnj|B-wTqm#m*I7rAr^HP+e|fEd?_#amYr%-sQjyVBQYT3-%WovN@fPT&$d zY^1`Y1K{$&J+`hUP3M5z_8~@w$CZ^%D@)Xci9>ac>9Rm8UmWMrZ}YUa^f6kOTR&`MEBi{Zc5$$K;MRw!=8 z1F0e~XrA3WDH;7*K`#`T?v>)Z-+D;Lw4GSBK( zVZ9%N_f$?5S0ON4ssP;y59#(2&{d)8TWhws!phrS*j+r&u}h|Bk8h)giB{ zvH((LJ1Vd3j4+WbUv?_<-b|m=bN5^xsOrj|qqt<*U4&3O1FpjGmO+|2?O6?_u~)Sn z-SXR^OC~M+exYaT@Ha+A9nys^XK~$wFN10V-c1z%bt-5q2#ccPZorjzLPUsw4ACy# zKq+N*ZYirn^|c{k@pXmbju*A@=uz=AF@6UN{ttK0yFXK%HOdoOk@|jUbe?;qPHvhgL{nPB<-2@ z4$mrZO%?~`2vXu(8d(LI%a1JehFFT9j(9~bk^_w$N5Ved~^*LY}h+)&2JSY&Jy z?uKBb!a$(^RlDP#pDX6)cegG`1#fPCrxq6=PDaINWE26N9RcJ4CdmINA{X+vUzIf1 zB_5?jF1@1u=HdiZ)P7uW=l&VTmsa)I>gLu0nk9QDydPU@Y5%@_e(hF>HF#->T@ ze4X7bR}ZlNYNY!)xGmISx3^OfQ^0_3Om!&qRKO^&)8+vOsRPAhf~ntp+e<^Xf_)UqfYGrBMI(scvsH|_s z#iBy=MgiLo87~P6lH{<8yEvYubr9z-dO%|m5OLvs{Utj z`kJa0lU>i_GaYo$7c?iQ93e7LF5=VGtKn%aEBobD!5DZ5?6EP~lIb6Kc)M>bEDRn7 z2Nwsu{G|;Z$g+GA@&53ToS0S!*Y9RB#*=F}LuU%AGZnTkdRLTaPZdqw3r zO_XIqcJJ@py+zrcr0Gc_mFqO!E^7tsLsJ1aJM2FvdW$r(Xg^|>>hw?b9J<( z++#~;WM_9nuT?M+rGsti*L!xh%kZ5UIwql02G3LXi!9n+b?FcqW-_^tYU?HJchyE;!%LUz zlvMAknSbEs2PB>H279sMVxLsd`1!bWmye-awV<>_p&Nc`3gu!eUaU-a<@38D#JY9q zJS)f%E+*p|X=a)9qT?D}GW7!&?~kl$Ti$qD#LNFm(F!dqYZ772cVkg3HX8bkNTA#^ zvAo{bGtB2h&X6`A@ zwP>K9chj$WNK0jRxo{p_EG}SE#0i8Neq84lz^qm9$cp?4So`TaH%7*1A>xVGPdric zCViP>EPpTeK3*Rx8eb8=UIQnk<8hv`;P&hv`L7lXQ0D)>-qH~5 z=Y+4{7!A&oi?||~bDAK5$VUg3$-%Qd8JZV?O@uldRkxEx2TI?-Tp$vxS#ROAZC2d5 z70xlrNAUt5Q&9Hyq|V^F&QUd$k-_6M$^)5s6znyDQ9EXYpRO&SgbkkL^5664A)LRn zi9ctT@k=eF{XM9ln}II#dxR#vtk|7yWFSe#H*N_Y0r`B_@T%EF{Af<7$~@uL5U@v( zcbsMUUF4jo$5)rxEpYljVOjGAZx{O1nJM}`I483DjmxLnjT~aC$~6_Xt`p81Rd3sx z1qBn!y$$qSL@I>56Sx8tZ8@#tMZX;J{(dhANloJXTQ{OyrEC3|?f9 zC=Grta)h^99A{a`%FkA`%6b>NCYp0ak@oM1{krEm44fUK43nZdPrvw7e)ZUjop{og zw?6EkSM6%gFZx)+T^F3cnH!S^76QJ`ue}N@b3xULaj@8sC8O?Qg=J?I*`(U>7|VW6 zC+AGhwV~VqVyx{;YSFQ$&WM%T@P5$AEPpT!+S|nm%rGUk$Gs#*dC%C4CG6@B?-5Ml zIoljDs=i^dWEz?LS{^g_{@p3Z+TPc}0G|gXld)b~KmN?H6~H?%lF9PA3p0mYm5mr7 zwd5f?Rw*Aj0l`pFoH=-&^r~}twy57F)B#P#?Cpbt8g3e?BFAvoj@#cp%=i3G@tBp9 z4&{ASl4=66DdIy87!Mn>#{p1CxkJRE)YbcThH5|PiY?OQUdCW0O0+V#gf&J0-c&33 zeI^{!*}C-H(7-~(Kj-+7>E(^f`+1LEaU|urmDPi;{wqR%*PVJaU#y(c9dOuGXl=*C zRCIeALt(0e;af8@^I?W!yk}{V#tx5j#clHjGQnA2o?Ihu>ma}UmZYWVRnM~T1k4cU zxc>FIb?ao{8y7s;doP78XBvlZ4_SZK3^e8#)%(3&lTsj%%14<@%Wt0|LD>NIPF~hU>u1}4RRT#c zD+M@L8MPF`+QC(^>JY&cy)3JZSptg;kg(*E>^aoz!`{qJ2zz)Z^$&U0G%n=nxqAim zxD%&X&DWg}!DwRtu_b%!ARkGR-I!wscn z`2JauF*>iWowIVP{B34-bE||N0fizl(MiWk0esLAD=E5yf&!hbp=fm+4YZ>=7t$5& zNNfzT>_Z{Yw>*2{u3xk&q)v6$OTdPtLgc{2>fgig_tLRz?ye`}aeaNI`6v@5hrV9= zyT?JFy)GVI*C`MNYh>H!)QkSd8tNZPKiF0kGI{mDHC@#LiXpCFH(4nWv|#{yVBAXqLaX>$h1 z1c0(lA?52G^9A_!5&f0aLY=6>h?D3@V{%XZ!l<+`L$BS)0C0Zp;jzC5e?xMnG1%>2 zi`Sp0HvZA>OXRo-gK%T~8IhZr6RF1O?<8uc*{ql@wE54O4#9G`(~2f(h!M88>z3j5 zUXLUbQg%cNo{uJ{V&g`#hDJxfK}@>S2ns@R?z)=(_O}c9Og%L{5-q2M%e@Kr#YE3R z9Nhz;r)of2U~Cm6wpTzhZw=)6Pdp5q)(8Fr871<41c0j}fKYp8J1gS4H~;4KXD*iZdc4#G(M^P)6(_xigAb|3fCw2Fa-;!2Fvx!)6MTnJ54JGeI%Wb&Ls zWQ>eH{u%Ki^SsJ;u#;zM{Pk_=DJN$bz^2u5qo)vw{qG;?xaU+=#RKy6Gmo<6RwV#V zaoyI0qqJ9D>e$tD2mqo5g`V#TCFP`)Q2H;$2>GC<&GEBPhe)H>sC18NI!HU!tA>5X zz1Ycu+-bfr>Xc!!aU6OK?~!52q9(t0?a%Fmjj#Jxh$&5brx)V{vl-AnIlqp+vg*qO z`UAIYsKA|tc7w(9Z`jYlL-fuScHqMpedQs({qJu#LT>E z>s;#(PXiwOB}-KYke7DD5WgH9%X$xs8~%Xi1`FnZyuUgu!+jcfbE%x)f9)&&n?TW1i3`4vG^f-HVo^)8CZ4E3ESIie)||Z7)cX`a|*`MMXP)L0Gawxh+&3 z{sMCTQ-`IOWo2amKL>~$!Whs9hPrqO7%r?k7?ueJHQ1LV7?#JjP<{fa%Y9k$F{A4s zGF4&Cs>4u8!h^>iZ=8-Uu**NPNtP*#qe3}tu&)gzAk4ISa;CN~?nu^A%ShfeNelR4 zEK;kbCA@h6Pfg(`?nbOpz0K%UX4ONJAE(ksQCnWGr4J}y4i3}pm)`s4SOagM3E;*~;-FcUemL!j zm6n(wujPTm@-bqa_fPlg6>+vE6c5uS;`L+KMt#`c_P}!9y(}DTm}8FiyTz@K;{})_ zmjHLwS^4N=^K(y6Q4AkII|3ws4*;ORaj)U5Hhgcok`tggU9?UyxTdl){&|me8cTe{ zcY&V+i{18|!n*4OtO=ziRC`lBlqmAvOlM9pf|jiltk~KhtUGma+QCy)vFkRosSgdS zzOoB*ezQ9n9-9mdUwCu_Y1%mb{)b>1+y6VM?3hgt$L&80lAqBm$IMVQmggxCfnBI- z&mE_rQd*CU%8PH&=(dgnoJhWR(Wq5`7fHmNGrglB?u-{%BivM-knt1gYAP+#M&A_W z68Vl5LOk6l!i93cz4^AuKt`w82fRmrEw3n&o|43*hYjaqQ7 z!N7_yfF~Xdz^r9}GxNV8xK9B0AXG*!uhXGLEv;UNe8U^Cljk&PPl!+kb>NrpKr`E@ z#I0hqUa;cseD9>^H(la`JsR7x#F{BS=;PB(nCI$PM|VB52$#IW1-d^)^taU~IOQMR zUcO6|_sDdd?g9#5+W1aQOwkWBcZ+J-XL1r)r@|s4F3N!+@BJBCd~taxt>f`OKTmus z28{Oe=fyp@pT1WhS1ucK<_1=ir!(ViE`!GUW}BO%^c#V5_vrX`(4SYB%^Xe~+HmcR zi3~`X?-5Yx={Og04a+#3)M2Me1zYshI^6oPHj06$Z;c3I+9<0#>nH}7=|a6-%Dva|aJ@=-;$W*t{BqfN=njWo z7E!>A@59x6rFZYhIwRP#hnALjY*we_m{5vg*AGw5&fF9kuthwN**ty1kWvcMBHxMz zGWClu9na<*ExtezGSZ9HvrD-RE#hlk8JGC7g}UUOL|uN_y>)H#Q~j008$K*TnF+XWc>=|`iw5o8 zhWMjek(Wi=A>N1G`Q?Lk~9aNq+NDbtv; zIAAdZh#8KY%PZ1?kmAR^KQygFS5@A~9l&wwG6PA#bv&lJ5dFr93pucg;DR%M08U)Q z##<$y9>Tu-3;8bY~{L$QXPnw{#_YX^a4A99d5+yRa?S2x%&#Yn&33bN~%xt zRaqJvyx55UWfd%Ei-^|%6=E!#n$FGRzX$XI4|u(Bb47=IM8^V!ejWZU`wUDBz@US= zyB7fg0nwc=H!aeVFBbaqr&?NG{!)p2L)=&(3GY;oiyf)*g)^yhn!=POp|l8d)<%Oi zgUyLCLF%*kS9%ZM`)n;qMO=y&7`>!SxhP{GI^+E)o_p&I>e9{T(2$X;9x#J>V2A@n z-lJySaT+WqEoGiR$xSU6!6S_Hu@z5cJ-FE+%Cwc0uMpGD#P8lAhyDb73VA#+tsX6> zok~WE1RN2>R9O&6XQu+bZ%kSm;271n0xpah^l`|8fo`_zyTC>;hT4|rx=#;s4R5;P zIYwZ=P(=jjXl<48CM$Bk1lQW4!BlSK=|mgL_2SYH&n=T$Y4`iiPy>&~UB*>E8)gzS zwl5}L(seH)Y-SQy_cc%W$aV}~qQ(SkdeR~fJB#k0?$Ab@Z{UlIE$Ppv4JADBTb0Ea zCtmoz@FzjChV}G(EYuTD0~Yb&Kd+Cs4}?VZ3_&xR!O}%rd}z>=A48U{I5uLop=kHa zabe%ER+bsIaHe<|pewJpwF?A$iY%<_BpFGmK#*`&6t}`VOF)T>mu0^n! z(xI8cg~YFk+X{h|*NKpvlvUq2tc)?|zH(E)epFBDdWDsIea~Ft_8l)0MLR_lR^5OIL&Ibd2d0!xQZKdTwP@w0y}bQF*WH$0|XrS8fdSI*e??VvY~& zgXoQV<$GN5j#Y?;n9WVDTeqVB%vs-k@gh~nOPfeOIinreu^YU!st}I>7tJbxNNiC2 z=(VDQF4<1k+W~l z;Uuj>)b=SXPWzLp-t&bjQA%JGzg@y-$Ee}fkfa?JPENjKxZ2$MH%MCBRNyB0>8$mG zdiK_wk_JPu+smeeYs4?W7O&7-MM%i^xfOW>d)2OgiC+qwpK9SY04u`H1u^eWYX5nC z!V6}YdP~OD>5V#hAeGtxtX^1zet`N{N#HYjcX=3yGpjXiVL@DhFmD{*|NkK; zDH4QlHO$LxE^gx*E>PgtgjfUOZ1HXT%mY`u$b=B0x8GVE~mFlxQ?EuEJ8h^WOAa zk2Xrm*VpKI14XOonXQk*#?q-xv`B^BguR^^c+YX`|1GI(33LR^t)iUe4#=GHwtEM8 zsmp7++8x=HP7+&N9=3B#u6pm;94M5>E=_1RfEqG)Pf($ul|Q%Tbmv~3-9kr6CmAi5 zMAw~>cs0!&#S{hbGE9$fNci6<6eD6%eH2F@i5tMAyxB2kkSn< zW2!Rh>7evWZ?{(0#MmfrF|zN290UEOOktjudQ>M9(tE18-P-pQ~=Ykb0` z3vE|psY{n*(zh5!ta29DM`tT0RISi6+fZj#)fTWu1HAeaIEs!6cp+aVP}@NGIGgWj zDbUdhYgi5ifp=5R30^&ug@on|64}#O6qnMg-pu|rHq)!4aush1e&3JzbHDv2o@?nj zc-M)1-ra2ca{AF|@^+*zF;D{?gwaM;++?AtZAM>4)f#KO*t(-w-U$Q)`@*knC0>kA zRY*s$xmh9vmkt14<62Z0Ed9wUsa*jM0T45j#tJk>07D-j$8^UR07sP@N+YlHoYelL zJ#!9)P*GF_S1sEatvN2F5Sp*C|NFq|7PrphJ>bGB6SWfX416kV2t5WJjP=}4u<~3r zp>CMR67t zt{NCz-tmoiid5PO#S_@zo9T;9jtf}JyvwelBt)k882ROr+<#@IPS+CWVU2=zs*hVKzDt}30(0~i-&?6wpyCc+lHIK}?a3WKk) z``w&MPWh&!D;}Tur=X2GH?$vz*NbX z=V%T#bk^p5HNngpn37`G)vpKA<=?%~6Ak1w335z474E4pe=r3M4C{Ih5W1c|1+QQH zg4>s-OqJ*?j3&auo8_JHkp6E$uRW}FjkMWyfax^Q4v!tYm_6be?H5{%Xvi%$v73jb||@2oi-*gpjhnB?gT7Ox_w zjg-vUia-)Nu`G85xn?Kn&?A0XRlC(1nJwtrP+G>4#yXtr8_<=f&FDhoD%o4m_$r#_ z(9eZOs+Mcy++vFeTUK`Rv2xY<)mS2@n$;p9>phSHtwO02@TPC=M>!rec z*iO;861yt6NP?;<-B)JGoxAXe?a|sJkq?vH$c*gS_;5+n2QhF+7JmA(A+QhPMF4h)f6 z8%XU1fIMCP4gjBeAtNJ$d0rX&5W?eT$GqC`25_#U9Y+eS@$2How7qHPdR&f9EkL)n zZ{%8c3lut9G`SP^j7npTOJkS!=(dcR-vutQ8~YTX{C_d_Ea&+Ji&WqxCpqYPanZp3 zY6lKwl6P<4b_wrWhVDn}71kQf&Gx_(c4o`tQrl)grR?=u z&N3tR&D{0uY)`l*L{M7_cu!P*q=W( z1!uiA*Or-}CgiefjFQoC+l`oLsmVQLkBePO`F!}u@O)R?_R_TG@a4u=?|~;xQ~ia% zwSYQ2qR-Bp?*S1S zy?mmAO}J|%^*9=9dajQ$oHlhp6K$g>9lCD|6-ZWO=lYkLxZ(6xb?SYI4unxmNPL&X z@Vd5D{GcBmXu!th?vWpE1*!A@~fJ5@ual~$ad;s^R$k#|m4@bF8~c*%xv&X6ls+ZBeO;A`3Z`!pQ+t>+nd?A`*ZzjDy1zGUT{oyx&kkv!I{I9w& zA-;9F6T!3A^x+IkPN|W&K{7ASoGI$^nFU{OCYT5bzUdW!8Ga8~dE73V@>HE;zt-Ki zXC(*Eg+Buw?8Z(8w?MXZOrY0@(bmi>6((-RIdj2Zrvs@xQJfl04FmNp&l0B8L2wuH zhFV)6Vt4f#NGtUG6i4*$6eq(z))Z$9=_`h5on=^IR$OeT;K{Ctpu#8;`?v zG%&WdEk;rmoSXXfOuQl1-3PN!&pU^V<6!`X3b5{5@uDeN;cBX- zU-~{iE7c~|$lretb!HDhVGFpJY}=Y8&uE(Yy%~hNvZu^h*sbO;XQ>p!LR%d-)*T`+ zD?`~BEZY-Ii^N513jV{|5%Zi++Sv6vaypDx8+nC)wCw+RQ1|S--ZnOwl+&n$UXv6l zI8JF*81eMpn2#>&t>xDaZ8#!ChhVCxBqoN#xa`6e&kvHtzv|9j1HBg06gm8o`D(5Q z3|}*E4!FbZAtz78_FXr1#HW*nDM(W>nMh5_Fix%we7D1w18I2oc8G-A2JQ}>?fda z6{h_A;XCpEOV{<insYfuzbE<>>o9!V*|anhFbIz zPe_Nfxw%13p;k5iMU0%%EzsbQ`nSOdIOm!_eI)?H&`m3M*dj|r9ABlkZ1R;p#?mkU zm@@n>eTrU_J{MA7v`8SZKxe9#{0$6`{fExf)s87zy=NB5dP)`?Yubo0vl8|1#az37-9n5YQsizEm^nsqDHf5pK=^(11 z#!UBScwr@ed`OZZa?qCM^@W^Ul+72`iU;)|N%B^NEA*6K=%g+KllmVD%xt^c@ol6h z-u6xN`vQ8Co43F+74TZ`Q>bV`WiHrWOhCWFA{TU90B0HuDhSqJ;82gOAUb_XvS~)c z`K1BqVT+|FThttNj!JS+NpzW0vyHj8qTB(A(*_EraOFGf%fs_NyhE833D*hlg>uZe zE6L&A-&F88=Q(`fYvbckT{B=cc}4WJqKtIpUKKU_`=w565x8ZJ6M`UpPBbx*;CpB3 z0O)MrZ0SI@SW|(^#|1#Z73 zyHDBH2??JlOjPY9YJ%zQfgCK1v$8dN4xD41ntXd+N+knAdozqMkHR zdAI7~=FsJ}AYiO@>dj-ejKD`!Ckn&Y zx0-ZyR?fwhgbH$7qXbL-JOfaUNG3Vjc~P)-%<2xS50(XECp0NiD4W;8z@1rB3wx@% zAeC@vp~hATKu^k#uyZc7CsmTG>DJ#(<%tAQ@0HKb;-eDXD?bYYs{lXu=7?U2AvUJ9 z3V?Y$cDvvP9T^q%-(7^r3XZbEc2;`guowAFb*|@B6zST$J~^<)yf!p3-y>q-NI;Rc&9vKh4tMCJ?(IlPc)Y|>~BPI&#G0%2Y<7wu; zUG7O>bKEy<>d&yL+x;1oT<&49%fcnptfgn-ep7o*aYgy%4wuspC){cm`GYlh{NI7a z)^x-2F#^h80BAi=|Kv$2X1S*bfeUos;2DO z;#i|Cb4)v;AMWIM!DV+tHtzFKTOw-#r!r0@9^c}3K>qKADxI(WI$nvLKc@l+>{Zio za`eaUNu}CJkJrS8AKi2isR8C{X>3&T#ceDau{ZIU8r(?xnDy#^?|s*=#Jx@tVDjx} zOp!vWV!XA9{^>Np<4WWW&dCVMfZY(Tfv>gmrxW}2+X25WW-^;ak@zfGlNe#c3^gJ; zaVX-7oj3e9bJ#)`6l5Uba;!zR>G{#`bM1om5nu7T(=2XgbtE=|tV{b5G&ycPie{$% z=_T+liJw+7JS=`ZnucaQws}h-+F3HrYi4p|Aho7a8<#ArG;lVF7)yMeii`heVR|G= zPDxCA)DZ)}cLLodfbxTIkv+hSFc5RyHeBtAy96}t|CYPq5dqbtMJmh-z|HaK2bNUa zd*P?UsLyACL~(Z&rUWV)^hU=)=fhohc?Iq|_eH56ZY#1jbnY@{84eJ1iTy!|)?bW{ zza050b+#@FMm7u|T>j=58cWsjp4o*TEWG;)tV^y~wzTmr&&XZvMx9i3_4)$oSnS`| zJ@YVaVthNH)zqK`QMA_8S(o>g#eD&|J@bAsFDBQT@mHq=@~e{ zY$;wHN`uGl>cFyj?X?Rw9vXv>dGS(v2GaNmWe1tC&}kj5^@^gj)uDW``@cu&vpWEF zr962`i`uI4n&KfLR-*Fz*~JAqwwrL5rS%~W*?J@Iy%@LI<(2PJkMdgfBcf=$iGr~} zfHz7ns{h;Vuu*rIz2?KMPHM6VlH2?`HPF~Nn`~gcrwsq_xB37jK?8upD_J@a);CFQ z08s1SZMp;oau{w5Wr9xamMI+^SRJ)!xaX-E2Enz4Cz{$;tui)TVhTpH4C>i;^@5e4 zX0$Z};;MyOYU{svSP76;cb10gbfy49reJK@y3+UWIr~ycRn^eeIW;-6tYPO_&+?Hz z(rz!1(VAWbYO7O8J#Z=UQNwroPSc!u&cQ}CkEBkvBZnhayPh|QBw(>f#b|d;>-1$- zPz!}`ZX#TFlO8^Q-Byc$bRVD82nRaMTo$;b-Pfh)g* z-?Xm%)9-MSwQ+Pz2H{m-+fv2y0+^sP4EvL{SA47G&z*Nci&y3@R?$y!kRmvf z@DhA`P5fp(YT5$0zSnwVPjoOl_gu@gOM0{~3HNd*#v8IayizKud50 z10$XU8iJxC5b1R-2$<$wF%mTLoW?FhNC;GKu#f{Iud{hy7>k=Uf6}^zD@c znZRVCzt#cjUD@7D&@Ah8^155?Q*V%}bDkAj-aU^?6+2(``CQn-WyqFb`$9{LYFX23|x=IbV0>0z{1Rik0)+Y*mn zn$ht!V$)6Oz4>y}U{I%rrZ_wN1w>SPU@kcTLodK|s%kKGNg@J>W}2u*ZBO7s;b9nn zZD;6FLv^~TY1B5!n@@kyw@<}wJF!!#x_t%?MMZu+eGz{bq z7?pD&Sv9HeV@pY3i$2Gxu5nPp8IR_VUwh*eUJjcPQV3qKp^=$B-V~QSM$qH))!zG`A(JX*- z4W^A5f$@v9)-(#&=OUfdp01oTa|IE9#gT>u1~@Z17xio8&9+0R+3oor{1DiMq#kg& zmBpnJsm&@(xsxMLf%dn9=gMh!K?y0o`|~-)MZJlKS1$is8@BoV1_PRw{rsakhl?&q z|9nEZNFP@}j&6Hqd6QKa8E(E5m==JtKEF=rx{+9{nMFb3?^|ce?8@1wvPvL8k-!hP4aS6+!6W;Q`PUK(nbFB`O$bwkNk<)1|UhIK%DjYb~ahgu0nW?lxVGEOfzikjz9MaPNy3@Le zBUUyxXYk8doy0;88+_{9pW;8*E^T-JZgFf~bEd3YGSs;=; zHFbo&F?xWfH3E)D#;!mT`LM-JcollkiOdOnS#G`bwmVzmXK+_;gOQi$GUR+$#PSSx zLYgsz3Y0_cyAnWO#2>Zr0hwA;@X2gZ13+%X$*6)8B4wQ#GpmF^{w*krY2nWmHI?xd zYtIdBg0w&KY;V#$8NEQ<$LdG(yZx0Iw!1xob@%by@VX7iG!T<3x3M5Dz1s(^9#hsS zLR%hd7-i#d&u9NV(&Ef!X>%CpH!EfD(}jWneBPa+{HO z?9pVcV<=s7Z0Fq|gqz^RUPOSCbeDV=yeg~vf*e|8krp z`1*B(y?8P_-2f+5ObP(!0U=%~#TkA0_h1>cfio*ANa%6EnBp}cM%w!Qn!6nA1fPcW zzQic>ZHzD_(8}J(St@~ZURoZE``B4hsV+Xw1g=hx+rTgmt|G>`*j!}UzG+J4KV~`_ za9ytgN$3k>V-YHyaj~{d2%ZDa2>mHhy1qDqInrr-+kdCrP2_%bOMhwySluEvn_AbM zZOg*SeyQb4USECso(euoN0PBTp1f+p1e$uh*ph9oXC7?Y(rYiWdzAo!%P6nhRS{tR zUWA>%U6tg9w{$A9%Yp8zRyYmYHoOu=ihi**1F^RCD(@n`543?P_eOmLCv~P8i!vD| z@tLzG)9c*i9F*l8xC8JZ4tW#FUQlvwU zNQIKrllpe*0ONPDs3UOzRO?^kc4G((+SqVtYfD+c^bMF!ME=CLf>9DD4#1iLhL&bk zRE#dCucU|fs}mxCrV0be0X{#TT@zOFg4}I$y7zFfRRa^2J!b(8T)aANtDR3&hjol! zxCNX#RZ7%W0+jEbXus<<%HSVgqjuWh$=MliU0QN+QH)(CBjGvnjM!ymF&u7<{HgvY zbJiEYM3{A5db)Jl!=q|&rtT%+3lE;sG4;;N&If2~g3dI&)*xS`jBGIszF+Ti| zR@deoQ^z3CBjy*fYYd;B76$-r=e^S;?^LE}p)Psh#ULco>3BmGOl`w`@Zjk0izk7R ze8^nvv`|B@LMIESK{&j(4_7DkWC-Z%R zlvV0%k3vdvCoqX4sip^cqksH>#m2FdRVF4Lb@l4JG+Ly?HL`yCj0($1uHJ^6Xm?PMiVCcbN-5PKmA7A$t;jE*OO5lf6;mBR!SXAMbj-}%ZCI9TpMX} zf6KVdnW}y%)kpfIMjuI#Ke6?O0TS{O=2Qg}ga`>Uz4N(r#&HUQR_KspFgvsLZ3Co8 zMV-8aCL}2Q->xxGmX02M&IxH<-a&1Hz7up!WsB0u0`NgfCmy!#a`3boqntQrOd#Ng zyG^laMKgVt3Z_GS`zG}?IgAY~ZIC4yWc4(a@bS(xUD$CD8~Z*q%C~25Wc7 z>h=b3YW`mtI?8*P}0PFi2*VrpS14XllU*uk zBjtD356)h*P2T>XYQIiL5IwX;q;k3z@37qIrw%tUQnA8$R;1jSA;p(D0({}RhSc=I z1Q<3?_D_Qr76jmbFoZ{e=aiH%h*v79~q-nV&DGjR)2oh+=G-an`j_ivo8@=hamG zd(MvxOjKRcu1T=ghPW;AMc3)Z7r?P4iX4cC4brHIhrqn}zcli!skpNR?0^P7poPS+ z;{z7k+fndvGysj4_e1pMbN`sFaxU`tpFhNDFAA-_>V;Y|TmDnpFw%+A{nhUww{f2e zc-tfg%%P}%lQ*FnY*zt!$k6Om0n7N7$t7KE$K}qgmnN&zmbd%#=AW3K`??0>eXAz^LXnVzA7F#7XnV_q`UI*pC0jF{ z285X%=!6j=PbSV+v`;}d0@U^qh}GpS%#Zna({B&oo#bD!20?IDm70ZiqtxB)@L!y(dvO@gve*_`+j2v z@YSrRIa#KX6B0JZva4f8)PdQwkF0cocZsk1-x^%vzZVB#&h3_u2w8_e;SLi|3Xa7^!>_DbqzK~AM)rbqg zRx^TNGe#PH{i*Z-KluY#VjH=*`ygI+Lwjj=>*PbqSLgTNX8=kENR6*|fe}{z>q34Y zL4aP}O*jGQUw&rdvGulAmS>0(_&^o{?d$IcGtk<%{(*bDqod>h{2JM~Rod$%nFzDN zS0xf!dx$E^3T-K1YBoy`Pbfdg9-w!3;}j!O6W4-JfzotuWc%=^Zz{~3nhzO)Ftctr z_4u6>X?)-Lm;!<;$HbN=wz?_?+Nd(#U2K{+`DKoQNTxV=n{lPX9yt}TH@__TnWk(< z`|_fziP-aDa!Ed164c_hP#h8A6WsxMsI2y_WI3e)Gzs}lINUl*F@gP8DpypBaYYxa zzKe_C-H&dH z<2kpP$+H3;C)v6e$XERfQe+@Y4n{NZQ7-G968;~az5*!9_Wc?aRBGvx1yM=qW=Uy8 zK|+=kTv{5I5Ri~sLQ+5_C8U?`5Mc?Wk?v-ZMpE*-d4J#hol$2T9iM0Sj&q%JuIn&- z8|LcizoNTLyOH=fbcc{ZsiD6)fmCjH8D#TXSn&X>G;c27` zhmS5_^#1>NKhPKf+{HcMGVTSrP{5)u%Fn;uG7qBlBoBwRUAHEwK*TbM%=r&sX?zZn zC_z$~?cY5XwN9j?#c>pCCYas#thyY;Ek%=76+E$tGSqh?6pb0#3}vu0KvCKUE|vlT z2<_aR(G(x4mD3rnly&@h20e05%6ys;y@m#=gL=cjKA6 zpyLc#<-O1DYBIMyLhasV-DU@wG-)Q=H|Axq7pOIVYvWh@k986sUnjnVW|M&ig&8#0 z8%FQrrjQAvATa##0EVYK*MnaL-%5+%|D4x&!w5O7|COPkHr53J`R zljby#zEs#U@@0P!q0#U2=FXE;%WwI)LvSnIIvxxU8^3$tgJLNl-rWN;Dl*Fn9kQ91+U75y0ieUTYV1nF?nw`Fjh zIg7y7+j}lyXetdB;Km$SrDDIbUuAC9q+|n>|Wz_$2=WsvV&d#pB+xN?JZEfv9=BJdD zpQoNtf=)0lyEk@r%pj?`W~!IOclQ>f?+HR(?15L!B?u1;?&wguumvHoO-J``Kit}C z$S=5bd@0MSY#qSx3pPwB_@Ov3Z9n&OYZs*HY2_+Z$tHjy`NWbFb)-Kd&tfU7T4ZB! zSOy*K>Y#;-VAsW=4|Jb#s>U*-@!j9)H1@4W;=CkLoyZMZz$V+&?v0G#oS)|*jD(R2 zY*uYAvP#JO&zIjBwH%N9|qUWFPICfL_^L@~VhJz9WZ8RSdaSl#L+GC&v$P~ zmcn2lQ>_MN^K2ih%Z(SVZQ*V>LOEL!u#gSTq}sp1E4b#tL%EdB8~ICKRjpNnh2a?I zx}}p}Yw4w4J2tG#YV-9kN-8j2O-~G`M5=dA=)WEbxz-7sc`AyCh)5xtDN(>6D+YxW z6cjw4Dl8~q=lYPA&K&;mk#d1U3&_pX2U00WOm%$eY&|4=-tyg3+RuJm`lD@V8NPe1 zSo~okPe*Ba8IvN#y8uL^5lKP95#hhU%Z}@|+ z0}Et(b?v)z&jQ}q9V35Lbm!TvzaIW7lve9>o6%~g_u1%979i?=4tDM4p`DZ7sj-KX zi#%v&l`bfl%_+VlR2Vcn7OE_xW7_=G_uxmP=l;n=zwdPbvDk8q{M+4@J8$gmLA)<7 zXbuXGh^RX@u9_QdI-czYe}k6a6xX=q6ZnRrual`6r^X`m3LPR<;`D=Tb=p<4ZB}UU zI0)hpiDh|&51%?(n4#fOW^x3B?Wu>Cqr!#srakcL`mm4<>()W>8O2b3Lw(9u^+Rl& zzS^-b-Yq)e;i&ytmtvlX_;}FQzj5o`jW3+(CVe3Vmbbro>+SlXV!r$q<;j7^n3AI$ zbfDEI25T|mF#$4u5?DUp#@WXr4)yf@<>j_2Pw6K6Im^q+{t%NthUgaQz3*Nz{hj?3 zr}1#qP!i;?e)wOwy`W{59p`oWu=nw{#pU_GmvFd%+xp8{zbl_6m2ZuW&_TXO)m2pq zg(csUKx}AiN=gr)f;<<3X~e+4@;X*z{Go@$eh5M(1ZHw;rOPYYTA01_4oQ(G!s9?7 zR;;h&?_t`9K%^$8<6by{R@ZzE_2&}_emWat@eDufR|AXke%E+H z86_bk#=o9f6i%-E;I4NLKeK1R@fjIg4q17F$?2kxl`}<0cKW5Y`Fc8W5vQ z<*#evlVBDF3!yQ27mG(oy$e9FMC`M&Kevhyh(`#}9fO7Qk^@3u%jQ#?}URmwLYY-oOuj`+$y9*|#k z`(D=w>PrFbMsx~>CUJ9q@b$+H@BWmwp22@UzAwyV!^wK3ifptarZ!_--U*2mn@$~} zZqQ1sI%sL5j{m!_ygmkn%U6|aUC5t<5*E3hpL!8ULTUNDDLmW>nd`hDvC$5z@{xBa|k_|Qnyo6@RZrDu9Z1&@Q295rG;;{Pfi zN)rCC46(%EFNbKMqolsfYyMR{o@ z>WQmT@z+YNtz8DP1RbR=u2>DnfXJeT$k@UJwA9_DFKB4f*S1h&N(xr7suYaMBHw5b z<%ZqL?&Gb{MU8$K5e$VOF6D#=GwK#=Hs9GN=17Z@Ct8Jeg%NW4HB`JeX{;pIe_vrm zwD74jT6Me$9BgRzZv{HQJM#|HH&KD5N=hDEbj=ZT8Rkw+e{E(~F&C@hd|h3Zo3;~N z`!j)^qTm?%4x~VfErvcKucJ)<{sakGx!Z?`51`a;3H{FfPA+^F*DzLYq$M4PV1P%FG&iU98gActeNwuy zTf2Yy-@WJ~D<@dO26{}Bgl$`^=YZiu4B9j|)x%o0<^wSkLuG#cz*R#(T@&;6qcB#3 zSB1Y(>QEXLvgaxHw#uc_Gu_V zsS=|s>b%W!10U%F6{xqg_RbgoQWqpDJ)QR?B#HXI8R3xU0Z43zkssH+L=rOu1PbXU zy-DYR1pfEby`%OdWOs#PlEjl17YR?jVc-h%QD{wmEh;3md!4V|&0V9Ro2x#oSL46{ z;*7(L!_{~x2ndx)QIqE;%Dd5yMK&vX6k0JoBVBOk@kpDM7%+}h5B8GZUcBiU9!FUR zHW*c-hPDepSj@oUFHXmwd=x7(z7t0xL{sD|VRr>RN5`ZP|1%>C6ihm+H-ItyGCKRM zD)LhJWBT^Omk1Kp-jCxpukDLna@YiW(8HK6dw0D$!O2PYQt#tu{^Ac`R2J6T+ui2E zzZe7Y+BQ)#mv2Gy@A!8giR*-Az^^m{Z(sbUPy3*wk;Mfj()3)?2f`3Vd44$=V`xRd zX&b;lzQb#v2a~HRXN_wuOj!DZq?Ke&+;gSNq~i@_Nyk6RbBFD}p#s_0Vc}Z$vC!FzZ7=DWQkrP(<@^XsjbT(1 zQC0>Fl|(9(X+LxdWo@u?rj6t_y!w!N^6M8YDJA96+5bLz6}eOlfPl`wSU#14{>r#G zIllvSsl%6`gZYZZg+s*W372!;N(U?;D#4d)p)Z3Ah0?{-)`OkeSrlrIf5YeCPkK#1 zMq0JT!syH%B7t&Aq0mxjN{AeU5nUQZ;&B*!UzpF=$P-Di!g#MAXV^HDh$Oy9EDDxu z>fAT6w`%z`b>r=PO8#?>U+Wd#?Q#^T4o1|y4yEzesD!M+;mV}-b&nhGV;?!J{|~|P z<5Qu!6SQrF@KJ zN`7{9`zF)tp=yI3zsr^n{7dxKdc9y21bViCW>($C@K$ z!>jJfdl&WUgbXl~9+m;{9Asm`VL-9@mO!gsKMkK_RgTftIFnk58jZ)1 zxaavKkCuglu)O=LlgrxbH&lRplRG=M)C1F1#ch1KbHCgA=(bok7s|UY<#TDG@Zf+F zw*3*r9y{>d`%Jys?jHrtBc=1C?CeZm<5=*#4^{HS&Os0D^JmWpK?ra3gw&fD$CdD^Dj(t4RMo5751_OsmU4#3 z9}oN`!KBJ}ORmn_5>=Il@k={)ep)}yd}CvqmV(GASoy8NtBE$K6HUcHn%h?Td9AEo zNysC$-=4Py?uwl?E9!jIjfCqdV{e$h?Lk-o%ovo(UUYRSs-i`&uaDx(KFPgkVy350 z#*G~)b+NQ$y`EwKQf^^|x+NehHTcg^uAukPrUDNpha_}3t|N5SDHxRyxu_u$l%R;b zJ35Rjv3wAQP-J-J7{Jhl*i1v_sj2+&0w?sIC(jTpb4@nR;GsAwyr{nNl*kgjYd(zM z@{xh>9ktylsZx5jNkvUz0+r&zs$YrazbG$(xD?5Yiojn_-8_6vZ-%ZwEo-?J2Oyjq zFLj#beJ(zQW}=+UcD4@YP?3?nKQc`2=`gqrYeK=#3uoJ8X$%wO5mh#*BMkKPML@>= z9U^^T77eI1rpzfSg0zv+|WGB z&?uO&>wB0Vs`}nfI>!2(ZRn9Y#U@H-q9?iVXr2_0v0U^0ho<%5T@p6h8C|j?S&09$hWUUl|C1K z_=aCCYprO@j5ZNWD;0P}#HkE+`)>t9(iATqi%r(?g$srUFYUk)V_TfX#xdI32%f5I5x5>_f&fKuKPG z8P?8_uuW(Pz#j(svBZ6;q^sZc!975iK6W_K)gjDzDwP#HgDXokE60b08W>I}I72W< z2&lO4@cs)$BpeQt6rhNcY~QN(jNQmsos{Z@8JP^WHR^uHn_qm?C3ZFNoAFf%uk~iA zF?y3SHM?Hx&0)<=cRjkVXnXn)c+JNH> z#j|w@|U-xvu|X>(~#D# zY)fRQsL->>*3lC|LK;*7^3fW?LWenLXFB`-l3no)6T)n&f`qPAkkozKZ}$BY!N^EX z`7B(C7T#Y*hpjH|BZUdSqElpubF=2IB=EDO2BJjuh^X=n=z1bcNe)U~w1@5$6wckk zRf=k?o0}q?0E7$4S=-fWWMrg}h{(~gfSs5BQ)m~!;hG&-{k9ZJB4juMVZra(XpHkP zNCGul>H>wK_CgXK3Ac!p$N-3tBt{h6*1HHkdy)Q^qrM_vRtjuuE76pv&N<%yeO(OTco^tb=Uk$vBV zL4VGVSou<5)plS&p`McHxTe}3?`u<2%I2oLY1&z997AJiHdNOCPXCv#ynutxoyTlR zVm-U&3T`bQ7I&XOILAhOWM5ri?*>FHV2U^X2LK)c06-$S>;I>YJ^Wh9sz|^104O+? z>(b1E62=_2tb(xk^%x>c%wd=!j~0#)F0zBBTixZ{uzz*n-4(KgX}4;tqVL#imm}ol zOeC=N@f!}HRD&u}H-g@Eu7~@7qq6ef2y=J3oloq7X+X0ku05_uG;Rix5Pd_wyDt5-;qgT}5%) z+p)1JM!)~ZBfJ0`uEu^U@#oY8bG&-eYs1#Ab!V+wBrRnuxUdyt)hN_jQ{{VgT=Awl z+bG}=HKVYwS=+%i^`mJR?mn%=hI6|jRzv8-Zss4k0u7$`$kH*j<0>iVa)#)IaLPtDI12mI^JGvuRsH2DGB>R7hWuhylAKXJ;`jY`BmUqQ*$@n zEQXgl33=CsKb*Ph1{2;x2^4x3=abYiu^U>NmCEXGZUyU3MLU7;mhid#$lP1xP%>`7 zPK0yaAZLD6>EHKBj^l%6DEq15_;i2?TUWZau~gUlOw@-50{Y~8YNLI?sH-z477?GP zR*M=_tVs&#l&rII2#Z3bbsk(qD0OsN)PB=APqsR-p9UOeR#oNg--Jv|K0HobbcP%n zJEq3-vUvo6cO zza=G|2W6QX&ipLPsT4Ke`p)c2mamgd-m=N)J&+xOIZk`_@I*>yY9k>eZK@XfM}PJ| z3JO~By>&XjGPyp2jZTfAmX=B+*zwI~_VDKxBU9#<&skW$apj1;#EW0=dqY(->2AA0 zX@9$dNvRMH=Njo6Z0(YDrX354Pov3JAmpGQBOii&(1kjjCc9y0N%BVU@nMVK{zp zi@(o5UP_6{ zJcbeRs)QXX3m2!z%j>}&m*W!d+ZE z5y*OQ_NCS4#T z*yE%6ta;Lp_yY<%f#JA>3+pV;UP(6z(Ur8bp^$1oapffzmE*)*1NE? zk7C%bY6HZ9PRwsNtj1JMIOcVW`e$~?qV32l`MC#R=A!W}rblK34j$?~Zpwf>`=_b(L2P`{wKBzH~0vS|RMD*%uV6oLp_c0gV8%CKC zoH<5=Q{7X!6IEw;I3bi*!_*<*Q%5ihwJc|#7#HK7@nn4c>Yu==>+Qxn=;nn!~($9_g+&}z$3K^-A_Br_@DSkHSfRDKqdvxStV@m^cp?AJAB^@0d zmL|*@i@Sr$_gBK$(&oXSxsEOO{SA|=q-g2WQ1Fe6GN#w0ldVD@m!-&8+$FM=k^jlD zDOtotkNXv~2)*q}qd_T*<%=pUXFU>6MMK}bGnT~Tkabou$C3i<{AN5qT;89;7iCR* z>r*oFd5>_XoGqt0F{ezuwc!2Y!qzQPz^Q1zd2<>b6$KpsJlAi~m7F}cjOKQ9p2-~> zTy>0i``q>`m48uoQ4rdesnqsZ=0@;zikZq&j{n`9n}GnCCVu*aY$LO|`v?rGS+%Un zoeZWiz8+)|e_cJ1Dn@NXm3URi0zG|9cWX5a-cze5WIb02o5nRP6+@A=cC`UPPAs15bLNOh$=I!xkHkw6czupRA#9LDD-0D*#O?fLBY;OL1{oqjX z(K0lowd?&8LcdGvTR6=ZgSf0T4TFEhY&WPq&WvAuE6#%W&u}+*zFonPMZY=BU*zje zNGx^R+ELNE<9(EuakBV;=3w6j5Yk6F-~uHiB+M_=z8d1?=C=41$Ko#zV_`&fTFyPN zOLQLY7v+^|Y56L2eWc6z045|f5*7BEJ$@uATN zUxVcU$|dPu*mE0_AM!)USdUK)iiA9MoKO5HuA(US1He#vh z26rXOQ!&Mw`u|uN7#f@!_St#FYnnd++*?8Nkrcc8L9p*@c6Jc>7E-|=ueGUuAaF2x ztv&GFi!hmYZ!j}z$!UILcbb^mkT%vH1BJ(s!{Y6xX{h0eKoJE1(^p0T+{?#rwv+Fp zcfRuQEIC7}+{I_ska^dvD-0FOmQ7pp%jFI`0bP|19uM~W-K-ZOE!y)RI-hJ__!U5u zm&2I!pJo^hJo#aiQKVCMBphk16Cc&j5UuUBn9v9?TXNK!!>L6+WAlmrqpj$h8lc`B zo@)Y?1u?S<)M2VR@>-$+pZ0&_r;w}9)BG+yC#R+;oV}Bc=Nop4&6YYO4ofpxFJH=1 zZx7H#Xtg3Cn8F0bXMh`leSo9wzNckli{06ZpdOsbp%hy6$v|TSNo;6xbw8ZxKY&_D zx#F!|^otS68yXv6fM)75{mgsVJ$`rUJ`rbbt{TqQ{6B{8zE3*L>_nH-73n@6<@@8p{X`p~vwH;ib7l^_#V z1eI26(?A#1q>(-Ew8^j-sur{4?7R<$q@$nf{gnLe*)qnkaGFu-atB5%+gZG+;&kBC zp&ZfQnD(Jk%Z)pP%)Z#9+VKde)S=>Gs06nL(dMm)*dp8`z-iHY9rj{tnEAUD_I{IpBT~h*v zZH5H~MaV}U9JpT7*-=tQdVtc_tKm7iPn3L_m9b!Z;hfiuC<=%N#|7-TkJe$7^RpXv zKnq>etdmemfT%#`5lC@AXBazae$6oEN9a!>Q#hJi`E?RlD6Z~v`)`XcJcI922L;y}x8 zG5h<2WvGGTgP#RY!u4ZJ`(VTScicQQ+a`avi$7?O*QEukJ|zoE>19gO+T|=%4ly2f zN}sol$Yo+#6AQs=f}y}K4a2lU{HJaOvbL42ZtqY2ebrc732lZxK6S1ucM>1owfjK{ zhXCs*k$_;%f@==NU7>;D%KGl(!)NO|-mkXAXXrizjV|%cpu=@$U_wC&RjL-Hn69$C zV&6|kM_aW<6GR-}gW$jlNjKWnBKYLO}zj*_;IifijY~?P2?uU%II*+Zq1a8nKNmKf#_DUSO zix_A|XuB@DkEcQ&X0Ve_RmWUnA>1b8DB|dMo(r=c+vc<_s+M> z%m5nWw=L8mXEzQ*VgzUn$AQ1$z_SZ6(xr!l^a{p}n4v2YgvZpCkf)`~fAjyvtd7_*3O3fz_D#1pgL}NeoC6u8vYPYe+A=tb;l}v0Pnyr=IpQX9rnV4vN1l zByA7O6{eFxO~CEZ^ewWVkB1*_t%ee>*3dKxRSXBTW@cX}2`r`Wa#{zLrO6 z8YgEE_}G2&R0Y~q-dbY(FOi|jp3;hCe;%goEH00>d;Z@m6v5qrt3;U!)!S>kdup@T z-29M&kCLgK64jC--wSgM?<;i|alf@Wo>z?E8!KJDa$Rr)R~!WiJ{gKc>LBJ-WMjIP zNlCc8ePgP$$cyT5438KJF!ix*h)TG~Yan5Zqi$Oja3WST4v|(c)a1Q~FF8Fbm@GCw z&k69jK_GbI(+{K0pCURBZbx4^65cN(!R_jrzD!07$Gyu4x4)b$)!| zRi8wmuS?&+5=oZ6EGTtV%vvut+}cIAP2`ho9RIs0M{GQ6-xRDdlgUYuC09!gt-lrj z!$rPI%{rV@n`b8%YL!*?x0wXZ#7XPiA~SJY31m!PsPIRRXcKCgN}w_xCf*(C%H%JC zN;W@3+li+~7Zpor>A`>+G1#6l^hF)f@VF8B=!NBYsfla-Z1LZf)qC4luW#XaTv*@y zh%&#yB;M1Pk%-I-26XvgVM1zOjK%k36N>gBMu#gLX<5!s?Z>9%x??Y_b zSa26@5=zLVO>~Xk{A7JMr?GRsZqguh8*1~gM?6-+DtY}!ol@$kXS*v+zO@~eh8L{> zpJ%&6yf7UougK1d9Y|mRP$L_Daa;gH`5TA+{$0<%?FP3Pb;Quv*hG>7^r!z1V1!t1BK$|iEruXx7A9l(SYIkCxNs~uy3s7pBRQadBSSV@IX}(uv z;k%b;+&^~llQ(&?n&emfwR)uUq=oK$`$O2>mVANNY3NNCi;&=is+e-7T2kUx5n(rG z9D94i#chwgF!>rxZ*7Y6lY>S~D8k~IL~^yi0opD?UXYuce!P68ALj$qnSw`GiOmYQ zGRA| z>TG5fDt@nFduFyzK|9lX-%cyK=^*-KN5}r&vxfcQe{WxFBEBuM%ymT>XEDe%SBs_6 z0~irimicD|3oR{vps*zRRMzZ#u;s27qn!EBOGo%4=Twa>dgK&p`BtvAW3sQK80deA zP4A9p4%x$_0Zq;R_!?6JqeDe{T&Xnb9+;YJzR(){Qdjp;_v*V+;3#Ds>@Ev?&$_G7 z@(sHS96pac5OM^gr2?j(_o*2zAzL-o(fHuhW`c0n#Z*{fPW=Xty5yb$u%@YiQR0V(AWer?OK22ibAMPPFX}{&V z(dgtQgO4&N4bBqN%gie{8e^I?d*eV_Q6GHj8=iD*Fat-6wp6FeQ|TX-A+a(z!YP~h zeZQ)&UkL(U>Av5&Gc}jqk6@ZfV*TSgm6_z4uE7M7fZBmw22gSVq06texU!tzH)?Q) zTcHmYPi4J}7yMbXt;?8M{^#&Y7eTQJMa;|}WFDv;7oe9r(uW%{-3!BKa#Ny>glY{; zEHp~#&o4qMK4kh5ZYuNx?03+zjBKaRjdj-8C*0J}^I#u~9g zvmt4;JArw5ibpAj#}P-F)LGc;1o`e?>aD=6B&#|sA{Ktr)FHCT4jC2(Z`Fdklfvl>+>PJ%6>6I;NZwzvQJ zIP%lA=_+-EN=)&+a$mZ-LsD+{*udn3iWcGf*RtW9abnN;;ancG&$LK5BOF}fPftaMZ zcln{c{dGpc&6+psxKE<0p-4eHm`m0%EO34Z9Ov53G13i;C)!3XrsSlQaeN zTDyQKJaeK748!^mz_1rRA+qGsQ7p2NFwch zua%5sH@+V1em>qLQq-(nsB)apnNxqNF5q{%7tiQ3 z@EgW){{-|ZQjBz1@F zo>~I}Ae4-^$u|qP%vRabG`MfAAN{*J9c%s!Y9?UbzXMSD>#lf?6xZKR!JVZn={uOI znBp<(`3?l2ygMAxjgOCaS`1?=2M$+<62#Xmn6qgvVg<~%L{iw9)xzFYmscf3`p@3i zY_5JBAXl8z4tvSh3m2ivRtZVL@K9&FzCBi$u`wo)sbm5hl?h3QC7fBM6j5&j@;EV>DvFq2Sy|?g1bRWODj|4_a#>5>eq;_NiVRH(@D5< zy^uPjEa$3lT4XUFFhD30jDy!)D=1QLgitU@Y~N7Ig}no_6@PCXr2jIpBP$`|<7{97n5NMskD*de*J{H^h8qE-1&22PE?Dnok4pP zgI{jt!QZ?G_GYpKL9Jbf#z+ZzA92;76wFKA#~gi>KE(piT7-q7=6KbaCr$`a-B;w; z)HSa}$b8@ze@(z#H!m5vjp$s@j|W{aNU)Ii!Co$Z-4ak+@_$VpY%-w9LqlJmZcNyr z{ts(-c=%^2Z}(xd?WSX6Q0X0(#Kp~~`ZSbe)%j%tZ|qx6`Z@|{+C(7QA~H(LA3cAo zNPaEfgFojj514(atVL6lZqK8_e*pX7A*cF*)akR+bU7(AuQ^HJc^QAnl#aRn!l@rR zGqWsk!83o_do|mbbIk>u6D2iq{?u@HC4A1@sBH6}?f$K++%Tpb(<2j01={g2xe`~gf;MTLcCo8!AO z@u2nRTQSey%AoJ_fRVk$+k7tI*tmE5>C?evk~x=dZeUSZH<9qzem;Kh7*B{zoiqip zZS)yw{Re5C0y2&K#>KbQNy*w`YRPeR70M{c-)DU3nLMrBz$2P$1O5b>>>wgq}=11IA7?rZ{!uddv?X3Ovrib1EY^b zmh#+<(3dY8m3(~6vBrd)wx&Fy95i=HIF*y5G7*%hI|a6POMN<*a44x#=|#>aufO12 zpk}Cl5eUBK6YS2w!fplapo`ztjg1*0sKA1P$3sWp7Xm^;vovoo`R~8w54zW4z#8b3 z99`N2Be@W#;xPkk*`Yi@d(^6OIXRJR=ac3I&Nhu__mIGW85yah_aFk;WcLtU5t@Yw zSyb5yU9e5ABD+g$T$)Hr=}_s5znG5Wkxn!9NYCElzaxnTm*)$&aeO^G6gsGnw!H;- zck~Dd`2OWu%DQ6CW`^T{_<*Xc;o8dlCN1e;*ejL2R@H& z5{&dR7@hr9HOKRPH$d8#HYoZAVx~0r)Fmznv*v2qMpfR|Ey3uYloU)R-`z3M^`wo= zOZr#mdQ;&IcD3jf`FtHN%zI9V@R*a+0yIvtOor$`@P`8657_$3otKnAe}TNbJkXVi zQ#@C{*o~LI&x)3=e>Ro`ZYz-gz99rTk_Q0=|KIb zZXA{Gzu%9KM7-&=WBPV{h01h`>G5*~Q}HS8w=Jl!JbEOpEW?IX!EI6V_J)BP7;{A5 ziIru?4y-|azn>uu&bf(H>Drdhe-?j-ml55`5wmmnmo_>1;zn$SJnznbwihA|asxDx z#>p1W5;x5Mm$5N@!n(4phX@lGhOPBM~n0`PyF(khkI&k-s0eD4(|4i{caZ9Xclis)Uv1rl1Bcldd(~!%fp+C$G62GE1 zAArp*_BXWOS$v7&wYt^4i3yaJ?lGNkRXQ+yw^jmAQ{DG0M*Ubayx8NK!i*M0XYNTsI$s?7V$G;%K3>c}R zA`lSrg;1;21tRYm0xY$j<oKpo~sz#*ch~ft={B|f%p?Dxmsc52k zckH9PkdTB|f!zt;sGV^eclT1)ZzvlRZl^_j3h!_)z8ZT>iRbHO%^{O?&pX7~FYc2! zl)f&aqhsadf*44fr_viilrrOBk*?{j3q+vXvXTvnPBOx4iryJ0~g!d`neTS6QXIs8eY*XgyJ@3>$|s z4Qj`cFgV^U_&5@=a_fz2+L)oDV*3UT5rdb`|3v(+L)b+y%{=3D3CMg-ZDh*xu1Svc zcX6*L@u_uA9>}bMS}c|Dvytpwag=Nuc0p_tUP7;;e0d z7f820`RZkT+l}4uEbHqEW#L zS)uiT9I}q*l)9YzK+yd_hmLzl%3TDVfNd7xS9>)N8X7p`-i*<|nIAa(l)WnX#~cA3 z1!DbQSqa6R`z3{oI}sxVb7#H+Uoz^>lzmf0v`W6Mcn`VT>e0zjbrXI!^w<3>!0Jt8 zR^I9AMbaxJso?^-xV-JY%gOQ-_CdEyaF!f?y9ANoDj&Hj9S#PJ3w2~o~}+ghaRjUNuSBQ|aiHG4FHT_l0R znM$s{<+MGHTw2f9OM&-$sICRCw3? z1LKRIQZdY7Al(6&CX|^?IYeGPfrQ+QtVkFsE!TnG1{!L@Zi+m=4KR_xK9B?c+&jZ& zWx#!@%N(z&>bVnfhi8{o8vwwqU0VM9$vVenZe72!sc<81x`gDLH2L!~2_Cmo300qc z(TZ#D%{>4Obl+KpEhw25kH?nwb(Z$>(BF!Hw~`rhw~1t@+vfh#v4S8C-$NxZBy2qW z`|HH$=64Klq^F%n9k%K4T|;4Pk2#H>gx@^}D>*?KuMe1o2P_t1_V&qd-uyGBL3vSZ zvM=r`Kk}pWc>gPJQ}aU?<48o|tj9zX*5u^k5RkG0>{s#sqxx^i$+az1^h*;y0q9$F z+9{AhZuZ4MCl=q~SvtnaIqwkWx;D}kQd$lLEo;MzIm#nlx3L3!58B7E1GHKp+rbG8 z4I>(kJ~Ne2Ijv&Nb-1T{9%;p2JVDYze26v_pq{?Om zkc_FvFo1U<;m^%z#sBNbz#Eon?09T@=v5}~o+M`1WJaAN>UA?&SumIB1 z$Gha~P-#GtT*EI=L6y3!s6t@Nq#z)0qTY=&H^me?v}tSY8JLNv7Qj_Z_*2_QpjBx( zxjNA$9^n5vZ{ofF03ybrr3{Jz)pj}eW^bcTmCX^|K|t z0vH7;=s*EmcHw-@g9Z(G&I_FZu6jZgRBv3oykmx=%xr8!)6+zNu>L=@R@*gxv{wxg ztqyu`-G_Laj?t(pX9?mIdmg|KSc6Hs6+pmI!$)(n#M&sK5FP)gTBr=BZy!tl_I+DF z{w;5Ie+*AVM|eMZZ0zQ4#FCQpLEgD~-?$7ZZp$!{A*a%f{S(RLpTlE*ipXw{P*ZaG z5ToI_Zor_!aGrw4;^G=+%Z^V>EH@8Z@35PyCRWrmO|=;!SzFpCqR{#w_DZ3B8FV;? zxCBjfc@5cge-^*-pctQH!EsDwq^sjFtGPr7JFxIvmhxkO?IzC5$n}>!0Lxx39q(*^ zn#}uSf~15<3nH-=AtfzHDAI^XcM3=-ASj*E-AIYFgt#a{ zN*biQK^g?kT>JNbo^i%FEI{3!kTZ7>^As29=DSZ7cs0}j7~`E|}}=#s8lefU8B zw)eK`?d5R4h178CH;YLr^^J}~nHa<=LZScm-#!1B8103?AS5)5o`05wQ)TtvRU1%s zbP8t?aB=&u6k37|^ql=ji9S^JE4^sH6FSsQE@K1~3%IX$A-I_G!kK7jTjkErKb)o_Yjkl*7j3(CC)@}(Fy*3>f-zN&n1mP#0CLign4w1OT4#yTePGbw-VzOm; z-2dAb$_&@t^Vy=C zYq|7+Uf<4;Rs8Z1MxmuR?k_PSn;#GcHhEQ>QZab{mD$ACCD>L^!y#iWqsCNq-NM3x zk=^3bZuWkJs!ViY$s;&Y1eKM6k&Og0EFALJo^k5pt7G>s{E_KJJF93-JX2>Q$?+(% z5mBUmMkd;pa@QJVqdD2TcG_YKo#M4IpL^j%``oD7DoJOzUZM570cJmj0g!#nn#UPLHbIXKyN)H$)y zB%{dvoXnxD{g=Goid8l%W?wVAvCQxlG3QbDgFwl3r)Ld6ITKitPgq4JRD9O0B77|Xm!>zbi6W~rr{j5d5o!-Gm}Uq7s`;D>H{ zm$*CNJXBa}*~I}y3l?X!AUs!?G(-4$)hOGybRXN=Zt@EhOOgB`CqA+GFEG}2_X{!* z2nr1EBp9sU=L}&{Vr&|$B)#YjtQX_vWo7;$oqT4Rn=BVp_45Zo3qgho{R_nceaVCaQ zohBIeQ@Y&4x#2wYsH(Aj`_sR$;JbQ{6vy3O+$?XRkckwz{S1Mzd*TV(qVjFb^w}e! z$OH$P%$1Bf9qg)uUQ7s&V`yt@lT%R8+mj|XGGxs4tslr<=R7<22FE6IveAH{zs|s| zWN9_X)IfyEMj7@>Vz(bDC~y@JK~>!Go}j;dS;p1`j&xe5v_WAn&?eM+=%gDFOLsz$ zW~s5p_id5=_(HRu{b--9p_R|V;z+m-h0nI#7hU;OfMg)k&lm$=a-aReX%psd|sb< zo(6KAG!fFDHPy{G@V578#W@G3&+Z7d>#Yx%ro`##b?e{D&>YS=6uJkjD&T6S&d%uvUqKWe zvpt+XM?%`k&2MN^<;vmKc?9H|9;W+8+$q>rG$!DYQQJAOx&pQg;{3G0P-Vjmuj9XG z=T(Re#%szK$iE%TCu^TeZ}GjtL(h4>Jn8khg><|FDdVM;tZ)_dU0{T$%W1p8=TkyB zAutjD>i#lh_5KOJnvi)f$_cN#oeC#Ipk?Ec+V|4<%Z^S73CsR85!#;!peOv~Wz2bD zmgDigf@@``@pSX2vHmfEOz(hM(=tmE9 z2dB?#G>zhV3|>#hA!4wzO_W&V4$;v3U|IRAQJ%!cK-YLD(yV}3W!sD)q;vdVLV;Hj zzgsh?9sB5>{0z?QAb*ZM5g3BZ(arh`Vf{Lv;_SMyu6#+0KVEGuSchaqOSE@IqJJu> zzX4+17~$LYgsX2yo==JgPsl}>+rkIEzv4!LfFTSh~_g6`@6F9{v>VOCOH@NBKLqcD+F^8 zNG(sN%~S$8i0EGOwZ0ios4%}~ktQl-^o-ZcvF%c(*3OzN}B#{XV5N21Ez*W>15a!(!d=_q+CgFX&=Tm|Q*oN7Ii zu7Gsp6%l9BbY14k;KV2bTe2zlF_2(`jdqBK z-14ll;34)ZzlLYOrZ&xtJaRsv#`+jGgB$qDjL-ci92p7nW9Jkk9aauDH`7`-vDkt_ zrVWYn-?NPL$$C6EYix4 zI>9-o5&2PIfm+lK{F3(_7r3*tAEk<0_dE-kp}l(h8#bEI(|h}a zIWiEaWwKG6WQej9>82*h;ttA5M2f2++C=OHARtsx5f?1wKdMUgYNO`nN|rsw_UXWq zAPZpx#(?)NzCG#rpaeo5I`QqxZp!PaadEG?K)(*HySw+H0aE_=?%yF|VIWa$uR{7E z?RxY-Uolra>hs))|6cRw(VLdBWgiA$hSJUpTXv*k(=+cLQ_xZ zkRqG&Co-FvsF)`%mCm(!5 zgPQ{A{3qeHv|`TzWuaYI4VmyT%enSiDGlvWghKZHGLxTgRIbv1yNgk(CnEr*9>KKs zHQEnY3&Mf2MrPddAHTYxob}u)%hljZ-twd?)Wup+33XZ)!Wc9WmcJG>BG#Nx4Wjrl zi}*dcjSK(RP2a+viO_V&JN`Y!!TnP6*9D^?Z~9#jyuQfj4rReWop^f|zfjf{+JhW1|~%8W*?d8|Gg zhszP;FC2LE$B7u-^Mzc?r%x1Z;kSG5x6`6X!6Rfmhl@AE+f~MQm z5@p`QXw-UV_xuZ=a9HFittIf3dNK^1hz2CpNM3W{q(AH`5ZWo(36RCG^g7AhUFw_^ zJsKjypcj43!GdJ3I2{`6PDBWkMBW^Waf(l~b|D(#{W@(J$Q2mgPrG7%TV1cG$Xj3T zwYi1GEDY*ff*Ci<;BGeqni}-!FL^_yxp{b&AyK*ru8T$3zf4;`kp6+2h$c~>QEM3F zl$1_zPk8~X7C?NvhsS%DKm|s@8@MmVUU*nQx0Dp9CM&Mr-2eV$tvx@S(EjEMT|e%} zNrIt3-f zmB-{at+{olz^D)3u4DJJZK60RmHu3(1_Pej+QMKig&XL*h~C;^c0k+m-t2*gvM~<&IGX0YTC1j` zqp0w4{LZn&CT?{pStpX8JllVfwoL;vtSJ+dW#t7r$RdVT6MW9Im=`Ep1`>0o9PYOh ztltG)>UE6+2*wy06bk3TWF}w}nSxp(5`W%Mmh9Tp(x3IW#@2NuJbj7Q0}IzyYm6;K zjOa-`VjmGrqVEpCi{tts+!(}lY@K(nXv3Z+_bgnTgja{d!MJ(WzRdIFZ&|+yXq}DQ zUPqJdpszir_uP?$_w|vbB?rJ8=pLr={ANM_h>!k4&EDWHN`hXX-l7;g{&DW2>1mgHp!#_W6pOo_#aUV=yJmq5_jjK%V+)7oqBa@VW5x zhI5G{{L(#GpZ>xJ{bwggsy_gT$)kI%xn$%l^*Y+uIptSdkTJ|6fwMN|bA+67JeI%; za{Wj|tHW%oZPaq~jTA%euk^eMMxx_TZF|&Un?cjtF9A+=x^4oS8fiB3=i3|(NNjXF zb|Je?`3xE?JZF&$@3>tvjjZ1iT0Z^0LSH8%M1RB}VPiHhUYF4OP&~$E-8<#D^=`!Y zc5%9vW?qSL%80wtfiUJy_|_I$3?<(a0^<<=1pW!7@wuMdR?4>sN$cUF9e7`b#m4 zy(cui6~8yiDlO(n27?yKcfWUK{N{`$vP(C*(7at#<7OIk)G*PJZn_KJ2D6L;D=X-ztTR^Yu#k&gxH+LwS(+3}e zY1jEsp~SG)wR(SCM)c7i($cu-XcSN(srFLa8b845doB&a9Rzw9!y!O6dWb$1rd{mk z{Z}lp0qYJwO$XKKJHsD3LXcKW%d*^;Xgo@|%xmqLS`ZsbmRF^TLp_l4l)~*X8GD7I zRhARNrSB;Nx#pn~pOc~9Pblq;@qgDY|58xHd7L!OKt$Z9vlcz69c=-ER@n8oFkW8Wz@P{H6a%(& ze;#cFyyF4JJ}||CHFj{2R9~1U6DE}gW)A#rQstCa>y4Z*(hL({=9R51zeSz4?22&c zfOenQdj$r(yACU`ZE!Ss6#Eenn`$reHT2G=Ov zS6U@J^b$@#?8fZq>SE^M39qyoS!*Y3*-`fa<*+L*EwtCLOHJ-x^J0*AQ4R>AvTA04 z6(E&KD_~%e>M=Tk2_wvu)sw?)FPwqYt73W?W*FmqrSQROu4khIQ4vIltvp;S+6HSZ@CiNVg7Am0r z+_v+{D_;|bl82pLTKPdIEb-QdE}+k&-L;RVw%)d{7pJ4X$$4#jUW-D++!T1;o9tw6 zVM4|w-+#0|zZYVJMkxxRI@`QIL?*siH!=w%lMCc{>d91*U3lb#kiz5 zu>wWNK-*?f0U6XXo!iaNkSo^^$G@5q^7=&++Sz>d*0pZrpKn6-G9TIipLnAt3d?VJ zSozeLz3+F9Q!E|`MNV)zKSu~iT7Wb_Z*FN7c1D!r@qvQz%JrrN))%*M^FC(3>%^T9pLrha z(^`6IW-DoIV}b=1@al;_w{(ruyLD~B3$(N(01O;3oBXdYD5%c_+C7v_9!;FgN7Ft{ zV$Kc3<~D@yw=mVMLYPsJewjU@jIBDw8x{VskUsvh#Pm8(2MN^RhnlTM4=}nF)*3<> zO)%7)`5fk?2idhT$XRkS+3<^PEMpy9J#hcWINGbE(wDvkb0Wj;R(2i-Pa2kG*!ne! zLApv@23`t=xf}W)GHK#C<)+h8A6`*S*?i}}M7^{~7d}BZbqc*yKqlOUuQ^rkp6oKL zjkaJ`R9Am}b7YH-n8LCkzB?Dp1MN0kZ0?2`2)7g$1)=PhRmnb<-;jtzf!I}@BEu!i zvUDs8k{40sX(dY#0^3DL#&L=mgY9QxM^U2?^!7_bnYx;h6nG=(dwJ{b}6GKi_ zmZs0YKXuFd?U9AC1R4aj=Ko~$#1<`EX106hiE2N(*A{*jj7UaFq`&X%6vANRI92$s zC(@R?j)seYC3*?SwsX*wHvYTt6O5x&;q552;T?egOmU79FRpXqW|w?KbwK+lEDauD zzgit_Zuv;R<+gmyyUEtNL!b^ zaO`8Cxon?aU0$%AKXSXNdQ+@$;;9iO;G|~S{OlHj*q^WTR=Nr*q%!>;XupD`M7uS0 zo+;cbVuGke${qdZSFo;o{KJehoE91Nk&Lz6>&!JVF%gXu-mgs(YzWL`1M9~~3Tnrf z{JxZyb_mHm;L!4Vqo z!SE1Ca>FCwBnD@1U6?RNa%S{f+L_ja!u8wiMYQm$JnoJ6pU}X#p6pAm@K+t3;{Z|{ z)#1ZRw1{#W4eWzE91nYYlAz7YgS8=1$g%#LqimWk7;On1(S7&Ip5R-m z)9A^uXg@ro?*qGW*hw9UxQ8GI+NH)T5>}|B1?uai*NzX@_&23qpfnV>7vw)#nCb6N zM%9H~#Taj(&y6$PjkcJ-;w;2PPgH>hJ*0}AT4PL2{S_oRMc(=x%N!YrBz*hlPr_-D zNogsyOr&v2m7%KIF2_SdLb%5G_}-(_U8|(Q6x^9bMMX->*3*r2k|bJ{md{Fyvv^9z zG|(wy*!D)OM#!+=ZBA4ljUPaG;Qt43K=T@+Sd?xF+0w=tc(8LmFUhX2PX=BxFf_5~ zjpeC4Km`AM%~cDXw~xsr&(;FoxQz*!k>^zAwxJ2^7*msn#Z#SkYYVQLsj^wxzP#g* z&xSw!>?vl%YR}9r0Z}HKvP*g094$4?3)FXFPOF~TFFEa)YrTq5Iepe9X4Vdf>|@U` zVaIDSe!WDRJOpft0COmLGBP;=JtMlsCm5>2`+u(>No7dVa<@L+sfz_@rJqu4pM34Q5LPRA>m z-25IxWq(UepO~o1Mj7Z&kS*IYJm*v@f8 zT4rsWi*1*cY&i)Fy8@F*m4Ec!qcKVaMa4Pv(07j|mHQ(FL0Z2Rv4ni{C4sVS?jej||HgU!(A+-11<1+M|hp9v$K-~`yK9W&$6zg ziL^dYbjTInp|k8yIfISdy&)^t{4g++)s4_@AsJ;G5Q|ED(Z#2`J~YC94fC6y@s4OY zO!dsK3rKfbDf@tup((7rL=n!Ya$1|kP+(;=dLGan9Q%p;_26;JQ++pDylRJ~sOq-N zvK+alI8-eMh-ln!T^Fl{GxsT@X9ps11(E}pWzF?La`$}aeWLEWO3}~?x2L(1)0GA(55qt&a+6_L&Md0=>=ENB=J7R{zh)zmcYkRw%aI08Xs8$?2k9= zwbmqn%FDRO^#rP5g-@)(nm(MNQ*HS}ohh@2*L^>2@0=bQE~`e>Z%m%u$H4LPCfOT> zQ}Xf2?K>~Ejf&1T74Dn)zkUxQ3;H^vtp^5fvp8@pYUA-aQ5v`p7G_#7;p%y;=7{cm z$AVqZ3B(%*I6Cb8WKF~98z1k4i-KM!L96(cCY}aLW0~a;$D=Pt=fUWg56CmkFr!51 zzth4c95axRX{bG(3wDQ_atty`?M8VQJQZ_2BHPzRE}$fz1=G;t$#UBA2j;N!l9I6A zhiBK{ru|!BMY~+;K^cKR7AEPz85XS{p<6fWrQL10)$$*lj+=3B$3H|)I`xVT4!!>y zjQI|OM$r0$v*pwOm#B=}Qi2&1y${?=CjebIz*m~vb*np)IwT8;?L>S1E01)ZN1)TX zsLo6vU;5dx-e)6XDc~--JL>S9Q`eD5M6>Cat=aKyVUu5vlNAa_qq&j)QQ^cd36<%t zV-bhhu-72b4*V z#NjcA=GjgMb2zW-h89erzP<&~*$X&DGk49(Xe=%+X6NQQj$7p2hX_)xa#CC6hyj6w zqaz<2uO7k;D)RmZgNP+8EZD!AcCST`m>Cby05hQ?fX{<^eCNcI%djySK!-BZcY~N9 zeugel*7_?$-5Ly{^KC3G*D9@!SS)iKIelk-v#QEZIuptC^D?r)Rk|-4*T;CZHRI0} z(iWr9m2Wle%TzEw<*V1gH#YYIqxPT7;Vu1{jRx#B-K&q~)W~f;H+2OyDu@T^>$=p{W#%JHD)g?7dF#I&i8S;JDo%BY@s@c-6jDwj7k^?xFT|ku z4*&`YIJbK@tqTi>em?QLnlfHMmb&3swpGo_@=}|0ds6rR45f*VAwTuH?R`9(YutE# zsQd7IU*q@h-$i*}O}Z#xpm8@`Co~#HDehiQZmull3%H7plM!DATmY^uhW?!HxvUR^ z5JtV1jK<14%(v|VoGU;kak$j57ye`$WKZk95Lr=CQ3g@PGOINEAJ?wa3CF-P;{+N6 z`UATJt-AW4g%Xk^#U;!n|N)4=dvC&b_- zIZFW{L}Fh8*?Ctuu&vt4iQ7Nl)tbq| zo!*^S@fTUC+L=pj-c{=l27WD=L(s2VIk+8Zy;t48VzaSd<3*@U3x=GlcG4Y4XXgRr zpC_o!s6iFwZmIOW2)=xao9wn`O`a?|5pXT+L4NuQOU%FsTwugfyfFp>UW|gzpXXsk zdIfS9mwp|&s`6X68W;UzhXmgUv$Vt9Gd=PgrSP^)Tpb;5AHhl_0j4lo76mby!_;6np7@p^j$+T z&d(^ajbgZP%DgT>Y76>tvYpzST)niSTysQOgzjX$q0pRaB2c%qq-0dExx+%p$ZV|W z!^3J6LL(FgF5rQFQjaDc?eZ4qU;C>ACy>2iT1y_OK2TcAU}X=n5HqB|9P*NlO=~uQ&l6s2OZQNuq&fK!otGnn{}{! zdE|3BlCutP%B(#izmV_penDa3+K>e&eRyC<$n}Adi?_Yil&WOsDJlXR^1mL)hqmVHjs_Q(DAEd** zyfbywb>;X(4TV^KA;6V=?LqhXZ~GvXFm_G-&{h%3*L7Un$%VlvmBQHb@-*&H-O-80 zxF?sSMwo9F^$-Yf|+v82}Ua$CVNs=1a+R&2# zV9Gf?`l!1aZ&gwoP**1mdz~osXxrd}9??*<5TyiG?Trm<@SeJZ@ou!<{Q=~8uk9^$ zD|MX0+lr34qA4gAXXsF8Pm0J%E01?G{GGkJb`7oI`E7<>n2DkTT1+CMP@NR%R0csx zUKO5`4#cv)#pV~0vOTfm#@jH!} zn*T%ay*jq7_1gc(V4r}+dfE@>v&e9f+j4!#m_?!mgj6<(BVqF#Z6cUC@O;e^B5uIy z{ft&#{mr9g-hagA$vqiNycYToENpIEWWTCfDokq(G$SLjG2 zHx27q{-n{i)-Hha2G#;;y!W3dw}YfARlg&;8R`HZ~$!4NDw}iNpJD-ChcE?evybm$(xBGq;cSEN>{m3X66ZXni#$L~oJM zw^|JM`IogC4~C1z<2iym3Ue?|@)d{@daoy4UYVFM1~Fx_{e@h`SI-ki$nSKZ$#&2X zh$|aG_vQQ-r70*W_kaSl3;zPWbd=QpRYa%ToF;6lW$I-$H7QD)E`(vO7%jX>^JrrU zRG2S+_+LA{52MY{`*L*<7G`PmS)ScAc>wO5dZhSLiAngx7 z;)n89R-AEqj@K|K^_@vuTU*gf_S?j!%x6s}o)2BOr@9NDeU?{JLchrkjg1#A%g<1q zwy#sSXffs0IWyy_Hu>qs`lfkwdNOYPS`B{sp0*Qd9XKOjAwTd;D)!gzN9o?9w20vq zxf@37{j6V&*Q+tE_tL6pk28E4%)dEq3mBLcTB4rL#o4{QS!e&Pp%o1@Ym{WBBa_)7 zNTo{1#!Po!Fu;T;xUQrmAU5y9T0Z*8{=+~=5yuu# zNXbpZ=50oGlscC!lQN5?HQ1gg-etg*cfG3-uhUVsuPXd*V)ok2Yz*(QpVK_Tz9Dy< zdS1cUn(mag5X?&4@whjQKmX)WVqoYa6&^`G4XNelE=o=+QaN3L2&Xdf|Fq%!%t% zo7}_y??M>!-BL{tF)}c-mFjx0IJq*!bLRR2Z~T&eQ~DB1YJmAyilC5Nqr}Pxsoa~; z@MUIK{{G}OG#B?xeIWzQC**ZC5-MAOH-ECWP#sBs+m+B$hR1Ekzswtjz>XI*r&i+l zR8}JB+9c48{B@XbnPk+q94=@wQ?avcU1)^v@+3vPR9}qhNLgZaFKE zU(1UwLhcm22Lj|PQUdUnwwhOeF^D($=nRZ*oT0m^@VhS{f0_7~#K!v2 z&QX5mM(uHBe{nDbLmo?$;<#3Sp0jsbvd2(VCt!2@iBQ$jm}+icKZ<&qugS?O zhezYrjNE@j5jgMEj^)fjB*4ncifr^HhnqV0ID@;dt-R0#hFL|#B~$LzU$pU@9Wc>b z^<>CC=ZqC7FE^dpz23H7{9?~kz)qPYnN9KS=_${Vf=y zB5CUjjEPhUM>}a?41=KH8RnUd*4SOX@(tAXb56xcTNjlwLE(E-C!LOco56#1ZKsIe z$D$CW;W);8M}aB95dWs;o5|}PbCfQRrWSI>@AcrC%y#yG`LCxVPpO=VDlP7+1SZiC z2-h@z?@ALN$5w<)mszgW&^GUFzvLrABj4Wvt$>YVlUrUNinV{bJig{wM0q;LX#et4-8(bTNGLhT#lv z*(AOh8a-{~IDX|1-k^1-TLla_4C2VNKiPV(WK5;?7k0yR8X5gtGJJifRR@h*N4e?{ z#iJFUyr|~&Ozt0_DY@j#@z=CZ-V96^wx@=*OqE}Yuu@3yp4?hXs4~CEYcYb3g(X^P zokThg@D)*Mjn3J>CFPL)Ie??}90Ye7h`2v}~6WgQA~anrfs*q{^LRS4P_ZiKO&)Z;NRz|J4m?j*4^B7+XtebJ)I zuQ2mshnlJAjm{Bv?}Nqzrh3AgI8%)jn47Au{Er{DJA1(^{iLUz=cj0u+qcH;YVpL! zb*zXS7O=WU1E%c#r;(B3@R}w8wi*pz<}-ddZp~6@Zr1xh6CNcholkC*&XN4eSWHC( zVvw=^i~VBk-8<84#)yYGhP0giU3WT_lrW_M2|iM7TUKrx+OaXY{r?Hg9(202M7*8` z&uBfa&-IaRxUjV%S!6!)KG$Zh0y=XLgvCkBn^_@x2%58263vTN@fQ;>?eC&ieQ+fE zP`%}t%90N8amnp;c0TQE`iu_GA`$@q9rHFjd#I(tUR z+nV6Zfag(ZTNGphTC?Nb)t=c4UfEt@IvEtuG@uC;J2*HCG_uc4;*P#^pBuM=>Gi9t zRmnf^d-NA>ZG1@CBk8S?dgt7TZI;t$beZEF zN5?SC^aA(L)F%^Z{QO+)fOA^?mHncx;6KAWP0~YnJ+ZEr8bODR8O9TBd%{mIihE=* zy)XQv*j=%-u`)<%US6zu$MuFEQB)@OFHlNub_7`$s8-bziYF2`n%;86(``$BYlu(r z8oSpbYH&SAxcqqjED7Uy)d(fMPJ*pZiyy`>w*32pCPviUh8MX%RfoNU^|VkyU6w^72e_% z-##w$ao}oU|$VGl7HS6%OL{kKi^-lctTls)pek znu7I&R)Q!Um%-tAOv7fuw_-rk=*^!jWDTa1i@IUaet9;>P(iMH(Ew*c@4k=Yw$ z5OM=0@O0!Z?>$xzbM4QXDh`FnPrHb~Hr4%$71}m@&Z8;>c1QQKWxbI>@A37KE&QNN zC~R;s7Knvw4M(EzV6T1zl}}vHSfiJSFN1&R;QBQ$hweuX%PFrN;kbVUV>+zsLeM`1 z>OB!?o5Hf9Oe>Yo@w|*Y^O2?P@lK|nk~ z3$!)EXPPpwa??_4WW4Ab4=gP1?(LYWpnNuk{kF0+fL6&zRHUNHq1t&>*u^6f>?sfh zFAQYk`ms$bN{vubPG4{&8Q9rB!l@;`1YH@&`%i%lj&@gvHBEF!95H&`bK@F2RtQ{5 z(PduSW!_QjZ`}-Q6-@XI{VvHk>=*{E$rVj`F2qy;kG%Dt3U2w@8EW3Xea<;t20LP14T_0JaAR#Xi*a=&3H-fTzHs!%e~9DFOTJZt*3ha{fV}Q<=W6cIhv+{ zof;orb_uqimw23kjzlT?9Y|}diMC-IADr);{ug~#vjd|rF{V9JlJ@kvk%=njrw7Gh zSzM?&ao>%=@~mCTC&uTQs%PwGB^uK*Vdj>%#3<0SD4dkPDo4NA$@8D7Y*>+R!5f@CP^`XlX%ALkC+-z&zJb zr4opeG&0Jt(0%soCYqE14>>(LWNR@E1u8l#@gr1ds-xv2S(d@b{I0+LNSi4GOkTq! zi5m3f`aJvCxUyW3QD!Y$r#8a@+0}S*A0m|siX3;@=Xt%-AYMo(-EZVkVjI$ne9HNW z(5^whYqntCsMTq0FKhWrfj8O1F}XUC6mS)=q+{1?q4I!RRm=ZiKdoFLo5_`06Ka0* z0kx3qZ%<$MYRwj9oaz`t<3bqB@Q_h~Cl3^stNiP(VjV2eDZ(a0@`QU2#0iXhEDz`~L{==)%>m z@gxAwB58nz>3Mi&eI7qNtcgA_f;AcS<2?bXOeBc!3|-|1pBjLCv|RMHC$p?90&Tyv zzKoQk|7nqz(gyR-|Cm{oeHn}Ul7hP8FBEULVxOJRk}!-d{K;vwuO|7~=X)@p>t{#& zkAO8-@s zwmotC66bq%y@DQM%Z#g7PqA``FbXqN(!t!hEc1OVi?)>Jt5m)7JJEkx9UeuF3zc&A z7!~T?^o~ph@z2jAkKbhh%w5upFJj+ z7nXBEbKX2w^s`~NPd@7q9>{yM0l)_-au`?KVnhPBNS zO3pw*k4Q`Ft#es_S?4NdwDqSJ2;c8bx;{n5ke`Ub$^3{9Sa}c6HXejMJYD(Fjy|Af z=Olb%{I?|3G%M6}qFh=!)^;}%3O|h5y=Pc6y9-HGua{^AVKnMc;iWWO`JRW#Fg63& zE5kVCuD(w7X<-d-rK; zLQ#R*rJKsHlnxOk4YfPOz9^+w!@d;huL%CeSQ%PLvj^$eTF)ASZ)oi-j4dkA zmQHHowsp8wd<*BaDmFBrD^^*tlNVyaeZR{YGhlwo`BTkCobOPc9UgnEZR}1FY#vgg z*95R6+;wn)j7n122{blO;4YxB$-jdRc1z5IAKhw)xoDu@#v~?EPu_Qvgj|tc8i7wq2=~~>r{|h2AYr)*svWy+Xd%zWKtQLErIUW=c4_oq~Voc z#?s1KXEB)gg?s-6YIGrEOaRGAu-u1MM z%*#(I);<|*%}|rqCNK^$GAYJUlDKAnp1FQ96k_$e;aX&OSWB}HYvZ~vywNXI=*0%eldP0g$FN_5J)6BNM3y_(X} z0y`^&Pr2_sC#prZ-`QxydWUY|LEsI2v<=v#5q0Cm0Lz%LbRf|p$l}@g`FPr&&{kFO zua>;g1JiLXuZx~CuYI*JMCM+9AZTEeS#sfFIvFX6iJf2+o!7|= z?Y@99aJVE7(@t^!#M|L9E`$1E@)=>hJ&NC-Fyt;V) zWDoV2wcW%&@da`3Q<`T&XNf;YOQxKphf(9C z&YP2_p6Cwnk$oBF(0I=_#hEGznkL=9A_oX;S+nrm2Nfsn>G+)8Hh+f7gNX{T!co!| zb!$(ZeIz zO)cYal8ftKWP!==cRe)@^KKU>%d0CZeUm64na78r?P}=c3_B+$YW4c1lZLKtR{$Xm z+WdLYw+Vf(sT`Mug@u;I;mtp_(O-LngFzcl23J3SiB()o3@;er(a!jN%XcB*feX`* z;CtKG7F;{I1(Q-@1PgDW;U&E3e)|j-<>n+tTDm{*?ts!g7CcLrtz5OlL>6EcPL2KRO5 zPU)7Wl5q*{<3Q@?vk-4hR;+AzQmnCTM4CnxW!RuAFps)pa|w70vi!Tksd{+AZ?|qy z2*`bw2KaDdFec1)mSQU^Y6xpC@N;)Q%rX*Ba+7z;QyWn;bDXGf@X(Q`lFFC^q~K8; zf*=2nrq5^g?cbd4W0UnszeCi;_=&$jRUA%#$p(D`@@$Iz{z69XXXnW3DqAVFg`I>y zUJ@`o3uw$06<@OR!ngO%HlKhcq$~W#0QrL+I#11NZW3a* zg>2WO0o@n`w=r(bbpbGB&#L8D>6Q@fRlnw*9bxY;xEOktE*bGNhYIjeQW9z+plFm?VoElyp^T zEsL$yb&jHFeob2unT!1zbmHIrVkA_t`7rL|mXiC@ui82{a_o1z%~b6q_lR&L7iOsJ z_~z3`NU*QOF$z5)Y3B%>ZN1l?2D7_1)}#$KS)eBLA{*RG;hLK_rh?O<+f>@@Qt7)ryt z`%D3`ehp(q=)ZL(wm!Gd+)Yxk#wlN*d00;Zpzy>*>ST;--(QwKtWT!ajEhW7S)^=9^FOG*Gg_^5u}0*6(LUo7Ut1Y&I-4M?lMl z9TA|;uI&7R%2x3yFz85f#`0*eWm-FHFk+_UlYXw#A&vuHb0&FuPWT?tO&QZOqDmPB zg`cgtQvW--0~{WgMdOw-_qzv^6AXtXOxt4~3@;ORM~;5_CHNz2hr={Wh}@;|K$hh{KgiOwzXj zVOP`5j7-+?8oCLS)Koi^J6TxSpR$i>lUZ|%Zu3@5+z;zh!Y&RF)ll9Lyox%Iqqu$T z`_|HAM^NDwi}vq5d4Mn8!Ea#8$+1g8C5}I_u$laTifoIRJNA$y;)iFd2HX~>Z>Y`$ zz&$YsC&iU*6QD^`i7Z2vNW4T_$FxXW_w-8UHF?5r1?Ltv*(-picG-j9mMi6`m`RS=WL&i(D9F`bs-0X)QXDj`Go+VIHnbn`Tp10XC3Wtd6{f=2-+kuiolug ztY@PWRdK$9m}?CO9YG;%9{{{eR^DcQD_H$BDn*161EvRi>Xr1oF(P^dd<-X#Z)K1| zR2%J?#gJ4Zm;Qi&^LC%|KJKru^rbsGyiXhkgQPC6<8kRQ0NRxbs`mzcjcaPWJj2mB+V#^!;$_m-yhL=TGp};T6k%NxlL z>--9co+K48!2rSBV>9%l(;J5Bk+2jMUAwB>VxHL+RH>uww93z+r!wH;81-y-YMuGj1IczZvhe=+`0IIQC(1_i<_Mg<`(oEPtuR%{0vDARCCt}?1Atx40@++! zMP1E-+|#N_k)n6FgPd*|IUD$>@~-ed>Q{C> zoP8^yv1chP%;B*(9>fF_7;i~DNht$sFtQJQl4!Og35@KcHU`NU=0hf`vP05R+6R`& zh2pD}b^ENRT`ddvbp=)|UDsCDj2pXUp!e zOJa}-w*HI@uCkWkSz^J_Ff;oNOsV*!Tx53lg=vrH*<2P^-lU7oExZ-Bdypph?YLr0#zv0$ zKw!Q5?B)UY@RkcNAm5Hz-aDI7V04!QOu%`!Kfwy`Y91dE0L?s9TyoZsA0{OU6snJP zomsg>*hRSNZLU*V6~CwwvK^_G;gDBw$njs4JG|Kjt{x`M*U&pGGns~!r|-}1zj`u^ z(Qij6gW3`b^`34db$_4yxx_1gWC91(Wi=UW%glIEqk}Q2eUu{`*L)dvmXhq+L`|E0 zaiC?t+6##+7095DuUpl^sT*xEd~*&@82ah*_n?&p^WMa{+K|oDxnP(j@-*hWeyh zH*eld28*nI-6f&WpYI^@e5=*d`N?ti z4dvRi!Tz!fB4uPCIPwRg3j*t23vEy3!J?L(9TS--3}*HGf|G2y5lg#iWv9K@ZzW3f zL-^9Qs;sHt$H9cLoo$~>nzw{Bf-4i~^g^3g@sA%;qW@QCZvj=+8hwu*1Q8?!5u`&2 zX+gR{Km`Sr?vn2AE@_c2K_#WTMFb=ilQX7@tnQC zy<)Dp=FI%P#(AO7gvkKQd`m0ao|isWRyhVxmjtMq5rGb*g)IZaqwE1gFpN>8eAU2n za8@Tz(!2bMK>WT+bg1jq~Q#KcPeS+L1CtkQP9kXDhYxoUmPbzlYkM@Z>zkMEa2-A@2+<+@O zek8b_|NdJ~4?RDB62kk0<=emOLi_vsENpBa0NqQcJh)7e48&AcQu_SiQT#D%9{)AU zdz#S$tmp%1QZEF7IaO0L_m(-(voN^n62Mh%aM%NTfMbw|zwP2{seS@|#0nH0b3n#5 z1#y(6l@$kYKuiuY0q%qNaT|gB)2HA;WY7dp6g-K$Kv+6lcm`?x{$bEtv;gtW-y*QA zhOO+x&?|O!Av?{23-URXsy}v&V>cCYMF*&L%PDuBx7_`kW#R6^jb}bS&=kK{_;OG# zrn}?nKcnyd>$>V1jb?5SYZ7K|hEANkp)ap=XBwzizo)>C@viVY2oQY1c^*0HYuT&i zNB$cBn}40=p#(Fh-4mlt@j@`&{!eR^!|(@PzI*7##>oEXy=yy05Ebn{?KG-o$WbZ*((Nry-9Df%gWZi=1XmP{ z3{u2_wA7$<0oPlo`3S%q|!=03yS(`$X>(4}ivMAE&i(J_SC-k0#e+znSpH_}kv5lgG8%)#@_z(f*< zwQG@*yfDF&T=l67Bg1w23i`@obBY0X{7lup7vq`*5x2nF2@=b7-Kxii8gT{IrNh%* zKl06Abj**06m!Q6el?JMj0PPs#*!b0E^HQpS(O>x20*t~03N@ua|Cp0I&twV;Nimd_E#}qDx?C32TvFU z?gEzx8#FjLm`$@PtlX%p!t5vgD_|JylOv1ZV2Si9X*(?=<2$gh1KQ{HH^<7)=B|nB zgKd(w%eaXbJiK18EWoB!6M36wsPH5&)8jQPCOA8&fTRyHDh-l=%5+^!h4SAy9_pI| z>e2IQiBN{9F4gJY)5%#m2`)vFNA?9-$&+W+O_j@37uEB6Wh)PC3Z`V;HNt()t)ql@ zdJ1_GSI8o{_hlO~^|4rs>H||9$)2g-{!X%PDEatVhP0%T);#ZN>cRTr8KUIMl1&}Q zesSy9^jfxsN$5jLS#>>UE$6d^GHH@f7~2o5*z%k=MS+O8_}whL1BzG@jZ*NEZr4}8 zJvZ=0S}^B#Sl!4^ny{R-rKRTp_x_xy`KYx}278kzFm8xUP5o(E_x$CxQt`08mf!gQ z3-G;jH+Tl2>DR3#+qRx3f_~ZCs;V6VQ?Sf50KovOiK=iQ;8ud)A5rc%v(41S#h$5Xou~I0IJS55PLQOMTBbl1B$H zwAGTi46fkI{l3fx3r@I~p6-@W~ zGrD86>GtKV-=i^0lzhEc$Y2iYfFFFpB9AsaZFv~n`Q7;z40u1rg6n4YsEmo_-L>t% zzkg&)QhHEQH@#8ox8B6fS{jsYM`=;i-sk4rqft?$%x!q?Twat%SSL-x#tR&~hQN{y zmwY~DXpevjLt$N<*8N?u@X6}E*9s~LsYM#<$M0LzGjB`&t{&KKdHUoD4g&ci#u4p@ z=I-AA@Axmm{{Oe1lT#AB$prESPoLr=mvwic;|xI0JV-4_n1aKL+dA8SL+i-0ym_7)51Le|@|Az-89C|E)nj;_BgA!SXF^=jm+E7>zJVQn!nB(523Chts9Ap9muIy8`Lb zN!ibIo@tHCG{}k+>wIz#g^gNi`DDCD6kp;V%3V>Krp^)=l4>PS{T36%h(D-p&d81R zYSr%FyERG;r#os->+cs1OeM)Hsr`Uxx?@!B>Y+=2xXDj*%+jAwe*xpA-uszw>Nd0sg^IXejAHtHnA!ce#> zmd0Y=`A&_h>pJVTRn}`)qN+|N1s0pLb`^>#LK!l^P5R)53wiesV{QB- zj?IY{k01-_(ss2YFEj~f9n1>OJDU~pm5LpB`uMO+XMpnW^!wCkz6-X8$4x&R@f8i0 zsryt$${J!af)m=(U9o=RJdb7-jW$SWuQTYx^I#U#T~%V0{TY_vYUYGrT-tRk{KSEA z_ZU0I@%xbFf~K@@eCquxej_6#5z_1*(zATQ=eBN^Q3%=g2%trX^yM&)0sgD#cI&0j zAor-YBc8LfGh(=dggYowV55e{4s2;?9}$g@k3&hZ2MpUX_x)F5CriXIv`pF=1yL9_ zU5~Z9P_sVFG`VjmLcG z=vtK9U2e_8Zq0=Z%YTfet_R&qIrnGe8?t>@SR7Klg?}b>eUf~b9>?gX|E+Ze{2%Bx zC6h843{}3%y3TCrgx^-n-u(P`X!VTmQS_a3Of=J*(r~rk1gO+CHW$(!2#7Gca+8m1 zgf2KN|2Cw(1u4%sOJ;Sj_gn0*rv({Zc2sN z*^?C+)<1any8WiwYnHbeOY+xooc}!gkPH5o4VL8C8i$B8DJu9XHWmv3Eo_V&!)I=X zooyuB)XsQVsvp(*#F}n`J-KOe1Z!=utb4TCeY##5y?E7KRBznoas$>~7&G8TxGo7MU zC|ep2bbR(tYz0b|1TH+Z^UX`)X`i-ux|E1nDS-P8jl4N(iE;JUI`C7X4EfuMr|oBG zwRF}We<>XHN!V8J@JU{7H%S<<*I1iu=}_7^oKfs|sE+TegNZs6B? zKPj6!p-XhNFPMx4y2AkY?<%-cA__@FApnNSAmBkJ8&vjGweUv#N%J)-?^oPYC;a{xQ z7QZb1_To-uS&E?5m5*!L>z_C891u7*(7m<7d;h9o$kJ=@!!6fz(G{zOyVM3)V2#?W z9BW9Jy!#sLRl&J*>jGB3qs-%z`lKp@)Kbj2hu_VVcE z>4UCT50Odo+BF!>vku?1;9sHGjuFTxa1*icmsXSNO=y#P8xSzK;G;J_b|(P#34#!9 zO)yi~T~5+-fE~K$5JN$)X>j&Qr63CM5-|nZfq>CGp{K*1(uyi+X{|=jI*R`7PY69Y z>R(fc(8!04=`@9hOj^QT9_sGuD_lMz>ufUmUgy+=86OmsPGgHpl+(m}XC#ecYm5QnE+{I@UKAJ<$uB1j;?K5`x)hAtq?oPUQs?H=WB_9K= zT2tNKdP@^^<*^@uYf!Gg*@B(%p}c6;i&Jk{r5R1o1I(qUP;E^RjF2iG$T|7md7$F_ zasiM13Al0{6)H}hHtkkNDU$ArH6yRBXL=6G7`d3yMy0!>FEzD5X*OzWd3BKdBiv5xBr*PG}_N8Aj0S8qd(p zY%12BJ8eND^5~^bOJK-bZbo0O%ZVLMkj@8}NGKu((qux@+heszsa5gA+p{819%U^x z9=NF2YyB{I{7vxX&AS$ouj3>Uak$;u-=a8BH0IjvdQQ#^f}tddlCA?aLxrr8nnqV* zC%eM8GzlHKjLi2?@#ht2j+3d*%w|X{br|SOo7$_fsi`!Fvem|?Yd@Cld@H6qeIW;t z=WAJ^qM-mRydu90sd*rH!@d+zC2bn|^-000Q0~{#u>}Ph@~{95+`xx7MI*_bDNtKm z7C7W;Obbe``0NX1Gk-pIj|TZkjJI<5|CxCwal=e}{+V_|PNb{aXle;h_Pd~VOd8D3 zAi9qg;MY5!!>qE!nTs7|73f#-nhrdIv97E}3-V{u$R(|9iG_ArejS8H{zvu*mM~y? zYhv5HItrHC^ZyzEnpS9Fr9$&xR_Q&M&0e8gxx30O;wV69Vfy|f4r`V+dMfl}JcWv~sREH#vj^xuV-wx(UR?c7Xxp1BI zMXMB`O!*k1%0F6kI~ ze{d%Key&U?RBnl2Rqg85*{7w;$;SQs-0d^pvwn<fQ|n7q%Y0 zXQ0L@{xxymqB_4?)4sqm!G1Jrq;SweS=fv;slmyPP2Gw_lcX(xR<-RlPQ>QY`8h*8 ztG@&hE_U1KBIS=bPurQJ1lN)zwVBBS8M!$20PA~P!`~eJmm3m><;_egV{m$L>aDGv zS<(C7NRO*`Y++&*^- zw^_cdrW_fXk(O>BRE_EF)xzl{pZ_gDjdn4q|L)5hnIOVF`s}4L;&^A)$?>SU#C6p1 z&VdfPm>w32i-%w?T5Y75jUrxsgxQ+?=I#mEMgE&f&iiW-bK-_^Z(dwQ7bDn}Zr)M! zBJ&vQ;e5(YL7W%%d2U?ae0+~tszu4>j0Uyij%i17zdkS7EcKI?2C*gOm8}g`%*^lV ziK6i-{fn&LvlUA_k_YIhe#ZC5lgA8S*sqA}#O^a+bG^6yjh%kmbnzORo}b)tuO zEC(DzwFfV=Yszn-^bO7E)i`yswKSNkLX?=#wT&0;(u#^%A1Z#QLW#H?X+Gw8i%lnk z_84E7rSp!qgPGwbwkgwEqyfRvZ7zP_kvFC`hirm*U+=+S|28TVzXD4<;zu6PAaidt-jYU zZ^Nk}Ramf8CQAI=&y+p1RrDCouWDFnoUAr?y2qs2r0xY>2FuK34L@5);&1c2-rDI_ zBNgS@+>uv13CXeMEf;Z6-#lXPjyjCJ-2Z6RAmxCC`tc(kg*vI_lb|;@D{pOL!|`+4 zdtG5b2DdCHXQ?c{u$bLn<~cg`GgSE)iH*(RZY`SW+#1WJ8H?k-#M=jZWu-5}VoEaG zNXPZ`m-|_@*wy+J=o*;3-!(hxuut8^RaM9KFScu1vGZRjr6`%ME%caQdQRzU#VZ@9!cTCR zsPU+kJPo7@KtttSe`;Ue{jJkWx5+hbBk{0uckvMCL<$QRL&t`N0%hkK5h$S_Tv({Z z%yHrxalX9#3nSwd6S0*12D9Mihs+Dx`>*5TD2~0Pcib?!xXn*)-r(W!rF3JKQLUyk z_WZT|vHQC$CW;GF`-$XE$CV+K#~(_U_v3CGqgC!n{W95s7(Uc-~At8DtOTljR!|vSO{lo6Q~B9J#U0z%_1q z|ETd^?;)=uerclaRoboRiEDpoGv2;A6(IFnSla2cUL*J6Go-*66SFi(yj!DV%|am| z#M0Y-E{c+nY20xp}$vPR?ej!Zc@Ihs~6QBet=zi`(C-cq_euSn_X z>|`e{%DqQUu`5^1+cv?gkNI!>C@|>Jj^YgeFLd$^f6Gfuu^5aNAL1_!9%n3XqFsxs ziQe~&5l(h>EKIU&=$q!cy^$F-RvK27mYDeEyl^S(?~8w88sUwJ`Ro44S+wWVd^W+M zujHZk0~_%|T8mrv(9=>be|ZH7hN3B1Yfx#3k|vPOe^XowSVeQ`Clb-<&5n%vS!thL zv7}TpSCjXVN&CBY{dq-y<=S&Tox6ey z{kjqE#|IQ8;^{`$uFwAHX!7xR)G?#${TJt_X!68NfDc2P`Yjk_g9>8~0Kas{m zao~mV@LJEdcw2YQ^75Gw5fRyKPYG5VF>`Qq<}1G+^3leAo=o@4 zdfI;Qv5@fKBesl!srI(=?~c4%w^UunQ*2&M->l)Cn2ZTYn{=wHSA0<<;{1)#+pJLQ z#GPypZ`b@dFYGY9Q#{}z`>)&hhpevZ82i?BF_At|u97YRo7SkfDD4QV!9-~}VmTWk zTv~6N>c)EEqeeDC5^}6v-Pxm^SAY1I-#qa))u#;zl@meD{m5vJm0w4bXL5VM`_iwU zwEgQ>tt2`kD*Z?Ukitvm+Zq=&g*`yH05-eCH*TO25D);e7b2|6cFU+gQxtef;%_rI zV9lAm2Nxe-^`Fq3MnJ)9kkRSRVBqDwX>V`uFbT3138WaGhlXzQ@fFWrTVG$lX#-Bn zLGmBQZ(mAf6M{NCEdN%@_TDXg4?)Od#NqewihY6Wb2OAuQ=a6Vigv8gd9LLMyV^Yt zj*LgBp4Un}eQ`rv)Y)%79v5p7Qu99+cVR_e^L3GKuhFVVjgE^~EOFD7%6{N+sE+j_ zK9ii~S)6=~JgyzNA9HEqG;xDIBX9c`G#u`)&SAfd(!?_R9~%d6wb%Am|3&L>Nc2yv z%rhwt^{eu1U8^iji%#;Y?Qcw;)bpXVRGa%PfOf?n&%)x*d}-^44avkLQ?yw8j)7%1 zlTNb2^&+RecCr`L@5niH8iL-vqYdjY{QGB?2KHasqw8I^$bn#U6+BD@1O)V<%VK6{ zUp~wda=s2?DghrqB9dl^6vfhN(S?_licX8y?UR!e2kfli;H#8WRLeexo8y51SS^f| z8*EL-)8m#!t$`5YIjT+91`jsv4W+@C@9)Ncpu@X)6>)I>(g#& z2)S&MxrtD_Y)^GJi_z0xi6DJKlRMC)CCJBjYq2Y)3nnx3o13_{wjFx;sWptfM3bQ0 z3oNUfP%Hf&%p>5?ZDKx3g{P{0c$fsfhaitISJ4L%3|9p(J47@gz>7H0jHY;T;8Axc zC3%{NB~_vIr{MhVRI3Mg59-v}&Y$rQabwgq(O|9#bCG`p^TZJJSE>S9+?0BJ_@T{z zYV+GUu(qzv*=PRMD){LCmmt_*ax$J3_ZX9qB20Nu{k>{!MTxtX=VE1C)|ybH%Z;6@ zJGHxVJ{n?t1e3UG`-!s`kTU8yOdod769oTSwfEF?%SqGV2Pqfy!EXU`85#cmSS8cB z3#x6hH>XeF*eWx#{-MY zD7*rWq-1qJ3fi83gt_1Fqt5ffDK&JP#>zo#gzdY%S1Mf008J| zSy^$sT2>}FIkfBibelce`aT_G2K{Nhq<)gfCJCw{|Nff0XMEDA#N=%LOXPEYpaus= zPZB#r&dp5#cx=Jf2&g~*_<_ILpA}kM%noS)05;sA(b2_)j)>zOfG^k=VMTz8pT7%a z&xVAK;82wLoO}G;947{iEMT_B$0a3Q1B*@|*cpHvkvh!ZbiEH$(nURQ(SV6^#QlFq ze_}#HFpZ6k^+DcXy~TSk9g?RpIr%-i)gL}XBe&3FU0C&e-KexmtR(+6JN2#e;|!wb zqN99T_Vr%!zida7a@!`ykuRjf;Cied(!L^5SU_lSt}7Lghmq#fdIdG6b}Vc$Ubz(8 zPik+;Sks}dADP-oUY%%1*KazT@11X+Z|=-kUdSGrc`FksVT>1oJfHnBUs4YE_Zd`i zuiO5SdD!7R)p|+Q)AQl-n%Vu=uP8;_2#LZmJP$Yh)!AghfMyr)x&^>Am!lCwtAKz2 zM488C626PCrlvO4a8oBMn#+!}BbFnh-J_4QTP(pm&}PdC7( z;!;yzgFgrgnB7-stq+PzOIJJf?im^y1|X_FQrUa0Hx%#Qxnsv()tksJ4R0B_FElhX zz^cFcUN%ZfO6m&gom#0b$V_y>>I0`*NO?Io7&zIT9$HubP~?>^jYnJ@5ycx|gkgiI z4X9Vw(B8T8VR#Xw!p8ognY6}|6E)%K^l z(f)y4DlYjR?(PTO2^rfyQ^H*|1_syQa$Y71*Zcw-lbrN#5_d+QPo)QjqkCu`e5HxG z^b4&Iof6Zd(8HLx`sM3DkmZ&$k868#-qDa|h+GzS@Q9s*2bJp|pYV-w$GWYCr}$C0 zQL*s+RXSSsL{ab)l96GRACH&C4-6>P8-YhGKj`yZ`WKk@a^8X9__5Kx0<=yepc^Yi6DF4+wisyK9;y14L7O-*T1s_E#klUlxjdxmVAd}(hlH|%)L z*M9_5@z0~9r0~>+G&e6~zJ-X|HaeB0d3?P*A<&sv#IVk#XsxK!GIe z+c$ZDlkc4oq-ADCL-;WQaXv)+2%lOc3^oB4A#9VMyG-cjRn+QtmtKk&-X`#~a!(R^ zSArpe3ba(z*E%9&c_n4l7hFb4qm$xG9^VAy5 z40AYk`hU^tt+!XUkL!~K3kI$;Nl|MWpY6Xi$3 zsyYX7*;s>f(G+Sr7qn)eQtds5w>pFN2V-n!T;I#!m@Gz7N zWNPU-xjssx8(Q>{lai{7B}}&5nX^<{MLIz?DVVOm^rUa8M&WN}*fkZ9hKx}Y7AX87 z&E_D}>htT427STR7^at&QICHK>FMc#><=kuCe3RurE-q`D%BG|gNblRXy`RuJgtj* z_v0NpP-`g%O;C^!B17#!2r3{6t*(CXskk_Sn)K$)AXsJe<7RZlW7BOSgJz@-8j-Zc z8)-0Z!ftA6icL@dr247Y-qm*`kfDgl`AzRgP-y5PumQRNIj*z!ln%jd8?Q74IzkA9 z&^ge4=diW41?->GVKVg+UtTNG(!zr9=FJbq1M6_!}EK~z3O##bhT0as|@t? zIUS#vQ=mvP+}1wPNCCxt>yq(mI5jY%QDES%m8FlHV|XOH2bLrHkUF?{c%&bNpS7baC@PY;gbPDm36;k&5GF`6H$XCry{Dq8%Botc z@jV76=9iwH>rh23HCTt@-VO)~!q{;W2?`E2e?W~&hDo!o&xr{ry3^gecU}DAm;s{Q z_`;LPU>wr9wKZ(c(i*i*S}JMI`1W7Fo`aV5mo`bCv$ViKbO#5An=QFuoiV@r{SuwO z+HPK|KB%IpNqhOh`K*K|S0GUpA|`b9)6>T5@bxu_U@hf%8T@nalN z0lY>^O8Ox$uNTiR6C~1*R1q1O7}y*vMR)jTHl{m1>#izDNOe`1^x9oscqjbO($&Ss z!NCFkQ5$GNp5S27aW=t@7_g<@c^++R+6sD5!@xEyDoW)9o8sRb)CyfttHQ2cY1zZr z-?G};lyGnAm~ymReW=<)@Y=tp@f#TIT2+UPjj6l2xmBf>)gJgpUHBBqagw&xR96T4 z`%6ZA*oGe2&grGdMbFQl%EgP=bU{w+{{H?*xd=LHPE-gbngdqlPS3Qw9bGZf!iz5OmBP z{_mwlfnSP+g{9;}yT+Boq4Nbk03jivUxu)&AqYVw!#+~2IP@v-91BIp{$5U&MkRxl zI22O@t-iiNK|%VUHRSg1FAKlt2`t9?MMU86*BC>eghfEm1)ED;u-O5pViA;dI^dCV zI^n~j`|x6KXXi64;g)W2$&)%A@65Y2+ngQmvQt;e35CoshQ>20ehIurP-fgs1nbQ2 zY-d{poY!yiufal@yiM>wfAnh$F!xe#a^r@5M+T(8?uw?`xM@jABqeVu-A%V<1?C;4 z8-%)K9)ffa)yyPV>11>&B=-P|+0yMxCd|=xc76cSz+CDzCi0P_uzr#PO2R~4@b4>u zl>F&8>gv(I*z6y?|JG=w5K8^^&(5ZcjEdTwYeUDvxKcmQ5fr=HMJ5d!!Z60;RM*sW z(EBETs_Y<-MMo9Zwb<6(jeYg%)jIFfnv!<954{ipJ}j^C2EBp5XiXpbZOD-yN=&4L z!X#+l-IB)3S&Ai;s`Be!-54f*4rh#m{7edqE{ISHupy%VeusZI6#f&wCvAj3OsmBS zkzBhg4*8CZN=57B-zkD&C5QYFkP$-p6%`dlGax@5)&Q;gv}arvP~f zczAf=QH@GKPB&7K*E@z%Zw$8OmsAI?YY69O{`W0Oz9O1!I$V+ z{c^Q1f&b*?=;+w6Ylb~s?V==Vd2P57`64Gb%u`KP82!uizjyp48~IT1j_sg>!H}W9 z0Z%&}QMeP;<0LufVyc(@6Osp?{^!e-`#{jm|Mf$OaEai(|DS*Q&VQer@-aR<2=I!b z$W{EGKce&mBttO)5P>Eimy8Pq$Jb*2m_aW3b63|j!*Vh-G&HC_f)eS6ebA?#lA=33+wUJg*cjD-AW>OWWqkB!R?W=|7zsRFT>4PU z8Uca93WAyfEnyi%O$$MX^Y=D7a&mH&(0P>i^(nY4cH-Tlpy-9ZWDFRW13 zH-{n)m)QiU?$f(>e&^86_H}oMe^23&>y6t;g1)N^h<@dOMPT|-iF#ChU$mWW=zwQp z9FC6$6!?=BCOF7j2NvkBr=K~w9^+R-Llo4})#cdA&&PM))YP;Fih$s*XXyfQQMY+y zZ6^KD(8q-TG!16kyIfr#adw2I^S-{m$gSDd*7s7IL=!Li;X77ypZzxxU2$%1?zfbM z64M?tc_pAW&Jgi?tqrHE>Vt6t9 zrRRD>J?yT+*V`^*eAU~+@9$sVPm2WJq8=>cln-QBeV^rE#@ zT(wv;xU*B%I=I*sJ_Y(U{IBps^(CuXwKnsh8~|I#RjP(Q$^)}f)7(SOC>UYp2`V&|p9Ay55WD&vSN;0o%cksAM&Jro&$g+g<{~!nJjDai;LHU=cu!;87qN z%q}zbpeipDZb>iz2{%AWvJGe&NOnLvql1G3c?E?b*)fki(F1_7qM&|2l4&G2FE6h? z)b|K~x9Y|o&im@tU=TqBI3)zaeKh^Xzx?Ic*h`p5;(;f+{omip@Sy304w?Xg8bQy- znmzfgV1`BYG>I`zUfMyJt*PC$SRiQfqN;kf!#Cv@Z^sJOzOxyl&Ghm>g7!@9^# zN^u`bR@F}f&SpVo7}b<6Tv}RMWMpJ>kog=Y|ID@$z(Ef#wRduQx#31XoY|15(dr`# zg+(CXKlEH&Wen{@p6eryK0aa)#i5Pqu#T6%gF*qe0$tjd-rgdkz!B-K`b_BgXbG|O z_4Pkn?;ji>%{pM8v^TE{^S<&P$^=EO#Tag|MgpQ96$;6E(1I?&-Ry)n|9SOAV+3Q> zVeP=wRJtafFquvpl>+lkdiZ$I7cSO3x!X8gAM4DrhQp3}j2k0Rj$D*gB+?f5K5TG&qp4CxrP0Xjm|XES-Xsr?4MS?bVKHieR_l?O&=EqTM98I zrlyq$B|<|}vjXJoI?0THs%rvDv2?Eg#T8y&V}u*YZ!@JI9v)uxHtO|I@di|}T-i$B zS}y)ss%mTZox`2|z0Usos`Ey@AovTA!&hJh0eV`F5d7GH5AF>N)4rLROmA38Zt%eI zkev2-s-OUJuCF#hU)K;4gdtqTSI}lzfffhyC$e*L0!&`Ls(_${=?CHl|3xo=Qs5mT z?=B6D4PBe8Skm10SIQ~)ZOS0P{d~@+Db<~wi0B;D*Vl8yTLe^QtY7@HZwrTjz!ZXk zLl=#hS2DEW5!k^}BaN=ME>I(~%YAAcDzJ2Qb;W$w@yyUL=Ma6AXI*ztQQ0A1$azB$ zoM`aKxctIp=vUU(x>ZZGyMaznMOl5JoR_(=u`v$DfGJ5yq{I;&eZ#{E&G7VWLRy$0 z(2hYs4`sL3gkft11zdOww!5hi)9=F@6A=|1pK122rap=Y>msZ6C;l%zv5-4LH2?|g z|0aib)BTsp=9Q3w;s3)QktYTJ74xGiY?X92)p2lP(NFCc>er3;=QIAnpg4T zI5h9Q(LENHHt4nIp-+jE$AIGu*>D~*1C`5Doq-k8qNoi45fMtrjqoqjKj35_;I{Lw zr&O=r;VuvyuR#t+N!ZwMG&MIXtEeEcGdVfgNolEHZuAH%rNpHasrBG?g@fAMcg%+k zcOK)1_k1@&lY7n_Z)Y@U`Ie>r04IS#Y$9j73UZ7UfpQtiN`9X0N zCPNRXK2puYCwSZo0+`a?-rf;gkgMx_FI)cEK7RPmF2?M!UWpMPl5m&ifk-&y%q&C0 zCH0b!n7F+&nyMGzCm6Qu*KNtgP@5=nzK4c_50)cdnVNP%nFQ^I5!5jYhu~^n35~d8 zD~+H-(8=j3Pq}&@H2LE@^X(b{Y8yqC!&RyQXmw?Nz6~w~4lb^-Tr{OQ&ySj(i12U& z)RGU90;pwuxcw%?d!5dl}*)BI)1L1>>O|i2;%g_qA)+5|fjeNuRm93r0jo zzk;zs-_M_M@ThhVOKNemuxgP2ENaNX!J$pXdvLsKv^`tsWz(~u{ILb{P+@v&wTIQy zgrn?F9LCGv#M*001XX7B9O1deMFA^~ymkvXuec~-&?reOP3Qoyx9j`@Huoz>bv>iF zJI5gCBUQwtm$#7-!v@SaJORVikd{WT6=h-y6%-IC1CZ*TR|eyH?fXAB6suKTv_|7| zHq?nnxs0r5Ip21C=s7n87h0=lIXGUydHR%{?H?Q( z$^-KzXoW=*!TbsO!Iwh5a8r2r`AtEi+l1eC#`yH;kEsZCOoo_uYJ@qU$$it)85yFU zi8{?535p=S4&m3{c|cX6r$==KAce@T#d4J*RTfdzgnmU0k-{N0&vlK2{aV$S?*)5e zZ-;|FrNhBtZC-il?h9?I$@kVg8WFcxoFm(u2KPWyK*w`W`840lniHHIqK~^zCf)yhZ^AfmnHc zNv&D06+OaI=~c~LbN*CdsZMc(12a?9FYbb%s^B-$IW@3eaT{t-K<%=7d_Udf=HmJc zL$z1{-v{%a8Nt{FS!ud||Gtuj1~y8-=S%>4o+Vu-qVOS(QaJP0oxi+Ratl{Uu`nD? z-9)JG5Iss;eLlROI9+M_44Pk%P;qh-DI8Jr+|U?58P4wRR~UaVnz=z1%NPn^A+$-? zQ2M8bTgU_vo@f5kI(ERm9f-T$-gPSWj)Pz?Hsf<@jbu4^r)>!81RxY&?=RK!npztb z7OjlaV2%=lhc8)9VfuqY!Hg>^J>E%&S1YBe7jo$i%*W=T%nGL zRxkfuOn6@8LODW5h_wSRWH$**{&xE-iuH>xqaNvujEo=%8MMqhAjN*`G)u(&$~*5Y zEyt~5PQ{_hNXB*L_))HbmLu1V5q1&xJ!Aqf#V0N<4tcDb-6TFGB^;(8+ed)AW5P-e zABvWl84EJsR0{}N1Bl!XBOIjT_B!TDc2ZX^3O9hR224ls0o4XKzc~o;0^s8iL5=S0 z6yh0l&jfv)n4*)Q=A7o#^lPKT{LUYlS*ih!c^c0%kYdZ%A!6_-XfkA?Zy2#%l zLRuaeJwehAtgjaY0Bh*pv(EN*bYyD9#uijizyj%&q^0#RT~GNo6qwrHW8f{%&3(g5 zOt0jw+;H-Q5#$0a92{wRd8|ZEz39)MC7^-&Z^i&Esm)Yf_TlQtgs1g0Z}Xf?lbgc~ zS*0^adWyR3g)ObH`(=o%XyN>UP7v|}y(1ot7$sBz9k9%SA@R>wDG|j79T_+P zAQmNPewO3DXU8B!{z>1=EDXSh9H{x2Sy&|P?6|<`VR~IN6y`9HnF9cW#itU&fc6KD z$UGEc$aEZ@2;`Gjud5CooHmU{SM)y}-gxw4v<#xoYI7$i%v~UG6ncsLmoO)+;je}J z6FXG{J%I#$9Ma$c{v!df!7i8@F;jLK+1NxQ+C<1MTTgHAJdBH=Qq%`F`+vh0WHt^+ zMJL2=U?ae)*gtz;%3*c_6x;%+ebC_~0WqPr{#AOzs@feE7HrTP{|rP519(}O`z%6M za#(B|3NI)CCEHb90lBk}?v;9Clp=`}Nhi%?BUD zJuq*MzQ3na_T7AsTy^<8At8YdS{3077|S73*dVFwsd~Vck%sgPOkRGE6jMN&pI={p z4a}o-0sAW;R_`AlPmD5O7=xJ$rI;5PEOz6kr>EC>M@L7ORabYw9n@6B2laELxrg)B z+wn8+84b+t59=H5I=jax7#>ym@RqIFYFfuLxOd+qRIILhN^QQ?ka1fRUbo~(PIBMPgLi>RndhJFR z#S-T=1hWVaZ-aWs>BfEKK*m3$!Y-SiA;j1Nc>(XCT*G|}!8;$&q1&QoV!B30M+a^T z?eIfrC_rgFw=14yiiE@c5pxxk@eKy-cBL;xy~WEtBJVYDiZFf8cCW#dt~bit^Y8B) zh)nn9OtTj0JkedDJs&uihzVf3o|?DNQa*XHN1HFa%d%}5UdC4>g&z9>6d@|NDAQ~ z2%pR|q$~hWu=HPvcRR^)-oKyU+KK|_Ned ZNE with PennyLane + Cirq: Energy of molecular Hydrogen ZNE with BQSKit compiled circuits ZNE on Stim backend with Cirq: Logical randomized benchmarking circuits -ZNE and PT with Cirq: ZNE with Noise Tailoring +ZNE and Pauli Twirling with Cirq: ZNE with Noise Tailoring LRE vs ZNE: comparing performance and overhead PEC on a Braket simulator: Mirror circuits PEC with Cirq: Learning representations diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index c76c4f2c5..41610e293 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -13,34 +13,39 @@ kernelspec: ```{tags} cirq, zne, pt, basic ``` -# ZNE with Noise Tailoring +# Zero-Noise Extrapolation with Pauli Twirling -This tutorial helps us understand the cases when noise tailoring is helpful for improving the performance of -quantum error mitigation techniques. +This tutorial explores how noise tailoring can improve the effectiveness of quantum error mitigation techniques. +Specifically, we analyze how converting coherent noise into incoherent noise through Pauli Twirling impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). -We will +In this tutorial, we will: -- compare coherent noise to incoherent noise -- Pauli twirl coherent noise to be incoherent -- compare the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE) -on its own and in combination with [Pauli Twirling](../guide/pt.md) (PT) when the circuit is subjected to coherent noise +1. Define and compare coherent and incoherent noise +2. Apply Pauli Twirling to transform coherent noise into incoherent noise +3. Compare the performance of ZNE + 1. on its own, and + 2. in combination with [Pauli Twirling](../guide/pt.md) + +By the end of the example, you will understand when and how noise tailoring can enhance quantum error mitigation. ## Coherent noise vs. Incoherent noise -**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit, they are easily carried across the circuit such that they scale up quadratically. Dealing with coherent noise requires a large resource overhead. +Noise on quantum devices can broadly categorized into two types: Coherent, Incoherent. Each has different properties that can be -**Incoherent noise** is a process that entangles the quantum system with its environment i.e. this type of noise is irreversible. The system and the environment are in a mixed state. It scales linearly in the small error limit. -The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. +**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$. When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. ```{note} If $\mathcal{F}$ is the fidelity defining the success of preparing an arbitrary pure state $\rho$, then $1-\mathcal{F}$ is the **average gate infidelity**. ``` -For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\epsilon(\rho)$ is the noise channel: +**Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. It scales linearly in the small error limit. +The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. + +For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: ```{math} -\epsilon(\rho) = (1-p) \rho + p \frac{I}{2} +\mathcal{E}(\rho) = (1-p) \rho + p \frac{I}{2} ``` $\frac{I}{2}$ is the maximally mixed state which can be described using Paulis. @@ -51,33 +56,35 @@ $\frac{I}{2}$ is the maximally mixed state which can be described using Paulis. Thus, the depolarizing channel can be redescribed using Paulis as shown below. ```{math} -\epsilon(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) +\mathcal{E}(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) ``` ### Pauli Transfer Matrix -Let $\Lambda(rho)$ be a $n-$qubit noise channel where $K_i$ are the Kraus operators. +Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the corresponding Kraus operators. ```{math} \Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger ``` -If $P_i$ and $P_j$ are $n-$qubit Paulis, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, +If $P_i$ and $P_j$ are $n$-qubit Paulis, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, $i$ defines the rows while $j$ defines the columns of the PTM. All entries of the PTM are real and in the interval $[-1, 1]$. ```{math} (R_{\Lambda})_{ij} = \frac{1}{2^n} \text{Tr} \{ P_i \Lambda(P_j)\} ``` -A PTM allows us to distinguish between the two types of noise. The off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. PTM of a circuit is a product of the PTM of each layer in the circuit. Due to these, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. +A PTM allows us to distinguish between the two types of noise. The off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. If we want to not deal with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as the expression above, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. +It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise differs +across the circuit used, noise stength, etc. The higher the number of generated twirled circuits, the better the result. Similarly, we get better results from Pauli twirling when the coherent noise strength is closer to the small error limit. + ## Using Pauli Twirling in Mitiq ```{code-cell} ipython3 -# Utility functions for Pauli Twirling. import cirq import numpy as np @@ -95,7 +102,7 @@ pauli_unitary_list = [ ] -def _n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Get a list of n-qubit Pauli unitaries.""" if not num_qubits >= 1: raise ValueError("Invalid number of qubits provided.") @@ -115,16 +122,16 @@ def _n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: return n_qubit_paulis -def _pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Define a function to create a list of vectorized matrices. If the density matrix of interest has more than n>1 qubits, the Pauli group is used to generate n-fold tensor products before vectorizing the unitaries. """ - n_qubit_paulis = _n_qubit_paulis(num_qubits) + n_qubit_paulis1 = n_qubit_paulis(num_qubits) output_pauli_vec_list = [] - for i in n_qubit_paulis: + for i in n_qubit_paulis1: # the matrix_to_vector function stacks rows in vec form # transpose is used here to instead stack the columns matrix_trans = np.transpose(i) @@ -137,8 +144,8 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: superop = choi_to_super(_circuit_to_choi(circuit)) - vec_pauli = _pauli_vectorized_list(num_qubits) - n_qubit_paulis = _n_qubit_paulis(num_qubits) + vec_pauli = pauli_vectorized_list(num_qubits) + n_qubit_paulis1 = n_qubit_paulis(num_qubits) ptm_matrix = np.zeros([4**num_qubits, 4**num_qubits], dtype=complex) for i in range(len(vec_pauli)): @@ -151,9 +158,9 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: ) # ptm_matrix_row = [] - for j in range(len(n_qubit_paulis)): + for j in range(len(n_qubit_paulis1)): pauli_superop_pauli = np.matmul( - n_qubit_paulis[j], superop_on_pauli_matrix + n_qubit_paulis1[j], superop_on_pauli_matrix ) ptm_matrix[j, i] = (0.5**num_qubits) * np.trace( pauli_superop_pauli @@ -246,8 +253,7 @@ print(circuit) We are going to add coherent noise to this circuit and then get the error-mitigated expectation value. For a detailed discussion on this, refer to the [ZNE user guide](../guide/zne-1-intro.md). -As we are using a simulator, we have to make sure the twirling gates are sandwiching the coherent noise channel in the circuit. -For this, `get_noise_model` is used to add noise to CZ/CNOT gates. See [PT user guide](../guide/pt-1-intro.md) for more. +As we are using a simulator, we have to make sure the noise model adds coherent noise to CZ/CNOT gates in our circuit. For this, `get_noise_model` is used to add noise to CZ/CNOT gates. See [PT user guide](../guide/pt-1-intro.md) for more. ```{code-cell} ipython3 from numpy import pi @@ -321,14 +327,14 @@ print(f"Error with ideal and twirling: {abs(ideal_value - twirled_result) :.3}") print(f"Error with ideal and ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") ``` -Accordingly, depending on the noise strength, a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique only contributes to the resource overhead without providing a significant advantage. +Accordingly, depending on the noise strength, a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique provides a significant advantage. ```{code-cell} ipython3 import matplotlib.pyplot as plt # Plot error vs noise strength -noise_strength = np.linspace(0.0, 1.0, 200) +noise_strength = np.linspace(0.0, 1.0, 50) error_no_zne_no_twirling = [] error_with_twirling = [] error_with_twirling_and_zne = [] @@ -358,7 +364,7 @@ for strength in noise_strength: mitigated_twirled_result = np.average(zne_pt_vals) error_with_twirling_and_zne.append(abs(ideal_value - mitigated_twirled_result)) -plt.plot(noise_strength, ideal_values, "", label="Ideal", color="#17becf") + plt.plot(noise_strength, error_no_zne_no_twirling,"", label=r"|Ideal - Noisy|", color="#1f77b4") plt.plot(noise_strength, zne_vals, "", label=r"|Ideal - ZNE|", color="#bcbd22") plt.plot(noise_strength, error_with_twirling,"", label=r"|Ideal - Twirling|", color="#ff7f0e") @@ -371,6 +377,15 @@ plt.legend() plt.show() ``` +As we are plotting the difference between the ideal expectation value and the noisy, error-mitigated and/or noise-tailored +expectation values, the closer the curve is to `0.0` on the Y-axis, the technique provides an advantage. + + +```{warning} +You can get better results if you control the number of samples in `noise_strength` in addition to using a higher number for +`NUM_TWIRLED_VARIANTS`. We have chosen to not do so as this drastically increase the execution time for this tutorial. +``` + ## Conclusion In this tutorial, we've shown how to use a noise tailoring method with Zero-Noise Extrapolation. diff --git a/docs/source/refs.bib b/docs/source/refs.bib index c96b3fb3d..de17ec738 100644 --- a/docs/source/refs.bib +++ b/docs/source/refs.bib @@ -958,6 +958,19 @@ @article{Viola_1998_PRA # Letter W +@article{Wallman_2014, + title={Randomized benchmarking with confidence}, + volume={16}, + ISSN={1367-2630}, + url={http://dx.doi.org/10.1088/1367-2630/16/10/103032}, + DOI={10.1088/1367-2630/16/10/103032}, + number={10}, + journal={New Journal of Physics}, + publisher={IOP Publishing}, + author={Wallman, Joel J and Flammia, Steven T}, + year={2014}, + month=oct, pages={103032} } + @article{Wallman_2016_PRA, title = {Noise tailoring for scalable quantum computation via randomized compiling}, author = {Wallman, Joel J. and Emerson, Joseph}, From b1f04de9105762941aa38d9ee79b16c184ccde8e Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 20 Dec 2024 08:51:48 -0600 Subject: [PATCH 07/25] correct typo --- docs/source/examples/pt_zne.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 41610e293..fafd737e4 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -212,7 +212,7 @@ print("Pauli Transfer Matrix of noisy CNOT (coherent)") plt.show() ``` If we compare the PTM of the ideal CNOT gate to those when the gate was subjected to incoherent noise and coherent noise, -there are additional sources of errors to deal with when coherent noise is acting on the CNOT gate. These can be reduced or tailored to be close to how the incohrent noise PTM appears through Pauli Twirling. +there are additional sources of errors to deal with when coherent noise is acting on the CNOT gate. These can be reduced or tailored to be close to how the incoherent noise PTM appears through Pauli Twirling. ```{code-cell} ipython3 from mitiq.pt import generate_pauli_twirl_variants @@ -221,7 +221,7 @@ from mitiq.pt import generate_pauli_twirl_variants NUM_TWIRLED_VARIANTS = 3 twirled_circuits = generate_pauli_twirl_variants( circuit, num_circuits=NUM_TWIRLED_VARIANTS) -print("Example ideal twirled circuit", twirled_circuits[0], sep="\n") +print("Example ideal twirled circuit", twirled_circuits[-1], sep="\n") ``` Now, lets add coherent noise to the CNOT gate in each twirled circuit. ```{code-cell} ipython3 @@ -232,7 +232,7 @@ for circ in twirled_circuits: split_circuit = Circuit(circ[0], circ[1], Ry(rads=np.pi/12)(q0), Ry(rads=np.pi/12)(q1), circ[-1]) noisy_twirled_circuits.append(split_circuit) -print("Example noisy twirled circuit", noisy_twirled_circuits[0], sep="\n") +print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. From 5e5934644782beeae24d5f1c04469d8244c304d5 Mon Sep 17 00:00:00 2001 From: Purva Thakre <66048318+purva-thakre@users.noreply.github.com> Date: Wed, 15 Jan 2025 19:37:05 -0600 Subject: [PATCH 08/25] Apply suggestions from code review Co-authored-by: nate stemen --- docs/source/examples/pt_zne.md | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index fafd737e4..a4a8fff1d 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -11,12 +11,12 @@ kernelspec: name: python3 --- -```{tags} cirq, zne, pt, basic +```{tags} cirq, zne, pt, intermediate ``` # Zero-Noise Extrapolation with Pauli Twirling This tutorial explores how noise tailoring can improve the effectiveness of quantum error mitigation techniques. -Specifically, we analyze how converting coherent noise into incoherent noise through Pauli Twirling impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). +Specifically, we analyze how converting coherent noise into incoherent noise through Pauli Twirling (PT) impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). In this tutorial, we will: @@ -26,7 +26,7 @@ In this tutorial, we will: 1. on its own, and 2. in combination with [Pauli Twirling](../guide/pt.md) -By the end of the example, you will understand when and how noise tailoring can enhance quantum error mitigation. +By the end of the example, you will understand when and how noise tailoring can enhance ZNE. ## Coherent noise vs. Incoherent noise @@ -65,7 +65,6 @@ Thus, the depolarizing channel can be redescribed using Paulis as shown below. Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the corresponding Kraus operators. ```{math} - \Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger ``` If $P_i$ and $P_j$ are $n$-qubit Paulis, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, @@ -104,7 +103,7 @@ pauli_unitary_list = [ def n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Get a list of n-qubit Pauli unitaries.""" - if not num_qubits >= 1: + if num_qubits < 1: raise ValueError("Invalid number of qubits provided.") # get the n-qubit paulis from the Pauli group @@ -383,7 +382,7 @@ expectation values, the closer the curve is to `0.0` on the Y-axis, the techniqu ```{warning} You can get better results if you control the number of samples in `noise_strength` in addition to using a higher number for -`NUM_TWIRLED_VARIANTS`. We have chosen to not do so as this drastically increase the execution time for this tutorial. +`NUM_TWIRLED_VARIANTS`. We have chosen to not do so to reduce execution time for this tutorial. ``` ## Conclusion From d0d4b2cc739f0bbf532a25a07f063770d2c3a900 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Wed, 15 Jan 2025 22:11:32 -0600 Subject: [PATCH 09/25] check build: set heatmap bounds and y axis label --- docs/source/examples/pt_zne.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index a4a8fff1d..1446b9b63 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -186,7 +186,7 @@ print(circuit) ``` ```{code-cell} ipython3 ptmcnot = ptm_matrix(circuit, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) print("Ideal CNOT PTM") plt.show() ``` @@ -196,7 +196,7 @@ noisy_circuit_incoherent = circuit.with_noise(depolarize(p=0.3)) print(noisy_circuit_incoherent) ptmcnot = ptm_matrix(noisy_circuit_incoherent, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) print("\n Pauli Transfer Matrix of noisy CNOT (incoherent)") plt.show() ``` @@ -206,7 +206,7 @@ noisy_circuit_coherent = circuit.with_noise(Ry(rads=np.pi/12)) print(noisy_circuit_coherent) ptmcnot = ptm_matrix(noisy_circuit_coherent, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) print("Pauli Transfer Matrix of noisy CNOT (coherent)") plt.show() ``` @@ -370,7 +370,7 @@ plt.plot(noise_strength, error_with_twirling,"", label=r"|Ideal - Twirling|", co plt.plot(noise_strength, error_with_twirling_and_zne, "", label=r"|Ideal - (ZNE + Twirling)|", color="#2ca02c") plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2} \times \text{noise_strength})$") -plt.ylabel("Expectation Values Difference") +plt.ylabel("Absolute Error") plt.title("Comparison of expectation values with ideal as a function of noise strength") plt.legend() plt.show() From ac50eb81dc3701451a2a6939ec3ad5f3eeb3404b Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Thu, 23 Jan 2025 12:20:59 -0600 Subject: [PATCH 10/25] nate's suggestions to code, update thumbnail image --- docs/source/_thumbnails/pt_zne.png | Bin 73305 -> 71276 bytes docs/source/examples/pt_zne.md | 23 +++++++++-------------- 2 files changed, 9 insertions(+), 14 deletions(-) diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png index 8d0e742c2a45aa77e699fd593f1f318b35ff531c..6f71364865aa3f9d818cc31f8233392733382f77 100644 GIT binary patch literal 71276 zcmb@tg;$jC7d<+P(h|}g(jC$zCDPqpqI7pD-3rnT(hbtx(k0#9-F=_=e1E_D58S(! zvt+$9^S)1Gpc+D7FY<-*zCvC=Ad+IjDy}I9i!PoqllX0?`q5O29%JG-*}s~( zXh`#eS4{GeUsE$(6z(|r(vTyfC{r7!ECx1m%c*D z9-b=Im6nk~Hm}BKW@h#Xn)of7${QOT4DS)7Xoi4*K!b@W_;4cX5u{{eZl5l5-*VbR zP|Z7??(-BPlDRS>^xU-8qOR+N1zxHp!^Vu-DV^BPhjZP&FJNq)oWwH~%6*=_J%Utn zz%6s-Qq7N9nCJxs(|*2_Sliu&-lFlirE0cb-+h-76ER?DczQfx$*1LRuZWkVNUd+R zKsm4OxaB@LG_<3y4*?Yw6&8i?@4QW`teu@*s$Vp|o{kQoa-JL|FK?1+k=p5!$MG!R zZ`fMP*-BnYfxf;z=qw|y{3I)vz)%+$T2`uGX_dsyTQ^1&7c*cp>kZCTTY%fvYV$uo z-7_;cU%chv;c*VjWXhFE?8p=ia@~wo*JyNRY<9n_bou0by;oE=_g=EJXhiTnymraG z$WWf#e5aSh2XlCMxMN^In*Z$YyS3))B@F2}26PN688q{1t-%D=?A#zr`_Qnk0JWlO z7hI=G&s+N!!8bRq9zjOzM10PeqCqGnmxnHgbCi&Z&qGO4)3LF!A<@y%b8yq2Qg|G4 z=k8}z@Q`5@b#xdUc~jlyMNtJP3f=G77oP)=aHjTj+?(|4OG^0u=% zEbSr#oeySMUj&1dndQR-@r8uLgz3xeuqBhTFC`@(7JqJ0 ztp%Q88SkJUSyWV%z-AiS+*v-iGnOsx>gt+vs9j@;?yJ%2?Ug#Rst_Y~HkimRlfd%r zE3q*EoW07yA4gI-EV{x)2 zqOhUE7Vx;j1S7}-!D2KJ$0!0%*79^`F;<{Vy}GkQ<9@M2c6GF9VRuifoC~k6u5P#Y zkCxSb7HjH z!4VNyC@3gvAVfLzuh+tuldgvb1~8%o@ABcnXu$Ap?(f6U-+c@Q1JWQoA7F096mY*l z14HYWo>pJ5>m?#*Wv%GHk4{LS>4_ww*U{AtNKa39T??UR&=O=a+a1p#=j2rT@*W=@ z6O)42^F;V(YO2-gGc1EQ-BNlXA)m9%g8cwv$NaoDH!p8!nt(^>8v@RRGI?29EN^db zqn*)A?B{b3deE6!w>~sM>2wwMlGYW7Ihu7N`(X5h4%Q#thFtj;(2{5h05%~iy4 z@1JB{Lj$6Vi;LZ1^>pat{dIDb)!j$u-Kc^9tNvfKu`PXAn3%zuRi8t^T{FkNh&4JN zc69_G(F;(^j#S&UKB_q$%qT)*Ha_tmk5c7#6NuSt-D_G5LZ)+>-Gjuc>7Kw60@bHWvka` z?$6iw=GG{or@E8V(~6ttp%flv$l77;a?MRE#AvqCRCOs2#DmJMhS~yjnJ^|QQc_aHj+dId^?e>yH=ifxw(s{Qi@GP(^%)-?9|JyS zqZ9EuvMeu$7F+TBxpJ*`TkuC)1IULlt?$zekBA73TQPC*ka~x0y;Fgb!rp#IpJFe) zsS8#C=Yxd0!T;rYBW=BXf$7AwY6Uq+FUr5H`ik_w4F>F80!6asm^M<@?mv%mlg!1ICP^9W~&&l z3i`I&a^zCD$*fy$KcnN~(m+@I)2CouA@8QYeSPR6!E_|@6UJXcumAphXSCK80>wzj z{iz|(0}wt*$5pkpwb0LUyBwu--^!-DNJJ8%gHjS}>+Fo(-rjE1{{3~Vk?f~WXvRI^ z=uAvZ9m~u5{8ux^M(aHh*vGU`+`O_Yj@tey84=z2;|Cf#7MAJdQ!dUGbRpuHbm^$% z(-ny=3=LMG5RgN67pzOSuFE229D^pgb=@lLi{R~apQSaO%*@QSb~qADDBy=-Grsk@ zyFmYtgF{cs>$pP-HoqG{N7s0cba#u_{ou5!OfHpd62*J`hy)IcIM?UL>+bKbk-8FC zjk~DRJ&l&khLSj5qBVP5V~61|V~_BkheKBaq$74n@@@+>9~Qi>7maSuHrL{`tt)QI z8wn?3+`59%*A`utvDnRqG3jEZE{+!G7Zy)JAcrPfH%LODA2$Mlv)1+vW|H{)WVN$n zVnVsArzi9^5_T}9bX+i*Xdrxm2wBVR7Qwmq{&ZRGO~%yzrO`^;H*yvh1rrmKglhs` z$9#Ac6zmr-UKni+Ca$HrETQ|szIp3=v*L$3c)xq;?ojzWV;mI{ORpZ9$Zm!R2M5RM ze4r7A3$5)hf?vSE27_W1TD$D6EtB+KlK=5yV(Xp|AD_<1$fygH;cn=wto4b`pT&Dc zTtXtuEY0m>u};0xU@D)wzrR1cyuAF+U%x2)S*QpdwuiC)OY5OtZl}Fpw{}H0A1zpL zyUGna{Y5g-Ci3KQp!)$08ei9gie3gIII-zc-T$^807O=ZBj%cw~T50Vb3vxFzqpx!#6 zra3`t5qN0$+ua}5hC$bVb09tp@E=*oS|4?K)4}1>7Nx;70d43$@L&E@&H^jHwNEXVLIZ(t4%=*Lw@{I7>cVQ2pVVSkO}g6p5r| zQ9X}C4s<*`S^yy3SBLXM70h}~8W1RCKqGexHmdL+1(k)+GLtL{Dv6+_+`nb-d#ehg zZp71#82L~TzX{g`efw)lIXOAxY-~!e;NZgC&bLCq;^_mHA^}oDn}UJ@o-7<84T^vK zuI0C<58z$KwFpqMje8@p04ut(aVpQ%98b#uDjU1>V-U-3^**U!1PylX;2 zLi(?oYt&dKLQxdb1&F2PQW;nV0N@B_W@e{@>?6To%cVi+NH`wOO|A)S0+`2IY;eK= z6?n^4Hp*BxT>?upm2hio3vneBHLwqq-PfeK^6AzUk6>3YeQ(yIga+qjN_cbO#Nf$5 zZKZ&$9vm=j~J5wi`*v~ZTpzucnDULnz)#BJ# zH@dS#yB6_-C&*^(`^1*pq#7TPA1~2BVQV<>YE;qEO6rdPosvSBsY2InRl7*_5(Z}I zUI3aPjNz(_dGrxH7nhgSUk(?_4gDZps6r36v$)K%D6(ab){6}xW%j0o!0ZslL)oW6HxHj z#OfLwwLQ1s4Q~bQ>sf=qu0;u4B|sR6CmtR=p;yO)Qze~08W2Aq85haN3i}eYEQ|~Lw&!#DGHErN7q%5-^>E_nYHjpmM^dH1 z;*Me-cZFau)=+~4iIt+%bKArUI|MS~Enu?P^Pnn|_&ij&X@C7%@MW?vwr(>{dvJcq z^L$7uJ-)lUo1BU&S83QGhc&3$i&)j<(sHw@i664CxL7jx3`!)d!Bnv(_B>#)2)HzA>)&OF_cThf*)YN(aVHuiFO-&t& z2Xv-yXvp+rrTt*Bv3C445QRv}(((Z7sKD+4uw=eZa&o0-cYwgg#Kraap$dLsCH@MM zqN}S*g-7oE>HfI(#shp=b!j`4(`HFVQxgv?D6W+0ttg*y4>CVLzc~l-dwTjXp{E-^ zK;2WpGPAL<{r&rwl$||BG5aGr35mRtQncGMD3&X`yM2IN^q-FijQ~Q>JyT&!Pc+@$ z{_Xy#apa-)WA+XHnO19|%<8a!aN~|Rk^h^NSht2!p2DUjWUaQqx0A#+7 z!w?5{l=?`TfSrQ_yO3V)sT`Q{JFSwbz4iP1dkhSWPQYMaw+THz_(|og2|eGU78De8 z_4dM)JMF8%zQI??i^f~;jq07BpMSVsY4`h9xa`8zdoc%U+Wpv<_gjZRUv*DROc?1~ zq#qmH3dSWTOMmG+-MEm#2%9;kq9u-P~`IIIJaPf14h4a`pKK*(zDeb{yg#|U4u z-UuKM{dIQhKnJqfpdum~jsKQ>c)VWT8abY;QW;Q>5=~ltRV|7@`CsMAvSBZ`DAE~)x26Lh`k8DR|PZ_iotOMMhvifNH$}AK$!Dqf)^iS3}4ji)j>=DJJ$?z}k1G%SeDIyt%nqIX)ga z+Z-tJ6paWEZyH~GwQ@PFzYR#7e?Y)ko;-;jpjTmV?T-5MAftC{SXo(PpKzdGy}#GC zJiodsbxdbgU37bo|3*0qg_0 zxwgF>)Y>Wp^kDHM93w7C*viU^lzuKq0E3p6Ea~)TgGJ+`?d@JL_*)RfL-RnE1o`>F za4maQxoL|o^h$U4_Qrsa`S9UGPH%BWM%#ny8zSCc+Sc^}JPunc;Hx0pfMR?D%Dg&% zF9^Wd1}Az0nU@}yd*Wq!%|OQ)?oX9$Y;M}Ew7ob_Hnh^cb4`d2r57NMXA>CyuQ-*e z711~AYuLTfeb)EMmFj2NALtB6g$KSio>Dd;U)kfn?M5H+}^U9|Dyr2MQeR~A*cR> zrzgJ%{9KKdHf9ee;BltHKN2T%tmpk&)FI!#Y<5APjS2_)$KmKVIGfEF_Qbm{aaAdy~% z%LAD0(i#Z|OayR&MDZ|eRkz0+eM0knpno?(oNXU99&c^N>-Y5b!sRIS0T!!vSUY>C z7QcP#kARWDX@!4(eVnIVYYkl%Kq&|T|2-FUs*gep$m-|5aBuEjhV}dA>kAPCnt?9L z_^!j4ZoI+k-r4(R6%LT2E`X&&fOhu*;s|i9h%-*u54OU5l1?sNa0rAL9=|IKs4CEl z0L8xh`LW_6JISH!pL_LcO$jc`r}B1#hztn{F$Am?WEJotps=gi zu#gA>u1f1g-oQ5mJpiIY!M2=lw?W4XVraJ95T^C%jy{V24E}t3#0&^j|G+>kA~SJV zzZU@_?aZwYN}JEygp;kGVI#=`p|MT zL`hj0RQ`f%@?5ZFKnEqa%0d7Qd)d}x-wl8jI&83Ml{7r%z-Q!57owpFh9mL(0e$`X z^B(wM?et|$9Zu7_W-VpCQ6yYk0m+0wpf5e)V2vnOsAd%xhXa+#V$>CkPcq?1SgmC> zdB|nG@b~_>bwpWSpgS+!8+bd)AWbE5&R&C|#7e!?xpM`2&H-d(AS#LXEHfT3lfZ~0 zi3Ox;trrUy%NmS5FDKP?ye=m_Puk(I=K-KHye&?0WDE!js&YI3e0F}$sD&!4`{nZX zfrQJN5K5csEp7p60or8Vhy+kNRp5FQ9Yogs5hn#+@K7=rJMb%tS~M>Ar=z?d?@s&a z%T8v^(t*F`asm*K1;})B8)KxR?Y;8QWzh=+tawM}ooO*lg^E?0w?*NeXniWQ` z&$otP%%8l`Kyadc|NHk-SV}e%@H}|jFK9&I!(8Rk_%*-kYd85!ehK)Mm*$QLY)&9K z@bM~P*0Eo|D zcvi`L`joG1>e#HOUl77eO6t3^V&LE+4PY1^9^Rlk6boCIrS;(qsW+0SsP?%#82ue! zwfIOwswJA(~-6Ljvcd-lLGDuzDD;B7< zbl`}b0qM01S$MazLkifvfF+0^D;kNaKI?zU~;Q2&=fB-jF zXBU?@b@;(&V0gF`GmN&NRSCz`#Ds#3jEq6A2^Rzr*sK@EY|(rG8MnXyz-G2obrlzJ3;N!*mtxHX%CcrRBWHUvCN~d~lLlEPh z7h@9P1YD6tWi1VQ$H4%-2)L|G0K!}x&d2L}-~NZMpo&c`q;j}le8Fba>Z+dB8~805 z^GRCT7?|aMzD@-C!J$s=HQnCc0%Wz{FR2}`woqSKSeR*YV+Vq74NT=#c!@OiIk zxt-(kITwr5OWNA9fI*M~ZVM2p0#uBvL<7P7^8n0}>mbS4(S2L{uH(m}6)9W-D5nR5W_1)-4!Ov7a0 z*~NlBO0elboZW;h7djD1GkYK=27xCo48mr}_$w%7--?RpfmLMy zbbva4;4aeNcTxNuAVd`kR6yHmHMF*fwpwcltUt8H2+SN@=%|5PRIFK*JN~=`Onl&4 z162byGZ2WosPErj0)zn_g%7d%E2Uj?P!UhSVgOlMT9Qd*3y>godj%>surc=+ay}oP zS5hsxZ4&{}Bo;+10PR79gogtl_y!iYugNlZxBeU~0;^%iD=<&sR2EdSoPjFT2{iLC zsK32nu-~JiP)WQl(9MQZR`<(VOW%JhtpTFA7xYGYGKBqHL9w*6wKV{E_$w~%46wH8 z0iHtT_>o$`QO-cMX9Xz%RtK0k#$Y2r^e0iDYTP&E_X9!S4klU;8Vg^hONn?>BY_W- zrBv{rw!gnTn2iAy6k2@%SpuVeFYjF<<>>ex1g`Pb!7MP+Sb(JnVgitIWMITGg2^!h zVrUZa6a{KC3GiMGfd#~Wx0C(q_3Kl>k&>uyRV*0+Tc!r|+!#<#V8{`0ad83Jq?~=O z`*ZRloA*zGNt z3I$>^s>-KDbl-_U_d(C|v|DPE4_aKt0BeSJ_Mql+5{E@0!=UD5J-wb8ovE^x7Twc% z`g3rpZevnd6iBt|{v>}eEDYcu;6z47g5KVCrFc2Bs%rS8Ca}DMLqgC&8}}6~Y$zPD zYg^WlQun&1a{otoW3uVK80s((6A0B>jG(pB^@eMK6bkEPVs4tjp_^a*S+GId4;4qZ z(U~JYzn~D_8QMq1w-Uh}pkUA_{{S`gfo?*yv9TGeGLvUD8z%gjoNQ5X3^m!F^}%IU z#~p=J07Qvp^1xw*b~BHTj<8L|K>xN2L!O@uG$;LmJA%t?n=u2X9Gk-i1g-&7C`vr@ z_tf-sW@4WQJ9I)qhJWVOU*>BLO~VZI3k$zDO!k4UB%rA;%k#^=8XbBSTi-T;4eZk4 zuLC^XXd+iub;*n@+*Au725m}eYCvOSPatMM4ik;ZW#+k>_!Kv`3#t1z;nC9sH8kMBJMrw`B{ z?=IPKAl_g+gPZ+KkNUcM_R`-q&zp*Ojooif451K#08TWlZfsCMt*!#SBLIsG(Eb+? z+czY-rSLVou7Cv=)WBcmTvt#HXdW##sspf+0`3a}4i1hTprqQrf*Qx4*OWLS`jSR! zrG+Vk-01I*8%|QEgf`Wo;fVf~M zbJ^6)Ff%d9fim6oKuVf&{!{-Okn67vO4VuoE2!2$vGb3QkN52tFW*1oXH$e93;wu1 zH4enZEqF2w4NbWVO*9siWC2ghoWK6Rvmsj1z%UI1Cl^w>y2QY$SUNA=eVvH=-x(3} zlDfK?wd3gMw}6&Og3gy!60XRb-v4{lXxZ2> z0mx!i)A9Yk!8pD1ClwM(2Tp=}5%X+H-$prXbW99^BOdvG^S~dzJ>M?TQ?93s=`(zj zF!fge)Hy#UiT}Q<^a#TI9RtIlQHe)^I~z~&3uX1nprD}t9iJ%(`6=2_{Elzw|I1mL z|344sOpdqw@me^YAUcp-G(J|KC|LUYzwLujsfglr;}!GQz4b*AB!Xzz*}fKm_Xwnv zycGGr?;js|#EV#wrF!yJoF&E9ao3^6WA#42eKtEDr6?Fqa~u%P#KgSGjs?q|0S4F3Hlq z4iFlkIlIG{TmAyZv^!T#4?={Tk+EcM9-yM_YRBvI5pZzB3bz8>?cYBHGL3SF7cbj) z^2Z#Jc3|5!B4g~FZMQycp+Cvp&9?|kDG_nZZrB3J4i4D(eVxb!9shw)EPCLl8v-Pm zT>6-)Fj}Zee=cuekn!dnG_;c%A`l2><7-gO;LM2kPZQi4qhe6k=cC|E_A~!oaDdnX z@)p>(K;FWia{{XZXcj1{R@c(g(2(-;r<9ko0K0hroL*w`NCWck?Cgxe8{GJJT!DuA zU~=Q~tCcjl>(Tz|*zQYZUb%L~&A;v8ewK|2k7hq9IGjn8(iLo=VD!#>k*pWP_->I0oL#fx*zLmu>)_S$f76h}2QBq`(Nu53H1hbO0cDC097KR=GhjIZB8DBDtSXAkoZjaF6dKSkFPM*X0Hipa zJe00aq&t{t6i#H)%}Nt67Z-P}TX;{g8kL+Y_)NK)wJr-Ckj3Z7qmiN|={^}r^rLX5 z&WdT-xjCVbP?LNNjM`}UyT5}yT5_i*)QsZTy(5Lx$Jn>wX$NZ-sw_$KiJXl28@rns zce+p7TQ3CaN_kuId$HIcI~5*$4DooiR}HXhnWrBz6*9y^lnUNIscAfYQNdr}ICA~M zZ#!MLUU2$e-+8(&Td8n#_e`;1!DQ{LnJgR6D{w>sTRB%I69`kN7Kav$jt&tZ6F@Td z#Q^4S`1EiK0qyyC;IKd&*!K4J8g;g0z&tSp`u(bj0PNGy(sf?T_O!pgTjn#;tGZV+ ze1!Xyhr&Mg>`2i*FITW@zZju-tGfvWyj}2XE8=ji&W$yr;i|3=VV3vo>-VECkwak* zW9LcpT1a_CwMqR`<%gJ&Fu5kBX6%)Vi|uEB7wS@{h~H5ictI%)Hy%8gxuSNQU&4gd zk>}oy#`@O4BlEW1tR8!u<|UuX`SxJ_W7_#AN5RwZBSS4FL(TpL4DHUKP~r~lWV}7+ zF@xFpUKvG7Si5gfdt1qpXx;Hv?4`3#!4`losAV%gG2sRpHlHLVGXYDoT&Nr4m)u;a zcc6*gTu!O1s!C)vh6N{-z_EY{z~-Qxbt7ZrLnj<4^fdd#Ja69mr1g>_4=!@Xy971Q z-)ILg5&ANgb%aD%+B$3|v@##L!=RGfVj%nI++HD4Uc17cN5n@T;?z_<$M^1H&k+4% z!YNaSAf6u+da=^SJon;!ogYK+st$7Ef){b*o%$O7hNcx67t;VDg@t(bOX^HT z>MU03>{rjSIF3+J7?a*q++X~zt6a27+?YuKc_$Ya6kJ?5fY^Ejy#tVxpE|-f;-60S zLtRY|)^c?;K!?Dtgebcq{8#76wrB7?y02$WC_zVOpGdEd&K%n;Pt)G~ZuO6NWS;GC zp*tmr-o^PUfeRNbHdYlmNAviQ6gYEwYHL=V2X{+n{2fyR?gZD9IxinonIEyD003$4NmGCIZpZsXvbgbc(BDzh}8iL zx96!TgFKQr&rBC62Sac{LT$Z$LC3vbQF+;B5mAY13H=1~TWoBWxbNl`Ju5a#h<|tE z#dKsZ>n>#Y4%eP0r8B2fJ&5^ByjotkiEuL2M}{@7wI1df&O0<4Ty+_HcOx^KGz?1# z|BbjEHOrSWR7VM`C$8hF$q*6)C`>Sarf7%LIs~8cv||XwXQ}+kd#mLK^ID6!-yc{=E%oRsaMMH@Dk6`g(51gE5N82z)I#1Zb|w-0Vl^1N0F;`He?EA!Y7 zb2<-;*q&K!?frBZc&8_=uWfhe2TP2JYyykYR^z`)?Cg*8IgT=k!)>#JB5M>Te9g&1ftb1m8erFzMsUTHumcwpvp@ND?uifIqGl0S%TB2~8*`CgX!1rQi zJKxa0ykcSI{xEl}c3;JqUPJXvdF5}d?H2*^uc*(L=c^trT<4SOSlFj>TClNm!fd!XVGSU))jLf-Q6-tT~IDe>=G02-)fXR;~>-{ zgfFsS`>~7;wG!M>5(Pxu|7gmyEwZl0Jk?vcc>0UNt4;#fR zl!JMXB9--^6LRJ9u45zsUSFO3Q77cYp?g5G+-3RI**WU!(bCT}fflhG`wjz|>_6{Q z$15?Vq?H-HRivn2YA*)Ys_SEN%K2|@yA1sWbbKR5I+|kl%v6T^wUJJmWO zVgy3658S6HRA%M zk-=#4TGGN|%i-cDcHaA3+)0m?y{q(fq^$)rpKA+YWkf=$jVY4m!N+ z%1NHw8qe%RJ*pTBNo=T|ARTQn&Ci`g6)ryu=uIXwRR`st{JhsWS90rTvS?mm{>F>x z9uHfelVSH8if4T)f$(>>wKm^6YWc-IKO75D;80D>HFF@rGUq!O!LwA&%M5R&QTEe^ z!Ziwf3f6w4R1!DkjilPPqoIu#m8>U}>)$lddZEezTd0bd^|-i$wjnG-?=q+V@O5)l zB^z&}uTLM4Zubw8y^%H?cU=mFJhS#1FlWgU=RcAgqx}6%#l(faHEM@9cmDjH+h^eW z3&z%-{opxeA%$HA9)&`&B)81g#BC%`(FGR?B}t0waeaY=zhP5R1(8z!Pjhm@FK+Hf z>J4fFZCt)(#8m6mrnzq+Lb4RK@8b!wZA_Nh+yGCNa->{1dt^)*5bEtp2;rZxU$|4snslJxiSi5KA(VPg<(D^JB=_oZfiUFFRfZ_N zi_!OmT`<94=>+&e4NluzTSsOiOCj)zA07Ys1P9l(%Jo)Z-QMc5S8ghp+r1qwC4F~} ziWnw0o_CGP&0VK^`!SkAcG3eiZzdcJnzKP0?c{1(P_cyFE80-l%?v};ocQ(Rk~ z&j)XuVD-Da+7t3w9j}gc@)~PaH(&*Mt`Hz)DDIO-A(?33Hx}Mrr44;vt|z=o8`%0{ zPi%VEA0zg1foPX-O)?Kno;S#KoabN6hp4;sTWzhl_RLOHGBLcTr*{abtz}CiWE?2q z=O0>_WUuP$Jzmf-3HF9yI0Q%NY7`mA#^u`G{55vbW6b#^##uclox3CnRaPkJ%O^bMIkD`a%y!)C zEDp7JX7bC+m)?OvsAZFOds#AOD+)>|9>brju8UdmWCoZ^{-l=`1zH>GIifTtzz4d% z9fgFf6h04Ob=b(FxL56i44vkK2D9(-lV=GQNK060~DD`kCARYAeV; z!tU+1M67F&OPV1HDe!!L-3;& zX8i7~i(oQQUe$~nRaoevZtvDw=tvZI@GS9j;$S)Rc{V|c@row4U1=|1p~ z=K72x3J#??BkqT4R@x@pjL)@Bs4WS|D1Lv7+9szxRplg6&TB?s3_fn-g@@y6W{WN_ zTz&TDe|*=d>~el~6|c!^^x7xwIfn8+9&)nW@|>gnq1N2yczvT2Lm+)6z(?O;_Q~|W zZ}t&uHOFcC43n48M0^_gw1t|sY)}n*F8$|#CwXX?UGsoDrn|k1@Q?dIoR+@&n`ZKG zNrUUDB}bIgE=}cY1Xicmq`P<9!#QfzRwUpy@WC5iKa@KhcY}l(iX+`4RuY z;(99oJlbFyuH1$Z(~Q8y*7mzxtw{PV+Gxeu3nr^rC0>=rx4m=57PRA7=<67rgGcNZ zghk*NN!?G(_5;_oCpKrTAOQaHAK7@`pDv6a#nBTR>m=KG`s{f)=N)}sx^iP6Xc^p# ztDbgl=>g77UBRO3{a)>WnZPtm$x_?XIge$;$jb4JBMQY7^8#xc>dNe_P0#V93rWDVhOcF$7b9c6W9<#Udt z;<6z@K#&d&bw8-AZM9w1eml$rLz??oL>T6Q4@oVBMC2wJwM3hULZQZ@QLmE(j>^>3 zR@?hU8mwOhi{tU`=ws;~lKk`sJx$_tqI+cD`-TPeee7DG#E*{Mg^mwAf@0y+Uyibu zQ_Ekw%@xkmVm`8)3+VAmnG&M1^rpNS-WmbRkVf}ueH`~eS8iCCLeZf0IoYVZ1Y&SSWmg{76VJ#wycZ*B3O z=FcR!+fUMrfnVb)!=wrR?VZj3DtX!aBep&kiB{iXtR^=AKTad9&q*PW*@ zO2SeOA3wE%1u*x~-HkfYzF~jgm-iWmt z)nYq^aq5mBVXFuPL(3m<{d8)$Uo8<4*Cl0VKS=GNf>ZoSwMCOHuV9xx?3a6teldSa z_#_)IgOY=t?b&1)B{f}bas85~zLAzmP+Dif!Ex`R^tMyEXlT8y-DAwW%Fg9jtapZM zaQ{0mcb%eIT%cUMO(P$v(vGtTl!Pxnv~^^ zxO45Do%x@A6)|{ttZ##~{=j+xzv$NVR?O|Ao$S8F9_0hg2+h`;B=!Ay3l)55{JYpR zBwtcbtsk$A3?uQ)rZ&tsMTPkx0ZXHEhSPW#Z)T$Kca2z)+5N6ejgAaFMpYPNsSUw9MSd zW~#>J!HE%-FH4Ipb+EO~2Jtb|yv;d2?gM^)bomNy*}I}93Pe?*hl4VEM@UJwe$fxCzBbd4AuaJDa8b8Y z?eAxs@iAzqU;8eS*)#1z1HyV`n`>cBK+Zf7bPB5B-Mwht+){6029Lg{APBv3pt@dK(vVD~E)2C5(5tUT?; z-Y-TCudO*8%nQY?tySeu3W|vf$QiUbVT)Q(6zmFiQWn4h<^i~wc{S?rF#6=tbi*Yw zTUAYTYBM+xOr0_L`6VK+la7C*$7Ur-VVLxBpS5WpQ>3-;F>~CHU7;9Pn-TLEQ4C=F zK{0tLa%pg$HLCWiMSP?!&GBsCv3mmRYuL@s-)^@FRO>geoo zN^6^^;V;u`N8|gtH37SCprwxqx1YJc%6l&iJ*@$lf&Y`cw_&wAgpK;IqfzTLEr_heX^oTs>& zBzC5CrVfddSM$Of?Ewaw%{)<@nR1~-0kbN`(tXUe_G%(+JF7gkKL}s+=zUF09|zh+ zQ8T7-R<@?TS?j8=@8B97m;e4K1?7J~9PDx{%{X-Xv3PiD$ZI-9A_={|XQ*+FHC%?9 zUvoIo53mL)rBWUS491`>z<6dCG4j7@o3%RWPVLz|=3PSOYI=?M8Zg+GIyIZ4Vwnmj zf2Yv9yQW;iz57_Lp9b_vF;68dOC(3}A#cx>f zk3eVh5Tn1LpsdY928WWe&&J;|YIKpXcy;{-XHDAp))*#fFxV=y;zd&#lp+EfS6ZRg zB0M%%9K`NTxcTIU*v$md0=Z$Upr{_-mcg6aDlY#kre}m*1Ua1jE6U@b5oL?EN9eN5w|b{JWt~b-q8VujykXP+QyD-0#&I`J5EKhWuT} z4;O3P*^}Y)=N}lS z=Mdo!ZI_PWUNAZ1W1uWYqyS9*T$aCstYw8Qm17*c4qN1q(}fmZl_DI;^J|Zk??p>p zX9BK!ps-eWS)dB+FK zi4q?C{mC9n8<)Ce6O0)IhfVXE2g-%ark9zM5Se3sqUu7s8hk`D?jH#Q@r@(r6YWSF z*cL<6;&=6IHQFp(&TpvtTc6_ks;bv}^~w3n;H<4#>l$6&Kh-&jm6YmS-2dC<;`VTU z4av-O87nP9&n`yW!ilNqbn1@npS23X5i5 z?)H(;vcrGD^dj7Xy;RPnp3DUM*V$nUMazO$8b-lpSvSN*qQ~*gXUkdxpyfDkB`NU| zeWDXg7zFh+T)+SOcRV!B!&l8DkG;qjopgnP!-Pw{B_<&t?0N$u`}8DT^A7N%*`m5M zd#@PAAf=LBr*d!n-@V^F&}6jWlEN6h$pj*Vydp4U{>pPug@iPQmjrgEF&}?!$!F@z zRLb0l6)v-#zpk~Tx<)QLa-G!qp;a_}_GGvo?Ro9k02fi{-D)ryCug%#cH`Kx5c_w_ zxL}7V@|~ljg1y%^sr4bAR4a|XimXAvTPT5BTi=EmrL$!yEw%bPAS41HMM`Q|S;szd zE!yFC&a+WVgh(biAf}*RnU|I4P(kyxO1*_ms?1%ehR}g#axQn)b`KD8&YG9*uhd)1 zJV+hu+HaI2ZVp@_bFS0;JgXpn zQo7|v1Vj_TfNq)EGJG9I!^FAVM)a?JP5x)OtpI%Kyn`~lp*4@?zSAZf=j85UA=kA_eYz=J+$m5_yDJmlu2J!{ z-{d)^1jhJzQQ7Rg`Mw;LQ|WxKS<_>dQ0vi{Uti!sQ+tg{5OcL z%U=Q>@Bf|-F$MuCTKv-)xh3f{gU;e13hs?YGvU-f^O?D9j>y7>SXxC|)h5mx4(rD! zwMyv-@vJ=Ol+Y@_!>Rd2AHkrgXW5lrKOC9~0_joL`h2`)zHq+#K(2Xre^pvKUQweg zySGyFoFkc*{zc=ThN3*M?$4q#?q;gUJk{WBqa6e zpqSa}^l+tENIXQ3=z$K^(i;MbXiu%p%~avrk~9(&iYl-LC{$ZXwJr#k8>QZ>;k)?Z zF%6rsh9N??_#$6UFPjndm)oHeCWB5``#)|H^y0+Qw~q#bg0gwJ;n?uYU5;apAsGJXg{@qnLDfT4fxUu{Yjo8Y2dB*!zw4@H9%gDg7* zd(n7Os_Uo>?F4nd)W(W|{=4|_@F5yZy1AM}t7F^W*kaHSj0GB=tbg>&gRQgmBI!1e zxcMrjJC^}~87{-}ME&#Ml``xUwe^PMcJKJj++OXSPQAs(S)Ed#lN#wgg%eR$aIPut zd2)>h1)nT70f=y#+`^<#%4u`QiIc^w{vZEQ44*SBh=>T)>Yi3>R0)M{BorHq0QVk& zWqjJpuxF&W|jcj3zk25TISig$@#q-mcE3{Ny}(BiDs1(zu}6fp<9M6Gdr1ZP`7f!Qwh%{?WF&_;Uh@ipncEv7OuH`v@r=PaY zueGeG0PFJ)Trh<0X1-l>%qJxQ5Y`cD$q`Ds!Hpi4erZKbQ<(>9)?<|;9rE&ReaqoK z_toq**n#@>ET;u2${X=`=|Vn~PpU;5yLQGc-soK!RY#m!Q$`G>_my7_*yC}sI{k-zSLx?_YT)4p9|ibKVdLhNbYU= zXHS7TK3*0pgI6x7p`}*EjXFAvR(B(wNZZTz?b9YiFWJqbdv{WT6I8Op)RvSnEe~Yp4?nVcNih!rnW|( zE(f}1Gzcm++z~Nm-=A+kU3s}$t0M_S`5V4f%j*X-+xr{y1x$wa!^h(O&*YyC3$VQ`Y@ebH}Pxz$am2Td;xYSJ8C`p#LitcO^{Ll@hgKR z&w1g|-*ZxfXYKD44yd9U6|jnbOl*9IH2@ow8vy}1N<<;Ml+<8_i-lJ^VsHx9h3tg%zZXoolY`(A-i_4-gYmUoy1Lz%qM;Q9iejo;qkk#F@=>?s}U!$ zR`5F(9@HyC>D?nAr}3*90l9*lm{PNXnR4?4?%3%6KK@U<77fRfrVit+F*m_jt0rUV zrKmIO32fl8`TO-R|98L77oz(dKDxR?>QTyro9Bu>*ZUt>AW=}cT+k&y7kvDw<7yjFi~6^&}O6ZPiYj*Z54KjA45rODLwd`PtW=nYiJS%`&maT z&Z1+AuK7N3ry&Krqd>VH&cCR_bS%9*<xSQ{#9Fc(3fP z>u$b>xYL_)ZHCf?o5OMOd z*4KmQS+lK*-fwSiW05GQI6kcWS{o_o{AEdk-eZL|T+@3KwsgKgNema3O9EZ|TFn%4 z%{|qUT^Dxdyu>O0u(eQ>-T)``lkCnpZgX)|>o_}$*L*}0kCf8VKLlL$Qw@RHFi;h zVTe8SczP{o;+UFW(|%&)k>2Q!xzu8Tq|Y- zo?+3m#F2UXA$jYI{z0x8?2p%?79(k*HU9H)XTPkg!9)q3ip;_oY8{vS@AdtRul>u9 z^!FO(&L0}=6m_A)7KA5DhtNtMQIr59Wkw6brB7rHsJ$h_I^4v4{LW{XVDkoEywR-A zUDRq)%fm9dg2{EGr(mH~le5It6t`-&v{a;)&ll0{f1+TGOmKLQx^v@WKrt*BWw3SZ zazWchpZWJ3JZzLBkJY8P5>_Tw>iQ9WQO;S`*FpS(ixsYkPcKKZ#gQG2Ip%kIw?LP$6-B?rfn(sj;d$$(nXRm?o3^hclaEuHkMsFk98TSmA$<)pH#QsBnbN&C5KN^+ig8ntHcQ>+j>Pl2gc4gSF?skoVp0F>JwZ zITIUY4{ZzUa0>Ap=WLs)%j1h3JH(eTKy0YIXE#qz&F5;#`|RNiQl-IrL0DnS_A(+k z=xK0&7TozV;`zH>5!BNPFO3MsS0v=ziNJ?Y!(dmf04*)!{)+ec@G;%#Nwjn?6Q{p% z@`zA`Wl8w=UFxa8zZEzahZz#DUz05$kT}zmvOjJO`)7LEuHH8&hN4 zehFvi^p4gy^kA#*R_wo-oXx(vPVN)6Zs(!j4De>hu7v7@_^*uY)B^O+?_$m#dk0d+{jF>0hWAaU_PZf|>&+*ezHs=}+mqls5c zgN-LGP$j(a32u@zYh2zfdy#lIoKMsv^mt;MJC?N`7rPOm-GNON!ccSaAG+dvnLFIP z=z+^)X`6`;r(9qA&iDnHyv#gxEpVbF)~GirCqsYyK)u+{0JM~+N>S~uhb@Fe2>`VR z?6@VejG+KOVh)5}z`7U#5v4`HOMPIYbLpD%JMJPRldbzk?n9*Lk89q2!w4!*RpznrTlO_DDBfjFx78F}C(o^JJi!3lvVDRGAr5 z#}k^GB=^KPaf^A$_@*vgcQ2kqMV*U5HDILS40BUuAkJbjkk}3qVSv(R4)Te0b#-Ol z=R4L8*;BjqYf(apFD;=UBhMS5S%DT3SgrmCQag%D=JNYVE>P)w8Rm@w-!a_eWG8Ll-v(Z=xwm()Pv!9_jRFNRGk&Lc zY)oZJ^Xn{R3xZuWd*cyFG4ZZwH&@F{wnF(iqv9TmjdbK=E9Zv*5xgvm`TY83_EU%GWL`H z6WKrV5Oy(=uHREL2}=HHkSoS*s#68{e$P1QO16!@?)@n3VYJ|PZ_ei|0`8%q-~l6) zR`^8d!Gh@9;)@E8_ptHhWV2dlz;EzwPH$@y58nrbpWj_w8eS>D`I_=r^eO-(wRHW` zfdwCgf>RrUSY}kb`m^jTSy1xV!O!;fmZT*K_z#!y(ePU#54l{XXYV(-Ai%nO?0!6MM$R=n-9McCMpG*zQ18RNaWTgI- zyV3VJmd@t`j4hNWE+gYV0LL$l!lTnl|AjeV9tZFMn|}fz0)X$O>r*BKhTIQt3Zll+urKZiXzIW_k9!rr#QVieGg;?Tv(AuN!sAx9oa<_QPnyb%ye z1UpzKi0(-l8`FSP5sJ~tdM|)^ae_w#sA^l|1uq%~OUbL!~`>5vl~1VHt3TvOR}a>~`` zihegwUY~vWL9^!&t)wZpLfu8jj`#LbIp-(c6U$A<2De+h>e)`PbHVgqf#|^9)$vcj z8|lF2_y&VXfGGNOol~|KtPiB;RAvj>iq&1byfB>-A3M+@8d8AroW16a z(BE1O!y5hRw^|P+yb%pvW4rR8)$9+hBR@2K#){`c`GrDfgh0#{>Ae--hGZ`V zrK{~zXfzl6icr+?$9yR^*8}V*5QUw&lIQoP@uc#wZ3oCDdi{`GlK?#9c5pBCZIf3(W*dCqI42=(Y6_rNsX53 zXLP6Yh1l#ce@D^6iGc_!vUr`sR}fNmszCVIuO{K_PF0VG#h?{rUK&wnUJekht@lpV zeLKO$3jV4@vDDt9%dh}5115;x0|ojIZ2|2nA;01)BNcnfwfeK_QzLB!it0}rBXX== z>6fWY^^Sit{#|@G!8+#I`6&94-b6{!&F-sGy9h}Kyee#0)9W-5^Vc?HvT`@6E}LSI zOvwS8t6M|U%`bEXPT*#1=8=0~1PRQlo9xZ9x)%0{5D3C5{P`!oGkFv|wo5Yn&Mjld zIqBu`JGn234Y6}x9?PGUFDi~@upp+5XfGc&hUz}7&y};8SspH5g(X0~d`*^885z95 zm4T7cT-(#lq_s#m=T8w$c^mtT1ranx3cQ*Sj14Zc*%-e5=Jj-5r@go^#oXi(ymv)R zI#pI6lIDV$P;2mlqV~XXN5rABNmiuGx}b&73M$Q ztHIeqFGyXOv}6m)e~KI(Hg@;(y+F5gxa}SbxX2|(rWT<^+(hCRM*|OvQx5O#Y=LqM zC2t}Em4U}40QDUuEA-J9Aat_5gTMChS?*|oDlO*^JDQW=##y)}x6&9YPMmpahv(AV zOlys2E{HPh|G?)ps}Q6z!dHba&v4e$qhWeDqJu+&LoRTG8XU|x@&S44uX#?96pL&E z$Yu2&oIR799?yY~yxP^ysZe&#M;uwFQ)J)#arEw%XVEUAa$h5QL~V>dGco1(37kio zp%v~YcaN*vE=O;5XEJgkn+w&sW5=nCEegtM7PLXEmney$ z#!NQj?5X|GgvN{!8KYeC5kGnKCxix7{@<6)mTDg+7T`;Xk+0J?;oq7J@K`LA+5f+IrhXhX>=|JZdkmn^}iby(zxPwMn=f zD87NwX-k9T-NH7m)JA`ZP7V1E8w`AaTy~XRL3v45Hb#V3;fyQep-{qLv(4qVbi=Q; z;mL51i=T$EPM;%(GS_ymN|6wOuM3>YE`GloMOC#{=`6=gmppoYq1qY`8QAzbxZG6; zHMbn(*eVo9%jLu@V9jZQzFW{YG`1`r+rG) zJSa+@59g#JIz0!X3QRLLq&Axm$fvcYKiMQrRvGE^Qj^HX{3#a~@At?-pbdnCV)sf+ zY>e$1;}mNvEsb^6YPpHoOP=gI&)n{xI4Cp6RkdP##?Sd+dnk+BA; zW8nSPwbr<@@!>lDM&nKk5@Gj}Fj9`N*#a0tLVf}kvNv3*0 z3mT4>43_v57)U0lPbsL66csgS$zWehu>eUi{?cR4LIpKUCU2 zO7}PqXZ~TiychgugVQ0Nq3QSKD5A_RlTGHeu`tHt#c;5%XDmIMt<9hfb(K-2KzuAK z4G!VUNLD4Kg0Pc#$=i~Io#kbF1t>hioWB;OrJe|H#7FR~VQ%rsgzVeb%$L4ZDJYvR zBm7KWKE8YZ;D4?r-z5#^5X4GlAe_iKn-rE1*Oy2v)Tf z>zLUofu_2W3W~H|&Q zLCqS|TJAp*(+~oSw!B&iCqiJl)fIzijQJJLxbTK=Q|&V}%E;SL5s9WwrZ7G9PYvn< z3xiSWmmiu1c26wAe@rDfAC24-5T=V~V`l13@#Ie|A|!<5$lTi~HXdxiL_~ZJC|zse zZF-Lya~MKrO-#d$C#}}5I>L6v*Q^iot@jfoi9Br={N>!x8$!HK+Q%2K>h)XP1c8<9 zBkUj2@?=fz?DGLasYfW%(IT=+Lr`@Vz6Lk_$V!(l&7H8H7C65TC>t~m`^{;es zg}NVTa(l4u>KfHnynehi5b#@nc^%Wkcj9M4&+XO{s=>|5BZ;;zP^6}p(*g)3WVb5@7M@3v%=B%!d3koV1rmP>GhrWy^@tWx7KL>QNN5 zFCUrE!xs7lv317dpttvnQJ4>kVM2sOe^5l@IGDOw#kLMTNO?O6iYkfXV3SP-e6M+d z5K_IbJE^VtS3NV^XXxqwZtx5b6;YSFxXKmC-n-#;?j$n&0QLzbr8fnP5|37uTl%g~ z3z0rdU3hhL1u5= z{UurB-NExF2RBBHjAK|w?(a@V7yP!K?r0R6-h0-x8tKB96e%baU|6?>rs)s=g)_p|w1*|S*a z$fduJw3?|UH&*@WJp~<{0Dpb^_pHy&2t!-*WRLF0dHyHx+#0?t&Au?EYIDvle)m0Q zRaL%BmHaP}eriK<@pMAp5X&3g<=EO1#FMI?)l3A{!^^(AvhJq%)B@L0*%;fhc4ZjZ zg*$g~Kv-c-OuC`m&kR6&l;w>YzA3Flwy5?@IB;>v$lqcH zcYKPXSbEO6EQpZk*nokEzLDin)15b(s7O(O>@-ml4o~2<`M{##^<-~$puzsB^AJcG zL?qk}SJ^P}xIO2|kOiOkPUS5K-b^lz5rMnDh-HiDF%JagGX~xUJ6L~{+buh8 z56++<&#_MdqpN;DcoZXVE!WqBC77anZ#`CQn_g^t882BIp75qv%g5@hrWBGD`X>u- zylZjv{XVF37@8~fa(??X`S) zv%2=H;MC~>WbBGyFYZ$BiAi~@D4*LUDW&^T(DWT0Q_6_9eLw_4+0y^}oj45kZP|?$ zVtdG02(Z+1HB^(=BH+zbppSFq5y0EIPZ6mBrQZOb0j&tHa>YGejoJ1)b}sNSdF04> zPYscj3`IQi*tE)UVDpF2+s%nuo~s6fI5jztiMZQ!w#l+F+6 zK;6u{+06rxUZ%Wh-@V^-Nj&@K?i^ly_F=yZtg7X0y^pebdYa@AE>W&?_W@9!p&SF# z+apZM=oDQa1UBL6A53Og8p#>Ft8j3kj|WjTwHbXNXA4zv!fdvPC#SqdKZ$8)!xQBD zckBl8D=*#7l}_Z{&Z3Si2CGEt1SSu4!Jog&Ko8diKG1B{`X|rM6G4KCZu>dnYv+`H z8&7)LnC#Aqoh9{11R`fnD+ARSbc`dQSzZc<+uY1!LoXb%np5>LwH5T6V>-A+5K62_ zHDAejDzOEDsK3XpJsum}WH zJ2$xk%rc-zrhZc$vxlFUsfJ0s6T`>d`JwI3`fyuv>~Y!H*0p(ZJ3Cqu^aAW+QstV% zz`W7qp~aEP^9x-d0W|QMVKB3ybX_#@6kcV%ujL&uy12^ipje=PMghoIJeb*{o33g7 z8(ghMz(z)FT~|}lt|v2B@NU5M6-U;TUPGK(bVtF`>#QLE$J0W|*85@^omE(2E5CYi z6No>9=dwCpzz2?vqm!M$)(0lUYW+)ZE4bkZkm-o2C4gWDcu9bCRbA%~#yQmBNL!=! z$&b_}%Fm2fc~)%`Uz9j~ST!=B&q;D+O^NT@t>P{RV45QW>cktc+a6PNS2Jw@oIGBI6s1&x;`ypuu@&K_aA)Sgbb| zFS(W|sX;3X7DPd;B1ofM5 zLbT%UYjqIb#$O&pK(#ZwGL05SSHQxn2sQLQmeNgEvR-FVq5~dk)^UL%^L}GmCR3DW zI?xo!+LNKnw#?u%f4tfL#Zh%l+7BInFeKH<*YYPnBm+wa)^;NWt6@oB#k~{tHm{K0!1y+FjbcEOGe1bV|ON zfLcRF2Rdj9P4TXEwnEzDE%E3N2nD~|vmwi8PCd6mGQ%9e3nxUiw1DxLajr=9d1I`N zQYk?9^rAt6YFmh;d&Ch-Th$HxZn-&tOV)w<@9tC?knka3$ixbeGdBQK1c7LcUy*Uw zY@w{6#R|sCDS(%SEcAK1(Cl}^$a!OC`ff!(!Ss&8LN2Cegh;V_1-caUs?)IR=|N+D zZOmKm=`aukfXuR~rKXx3k!{MVQ=4v&Sm+HnDMOloH5%GGJiG~zU}om#-{a!C016S{ zW!An+lWux46s#mRL@Ndt4(8ZePZ!Tm>p(S#8sp9t>vijy3Y&ZtA243el$l;xKW8fq zLj1@k?p#k=*nN4MIa=&%*n*$ObS5*iDKf4UIc<0Gj)KJ>7XjX|bkJT!&@}<{Ya5`x zy>xADUm%)9>wmu2;7EbBX~`m_e`lvdlatF98fiOVtahk58Q0#>NDUkrI+9be7g2v+ zRA$D4Pi#+$kdSCfy>@*ohAeD*n> zZ%n+4?OvC(I?yax2_k5AnshNGamfefKp;9%zrnx#dwOXy{ZLT8d~Qc2VN}#ii<}9% z^CDCStKg^v8u7L5TSJ}OSw<@!wv?&GMiIGS#U+Up@?zfTI@4ifJVM@Q%E|)QDzIea zl$J_1?TR2kGzS2jFHunp04@s9ngD{}2|#CdBwxoLCF027KKPKd(fsKw;nD!@@m~qw%Y#Aq2nEYT=*71f6}ke< za&2b-4R&&ON3;$Q9C5@yHG{Y1$7uTV$N0atH)C+nECOIWxM zG+@%$V+}rWg_SQ4Qx{2bV=bJp2C(=@gVNGkQvf}W1rx;(ErhvR4k3?&BKIW(a@C;O zdj$>$6FOMIxCK*yb~`5wS9eKJl6l8O@Jv&-+<)HKtNC{~*9Km)ia^R=_-v?re-O(eg7?di(c4FuMJ)w#OscgV!BRU{}cl8}SGz4z)Z6v9bj*d>;?Jb~e1MFY9-5f8J zQuq&OMk4sf0LlBy<%Q}#@mX9CRxFn1H%82Z~;fgjElSLblxfF=)rIizGy;m!xLfBQgNlC3rdo4|aX)46kM zMFlsY4t4^1;NV=W96jyZ2qVBG(`stQ`-}kggI05;QTu1>%M`JXqJR-tkdTHF;6Y;p)R!nLuO3K|?4-IhV5=c3sb)i|2rV7&!NTe+W8!U!hB`~wfcXrXsxiiYE;#*X%tK^M=p&$sh8z#Uqjg|io#|af(hkc%snD|3F zntmLhHvyCy6C0aUjw*uA+OHIWK!#RY#I?4=;qWJfgqnHNInMCPxPINcfnH<9hByx9 zurcCSJN9r>u{LF8QVzp=!!6fJzqR@ghxN7xhK(4-2AsJzoG$iz(_2^!{p)4k+a#?q zuoJdSx|+`23L$M+GG_{XC@A+3#BP8ioZE?w1L(v`Fm?|M3+oCH*pfhZ9)W&uNL2*G zGeDP#9R4nuc8uFASC&a-kw-5Z=)Y2BWc^sokYC{oeK*~c#l9x^MH%Q4j~5OCXq0D# zo$@!oe_!q+(le-KNX2&HV1pnsL)vXHoGQJI($R*;4S^5$=R!tq!16{b8H@+gwe= zda(DYJL|Yu_-TTjEf0>%<4#4>*5~t)qrl?^MBXT%Qvnn5oDjJzZ0ApI?+SviiC}Gl zwkY5@S>|9e^DTO2YxDrv=NW)sE`5Ah5RMxCf2dAt02xk*uS7TZs}$6>gnzonoTs-M z;_&~43^RUeAuzEINYVVPYJQmihhvo6ZIB)2{59;v#r!;WvF-z@G;^AKmw6vM{MXMs z2L}3cp}xi#bBAyMhT`=j@&^!4q&0;#d1ivIq!Z$)|6k_P=^h+BTKuO^JMOMek=E8> zV4p((P=O@?^aWqqOqG~}8Bgbq!#`&^>D>s~LaP&tiyR`{pk!mVa2KKFvAIa8lDVkQ zx>Mq`Or0irgbs&Y=P({$R}ZQteVz+wp$_oCB$3CDZJ&e*{SyXhxUq=&|h!4H#n^x`+Bo}z^2(@sk=9IEc=Me z5VV|B`nVi8$%rDqf)fdUW6c>(Hv1j4zxLJ(_}GV(qUg9!xc)0WMXXZq`81OSTr8>= z{s0VfUe^+WPrBIT#rs9BVlu~uRdO)g2%Bc0$4cE4NslwBX;hIX z_mGno*$BLf}TFxfR;>1N3>P%Y-h{>}v&F=;P0LmLzD(}GM zc*-nce?=jmP_yba?QV|J3V9MaIhcUo1{-9y#)~wvd+NV6cSvf;#Z@4MCt;LtA|VHw ze$}A7b!eiA1>);@@FU~<7k7el*OcpwfrdVbcNBG3(+BejPVALm8pU1_)>F<;Mo-yq z&;Qg}R$$F`J=!+fl-WDH3KQ5mm-6(!c+Rw?`QHjcDU)^1S7BoD!+VwU7`@;h3C^>| zz{13DCU9GGKibp+95}uz#I-?UE_K`}KynxKnEVO#?rmKbS^u!SFzriDGb4z7Lbl#s zA>^H@$&+@N;~kieKf?(5a5z?>^;TB-A@09$2lRKkg$Q`yZbYkT5ARnPPp(c#U+orFn@tJgmrr7nbhV=#~!TC34iu_J$|{st2t9>gSBv;vjGa;)-|y zi5D)U@B}Wfr$>`>KA#CLFhBZR{+UGsm+@y}H#u(wCNl*3E4&(N$7L$uj~~17S^81X zW814!{r1NgFzvGxr_{yyatf09n(aySSJmV-?y)&1Znczfo?ba4T>cLN8N-lrmR@pf>{cU^ z_(HhkoS1k<;&qJypn3=y8?owOxQJ#9wj>Yz2lZ!@nl-tUxn2Xtv? zxeaPu5>Bp*o*&$M@`2VftspA*?M?2&Y`jjaoVyh-umkZf+U-$94Fa}{^UgRKq$=#+ zaH~#jDj~5 z#8urtraoQhhH#g@=@+5ee_lEAzG7n^b3uhU#l4qB&94(cJ;-&JXWJQ9H?x30Y-Kd= z+qW=8;Y&w`X!sBz?qV7qtSB4LXA(^FH~1qz73gYv1cO!ly1!S=;alAOq~3@jrgyCu9EUQX1d{ zO6E&p3`HDqU>qR;nY&yRmB+1v2}~vcUta^2s-ShLJ)vjwm&+jy?s$(eoGdZDah^nG z+MgA-&?g`u1R4bpCT3Za!xkZM!>&A_o52JI4{{I-f#4 z+?`M~6~ZiFYqf@3JxjhC^*{tJBA3et_N|0gvM}3WP(2_B>fo3Lghvqp0kElbn|A>% z!V{3?ZAreGSxzX*6x0nSuaCT<$$1wgpsvkFL(jIrZ!j|KL9C>dML?8czVxpbBpwW| z>2jaF`w{Y4S|x3@xcKpdqS5|EB@@BXWRSfpw0cQrNaE4r%q`TVc2LT4Wa8SBjYmNE ziCA<+g{z+4kFW^e0mMDs%oHd+OTa4%IMiK$svat*u_%SW!9yto&H7d7gc|ic%B)g& z7Qm$}yzlLMkHM;-MR+$kmNB)+y%q?89cD^jR`Uzi{3zp02QEO6KhgY%Otak9)iLFs z{N+SikA>sGlOVvdB+^*DN7Fs5a~;5$%63LrCNtg-1Hxy)Soulci42Pjvd(0M7YT{3 zjO;a`3f|lbk2;%UQ4U?TEBJ!LsRELh2Merr9 zCC#0M`iS1)%}av=0A6r0N5kxFfw)HnfsKty`e=b!&*DTjUSK@5b->J;5UY1;avJpJ4vg6Z#Er$BOpZ!DnVf@m%-W z3jl+%O}5?HzXnwHX$K2uU=C8gJH&LA=sB9~Ja#>!1Bea7r`Ai}(@z^?*OXf%fX2$s z{{0Qe{CMz#?-mBW8yI+WJR0DP$OZYVup4&`@ z5K5xDM6ku*PpdaIdCv#{#PnY8hT-L5-5M0k*I@<_U{Lr1VD>@%CZ%pDkU2qVBA>Hs z&9hPVq{bNpqKX>eBjeUvyFyic4=4e7mX84jAXs%<#$tmoiaaT}Ju@(ni17zV52^3m zJf>t~ieTgzcK$JKDKvCE%4>@G3wR<%TjG2IQ|EL*1h5ONVH5<9C|QfkX{?S*z?~Zc z(6;&Sc8$Tci}i5{s*z@?cAd?h50xE_=syhr=>w5bMb~j)m;oEKP^FbKKNztGu&fY3 zMW&%{t0Pb|Fre%VnW;IKtl$_UZs>Po-7QWo_AN)N-~v4T>0(<>0y6vt`9uq5486ZO zzRV7X{;u0i$iWhlIyW4t0>^^C?>{tEd}@e2zj=PKM>3q=Tnp4vFm8r^B9lv?0Mxu8`thqko9^G#u z3#JmuvIho==?ppDvpl|NtHAkKWnC<{)EajCehhX4x2>WYc*J{5h685nKuH9kn^*H!wZ!Ny^d5N&ajQ-k? zez^zIWVFbuyU??@O{k#kqH;gFLF@bpcj4d?x&G0WU-7#s}!~sZkIe(u7W)Y;ZQ&l%K zk;~n5v73Voc>cuX;43Ij)2FkD!79NsOi0L3ZKiGJIz7*R&q@EbuII%t9->7D*clzV zjk6+F-hNZNfYtUnFPqW9;GBU}V`7c+aLW+`Ku{7vO6v-MkoCyC?5calNvj5y1gHY$ zW)~)(TQFw`*9XAa_?O^CN2Ci5zRTE6bVQGv8qZqvqs^^oh<1$-= zrf96u)i0H0$}MUtvd&iRNG-Jz<=_?yP>!T>y@eNWRx2V`v7J30Na`gELz90;Rp!LT zx1{TY>%*#uR)HjM5r2F8|7reQ=$l^ljEPkoTnQ2|C5n9zZMScqIIyu6(X07L!U`=i zGW#tP`}LQQLd%!i&oKgw$L?nvD+iDH)UP7nYEFvL(SL-BheA&aDK1%LRr^h2?BT#N z>j)<7xLhZLe@pxbgTej)r5=nStC3<-r8VY^6e#+otF3(sv>|?7lD@`x)=9w^>`HWE z51g65mmEAJqw)m)31LxBEqqcF*zN5X(~BM@&B<|)c*JI3vOkJtINql!c#~!U*B8OO zsBn1d&wWb=PHD8|MfOW>{;HD~hw=-fE719ggVa6|js59PK;($uH$-pC7NNAekScX+ zkT~62|MpGj_~O74*fM3U6>MSTA)%r8Po8{gH_8OW<)F~el#gJ#!;AR8F*+e9VRRa9 ztcH4`hbFrwZlKx26&mSO!>!&d_ton8*90wxSEQ}U6i2Hs;GefBA7yP$kLLCD&yB~7 zk5fVZ5NegP6;MDfFBG#Z>pYs%^K$#n%m;3kUVvcr8TL*Oiau4@jyrfc4z`^w)O*K-drlJOU=qk|mc3cOgC^Z@(v-!yg}syN<^I z%;PK{wJeO30&FTk&CKsw(kYGyqaVR!L@<$JumETJ0 zCXbKLjY(<5fP8$gv34&@>z?(gsz;C1(giNA&Xvx`F^=v6|Nc!aA1sy+9p~oW<2)LA z_9iCvQ1LcXh2U#6Kv+owo`jzMey#t>g_-GJZ;fdUaK#_rszLnXUz!7-VQ7}!wK=~H ziWVAY51oUc3FetRqYLx$gF%TAN>}nt^)R`@fqjt=U-VpP88%LNPQn zG%%kn70k9f1|#d{Ks6Ahpx>_I<|knTJb5uXz-AQ>2(szpp;5Y~}SD-2bumi-f6`dwJjk1HuID%HCJOE**8(_`AD6;-Jr+Ng`f{ zB?g}LACAsnP8tvVxvNy_DGeW3RRC;8j7;T1FoyZm^=v%~>H#TRZNuUY2fXwpA&Bt& zy>V08o>1;zLUz5Y_`iP%$ay}YqVYVG#{sD&Y9U4vf`Nen22Si#gqYE8bWF(MVo8D8 zhb0FXr+0OrWHt%h>clSj9O8w8G(tVoH}FHT6K6iwys37rOK~S&;Cg$)p{-XudNtaT z=ACVC|)>W1+aIHervpkx- z`)XHU>nO1$LES7`8Ej^Vc#l zUXq}(Ls3^Gd^2z z2DdgT8d^8|Qb52?g5yh8nLvjFG}N<1Q=#MO-F<2MVDbGk zWsuZHm`ID$9+27qB`qqsumAe`#-Qu^)aK8?9X<^XlkNKhIH2yquwafV{D9DSU?b}z z;B_p~N_2HUe<(b<8|M9`?708WRbWR4e!jYWP)Oe|JQ$t6K{l}qQ}qjU*2Xx{9enc) zEnIP6VJy;hTbL>18!W*CqyTV0GDc5-PXFIqbP)Y{p%57GzV3pjaOfE^Kl;a38$1aF zcGJ*lfT0Z}$!AD2l$J96AVDD!#m-_5rHjDa1#WCH86SWD^4tjrcB}A@M0(@rW2>hj^~ve-^v@XrTroV?nAz?bt4=&vT}-++mp7hI=*X37&j zcdY%+@C{D9;LvJ(h{lM~K5kWeS3fet`0C#D1Wpw6O z;!a>ei*c(_{cl}6Gs_2ggGI#u1e}I5h&DlT0J<{ta(~Wp!v8|g>vaX2+Py?v#m>*X z)jiYZmb%&XGGCzD*b6j)lG(ZIIApV?ld6=M!>|<(*~HpaR63F>O_1GU=^ry4yG1&tQpcK|K}givG7SUvZ7;}~L> zEtPa~LBX1i&TRQ}AtG~<{>euot}VC?OWK7lH&-}x&+m``HgxU%d?lb|b#&3s`})~` zkM|K4z}Up(IT)mRA=qpt?d@{Bv!i?0hi$BtK^`A1U<*24 z;J(!Q@Mnk7`4Q5R7>-w1w{|bzix9!8TU-K+E&Tf#QR9?TEpw;b14;Mp1O}!Pj zYZ-KQu!Cl1HlJv2bL}@FOicVoXy#0xnV@gTzle$ZNvXV1S21{kim{5U{>F?@yCPhC zMnx_w@L<70xK&KzZ%7H4z+5w*vAZL6v+jRzE37PeGAM8&u?_C% zI;-m_VZ!)_VafYh!fM(w-}ydsB_|Vwn@5-hcnZwD-0x`3vJ>sGtVKBtQf29*+q#{=Sz=U zGpB$T3^8DDV>rWs#k<*Zm~vw%P5$+3BrxvI-Y%K83_sqCgzS<;lR&fPH;R?Rx-(e* z=~?+qXv)I}=8qf7aQ}IC9(f*pq^YY^oYX7~w3@r{`*-ibtyStTy}VxC;i{ z9l2*;@+|qnH(WdpgR-;vNEJzwlBADMehEY`9+UMjk33t>zR0S#JSEl5qXAoD($958 zNKmMVjin7L@@v0r&CWh6E2}DdeZkubF!KrwEu6?@Miw$*`KGMumBG+m&^2u^X;ohul< zJP1vy*(ERqZcN`c#`9D9%$(0864)7ZG zAD$Se=9PrT$!AS<-sG*!K5;zx+~beDnY=xIeBWMp=SxRfKY(%B_8=K^g05BKtMty8 z+uM(3Xh_k~rLyErMD%6aA2Tdxm*JQUs^}Os+LXC8{n)|Y*qDH6hYxI8t1aTNS3tb` zJ(hj5kB)}izAs(u4W*@}74SG92V+g?XlVl@B5){uk6wcT?DDPtz(Gs!e>i)qs4BlN zTo@6gL%Kuh2I&r^ySqz3VACz2fOL0DOLv2Sba!`yq%?wO?ce{5@7#YEjKKwi4ez_w zTys71i2%|`ttmZ1+2F)KL!@dedCgg&Jtq!bhwG@Rga3413Xj^Dryi6Njy#P{9Gxao zmN(aK=Y9Q3U_(no^$bgZrBa5r$j|S!vAG6c%y+h#`%B`0T4?ih6Kdx(K!g?xo|t~? z%}W@C?(EuHF4%ya4%N~u34g#RjP-CzHIeot&}Nk&P#&uQ!{z4$Hq%)s27>|v$;x9b>iC7mKYxxmPKD>Z zcHR6U#h=>t1&9=HPK3ouu6p~6L|9l9O6!8F^<=#so{|4aYV>NaD}PO3re!@tMnV#K zIZ<~g=hh%efjMJkqe0SfIm8I)axWaWej!1_PTOzSh5-neD(vg^-xBW28o&)nWIl)i z+o`-J*Olx2CE=Y3$w7VaoX3+t+4WCecg2K}cvcI8$sDM|u3&NYr6x86{-a9aeZR?*Bt@Z zK|*sCD4wln25xrQ;9RjYKP(OP<&Co@FJc=D!(&=n(sl6S>v38NazoARA6xd^&Sk$_p}_lm8xAzW_| z4;XD|WS&w~;e}rRp=z77XIq#x&>@^i&*r9*mM=3VC^|f@z^rAXxcL6x5^@l>q2a3+ zR;6*=$?sU>GqNLObKi7}bkjIrx@l~pNY>rQ`g=osGtC#$=xLFZbgsf#KI%GR`cq4xDHJsPX+SB<3 z`>8-g&7e;o)9%=FrV9O$*!S4XLEr|MknqVrqfo)Hu8|KEkpSh=Elkm(=?n0T{(v~$ zbLbcNK5y2hJZnFM+|L-iMUdkf0&+p8z!4FQN+=G%-qh{9@81c8yf^_b&Ky)}5d6yF zac&IqPBmBMu(ZWwl#D-oS2UE-*3o*SQlRLCj^b=Q{}|jKTNyZ1FPX&WDir_kadtw+ z{2?dl>f@>2+v9|g>U;&uz1N&+BR1o-vJ2WFlePpnys-GmY4n9Gn27cwV6SKKyM}=P zW;PI%HCJgg4x+77*-T)Wb?Y`jTA1c&J@DV4QAmTPmWqKDuhU>h2m(mU^qXr&F2MMT zbX@q6DO125nk(sZzngq;?bYD0ZXYg(t^I8+;r;jbG-?R~6*W~g_k#7$q(x58_asj7 zU5q3x5tXsj9Dle3|D32G*L%IHyV+lS9k40Cis?pt3Z|bO?L{<<^ zv@*xAfvr+3J{FQPQ`Z?gNMb#;y#6(GyfsQF$#DMPdSGk%eYX%^4t}wgynG!uJ5cD3Le0abn=7vsN#lX7q$7L4F(i~+R2H@Fz!Sgm6v?LB2T%PhHOn;TJP-s`mT~0Gi+NZsAzHb zaD(u}Xo`l0E0{z9-CmYQ*E_u3IT3O(^#&#|kgRX8q&lAN7N zIW-EngIoZN)9LpDd-%SLjEq>(^lMB^V>dyN^9+U-;d>q@_46RIlp8yx@p8@kY;$wd zK7!%77v(4*pjqV;g%2h%8G}>Ru`TqaV#W^rL1p_BbhEbJ6Wr_XpjoT$E>1V zyQUX!U}se2sXwXylZ2-ir?#eyyuY`*S&CS>Tb3GerOZv|d< zXms>GC`XncL>naY{@mj8_4Ng$(Som*s;XGP_XIbq)p1iCw9?~A%z6h4)mx_342j6@ z?(VhZV%HOTgqlfIXkP7wSAsmXS;rasY)3*9xMCh6)^3fXMM`4~8_it(6LROq?-9+s z7DO`Wk_EO-Rxygbtoe-6m0X-SVT8VTEe+MZ0-i)TsXF~J!?RyQX7%yfL@AnlOD^6l zWMySperlnTfo5kHn)Qt#_k>_b71c6P6{s^nqcoQr9jt(V3{2rp9N?l>to&K~{LdHa zAoToj%-Z6L-7a+^2GMRdRnbxvJh}$gjlHLUaG?-a>v5CIkG#+An-@QuxgBDQW)D42 zAIFjh>TMlQXYcGNSCBf-=6z#_g^dmEr$Cr5H+2bc!l7iXUOxr}xv04K8z{#Mc3B`18=9qF zI)|rDDktQ}k%}7Bjg-mKIN}@9#~Awu)}8DFj}-u6#wg=n*r>`Q;5LS zOr^bVt_p)MNH>tyoP(&U<{={a&1^YS%b4zK^dt|w$bD%u^vf$6Ea{FmIRA+WB#=9( zrHcuAnj-+8B|1$T!hR#Ju&{e< zqHBgaWAEl+-89u6&DPEa)eW(xsMmwAlap!8aHciMLw@@xv@Q{}s$&57v6E25Pf$!u z3`$IW@$%IlcvN9Z2fZxmheb5xf2m&%>lBAU0I zdKMLTQaQFC62A-#UWhuL_we$2 zE&bPDZZkuNjDoUQW%3f(DwQ+8gLCUk!{Y4APps)4N;)+t zgIw`1+$3#6#*4aE8!SGoEfVw$+Uj`l3DmgA<0qiIRuPXVfcsdk`h$wP3%FbKczEAd z9|)RB-&gdx&*pnxr)6X~=NF#Bnt$c?>R#IeZ{(F?xz7|Txo`$xWn6%lQsZ%9T4B^V zR+R0hODukM2<&{gX+KG;Y=BxuU zibG7w9V3iMWOfbo-m~GBqxowyOUQd*Y^)G)cA#upYPlrfucP|E|Jtz%d@|!voT~m% zU)0w5L~_h)go=O(=djVjQRbP;5qGIU#;M7oW(-#Jx=(>}3ZP0Nq>jY?{i}U>$)d%- zhNFs(OSyabt@8#gPW@|$HykMX{~;btXvMe?kA713DxZ5NEG#UKhr=SBRyXFZt}bXR zVZSQt=H~V(g|hf%N=;(9v^4!Yy~VWxyUVHnTA!C|a2C5JPI91-=^QILQu2ksxZ{%l zqlFD>d!Bg$Q5-$f)5_cI)LcKhs}JE1Nfd;UzdZ%-0+};5`9D&a$e?*;@XWF5TUu9p zdxL1Red0jR2)*lFX>GWOWNlO7g8{4w+#0LR-s*pMd{!8u9Qg(sP9->Yh5 z%+tbqbi6HJ-%C(IbRe@_^*&Q9JzcD*(FmPrPRqY@gfQ>MP@1$OGTVmBtV|##s&p0aH;Fml^q8e9?t?!ElPVPTmS zY&B1kD_vxzybMFLzBohkXX&NYJ`FD)mt-7ge!&^DvwR14w(tDy3vrSpDcK>n%RiOC za!br{q9-vM^!0Gu-KSg1j@~8;%L3aS@3;A=CzE5#^>dgh_(TZ(>;Bf+EbG!-glx|6 zi@y4@UOku)M|E+j)Zd(zq*UC9jY58?UipYJY|asX%f?0hV}$*m{=X1dgBM*aU3Hf> z8sT%Zw~2wC%~&>21$@UanAi$Tb5BN(c$aE#=>qq3xz@+Y6L?hG0dxZ+tPez zubL!(ZKg)@Ebs7j8PwWw>~;-*Z2LE_17nHdAQvJ@#+^F9=HYoQn(J6tOqZHL@&~h1 zvC?dQ*1(_6M2)OZ(=*`3ZJsLp!XiA0~U7yP9)iIFC|;G=kiVyNF+ z`Y5&?R*&}PD!$a)Cm_4^Ll^v!ZIB+PHt=Vi{6kT)M~*XF^tGM-3EwfYQ!_Ga<(lYW z;KC%&cNtdseuG2BWEhpkGfnW?;xgI@{re(mm;U=efj8g-hxA*YU$#D<%IoSb${;kp zkx@N9Jt3$qs@d`1B#~q_|DDlPQ%ad zdI*^8vaME}wI#I|Q}R`v#!VtadjjRZd5xbp{gYR2*6<#RZp^ki3sTP@!S#98#@AOz zpUtYR*xX(w_b)564hvI#(Sr}CriG(&*MdW&Km+iQ7Zbed9%%5e0lv^RLVe}Myto*= z)(IaJikGGK`$b(L;!U}UMY~}*)kpg=HL#u$8H@Icbj{;G{JuxLoc`HJ?LugDa`-Il z{zb_>17V{bL15xd&Vy+!%Xdxqt)nHp7-@wkVt*7u{H8QtTrgnI-VnawszP@uaE zL45<=&6Cyn|1BFF=>PnN=eA9z4i}F`$0e!+ra}LsikOkwW1F7rV!{;_(JhH=ocSK# z$mEW4F=PIcxqi@7HX#{?7ctK4pL1&Sy>}-e)>KG+S9T-cz6Gxm{+g%7@=s9z(l|k& z+VS=dJ%jXvXHp!XS^qLJKqI&T3h_^`Kr8r60p6>uxy6TcGJHH5Z5PFA-nue!Cy4f< z&v6owbCpK!}S}l>p#mZk^w*P^t#D z@CrlaB=3$>K_)W*oEqQ#_vxUcn+B63#K=M?*37lAQ@UUX0O2}P@0iBaSycM=ETx-c z_1^l-2#a#H<|i-1F+^67KukMWoKGNZeR z*{G&os+}~bAMv%z?~kzFxsUHmMn+%$joOzPVHRK??5QP&d5lBrt@^;aJEh;=g6yA@ z6ANw2X7K_GVJ3DaiBUNT|G2P|H9fjw*_Z^o21v56KqJ zVb(LB(KFZD*jifkyf3dXm6S0NM!d}_HqmoAk_$LC>#@pi=q8e)Xzmzhue@kOI%&t3Ns%YspV4)+zd^$qkO zg`%Nk)>~whg-~-JUrDtrh zoDd7L>4)w`P6?%hy{u6kAs4P%ud(jl$)L{;e}{|Lr7jMumFQ=1-z1mvma|_)bo6L_ z%Z{_IZ`N13dyQ!*0VWRa(07F!N0rKvxVkEkr%KqH3-66yKBDpbxn7U`E&~7)q zyBdV)Ir(wGfJ`Tv@!Z+Pq5h5_vvn8_4-fbz1U+{@B-0A3i@o4@711GpgDTIX$^8}GYt05Ky~UQV32|nlHHof!-sp0c3@>|K(NU&=$J`dTc^q7) z5W+|NuJ+f0cklzH&zT>4vxe=26Tjt&_f7S;Z0t_4g%eugTR1cC6Ty_X=_T^@861wS ztT_|Txe%ymxleE$GuAEHL0hulB!=O0a|#uGm9P}N2PPyWM3$dFf%PTwI!huzgFq+* zY`+)si$nYd=(?ZWg7(wiX9B!;*8%{NqgjlpC8!$(H?X34^D*Tm3pD6VUs8<3P7$Na zV67a&f#H}$^~bi`qONpqZ*4vP5HC&7ik7kFD`$Voh~K%F#g2B3KkY{jo*Bf*g53gi z7HMr(I$9JB*DO@k++T1IaS_=%ID^jZC$yEq%bUiH%lt%VZg)ij0tM6B$P%dw)S2~~ zo8-b`RkM2RoX2xzbGv6Jaf{8@H)p@}8Yl<1q2#VAC>e}5kNxVTsS&bo{ouAXz+!&n zE;V^beR_s7vhDs=$HmaMHzi_fY51}w^3)htA4UCWPDVCu+coh54t;WvB z$1WZBN=k}+=18(|JLyz_(}GbCS5q@R)7HbTV}Ali(~YsAWJ))rx#WBrZo)QqRr-K^ z@%P~gWSK9;BSwQ(OT#8lk@aG0$&AVhe`;kt@s{kjGK8-6g|WQk$HUdBE$5Y$<(J*g z#j}?2F;(bL?BIqA%xDmYM88P{^b*J|fKXX(Y!L>OcS+$rLrJvx1nm)C@5XZ>XWxkc z7N6Cl+^9UAg4~;Hh;d9KHpg}T@x|?DB!`TAe*uUwWsa(XEQakDIWB|(QZnhe@E z9-uoy`^;E5=zL%RKW=hEPbH%@cn~~%{WTj9a3PS70f4pm-&F;!;J=5UlR7C10pqR$ z8Twu_5v%a|GG4vK(3wDWWEc1W3#UN+KzTC;oDhVhuHKW44Y<6HR~m=r{`rDmc$sE! zo!GZcn{Q5d<9|(M2Ji2S%*5_Jqlr|Dmd>Z~=d7fa=)Y!R8I2vzoH%qE9B$QD+nfDJ zB_s7$L*hP7GO~}$1EUt43)zSex~i0|t@+H6s8VL!kQTw8ZM8BM1QHW195so%PKhNE z3OUXcQPeG|1mKKj_*y>Q{ag^-FR>Qn-(XQ;ixUDvt2%`K#ZX~*yMP=OiGSNG2=ck; z2mWY=`&oeTCcqP3#JHxP3dqYW%J@N@(#hc9qyEGFMU`p53B~li ziY_QH&_gu1)my4|KkSiFiw4~x_)BSKxxPNu{+ztU+g-eF;YPxmt*%7`ei6;nmcA;E zpI}T{ki|N2kaBtQ8o=T%$k*m`zMq&n3Lm1XJ94Yvg>f~t5{nNv9(PEXy^)nZ&(nMo zfkH@2@4-s=Kp-&$9+cdyc`av|U73cpK|>8>+(hg`ka}rfg8|(EjgkCe>f9k2vZ398 zpvHPAGbYFVJlD@LTx9+{YcyV+9=_?1H2$UN?8F z(+idpIP;0?P^Wo$MrjGgj|!be15Kh?g&t357>2w1Z!ZQc&JPa|1BDz|F=E&W3mCR0 zMyb%vCXVY9BkZ*a+JpW4zJQaY8j4bgDhoqD_DyNVQ?PQ|zA`vWiWr&P(c^i`EXBjt z)Zvz8$2T_7uPn$_ zP9zGE%*gCfq0^r{Mj04p6qzi_&7I7T2jB?B&^&m)Ezy`EfwHkwq|hE{V^d|x`Cwxs zK)(WZ2!k0I928X5v_(`oRU=H5jBs#^9zG9!@Wgy7--O&2G3ZaHL||=Ti3%7=!1jhF zVCV1QT>fs9qMJG-oMQ2(k5ypqhzb^$^+PU!F9ACx&6}(7!6#MTPmiVm+@;9h1}dW^j%CiQ?dA@vatuAqa`)3`s6F5PF5(t6cOmcTeoul{x+1N z^3K8ml`;8>+LH*qa;iq84xL(jO^7Vk=*v&|%8|`;t&zkyjGJPi(zah!x6ej7j>%!aGgq9z zBgqoKU2q9YaXn-&&5MqV>rx>oSC_wEl^HEYvUd(TNp%ivLNx?|Iji~Wj?SD84AFV$b};;cF2YlFI?hSJoYl(#3GMk z=9o*G=Ur&!{wj=YNJ3-^vPt&eNynV0FB@BGhiTNkCN@d1VSizo8pCfI=v@rJquI6b zK+nt|+TPfRqQZ@h_a4(MoRzu!vn?&Rj7DHXj11+o!E2hE#WT`8D-Sr>I^9o=mm-l80n%~zDe|6Fb* zXV7>HObHnHBq%V|;iaUcaKe_0*6bACf_ET}sxyRTDR${ZT&P#T((1dRqB zP8M^0QP#r?P4Dev^>!>_`_osDltkY^Ov&Ye?v@}!qXBRb!62e~WPmXgu&+9?OB9`O zytuleVq;UL@?C@heF3hj{(6;j(6&4hJv?A3l$Ss}jy>8tekLq@SLTHZHhQj_OA0DeY`iXkFU;3m6GE90w&C*y${HTqK~y>%-lfzStzQajK@}r{?oRl3Uy2cL*64LfqDrUZBs~=YVFdaAfF}9J4>Vp1DMMZM7>q@%~8&#ZTbaC~&>t(nLQxrd{fBF}UKay^2o)1fp zL~%5Vg}V5!o{oo%3j5hh*flftk|*RIwm?$kfI3JyAC&K{swFlqO0b;=L^z}M7lrLD z*Ne7Hm@^2!{;@AZ5jTB~T2w;`o_TJ(pr;7JVT;7t5}O8&1Ujp{VV)B{`B}m>xFHmJ z=R3wWSALkOI!}ve`T#1Kwuj-)!m3OEJ!TaFybx;nEw)~M$ld;~h(h#nEpJm^ z>Npgpf(@7jZ5UnhNP4D<;L7k>glgPY#O{=VYFN+E9Cf}Z5~O&X=fpsMl0Y^vA+?0$ z593b3*0$Y3cuM6ct&&>D?fIEAk9O5!)mgb`jMyD~6I@E<$D>IcS_E1ru4cS5(iM_c zLOPauXZ~wWuM)o`4))-LQnmGS%?Oj-jFmry^HLHN&z8{6=yTc8EA{zrVPS8;H1dbD zshJt5ZSSR|mPew}QfgbS&epSmeaWJoaH_ndon6`J9ya2SaB#?TfDT}AkbUO5v@9Yr zHq3^UNXSp)f`q8`N5U1!8XbonFH3FTW-jXs$5ZYXvqh0B zC>{S?0a+Q69rU^j`5VsV~L4q5*v{9gvZLk=B>?(PAv%((!>No*gLuYqtSwKr_4+FfA?s zqhw)0JRs*33em|&_&Si1wnLn3>?Zjn$4zv+(XVG^r6C-nCK>yZvAK9AB~?z{kZ&T0 zPEy|ptQfv#>c;5WtgVPM$9D>gTXqDGt(#@q*P6^#(BxS(%8np5U6ZiIi_!`#c1RHC{p8@C{PsnzewlI+iVBRPNc< z-VSkY_4O`8A%b>nLsZ9>(u=F@@x6q`VCh+$@G-Fj8bksN92OY7hh4=~(8CU$lbq_A z-Zh>)ZQv=dP*bn3IMc~sRsQwKsFhi~Yc2sd6D`gMAFvi+?gSo_Yx2HSiVbAQmaGh0 zToK*a&R}R2Fn;nuHSC`*xpr7Lu{5EXcSc*a*7a(vJ6y3xD<){rOb6~5uYhp6FF`;N z6zZ@#xBFPC!NPf;^9?az6Q*1`>vB9737D*jM9!BxGQsGiVZe~;#fujaqyk9^2{_Y# zzyP@rgynd6d4bVPPnAhelgGt(g%eKTi^F)@a?D~mnx?VYWYFq1nJ0yz&VUQ1sBK`7 zZ(XlD{iiWFQRMOWJKZ|#0NrvL3JQNPcqZ@%rX)n<6O@35p*0k<-N$; zghUqwU@>3WBQbu)bB$G?#e%30KyQMuLNod!Y(5mtjH?hgCIkG*13tlczu-3puVp_h zx*k)>a9GfkC@eypT7>hH@eveChwE( zMh(v&SPMK>I%QYNn68lp)=qIdJOVL3Dli>_YN1XV*PQ^z&kz_O*0K{45~32Y`4?q* zg+X1c{{Hnb^giJNmR!BSu@GipbkqXSsGtm=j0_TBW;hBg{z9XoDq`(9KyOgweR~R= zG*f`xO`_NHQoZd8;3~+cumyl84pkSjeVn2K6fv;7n7N(-m9Xu+8^!0(D9_dDYIY+RwMqf*@q1?WaTMQ{UTYf(An1YWJs~{BxDXFkZS*x~MVZQ91A5%@FbwAekOc zV$QP~&tfucOQDnqcD(tm^Y=;4+ZXf$)=PEt(SnzVtnF8Eq)Zhe0ED`_`V4b^Uff1r z{aQkZhcGT*4BTaO-jrDmX|lw|e4qTto92@sG=JkrcY*0E@o=gC%ei1LF&UBZ`0762 zCVY4yr7caWGvJdm82h!qjP!=J2=B?XiqmQ8jWNEMdpbEJvLuL4utlU#-sOV(!h5Oi z8K;uc1z;AMY7a&LdqV&Uq=>G#vUs4F^OaXVyu_XP4m8uu?RLjpa1zlL{%vh?*7b|L zyffp}Ynq@kg0X?JK~X55r{y`=!oyKI-nyBg=D-a5@Fdi!oon?rQV= zBj2xCp)X@?O}9UmnP)MaBzP6$dHX$)QEO{|UrJsc^<+8u>2n#s%i&ZIuqC@#vaPK4 zeY{Z}|9rD(1xRl-=7U(~9E9b1jeCHM)&|^qz+!JrFpdll?*UUmsX3zuY5IQzwiiEZEQWz2p@?>~ z6E)NisN`a`)g8K2U@U}L>1f^^6MXnENQYD5;g$4kX+Y-Gj8!m|{QWyI4h~IPD7bjb z*r-r?k3Wr^-mU(PKgaN-w!!Sn?{hSoeze}2{AITmS73M5BCc8&%wwe{eLq5e{)iIX z?`!x~m^Edr9Z>D$hW75yqA6wATBOYSu9()8J}x;NsCso$5^!%f-hLX-vi0VTb^5Lk zvA!abE+;DVzA7bwbWHLT0s^mCE3>$b^0)_v zo|AuPs15AO0j~XQfEyTfS3JcQB{{ zm|lY&{jNO7GT;Qfat`b}--jzoTH27iyE|293?j~NRaI3YL`g|mrduC|giW)8XG8&ao$N)A9v&9P>$HOiHYg`){O~R+32zL@s#>K=7Wt-2d(>r9- z5UHTI%u1K(~%i#!+4rNN3RsIji+0PIFDj0wd7ed_{JCm@y=n>Es;VKodlt!I{Hl4|bsoK$mO93MTR$^fy=k#ZZ>c$tHn8sdKZGm=>E=o7nLBu#jJexztG$UlhW{pqfw0?r-P0B?tASX``6mNAm9DKaIY>peEfMYz6!RLH_ zb!FZkMJjlg(-r;~FjT9dbRvV+J|OEvLMsGng7fbg9ZIMt0wpxPPk*8VGrGMW`<<%*tDq%||qp`LK$;z(T z$wbWgm?5QNSo>4bfQR&ixRfTc_6``WWKEAIy$-3yj(3(3CJwv#GV$L+Lrp+<7$A~O z*o}amMMh4}?CM~Wgx}>G;1XT}Bc2ODE6$ldJiol`?(Yv_?YIj>!Dp#5>qiHo14G6e z1UNW0z(Ewg-@&fkh7yed$8;CyrS}1O`Y%|^P!9FsbWw6DMJ=$jgZ|j}yu4QsC^MOoQ5Y*l|_a_WKE z;mYdjs2>skAP*{~3eZGpFbFu?miPQQ4E8ehT`_lYo!mUx(K>C$7LbSA=&u!t(@FWr zZ%CraB3i^88xxla`-0T?>K5Rv<-#`PFg2Wq0~S>~)hwL1tOAF*--$vB?=yT5-H;^3 z84^9qrjHk}YzIV{hTnPEs>=H2m~+S~oWyciGVSjhiRBHJnY*lt$5E+$>WPV2e*3!j z8|X)YnWq4)Vg|*VH-SJWmWWIa>OrmhnV}0mDadLpln6nWPv=HcQc~J+;sZqIdfR!Y zoq^X&jSk~-tnI%L$bFP;=h=X=MD>wULR@^I?jtq=23fvZk)nJmM^Gp>?d4v&LlR#| zQ4uXL?J)c4{{ncO27^QV0$5T`R~TG0;9_84ka-KhmkvYWnFFpLv5#y+yp)+tek zTBbtT-w)A+^T&%Fz5?SyTKvlz#)NTHkUSzv3p#`23GG+Z1Cz>cM+n}qg!@rGS)VRu z02ajE#qVhOBi_N^B<(EOBW*6612J+~V)l_67e=BdDyJE=6$EpM^iHWlWoWU?!}vu> zU!jY&VcYA}RWUy!M@kuTnBOB4BEu{V8e1{I6)zaG-CTr4X#P@SZ>-?CWf%If(*!Lj z;ROk)5JZ)SrjsJ-_wRTx$}Op`w^NYZGXb)tJY`;Nf;<2A(GrOLld3b|q$Swcx*w+i za(oqNBc1k1cpWL&+4qd`d+lufXGXb-!{+*>XQK=E4`RLl6)L?HH3;t*(z|GlYH9tg<|VfeWeH&1Dm0 zdjv}}EG+E*x)uYY15hv|U0gWvS@f&ssb~1WUka>?2mzS5@stgU!^>j!f56t| zwq%%B=Lmbv<8Id8^PqwH_`ucUR}b^g!>YO^8T-sZp**5!01_29so+hNU4Ry8y{{4FJA7w0qR_JHdsXd=Zx_$c^EDzL^u_djHq zth~<_oY3C>xVfR+a`lxu;diBv@F=D#z;+Q6SI$S*!D5Q`PFst`QB4wy0Yu_k^^pA(Dv z$>{?wyY`w{7qnfK>@X9#IP*)Ax%Y(WaZT&L6XH@m>m=u^sR2U>6bFm&K#6BFAU1SO z1dhfu@+nXr^vDe*GMsCw7bE(MEbmjk3jJnr5TJ;FPLg9azQsWR>|8;|Gj!F;&Ivh= zrrz{l4k8|WHJ;pQH2dyjq&K>2i{My3;V(6manskdmG4RThe!$6?FC_sGXEl%8-|N- zzSs57w^?$N2%9&M6*^YWSSs8gsi)4S<+sOLskKw3< zq0O((=za!#eQAzoxdl2RJ<63muu=n;t-4iPtd%S^h*-@TX zZhAP_bg`%%&9EJFzQ#6HChnJQ=ilM#CRD);l6xl~9-mA!8Tyj@lHH1rGGNi+OX0_B zb0pQV<8_dca1(?eS4`5OD-~r{fTR+uDO8Kxv?d<06XojSN)~(jPmZo1g8--qFO-v}AILRCt*ul7f;Z+1?nJ}W4quuj{hV70nOd?%9SP{9qe|V0! zxgb1=Zp>LU`9no~;5%l0X)Y@A=>g`l8NN=E(EXnBS7PsOpWUwP?XB0f zG(Yd^$&7HBYiT7#nC6?a{{~mhn7qNR^~G$&f8UVD)#%k}D!0p#m|fBG_NxkSiHX?F zABP4<1jYUQ^vlb1G$KOjp8X_BpDdtytRo_T@eGW2O1j-3iGrN09GmeXRrt8?i7NT? zfNuUiXGxj7rsgS_`a<3NGR9U7M$-eBtwj=h9t_M7cDqM99Co%n{zWr<+%ZqlU zURPlvi!@LL0$J;V{fU$WCyr~XbXMZ8*D>dmh2Ph3O^})AHzO>-fP1T|@LgggPzQK; zU%#TDyqMS3sbv5}S1M{^{_k)IA~sMlaKO(S08MW6jWSsPfizuW$845T0rE~u-}#gc zI3r{n4wOD=sGKl961qDfpvV0Zs}CcPqW;Jel&ed#S#ZOHCIpmKRvkiNnyl21h<3*CBk=$H2RDO7nc#O@DkzvmCf!;g(qk<77XFO?h?mh4 zzkHubNDS?HV-S1DCnpr*pGwe1`b`TYi-Sn-y#Af zy7P7)o@n=K`#T%g7==A1LQVU_*(oY?#-k`x({)-$KNQ~L&DdGa+q3t8bV_CH5S9Br zqB8F#D68=ud?P_SB(STqWnSMA$P^1&<3xA2CbVJn=(V;=F6-|2M}L`6>kLt=2o!$= zXL3GQ?r!tr{^e8Z**(+4yYTVq;C0sLu~vjNcw^NN8NtctP$Hco4p@h<3UDJiaIlvt zX4LPrmwtcohtxWrnZPx*xR?$U*>ZkbZf-m<*!@vp=vo}gXB!Swo*ck=&pVwGQ#%qf zq>--yo&Kfuj(z?iDr>prY3>1lz=yC@x1Iw|9DqvA04Cto1y^;?dl)LzEWXbLamkQ^4Y|NXLA)dqQ5l(ap zlL!rgSs-g9EjP5C^-8RMYme}+@%CR#48gP)>bR7k!}NW5*K#R7g9VK4CmKM4cB|di z1b8l%1I^G%MJOFdY6KcF_rfx2DLeAWrC%B+y`p3MpgBk*0LP*!cmKE7Z%4kaeMQ0^ z$~eyQX8QM?4s%9>p;DU3x(WxkAU4*-n&s@wp_Qj@!A?Sl03(Qu>)!kjmH7+@dH+&r zNbXB^Hk=H?33)Kfwt~`!JE@5knZcmHZ(!8D;6MLO_Xo76e|>HRt~uU8H%)vkn{@8) z0VByUMlnY&XYtP*O&$S~3(`(>?B|W04fE@@+6LiI_a|Epc;P*>MVjekMY#D8-a|Hb zxK)$cwA~A(Zjq4%u9unl+X0ps=ep7JzgvW>ztd0+JZPPALw(L6%`{tai86zN+|6bON9n@zjxu6aK~=` zPBIQ9_c)xsyRv`PgWtnUZhZUja6YKflisRsy`a@}9t$R0!MKz_-mK{zpOF0CM$CpD zVvWkEmlmOlC1NE~I{xB#Xi*f>D{tF{vx^N#?JSZsuA&81 zE|NJJ`8>`k0Cvp@1)%`W2O<_qXHw#6m4L>)vda6`USD6I0Duxu1#d@3@V{1ovhP97 zCuxTJ>2wAfH zRia)AWu}nN!B$y8UOXPHOt0;2-Cn>LCEl|6lDoDfAF-`1$x!dr5RtI z96C(O@Sh^Ke6ivedHEA`GCxRlh11=VtQtk+fXZR5t37qy!7r%%pAELwyk=8NgIF9V z74>3grlI|5LAs$EpI8^h@^S{h7!(2uM#}>VClWrVuVAkyVd?x|U!IJwf--M_mlEC_9@(1zg!qbS{KF^BABu zl7up@<;`+Tj34=`^@%T7Tx)RyR{(MCW`1o|)W>A!&X}Unyk;xs2e{iVvD2Tck!PfsF**4&E* znfG9*NryA$c3-{g*E3zDG+k{b^$s!%HcKr#R1^=O_okMXG(X)&?iqx3kBc`j`{UVG z0Da;7w1flXuWG?A`WY6?I8bbt`?JM9vtC1lMyck-Fl*-ofEk_o>pv|g0hOo5fl%9V zMJu?CazCbWScH9WLxFQ8+~jLhXpZ%Hm;c*gImXG<{>@^V9S#TIa}*YQ5Ym8ouuvfK zJu|HNqh1Wj%dw90pHr%js4oOI-%P_YAT!eL5n@@xX4<-+DFe#| zySBP&eMs@-$Ge-WMwkd&fw8MDVJaWQ&WwLSCt3~fO81#cCAvB@9)rHFz!5cbn=a;9 zG||h2TpYtPB#Nx9`2xlaSXi&pxHB#B1?=5dZ+F z2mtkI@!tYr-Ul%686KT*gFtdUotJ%^@eq%YyPZ9Vfemw9+6@oPvtI)mJ@GAZaPzAT ziXNsiJDMXFyO7WJbI0Ds^i2=z{J2)wwS=vgFu;^S&>##x;zMtpLvEXHh;I8_-F{_* zP)K58?IKBQ>Q0-vPo__E<)LrkHq^|h;POp7+p79npK6^Kh!DL;_a7vsO+S@0=+(C7 z2f~PU2bjiElmY07(T)F@e+J>Iu&k z4ODf2DR+so1;{O`$HxFvqh|KSFt$#nrL!DKVIMH(fQ}=;L<;=7rkmYCmS%;DnXsm2KZHXi&zXuL$;tS_!oofmz4-b~jsc*6K*7oMWnE?EpJ2FwgoLzt zJ#R$I&R#vEK+CF~6UjL@O$ zc{aYxDW=0M=SFEdyojf|dx9U3fm=^vyX!32Yf6e8-!>xKkaVLgf4Qpt^xi!qfu(T& z(;*)xP2L^fTNniu zMFkT?zybsmQIL=hQCdYn8XZuiyVC-Z5K&4(kW!GAE~QhHkW!E?X{6)qXJ*bhzwfN` zKWlyG`(`cInqdIn_j&L8ihb?9ubsTcJJRBhXERDW)6a2}Y#RJIrld^Ok>xAiYg`+D zO-fT|d|c<+(oPby)MB{)e_vU#IdbdPE!YOxDTMQhUA|0)Q3Kl{VXUgThuwN3*8JNk z8RR_o(i01iAaAc8v_u+$W^@qG;GvRmZFBq#zP;TB(DaPm7mU#MAJ8q%dOJV|w}#ekMXDo53})!=`i5PyVkU-L z0@;SGY|t1hv*XU>KbxlOzJh)q9$^PCqKDG25^M?iVUCtV`@;@V(2Om;SK9vh?%9VE z{()QFy6e}DPBW8*roM^PC~xPW{8x3*BiwpGg!d5@ONV1B8?1ti2Z1nT@@@ts&;1rt zt4M21fCetB2uxE3vsL@h;Y-!@G&DR^?(FFrXVvRQxC;?tmiU&Hs(!0i)Q#^|N)$yc z3)=nn&U{>Fma{UY-@Y9cDS42UodQ`Aj!L*Uo+C3<*)ye8ko&L_K>hD(>PJyYa%KpwzcYQm7>xs zpCs8c{C4VIj~*Efo>uotH_?_&4e}WJ!}M$$uUDPK3mQ^GN}9ag1G}27@}8(Or|{R8 z%!Jw(uq;o$k9@qG8`7Ya@h9@_hrc=lqZHqn+g#MNsDJI;3{?bILgBi25|f1q6Y8`uRJZ=u5jbVF1)217!#dN zFz2_^_Kk_r_x)gVuEF1@36KN{Tb3A|qn;r-@8NWYY#PC56pi#1l;ohOh@#A*4 zZ}*2q51twH46=G=scP5#Yg>|;wghN+>=srgo{R?4G8-|KZ3Py(XJFv_IUuZPUCctf9r(#i3ujyXhVSJ@@(kxV^? z3z{4}p3d}OOWBLMK-gR`vb&i1Cf`(gW%yd;{B2d=Wcc0yd0ttSKEXmAk>c-mO;BFt z`vp2W!KWi@+^}Rbv~FlwQ&OD0>3@Q#H>>3<^!v98W@H__RL%G8%Z}v+OU^dV*&}~S z*286MPkhp|?OHigX82d?WCxdGyUKc?nv5jAXKFh+SDw-wz zbmmDm=sR=s9~oV0n^tn*EF3jIs%Cubm5k2AM^{PBmz(-%=NOnzZ+bC~np+v^^lzFG z&-mO)JY$K}HuKq*x!8oMtI_7sR>P_0HYUpb4&U+-?s?_aJ{G&Pi-oT% zLtbtD^?r6>V`x#s#1%W($TNM(hNA7ds?9ORH{zCieo39? zu+*Zv&Jv#MAKq}PZXs-!<|a((X;=Afab|AGOv~_HpnF~0-p+cY;;Cotqbn&Mj1gBg zgr2>8WOHY3R=n=CY4|VI*$W^G`j`rJ#`APh1lGRs_rE}*nZK6aP~^F7TN?n^-PPpN zC8FNQtDOsw@%dU|@bUWTI9%|r?LdNq0wd5-cJzca7L>NrfpFRly2W`*Bw(%4D^ zu9kIxe~g7wMUUgLm#X%i;=L2D%5<=gH%WLLGw){BB z|JXjwc9wprKy7&aWnI#(VXFFqSod{`+ra~o%!|_-5mWssAMB^@I{ctjSE!f2I3e~S zb`jF2H z6J5z4)sLqgdz)iP3LQXS<(@}0?hwbdjf-jstT~}hheY=WghiD9|mSQbozjLdLmjQD5UA>o#kHdNaYoIQ}2CzBP zX@Wi6*(2A?<0i|?UPiGPi;B|eF1M7li4UKX`eUsJ!@PtN8F%|$G~$m?VINjnc8=kz zKU)vzti_AgGh6(`tq@1{RFRU%H;o&+FAAnc?+a`SzT&&vCBY*-U`WR>P*4PH?9R1E9k$#sO^nk6MAg$yHp+uy1npvX0v zbr*)h=B{sa6s}H`gne{hg*Q)Db7SLkz#3agNoN*#)=bvd*LRYWM`6%y{4>AxVm2l? zWZMpzv9@RGQ?dmqZW*p?l+_+!mb(q~4U`1` zsHo%4&dwqHHi@BWa#B*iidQGgYHGaD5v1K~phat>R%oBTXUa$PI!~!pyQq{xCz*Rm z&viY{y4onEu=1DFe@MemQBTL@*%=+2JTWrAe`>?xb)XZ6)wSH{cQ&41Nx}mcT=E>= z2?8~O>*SGbM{L+W7*lvWrtJ016bUJ6b?OUpjcEIyk4d`<9Lu_rn_qV8Ix)B2yb zWqg;s_%bL+Y<3@Bzyogo!Gq;rA_Vfxd$$s^UVP-+J&rx1K&}ZMieQR!Qtq0B~ zXp~*QJGVW2hSFe5R2#L$sfy#|;6^1!NTxD8o?`HLDEGxPn{3zp-mV}_H#l6~d?xgF zoBgGwzPGAl`Jk9hR7e^u2V@5&4aL|Xp4!9qVfRq&2xq7a~kjk@I z9SrOZxSKwIw&kD-jlPWKcw9}fMHX|l0;SQnVS|_ga zW}wQu@NuoI;~1*+Inm4=zfBZ*-U+{(Vnni{# z`FMFn16(?+b5&1|5wxF^*p_{}Ekz6D{2nmo;eCWSVE?D})|v1!mR}#D@#(M}thf=0 zJBy}t%O`A6f@NG3yg%cI(M9?N2M4!~lancnp)hv8AluPXa#+0fLP=@k0kPBv_w34I zdMqdH%6Nx3><;?}1^A{WJsa%L-~TOlvgpO~I~Tr22Ze-)?Ymd0ly?P2Bxle+&vNi7 z^YU~koapE4x=!Ar{7S|Q+T*IgGj+Mn%LklYrm{PoSfp3>tJP-x>J6$fKHQl+{-5a5 zrT*gL|0A~KL(5$|?_{24b7B=?{nx}q16UsISw_@w>OBYBI(XT+Bf>?0yFUVk>JzKn zT-D7*kU)Ce*r7!!RXv`@i|Mr$wj7%NXx}a>D)0H~xeG;!5M=;Er=Rd}!{?_ArkJh?MoRSxOopz^uyHnVWBqaA|OG{?exFa&P zDr;-oQ8-;0+P9110F;q4Gm|=8S9nBWu~!CoNJ32PL5$6&mrK79roySM*LijftU- z_T61k#-X)ACY|wR^{?HmtE+p&zPT4xb2o%s&_(l;cKVmPeM3F$2`n)-E5%C0Ue-pNzS+49LtPZbEl_cOk0D?Uk zT$cwE&}BG0vi&quJwV)fzyq8PvwFlP>2%$y5J3k{FhP~OZ=Io1eMIH?CwyQaOs#f9 z;zjG_*$0fDzc@^{$(2nNz42TXVagP3Y~jADcGTp4+u?y9k8zB96BE0>+&^|&!neG> zR4%HQG3LkQMN`3jPf7#B!<&EPrf1C_FolRyZqxH}uhF=6gqPYTwJQx_SH^t6o5I*h`+<@YkH4 zo<7dS)vP4g8VMoO@9t*Oh;zZFT5cId!`D+i8&b=}B$$tpZcwfi)kmKhmD4!dkmchX zzSXVbvysTPk8Te~wTw28mSlYpDDk_r`pk%_m}+M0OMZon7|E>~7BhXG<=V@;K}MV( zN&ohiLl$#MIuYT05b3Whba-l-u5$1K2h}Wg4n?AGNupf9)D`3%Q7D0mmnC;c!Ge7ceLg5i%V{{p)$48N-!;OAUhQBI-4Tm9Ca2Ojol)7mqJQ& zsafOanW;S`Jq1)IZC=j#6M}Ch`JQV(Jbz4ot#pnrY$vA-gQ&#c?dgx8Y~Z&Z5d|Fzqd_*@vL6omWyxA> z?*yKvSqfDuEp@uRGg*v2s8`x~Vf!7Ho1dyVo|?_jY%cd56Ye&p@}RWcd8dEQB`?x$ zr+bh#yGf4g9?K*?W0t$dWRTNJ-yb0(Ij5z5Sz&T{SJk-nwsBXr{83R^K9pwruX@y~rjfun~0ijfj8{F|a+JjggR(*x^v zFVYR+F!LqFgH5+GF!FYL>(5&WAeJFA=l&xryjY4$L{y$a==1r zs;l48KO)OHgfMs$C>1Q-qE$S9O@9Bz^D?rNY(gKx} z^XwaP+Etp27mfNff?T}}y?ktARXJ)W_8#T&^JB1{$PbbYK1?L0fS0`B4DA#t`FwGw z+g{!r+xYZ&f6Gs4uce0)hsiBe7vaU{6V(gMKqxL3zR|6etm8Im>n4OnxYJ94OC3fR zIM$p4Wm)s8_0DIxS!vU?Z@nrxgSFKkGey^TvXb%%@b`loQ_ORWH?GU%2Fr?VS!>)j zdI4tz+b>7{(hUv>UpvifYTR4t%f7VIE&pVtwE8`1~2g-+L9mXH-Zp4!D#_)_FqmQI9N!11qI4OgGr z#^2&PmWiAfIh6ELXUo^_oT1e>o%?}Av{|O?Oua)|)sV$a-{~f!FzN7@uE;5v-(yRG zv~-7Grj->YP#A{cbE@o)CzQz%;!n#QrDSRq=2x7&b+Q0vrnagWqc^<8` zf@$+QPZOsH+&Q^()%l+dlo`J}CJFCS9NCPV5~& zAzfM8wk6Q>m5n3)Q4SM5>G}N_2W%m?qdYAv;Md@_>7QCVT#^!9|F!XU*FF(ZSx+j; zq3)iblsj=6iWT}*Tn6KeO%%-rkfK=J}KAD9|~B9+=gP%TTJKI`-Km^Ny$f;KZboOUpPS6*DUZz z9)Fkl|LpiV!MrxP=gB^NmW}PL!`#sCuAI~r5AO5C>I%#v&(KpdFnmEfCtm{E1CMe0 z?VB1Pa78(hB~$VtSjppI=`6z`jW*qpCubI!f7am z*YDnsH~k??ZI>%eY3usK7>1>q_9^W;bS?WxRlNU>km>qDAPHfmTB3 z%2^5srQhv5aXsuT=Ay_HUkmKaJ{{-L<5bHNNxGG~eRrw!zoN`#ym8E8;}1W&azf)f zs-iXBxpB2DL**w6!5@=3F=zT4OUQ=WnW-y!d#(vDGs2+yF2>J15w~t%I{87f z>f6XgXY(b}Vv#u)uNcd(cO}GZLx+LYU%5#Cg^SZ{>&C{h47xJyG781>#|#qBQ$rf2Ion%_!R zOo->0bX_U1ov8O)UQ%7Sdl7jN&*iwZVw^6R8#jp6n$1&~`y59z!&`7gM5L~`x*$Kl zZ){9`at?b$SpsVnt4K*rO6)Y=E8(%w5OjSoe)Z>;w*{UO^t1_i98Sh;9C>@c$EJbh z>D285TxaS%%{*MoYEPV5?upt=pP!67J6RG!Il1QU;L?3pqAnrCYUI||oZ=^EPrtCQ z2@dv-KObw3Wh#pq#>RHpB|qLgFd;=z_i^5^W-K}hd>=+kfM(qMh7G?f@3MJPm^&x= z*6ebBymdd$`PcFouZXE(#i!RpHE3Mh_iu;=uu~X$+HwhK2|WYku3`QefF+>NnmS zsD1$@_^IHoFK+2z9;s&=dxdE%OIw5gLD14aXcYwE0R=j`Zmca^PjwSK8v?Wn>rgpx z`O1}9s6oy9EBCCetr4wSad9z0afdP+s|Z&Yr-sqnaM=0b{P#~zenIn}tnT#vgBpP~ z5&rr{-_H_#1nw7BDBQ*6gpm<*%)zp1%AMA;zosZW*3V%n4K3N7Qj2E_AFevh-U`p;AoUQr z?=et1+_~B@wn7r)m@_bC8XaeNC`i)Zh$_i5<=*V~n(%8PjlOF~Sq5c-cB_h?E@?7* z1ry+fyZ?8PNd18_2tK{uyg7E^!iA4!W(8YUZ>4CS;LBaxwN3v^cyD?YgYHm$sNih% zsk?qe%NTRTw=b(rJIUNl8_z*@XIFT5c;XRlNvKqwLu`d8(+5>8Ga!^;9oJAO)o9M! zyKvL`8f@NG%gxQ59t_qAI--#B^a$6z5W$aTMSl*%kiH)s8_`@5GHEnxoVt~}N$>&J z07+=iwTS7U!%?@lwyW#h>Ns}X?20`Ud%i}`lcN+fZDawN z%d*zPo1bE)X=Oxr9+dH0OP;D`)}m~Z*fIOYb;3SQo@DQ?@nVNn{^i+L|5SU^RjY7$ zk-F0AC-dZNn~|uf#?39w`#yz`+G=#E5ZVxcb#GOYr>Mw|_ zO_Q2*s&+dh0CQp9r?-1OxR4NY^dqx5P#DU&86A>(}~E(km?QAA76x>mbQ;Kmh&9 z7doZICqWV;-!m?l@yva$QdVZy5L9At7MeGj&02oDm?nB#SC6y9WNwoUf>r=InYTYb zRBSvVSq7!}P6`U$<=H{3w1@wUK~J#|lH1{AA`C#9es`rva4IS_l>-MRPkl-kp_r&ijrWQR`jC{!?Z3oPiCQ{`HH`T#ck;Wi$DruiVyv zEM4>C{e3T)<@>x&N0RJj+O@INPl-FKHpK7@*C~V`n_?UJHg~&j2Ty=6gycGNPd*dt z*|V`}X?2yBV9%rfd#j`RB(G?B6&opXYwEPaTVG=f{nxyw= zO0vAN0&Cs` z4U7tYL7Ry^*j!tdphe3t>k$S}qT1_P9zd8Lz+)jDfJBlp`*R44n|1qLGOlO_5jY~G zhW+qq=bY#o?oHnb#)|JM1^|4pDO}1f_1*dog zFYuiX&SNzg8BhqfBR{G9?Wv~CamjNJq)bon*>j(amFMtyyb`STP8~dYL+=Z^l|&9e z(NqpV-OJba?tf<-)q;O^1bbhI9v}1=f?R}CFpDS$sQ3v+Av(@8+u$XEi>(}T{02Q? zHGzFGd^TgRSk>ntXXkX=a4udMJM-hm4=FjhivkISv*!TB5KK{2WKs25(6!1o433Vf znW`4VV++P9ZEbCo8CL)fcVVL27q&K!hc}tN_B9;%abfP-r0eJz4+YofPFF>$emPzFdhV;dBV4t~6ny5tJ}Fvt zz-d#CIYy_%6|Z(>VS<8&ET*790Qoq{vOSj{VaXHWHXUvP{5E6d7!D9%n9R;$Vs!(c zuGV~)t)!ea-=Cx!J^=CS0JdWw^VIW*maL2={qD^2Cfy-pwxGfm_(8kqHG)={p9|~` z3jci9U}R!a`)I17au@}o-o1N$liIe@*tm3@MH)N*f;n{J@!PW|FD34Ud<+g2pZoS6 z{qw+Wb3GW2834R0c2NjZ7zX2;EQacj+`Re1V4~KGrXE6I7PARdf7<#;E zq{R%!KZe)|V&*7}eg>nTPC1%ghJ>6pP=*O{i93la?r-U*(|g5TSCF!l6VJ7x6sn`= zAi7nLD!iDHuhDR}$xSAB;g7cOc?+DI=(5liJtowC^J}PSf%QD4XFu3d_xPYYt{@kd z6Xn~Cqka-nEwm?C(DAafwHo) zB+YtNSf?qtx(Z`Fe)2@c_Le#!PXag4!4!z(u-zISj&fPMVXB_zVX@YCId|?7ubC2u z{nzi`^>DPn0ABgiuNk7(CHVOHcRi2Z1BYoMI&I0*)K2A(#Yfad zoxV&6e^7^u-WG?sBz}_kkDc(C!k38uU@ni8ICK6xMPqGkMkdogUp!l}l*hi}s_H@I zsp20Iv4@a5M6ko0iug4!PwznK)!ya9|NQ6v`97D zVe#gF{PBF9-&m@9|B|>c8hPSHi@v@7nuO#~gY;!FC33lco*3~z&Yvj1LoXVqctIaE z0b5{^yutKSCoO@etD67$$Bt?z>pyRkZ0mtiE8=ng`@_-yKAlgGA<+Bh>1;g!Iov;g z>;L*Uv8P*)Dgx2GkM5X>n$vupo;<2`w0Qou%>C{IrpL?iVU#RDKTa! zEG$I1bvw@O=z}drI?Y$Ur)YW0G3(;|avR+y{oJ`4{^G@F2<$e+>^cP3mm zFj!$k@WG-KyC!soaUkr^vOIgMfo;u)(okmF-9vu*sX z+88MmhYv6R%7ihws#B_&WKye)si|ob1U*Kz<=e%SCo@%&0v#78*iw9D>*_?#%;F-kJTL3cy`luR#bvbCF)&ylW?t^@ zB!puCynJ8_l6BX%D28n@4>1rDmGXm*#nz+y!I?$>tZgpm%-`x1!5G3mf0S;^4tB3D4Y^_>Qn5L28D5|Jn+{cQF}8= z!(of?M}czV#!==To>z-%A%TIC2)CH4*=Bs`1-`WPvplf{4Bj1TC9Xn-S)JWO7ilsw zGmi+^5`G_5ZEaY$aPj`UqtM3229Y?dCprU(9a6+LUgHiu54d)cHd(||1jW4;Gz;0A<&n2UB@B@VtYNY1Qpb4!|x-GQp(zmsQ(bM-(F{t zt3t&iftK|jP>nV#PgpT7mw_!zwVt zvKB|*ti?RM`*1#shmi3%HzJxe0>Y9+mWqy!&N6Twg|*j?0o{w$`RYaWe-m<9$QPP~2P`vjK|A{P$UK$%gZV#PKgIT7TI zh5W~k53&}QRW4^|+(oeI@9Sga<>ejC8;*R5hkVB5NA8W;#l_%_)t=4H@%>}la38S` zOp3V62y2KH*3z9BcfDIasBsZlhxmPBwzk=S$Fufy-TlY0EKv$5Q;0PZFJ9>=fS}+? zKYAltv$J>SpmLK!X&n@FPK!;Zqh&t^R{P($uDox_wa}G*uOuVnIPbr)JbbL#>cxu} zM3iW#+(dn%2!RPxoFXea0fiOR_=X*QE8g6T{AbU~ZIxLkF2cf|RDIRe*XO*bJcD#6 zT)K12-n3-uUz5guQgmQ}1P&;j)cQT6^$(@dWagEa7r^4ra2tJ>Q%q`AM0%dbwq}{p z(a|h3d!fI8(cdlZp`Dt*3y7<(u2vj|M}wLoTc9G^syK8eiQgxR>0d|(Oh5QHrIPP{ z`gaZUcX{w%=Dhz`3G%=GW-(I2^99yYU-2P;KIj7{6mST#i0Mm|A7KWpGKx+HuQfC0 zh)ra^Etbj(EyN4|c;3>Yw6?yE%N2(MOJrS$QmN?a<)x&^G0P7wl0W-$#oTP1Ht0v@ z=Gw4`^HQ&8maczPH_UB6oy26q9f=nA^{{8_QaL%6!d=YeN2$svo-ckO!$U{h3!esAmE4vp3nEnD=P^*7Te$Lp8;`wg0o9|p#zuQPaA3^wX7tQ zKg+^x^W&;m#X&Dn3Fu536gU*WSUe|05VjB!Z#lZ+#lT(aHj)I1p1yvJ;`{4tf#KK} zim0r_Pxu}oCdc_zm6!X!dZo86sV3!O|C~kI#eqHtLJ)N7grQ$&*FiBC(f#CSZ?7%Q zG@)#cML!^$S~&Y`bP4G`E`THE;lr(?Xgh-etP-jG&uH^ie*5XD(PccfQJ^0e*EfL8 zNds98ZZXUnn3!PyiFB{1py0G( zsGQC7tDSse!O-86_O>lNuFdWYfUiK3QAFf;U0_50B%?SnAEq^93=A)c0Q1Xr9`~#A-JA zO#9m1B0rNE+Mw8HJsfPAH35s>Io*!3W0=BKEM7HV#SQs%5`7y7QC$6931z9XYZW;v z2gEk@O+TU5_Q%K|4hLA8sPKqy#8y&iXu_ajE}213tYv9#PQciV*rltsg0L7DCmSq- z=!#d|gzdaK?{O`N`Y8@VOBo%PKY_7|?_=M+d&g<=!MGTEz2Bp>02}aS?BmB|tS3&0 zH5q0p>gmM}jE%7o55I|cYf#3hesm?iin6{TLf{r|diY0loEWxA!*1?E$2?55q+yWO z1fE>%fzt|7==NU$_K;hQIvK_mR=^3QgDF&wxgm@kLhoheSVAu zo@elW`ZUdPorv;1r3H3V=ZYZ63Sc}^NaE+`caPyQKCK#jvh^Ob#)4s%;tv2yIQDw&>frko-0DzZ17c2{qlDL;7 zm}f}?3Q1)v6h1{MIPE^VdEX}2a_||E2S>kMJr+pIYkC%~?iWVYy3)goIm|t$WE4Ak zQVQFelT&pyiagjIO5Rm7%XV}49TU+Wb&3@|E*&s%z4?xjSeY&^1mP7*31j9Of4hu$aD_y}&p zy^_F|FuhZ?_61CjM$o%bf;j&G8SfrZ=1+IcIKBTJ3LRbo~&hA=Fe_5 z%H`?iKyyb@7OC_g>LffwR2w4fx@-JTNDx?N#W9t;(bri}%bfvtOBV%&Gqx)NM*|kM z*Z<{9(oe_S*2JWwo_08}1=fx&zrJXo7|ot@&s06XI3^~h!wTuDNL!~@JxK9qo(7C- z<(T`Cg}F_i$1Nr$F6L$YN&Xz(;fP6z5)10qo`LaoI%1nNAMXHwH0~*m0JIgYRQ`!}tkmf-la<6o@h$he zQ`D_4zHbB_0x)^#9Us>iyhN6>1Ng+d{QyRPVeHlq$GZ#kRu&e$q56@%@JIOE)fHCh zdvp$KC0}Ch!uI|~0M0@hyab@?^ue}EcvZo)@+eH-wxdQS*bA_Yd#s(B05daylNl(z zVUULvv4zTWM|M(D4g;)1sev*7Gc=c>ZMOpd)Vui{m~;*B&B#@dgw)oqG%GWyrmKS*dIrjJj=jImY8}$;EGccglPyT&{J`7aeLsq zAM$gui%VKvCX^O(GUxy3CAFn7{r%K2S_p%%K|@gc@8lX)Te!Z^wFXA~y((gFsCKG8 z+7;AH#P}E%(5ak@Gr0u?bI2)~@PGsjlAMB~zl>5u4`?V!Aqb)%l+U1{wis<^Wt#g@#_y|yw8+2u}BRCxT?vrV|o}r5A&dqqaJ1_|+ek-CXfu3cq-~QgN6hO%M z;j5^Wo0EpfK{Tp3O2Nb=6{!~`)(G}a2Jnew- zy88M7)PnId2ytfQUam68qWe%?Dk&|b}+nK_~Ev(d|Ec>?E3}5 zhbyx9-}Y$T9Dt?B+8oLQcbm^`Ll8W6t_c@em|gzJwEz|R2gA@VwrJ)a4mx`JGxE&) z$$iKhqeZVjBEkY;ZjJFK!Vs|y9400N8ot0I|CNN#d5N%TJi*MoeTV0>l5y(8hdGg- zi1876PNN#})qT{|x9*55L%xoznIh@UcC}CkE(Cw0k77cDHK*SU5U;r5*D1(y&iwmRgyM#9%HGW&h;13fM&MkW&4yh}Zs H`{92Bxqrtf literal 73305 zcmb@uWmFYh)Gd4fMM647LK5wkz?(Xg`r4djNq(M5RyAhow%8pZ2s>980{R* zn8u2+c)^Px+Dm9SK_F-b&@Y&LfjkQc3 zq5gGE9{d{mC_}+;;r|{BzIpx@mGa*cDRBQEA6yKJ6!fV#mb!87i)E$tEbH3Zn!S?~ z`I|RwlbaJ3#J<-CnORvnHe%J1Qc^-c<&S60((C82Lkx!b6Q_NSny(5cruFbdCrp7J(RPHt;VC4B3CUH%n)k1G~@l5^3KlA zmDSaN^mGzF&vX6D{aI{WT-A9R$w8;{Z3XD78X6gCRGDKS<1so{OTHg!@;ED`^c+eT z82;NEYjqGQX~@(1c)R!h#NUlCV|=IXYRRj2V8D2)Sc6`x=1YD)&5zkilYU$(xwMa} zs`35S`KaV#Usl=z;F>O`w4e`>P35kiqxkX8=hitd{O@js_l+a}{qgUl1Cg2DVSy)l zUOqn24*->+F9fyfcfcdwRSJN={D3e`oroS!Rk02^l#^HqWX0)#O^N96yG? zgoK2B^;_92lm7TjxpaP&CExBSB3N|kAB+qaiK<07qN1WI9KYhfCM2jI@=vLJ5zC^X zr^oheUaHvdrB25-(Rm!W6L8ubpuI3*#uqU#_{og_GVa%Wo?NQfXh?Ro>?fe0pm2Y)l^z%p zqQ&oZ+Dpylu=cF={xl-X*{Y<&oGo+G^5poq?f38Blbg!P6BEi1u9W>Z3kwU{HlMNy zv5|tteJiDMPLt~RC#ZJEs{0lf7bmHdB{Ve&RvL~JOH{K|=P7wCiEeIgz?wk5CUp~2 z-pm+9BYwEQJ8ESwDIMSGoG4Hd{rK_Ah&dY>Ev?kY6wdPRA(Y@>FA3NrtQYDOocCuG z+}+(nRZBF(B42YLkp^Br-W`b+sg?vbHa2dL{QNxA>{UB?31W`Ew6wGaa>lUDAEu+f zUm9#H;;m9HLe{8x_2EF`JJDL(MG<-VugAy7=tSJkG)g9LYtU%u`QGG&Mn~gWR%?Q^ zK#Lz#|4KZlrltDj%F)ih%fd+Woc*62^+7ptqQq`Q+v z)Q?9`k8&w|UNr+gTwa&O_`L3A$CsD5?d|Pr^;>C`r{2n)3-wN--rh~njq>tp^PY5K zt&QbKt1ffsU(nVIm^l3H!EhMny9#Y<`>=X=$jI%wPXkii=;nT{D}s!ZQ~i8rynB~N zPC^1*S66qfW)Tw_8Hqy> zDaK|#@}cRt1KGrLC!Rrzirekb`o#KbcT&1or?Fso9IcCON(5mv17UH8^IP3yL2}Zzw^EdpD*G9=#3ZWHzAsZg) zeRF1?+uxWDCQ+`fuLpt1BA}q)MDyR~_Y4eFY1)D6f<`q{x7jm(UBK~g57N~Y05%*! zK|$5!_<|Yf2sLOrsE|Ctf z*7`gQTU--aYBxamz)8@v+sr9%URmzlv>5kdI*iM3gn?-P95ok-z-6Gn)56r^3#qA5 zi(97(LAzK=I%MJ@wd zgW))IomCd&BF4tq_HJ%?VC~f&&SqDKi)-;(wiqofEgkdoTIUDzYSxPllcydUH9t0d z3JYaw7M2ItzZ)+$xMYe)6L%~x>p>9#9Bo(_7PV%H(Xh{oWfX}3<6+C4Ee0+w)xzSU zD0mBecI$+mzCKK$P}bF5w~7z_@&%ippMR~NsTDht;63J1(^-`JR;pWIYiq0dSa#TC*&v8LDE$!g zxvB#903_&7$0x#m#JJV3;?!0d{e#E=PGwRSn zM(dr-SgfY#Pfq)pkmcm$Fo=k3C>I9q#wtvtSu7`LP5{t^dL7nx@0zM%Y{u66Jw2|i zM+@KrT*jh}lX5;>m}Ol!`HdzJ+IZL?4f(Ij^v5$`-CZ8g)ee4sfrbPcE(Qq+lj%SL z>E=Kpx#!g(13+N)YRfp2<~TYv&Bc5a_|My;Ss@6>$XGi&JMkB{=R4$NWMm@d=K1&> zwkg-!SfsMlU=5JY`!YjZ--^EUEutwTGX}D{<*|D1)McR1SDD) zK+UfG*~%_BG~PG5o;#HN{2TyBI=i~UK!yMJ<+3-0NcxeZX=X+py7!3Z$hgpg2nUf} zJvw3js?^J8xGHvE-pitR#vzfdGP6nHWg$2NR|E?EZM2pW|`1SR*Vt?MpL^5UCI0;F~ zau1TA{1#3^KF=!oqDjMn1Qx@``t~44Gig>yG~MnNWr{}N z;vDW3suVqYgG$J$uQ63)qxDmnwhLq;L;t|mYWwFG{R?>vS~a1`b}br^`1Lwa0YxtJ zwRTKNY!+nDP%Qae>0l5N(gP%v-}!2wv1Wg=))nt`mKDv9Im~FwGpjg1N=jlF7#MU+Ppd%>V(l{;e_2W;Wohc>SuS|3Or!27 zL(qH-PyhBp8!0G|oUx-TkQ)GT<{eQyK)s28%!T6gOpQ%)*QG|KDdLBhB>dWdZw;&+ z(;$0US6n>0R&(;YA7_Z>gRIjUNEguKeY!u(bURv#ciF$u(Ux&=C^uiID-R6~MIXxfxS;T8jx^pVh<=e(UxUk@NTch4h`oJTm+qNE@u7z@W^$K-t7{E}mJi?b@^Fz3 z0?pT=4Zt0nAf4%cj}{uHm%9mQq3A-OnW{oM#>bUX_YyL6r;<5llKpTA85wAo2h6-pig!5iojAm> zH-<9aWHYwqubUF_!|erDiB@fmr_?)w$V@=*GcCq*RrgRq#Gnwp-W{#Axmm2+JZDLC z7CQ{cnVp8Jwl@7-wH39HurLGO9w>Lj9L2Znc1zaP5BE1`CA>302nZD@hXcGSn$Rwd z(ak;GB*ewRiJN0&VNs}SY}6tO3Ew2t^%2%=_N<0LJ6ZA6Yi{R!c^d4s&M>Ta6Mw*k zRQoRv=FK*4=+MrNerD@~?gKbOk<;9iPjM9ILX!vBshXaTNp;#y?{w3B2#GJc|4g}& zc+j2e`+|Z3RWwNr4GrijypEdH0)v7yrd|UU9~V+y>{DnxWB^j9xGB|Ysu;un8c;df zsuN2G^T&f)t7%zmJUp!_EkO6<@IE5U54({{>2-s20=glGc*zD-Rh8Q0x~lFSCN;#`G5-WT!RjW(6*bfxw#qsC-QX!5KR4c zV@=TvnpI`oa)6uYY#!ZN2ETko2Kds3feHdC5I9WUK0YOZ@qA8}Hr2gpck`2LBlN0t z4QR7xjde+UUYFlJ4z*=GoKOcZL7)~aJrosV3N?7 znP`A&%GYacsoP5PqVHewdwNj3>hI_f!ob5*lR8so-zqEIQjoNcQXT5;g=w3fp3c4S zd$>@803N4beGgbF9L;+U7JmLT+rDz1VBI2xRsHU z%L5<*0ipxLf3ir;h>ai-(C0~CIQASFz`ts(&6x3fdV1QryF&o}{P577=>Q5kTq?)# z{`y3`PuxA}Dk`{L+MuCBH=lkIA_b%}UfJG;BP9h(NuQlU)HnLBmxAS5sl9S^TNS0)*9 z4Ro7AfijfJYd5)n3k-Y)0Y&){AZ$?_tII_d_34=7T{WuGgJS>;w=pCoo0%|0p;5|YQO)+dd} zX>&HvrMh1CZ7Nr^Q;qK0CI)LAJP}1k&{GL5R7&OVY^WQZ=<9Tvf%Cr_x zzIb|jv4@3@-nKKIR}!!HV8li;5sdOWzWyGn&idn|awgH>GC+Uxf9sZ*2*5t^mrmo_ z>Z+i;JUS^UsW(u~Cc5&kIc&9OZDEfO8;=~1R|E;zttEai>OeW`q#*N=72vSaHm^Y; z?luCA_J)F@(^5lUU%$YoCF%5b)SL~di0`}IxUwmn0qCE=sip$XTr>?>HH>y5Gb%bZ zb|*O6&c}y4Xr2ISL0h>9nx-dK7XuGzydIc2iWae7nUJ$adqB?z zB>3&&;o-9vFR(B%JHRUxIcGf|hqhdr3+Bm8QRMzD%KF>;7xPgb_V&!6O{@dGR!y%} zZus1?Itf@g^A*KZmnW8(n3z37LsV>RRTC_LgH;li^84J{1HH;@(ue)&^XFH*?#v(+ za_Z{p#`r<*bb%6qiAC6-D8NePb|Iso2^~!4h>eZ?4VW7}-tR)kixcLE@V=<-$%JSp zkX9w}jrH|$4Z5?QEuSUvua1^U?Ck7dVPOFsUyW1Kg~=Z~0sLr}uolP-hiM%*z%8SJ zqXZ%lpPZ95)Y_N7pO92KTcTO*sGbgTn(?f`ZqKDH{)~}*d2;Cf~{TrYMs_#-7 zHIV_6At9tYfMxHk3clBpOJUfex93VZ&d3gyrI5>co=sVr$moCvewWuWn z+4SF8q6yqXO9)78s&}RX`jdq!3!Zx=uJam8{Ee_@(dWRzF#{-Q^2_O>7f=_?HfORl z;6?O(a}dk=1~}kZ`wNoqH#d`Ls46Bv6f^-h4U};>$Fg^9Mh4&a*^?Z!?k| zYp|JT_r2Yrp8BQJpRbVR{`7D)TVwMYsI`r`u}U*JTn5cfpaW)_Jl=uE3|QL;_#qU$ zL`0s6WtGpZjeMIX(kj337VtQw0I5jM$QT9mnLmhB=BWAg#k5``5P*wY#U%$S7j-5k zCZllqTB`Wi}vIR0FhxX}@H6PPp-CDw&v`tkxmCfn-xiQExfbHLa z+YPW4f9yp#5shq+~pB1q2tpetibOyb^2*L|DHvl@eqS z&?>$lOITaei~Nv>_5lgHvm;JU%%>mNWs>*pO68L zf+}Zd$wt8Cvip6*0(Ry4WE~RUhXaJR`L1nkOqtfeTVu*D*-Q<2qolEZXZU%`c+~3(|+avvlVoGIa}LbaaSX}ftx*Nem!4FzYy_E zu~vECUpr9ArkGbpmE5W01_T6{po(iBU;z8c1jO=ud-Qkiiz0xXW7Sq_OP+fS@l1L{ zPY=saCxaZz%%11ljaX)PALJz6LK880GEzy}I8qMA?x0|Qq!HdJf{q;kd#(8f#@7VnZ3 z3$j7-pYKgaLlY6y_Zc|Q3Ws&Ee&^R(zIZsJ4K7xiwYGy+rOkhUtp?=xi?gj^GayR* zAErM8O&o|0pkzkMNjU_Z9XR1H=pB7&Sk$uLHK$)qGd0p?H(jqq0DtBkP!x>1P3pU6 zz#?Pyy0nJaHXgA1D{3?i?)r^n2&$CV3IW+~B(oN0g~oli20HjbsCs~d5+7ZJ8-zzn8@$rS#WUf z$%l+fUv^(QX{k}B4+90_*LOZwi{153Tk2Kj3Izwq$jH6J!!JIrNfaovy6jFU>W0QF zf3B@{OH@Hord27RE`-_^gE?$=c1y#3bq6)`P+ZxfXaj8vXatp0njhjHK0x4Jp#B8~ zwgDu#AYgA$U&zIJvAY5!)&@9l)o#z_79Xgeth%@8w(Nud5`M}1Y*5i=`@*yT$`vSA z#hL_B9~0s4z&)m7WsL!?{O9-%G*bGQkzhpe7c{vnz%}AF6)U&YRYSnE00Xp2pm9bm ztK&D)eJ(W$T5R~12XzBtmVpd(jU#ciu_-O=E-AjO)?@(KT@=%73gE_ul7b=-n5C7# zLyU=yE#Ysx<%X@%dr@PzJOogNq5t&kOry@86gadhX-G<#aZ+9WFmURXrje7_g+Tj4 z=MtWm`xc3~s#wZfkMW6#8kVz@Ti;7sBPx1&dj(6UwHT}x8{UKT?3+40MA>k-T6D`& zEJ$EAkt$dYME?XbJ$at>o&CxO;JS223p|=@s46QfZ~A(9c}-tCzii|U0hLa#*OCI5 z=P2m?#Gc!v!0ioEEduh6p;)_qOi`@@xGrDtSv~vnRJ2^+`( zUflzV1%1eC+q!^d-@8aCqN?e7bg`zq2lAHxdIiq5egl`-eFX;a>_i?nMwuiw1CVqo zyP(7UfJY%<1`>C!#wH><8f|a7)C|B{6PUO7_wKP9{dp-CMJNgM18^QW@tAat!MsRB zT>Nama+v!s4`2fZKs$a+WDU}?tqS3nwYVGD3hz=$NJ zq6&tdECA-AG(ITeLELY5@}Q~#U{by^Ep(xP1q=dl3ia&ceo&B+eFFC0*YDp&DoqE~ z0Sy9T*#y)>eBc;>fHz>j4AFd-_<-UzQYK(!E!h7?F&UC+UXS8|#>D+%QVopypl%to zZ2=a2478~F^K{NnAj~JNPY=<+7-6wrX;T!wsW~*#fVO@pngzhUIPD>i{+g832a??a z%n>F!?7&N$cto15+O0TGhad zy1ugi1PcHqEPVVP;QN9Z9xoV=f^=5#k{ASLJTd?6HaVy&$q-Z`cYt^n3w12OTe=4g zCcYwZ(`gGDE3l64!NEvi>1GXd_As^Hvw{ifd(e03fH6W1xGT_|DV?1nEg(x3VVqS= zz-sSLx=DcWi3MsFwpw%W({p4RM#fEmKrRv_8w#m+^FT7sR#{+uhDQN|t#B|r1B_T4 zd`BE^ zlgy3-#0ME8qb$8nL)AcMiphn}={qOdWYDZnI*^${Yi#BdV)JR`I1w{IP2kfWp<$i%zFOw5#dbVhue<9 zK^dU@!a=jp@dnT+6iR17DwUgu(eeEaFPJD++00MHWaffpf{9*^V-=!-R4g+9oKaxW zLnm&qaB!mFbh^I3RT2Si-(-VyJbk%$D_}Cv5$_tn(=zY0m>4nuU=&c}W-JsN2PX`; zEwW(R0QLOASPQKj_~EQdCZL7=iNPkKmHm{OoJ^MndI$yv1}St0pz7&9e)4&5LOH<@ zosvShy0h~ZQgokW3VPaU-1+-TU#NWfI=6?|EQMp zY}Vzym{204pb!C6w%@KOQ<;R)?`lIq7jqw=gvRL*Xw(G@6f-qxM}UiEnUCj2Qes?u zdG)R{hEiH8N4@-gTqMJR%2wS2=(w3+iSf_cm|CtgDRpKimnSEcl`#k6{~Lh;6%5sB zVF0@R8-a1y>C);Qf+qf!jGR13v7qWUidO2AjcqAVjT=<$EuJI?Z_Vlfe+NkQVRe0- zys4?FQ-)*FIF9&N#nGDOesym=aLBI8QC_o$0%JY`s4A$FDk2gH9a3@n-q%gKUM{?l za@?JG3!S)Nynao`%gYNL_(EZ_6I4^l6p!b5{`O*H?FNCT3+DdmVJx8F&D*n;dC+Ms zz*cCg^4|Q7T>~a#yvx8Qm0CdyyyPsT1X77lDfM2g`a`~2H;sxy(x>{ z|{m)ev`W^!l9%i7H1^kHh^z`yn)c;*Qr1T3zt`oA0@)5Q!(3%gSCJn) zIlzNvc6eCse=f!B;yX$u*z^Rr{r_-9=KtaH&2ANE3ScOJlL7e%8Y@Q`n147LE_z(z+!~YlKu zsi3X>QC2o;Qu^PM|7zySh6@8f6bPqnP{}5VK#_piA(;49FC3hno&v3z3EKQiV%`Mc zjHt{E1N4goqtK1XG6Ug|gU|m(<}%~mw!7857H|0@;?PE_Q#DtNRRZ^0)ba6g7W|hv zynf)Vv$M0m*UJDlt5IQ$2pscOFdFGJXB%twas$*!%T@r0778Ao`BQGE%`d`N!vC#L zi-sNhY+rBqbg*oP2S_h=zA_jUpsxuLL8wtPGfY2}f;k8>Fj|^;*eZe(m^y3MQ9?=cB_3`@- zTSz{eiL8+|T!@g-&T>*^wud?awi0`NE>oy@DDHzg)Y^_Fwl0nnN+xA0NRrsN}H z{ddu-fZbz`H*MjVqEX3hz2MT=wza+r)pqcEiPH7W#BfvP0}-kjp{Zi6WL?pMjinMo zd)fqFv5cm)sspY^1Mg{-$KSnEnIjjEzgB0X$b66%0zK|P*9;|fYVKf{Y|&=i{5Tgy zehKSrSz?_?F=5a~X3GrVgo9tgw3)M282p9@GXXQD*YKYK=|Z)ix2c`X$br^gef+GW zEwVHkgUQD|7H7nxwUL_2h)R$B=x)vg2Xwt^>a$OF*^6@=g2~DwX+ue6~?5FF! zBwTSW;Tjx+nJsQNsF=+P!?%Agyd936P>l(zW}~!i7{M_nw+=s|`2U!Ty}ZyIWvN3+ z{WL$uTK1M82=gZ$MJr8&bkL45j!BG)b6D{jJtK};Y|h}%o($0}<@I0Azhw%eg?e9#vXI#fEouwiHBb!Jp)4u#G?bK|EDLE8pEu_l|S=?j(fl|A(fIK_ER> zlZao8d`XPFMJVBsAkzKybMP$zDd(@zvhm-ksli8 zUmiv~*!5lCsi`!k#`N6P`btyuw?ZETsf^R>@45S@CiuRzR-q8V%8~YrZ=9U( zdZ`~yBa$p593wXF;=qc*VQ*=+R#7hDnfwm&$xfU7v+cP=VY!f>$5BQ@8JBD8JCaQ; zas^xJY46LCvM4%@>~*ub@H`C_Wwnln*Kr$*$~I}pM^sGlOBems*#?guiK9yHok2!> zTUiQk@CFXX{xoFayZ%Ig;0t&L1S0zz%8yPcT9(yS6PB;O#YSLA*gF~Jym{V~zhCk}K~mD>mu*62fOZgh-R*$H+%R_mp1bgs+QHyhcvE z3!hI;kSIquzQ{k>lYQz4LwMOKqvFI;ar$UO0_|?R^#Ingag9dGT@T*zrq>|)qcyMX zOs|`Sn%jB3)-coW7caX*9>LS_+r;`a6^z?*Ka)WJ-8k*@th3A5%wh5|>KM5fzEat8*@L;r zr0S0Lh?Q=`V)_l$ZZG$GLa#B-EoNTiWICQu2CjI!Vj$u+VbJ@i6_&Ris4%&YKD> zXFsIfTKHCpOKt9s8G%2F`Apg3B50;psWv#I_W;>EF4EOt5?t2lZ^d=qPWabAlx=g> zURiUs28AV4$7p<)tkPqPctKA!(6~mcyHS47!T!j9#!=h7AlttZZ}Q6sH=vtoQ!{Yo zWP(>#dw^0;%Xc?PUeAr-g%=jqn#{Vs9l?vc5zd+9V8OJyB9$NW?2f#vGDB$(u>J`N zh$7;A0Ua=B7)9Yte)A#NA+B%a7y(Q>yn*M#4;R!M_*n%vz<2sw&c!ndx7~H%`7~~u z-Z;qI8h3MiEdgw~oYxAv7hFkh!9${5^bPhHIR0jDs{GKoBLg$=$1e-S_0R6?kG;^v z#w)gUNA5h#7rOsq!d>PZ810i7^-gb$zi*-=xq84ys}_IjWNMw>{zJT_Q|X{rt=30$ zye$_e*>2=?^f3DR{&)+*hGso&zf6NE-6{hn_go->*v9Oin)4 zih^LjNx?TG6cazFe)4xd^THz9kBs)}5*`)HiXs=+rP^4t{2+K{8f!7K;)go_qmb-q z`I5BjCs9uQlKYd=n}`7MyR30yroGX>oW{dwW4 zKhUd_tB(o69?2HSUtHZDR-3cphIsO!McS6_ZtC9({waPfoW>ZU!490JY^c^6*cLGza+#o{aqN{*^NWq)6LJ>S4b$M(1GYgoJAKe$(n9$oeKKb~ht@?#*W~dh492_p^AL*pO zr=B{VYc2h$n1AiPqBv)o(-zfbZ|D=Ygp+&e#rFc^Kx)>NbDcSBI+98)Svq6{)qCs- zt7)N$b|GC_^auW9zdhh{SzaP;n-|F;g@HXdLdQNGR|7NrpUH$VU=CqE9`MH{6D%4} zU#VtHI&FKS-VGT$tZ1{}4V%U$r0H!o!06g`hTM&IoU$Scoyps~jP5zj*80(FXgvK? zZWwQv)c*AOU_L!bWU2K)I9!QEKJvAy@^CmPP&r}L@z5FUTb z_3+o)64DK~@W>O-cryND=Mfoc#?G4Ei@vmfLZy#sz+~eawv6cqMYuS(;!d@7E6nCi z|JW#UQnp_Mi##a~3F1%g-}l$7=Ypz?9tY1(T+eED=y>BjzP#}B`YPl@O0E@UER=@` z0d$AOW6zkK!VZ#Q<*v50dxQH^_a{z`88cFp-hj#Uj`TiXY*#?#EJgOFVzBU601;JD z=XoZ90t_8K78r-(J_6AM$!B?!re$u+G>%SanTj_fHG^cZa74-IO%4A$RoKkj+H>7j zuaAD<(Y&c3f5ry;ByntIe`A;Z7AM@T%tTgKg&7}(_k3P>Uv63MN$kNR?~3Q8E?A4?a`re443>PRIKc1Dxc=5E&!SPFuDUKCPH^+(`Oh2}5zA6|Y9 zKfsgfs!vJ=w%=zdelx}vYvDe{AvwH7FHw+AUSX%N^MK(eAZffjy2@VmSUtjnB#c_Y zx2Ls#yf-5&cwUenXPIXE#D-Swoj*XcmO@7461N5;Y}bv!l(CRXiH{j~#;yp_d2zzo%>W-{7nLFC@{9O_@dY z8?IwrD3ll4^O89`5=xp>ukDYf-#R$3TVLP&z1v=dc!s)O+qvxSFdpGv$aiybs3#Nf zN~rCIkLp`O6G~=7VsHSHIC1OkaM8W{srW6&?r?FkY22=v-Wo$uLH8aIcR_>#L`;I8L73)@YQql?^$zRS9LxwfZ+ z*u<5t(o>`KYM<99Y%!0?Vc(EZZ8^31J?$I^QnpVPWR49XLk7;T7ZG7$@wdhDA#zi*5$)m>&i_sVY{{o2-k`ik)`wDg!TCFxjv`&_NY~Vu^p2Iu z&u>TYj^|KHS?F!?^$C!CSAM(zr2nf|@?w9sZ7i+zmiLked%Czn+mkTjz+{Dt+fS%9u@*zIx)lM`>6@q0uPxEp) zLE10W`Z;aWBW-`h*D|V}fjCv5E0*$%8FT^n*kx;5g0MG}4uf1ZuL&m~UHggv>) z*G<377&rMAUxOMq_rk7JotH05Ax>gj2b1&}o?;6%sR6gA4|_(oLY8=_#XTEs-1-o* z@xB{nmE*hSR{w83MPr&wljeA5 zlp{@x<%{OMcR6?1X|vZaf!L)4r;;xB@I??G;R@Bvb9l$OaJfM0&V&sKRjL z+8cFq2JwTwky-_RO-MD@m?Eu$bGjR><}tjo%(Y4W6K+HodKt0V$kSR$E8zBi{3&^8 zTD&z^R35pd{^2zpno$~iG|V#E8?|Ju24x+}ruqw+7QV-lji-5nz&-hJiwD#7V|l%SPvRvvS&M^k>rwWa{NvAGW?bCS&ih* zO|gLEw+nH`3i6#8l?@E0$neARi|t9aKwX*77KHl;W1bz97((`!`*?(M3GnzQS4Ser zQ)eUQyQG01iuyC&JW)J~DJs}5d3q+NpzR&d)@I9Q$Nq|`)LiW-xKmQXfd<%a z)395vi7~=(3;f7JNow^4rBU9`+rCl>Z{vBlCq02jBOSEv5E^mh!Wg-*hA_bF8 z#9{=r>KEzDmW3w8zdDg~Iq+vwQ@VotKOGwU7a$^gIQS8;SKZrL)A#wV*2zhcgsPslfT*QY%{zS#05k;pwtcp7jU=o%~#J2fue zA>c#^l`QqNQjgtSv^}39sqe{w)d@SmcD5iCX~i`-x5JQ9=9{O@twTy>jDUO5?XWYZ z`av*u2G3%`{L3J*%-ffxa{qlgF{WW?^NRGMtN{0f;a%b61gHV{47Ja?Y^RNw?F+p5 zT+;B22Imcffg<3)0Cp1t|iS?av{ECx#ks(U%O*%j|hsCk%@bT`}L z)4uW5Q_lI8ZrViJ8O^Sm5Dsw;B)AxH#(Kf~x%nMhct$_)XnZ0|4H!iH!50|96r+{N zt5X)uQ(IFwTvD<(PRWf>U1;ku!usxMqpjUx`-028PJATyfXv&c?-wb+TVTOs&K{kvs9T*|uSKuwaS}ij(6bv@_cy zH_1LpLx9cuO?9#3TzS$q)1b-PIeTSE!4OCV#cc8L4TGI=Ci-A9hfNn|PqE-Xe@c@u zyGU~?=J6ga)OE-&l|)~f;!cqr6|BxAkW}IHTjhx&_IXbF^7^hi&n5W=LD7L89_cpEKSaW&FyveTj_MX zL#j(18N{K7h{`-jUE`b>NJ?D@z3}p>d6&;_zi0;6S6~Lg{ z!Qa&&yNa8fC_S^5er{a!W&P9>ZfSYgLz;d&vU_9l^xSvGDXJuomHCIqNd9+#GkrP- z#mwq z^d*1%5nPz$kD1pDnNFlJ^6KrI>uq^3!Vr>{==q@8Ir#OhImM*VztWO)rT>&F{qYE` zq@iMgBQsFF>7FA)VMBMl$dz|*gA#*d zZTZ5F{Si(wH;77?$(@FM{1SXfbJ|MhCqd0Q^QSLiTP5n;Arr**TZHnee%r?(fh05& zcw-b9VKS5l+M)rf!)RVZCtdO5s_m3ALOyk^PQr(WBmQsfB9R%K8H0j)_h--0xfdz# zz2||-6jClsO22wr&;KvoEI(Blm8~m*oVU}#2!@aN1;Xshd*SDTV_3P(K4H6U7)$Pnrke-hY;*$ zA<>=RrfK0Oqp0j0u;@iBQY6zg-}vfajzO^G(xqA>#tPxT53grasb3Kwz_GQW7~U$k zw9F9+t$!>ndOH*}phQ(p^JV1JHYDNtYPOZ@hZ`!uOZcvrjuOdH9}wE7lwNsX+F|ZR zYj?VHt#KBn;gL6pI>~jzPg~ndnwVGb?9bkzi;9|^oPWvmX=Ji@LUx9}>&yS%wR1FO z27$qmpuISlj_Vg87bNAZ-v&G>J__f^JNP->jZJeVoi`cs-*JSQ%*)2=+w7^9u_kIzII5957x?Znnu*b-IKQexaZfA919f^va+ zfs#F?mtKE#Q>l2yA=t1P!ymX0U$$`vn^OsNYlXYj$O8j}L(;btr`VNgN#<&`!hfh4 zsU=g^2mj+1grW-U_c!r750O|hu;sWhx(P$W)PC?E189aedx8izpL}9K!nfIb2pP=7 zKk`md$HOq}Wi>>FM3ssmw4VfWNXk6m1a(BRmk6{^*XBT%y#7B+HaxqN|B8B%B$TJ{ zt0wnjjo!>qrymuR-vb^D#$fhRtwIQ{6gq3Mt+Hh&>fn=2;K+HGsN-$RFMc)V8)A=&Nzj`7T6kOD?iTTU@;Xgoec$OGec7Qd02Q&Ubr7>8Q*^_c~$s%>FDDg>(+4T-@gS{Fy>R|?>jnd z-O5E{_Wu133!NCnesC`}L+de;P@JpZtETkw{q9fJHTApo{f{3qx%eV7)h5v~PzUNO z32~F$JEZuSRX|4a<6a)j_=|gWp%d-v82RWSXXn_hY_lloD=AMHu~}c2S)s&etNlBl z$&GVd&L((lDSXc6)7u`|zgtQI?`-DTKo7rexM3~0qp%HY$@z1OC3Jig_R_ROVCdKQ z4~Wv=6XC^7_iQyIAs;@=;-k56^iSvK0`f(0$5(dIiW=o=Ty$P|FVOgd(BV7wmW8bc z&SWc;$yoliW91iF7{2M|p3AGG2t`Egus03fOLLdF0;#u%{+B-wJo2V_M6N|9)YIo> zO^(}1x@XhO3;(YDQa#n5rulOjM%j6FTXN&Ixo<{6@e%Gr&M7H#8QsMvPYmn{WTsM@ zBA2sMteIN7mtsaN7rToh+6!8ajJcgV|Fd6%CnO~X<4C53^TMJMm=)mE>Mop3cn4oyVaj;J6T^C=zvxht)(82JrFhzg66wD7M_uUQmw=psWOxJE6H9r-{ zq2Ix8bFZ4y;nL-&=is380qSXiFx_p$E7Yx2-J=oGVpFmhwDjTC)aB@kow~QTGcq|V zk3(Pyx#}GcI(iN{?Do8?3@?Lu@9*bE%YP%Co<@C5tWW$h;MX&>Bx+#5x;5m}Rqv#y zQFC${o})7_ny-Ay^SuuK9}ej%qIOJi*{|?0@4m^vSU9dLDuLBk>7YFqk{j+xYZ~7p zx?dzBLGdPS{CYJ-Y&Mxzi2!4n^T~_ny|MN(l?c3qpb-`M841*q_}=+GJzTNi&v5B` zU*D3jC|}rS{%C29r^HUfKc+~?u>hdt8f&CYnvKJx{}sEnAOdGSOwB-m((6)sy9pxO zR2bW8qw8}J3W!)0;i|nsf>O58qaO9mdAf+SXe=O79uE3WnY+E)>oNF|U4%TB@DLON zUUkzo%j&t1uPeTR&#vGy^0#3vtI;g0>G5bB82)uT(d~%UHmMnIJVmtR__yED1@IgA zo}+L#OtoMdmWkwr5Z76(FkkOZ)P2 z^!VeG>C3$ZbdI=+xdXkT1WQu6F7pXY{F&4;d5uXC#jAgfSBmV}{p}}7{05KT2P7Z* z8wE=os!ie?nX_)!jul(t6ZfJ{E-sA&nJLSN$9aOqy}DP{8SP%h0edFu%a>Mp8a5DZ z+UBAd?y&nDX}~8WYX(2-NW(mT`GB3YylWX@Erg)JF#NNf=GxPX^{9kLOf>-2zx{wL z!QBdZ_ij2$KY1=nH+>jrPl$+UWP5*6c?3g@L}BoMbz!)P&AIEa-)7t)=D{#0!YC3%t-g1J379I6}=h1Q${s^Xv7fF;XJ4WFVO2^0M63!D? zzu3je3cv*)z;_VaZkmrD$o>6gvogT#<9ZSa0muh1i>fQKrc?P5uQkBaO0;peXa;k9 zA%C_oIC!l$O*7%B`%~xd1`)UqlmlV2yM(8WJFk)2W&9WKA&=`@-w~V-)_QdpI{8LU zT?60xN0IOS0C(; zWqz?sk`>@WUomDcd5u?{|D_|-2MNN3yI1+Ux_nxdTV)kD!68FtXJc1)T<$|`feYMY z=>?y)`n-cC-%y(1%+B&C(DGSKox7+dlYdiw4Xx_li-=K3(Vq`}zF>y)Le)QHy?=0$ z4L&R2_p97ziyL9Tf!LdUjj3L@gAJe6HY_|SUHiwuZ%ZuyyGy^cX7b2Rg#_mbDugAn zdwmsS)i8o0W|thQp6Y#Xj4%oBaFh?3@2wENxK@j*kiDf2gY|&{63Fo0=>MbZtb?jr z!*EYaZW<9bASEdw-AIRYH;71gH%e@2X(dIvOS;)00#ef59nu0K+;5*7Gk50RnZx>dP9>}KwyYU;|T!B0pv!tHu!;a~4FT0c4e zi1M8sbC_U>` z9cEd-_K9nTD*9}+EQDh@BYW`T89!5NY{2?|l;loKTM}q>LtEi_T6e#G^KJ!>7 zCMHTPG&tS>DJ5_cocT(x1f1i+VffZ3tKC4u(z1=0qQJnXHsUMzZSdm$dm8Q6EahQt zci|o04gMIo{096s_u$m++|A~1|BLusfqhpvY^GBJpV@|VuiyVq17l@Jj`ZJ_W$-jI zz%&-+iv>JEhR<)Zk4%w)PdZEGUFYjQY+%ss0>+GPpmMfdXm}0;M8HK`-*W`6&FB7R z2e@w2lGwpzs9OA$;@YPzwXPtHFsC>p#dNE0zDvI@gD;r5zoA45_f05HR{H+Ov8S}( zU%_J6yteL7?L$`*W-b%^p=vt6FS;z1axzE4tWp*!j3(d&8R+LNz>yocQF(&z1ArV; zzxIt{^8%2(BWO4Az-doFtR=hzBxWUfHs>ni{YXpM9u?2^TWC(GTwg(5opasjr)2KOm72}@ zJ}YZ)Aks}~oU*GwoUe}tzD1){mK3GiKfgz(D~yJgoPbId2|a%L7t{2S_;{Hzj)e& z**=!TrN3PN>zoB9p2roj=FN!J%hlEcodNo(B!WGX<<}Z`>uEJOAvMw5kLfz79I>;mV2Yd&lISH@dNkJmHkG2j^>$NHK=C=F-`U*U zEPA~f3LsK|iC~`5m?7v&2fRM1Ghk)g{geZ@OO|L_YFkljuC)Pf;uuS6AZw6M_G$ZN z=VTwrk7|C~=U}Mh)tHj0(KU8sgxK53W8QrM9|^oQkm#>e==RnhSoH*14kQR6`9q ziOVfzq>YV{s}rb&glVbW&+U8f4^rO0pEz9l!v#*Z83 zz*r7wADVW}Ky6$!F}D~emzN6^_71bv-KDWWjXYLi)TnvT-`D2~Ecw7RVeh*H02zxO z6Do&Gt$L8h$_$<YHKG?odJAE8~`gUOihPj5hDzMzzg;jD6Ipo*I=7FJ3MarB_}u1 z_+o%9#DG|(z|{jN6oYnufs8psbBK{hk*X*2qGiium1fV-Xz)wEAR76k55e!>0Xd-C zc=Nj_*dvhEnEB@QIDMe?CK0Rgy*=ho+rH&!HymjgfV(*8Z722+jx z{v!0Fd5-QSvC03gx4&fF1t{haE+XJUu;8UIsJ9~p+PIBq&W=^!FKH;N0IJr6)YR{Q za{=Hkxj-z4upOm7O#$4Y%TyCtV(xPG%MAYKi+mNJLxe;{1>#V)N875TNI;Cu?9h&_5I zJ%ckh=dbYU_EVvXY4<|w#YN0P9G;fN`QNc(k(k@zsp;e%bKWseU%eNW0WV@%XTM`pMBe?Z3e}HyN(M zarDy?sZ-LrB9>{D28pBWjIV!CuyD^c_3gqj2(`l6$^Ou~8o{_EHC!})(mwzk1dlW~ceBAvi@)+ywD zPpOx&?)MG7`rNJOuT%Ymy$_gY%0|$MYE$!Gw7;loRx~FDy@IZ%xB)pQ?N&DlI6{lu zJ2bjS;xJ8QVkf8Xwen8PTI49H0g*4r3-&>^=elkZ&E+t*3M^`w&%<*!TM&x|tdToF zKqyFk0RKK*Y@YaBs9;BkAuW!SO&xo3kCTCfr?4YE)BB?taT(9)O zw!SdH%ePtH*g^5R`O1vC4;D&Z?u{d&qw(_`F9VJDWr4OqAU{wKApskzm~dVk%~ht= zkHui2lvK4(IU;89dxO_ODjF<9Ij>#0;Jhp97uUi;PsmJvvdo$6#^yp_zz*qiHZZSqrnD}4aXYj=#uhb_r91JZI}|BXs4k33Iy?tb09#y_kxOuBlm z6eiukfjYJ;jdFosMFyCiVoMp6uUSWmn8H4GGf#EdOuDbG3WCPDWUl)7*FM~@c{FL~ zS&WH8f;v!Yz@Gr-tYpLGjzE9lAvt`d#ZZq~x1(NgCRK3u#kX$Yn`0fOK;u(zDy|Of zHy_D1I@W%fKeJY9rH9hOp`ich2~*b+&HO`7Sp`d48GVZKR}EY8 z*mP1|+%_}G-ym9GmJ5!K7GCo65O zLaBH2J7^QfcpJ^g!)#DFj>tLtS z&BPG^nk1`gJHrMJ`Z^w!gh{%Kx1(!1e9B8p(zY{BEGijo@1@q{{BHfce)}TjX_%e! z8;HV$>R)5(RgKDhV2fOLuhMh%v5;VJLJ7xiiSexG+e$1N-Z0K)S#PqH)G8ZIeMtNH z52qo)Yk<<*1P6(OTws2x1FBg`VY^4Epx}cO@=V3_8G{Ulv=W0AxL4Q9{=Z$fe?9@c zG=$d$@nZvwZY(S;2xH|4udHS?*X}TUumESCjYNrp&o68wt3y85g0(E~j%B&wRhLi9vu^GGQkwUSZQIb&cNy+aO{v`QUe`Y%0H7r;m{u%3#TyZyuk`rnSy_Kf?(}$)*|0 zWO9n>V~&wIj9U%3_nm%LVdaw4ozhSturHKoD}4V#bB;eMN^7<;7#Bkt87wE;Wrtc^ z@dO3du07&^fPv_HF+Q({sa?VPI^`;uqxSQ?hN?gEbCF(wU3 z7oyMavz-EX+r$Dn^h7jRv~eBzljE-fdK>#Y>J_2cKZO-@I|!TwoRwcYD&Fi~-XH`J zeSIuG{sIL$W$_xU1w2x8C74Cga6p0KcUlA{6jr%B&$S!iDivCQDn9Qz6e>4{VxWv* z5pgGz!0MmAo;wt}IJJ#1%?a1dP&Hk4z5BP&JYAjsjFYs35?wJv<-t1;#VLE=FvFpX z9pdgTMSc(G|K>;UdKqYNZO%k7RY!K=&DS37`**uWB2Ys9Mcmj|(`f7k@nl!b5OC&V zwo>iDChY0Tg%kf6775ER8rx#WtQC%s(R`vx3Io2)b+E~Ry6+Rh@X~wKk{Om#R=5L zv$3qAl!P`+78-P=$1T^MaR0pLQ(&-2+mf=GTc}v*-b%4VC)2+XAmRA580Z#$G;|Zu z;J)4)GsI%g3qEd0YNPWaYC3c!D&W0V&EStka2C=`{RTcSDcK3#g0+zxo*|5clqFs! zcf?KMNgf-X`e2{5qn?K)SK`6MoLfd4y7I44-S0( z!_$TgcAQQS5V-!%o|m~maFjRZ?yvGQi`g?L@^kAf!U)^uKGCbAQKS#+>dVcoR8@=9 zUw_?&XY~k=(|>(rn3oEA?L4ck$gh@PeAb#PDxYTi^*F(W1sQB1qzMT%fDOikN
zuDW``#QvjjiY8Z^YWOQ*H z^&=O0@Jo@i&6hhRc;S*=hD(=$$&Jz5t}(`X;c-vJxPr|WZ;m?|wm$uu^>Chz`rFD| zYikrP)x8+xesl62-qBIuFy`PUj5=hrj!Op(D8QUqZWu>BQ=II{tZDS$N`Xztm6kEi+l%AKJe z&E0WJ36{bc4NuQT)mMT}(~ahWC6}g$t5kpyN}JQu!{g&C+dM1$=wlOB2Q_3~^aKy) zF9DMiXqsouxH-^g1(h#tmA+d0cUzlx)UorkQxQrfU(K{7Ze=emfz&3I+IY~+`o6Yp zKI|Lqum0qo5>FTV&rt=qxDl@*P-uMjM_6Yt)B5^y;!2W?CVD0-Q@m+?Oq_wI`}ICpnQR&9}U)GB7MAW4b)v z!U-95fNlK=<)HcM-#u2aO1y4Y=CFPKT=CV-9)TRP0561&bCYPG*(zoBMd39rAy;e|E%4SzmFI`WJ z;}FIPOAoX7sdCbVt=`%SZX*{3I-*Y{o1rpOpG!q~a!aMM`|s!pQaZYh2{hgIaOKm$ z5))75KfzQQ1H`NR1Bm2XU;egh46JZHT_4R9`9u2Ui`CturdAkWJV)k_tY3)2kPItQ zfn6JLr8UY-Ucb*zHILKQWu8nC-x6Vax;0o`OT_in+x1(muYy6vm2ANaET;1|xUh+( z(2*c}D^65hu7*I#EelNnO!ZKj|I$Ti4w+!l35Pd0GfxI@|lMnf_$v z=8$n99O-3^U?uuY%;07x$|U8rq`d#&@;W|8CWWwks&IWxzSHA3+2M$W$v|fN22s@Nh&?Lxjtp zI)bWhmhEnHw!NkE&8~jTpw|L5#Bf!pji|)o`%bMOJFBn}Ye?aAk~?(=xr34u715&y zBXsKf%7(#bzucmqbhuDv5dS*;Rje=imDt=0GwW;n%;J+L1qvlx+PP~IRPQ}^*w+YZ#6i*3j0*gR$w1n&NqT8mZbYyQ0*bfQ|3J57E4DEb_f;wIaxMaPC zC}`+u3XjI{Y*QIVq=-=_>u0 zg0Fyx=YB76^S-`WVaEgrj8_0#ooO2dR&hz0L+B1cCL3gF5rv&_vNA@$VN%Dd4&uW6 z8Mk#>EAx>VUU)Lx5v_#Z9{ICplnj z1n0<4A>@zs{r;JAkr<5f#H8AeF%ZeGPYyf*e6*cuBj>G?H86nl1Ng$>H8>0y*OW`z zV2KB)?N%ceeL|37K`m&hPDfMojV0G+^EaiaKKETGst@Mb-ueghsh+YY!!ClYsG=yV z-BSdMy;Hh#y+B;!6SO6MA@?%=+2yB)&bVv8rj+K&IeYS>$FZ%YPBJDlIz&W>$B_Tb zwRET2dNliRp%K5`RPA880_-?cxw*N(`v#@pnKOCx%P>p+Q@Zd{h*u@l&J6hBmtV8DTpOe@bK*HXH@%c z?0b=Ux$4ceku7ZLkLP$1cGr2kA!)ovFzx|E-L6j32%cKy$Lr zJDQu3L5Xmy*R>=~65^)XSS>`POr=_ErC&hP`_@QDEmZWZSn##>+G=;8tRzZp?HQ=` zE;d4JPf~Gtv81c~xYn6I9PincvC3k0w|3IhW5TWf3T#|1usx1=DhA^NJ=mY!p=v|m zuZtvh*{?nW$QOM8?nG?yZa+&LCcQB7ckRcL^faOA;D4VpvugOHykl}C6vie!RL{!H zc!?PxOz=WABv_ifo{UbUX}(m6n*v=cNcd-4=PO&#V5mS>`{Qh<^$b1hrTpvEk{HDL zhesy;PRQ^E2Te)ChC9g-o@50(f};BtK=&I20F4`P$OrHP`sL;6_vUv#Hw-@Q7N^is z`~FPnyc%-wPZK-DDymh>ee4&&*AeDBAmkGFOe~PzdW0SMi){20pQf2u5(Oef zlfIJm6M(W{eEKv5w4nZjzmEd!GALVVw?jx;^HS^;%2Ueuzv}+gkEk)(65@@P_Wo0= zTzF&XMm3Exx)ym^z5WsmyFy1!x*AtWHxc*Wn(M{dLg3xE-=a$BKcVxf{=)pl0dS&Z zsAj5=5tXv5D=RF%4O21{1D}v+aTGBNm=Oo%GvIuT9I9$Q;!5kT^VV-J6otKYE!MmN z!xk5%}3kRKPe!x5{X4!>Bf(Lr}3!fpZRR9um)SR zg0=bLnHZ4p64q;W%flDkjSgH|7ZT3#>@jF#pu%@hVUuU#;?He}{??YMBq~(mWD4($ z#psr80W8AqWj*h|h+bRrL*|@EjC~fvevqj&ShIcfPIdWBgn23Z#-6Rxv!hyH*uvxP zKY1!W)l=%^_bQ;Bgl;Hi*)cnCOaFMhIE6i+*fJ%IR>4&tuyWf!DyKDk(f0dQx^?)X zNEe9l`@!ap<2#cI?Hgb! zC5bg^kqZA?8$Q@e+a&npYP$L4;2a3J;(L~&B`aJzsJs%5@-2H4j~rAL`jzw6>tG@i z0+svj=m5DZ3c7KEDc8tI!x`=G8okRABh^Y8@GS-w@*kkfcYRRR3CNAr>;R`B0XQWt zg)E7N?}bKlE9z5*OROX(Km4gq7X0P|G0~zeXlof{Y$mEXeB-MB5i7XE%5P=I3XD3{ zTi$T>aJWTzh+gk`0l7@ijP!7=e9Kt7;>~*Nix=2D3Y@Rx-@Si^T+cr9hDx?-bZa%& z8dS9UyGLO#d{1zG9`Fp;+JROA?=%8l2RLeFiVOeOCb=L~UasAet9fJ2wV69(oi{GX zzq%GBc+q+{1Fgv18VhoeEo;r(7{eINoq(l07$LO;6t7@71w7f8d>S!l+4ScX88Cze z-2A{pNNWP%*a|L@lz4}5(Fyu6sK*LHHZ z%fT3bDreD`F@`OnSw);CWDzD*>)gCx)NIK`9wp?n zYYSAA?@{~-NH2^3dwq>E_k{q(oe7|~0_%6iE|&S4A$Sp@LtL)1>jYi>pRF#gszMgeS1BQmzpHNUOJ4%{;*U|UYB82` zx03<9Z%(U%7R8{i^4aQaTFF&kOf@@Q(R5j3aq<0!_+b3-uU81_$qXysu}~(L1&VXW z%`<>oahU%W3C5ar0KA`mtP4JEvj%!|F)hz_pcLh(nq3TXI5=532V*TB+4A8Bw}!vw zpp^!BF&Nk04SRu&OfOCR&qqk@@M3Nq9xV{_oO%ji!5i>Uq4V-?sxJ)l$kghY5<2QT zUzs~H^0?!GPdob4j=t8W*0k&ljs%5F`B;hcKmZfk-1=N}5EWfFVN z^)=I#Qw%KRhfj$_6I&WCRaqMOV1k7BzNRKUxo#@E3DAB#FTnaYU5hFVGzTv1k#2bp zH%_jq9>+1gDrmY!0ZJ>IUvIva4Fi{j;7cgrMI`}Ja1211QGx@wiT4t)n_-8egm#~j zax&DXu|~s(kXiV+f7)Xy)SN+Ep3USwPZ)fw&FT$YI6p?!o^t+C82$hUPO$L6)opYE z(e3LiD#@B<2HXdsgt$hzzMVYb3GTtu9s+Y9TZayazHc4O0$w*G`at7@{K85`#;r$^ ziUD{2URKWmZ-!4kHa-;h$&0Y$WD++wHv%b_!&z?72hrYVgk@AoTjy_SDz$IX6MQC zy(ht6)op+>Q(URwJECopNc1CwByyO@} z@)>Y^rXZx%Zl68AZ)rU}Z-|JNQJ(U9p@@qQBg7qa%@j{Q(z!lKwXpI(hnD_BLVr58 z=kC(zI$Qsu5|`z#KI3Y|z@!kV#qa9cR)0(8<+V=Uzba1pu?jDj5vkMJEOSp zK0ijiij<}?)9Q8ey5i_3uidib+Rt^R`A{x4o-c7IG?dTx2$|elix`MIJ(W5S)T)>m zCBlL4$tk*dm?hAZZF8GyYqJC&A(8b2)9sdNAgkBp0IS^Htup@s0n0&0N8jAsOuk7p zHZ%V0zH9lX!O5x6w+wO#O;_G2Deuem9ib(E{=T8G8JvR`Dw{*!Aqyb6&{~mVF)f#5 ze;QT}T`Kf=evz(z=>`4SBF!S&=_Vo71z*bZbqaBhXbC4^7iq%{u^5J}RhG6FpxRS{ zwG6|TfDstJ5B*C>Ek60*Bfu^`6@mfensJlMI{-2T1n5C%1fkRqAy9CWjarZrt)$a` zpc29#%j`d~8_iYPiqqVS8`qCfO*7d)Pw!d=T>yk)_0@(oDCcOw9cN}0mIrqJl8$Yjy<{<|1t9 zbJvf!cGr5OUf%veH7A^jFK4h|7TmT5aCrdt^gTAG2VO@jAJ_KEZoi7;vB?*e4D>6k z;Ys>uu9(0$QNQ}O1C(O%91D@t=9{Uhm!DnL?30yt=B!lx#F*a_bZ7Hru7omtjo{Wp6_16<>{7Pg;vG zk5K@J-={hFLawfm;~=lK`)Dn#FDlYQ^h3_XZN&jOZXZn-8( zN~xn zptQsa9+f@-P!TZ=&8RYGdoMV3jshsZFHrMDMn`Xe*1LP^6HxCHd>!06|FW40XNS#c zn<94SDr4_n+K@(XVqx!Fh(u?@?xg|3v;j15sqM7{Ckr?(w=`qdJ*aHPrqV)H`lCMz zL&%Q zuWG-d00T2tfR97G8DLZV_3M`pUxJ!!Dy19`{s^A|b@5QbyXXzxTgPQTjT} zaX_+0bF&*GM&-R|duMJ4d&-D(6RL)aYJx5OWUgHN9y|#rT+Wm~!IGqjJ3G8uaYQZqyP3O>NJ=~64BDepR%;sg?xM6bdJ-@ zpeu_WG(;?%*Y9N&@E;LGc!1}&s-yvIe!yuR1O@e6XRrha?Rx_>a|oh$We{Urw`hL3 zwx4c^Qcp_nqyeO^FqljY@`8aopIl6308?j?qA&}0o((o3;t@{ClTY<(k9XnCLl7R zDf$2h=N}>}DwE?K1niiRv9FR}0^oSR$2@_98Ea&GyfuhK0)a0zZw3-y%ygc9r)&lg zS5SSU128ZmDhFuEBEZM3Xi+>WI@;>%F-1=zQY-d3UiZ!V7!g%P)s6d?(t>jb#usNn zU7PJwTMY0s3-wGqJm(M*aSz}5^u7$W8XI>yq~8!n>72J$1?R2|2wx6=>tlRRQa4#s z>mO@xA~)x|Sk|kHi!o#6w2pVc)E9(_WGqblKc#+bOQx9JfL;lv{N(Nae>l9`L4mqZ z+GYlis9j9T<1$vY)JmbXY9gv|;3c!*A`$9+_RnffZ#+|4e#Dg>Ka`dxZ~U7YA1&w{ zbAq#oI_A6eR*jFoM0b=u)m4&5^QAQQSJ{^HoP{l8#LlrB#}K|8ty)n?K9#xiyy>J8 zAABRC^=Dj57*sV?p%O2X?5Yt&0t5sMawMf@WZ3H&ffo`8B71sz%2Q$C;jRF4?$$U2 zf)W5|8Zb_^SxEs=Z(}=SD7ZEYi0_D>8M9EPCMD6Me+_L)L|VB2<-2`Ef=wz#KDJk< zUb3$@M6GpkvDFrB6)DZ+2dPRPIWMjCsl>&P$Lxt`$P@2G1+&lVnbi$pe5y~SIbe&W zLCW*v-5y`ARCZ0N8nQl{9za^0zUG%|Gyc0Yi4MN(1Be?=(G706MxGo{0v7-Bw4(r6 zM<7%~uyiT;9n5>eus{HX%SNm~YIDbb8oSycI~A9LO1G(q6jE#u1R)`8QpnOCPw%}_JbYsX)nY)jE0}F6@t^M_1{v4f~5=qx3GrC zP-qMQ1p~03?hvPGo5H`_t!T6YO)%hAL9zi~3;8(c8Y0?F52|Db30*eUYu?Z12F*l| zmRBAv`)Ol5X(L+9+RQ201%F%E$+Px^CYwYQpxDTti=Li3D=gwFJ`j9%#$Hr%UdUJ_ ztE>od19lCKoTH~^_Fs%%i7j_lRcH;Zn+zW=)!iH%n%N{%08W)k;O~7gA7lJvsH)Sl zL*jo2sHxuOxi?f{|3?}4j#fGX38a}ID1aa+tFD#f4#8=|o0oeFXO(nUcnGg&VOX=8&u zez1)ck9xUr7kvV*^q;|FH&bd#XVN|R>|)8lUjVlL3H@#QXGKS=e)5#=(KTudnY8?++9>U%A|E9wW)yveLKt^5T# zonuV`yvHgL{$xxLiE!uBo7x3e6u;1fBA^olPPF%diw0*d)^}p|svdgZ0TATX5~ElYxIGXahD%rY2`JanfPx~V*oo$rnE!DV_Gys6Z^ZR ztxppR;uMD$YWM8=JK4x)=Gt6mwyg6c&r>_3_{P9RtAoKa4+x?AD-(=Py)=ALvBPVC)rSF0M2fF&$wLZN%u?V3L<4+bZ752{?}eTgl#UOo z({b0Mf)GwTwouC*L0uVFoj!}fpdU&Y^-R1KK0ay{S9SS>tgLRwV`uZyENz!%ENN?O zjSZ`*x|KNBW0aR|Cx37<2gPNJ^_Xcc|6!`tyNA1($Y6HYY$O4B78dTV60mF|>>3Gz z1VvGB08MoVLfN4Q02#Fa=@D&bgKS=m-Kmp-7pbDKsXtI*y7rjo>*|iGVJ2|GA)Po~ z@c^LB%BQhmy*CA4BWh~G5O-MWpPb?KJ?E>ZXm=}kvE)l-H50cS(Vs=$p8dWFKGpU= zb6ttYy2SP@5%UcH_O1TSo4Z)4++5#t0h3fO1z=~#1&u?{`PxDxaUkN40L>UdWYw)S z9sm;5U7&{J_)a@M$j7x){d&|Q1b$ogfpt_!^ek!5xy{iOdOlWL*Sj{Sj1GEFOtQlC zf$8B~TO+9)q@-+dmF73&TS%{d3uOUC40sVafaBB^$lQ>=ex>ePSnwPe1oGP9Rc%)v zkeC6e@sGMdt%-<%8A{{asT&pF0N3JO$U^kkk|js4LKKD^Vz~n?9l}yzxiL`L7M?sf z=LVfk5m?GZ+{;^T^_G_t$o!7$dlsxJdb?<@2;)fGnBo>g{mx>MW48*a52JYV2& z*f=^We1)Or?UN1!gluzCueY_=9T1+M3kMmGWZcCBg-Y2>KTk3#@ZCbz?+g-aTzacS zIu1CpKQ96k7r=0O!OOx22wFh3W(_Pt{OBoz@Oli; ze4ywqS+CYAQhfy!IbcqH3Tkm4z+OfINOkU8+Ph5g^Oqprn<#Jgkw08iK2N zTv0w%h^&Jt$2}_G;0hbg5VX`c!0e`!pneT-GNu%y%GAfNWJ2sw#XCgqsdmmsiT9rj z9xR!roo_kFV4}*$w?oLW@Y-YjF8vU*aT!f%Fa!<)V(G)>_6z`DM}#aJD$N0yzqiNl z0L;9Yxw1t=wa(;McK!~Z z+-K#FYQ=g(MO zU?QxjqT<;AR;mT>J{N^bNpvYsdAT}sWic%M&pRsV7k|SDLM;4^%fs0ay?jMrCgdVT{3@-fh+^MmQGh8YX@Q6b-YjHec z?gN;FWc`GBvCVHyD(w5(I!5sWRpa*4rWt#s&A3Gwk#TVPIgBNJMn}=&BB)cnJ8MjPaiuDNjY=9I6hd)R2pUK zSqZ(t_v(cYU%m!7t&!GAho4YMPl--t~q0!tn?Rs%73iT8Z% zjr8FviqI!DcffazHe$jC*P5D2;Jf#Z7jrBkxDOmz5|jjhOF#Il68eu zI@hb96JPlpTndN~Rs|>3DAgj=SIFoC0|RXrzmyR%42ZdiiksV&(el9|8EhMERtH~> zd*ef*m)?7g09FzRc6iUaSb53qpx3aF=oK3#>ZCJ(%9d#yGP_={l;E101rmf{2?%UV zPp?hcjV7=!b|QFufa2&8|Bx`DZ)U1C<<%$aFfof>o>Z~K?;)MJ?4BkkukjGA+=RHpU# z$+6jc=AOCg_c3oJ3Q9q<2iR9ntGx0Aurcbfc1k)_N*7b}gp%ANXo!N4%mW^QW^Bsg zp;&(5JqokU{HD%LJDAfvQ5|;Q{r!8CCit!!RHv^BE za+!j}GUa@OE>NkCbVfGnS)< zlI`<_f85qNo>&sY4VMZhF#I;p+nPv88T;P4V{WJhFd?p6>UMKgeeCSiNKPV^nXb1c zIgv!C?pYoiX?ZKC{Ea=#6azV-h7105k4%@VHf8D&yQ-(*l`n92ntqIPl0 z0!??J&-Ic;t#91JDw->6rFWpZ@FeS*YBxMx#TvHQSRo~$d)4BIBGnS@jbqcCuV39s z$g=8{p(D#5yZ-lByqbRPzP^lPDYM<30MjY1%r84ti|Dzz3F{42KmxvhT+aiSx^5p z1rUl50#L&G*b06D~0l_cnDBAbT{t*x{50_%5H9jWcjt=A2^R6VHI5eimcj-fg#2*VmxAhAjX-Awc21&p#!klv z`TZek_gF0`C(dYVN2N$hY8w zQ=K=(oTEU*qN94)w=Pr;dWi)Rk5UfUa5DOG8BZ^%rYJP|EwPkXDn(xl6)E)RnH@3! z$tSR=wt4vn)c^J7718vn-nt_Ly#mA;;J+^(V^EA~PH4OubZyPM^}jEklraYc83b+) zj8r!J)f4qw@RB8E_>&`nmLZv|jans~O|iO60=O^S#mbRbx+CBBpznze#61zUe-Y6meZ6p`934fc_ zg|5EoNjz+9A|dZ%HY8y0l$}-sEe!We;qtq2c^ZR%oMEdy;W*%k7lR0w1N&yFg6T4M z*x33u*@q%)dS0iuqZWn3j{3d1sAtgkEbp6|nh3HuaMVWSyqv29W{-u+2Sj0p6?g^b zL;^2e`LDxXhH^mm{zM6u`{>V+gd|4ERlMmArNX*m=}eC)Q(#lD^xk(OVJ4q29Qj
u1G{<*f?*XCHx({qAN+2Wv;aUTk10LXu$C?-@)R~)OMoEH= z?z9ckDMVp@kG6%-w6NOO*OOUs_*+pl*-16+I1J}Zv|h3(0w46^(HD=HnUT6M#MJgJ zMOGQAIv{wuD6GW2l^=v40XsbAd1^vK13(4_=NCM@lgj<7n3QJnU(JPhzn?vOCR`_? zi1*PFB6n*4NWIU(sy}5kbl?A6DRs22y(*mmwr#WJXH{j++ohqkEG{p@lHuwtfSyl| zi=L)Mgl-UM`WQw1r-RxYL^AC*?zGhO0MmkDt=9vIjxJ(tW9dJOZ{ob8&s1%SMtPYW-A3 zgd?&I3_!MP8_)KAVV<-|1q@`a z6*uaX=}vuNOx*uEVWp++g3Tq%3Mb`EvxlXiaxA3j6dWCuRXC7+1Q3cDP40pgW0tHP zQ?DqRcC!0y3%`{+e)VRdd@~+u>I9p5TN2W&et@ko$CmWH%9y7KdHoEGop_q9)mgMX zFppO4-0j3LqzOSa`AE`Z(vp9N1^AR_#KB15-#;q%^W>)N%tchBLdoPI>3AJNSRA#k zu2FC9KgJ87*z2>jjuzBrRT&?bv!wM4Y(VX^Krc9tk<&lVXCdz!rfd-sFR6pcqX`N5 zgF_OHlY%*Xe4Z*qlc;WntHV@OJbiy>tZiDz{Vi5s-(weV{3773{_pEFNoQva1*7C| zg{>b2BQp=%Ls-INpEM4^2Qj3nF{HU!b^1^Ma0~pct3IQ-9oXkc!_tf98G^i*dhNTr zwZ&Yq!!%X!cg|qWYhfn&X+yc&Bx~d?JRv&3LkP(VQ879qDJeFXaYe#ME=5{r6X(@x z__OjS&JiYaYH-d$D7q5oWsa!m6DNh;+=kEbsy;~9&p!_D;q5J{vslgrMJt2^wk-tH zIf16bl2xc*#>V~=>QGVwryWz$lC~|&S-Zi7{?+EO{7(2SyP~42k1&0XweBJMYOa$8 z?vcKL8+tl@iWQgA76ao*H?UvMG?HGzp-G%tbfBdo$Y=Ou6{OxFvOO7rs;WZQ{&Eh; zFtQxudgVaI3+SnCm`Q;FC^m1pAIamQFH>*zm1K4e@U*%g-_0QLMh2EBF)}d{4b;bKRbkTvUJ!zwIs-d< z4A@V`KuY`mR9Qa=5q(2+XsD_&?)z=tg9MvTTzvX{clHM>=}7bB+Os_!^hUd%Lf@Fk z`+luh(b|^naB-hnUL6L0+Q4#ly}$DYhpc{c=5K~YlhtRDc-6OVdySQ9l7CM57xYMf ze!bUpdLhrTsXl51Z+kchkuwnp3k3}b)+SO@r`l&OvYEn{v;ac^C^hQp-UxVvf*q~u zC3GZ1ARc(tUIbjbi2pt0F%3ACef|11qG|Q{bA#UON5Py-&68zThu5X+X7}8UA6((SamI)q5Um1jBB>OqFJu?dBOQlV^HaF$Z?v?V}umR(^K%0zg&H&^Il$4(RD<9V6>I{ zv;2)@kTuUC*~%aal?3|qI!aKT4B_K-A6GUSOsB4JVi`2F6pbtPI(4N#%WNAr z_n27EO%yZ6Q_ou~jTuJWv)zw(cp1Ep_uLtk3TVu~w24L@9!dyiTx8E#{Wh!&t#S%4 zCE6u;L@eH5z?2*zm{^&oZLd9>L%uQmQMIC|Jd#22Q1$U?MCwPM?dOto%)1zEqW;20 z(07t!Qm(~YTp*^gtxa^k(OC_+pFv<&K2Y6ciusc%CPG=Fx|Ck^Rka^zLNa!B8%PV$ z2rZAg>5`SqqO16fASu(mP*Vkknl8=HIi08>U0>{X7YAnPG!q$0OWl}R#9rDCU@0l7 zs%!e8Sfx-u)H_q+n812_Hmkb&?zb%6lv#au%i4c_IPEhr_6b(FmkS3`u}{XF}47vyU6gTF{;Bmy#FEP+M{n2a?)L<5MaX-*MX!{j)Klrw> z7VkOCJVu0<1vdR=P;3Av{Ccu zEn7(RgJ^eWk-Liy>+TA7L}D9iz2R=XhYVK6_kn>q8H@3tO*cF$VbOI5S2UEDIQ_JP zYrq+g34y!?2Q0){4@@ReT|hje``@E0wo%$@yh0yA&Z=4AAyfS=-RXtp3S7CZ>aTQt zep~APwA*8)4puZ9^|AU86%H%Ts^uo$NqOPFXiyW>ALfGst2B-^?86rDaa{2`Ho_3u z#tXVh&R8v9_2sB!X~o2!gSpH>CIX51odoungoG0sWmM;IX>jjMp+v?WAPWp}gLJD* zRX}vi2QYsINlf_wzi}FkuDbKpP2XEIO~=Vf>!*eEpeC`69j(JsID|!)1-AVO{vM-$ z%S0Vg)|!0q=CA+v;MOH1!Z;0=L^q|I-;Lip4=!jm7AKk73~3LiH+03dd?FU3j3=@A zYTnh1kQK=S2r)5uBrdL}g@O4eW0+{~zq@{LBPS&62KkVRuU@?YlMESI*;9~7NJK#~ z2*SSR+Wi~pdkJ_GTB6MK`n5BvN?EJMd+Ch+= z@UI@0HTEI7@doVD?#xxcc+Sh(N%Z!2SC-SPtKyM4riIIk6Gu?>sncj< zFOcXsE0g1L5x zEv^xrun7xe!FTG`O9M!3fq`UVsoe!@rF#d?j^pQ#D36Ec^c{s9ln4)TQl;BFa6@xT zN4Tx5BDHm_=+nwh&+NWf%HI)<>Al=E|KRfK=i<2p&6jTOFNW zL819A{9z{jt_P-y8fd6GDJO4&CTtn8%q4~Xl@`+uC+60&)7F@zTE@$b z=PcvBTKkq(R6?LmqV9%vYFEL>61uv2&#c_Fs@jSA>8YA&&?ACdns@MW9jY8Q6x8zG zG{dl0R#o*L=&ZSbYJ(iDhZ2enq22CpFT9U;rq1w}f$f#eQ$r2Y0D%BS7N1Gf7>Q9g z0Uf0zj?jqjyv|Zbzw$Gk^9ydjBhMGWas9ckqZr6k)~8t=CX@8xj?PV2aP$!9thQ*O zXA+!a?3s$&zJG?jAD~>|Sn`x5C?|&^Vvr3p#jx|=!&t$x@A;zCW@~(_chiAKo5*MX z5qROp)0TxCkZuL!h5L<)i;k=&jK9t85=UBsjoo8PP=~geD=ElvG;#cIH`VwORVnTi zrP&ylRjrZ==+NBu!%Y5FPA_;xNtEgH;#QkNiG{W07uwI6UVLp+iOMZ?+;zg)_z2gz z`mfvtd+*1U20Fe|1YY`=^Cz6%ar0zIPOiUoyKek{E6iUasuhAekpXL897lSx^7_(B zI4Q#?3Rks7jSXn5N)eMc-r~utNi&{z>dxYlq4`y(%x|b+AM;H=l%e zZ(q~EQbPN+M6h;3{Ll225j>hma=ifJt~vcE)*cS`d_~XVjXH&K6T@KGm~y zRJTH88FZxRHq>93P}**;lqi3RB0aLaAxQMBF?E3W1)QMbi81-iW*0;}%2zc4F~luA zrc5*4`FRtuKecq%mHWEsZ|^MQ<`z0NU)EK%id_BwsSOj|2pZD>__|H147k~^g`bYCj1^g9Qp`-T|zS=k&I){Ua*h%k8WwKP1X$;dh$5PM5 zi-gt|vwCDxx#BK{Put1@6?J~mM|y8w-A3;5hriPpw5m%uZ~BOt@?LxmlIACRY-NF9 zb!CY7-a6<^KR=KAbAkxY77T)()D#8UZqZ>sxwVc6rNuNYjokiR=ip%rv)z=pmX#&N zb-@$pWX!TM!&_|h0csuhTiV4ZW9h!HZp3T%sEiul> zlNBLSlm1MXytl-4EQi{N^Kr!Y%pAsEn`3Uwe6ik!K2H?wJB)#P30YZv)GT{~$l2Dr zlBZCta6gKY5KD@RP7*6*6JvF5pR0FBUtzIlO3?11<|Wapcuc2Wn6YN{RkH&_R3mJy zsM)18QN_+9|L7w8MV{`ca>bMN!$#aEC@xz+s2uT2XE_-oyN9zRKExyxCx$18#uwn& zmh4(d_r$bAz~FtEYHhh23dcI15&P0#`n>U zy*5hNT{9}r0KsHgenE;;BTzW3Zkc2n272F-fa7C_7%e<`ECzW+Je|In)*B}r^^kb= zFkLctV0mI@0h4wUL5Vi?B5^gRU|&Cx61|4)F-mOk`S4; zh^@p{)@!b9;Sz@B3y3O6Ki2UPb~P3sr2G4zcJgtCu_m5#MvzOZth9pehi1hOvFf&0 zSN{C}6~aC6L8>6A9NDVu1OEMjmC5WzM{-XLQvjkG8*UFxYpUs-S%GMY`hlP7Qwlw) z*=H$!ens*w9H+A3TA!r35pM_O`_Su+qFd6ObW^MGTI)K?$_32+ z!X0WRIG#AWhimnFj(7*wBIr#mpX)b?ex6z#29@J!>3XlV@&{xOsV`<8rANM+V?kl# z9r*T-qP~F$KaBLo)rOH^31*{rf+h3X?UsSc5 zp^B!Kw)@j`i|!QHcHG0H*TA^ffhj>|66Y2bHM0@vLhFW#$W7ldMQVacynvc$CPv0L zHI58$;nDK&5NDK_xQ2j9mKOIyzyq)U?8u~~Fn|lS{`dES=}=0Ijy!PY{xeSMx|3d8 z2I-*8+EqpKN3mR*)*=z#F^$#?pxb6*Q+crda1s{#8e#(b zv0mAxqhC~1qG-fvRZRu2);vlUqu<^G(r@^#M5`5lh1G-yinKmG!M52Q-sRWn=Lj%= z8SyiX2v3DG(2n80wDbjGQUQp>70}Q_o&M`tLKYR*4u?`DAPE(-DerrH(HZt8IH?(c z%z#;=#Fwd{>Lcj50>Ih}vD}6QrWqC?3nj+bDnI0qoB+uCMk2Na)$8OCuP)=_a>C4F z9nynsV~{aIQaxL8=`!TvZCpRlV6ztVH+1iT1ASz-B4d4aPLEhFOJ1XI|2S_7A8y^F z;Bs7RxnF#(_&?4h(ycTT4V->%6NvgZD@sRK?4K){DrOh1>c?Pr-#2{n_ zJAQJ@+OPR~1GXy~MGnRFuL(V#1k0o4c1UsbsXgF1`=Nu3NS!D!hA3DhX|B8jdL77_ z@jmW;f=uE@9zKxQJ0(|8A*yQ3gJKcA#%i23u2-#FSt89}=1@^m(3E!6Z_ngYEGwg` ziU+lTD@jx<`C}{2yZW8zxl6xnKPr!YciJ|r#a+S4g<@1O*C#u#FD30^c{_bT{O8vCDv_zKBQE7QCu=5DZwWJjjzv>5;sIv0c7+eii)%N*%cZjtQ zzKGLiHHGg1gTU4_{+^zmA&YW=$j1bKl$1n(dklG4?}r@5bVOE(GXK-cq1;T_z!8{V z03~!3?1(%(Jdo5@%X@7$pCB{%)J+&dUV&7Pi5dCji@`9(E8$;6kTA+k)FNs)g0-^})}Xt>jcJbDdu zuivF;))|=NUGXoRd#si&&J{?XOmzMMj-~K$1w7=m?3k!!t1>qh$kah!oY(!my#4mi zcu+o;PimmU#x?$X@KzLMRp-}u2y1y9PPg-mjc+GlOoin7eGO~x=pdw`8UPzOqhbUp z0l|CmRBA4+(vG9PJ~;s3$?MKw;`kQ6%6jmYzhdrK)|f?*k%g>wFn?asOkEfo@^*nog{oKu50JQ*hc6^P;G-$;UOraDt;y=jTdv2CBiT^=V z-<@JxZ2)GFT9wnn# zHOYEb{%*oH#dL2z4v9|hFDG-3;aMZ1ER7qTy`@iN;>pK#Z%L5a@s^d&;S;=QBU9^K zRbzE7L7cB_J&)o=cY-d|hHKjI8`P-)90OY=Y zt!DBwzBrG!aY^UJ`uoyEgHEhK zti|Hi>iS=KjVW`Y+xXMvf5J-J@7zMOCJi9zyp4_R@J6kq$xTj8qFQ^5wmmyld=jv; z7O$R=#s#~lU+n-a>+ZQs8XEfS6goQ7lJ7yIrQwe)GSh&egYHOyT5pxvwHovKcyjwM zDQ#7`x1i0w=}g~-|EJ)pgmf&2m(mvzXJ3BP#0s)D11O$tOr#@-|# z=E>GL(E0$Y1gDlMAOMdt4JPwlYY1?Z`?)yTQ4)ZDmg$DN`-6yFZ9KA=S$d@X;pDqu z{-|yuUq6NAzNt#MvQ!HZWm~(0DDK zNsX^t)7=0^1tF26aOT~GloC##;66PpY^TIu`vEG?Nb~(|#AZjaYKlXa56*Yf&`~;%1xX+1U$|+QNwus4Qr?PIyrsK00tfws4Dx zru_^nfX8hscoGGjLk|xDo)sE>BqWpw_|TLV(Fb&G=J#_#y-OK3#*qm6*xHAYQ@o?Z z)Ixo4)*n4ud2xCfsJZcr=jBV9J(OLZj&=?k4tncI`2;=9_D4*=(|KP41{vIaGif6F zMfNEtiKd7*&3b?G>un|tugR)`U|lXnhUdS-P8js4r8Vp7F&FoYb-LM*i|saEz5^d( zwM!sKhlH4z6S4a8Mc~7%fSw%Ylr0-$W8uHi{l-?iq_%G;pEWL-J>3JqtE(qRhc0_6 zM#2YmTo^S1)otEF?s+k41np7VZ%k>XJnEi>5cMZ#h)+zFG!GyBxQRfVT>tpK`dw$@ z@_O~RQMBouWvZ680jJI&U4>1@3=pcKQF9(s{nz)ilE8@~6Y+Y3M90R4b$>rpi5v}g z^yiI9y6v4ptAl;|*oTqbSojGzq88IRnj8H+1}a>c`1$@(Iw{BREp^RH5@So=Y7yQK zGfq|Ry3n_HCiD}Jjb0I3ed6Vfn}w*0R~N7LDir(*#NXhu(Fm_#I@UZ~S)kSr{_hxw z#lpK-uf8xboDG+wGXxNu`|{q-FE`kMZQ$HNK@*sA=c^{lOq*mSLO0~W%}_NwRB;L0 zwZ1852Ikop(%o1>LN#9pxqA_BbWyx@KN$wQ6V{1aQ?pPA={2P-grOc@Rgt>+yYnLa zRz3ySZHWKv`nE~>SMR5Mu(b83gI8X!-nsIm?x)J_(&qU`eBbaWQ6dZbRMkndL<)s7 z3SJ3?o4Y$OPD5y=0r>o?=kD%)myoapT9!d|J1G1 zwdd#6$J71A3UE;cb#=MJ>b;|^-1x)uPyDZU-^_0}CSOD+9#gc;w#E?%H=CSPn8-;M zwzg&ls=40y(3Hyebo~(SPJ%!KY^h8p@ra!FKVnNbbhQK-+VA9_Y_|;Bl9J1#3Fs8_ zb4W&f|4|+N7;9V@D}w5+jqj!s&zGazbE9#}0nzO6qw6Rym)Z)sTn+suZnLLLfVl!C z+HADiTmI_a` z2%!zMM`iCWFZ-pD`31nJjIAbmZ-JyrfSXW7Ipi|~h6I1acdj185QNJrCf{$is;ZVZ zGiC3EzN&TgHaJ?d3VV$(sl2H_P+S@wmB5qZ~us-IVX+gPb4>{zLh_ymK(sO zv@PmR%uiZ9k;*l&JLLPht^dDG#|xXT0sQA?fsBiWiCGFR;?oYYht_lJ?UxFhv*%_Y-LQh2_0(%~Tk z3apRk#u?q7HmS1w8$`S3L+4l16V@YGYqi1*S02>3e%c-GDwoSE<8Bt0lF#K{(5Zxf zYxG%O_BH7*e`fhC`*C(vbrlEW2oFbMJ{bTcWo5Rgp9mxi(QkZ+gjR%1zreWA5&T+Iaj9g#gd`kngtx0&VUuBn=*osLZeN9(PY-wWs*8PKZxf zCb0B&_q|>Jhd_J(Pj}Q0RmrPAdGw3fQv)<~@>bEWmcmapa0@@zV5pN!nDmZML%{)~ znvb>ardNNLp=pM9B?s?{&*CS&*G2oeu^lkGPr&8h;n$ctm+P?+odS`hZBl>xjmdr{ zJ8jd7lDl)rMTAwmh}T~iUT*aT;c~^xcS1t{+HTLXKPJ6SW-zbtw^AxMdz}LcS7D&d zS>gaS=LjiwZ2ZOjd(mX_U(?0aoBhAzqRf(druQ3J=9A)RA~7iB+R>DZLtbwQd}X{7 zBN?(Bq`_pNr6&C?3k%=&W-1+^SvzjJiO;7@Bt|*ONRu%TCsA+c&NLxuHkqHu|L0w~ z+?v#Fef8+(OVg0S01*r?$^@3yk9wg9##~>~SKPL*_I409R!VzzX8uEq z(P8L&1Bb8m*RTGlT$l{H8gaV(J`+K6d0MZnC`)}TE~jm=E#pYS+&ZqGW6f8v!nev9 zpgv}y^fKc4@x?uqGD~OEQWI(a&f^qc(AkKcFuZr>!49A`$1E=mWo`$j zgAz$By;z5d^}{cClVzHQC5jF;=_vHkB60JY0K6^E3IvP+e=s;Vw^+)+C;#MH^VX%z zCV}a${|F9anVU)e>?`x=WG2DOqs`5M{;!1@&_kP%Tt8?s6E366-u+$Lm>zrDhS4_C ztaZgMS3OiHz-N|t(Fuc30zT}3Hj06GL&t6?Vw1hEU1w)mH4OkKIXXIm3b*r4+O6&8 zC=KRF21Q2C1nyXKynLQmMr&3Jrto} z&0TqE<-O;*LI5$`u=|8Sa`T(a_=P;q*%`;$zuGWH2LkrQ<-D&ABmXQ+2hKoFlz80b z#@CEsq^n(~T1|?hx}MxW@Q&#w8m7)GyP;pd@Xsx2sL5FT4LrY=k55Z%c~qZJpaebn zO*5HmtT;cfUtOmS2zR(1OnIjxM4p}d*yad9xFV@0dq+uECp zPenDyLCProN^f-WO}*IQG?yjnk}^hD|C~pvM+lpk*vfxr903ZR8XoxjzXLXb&dxbZ zQ+q)zx&KlLEmj}F#LKHP_57D+fSV`QV%ijZo#6b*q9y2>e(CZ=RVK{hy zI|4y$4CC7J&@k}$hiC$*)T_``$P(5~7!$JQ^`;WDXKyUy-Zwhw?eP9Hk9sYCpk1Jd+uze#Sd-allYQ?#+1hKiStjvfv8Uiou5wh_gH2FtxRQP2g73;={yaWLAb*`N^8Fg}=Pjx6IK43MKJquM5FL5e!Q-kfJhf^b z;n3@{?QWR3)K_ID^{zZ5p&?^sd0Fgb7a9uk66XK$TC3;Bs{DJiSj_MUi!yQywBVMp z@}$TN=)pe%Gm)R-sTl!8D&#wPbVob}TKu#r|6K?1z>wLVu|G@+e;5U;I}GYy5?Xn+ zpV$4HTf95`-CWMzzdc$2qwM!u<3!mUUuzA!Mq^1SF92PtJ69bJ_ZcRl@2=gG9DJV~ zN?a(JIvO33e0}qMwc2;s^kqa8(^?l$gBbvROCjVE4j~#hi_AyqK$6}M3TfajEfQK$ zI=qqKx1yO-+FtvK@p1~6wSfJqQ9gOS+^Lg4QS;NFAD@Kr{ZOtv>{nqnF7Ch6i|if% z_ApFip%!vN7keBs%sZ}u^AGXx(TOP(zuG!8D;vCh$Px1mF;kP=(4`|@)`x!@ zVZD0Blg-2kQ|5}c)EJ5PBA%B;$RQ0IlNkyOaeSIdPt13GiRv5r5_gw(_vxJwyChwF zIE=4I1!|>LXg6Yx+Wh!hF$=c4vTWp4*k^8tiA{iI0MqN&KfWZ?j?Ma+>`j%we2IfY z_A>58Tx5nLD>`~D1B37f?E;#or^NqVgJ|V;=dZ@WRyNsvpC9BRGHNj#tXqKmZh+-M zD6ym+s!Cm|_)=(4$nuSQx1CoJhUTGx$0r?zEG+9oDUCz8=%hl}vsZb^Y08-!OR9h9 z3xtGu;mWR3;{ zP97-azz&Pz>Z4IQ*Oam$eqT2*-r_`sc)5U2nf|2t!mHGL!rH=g#Qu z8EqxX8XFT&O?8}azgtQRD}fp%p6@hacPsPTIxNJc!Ds*ShV@*5nubhb_>y)j$6!a! z`0fw!$u*c~5Cd<@(xBH8N^BFK4ma$9%ST%tH7r=~|ILjj9QHmPI8>gU6O4__>$S}geu?a5h8ThK}eR62VL2`9{dfZ_hF-OsSeA$*C;ez{Gv)92&I zuI_GoDE2L0>(C3n&4u5*Eufalh=m{_ZGPzaM2U##t)`RA@5|+0CToxyRoVty#iim+gSb1n_h~-(MaIrhnf6 z1wn!h{!{r@>CoZJ*%;pqj8R6@(n9raH1`m>YD_6nFwY;_cHOiz6mI>X)F5OZ-$^zu zDcWTAI)}Pql|(tUkhX)(AGP^rB1?=)_rOJDP7d?y9F&hA3;uUWDYD@m2 zkfUqWXD_mz;aML@>IJU=qWw7nofg>-tF9X zNiXPpoNW(eKUF$S=qXT)VJI7gFXgkdGZ#gcw%ap4e*A=<{u49>1XMij|2sc?_{s)S zWisA^jjRv^j8O0+d?O+VFVFU5HwKa@8T=Osa~Q3^<>RC%k2B-0oW@D`P zWJHD%->WRfD;pqBHU{lkA~zM=mcLB$CDV?YKHJ z1A#|I_AGrOc6ogqOYa-ge^5Qa(?AK9fRl|uQy5YTK_(Usl@RHBO2K!B(9lFCCia1+ z&FV{gG|_0D2ka=E4$q9VlmxY=q-~6mPnf{*-jF@*Y2!>zZ)4!A^;jQs`c+PmxM>n^ z{PH9;>-&ieLahr7-j5_YylWOd=g~(*J|PK@JI9d8z+WW;x zgz&%_k&`Ac`Y*Mb;`||3O&abA9Sq_9`@LZ1`7lc2iK42xBLh>kSJzsFr(o7=ZeRzE zeI2xT=YhgdE4GKu>nW;hEaFZ3x4BK>?r_!9-F2ZT<)+?7I+VlH@;OohW6z-a-jG7V zV2$cWkE95TojjP4Z#oJfYlQdJ!66|lxTvcLZfK`bx{O%6j1=e>zBpaIeRn+Rw>TFXhUd}N za_$H23T4f**u7;!r@usUPB99$sQNrx1^Gl5$K|~w8>+*O%cwezUvtI>4CD53Bq&b+6UcG6{(Cj9qzpPJ!f?fGT((YkfL zpX|_$2H_(XfS7CkIA`i9K0C3Gmy?PeVAG~wd1(LCfHhuYC-F(v%^?fyt{zQn?OjqR z)6nu!15BCN^coT&#L8|hx}#|q>a>W+$ao%Wa)XSE2Ghc}>PR@ed+7dYA}b$mQ+1jHEivs#cjY_WhR0fikOWM}NW%YM zZW!NIJtIBC*6HeEGsy^A<gQ!#|Hi1r%ZbVL?YxW#?aN!>b95oDH~a^|0l5^93+5Q; zKV|0a;@tKVY!+LQmX&>xsz`9>&WG8+OJFsm*wad<<>dwEF{c+ldit8^t1Z~74drf3yXx1+yd7M{-8hvwr(? z3oX=JT?4vUEnFSUdbOuBGUd;{dg3MX!MoTUOx>lNqa zVP3BJM0Vs72`QNlP}o$j5hDk?J-xjkkv9fcpgQnc%G0hM`EQ>eSgkFl*guyVpk}m) z(OED2Acp^J@P-dwO^ABlV1-Ehj&PKE>(Ni7~Ot(z`N%In(08I>x_c3K$D1h)%fI_M+EYAfbxyt{(V{Sd$B103esK<`!srj9kbKR+m1DFo02oE>NaP$ z%!Pz&ri`!2cQsJS0)nTySLO?r6fm-eRKv9saYRWLSWVXKyvMzg|5#(9ICMDD6a;ym zrR5*5aTw+;Wpyb%chPu|4xvz6v*uJNev*GUNHuMx3Teq+%4^}0-c>@DwA{;wU7Mh% z9WFI}1(}xgjErxOSGz$I{?seAX+18_e=JC~Qd7o3A6mtY^lzA9(^C_l{XUb@-fXbY zyW+m~tqK_Guf!xIjM%x;(T2uhX|z|u^YOAfw`*mhO%JuI^iPs}a%X@3BVe^*NIV9{ zwKX_|clZ8@4GcV~s&ctQ;pp=p+WnDk34|8l?$y@O0nyY9$XN=EvHRfKYC%rB2M3+M z)8DYDiPEa)_gcYLRJuh|uiqr>gqOXq9Mf&IiA(6muY-DcD%kOl?w1&=?b@G3eSq`b z&wpnrola{Sagxo?caRQ!Y#G1rY_^?FL5=`3z}(0Tb1JP0D;h?|o*YZ~{^8w56nu6~ zCWuMHfpyNeZMVRE-@5by{x&cGcoJSwn<4k>ixBd5_)JsP4o^5ZIA)y}Jdv47kd5~x zdl!vykHU77ec<5Z-wv+^?SIe0Cz4(&>+qww{27c)l;Nys<1$mAQHh$-8|UeGAnlFP zam?NS_rubPp;i8rW~4GB<4AWmHyv-eYAmoLRx-bNAu34a-@*XD%ZL+9C^S~iKitI3 zQyTzTM=OXEtPHWxKgRgL%7Tle$ZYswR8J81P+EHWRE70@e4#_po9g5J(5bwHISYA+ zKa%?eUg~3lXV5s!B6?XsQ$Q2h?Xr>N{1t(19hf6yNOr$Gsb`W8&4+6Idg8opkdnYv zvR>} zOuV08nQtIV$MRQ@Ryr(fka~7b(nVbMdHQe>uy(e+2G<<(g7xy@W{7u>I0_h0R-+1#XE zrK6^~vr7CtMeAfiA~{(&ym!p3`~ujs#UFe_TlI&&#GK(a`CSkHdL&I~tSXQxWR>rD z0D-7LJx?1pBW2e|`Sbgrkb52OJ#FVXCl?nN0t$-0BLCg{vj}<9c*n<3q z%Vw6(0h2{*6pX_`h0tB+dO}W73D(2N@rhm*WMZ=Hdj^Jh`*o#T95pvS)Z4$jvkMOC$)GG<+Oy8{u7E{= zbSr@d3I#$)aUO^yLPS;2hIX9`2bW3T;(qM`hCZMs;FA{v=6Z*xqpv2&pV=*nV&GBS zQrx)c{i1fDR*>w=xy^r=^-tuO@wkhD*Ndk9$dcy&@RO+>Lp~jP!>!betAtCowHk!B z4s+1GKg*jWNSo1D8Bfw5y?7L>qnpGQx=w!gh1=!tvThGV^=-C75pe8NQLMsr{%w}f zw{r{OP>JLjDQ~?{RBWwJ>n(Sy8T{8O7BNPxvkWxrAd%&rTtf#GvM zV-6EOdlSL|j;X=q+<|}gYr_CpO90d<*=?HvIVoH3mm={nH)nt4KpklY0!MZ!oQabyA}cwzv^b2CJ$^&>hqFe6J% z@sZ;rJ+F($68<GF6NJqh+`@z5CvJ;!@*1lr_Pq(6rdMvbx7En2X zgM-pa>?laR5sas=%{%ko7|PR?YlGuxoh$^XX+G(o7Vsf~x%W@UAmI8>tT z>Y&W*zX|t!+p?;xcDF5_nWb6R0;u5+ptR%g;_$5w_@ef;z-db;L`mhb4ivbX~yUa;(WSbf__3rPM<%{^RPq(FKm?xH6_3s zKcRnXg^OUIydZe(`1oXXoqR>LwZ+EP=xG(>J=(gTMNY%IRntW~gZ~T6l}sOw3&W)n zs_KaI!Nfm?^|iFLq_lGh<#LVVRttz|uz z{6U)W%;rOeG#L&BU--|TuUlGMFCeBkPQ=q~r;vcgY*bs88OR#mb3Pgrc04fWwfBx#X=Nn|;Y|x4w~YbUqJ7)tBudF7x--V*49? zMWQue+bp@>lJ!aHy%K+2B7Gk7sz>qBKZ!7u8HRxQc~4aSwYBcoYU7m8W=Fux10x&; zqflM`k?QO<;+%cWs^H3}Ndw=+0Nxv1yeStW zFGzN;FkyC9TOpCJxx~1a6fzu9AaAlz6^N!6OB)-eTU(oy%LE5j%M#EXnmRkd!Hd`7q@VYu9q{pwAR`NcX?x;0 z3_pD;YKROMU3^LLmOqO2GdxD*e}()}QBrCKMPh&9L3QSmOR=m{_Ulu??WF2HHS6mG zwX%Gc{A11V*6lB}>3(t<$Ic~B)$}C^ZzEL`Tn&>Ua>iFQM{QkSoI+K)?ga-v)kMAD zqj}vZ@$UuDQVsSEgb4nifJ_nv&=3hF)tNwP>swk+(qDIWZisX2swp0@KQRTmJu9Os z0V--b%w8no1)LZG3;@z~IG7*TIPJLXU@AmDt(`Dvr{ru3&z+dQqMCJiFR9p_5F&S7` zxJ}t!CGg}+wE%fNdTLKmRaFx1FHAg&MHoKv)K83m?9Kpo$Xv~h&HR_**&}2wo4KCf zV}H;@s;5TeemX9AM%=xsIq%`ch0(3JbG3Cf>S2G14FSHVPidt9F1+#rWHYu>tm-_RHP&#XHN#}D2h7NjM>f)J6=o8J z9CY9q081=&VyAljtL5fcE=j5BU`J;sX0>)GP~d-Uk3l$hEXb#i0V6wsDoPi8J?mWH5`9!3HrS^)t zuBPT!ejl7gU|TQ4&qG$$P#}&^YB$6vjQP2+me;()UnUNUmZrz{67DJZE+pg;5@=WU z>M85-Wg!_6=Pjsq_}BO;dPJUoOA%Rj0H8qTifNOU^3g*ncFyB8bWR@jnAK$?Jd+1T zX6Hjc7W9}}sJiLtXFyyBQHJp-JG1s5B` z5C<5Tw9NO_SJhM<_obLxB<@g7-mmhAP%h~$>1ON|_YdB`p0gHdl)4)zHHycs_{Onm z{bVLEFVE>^1m3GbDwitWt9e5021rIfSqXavM;Wn6|JOC-#6QSv4D@wdWo0)ev8u6* zVob)L=?~t1`OHj-@IN~5c@PKP{^w$yVTKVD!}_JC6SiLFo@%eZA+K{w|%`7M)J?!JOGVhZOtkY1zEG~Z2R3`j8^t+dtq z@#@{x4@?9sJ_*OoppMar;wwUrYXFLChMMsvaB+Hyf@){=d*eVFJqD6`C+*oT|u6TQd?7P z9qs=1q8Wj+VBV)o)-p2YsrCWJ#?nN@dzhOBz9BYtadPM=W5-YAj5hM<= z;l0h}R)M@_#->rS)p1b>6p2SpPm;u>*4a>iA}%>Mz3r>{NfD2-6Dnn21ihKkf6poh zy*e7-MCWyuTwp-F!_3kmqbLS1GluINB~_W*%~G}f4N!7_NVY&$U{yIpaH{)=aW3Yc z(G882xKobKZ)#q1ZN1W+Hz<2EPvm*`rntp#18)23HcFX@=i;Fpu1!?NR&qdAZ)tD8 z?~|Gs5n=dFE0Y1}Djj~zYrT)}NKzAM>;CsiN^;hWm<|T#ZM|#|8aGlVTBfn3>Hq!^ ztF4LVl8$g$icP=r^?f;xUSdItZz+AyBQVxBwexU z4v|a9f8fTAghx@Wy-_g{`H4zj#iY#rFPw1K*suRlGofn#)$jZ0w(;ijH<^RUF>pR; zDw4u35<#j&OV;jNIi2u<=4OB4gM)v3USItM*-vk8qKm#Yc$>iLZ+-d4@oXV78D-ilnNW=3t=}8XL0AMf4t~F`#esY{(7SZZvs^+Xt6)Z z*2b}}G56V>ZKIZX#+_tP{1G|?pv|QX=N?)6@1TOBtePq zL(drL%r2qm5CiZ0qHjZqACl)M$LBt#XlV=U6l2CbN>`v6!K*WZmzB86h3&9Lxw;}oQ z>iTsE$gyPZeJU(88)G22HT~cBuZ{~QeBUSD-l@Ag$k}mU_l}#N#s@(UM{bG>R3k*y zlDFcEXQQjLoF*O(0iaG-n)~SDrTtrz!w>x)x>4-?gYw8%PjXiydRK!3Dg0u4dY3Jy zYY=APIJB#}FQx3?uPL&sudJERj>ZteX>!2@rwQ*v+msn#x)GF_z&0gAaLf-?v#xPk zlRY_BKpA>c6gEZfwAy6afqL_R3-sTyF3fH= zdjG8Yvqjmjx0BM6(otrzL-bFd|9LKGBwuP-js8>cr$ta#H^;jHEUfD8?vcrFaDhRE zXgtOZpjDSqi6+ahuRg--jzrkR%=$o99w3&WE+S8*(Di@)^^#FggI_4Z0j>V~lS!61 z#V|z&m@FcX{HU>j^f6p71_=r@ z*l?Ix^l=!p_>u?CL;13kxC4@Yr=QkXXzwJ>C0QkMYNL}rGt3u(69tM}PRKEZYA(Ar z2Yz+#tB@nOX-~gOAl0t5GR?=e7=*hS+0NHLj2L+_RXBF%$ZDZ~3s-0uuP)IN_+dok z{!Xfz$o9bNeem%yEn_Z1QSeAOK{sC~Im7tNws-`@h9mAv8&e{xElZ7T^PfL|9-f@6 zyK@djN*ud^cz$vx)RWLwoPctOm+zo_Lbn(28qJkBP3r|_uMbUk{#)!Lt7`8MrkE;q z1`8<-D9>&GJ$s6A^D%;7nzG>g%Hx%V8ON{Of0UKFj6GalJgW)drocBtFgYKU>j^i= zZc$DqAU}1K!zZnp+2tZ9$`94n$u}dERB>6JMwa>c&mT9y?hdt2lcABbz75E+3KT zg|o9WQr|i6^#@?~;J|CZs=&BI9T?KLAR?vN2lE6_B0@^*+97mkieA3#m%)Ih2#E(k z@tmP%Sqq3_9Oz$Ize#{)pK7fp@<2liTZ%jjGEs1n5WYfNX_XWIQxZd3vy!3mKKn;V&|3N|k z&mplLP(-~lF`)zdPR=l>n~g#I3NdT}VCPE{+Zzvg02n@hm*16ZvQ*9@uxV&$kbdjq z7pW2foB-89S7~0`4V%}<7Y?zu?-T-D>xWiL8iBci_D=R0L0Y#wJTXy(uij4Tz4L#> z|DuXx+AQ^APmz4^uhDDb2jqA9y$h@sHm`t)8@1H~21C!?B&QFgSZR2MvM9a=8fZoC z%|=Kwzx=MO_c>t1=S(-`ppoV1h)UFAdxD6FFO#%_R@x*Mk%en+SIi(K{W zn2AHab~T|-bJOu!@37fZ7;X4KSAiUMoWy~V)O+Mtw_6fFDMmsvU>yUM@772LcIB+{ zXiLM}_S=wi2KKmSLlzShR9@!>VCxJfGQ8ySbEyo-kQ2zE05_LsfEd;da5VlsyH7<$ z#T_dAXSY-cet2RvsO@N5;4o8GHNRhZ43-c=Cxcwv0*P+|yEA4-E17!OZ2hlF7s+G_ z=SSZMb>nNjGC4Wt#SEv7bCaZf6})FLeD%YnHFTa*sV7>kcjEQ51&39nY;~=-bI^{+ z^lg><^$`(hjy1{w1=gCCdAm;$)qyD~J70yrfn8FnokLG+%#lCH;2!btRQMyfUF`a& z!!YrwR-pv}e53Vhb3Fe(3Iuij=PAyh@?)sj@C8`+^pOFg-c8(Hj6_#Xc;C%MJeEBN zFa(O>2M}YRQ@>K6XqBfVR%@L32VVVaz=&T1Jozn1yF&*4g8u;^cd>3F)=e^q`_wy5uhYEpv?$X0{K79vv#X zrgEFb7hkIPl)Dvd6Lu|2dn$IZRJuJaw@zj;3u-T-oFdC$W$mEcciODM@Cohf(?h+5 zW%H*TH=l-%&L1uUP*@s>Q~=UVZU{$EC$Q>12L`5r135R<{{H^z`Z`jej^unvg;B}N z$>CgFT&Q&exS?*SOA=dSO$DJh8!=ioOV@u6HX8oymzwQ=`g9Aqw39v0G(cgdioin4 zCxfd_YIV)}3B%SSl$v**Sk-k~k4XlIlQU9EP~H<-V`&ZAmTQOp6i#H4znM}=*Of(z zK|a?G2fo5Q2TD|L#3spBYs9}(iM6+LTIJc+CstxwO#V9Ag-;JM(<7DS&RyYu>yeCqT^DWRLyHD+P{%`e$!55rZxqk)&^pk({dp+-)$vvRynBa}8g0izQ^_&2M z&o9rSO%YUesFm6ag^pTRA#@;HEJ%dhVj(KA*-X}GZp^_+EwdW))h$?xx5!UXE70xu zEJ#dFPCjqPYgd^FI8}-BrmpM3S}QbyUEo+?X0I_fH#Y)EIZRsU0C(=`>Cp^5fvM44 zPS)qI`VTmZ01?yNMfOcB?x0@_kpPQ0G^uc}44)QNkcdKVswRolb6-i( z4ugf|bm&(9vP^5+#nnQ&XgjSZ;ps#L1+Z^H(`ucW^iQR|2@LR*HWLAMgXEJk$qNPm z=AC9tut5W_`^8X&$!8Z|_?6jQ)Gc%x1i!v%z*%OxuMgF{)booE<2Ci4+6VSlj>&F| z@3w2KwR1f3D|f67&aczyC3HCZv?qCvpLkAOS8?mnZQkhx>?g^E44ql+UmeDGkF7&Y z?#*RAj;B1jlDo(*LG6&lkisoi#Tn>oRxXT(ic}K>WINC z?zN*;Xp9=U-#4hMuQ8#fkd(c?jgAdQf1W4~%Vz>)WYJOHX8wEO4t=tJUi`iX$-k*0 zWDZ6B?JKJZ{KRn-y(zR&#jkwYzh2;{HNIL2Qq1|YJFRv){Fa%VB^X_A(w$SpS_DSR z(Cj;QkD!EDC#c~srbluqV2niu&3=0$hKoOkMH&$q9(}4S%^fDmn6IjJ%2>0@$G()7HeO zE>-->wD2s2)w(Y(TC5_rC{gc@&0$4TcsMR_6-0qd10vmR^ic|kZ*auNfHY$+5k&9< zT<;Q@e4o7J6y>!{lM4U2jk}wjEhUm>Ci$$~hpWT`493pAPf_ozk#&6O5kdLJU$QaV z&|kYX;qcfrrKR)nu`Jdi`PDDZ3O0`%(O$U~`PDx+N_)|EJfDxcXJhlt-n3Yew5zBt z>^r*!NxZEpt0l10L$f?A74>(jc%t88-1cF)y;e z0QKh03ZmeXowX!}$fiZaNytK+-p?ws|GSEjah@2heTqr zV*hoo=W5TIeHw?>8#e(lLAZsAciZ%d)6?e>DaDm14tv@)wXS298;xzE&+!w{n42-K z1epn=m5O$bG?tLa2Kp7)`1D!c+_)Z5hvI_+o_I+wJjOB%-Wo7(Ji4Ad#qJMskRkOf zs74xwsd(!fcTy|pc7vH09v?myP$mlwDr4zVz~W9ELwVxn>J}01!u%^ek)MCE=c&~1 zrwy@;seht|jf3}sl6zKVU)u*Z4>{Y;;Um;-VljA%7`1glO_F54US|KC5)J{`kriKk z>kj_HeV_VOai1=wg;sz6yC`R6`dss$(F&YwTb#daU!ln0@c}Ya*gX=VRiCU;AC`?; zZ?6{~rGrQ$TDX5*-9*sg)i(Tf4yl5XiU{C4k>0>1MS1#uYnHZwPSGO z%WQDrkWc7lk%lEcdZ-e)DN;{?NgqQ6=g=@w;F!(WIO|1@_g}JITDCZ=%b!rC0a?c) zi5TBe5T%|tpeMI>MtJJ|(68BI{=T4qz&ZgEmQn`2NoOD4=0avb(X`>nTv=)%j<9Nb9))O)fh=Lq1NT zJMeK*vUs-m>=1)lpL&qY!qi{R!D8-qb&2#U*^!?;A28pn?$1}y`;(uNT>BNhJcc=f=jFa!Xtqm}1^G#b$~5NaIfX!ERUr_?7G?lc*E| zXIN)zcNkRi8R#Cgs5|#W=2*U3YN4MKUK~|4OdK06wqI1bZmcrC-TM4ChD7dU;>=J_ zuFhPWuXGU~AT5+MOG|%*Bh+L4q1E3kB^p|VvT*N-a;S~nX*ePiCEM86;dP@(iA z8S|Y)+CVE=DT$nr1g*C8syg(I!u~-&bi`&77$841XY%3@ikKt-Zgm zN?gWpqUj}=K4oXq8?kBBVq4t%wzubyU%kPXJDAMx%nZgO#fs)$4K8pem=w}DCUUAx zg*n*+Kb$m7Y%+T@##t(+emyy#f1_?MO!1@P^sk`#gBh|JXvvNi|GHXVnDXCR7C$=9 zc>fIUmj8EMpK`=_#7WD< za7O|~LNY{xHiA{aji<)}l+@{Xy<7!C-tP;5dabA!{siQ%uewbTYP-($C;a-Hmi9=w z2X_EFeU72~K;d~k`{8&PEM+aWwV?{g9$0bhwkRFdY!MI;*g7nCj}3kDk_Ap7+VA#L zKd7^QFPM*(dp20FYHOawCn^=LI2j&BQ=RqWVa_sP6q$F{0~MiSm)T|3qPW z_*M51Mff$9j4l@rDzs8&fFQ)D>fE7C#UOb6?)>y{h{%5a_g&<}gS!Ls*F~5tQq$43 zxIqcG4;35+6oO~x=Y-tWB+$fhMX^7A4AZ+iV1~1`%dRSU^Y(2@9-dg;TG#ERWPJ81 z#8<-f@2{s-u;v{fwl8SJu^MGo?f1{`T);#LtXsv>dbeO4HKci|SiS@3QXI1SymlWi zB_#zR+pGEc`3`@3yrLM?aPHs##lKl&*pzhl=1TLgkt;Xj{ivlA zc`eQch{-%|m^+5)3_^jmSW)RAa!w(93ks~ZU5Xmv@nVws+bH8-(XPmT(w6UG5dD$m zj5)Ks-i+NLB;x)}v)tr~d>#LB(#S6j{J=v-35y;(AWJRU@iBemH`thda)4ULyN!9c zUxghdYW(MTj(zrFZ}gqNM5fkbL%r2hp!SC$UJ1V;w_0g++gDysAuC2U!OU|4C~vr; zhEzX%ct$~ILIwPE+==b_&bAJDumyWpSl9|Y@AK1sQ7ts|rnPDbcYy@7N6rb)RQ^wB zHO<$)_Vp>kuu}|Ji!?Me9m&GUu#dD_PNtjt# zY1^J_S%%&m7Tz0AH+WT44qRSNBQh4x%hP0y7Z*_M6X~2n7mtkYfvp<|OdLc83{Yhg z%y3a+ffCKj%WFAOd_6<4HIdgI7^%f0wdmI{A4E2(!X7|XkVR6&Sge_I3VibPX44`3 zEF;g?+P^jOhF-?!UH;>JErm+3O9p$z`QZJ^3h`30nfOMl*Of;V4?CFVzo~$aaA#Vj zB&!tKd<;EGHM>&@s|%G~Tq4~Kp%Kc}zF=$Ncrg58YiBz?U)vn-U#3mys(&~_0429w zq>Crqc2lF@_C)LE5#0iLZe){;J54>^IaUMcxki;$wQ#0|fj9lWtJYLYSz*2)r3) z$?#TK*oKUhn846}FiL0#_S(G17J8DR&;wEw>xvmPF00X>@W^>Q&UnB9&**St0)yb? z+QSR5t?H>P+0A`?lNlT0Q9#b;l=1utPla5@zy*ujKx-hcC%C6Ke$A(K8Xwd7{K^KZ z=|0-xrP~LU>LADMlhe?}CnHN|pK3z9QqJlBM9rk^QH=7BesxT9Pet%FWi1&+eH>DE zzWDBCOjq5heLj?O$I3kM$bua74DHtS3G1Z^_syOCqJm1+6N!X}MXs=JvaxwykxL&6 zN*XIh9sBlUrh97lao6xVzJ!TzefmR2f6v_eeLfx2xfTcktc&ep2v}+Oh4sbU>ujR`5`%4##@;qCd6g$tQ1Jc4H7WnY9+A;QaE;+e8aC}fyR8;WtSb=syWbfyrku`m|GJq~DEDVp*Top?a z+9zbsFW{9RGJPOMlwUZ#VO^W6oAZs3m?@&QBcSNXv?ZKPnH(|;g5Hhi%6OWX`)Gpo z$>$T6R>cl^?)am{``xnFH*cmH{3U(vs?S@_H1cDLuB4ZK;cP1DYOK)rt6+hKfyJqL zSCw23Q@dllG`cE4A7AbM?#0C+>YMCCF{VrhIrk$|Hv)V?tak;W16b-dkKpiYSMx;f z#OrZw$T*+eAmkrWk1tJB`rK63Z}p_z>0!dwHle>JX@IVt==1#j3{g0a5(O+jfD>I; z7agUJLjZ?t1_)is%F3~!>;FOXfo--g01|+$p-RDiuoo7XoIoA)26b2npk%nXxMCi4 z3$^{IXJ=>T9jmhjNn+2S5`p~(2q^`88{2>b;2#{E0oH;@Krn20hbpId5ibUSXYaBD zCypDSOIG`nH?PS-lb08nm?(D-pIjuxma0!QSKrN5Ai^WzXN0G4tD&dhtD@_x+Jg^v z9-%7`QoCluydXuMT2c``?r6p-Bm@8Mbjo7F=?#0w!$4z)XBzE%(l=gqjh5m?*qN^E zq8IM+7Go{sjYMuY^fxwW5oz0_cMH57+(wt6DZ(%2oQqHMpu_jhdRe z(0YPz(sebD$Pfqw;vn@#3@ssqQPa}y0F@kZnMfO2-QM5-1>O#Tf!dwynQ_@n0@Q0y z;=uwI+{hj~C=_mBV`Bp%h2$~_1deIjz6W0*cR^hAh3$~ZK%XuGo&84rr3c6(ew`{$ z-+^NX+@_BuCc)Q}$4aZwquL67Y%c|LZU0@Ath8xzPwWu>h%x8aZn0gE!u^+6_gl?7 z_j)2+9oH3VW#{vNdE#IA{NWYHY3oM!RC*r%eoszLB)Ta(Iujg15}X^zfMORno+xd> zlnIme-H@~a3tlyckb)4x`u=2sqo+)P8nPJ?HgsrySj`lK>W-EwB}@Eqp5guB${e>b z#Tr-2T;n2}V6;TcWCl!TVLGDw-x5--5;zRyMZJTI7ZZ+G3!FjTL;$1w3ak zA%o|Zt5)y|n09+>BN51=1h5bPGjoW8kME~jVDi)d?xG<)>1@Z2Pj1`4@WDgIen3Ty z_4Vx2R~@llSy?8*1oB=Dy8a&`Ri&PHCEtr75l`9r;yz!yAHwkUk-_qh3^(^P3kNjP z+i~8~I&`cVWA`pfHiQ#@3;%GYtDift-ZwH;z4v3NytteaHR#}e zuQ{>N(#C=Ume{6z^mcqgU+|~9R2t4sq+n@0oo^X$k(p$|Uo$WX@Sq(CXJoOML`-^E zIoz@bXfzW$J*zJLNSFE5?aeW<_g%6zj18Xo6!?9>%yIr~nrs>)j7!lO#NW+?|VcQ|2Sm#XYKqV$uiDZ`5K{{s+=AD}u@1mNg} zMIAJ6{d`<+4=h2EptI^KYm@+7&ft6oWTp$^fW@I?K)mxTnDg`qU_Aij`;G$WL7-AX z&~(S~s3$MAJ}eYQJ&^V_FY^7P@W`TNbQyyW5w6V*2F>k$=Y$L79hC{YuTy|IZU z(06zjWpe6L==i?l&m!gMhBoQ2;sp16iC<0a?l*_(53xN-I-ll*v3hDdN6W41Wf_>jvzksjRRYeATG+zixds$bkq1g!^Y47wZ)#COrPMo_EBI^FzCboXQf;YnPo7rMyax46g!mi-LrH5F*I=r>I%U956GB=*W8S zd_#!n{H|;>GEfd@*egSM~A zete-?9+w0{6ile!xR%vmJ-*_ln!7M!lAHncAkcX~fjgbOh$WC#q1CQ?SsblX05l^s2cIKe)SIzF;ETMgE;Y|S1J0b1{Ps4eL7jmu~dLo7d{#)=r&a^N;(aF6)cBHNqJzxM=Xyd zf%ozFv|!{f248+~RdkGBon_GuN7g0Dxb}F^udm#~*H0ep=~z!EVUgSKa>prGQD515 zI$jC_#O3d7w-ImFfpcc-pt_fWqqnpM&gr15&o10-blzP~K;=+4d4h?0l3ZwK`P@{d^%RY(8 zyVG=OB;@Y8MB(w-t2&_r&Tedv$ytj_zDsJ>>7UtbUJgeT`Q6sJ zP81Wk@OUsu$FJ)P73lbx>vXN00PvV{-^3#TBx9j=XKekLA>&TH-`II)9saYqBQvECAsl!cl~yTrD@UfiDl%` zA=AQ3ShyJj5m^e4c}w3#Hp(=*Ysb02za8ek6-3d))Pv>h9zl_wTM}vK#%z z;}h?`ACLmqr~Xa>ON$3~6ZnM+c!N`X^5$bosvyF)`&GBeM$T@Upm*aySJPrB)GTW( zo>%sMsv*E4h2Do!j#@mfnSdu_3hRPhyR(`1^>6L&D?KdPdSdLi;(x!JMs?Ubg3fjcICKI9JxLd_-8nyTA^gReoI?pFJjAy{VLnN^z=)hd0p^ zI>LS={OwzC>BlRJfjtLTyx?v~2?vuCW)Qw|el2GCd=i60`>0ANAEOorzY@LmS1UC>O&a^(qxBA(C#&W$Lj)jY zcf|9VsW|RBVWUx>D)Q7J)Aq1&M@&oK{4eJ7YRSd*SKVLf@ zzND<7tjNkLdfFw+uPbWN1FqY2ee8YthpxP7s@a_*LwYoB;y(GQlSOa{%Q6U8DK+O5 zxn}YmxczP-5ug8$bGXju;Ly>mfzk)}cy7F07TQb+T^wgQIbQcNyff0q6ec@|kv2+Slg)KmKZzzTKJpvrFb7bj}VG z&Ud}$^lk3LF|9guC1=0wu#CuGP7hsu(W>$$w-$yhGZ_bsS_{E3qk#~EK<5Tlk^b9( zW__Aa#uPCa;$LQ7w0nKK`mWbCN7+9g-Mb7NHxbMR*7{ z4tCCqhM>X(mDTRl03|RWie+80Y-8`b~hS+3_0Qoaz1Q zSE=C|G0k9Yyz41hJl}OudQS``IMA2whVGgMWB7|T`7c@&&W9Dm_;K6inqY*#wquEd zjtjPt$xIKmj%c>=!6yNQpd>QkYhl7Hmb1wkS9P|QVRg-55VdrqS$pD6;nSHyUudCv zfoBaS9aqsXUS3|Dmo_8Cz-oRq7W5p5^s-KUi~M`gUn$Mbi*7 zO2#K4ffx{XWZg6Lb!a}Ks15SM=O4h$6^`-ZYD*AdlYKW~0-g4X>SrN$K3v*o)1X14 z0bv8^IR+n!Ia(CA+Eu;kBtlk7!OsGT(JP=Papr53SrXp8d$*#p5@~AiSagFzL*;{6 z0qt0V!Zii>NO9HFrnejIh8wfVObGtCvs!eYH{CcDrpOgQf9zBkJK^cn8HfS)Q9cfP zbPj$)Ul`k;qNYos*5p>lk#4B%Ca3h)2t3BIDQ_13A|W0!8-FmgWwTNr6hvaS`}SV{ zVy{Q&j?|PS{Xn#$vdU9^WBsH{ned-`pZ_G(Jf};34i$QYMzop7#Dx4Fo)a}3>U?z< zAEm*NWTMc7;)Bq}Oojg=Y?z!bBO?P*$_x*y%gD$e>NZ#)JKx}S6%gnWJ%m>VNZNII z`EJ*iGjOj$z+)hMfJ|#sa|s{3{NXzRn8dz{#(~o}XEZxI`)03K5=_o%VGNL`RgQD# zP6Gr~h$FOs{~!u_M7PS{0vq19c6Me#PXFC}9aaNu1N7Vr>xv_w8s;&DIWU}k29 zb~PAyG&{gZK^z^6!BYLRXPr~h5b9O5FMpQ7%?W8u2Pf;k#6gt3{sJ~`^eo|#9UU?~ zUrfG6F;11(aw6C~oL$sRIfN!iy_tSCO~iA6o_}BCHwsPIgX0}9>nkl{bhblV%#3S< z-irFie&0a7-C4oiD|>=Awt34k5KM){7QFo0-ap1ZH5!SB`ch^Iv7@|6e23#B3?2*~ z6R6j@@j`SU6Lbv=4{v;rt-JR2;>Qj09(Yyon6*uX$^h*J9VL&;4z*5|!we9ga#%M5 z?lauPz@P>U5+Z~F1B4Vwb@lVh0ZMnBjSvX=2%CY?sTIcT*D^tgLpMa>${G4qBymMdv4iwP>?h&HPqY zTCZU-fPtZ5uPL+B7@@!$+hEpzlMKJIM>DaqeuC|_wqQ^I+EoO#guw)0_bA}p0(OY_ z%-ZT=$IqmsDAlPfAK^I>nD{Hkf-7 zQ7R*!7~rb2i>mcBl|ZOcW$;A-8t38?fXgUG#>Tw>>>~<6kUv`lk#m?TFfH5(vfhQZ zD|ZN=BUv?_lWM5R01G0~AJ4}6@Fil>+)#H%yQQ8#mDJGn><{6UEkyWeDPu&g1 z1+g%f{d$=L#1jHx4*>*x%Co1tjdv z!5{D5p#XBFy;=bp#FhRW0H^9MPF5wDmV0}95k?;Hx8orZ5Ao6hvFv#gBR#8=7iiB? z2Fy{Vz&8Zq0jJDiMHQD^4moVY2D8D1WY3Efn5n#Raf!R%jKm~-{GsW6AS%jfmbLt&{u zV?%6;L24}$j54vJtg5Q0p<(8sqpWP?$M1E$-LFXXv;42?_#2!w8690L)S@xU7M6AM zKZFBBjJ{WggbAs!r^*tPyJoLb#(c3#Rm^_Fz9DB4_`r1Gzl%tJ>uBa@KomgsT>5MXpZwZr zY3`3VKUa_l{`apbxLaC9ecSJa-7&lNe}pvBv~z3w`R9z%rW3u z5UZ*2f)=a~e*jc#PD0G@Wci-68ab1?u;@48w>Eh=^$W@cr3W#8s#C*9Dt$hvxQ6Ba zeO65C&o*@D`^Jovu71UlcwfrtlV-n@03KGaC)3K{BG?8l4Dd>!Av8*mO4RHRYH>D$ z)GiQC7P7ehv)hg|;Oj^Z0Z?-h%*1~Dr%F@?NVrg;VA4u)_{=ELg`l|%=;?}#uJKBTvKo8RHU_(8#gLrS`COL#r+ zdnD-Sv0Q6EPft%1wY-1--s0Sk19as218?3TWWvTq(cL-FKz8C^;K0bzS$mr~6pF9j zVZCM6B>{aF+CGbm=e|Pc=xV}ck*k|;y@+W$U#`U#Io#UCMfy}*zW-}Vr*1*xfHsWy z5%xVG>!ruBt>N%+9bgfgg&?zvQ!Y5wj=Qd22_a<99MtZjCu5Fi1zmFm>s_nZq97F* z)9LE!0-NAVtM%OCV{pTahF5C#SKu)z>h3xGbE0l3ZQvndGv!wF$Q{OW;8JFXlxDt*AFU;o}D!S*>n<~CDB!aEv5PA|i zwUm`X0(A}O_4roqYeB;nEffbMtp4s!7zW9t?*$Jv!l?rS18_4w=+zMP&vX3ecObMw9vt#FJpR`Q z@Xzmn{(t+w9$t@#8wfuj`=#`nR?G%43`3jvey;v>gCAxlzQDhLBI=t~d6!6dna8)0 zRU{L@P}R-d9p;9{P&Nc#SY4C&<}RP0UhB#UAMY((+F`W@F7MJ)Z3Tq}AokzH#1zj{ z{R8eO+sFE-gB!cRCPJpJuN@s}pwK`@VgUiSZ%B{v9m6z{5b7Ejr~R9-Cs6?YoajJ@ z5`&)rAQ7@4vby~t3bogSMy+dUx?)Z`D0`%!;Esa$^5FRBND5?Gjv-TJRtf0}^y%D_ zZ^UGzq{0xzgmjLwj2||+Q{j9bw#A_Z3`qSlo@d*B_lSrd34*c#E4s$92xhZplQk}VAY`Y0asrW> zn8b6jgRr%;Q!X9^4v}GD6txh}!bMZUK)JO^;KgG2!R{{#*dtMQ#&foxX%-C0!h`Cw zD5zCkI+Bi{l?L9HSg@g*_G_O#Fz6pv=_-3y`qup+U()lPy}d}G%QO48ABSm8+k{pf z_{>23(g)USl+c{$i1L0%u{b;i+EFw-33@0uz(kwNtMpXBVvx}c40Sm}I^))&Wk*z@L71kL8RQ;I+*HWaIcDHt%!h+AfrWjo>GYSXF@a1TsVg z@=xl}Dk+UqZra0B0i)k{K=EebB$&)=?+fMXYuH!D|8%ka`nJwr0qsPlCt7rLbT?{s zkXI0mJV@$t?A zn6NaU;*?>=7k9%(4}Gw77=PVD3NJ(mq^;c^F>EN0UBD-V@^BZ*5?=R{?;6KwNc{m#p(yJ& zzsxmz4Gj&Z>pkgVvf)O;`Yh}}ol|gMJ4tjbAX%CQM3L@5999$+^>zS&Oct`5qJ#u2 z?h1E+OfLgK*>{&S5b{vt(@mk)+s74*M;-~eyf&YSR6vztbx3yh*oPEn$tcgn`uG7DGd|xfPa5)J^aM*tgNi> zuvdE-I=enFLQ02@!>lh|x~s}ZRRn%4Y+Us)gEN9d!K7QGK3eZt@31k>D;-X~4E1+3 zvRrrfjncye(7lQxQEv}ew*iV=SfccPShH|>F_ctPG*L1%m_!^>qku*q0}m_FVMxb$ zfZ!6$`eguS`2=^;pC*ZI1~>>-bj7|wr*1hEl2^WzshWxO8^U{8hA1(uE80Em1^ghGdUA?4RGf!2s@TJ#1Qc@-}4x)#Yl%lSGQ~c7; z&fMVV1RR07Z{@6pbA4UMc>=5we+^WD6NON?Ohz~or`&NFQ$m8Qg2Ejrv=H+z#Dg%|9;pvL-Pi{`5`0Y_dEq} zu8&Z9;DKA(8wkPRPieD50+AgSZjCBD8iTB`V0qV40^$i!pG_cq)f_J-AZj>dBPJ|Q zLp)BDM>KbZ#!lVAbsqF>ONjl9pkNYoF_mCb6D0}98nzx&3<#*APT4Aw&U@1Sby zH|K=C9%+)HAm9D-mjo;`#c~G*`96n*J$dyibD!JzLEa2|Dqr4$`#6|-Li9q6^Aec? zzHn09x`t;9hg%xLUIdgow1V3|aTn)=FOJfb&#jbSym%l82G)u%Uw%nf&CLKQv<$2o zU`q}S42(dE`Q23rY|mFlO0v>>O{syIX9fafMQQ1e5E#;jRx=<`$-sO+Tq5lg;Aa`| z&G{m{#PORz`3`?a6pEAupl<7f8YvxElFxPy4`YDaqThRhd=;^$MlL73prGI$2?-+- zPB`ZuK6(@mjrt>CzexjJ-v`Z}#hQp18z)ye4dS_|_~uQ83-;HD=~R*-v7w|wZt7RkA??-vu#jWB zj)oSmw>e&^R0X_R?%C4FI4vHt$H}oMUCk*T3I0$1fVb*F4V`{423ct>h-`1m~x~iSXW7F zmb?mv2bm6rQnKO7TD)$6cV~b?(rlv2u@A6>jOvXlS)k}f+1cCENPj*4ksKXOTUk*d z6^PFg4JU(vl+Qux1fZM@I21_41H+(C$fug8SFbDc>{%q@ohO~ADhq_{9Hr*wMFx8M zFf?p3#?Dw)F&TOJ7*HY5Bt55tKqC#UeIKs8zynfY4{bh=vkLLm7WgXUsy>j`r-R#{ z3}9cCFvm*=m(f_`D)?;Efz&DsB;iN^*%;*jErf8+vH8zu<7^1ZT^Y8xXPUr|O*3RV zuI8i-r8ymlbT2bHKRMV|WULHrK4|3VHVhRU{QI^m{PYw$w+va&tOD&yMdX$-(B322 z=Hkp{8MdHCLNtwxk2mj~+68|I&U)QCw@MD+<03Z=HFOLpMjtNB&vWodnwx(`f~#B- zpGx2AejoI<$P-=mxfwV;!lU2{6&bZOnv7$y+C zp{8^&6232I$UM;^Yi3C%dysmf3416RE9)UPO2LdR@3jYDN#WYeG2;^xG{F*7sNuP} zxqFZqx!!ovT30R8?q2pT+CstvvvkFHC~fZ%52gpbPYVzT%RP2Q3Mhi@ips|{dk&B&NXTi9Ec45IEx^ipH&3-4s*lbV zsF(oPpM^TObP+*nAaZ3wlLc0;(H8lYzA$gNucxO6bW}MF4MH$8bPTqDvI+n}n>Y-6tU>eOuuBcBZpbOcZpS+kxIHAL^>W8Sg$^6d*%v}(18;}#CgX#8 zr(dMB43&@%+xPsR8H`P|uHV z?5J1i$xSRZ50;~8U33z??dDu?$B2QaAW>3h=V3kze~v4|J}QHL>~=< zA3E%xhyCv8n1?Zq2_#2EjfC{0a7pz)Dv>*z(2`v&Tik6V+?=T@G}-_IMilUjuqw{{ zvQAkXbzKfwNR7z4krn1{jC_1VQ8K@v5bS7ywgx77nXt#gu?xJA2>2Z6!LXJR(wbz3 z;x^R!ePGoAnF}COxWJrd@B>ZNtz1dy{veYfS}?@z>M5sF&j(|@r#Z^SZx5|^ivX_# zse^`LVg{Q=U~)1!Xh{~p!7%;%_wR$p-riTfn0c1Vnyq+@7$nOL8<1Nallf*&Ou>+k zo}L~V2rL?c#~;`qR!KZefE3IQP227&M6o!C803gkMtE4*OQD#=#Akq3gN^eZ7@I>8 ziq}e@s$5_Y8xhe2E~qeK)`xcvS!``ncbpmB(mV0JbMkz0nEVD!2RpeW>Z%*e5~;?O1BGIosXX);@z;Va4c>2X{lyX)p{}~) z*&o%Wh_Zw^(}9dgwDn7axX7b0bya-1T(#{fd$4Bu?Y#g zRUwkhF@`QKgm{71%gf6_#_>4r89fWj4V1mTJqj)^yz}#O9w8wK_=qEAGLB{lEZ?H^ zjE>$;>-C4I1-iGIN)zqErNd@RuC$aC&~rwGwJ(_3*t9G!=d`#MzBD+=>g|1@tfp39 zS@xKT3G;atZf$L?shJu0gA%M^_ixecbbBp0(Gi%#-{@ojg55!QUeGS?0T3 zyE+F)M}0H1TY-UrGq*zOk}@-CA;mRXav8e2PZ;k0&B=NAy|h%{#H1yy3jX6dJT*84 z1vlfo?{pnEnwK_Omm7L`2tDiVO%93@OU3?PTN`|S?w&nh4%6i)cdntld!B_}xgHls zh=GOWJC5b9XI@Ga92|V-+Klj}%G2C|*{!WROG`_$qvddGFfr6OGMZ;-q!AXftAkmi zhv&1WdjbFPgGWa-Nk~WlGrjUC>h`M=LaKZBW6PrIYV@4F_01D`d3kyU z1~DBSQVg^vI`JdN=g*%{o{0=>Y%s%2NQjm4l1H!S@_K|AWvb2B%uF=Cq%Ird<%Nao zuC-)<-TmFzxJaC?iyd3{ZC}_qc7+0F>O=hBECV~Kr+b|wq@*dSsaJ@CX}?JNK list[npt.NDArray[np.complex64]]: # get the n-qubit paulis from the Pauli group # disregard the n-qubit paulis with complex phase - n_qubit_paulis = pauli_unitary_list - for i in range(num_qubits - 1): - n_qubit_paulis = n_qubit_paulis - empty_pauli_list = [] - for j in pauli_unitary_list: - for k in n_qubit_paulis: - new_pauli = np.kron(j, k) - empty_pauli_list.append(new_pauli) - n_qubit_paulis = empty_pauli_list + n_qubit_paulis = [reduce(lambda a, b: np.kron(a, b), combination) + for combination in product(pauli_unitary_list, repeat=num_qubits)] return n_qubit_paulis @@ -156,7 +152,6 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: superop_on_pauli_matrix_transpose ) - # ptm_matrix_row = [] for j in range(len(n_qubit_paulis1)): pauli_superop_pauli = np.matmul( n_qubit_paulis1[j], superop_on_pauli_matrix From bba28b63258fbb118e9152dce3fcce0ca59a017e Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 24 Jan 2025 12:13:58 -0600 Subject: [PATCH 11/25] ordering phrasing --- docs/source/examples/pt_zne.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index c1dd32a44..c89a449d9 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -67,7 +67,7 @@ Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the correspond ```{math} \Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger ``` -If $P_i$ and $P_j$ are $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, +If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, $i$ defines the rows while $j$ defines the columns of the PTM. From 2fbf94f1ef7544d7bafb25349e6dba2de6e209f3 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Thu, 30 Jan 2025 17:54:59 -0600 Subject: [PATCH 12/25] some suggested changes and example twirled ptms --- docs/source/examples/pt_zne.md | 31 +++++++++++++++---------- docs/source/img/pt_zne_30_circuits.png | Bin 0 -> 25655 bytes docs/source/img/pt_zne_3_circuits.png | Bin 0 -> 24833 bytes docs/source/img/pt_zne_5_circuits.png | Bin 0 -> 25265 bytes 4 files changed, 19 insertions(+), 12 deletions(-) create mode 100644 docs/source/img/pt_zne_30_circuits.png create mode 100644 docs/source/img/pt_zne_3_circuits.png create mode 100644 docs/source/img/pt_zne_5_circuits.png diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index c89a449d9..f204cc371 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -21,26 +21,25 @@ Specifically, we analyze how converting coherent noise into incoherent noise thr In this tutorial, we will: 1. Define and compare coherent and incoherent noise -2. Apply Pauli Twirling to transform coherent noise into incoherent noise +2. Apply [Pauli Twirling](../guide/pt.md) to transform coherent noise into incoherent noise 3. Compare the performance of ZNE 1. on its own, and - 2. in combination with [Pauli Twirling](../guide/pt.md) + 2. in combination with Pauli Twirling By the end of the example, you will understand when and how noise tailoring can enhance ZNE. ## Coherent noise vs. Incoherent noise -Noise on quantum devices can broadly categorized into two types: Coherent, Incoherent. Each has different properties that can be unfavorable toward a quantum circuit in different ways. +Noise on quantum devices can be broadly categorized into two types: _coherent_ and _incoherent_. Each has different properties that can be unfavorable toward a quantum circuit in different ways. -**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$. When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. +**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$ . When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. ```{note} -If $\mathcal{F}$ is the fidelity defining the success of preparing an arbitrary pure state $\rho$, then +If $\mathcal{F}$ is the average noisy gate fidelity defining the success of preparing an arbitrary pure state $\rho$, then $1-\mathcal{F}$ is the **average gate infidelity**. ``` -**Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. It scales linearly in the small error limit. -The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. +**Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: @@ -181,7 +180,7 @@ print(circuit) ``` ```{code-cell} ipython3 ptmcnot = ptm_matrix(circuit, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") print("Ideal CNOT PTM") plt.show() ``` @@ -191,7 +190,7 @@ noisy_circuit_incoherent = circuit.with_noise(depolarize(p=0.3)) print(noisy_circuit_incoherent) ptmcnot = ptm_matrix(noisy_circuit_incoherent, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") print("\n Pauli Transfer Matrix of noisy CNOT (incoherent)") plt.show() ``` @@ -201,7 +200,7 @@ noisy_circuit_coherent = circuit.with_noise(Ry(rads=np.pi/12)) print(noisy_circuit_coherent) ptmcnot = ptm_matrix(noisy_circuit_coherent, 2) -ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1) +ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") print("Pauli Transfer Matrix of noisy CNOT (coherent)") plt.show() ``` @@ -229,11 +228,19 @@ for circ in twirled_circuits: print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` -The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits. + +```{figure} ../img/pt_zne_3_circuits.png +``` +```{figure} ../img/pt_zne_5_circuits.png +``` +```{figure} ../img/pt_zne_30_circuits.png +``` + ## Noisy ZNE -Lets define a larger circuit of CNOT, CZ and H gates. +Lets define a larger circuit of CNOT and H gates. ```{code-cell} ipython3 diff --git a/docs/source/img/pt_zne_30_circuits.png b/docs/source/img/pt_zne_30_circuits.png new file mode 100644 index 0000000000000000000000000000000000000000..156016294d5a0202c31c4723e7f954f4498b0d2d GIT binary patch literal 25655 zcmbrmcRbf^-v|6_iw2p=h)N|p5*Z~5DP@z9Q5j{+$Y@w)r9#TcDkGtikx_)E6_IQi zQ6bsuc^`DG`@XN|kLS5wuk-44p7HyA$8mf<@AWyZ9Y1z>Ej24Og+f`Yq$saOp)6&l zP?kKUT8aM>RUpQXKO`I#bR5-f&Nw<7+n=T!HFmT;XXALz!esM>)AkM)HrBfZ_6i8| zZ8mpwv~`da6g>aW9}uvyKPy=Kh+YaGvf5Tr*MUM=Z%qDKk}UhsfP$Zzi(wv0)*vMRV$o zfst*zs?h=hGLzrv-MN*$4Bn+=k$|XxVe{Z+_;fK5f>K^a(MT3 z&-te1l>S(wi$AkP94e#tX?s)_UL239OJZ%VOHm*G^GUU|wUt9lOKWI&_|=saG&k6usc^^D=+;X~u&hvnqt!hU=E_*fJS?%A`auP%i?T+nD;lG@JE)8CVD zrJ7SMDJe_4m39gUl$Qr>s!7upZ2bE5pg=_F$B%1GD}u|e(QmiRcRl^Cs;UCtGO?b4 z_m=Ka@s~HApZl^Dm&&&9!kP#HgDVjc+DFAxKD+fsJGcM(6@2B&QZ@InvTW75_TE@8-)nE@EoU<` zh1{oq=G+lEO|6%0>2vhno;a`hIYnhI2vd)fDKUFCk z&8^$Et)_7A+?i4`vd6l42gSduBE;%PNMIlX>V6@XyxP&AErr}-}~ds(}#Uuo}NwWJsKmWOQGfToG?x?4dIa9 zFjzcalxx>@C~PEEgEurbHsj!tv|hZ=rI-AJgZH=yqvDafrtdxk)Ase4rfvX z&P1yC`ukIz`|@PP&!+6F`T~dD-K8j}zC1bI*Oa}BRor^bkt0VYrlvZ-+7$DL&ErYC zjC>UDXm7vdyLOXF`^(F?)iaR>rQ$ZNuW`Zc-@Yx+(+|Gzv#DdGN>-3@1UGU>QIYCV zdU{Qw61_^aq~_qSVJtxo%8l@Ft@H-*^GyuWZhv0l{fLd(;40W99rsU<{Y+yU`1bZz zUqc4xxpU{L?;lvUeC5i{oHkE&PFcIo<){;TY+CjEv+gp=?GO zxZ}Ge6doR)elG)5B*w_d$U8C~l9G;nmsYN2eOX?x<&31xF+r`Tk5B;2L#k)8Xx>{S1hf$dD{r@+{}n-!S8pw%buvm@P(OibppXY!~Fwi81gyasJ;Uh_e!va<~HlT}_q zr{CRHt2lb}s4!losMY5+`@h8c-MhER(4}L=kFPoFvFPy2uOG&GQnwEe)}!2Y^z^L6 zi#YS~uJNC~n*NSM1~P44Re8B?qr7bF>`N%Z!oo?u8MU82319f3Lq5?yk4->8fJM~& zc+dyNxVy$P9=`R@PQPbb!y(1O#KgoRY_k0GBi*amQeBZ}V=m|ANf^3)-}a+9k3QCO zD&FU+1Q|~8g4s#k~J+VmGZ>6T8p<`zDLmM#}Y%OFFI(2Dk6iuYD$YbB3 zAXcBVu^vpavwv=t4{t#IcNzO~wthuWLc$i$nc>5MoU$Bv=l!zD95U|yFJJE0FZN`& zDVpTbH!v9Pjxg$Me|6QZusA}{XeC9|x;eK=*wD3`v0(J`$u}QADqLN;cBrpri#wLM ze_-IF-#6Z1ch(eMbZ%^HJk|3dQb=690uT8*mPiNwyi!~&J2NxW-qCUS=hqz54|jxF zGuob?-^40r>D}IbilXUdbc9bomln^Dtft$_r&G8%&SQVeX=yRxChdAYY%G`^`)b~p z$(8T;Jzl04Yu>yiUkqzr)bONzWs3U4>H^mh-a^^=vB9bz@4|NB;fedMW2bg@b~ZCJ zYyYGwt56jqO?FgCeZ6Mygl{#jHd%w0^b)~>p{11ep^j1^Vd0tyni+gJxk-FKZ;*sz z-|=Ub_0)q!(*oYK-7z^X!zLf@iLWp9U0Z6EQRw@^d9br9MD`GV*!K4~rN%E`mQePb zYrHf+H(pFC!vmGbE4#EGpTZl<%*o04<1jT`!8wd)heDo8J$PtRKtJ~q-Ihb`#q+a* zC8eb`4~}m7*3%Pzas1a_=U;5taejD!tmD60N@Jui4vn{YS*_9Se^*mOM>=4l(ygJ| zBZ9_5?XM_v;_hN*Z)l^WFEZH_46kf%Zno{MWZ$}VYx~sbKoolgs(}xmh1SKfkG76ic-`ckcM3Iax*J zT==QCWdF?X_k#T%6z^--uI;@zb}nU)g|j+d+x4-ZUjy)P4GRUgZA0%-f1pycSDcUU zk;Zt}#Bi5SKtMpQ^I%MQ9(q^F=g(TvHfY*QFJYy=n2IVWkm~5}PWqJj=JK*tuUlR? zm!Zzcqkoz==VoEQGI-6;I;S*foYpb>{p~IH?%nF>o}R6urkJ4aGxqG*$dq?+{BbV% z$MO43m+=;79~B;Y_I(!^NzBdF!9MYi+mMX8x(W7P9?cTIlYS!HmrabC8@Hw5H z!pqJSDe06-*?bI5^UKLC-aDp8%)dNIqHON$>JqDrmh~!fGuOGNoWv_0L#sLM{(ckF zBwnHN+JO_Z>f8Mk2oBr6efytZEt_6;{i;Dr+ae&a4mg6s;XJT!@7_~ipP%n(@|S~YEq_EgMjGyCXI)C=Rc$0|M~fq*~n{FjB*Ok zgKS2<=jU{j8km`xO|itORF=lYOi0;^J%76C`S}2E@8v&Q3pW9LdS_=lrMyr;5!LDOmiCd0lQE3Mdd78? zV2>Ia8WJeCbm>xZX_S!d?%^t%`2mP$r^jp1te;tYdQd0!c`H3Vz2na&M%nq9-IVs` zJcnGbd6_d+F>AS&-@J8eiPW!;=50lV`QmZh^xKa;`V$qs&si=>&A2hsn6-FSWo4y# zeQMa$MX%1+tMR+5@H2IN*(jS=)6>r-e=-Vugw zDRq--Z5O6(0O>O`Ghd>S3{}a_v+%9om?J69r>3tTn47y73*e-w%q7%t0Q_Jq%Rk>g ztvYk&42y^v)pP3>>Lj(*=%Bc!_~c~8gxp-0VQ#RBha5(A7f^tLVq02T-b>k_LFqg* zr#lucnIzoS(Ps1;=={~|*NGZye!kHE)mj*U2mJ{B9j_`a)1cw8!BqhN6j>Fr6MF{U zJ#`zkd}iIkitn|xx0k!O=e+1I>*UAUhOR3T4h59}9cNt}w=NiOy{PH=6D0&#(5NRH zYjJ;)S_i5qwlX_zdby2_&AG47*P=bI8gfy54W3}IqaT21$KZ%SNKnw)D_5>iC|F7* z09wN4)teI^Jcw6+c#Og^-=Y6G>dwu$_*917)ILkwJjU5CRrq+nc=5umnZre@c^rMY zgp&d>D9?zR6$1%RlP z`tgaO@P}r71Fx>G3X3@z`sDHV-`(%= z`27v-(m<$8zt<++*>j#XDk^H|$J44#A7;asz~3D|e$2f7dQdE(l974UdXCp#nx(X*z-f4h*WZRC+%$982yeV$VWw?V$+ z<=EKRMByc*`GK&o>^`#wtvzi1N^&rYi79FrdIAUQo^$@v7spP$_NVLr%9u7%)L(0L zA{@7B3Lxko5THKanwOi~-t+NZQe~mX^d5?ag^V{!N522g_vlvv*#5@Nxpq3awp^f0 zU@BL3sy{Gqw$^Daww*T!WYGglJFcPO{q36>n~XaP*2b!#+`hfInaWt%5cKcVaqS1Z zv60G2SAdX1Wap^V)jz3KY!WrU|5f33DM}e-sDjh$KH+b{>Md;t4|)`#y}b$$Eb_;P znYI;q+!43oFflc?8)`owHCm_cR`#GN4iB9?=36{RGu=k})haIhYQARh;({@{2*Izw z3+ld1$ zWmLnH(?xoClbE^$e;SbO2TVSN<~FQ^m;KV?mRpz_g(mL>DDcJ(4jhd z=Odk(qaI<`)l$5bljJU3cLj#yX0BD6N01@l-(n&iA|FWcHso#3ea(oAP-Wtk&+Z^!>kl7p_olUV zc0P=q|6V%7jB2p6ETEr5sC}5-0{>&3Kfd!wvFGe5OUvsSMN`UyO3_VH($av0k59%9E){p!8O#Dh)6*}!Hn7qk$3OP z@!YbQv1;$HPfPkGx^v_1*>AU0MaO{KE0Q|bZWLLLN4R5T{ldDMe*v8!*J&WU{Cvjb zHnPnnY3D@EB+zvrO(4hEN=$g@M>7+t`ItkTTuIb~i0GdVZCcqn zIyxGQy}VKeC5CcWou2&NJuy94>{R5-bskW&`n_M#}~X24pJ>nb9jNRboBN4^Pha49N>?o(?w9WqoXLO=KU<* z%@iVppk7tHzD7^hWN*wx0!{W}ML)M`dt8)Lz`bnc8dAS56?sf|hG`qV!u!Wov;?#7 zKnLp|0lO3iV1A^NwRC*2O}p*-RD+S%lIod=lAGI(+_-&vxtEuhx1V1E_UM}rALK19 zdDpS+y#%~P+3(`AS1Vo52e5L>wrwi_Ovt*a_Yz{civFfKC0OvAPwyE3#_GP$>6;9_ zW}WUtMs|RM_^74uIn0#b)($?t*SO~_ zhu&iolan3w+D4kO1A~JhXwcleywuLWnlDF0FoW6$rfFw{_gf@CW;S$LGFULOt~{7M z;IYArPSmlNkUf+?(v!{?<1wZyub{xSdpG^q*cggxDO9Gd7Kb&R0K<-i^Ic9)=f{Jk zP|Rx+SEJ)zrC}D>%*Urv>yDR1+ID<=ye-5iZ*TAWC^d>lj+Ej{gp5m;6Sb?Sr-%H^ z+;rP~ClF)>ZZ9-E+!ysq%c63{kV{MO`v}3VkK%0_^Igd&5)S2h&Po!b7$xgvnBbS5 zdgjBO%QnTcOb7kel@V=ZU?2cb8KTcBU<8GS$D;pCx%2b$*E~OelJxHMlR3VHh0;wq zHX*1%TtY&$s67V(Mvc#$@kNQ{+Oj1eJF6BfauiFhb`+}OX(4kaZe-g$X> zQ(6bZl(*d#w-KQDD+DlwP2Mdjk;`)Yu2%EdU>{e+dj&uW?~IHLtbe*MU%vE@49(kQ z@x4c*mQT}4_tqC+Zf$Kf0e3k4nEFmc#C9Il7(VnK0zu^!75#H8Cx+rcwDWB*Twt=#)0Z0gusg|G zj89c}m!svb9Xn`INa?YtOKNM?q{f>apy=g&(A*|yRKy2(L~j4sv13HR^NLPwZQ{JwrXkHtiO3)*J>z4f0R#sNV=g;#O6c(0&WS9BS zFpE}Bqks|^1%yyiRi!!u(xYh@r|w^|%gz%;fG}ag81LM>7k~wQJEye zav@e$yJlu*#jO1v=Bx6^uSk1y8DRy45as6QqxppCJ-N^4w~oC8unD{xnKKN^L< zZ<-h66TpQA${QMT0Q_q7$lW-tguQ!d$+GGf&Nfk!PSga+5FG>jKc(smG#O}fbnNWu zo^|_eZEaI3HY#2#<%Yv?NRj83F;F>*+RpJPH~}4a=M6d&f})}fy1Kgke#TSN(?s!l zm8zLWkur=*2QG8z3KAEBN^tdAv^23vRwhEEy>%-gODS8=0w5!$f^qq(RcWy-`rz}o zZ!-ir0FBTxFeJ)U(C)pVDleZ{wy)s#s^wam=ATw$GuAXRv$F@SpkeA`-zP22j#bDy ztsE2mXQ<;Kp~^r&0wYl)y;TFz#Zref^%Wc)uB z&?TETZPL-xgOtgD=6E`$3)J++o+VKZD z$ikLU32G_iFK}m#p*ojuZdql%I!$cQTO38X38b_ zBqsH#n$V$nh#d4+5S#!?tQW@H5gvHG|ywwi^20Mifo(m}b*r@oi%rBTK5NtWXa>@>KdU!($?RZ)xbI{f{b1I57 zUa*)uvR*RKKnb#fLlJTJ+sr)y7u98A(U438mu2>L!(U04vHS#YSW>u5`T)&!TDlWI zxw^UaMnjL4m2I*qxJ<-RVD1|hEf2SNzXVzsF5hIMk#FbAenh;zrN+K}~U~AFFy8m7cfqV%C3vFn0vz|=EE2hfQF>5COG)+y{#IW=FuSdKpoJdaw}QE*Hl)%f7K|7)Z*`cmW>5It zyO#bJ@T8@M+3=9bpEuT3cHK z=fIh*K#P1Qodc=x##^(b=S!BYOs-l@L$k}Nz^1LJ-pwfWdKD8FH+QXx+QIR7YXGXy z&`_Nh7x>XOvP{aTQIWe!d}x3Kl~P84G_Rp~j#dF79|jT=f*c++GBx%y0O&5&OTbEk zYG+n1Eb&@3uq>I0_GLiK#7w1J%C>4CxS#@(Vldo+2+6kAR>Q7d2ueD-x?#Km-|Qu# zqNCR~*z&WH%MrPsDx;c)4!(2ePAY0@wZYxO!Uv8Yr$vECyKM!82aV4sJ3G644lprJ z=@yUqrw40!j^6d29v>WVJ`pCA8bjk#Qrj+ZEF<5ddP236^-igaeVvchsdZh~j3Vqs zGoNM5Y~8|hx=P{PIX)8;6VWk+!-t7H!#a%$=hxY3vR6XF;)k=neaYlV@2-yyXrWOO z4l5y^RX4Wf*ccIq2gNeieNqJE^Q!0U6qkg=Mr_df7s<*jns&y0-NlUPF+D<#?ma?} z*_=AaC3MQZWozwtyz--+=WP0Rdv@Qg-IC1R(yB)+@xlAi$g7i%FbB;-iRqvJRUNlX z^1=@)@L4uVN2<%0FW<~r)}Bd)wSVAkw>?B-^K+*enb)mbCnP4O0BBi07Z@0*+kw+r@vi6|ZMzj^NEXs=WXqp4HV!GLv;u>?uuX2Y`z)7Ra0T@73F+ zMcn?FW8;LmwE!X0ZrE@IJJae%)yI!zfg5)Z!DQ?JTUJz2d42!D)%NagAC#*8;sbbN z5(E^CegR(~Uh;=nSIe@iOEsMs)7{2LY{k;x#&8u7-Yr0hHvD--nb zp7@qsyJ#LieoP27lYqW?b+*7_^-6iWDguZQYcl?WDV{HHb_Oi_ZkeEF2qAFNZas0; zEa|-B@2^P1ssDhpG7mq=t(4VE{!4&>v+HpS$>NKI5QlC#JcPv?E~$0=_$5LkYFRW5 zsKWpVd2Wv;*7RF1^cV=tD>ykhVID3cmMlyryXmp>qr+$yqd!F$uLTA9q^GBsGi}BAN4>Q9K3q(Y?dZouT#BWEjxIWd? zwV5&6ji?_~yPwY2Z$Swowh@u8Q1m(>yx%OijE`5nd+mcfsfK835WKb@i@FpN5>h?~ zD!POM&2NXndvt?jt=g1Cx9>?2L^+6XJqJ(%yHh?d&70ISrl{%^((-WSGl*hzbIb$S z-&afdW6eNEcjBl>=-aJd`xB-lSnz%FD@z$A@i3m%HFT^=SzMwe-NmD&&LO1hl*KGS zmr*C~2O4Hq#)C=2xjL_G7JCvsJrna(bzUxU>pZ7_iZ5TjoY)_|Rk0O7 zQ_B~36(dx2_ax!l%G=;OmCNMmKekfGjlQA!F51g2Bg26uP!3IExK3S_3;#-ter#Xc zpG{&!YlkTENc0%0*17ZN#h#-ISQ?Rzd|Sor!Oimvi*Vmy!PSks&$Q3YPB-S-Z6S6B z>hKm|P_UId!lo-hM%65${;{Y|oH$WmM1^I)GxE+I#pm^hB@ISVqUo5JRxYSs98xZq z5cJUXaR2rubT6#*Bs)}VVz%yC7eGrFnk5t#sZ4$?LgUH&eBedc7dsfJ8=IO^L&UI( zL78i_gK>YB?9n`q`FVLAV5&oZ{w$|#-M&2mguB11A;ZWIp5Qb7t=!yhB?Njn@(Pe@ zjxs!2gcFj3pTI8!tqS|Ze^l|L4!bF62ngt z`!9X`0q?@9*?4We%mf9>7|Xs3e8e+CKO{j5fL_g&;IIu^?DMbfl<#fsSsb{-xyO*wF?yz?L7 zUB3_KuPJbKSi>qxb+#%-lM@=iK{vPjLn;74h=^&ks2d#`Z5LT+n0)6Rtzn&4(qHDl zq8glUyY_>z)bM~>@TW9uRw+L&CD&b+|E*yL#jK*hjUoN=eP9cmYxlXy-oD1HEl-|4 z%{uo*gm_x`dWENFKHi9lc^n+a{`A`&F0{%M$A_x#5C3hJGx^~Ort<1nd-fLg^T^ut z+z|CNyll+8`k7Ya=c)1UNPB%rfQ}vTe_5%miGQ!9^M2=sF9ojgaqZA z36g=Sq}hqARFkn)5rBJi2W9dSI);ddi0If^GqaapzT_$A!L%S7tpnmY<-Vr@X`|c` z2uPsuI51}HcV6IgiDh-KHJ+rW^6~KzJqoVZs7#o$5B>~ly>=aXD^};+apnyG1bC63 z{UdMPx(ZEAOX7@E=0Ynuax}dfA9@XR>t$8ddblC4t~2hs5fR}Bc(#;+zyOKfaPQf} z^s?(=nC$eAr$fMi$UC%p&3ov-xUe>(aE$d*h4W37NRbr*O#E_Co=E-;w3>wQpy;oB zv2Fo8A2LA@28OgiPgQKlpFfUpfj15h5BIN*#4c-a37m$2aCKPN48# zhp?Pl6$w&F7$cNCv(u-E72zKeBADG6e%nlr$~d!6GWF-J!2VkKoyYnf=^IS(-AS+< zmWcb5YtK^qS@xkK(?HnsU0VY*PcGhbz-@ZTfi1`Su&KF~lxiKgyf3Nn+~OwnKWKWq zU}bIe*1;Hkfr>nb-b5<&XpJt*{#U1+e2z&oH|+`x1Ai}v^je*3XG#g-EKs9MQq#3G za7xkIg$QH(-6VB8f=?a$>sDX5aDjE&hnCb_B&O0trPNv_2jJ4zCP|Ry@@jSTR82}Q zG3T?aTO^4YfC60LR*WG>Kx6(&fzgAMU&mHRdjhi>Gz&wIvwH}5`M>IqdjfZ#MsE{US*>b%J?(VtP zf{k`|c4TAP*=5!J#8XKX&X=+cRQ_ZY9Z+3;+;QOZTEJam%4?h_e|v)T&_d=K%g>KC z-W9XrQ8iP5M ztS8a3Mjs=mt7yU_qW<>zl;Xpf0O&(q5bi0L&({S0i;6z0ZFtxH zTg30cn%VoC@UTRrq626mRaR0UKwUz&E6>7??*!SXeFk!!>}wlMGYcsMi9Mt^)*y`q z;dm)z?F<>@0<(FKl6@p{rhrjX7D7l(O%1E8xOw&du3lu3)&cZ26l>y|G_1aB>YHCg z(sH3Eh6=Y6tP@6y@8=hD-PI51O)_pia!X)mAXEFO*#TuC1Xn?d0m624&~%lfInnzg zRUTxG{`{)ld*S<)1#lC7msbFf+xN{IMI0;qOFGFxj``J`r`|J3R7iiiEwD<6 zxk`*6kEuVe0L{fJ2fpSATDKLYw-(J!4OkY7Yc4d|H;N?LLbZN<1u_WaZIS+opz#FM zyZ2IFXj(3_qYXr5f=1f~5$fs!Nr^9aMd}VhTz@()d1c{Z+0!$_EB!AGF=ZUUX7i36 zRBzwD)wFc>^pv@N{rV{zn~bb^I4%D$IY1&ifS9HV2^U!vv6CS@Tc+Yx?#d%RVXqvb zbUaJjB_>=OGT4~*_|6xm)5PXvmwaxQ=zlkO`~S5o{yU8XbwwJ`*2$@U$8o}%VQZJR zw6G&qR}OAT{8&Ju(z-e!dhMXpT%kYI(F=FRt;8wwG>AU-_kTSsrNwna?w{M;re2ZEzi>lbALkq!SRi7dr> zSVBSnJfxv6;5J$X~m~XDLQ%-m8%w!myf>l6#HrTz`xdBc@++hSP@t#7~j9y<$Pa-t^-LWISPJ5VRJsji-$34#C{vLE&Ty0gOI9f(oc%NE-TaAc}%lG7bGse ziQrxcDnxdmv|~?{dd*K8LGU%kCL}g4EeD6;uUlW|AZ`7RqGvC%I%n$eL*vi@X2Ez+ zIm#tfnaSmx9)IW%G_0?Pb?w>6XIQ|3TALDs-9-So>&C+lUX2 z1z^rLK0e;SvS+6%etgr^0dW){GZ)FQGbHtkhDD(u$?+O5C(X_sR2zuq=3^)PjM#pj zj`{vAprYXd2G@yKi=Xq3jpZbXB0R=dFuM^~cnJ(l9K4OG>G&m8DnErkai3oF_V-`E zwOy5a^JWTQ4Xs=|77OfVS$v-_eESt}fW$RUf=wnfRl7#h?Ay1GPxr}kEMZ~!i&(3c z`X20+H>jCw@ZM^3 z_}1PntsXvN|BcaXlc-;I2@@fpAB~Mo%c@?)bT^tYo~dRtp1jvz-aDK5GE;(&(W%Gz zdSJu}Mxu3;Uq;_Pwb=WJ9-6d~P}2V?z=o9=(|Kfy0`&Ytm!QFuC|%SnpcSttQhK~v zqeI;K=+;88)=ybIfa&(lGJu z*VAJ~aY>?5LgO?2tFglsgeCK=xeMwB34t#N4s`W~lIaexq0b~=AeS06nVjO<~0OV;iI>I zh}_-pK+MBO`gt3`Wy%0bV2%bM5Y52A&^OAVDGxliGT?E-l`DQLgEEfmu!{P{bwzw5 zoxyyal@C9)!*49clJe`Z&eHF*-tvC9FH!PaygsOEI<8~xyR`A!US=P2?AUw7k$R9K=|Q0t#mq zlD|}3?bwEhD;iJz`A)e6bqj6I7(NnY*{~my^BjE;S9bK>i zfhxX=$M%tIbD8C zRaJ0g=H^+iuo*9fUY0A1d-l+QlGV%X6}}wY?6h(Ff_Db2yvGW{t7zq_OGuKAPW~m4dvU9) zASdvPKVaC)2Z=v1-S<}l6yDd6aN2u&{ZN6)uoG0*e>F_J0y>x*6qkYYoa(1%RSDUF zGrk{q;8@h&%T5EIm$=O61S1o73a&GfqKwTgEy6afQoz1&HC~@;SkymGu4QCK&btD@ zl4Mf|S%k<7HmI%orT~Er6_q*hzUpi%Z4yx;S_RR-5rQ$sqa^9nsVL-`k+N71<9k17 zY`)U~+15K4d|&LoHlSY@Kk>m>pP-oA-#{9~I2Y~0clzI(1Z|FA{Bv>B!^lX-uChh%B7qf@iUcCy8TP|n-&>m@JDoQkxNs$ z^ooZbc6P$C92yx}Mj@;fV>8ego=#1`x(@=$&}4mBaQGwZ)aPxe^dJkq3NS>-h{93| zq$&ReDU4z}_CuFsyPKGxf}Ti^SFb926S_qhk~aS0*&^GB&p-086Up=C4m}@W zwzINc2TN7jM5uZ~qg@>H<7yP%#Go=C!(6%T|7u-Ld*jp>qXy50UY(xmAdUr{k}}Wo zX-~Ynxt}M>m%TNKln}ekr*+;~qmw@vod^4^&6|? zAyF}NqCI_%th(1WI2BfUf1=8|5SkIZKr@EMlnmzoQ0!?)KU`QjifRjOT~TepPO2?m z9qqQrGJ~>x4B@7Mjs%HWeQw9oBi=WX24o(E6k{KsS9NuDv_C<&;`QY4!WZ@L^_~+Q ztB|x?P%lSEiO5HuGl{>xy82FAOr1CE&D*y%jmWfS3ljH0S%eF=<97{xBH56Y2In3_ zO2)`%toE86W$x_kwC#S!_^r3M>t{~eB4-eV(22rv57V4#QyAY{-)2<VHumdA{nx1VbhH|KK9m_Xcr-`Z3iTQEr)}> z5#j#vh{v|Q#$1OSo`>Dv5y&t77@@ES4lN6bWYQxL>I_VD?l^K+8_PPGJX ztGUQy6LNbyczH_zGlijxq26VG7_n)|_raDm#=xKX*XR65zxm?rlI=Y)_SHtLvIVj` z2wvLUm&!`=p^L8Dk5X>*&x3esm@{1`D=SNRi70U(NT(@22(*xY^e!f6Fb&JzA1f^_ zorUS5f~o#Alry>yALg_-V4mm|M9Ze1T?;PYl8v3Ndf>DeT~TLdq978n9NIgZwA-_H zcF@JD>}Zzo(%Dm>67d(CQZVQOdh zpQPj3GB%#Y1KR7Z-puSJnk32v>og>lEX*NWR;YkLA;>H`hH<}Fm<>kz)x2&u*eXqi zwovb@8|N|X(vIw(AJ#3InjpRuvMnUjnAR+lz$;)m?KbXY@zJv{&de;ayyywXZDOB8;+4UH9U_I(60 zldeZW2u+!vPI(w32l)u1>1@+UB0bfM!CXz_Lt8wEDIuR;B;X+XZp0_lG|nU0i%5W$ zq;@BWcpo$h5?_nqE5(i zTt-7j;NsO);9?l=g5ypQZ>ZL-^M$qvUoG|7jvg|RhO8qm-qIpk51jo1r$>f-DJn35 zR46SFAD0s6cb@_wSeU{ii65l8Y0$>1u?I-0NXsZvQx#aj!7K)=dE(cL!5g8Wm(jGC zFol4XN<>aF?HJuuu|N>+g|=O%rjY2ly!`T|%a)NqJaV|F5O3)3QczGJ8q@EQktGzc z&;ET%1qB77CK$?jg`sSc<1BO&dvGk8nrk`!0$L5{W+^HCzsot*2N}or20}Cx%$A9| zokFZ#(;`F#v{#I&D)q4?BQug~WbO`dtUjjzfG7d57L$^+5Yhiwv!Hz)6&_P~78qR_ zU=BTeH690<2>>QWWMT!>b+9}W7^x(&O4J7b=OjO|QBETT-z16&eM$&3o85&A z<&Siq3ZczXo8Hc0Nd4>BQkxpdzi-qW(5gei&KSxO^np*gjP)%o2DRnrsr6KqdDQ`x z4gzx@p&}t)Mny$+oS8}7y7?u7vs*3L$j`{QF*2Wi`{BcDGBU9aMDWkIWN*-@#F5N5 zSe=Ve7fW%BGrwW6t@I&D6U_4CAOc?Zt|L6Ic;@xW1+FIq@o>O*PN9JHpDxbM!2s{U zXSZ-)ma8Fa8W|ZO^mzMX!4pFgOflWAA-9mG(J?Cz+z5cWYdkk1f*HNykL7~=-zj@@ zG~U4uGos_vAuyp5;0x7TW53eXTZ_CBUW3nAyMBYf5vH^bFR5+lRT@@4#|{er`Q7$c zvnFZ11)Hc$wy?j4KF_x#%Kd6jW@c9E?pX2Sw$WXF2kJjT9}jh>EoXGFj_py2((X1wgZMYFVFow_utJvN+fBT?*)aO~-l{y-^waLfEUYfK7dbzuCJ+ zmTvYn42Xd;!n+&_0-pacrbRVf3Lv9m=c#0G!k1}$>K`!RPz#;Ws>AfaDU8yn`2mmu z3H|OQLOTv02w!*vw-VHp$WB}zK<4pFy0jnbr(7__f(Sg|VW6wd3xp0=s{66SiTEc@ z1j{G?s&&pE<*GD41`Db?WokI48a>1B+{DOr7@W^# zbb@6~fX9Xn8_3iT6igEY@EY@-tb8(P)~|1Hd6|q9^%SQ50?6m0N_C-GmBDf*m>MbL zt`_IEbo;M(smP_D=#XT_5FZYEs1?I92ptyseey(A^gcgO8#Y-_HVl+gF2M<8fo@Xq z5m?@|M;QblZF4<1?TBCv{ZuKAP1Osl=$2cvtnYxxgIn$0le9&y~d$L zj7K)Bn^Fv6GIIYF5)!4rCZ?3JWs-adB$Q{6@&SwP$hA#%^mV+p!4`rj!UxqkK z!tn4j&@ZfB|3r!i#I|l4mNe3~SJ6ea@;p#LS#HW1>kc>|6P0}AUok1zzr3xGtNgEzyLTW`pMJ2Gj2qz)%>15t-68`k*6FHb5$O8j-7-T-|=H`}{aj`p0yBY&Y z#703-f!r4vXGWSKwQKH0CIu#Kd~Oq5S)qUJV^4$kaUaCat#e)G+4_O&{7f+2(X~vR zF8XU4#)#L8uitJGJ}#C1cr-U$h&NxdtUFW-!$5o|i}z7-TUDHmGaFl7TF z4U!B+(D_XK)?bJ>kgpldJOU#Mo>MjOEN?}a`=kxoM;SVbIUA9uSx*cA_^{+)lj51* z#7?7SWlb$o|As<6G&ZI+F0WtYz7gF@9t#_hzUyQx4h;vKcNK|+QApN_L>kQPO&&iN{E5oTzHS1u=^Znc@-xVT@?8pLLiMco!9kq&ndy6fRuYgYyRx=X5bZi5`dK$U!KbNBH|sgf}+oAk1QU4uv^?j}LxpGqhGtbUo0q zC>aku)7Z$!jbwra;IbXlmdT>dgWXJCZwWIy>5=GQ*MaoI?c2BQL$p7q5eojpWml@FBL`C? zDlw7+@1%br(U+LGwU8AmfqZsEWtjpLp z956zouiw69fs{5o7%Q$=v3@P9(O*qK@NMX{(5L$ntU65xBdr<-Ziu^x3~Cxo6bvZC zw?3WmV;AEQAI<2Ag4qXR;^x8h?``TL+jbr_fx)uXNFFrQzh4}LXCVsmBd>ZvF6ZWt zj}iFF&$wU^{Uhe(12sNH%gzqtZFsG$FgLGYun5)IZ|$Z%`%^Sbu#yll3C)kjJ*cYu zqsxJ<9mM$Tja#>t!E69ECMyn;8*nSh=$P%dH*{pq*VkMS@Mfa~7ASF*QMt&PBeEGp z2XagcQWz!B7UibrlB#mm~=TUiU2qoC9JRm9?h>_ErIoxA>{in7v1Unf{V@-eNh0zPr*2s zBH1fAAmA!`;Z!fuO;!w>PXBvgaS{Js3DIu|sg!00QOR}a4W8-+2Qz1DdwO;~&f-ur z4#bkjm0JF|^}d@n-qVu`i$uSFz}8m-I~Wvlmy`_F{++vbwOoP`ns#7$UA;aZ#3z*+ z`GHV(pGpWRmTi{k&$D5+)R}K9)G;Kn!H>x!>__~m9|?}_!!Tv z@AW&##wf(Ybw zABgsJ`=Tc-4-)?j;>WBHl#KmkB#LMQ3FWT9M&tvHL*ZX;CevtL{{}4RG~s&p(sFW! zAj4aVObKNOhdcbkiP1MOI8s=Su@iXUtkVbw_+VMY!JA>7{`upFa&#IE-YC-I!DtBK z7n_@!SkXBiUBKn~Ti(4b&5XfN5LDKCV_SqA!=j?rVAVPqFQLH3z=L#L;oi&dSrEeIUps2jO#zgIf-66@SD;5UcsiEtzw$)r4EIpAni>v=a! z<>UB*>(CLxB*z9lRHa85P|${;@HVs(D*c8+}vDPktb5_ zI1lJlm^~^Hbr24Su{U0_5VqkhYt-)hGdz3%WSfqIBN*8e9JWAIR@g6^Z9DBTEJP{_ za)Z?_dXp$BLlAzt{5U;#FpgtL{vh}bnE^#g6XmKM2)7J)&B>B;L7UJs2fe^r*$-3& zSyYG&#p>s&c@*F);L7gz^eieLkeQ!xAm<+;;<1zQQ*$#L=FQ5Hok7M6MDK6%f1qwp zq)!nlJIVfMFos#oJch&z!MMH)ER0rz_e79x(6A~%wn z-ES3gm6RPGl{=S!TTB3a7EW2iadH(9-H2hJv`G<+I5A~;0F6hVR4?0fgoveK#?Cx!f_YHWbsfCpa5S{GW zUoIi`Ggi~>W2!28ILI*g__12{DkLqYlsph@!*>Vr-))dM;lrzSZkZ-Wj%~BgZ z2joDrW>#`AeS^K8RI=c0hW;~(HtfpW!!q{btg-rZ@x^TtZ(J6K^~~1v56G+hBS?;h z5xRiAp#m)CxqYOW{}DNJ5creeY{%tI4m+{^Ub_tv$L76zS)hHXJqyAzJe1ihCkrY| z2px#wT4)t$8S(JM_g?tHf~rV{;mJuPNLB8JF1WVF5Q{*>9bTj0WIN{8lMKy5)4bZ$+;XC2Mbr>m@3MC#AGwkQPJm* z)b2&Ux=X@#8fm#0)J7Q^y!C~g+raak?k*tC2YLhgpg!a@ zDCpO6IEbV?3)vZvYt4zNf5Wu(Bup3jZQ_m7Eb2O$9~|{s4>M_U^6o%84kTQLCGl8@ zK-zx>;4U1*Z_u?P--q3WLj!d>hCvPgcT?vsz2!bRh^1M8+}A=!cQaXBvl|n08w*^Y z))^D}&jJ}M1X2pl1xgv3!0~YZCZ#NDQJZ;_%ayG)Aw;AG^$&Dvs{sQ1Hz`4=mz;-0 z4*0>CAg{sFcyHRJNckaPPQ%B~Plvfd6dB8?Ti_R%=_r9BNH_=Fcue9tS>F3!vss~8 zX=@z>0IGyB?F7{^FJd zjSrI9L4<&_mGc~b<@L1|?gO(t`Rnhbn0f=L2!{^7Ge&;)pJ{PbEC*JMaN=nsww|@J zqCpxE(X(X~h_%LN&ps63qmaBDEXuu*LF#W^(@Va8e?L-x0q|vdk~{t}&9vLkjtqRB zS_5Raf)d0pDXI5l0=f|c@|IyS(AT#ECvo25 z%}LQ>V#b`n(o1hDE6)V8R{nD)mqnXo(97@R+ZP64x*656FL*Wm&27NaKDh)5GcmhK z+ef2c@oKeh5&RFre>l4dlzt77Wl7-D%?sh~smN1+O$51?4=naZ)2^dJR#Q`rke1!z)B_h7P_gbje1~@p6 zASVb_CvadAe7_E~MOG^{VohUWn!+K-D17=I133`_>-`np;bkC&(!~%r-YJHMa8MPp zFQmYDPIi-^5J{81bG}Z=e%6cB22Kpgf7hb&!8rGSyoTcuA7f>Wx^xW*c%f|GxpOtd zv!xXMT-zmhxcv^WrmrE*fnyw(z_}oYQ6N2o!vN}f$w8I`KCD@Tquf^euGx46yRaYa zn^u1qRNX(Z)R;_O++-k)^}qa~kYJ3bjhs9QV^Wc+4ccLy81!{A;{SvVXMqr%9$5!+ zf+Pm&h*hQ5Mm5&{Y8kO-aju9rem(!f&+9Z_F6-=Ei1V7Bsvq zS^*kS11koHAhO_Y@TPC_d7d~yhcRg%1TJ3!Y-0)y3Wg{SIN0`G400I-r$eCNAHpdT zWSITyvInU*y4oOTQsEF$#$8&9cemhVyt?tkct5k7c4)pMg}W;xq{nGG_!FcOUo+a4cm=cr2eJ#>vUGpp8*`?UsU( zNReR@kQC+ct~PSYEjc3-=P=xsx&W!fmdvPK08xEwG7qHa@++_Rl(ls*IkDvhKUEbKDU>zrk{VCgpvaXWc$aBe&r6CE`B(HWKS-cDPuM6!ut>mjmLQh5 zZEm7#J(*r2VJVz_n%${6W`H04zvpH)>yp$F(W>x?VKc07sBrED!RA~@9ixf9216FI zZQuXap0Xd^4_J*CNA7Tv!9egg;*~WQUetcVwvAx5HqYs!56f;lzOBL7X3*e!^zn2D z4v`I-p48VuVXp;{BRQse5wPg!@8^Z=zO8D-{vS=*M}FtdlQYY3%psoi%8#FLh#WcF zSBYaBej$lag7F=I^Q}$}!n|3A({-5u)o=2}JcnO%4GUl+pQkQCZa7J2rv`7BneeJL zESoV7`7p}{U6~Nio851!s+b|Oks~`CGzD~`nI z1o;WyT2Ty(4(Bt%>Z-qPpgXex5(GWvHE6(^@Puy%POVzUc0;rRC!zA+-E*E7!GSF} z>TV|v5-qhX6BMj~YEEV^Q`v6?9!bY603RO|#_Q!z`xbLniJnaVPiJQv6lEEO;k7Bi z4HO$2%?K5DEdxZfCQVcX7G0xM2u6w(P!Iv}13wB-DMfM>1lQ2UDViLe5CU~al0-!L zY-RjlCBX&(K|o~&1XMO9={ipTsz3emm$UD_`#k44&wcLuVq08*G5&B#Ny+?H*1vH6 zh$S;z%Jg`~XNpjse${6Y8zLny&)LJnLmU7QLv_XmN*b82@c<0>keX;=9$N-eNWJ$& zK3QIYxbp3-Ay@}Da<_AGcONBA2!&vQsyU3s0d0zxxj!3rT%Kjv7kts9C0e!FY?jDS zZ&Kv*vufy*r#frLgSg~o5>JqqZ z7`2?yfBw-~bj_KE59ihwC21rx9esT=96u|hIbT0NTe*hgs}W32Vs&YJyHaSd80fM4 zSpzeu#(_W>`(=``zB`<+ohIQ$@Fws{g}3f9f;ZQ6l;BjX$fW;87sRFHZ*)M8^6~Uk z$i0%|0_WXrmW3}j6PiI)O#rUWHx!o!3l2Ht#VM7_X|Xq4(#E>KfZx(k)r6Ys!wKUrrsKsR})aw!=C#APa|QJnyO)abA|kP1!nVKq@;yps|J(Usdc zm4!Da>;-1b>ZQ|;IhE|5HAH4qKqi0DtM6MOvcQbO8gGWK^V9qw*PQs zxD zT9g2SPlcCTAvW`V>FAiO-DebAg)F3=*>i#mbBq4z zaMLe3W!fMa9MQ_Mdw@O9`jJ_&MQr3mLk)49gs#J9M{FQb3?wnsDnI zp`u`S4+#lT>ERDu%{psmK`fOis9Ha?jwR-U9c3C-$+WVwv$MRyr$28^OpFq!Q^M4i z-p~jka^a&Ba2_tXg?$cxJ1i{)op3q+_h~LhJ?`KD|g{_$XiCrV;r)6JqegP8?GFW)} zaar-S+iZ}R5V%gSuJ!7%;BBa)FYZkq8b}uGS>j*==^?+rRxrdCugW|Lkc|!C|w?U)hcsxyBM>?{m*B5%H9HAycNR-M2&BcCg4f3 zp7^4Gz^D^aR4GaYk3TzM?D-u9=H%*HCt)Jg zo&#H!Mu0Ghii%?8`5GJqUZ&Sy1V7JwH4UoRO5}9OO%n9X+L$@&`0e7r+;)}~OZK$j zq>u3Yt>h67xNHHhp;!|0`ixa+s@|GCcAje*iz3D9mA6eK}yK7w&UlDpIvL@KlUP{>3LHOb*2i@3dgG|-7UqQ-~(qf{fa8X zHN~Ea-by_b_nEzNmlykHH%c$i)G5)~7@3BnD9R@@sTBT;hBQ=R8=Vq|kwjq1OeQTH zqETbV=JY2m3*N_mKA7OarK`uHK6B<^p<1oh#@j(F80}W_(14-rRlamtWu=BUx`aWa zpLsz0>E^YX{I?dM;xX~d;Knl=vEv9=NGH5KsIOgL?@as3&qjZ!S7Mfl`9YVTBN5u3 l`-uqSix&F-|9Lc|hzso>{8^WIlRx62&}u&NDewy0@fV<7n@|7% literal 0 HcmV?d00001 diff --git a/docs/source/img/pt_zne_3_circuits.png b/docs/source/img/pt_zne_3_circuits.png new file mode 100644 index 0000000000000000000000000000000000000000..cea084c107d921577a329d2bd496b20f950d0e05 GIT binary patch literal 24833 zcmbTe2{@K(+XehIsgzJMr=s0picpA@42?2HA(BL79y6D*Oi>gWiijjb5g9Y5B4voo zLnLF$km+9+?fvcV``+*P|KmT7yePS;YOa#GjY{EC_NmCF~l*y>waT{bfn z;uqx?yC%kbBDcVQk3H6Wy3g^chrY#mARCBPN-~{kTKtS@F3O2s$p8!cjYYgZ=0_z(XOuUI&i>ZIC5gT znMJ-W!fGg+daDP8o}NDF#Jm2SB{DKHwOOfITR1s6&!+wV_>sJ9<+_6p726B1E&J8N zut%3^x3-7$!$L0_winZkyk{t$(n`ArgTgf*DxQCReMNfDzWRyy!`|zdrCf5K3L3}6 zRNp=FWV^bS)68hO;!cK4UOe$q+ zYN{?jb71qe^!Lrp?1N1i#T!mZTzm0CxND#G^>kM^<8%?*-m1vrHM?^uw6wGds@$Ky ze2LX5aG4w_rnSJ|{5IA0beZf}d3MbnqZwYTnvKcW*Y|xN9xe;MeLE;BYTc<*)xS-Z z-G6<(Zx*9h9hLt{3SK#St*B~hHE(_nB(H&L~Z&R)KawlaWVRW*>N_9i6N62 zU&=@so7wrH=IjuTiShBW_>=do$7SW^i>s>Er4-D)QnI=qjO%i6$@#e{CzgCp)2qpI zv}0gm>iY2T@I4V@MujMe8yUt8ODRy9Na$?IwF|E}3x+kZ3 z1rol>Y_Oc0xw_=wmA3qIqWkyzu2{oZdzJ0j@#CfVbiahz$$_>49SYs_#Bj=w++W`t z)=)b8YGTEwV`E~LQ_}R`hFYdvooKOJL9ys4@}$;VN~f!a1cT{_>GVyECQA%=#^OK&tHat7G z)a{@I`qsEu#$?!J3xzm$~D$Egevn|{@rlDX_H%R~}&gWliY7khQ=EAyUXtlm(W$G>|wEq1YxK~?RLN>ZKAjT_e?yG7U8jAuXQQZ?*u%5WFEQ`E!u(7-Pov}WXkC)Jphc%lR#w)*MAaBP;^fR&_1n^! z-e^}kMn)=4P0bfZb<{$a-tBC#P2_N$v7i)su3<9z^}9Yyvf$^xUzUtS{NJ_B~oo5fc*&)>fCBx0)Pwo%h{( z*sHLmWz(^^^^xK>MKQ9ziW(Xk{ARLxGl7!h%p8sbY1~$<;=R(Vmh9NELq=Bi^2B9f zR#9>BqUL6;-n=uftatJ9^1hJN+t~B0-%&m2)nse#Sk?ZD>gw`WHs9O7epMUF!g6D` z$IqUfAKS?mFf-K~EvR3~Ko-KJ=|v64{Al@R!SjU_VdMI>PGFI(%ISB-qjWR{!6SptrI>Z;&3Wq)JVCQ6K}2T_NfD_d3bpII3!t< z)Kki8V&zA1?u$QuTz^Vpba|#(TfnIUQ!H{(ylZg-kqmg?A1Zem&DaQ zxp{e`cuk$|vf`HM z>_g9$>NsJ#mSvC3^zYHGa=kB^CiX+wy(1M|f$g|ry_oiP9-cLU5O_By#B|J9|F$5ttk^XLkbHIYUMkzq~!jfZfv#ls@*cA2R zWkS^w?w3EsZ^9F(1hFpz52 zcHmvK)aI*Kui7Je7>67-rS@Dp`}BEuvuYR{W;Wu%YA6TfL`tMSSFKldN8SAZkC1d6Uq$Ie)cSOF zu>G~Wr?pXL``}pW+(fju&n{%(K^fr%-n0K_dKY0Jr zY046@`b*|XM}_nEgw|sVWCil^!N0++U ze#Z)CL|>zuXNx+MW&SYBqRXq|-8+Vr>)7dN4@^FwY{{P;*W4;IC1oJJYP4w0?p17T zY)Y!Ck6Ie?ogD>Do3ku?*D(tmG?#8wZw&CWlA z4BPVa`aV4lyeDK3K-bwi;uRYkdrweLE+jkYcWYhw#P)sr)G2gW^^_ly+0k>oO5=Io z+X@PB2%g!xDkubyX9INM+1LG~#*o`zJ$`$%nSL=RmSzJ&iumBx^)ahye32Yj`1$#n zMa{RkITq~lXBDBgu&`(v>L}mr%C4ZG@cETZ(zwn1-1KhjBLSn@orC#E&8)4hts_5v z6ydaFXr8tEIX63PV@b;_KslFV%h#~o*w{EyB0D=9$M2w#(Gy$Ov+6^4cBxovPycwk z`}+*9MEngD2cJ5qN zRaIs9C6lkHxEOiRd((c~2R7g9gFBm3kmpv>(3Gm{IIp05PS;;Ua?|+WmxjJyc$<^o z9!HZL1N=1TvTxr$iLrM=qSk%4Z0}vDO;FmoYu9UhG^2O+=ciK@Z{F0nv?{kY?CC1= z|1@65XJQ9YK3;yF5SclI)@mFu07;>@smA7kJsNw0^=SJ1Z3NkXw-@SjIA+=-Mwsu_l-hMlNRql|g z?6UmnG9336D^?siazwz0!^l3oB=yMU%e#;d1kBqHMov*&TwLsj^CoWHyXVv1e*Vmv zGwq3wqlyqUAE+fgROL={p0>Sn=T0936QD$CqRQj;fdMVu{O=7Z-)EZB^vbELzvMaY zYjya}_b4vzo8On#d8Q&f==n>R)cC#T&hhUvZ6-Hf|Lj~+q>1*~9R72!mIH5Ex{g|Z z`xsZ$aQYIEmwo%SmFIPJmoPCg;ZJ2l8waZ;#@0qT4vCS#zTa-BWdCrkN>@W`mc=qp zPtT3ozAso&wB^-9^%QNg$$$d{FMr%dnedV!=+raj&P2uu{b)P=fx$s~ z28QJn<^xWmnO7RGBc5@Ih-}Pr`1NG`*XC14#N@J{9}d&LE-Ry2Ny{OFxWA4=!UyQ12=A9i?dd@!rJ&4;zP19_j8UT> zVzqS>Wv#6og?XJ-ioY99?_IlHUm;j4{zTYylP{UNA08YsY+rSkDDF z7zzV^u55LkpQRqlF!`d^+k4Z+R}$#~C5)H+W@iQh%A1>;0d#KwI^Mni;mihBe=5qz z!1L9~k-dD@0^FWi8v@wE#5O-0m95WfehO`qfI8a0t%i+6$Vt z=H9sUK3o@=lv&b2n3s3RS;S~8|Jb*TgbIL&8@*AE>kt$~xcSBHhMw{%{OsxOJ`bFl z`toJ@eY5-<3X$T6;*_^y>8-xLtI^)9IAxZN(9n=ALm0;=lHT+xs<*K@Iyz?M{nLBLd`fkGxg@XuTa|B8EYjj^SG4W4L z6>ysBxyvkUc&q9abDf2)t(U+5NzVq$-#;(k3k&NQbPI9-OO{GD0=f|HC7R|YF~Xa8`;C|D``8W=BEO$O!fb89E+ZxS!vwxOjcQW z{mkqvjnTxcxK01^_SRcUr@xOg|CmzyH4zaKve9eZrkf-v$JU&$yt8Yv`}QdTvsQ^` zT(uq|zr~pBhMGyZ93>Y!B{gfE&4=pXrCD3qvvWBV3evv)?{AMsTkP6&kzz;|s=Bp` z;>Rww9>=)!akPtuZhksT^J&3-`@B&_XKxzmEcNXf65f@g*U=RyRo_@}q4cKZXp}?$ zE~n|immBA7t&!~qU1?E3vaqm-zszG~WK?V7)7pHgD&hvh@Voo_PJR52_=vOQH$OK~ zkYzs_W9zD>#zJ)y{Pja55+WpBFyC*)je^%GgB7Kh{QTT( z#(V-|`*}QWMMXtIjgxQqlefbs8=b;|aJ6%S2WOEU)RQzt-QC@5o}LvdDJu)jiS3`O zZn;(6P+!k@aOz7eAZOgza~zAz$K@Y1za;7!|CD6Pu^lWzB@0ZQN*yTmqk_xa*0u~m zBSW?%K`A!%LMe4gNy!8GK#q~|@%pRpt*Rxx5r8^MnRH6<*fl9SQYbw;e}4N!A_`88 z%AnNR!(MA&PY)Lae)ynBvS60WthidT#)?y?PO(e5XgNj&2GWwH=hew)N458{_2zHX zSj#@l`d@ex{MY9KS1FugI(qtRc-fr$_p>D?CVtMb+nxUW`I6@QbeWbt$NVI2hPk~>>d%-Zq|TXV%w zb$hF8UtIxseSfdX$0_;8?||_G&GM(H9zJ}?EM~clWNM&p<>~tt=SC(bygfZvfHa5| zQu;wk%>KHhB?s#}mnP&4p9C^a)ql(A2P6cPBhF(z_xpRwB>px2#Y>Oq~MN-Al^b z7neU#-Q_=5baNxm2h zD^fEv8M#A_S%0rTi5*^R*i%}m)>mscIifp?!f_Q~WyjDEKdQOpyg`lm=Pm#^GAQOf zu?(oHHk1c!N_wuT^i~4=)>1c7%WfarHmUg;)FvqLLiZP>YbxTcfEaXAY#xW-fZp>sjO)K@lyB3_LQqrbqH$>0>1fV|s+6QdS8ah-LyC*8&w>ciW2 z^YPK3OxTh?^W!*5=J@>khh=0Q)%Epi2~%y9++{KKqennU=u_C{gEBG~saaX z*-BD@Mpb#O8${JUKQ}yY-uGeaMFWG_tSshl-@bwR(bYX9Q(G|uWX>#Zy%VK2N~TJ_ zQ;I<#Q3-E(T{+R?@#DwiH!>$QGmJKhTlY~yj;)ZAlG?Uo$J@5a=>?v44*{cnpn5!g z52$q`yAkpUx9bB!^F;K4P2fc(5Q$LH8K>IDcyiY#@NrbtB{L?m|&q7_;-Q8`t+38zvuebMR7iJ#yXUoma8mIAEJ3%&< zff4ZkXgjWji?9S~B+F@QM^$ZappHkm))V@ScJ=B*$b4>&JU`+eJ?e|lyL8Fx!GkS> zVr7Mg9I-Z%+Vn%|rPOAUENhtfYa5w1Y;XrZ$jrW9NN58}Bk}3VsN2@PRhwoIKX>x+ zC67b^*t10x?Ad-=t71x5t^4O=7LcL^mprsoxs7AX4Aybx%;U zO#edhM!#`m-1FhNm1=wC@SC_-k-f*_J{p#KBqbSVuk6s**MALk3CJRV6q%iU)w4J2 z)hpJxlayZa;Sjw`@wZHbw!6BzZri@Sf8h9$BW?u+Qk25VN@|>c@m@n=R{VugwIJ2P zLVQzVez`qC6}tfkEJI2s%Y4b@%a;vnVpfpd(bs3FmFKWg$7ys0rJW>>$`Bqw$MGwu zdFg?Cim|dIvlDH`df-xYo3ku{BFXkoMP<&wz;M3EW3^n)Iz}cOABT7Si8}K*z$hUf zjQ6HzvjSs+24OQFY!U&^KkJwa@_BM@dRS1eY%L+FKrPT5m>v-F@bECKW)U%BKt+6Q zYOI$F>kTj?=j7y+eKg8)PofRK=)>D$tjYmp<}~kg#Ye*qJFL^|XKB>PJX5Z&9m1z} z_;u78@&c*3szVG1&X8sLmYAX&R3>d{VKMggq!YsQkz>cCFJ0R1=J>Mc=inEnuJS=UPYHKYh#KI~p+lr(p)}{{j01EPAu19`IQjdx8jF0g+Fi}x zFVc4Jl$Md9@s98{6p;5B-!0(!bIT*Uanhn!RLtFAHWIME}~SY~_=DK9Hi%VOY$ zsaJ$0z<9Hf{0;eHh6nF0OG*#mC2| zLgr|Hwz-Xstfl21R0Z4;Q4tYZvD26Qvlp)TP?Yxq^U>1McVR+;SASf5^ytwR0RctL zBNz4cw+af@K0ZH36jX~-yS#C=i=~TiDOa;ZfR`VC@N*#YnjhsR%StYqN+4$y0L)5=_ zv)(HfwiNawoMKV$PMU4a+C zvCfy-%WN|grZ+bw7q)GdPpIzVj_Kgk@Y1z7gdprK`OhVS^Rlumd#JZ7M4agn1LOlr z7r(EO9GbHWUyu=_Sn*OsHl2y7v9a-UmW5tOFTh>V>(_@2eEt1H7C&==oLA$U+p4oa zgGvY~ua1_|G4aE}!;$(npu!zOC(V^1hO1q?u#Jfc^&jASLjP5Rn?}E{fr`I#Oh0?J zOnW%W$0uPsx!G+6&ZefOpYxsf3$vc|)I_QkY&t3+YoQmF8p zBBsIKvZ(4juV24@EYQ)x;Q|mVmB>w8?!f44eXk%bt>w#?t6pse5?w~MHo?XnZ>C>U zWmDCyHIJX-Bn3VFbD*kMM}lvbM)H23oY;;Kj9`4M+8IRZ17r#lAj_I4A(xp+%ksmA z4;%l=uVskl!y$Q8{xoVxw&j%#PfScq>ZSLrlT%Z=NNxZKufv24K0G;{WZ4V+wh3%% zQ#63EC%~d^i4VPaucw#S1tj#QXdaDq(h7@vrnVu%7m$>^!g~U`ODX5yhl`M?G74y= z2MMXC%B&{Fv#J_}YHC{AE_JP)A;(DkOzChC<;Cq>lo4@`QUi*_BGEB0JZdpmOat5g z`m1hd1BiJ#4vuvYBO+&kJP+c5Kg1np%KiEAc$UrgP+g|eG`IV+6%(KOM|DkBCdv8h zFf|mi$KQ?>)LLeBPhqC)PI0w(YoV4RALQ}VnHxl?W3wQDsFXhu$g z(LGfQ-GQEh)5tJi1#F$Z3M8}pci=QwcQ)v+OIc+X`&D%IvRtH=x8R%XDp~#NPr+aC zP#+)+pb(HZaJ9G38ZU7C*>^2U(lG`wPt?4fvUJ%peY2H?y7UO5vC7;bDCip+xw-j) z@Xni>20VSr8##OS?Af}iyE}L8JgB9`zWrpls)?h7ghV^S$j_hFmzg-1_%4KC)PLzF zBFJGYHgDcc@(|HP@Uy6`t)Q}jfIUbI_9(WJ-UFG>x1%CMsgPvx<9p zww751b|XPWGoS%`I>YYY@0uL#!l~x6w6ts=8VUe^#;ft7BEk6F0@V4a5>3nR>*ptP z@#00#@^!$traHj$+|I1o85tq~Ia~%~Mjne%=Rnpwfe0&v7Mb)5)eCWGm)%vxtHEt~ zV87a-vP^zYDX84U18Ej{L&?N1oZs^p&h%z(hmVFPFXN9WTa04U7k~M}7I@(IP6xcc zCCjMVk-?j~z^^ua(SNd@jcv`!l`A9p_U=`4_>Rcy_u#{jL@-24PWLH_Fc{p-7^ z)z`JiQC=>yzdL^PybTVPlb7d0xnPjgmwyg#-^hO3`|QbI4LWI{*&*w^2BXmCJh6$8 zTW)R?$fE_#DxbMyRk?X`3+g``*K9yqkx?16xaIpO$`=n)Sk&qI%LjTJN-06>KE<^l zgF#=t9H2p>ePVoxTBtD-k5lb=_byYwru|eiH{sQZ|oSU zQ`b3df2F4~1ay>jT#^R~XABV^E+gT|T3ZW4_4Ym%=n6^UgP}0hzJ-t$wu>R%NG!TTc)z)q)}JWer6)STyTg#`%ORX|3yK zWfzjqFD+)rDKn%VF}po}jBPbdc?ty3amnjtQGFGNob>0Dudb+?a~i3~L!sEb z3h$TxP30p8vgb}5QgPny^Y>S$`skhs$KM7${Y*B)qw*8F+HEHdKm55f>d60oXB<|@ zR)2PokPsu2*DWor2yq)~BAkQ2>FDY41On}XzU=`n?|JnBUzDG@P0UDBMj09g(aMQ; zni#MOdkzJE)xu7XwHt1|CuX&sXiNA{BC5(dIEaI@^}ybSs+Q6uikM|?ZvLV1f}WnS zGdEptSVT^&2(_8rSpko=tz$BwABb zQ}O!-;#2u*ZhU;KBJje3+LwVl(jFO9SB|oa6WiU zt@iWhGrU?^iUv9-POODJ=fU$~kX@*>>b_m2P>?et4miIm`h4z{^=lAo0mxqXj+xF6lfBr9v@$Ep*TzSn4-Ub)#7F$cNKy+#3DJSjiM zF0DJ;)!Y0=K*OoMb+;7Ftn-t%>@*~*0Hs)uzscavKvjiPmLWBPasdnwA*xahYdFtZ z)_UR6Sn~LTRVxE_AvkQ@0EG+eL&b#2e$x(as`0+BgaT_F1abK-V z`uY!X3`KI6eiQ8l+&vPQ9hQAX^CbTEb$R*98#it=IfKE+Pw~7Br+4x3l}5YHCGu?( zw;foeuC5+=4*(R5#u0zLdMd{S5MA3q9f=*myw8-~$=SK)@u|&(yh9nj2#=65i5!9R zyrkJtV~Q(KVkyWzK(}^Kw58Z)Bd}pC%d*??2KZpKUeoNMRc}?_=QJ*?{YpDKI}cA! zmO=4_2o>h@e^APq7`=du1a&0QbtI2geZ$hNtva`JJfc9PH+Ese%T+|>_k_@R~7fNsTQ9^klIW+2NYXj@1>)?KSDlLY;qDE#cCZi|s~t7gQ{ zkDpX~k5zd7SG^R+LNeN)dg-&3F0&_{bgdm1NpElFk~UW|8lV4uIla_q=ZPo1F$sME zN?l2+$cefGllo%RzCZlKi{|`$6@9E{W zEsnDBZy((x7*Yj5w0IF>=}{r;wYP9$?Y8kO(it5ji7r(5x)!?3i_`-HFaO#iF>)mT z`BV$%-?iK+SrNZOrLr(efXwg$SOxp93k!r{W4eAu3N(HIQt|0K$Ktl0#KUuL*qSK( z9dVRU+7$I?T8H2?B8&wz;4Ry?Q$g4+1;d6y{lD;5rmZ?Sx@|&2o;b-W+Y);T=T1y0 zlr7@otV2UXM~)u{_rL7N*w|>vhEwf;SLGUwBfeB(TE2wCo^{5 zI-cw;izG(kzNn}ug+fdu<{i>tkkzL(;*`&J2>7IJw#F8eDcg~qg@Tdd78AosWDRy> z9Ci>XTTi{k`{`fZkS*ZX-N`8+0R5Y>;_cgFQgXpPH<$+bsLoJ&2Vo_;k`ugwRJFjh z_RU-|FnByR1{;Dm@LsW|EWU##^iZj1KK`iTK^Y3du%!xp!fVx6ldYl>{W9j6Mh5jJ zacj8$u1802Mm57DIRWin7P?gUKC=Ks0x0(h%~OPOf#TCBefaQSFOO3%zPkRTELaOj zY52d>p=a-AQF99Xg=GjAu+Dkl1#*gtGDAqJ6Wc8;%mAVClc|pLuhYqG{~yxf#;Ag; zW0#2R0Cvd>_>+)Ni)>kc#A8+Nj{g29Ex2RT+V6|GTK=KHT@!2&EZe8XpPR2Op`b)P za`fmSMa5gT(P3dM$ceY$=!>;wVq}b2G}e7+bcJL`3|u5n5vT#D8_PJ=>BF#d$i2rt zsV#ie%W;dZ{_bY>LJ*`jNd%U0^i&9`Y)TMA z{_S2!brd9FvyovHy*D5xAEx#6u{1Urjs~XWHW{`)E(?x*m@p8;WT}~caW(WWqCJ}E zE;(q>Gr%F~@BmVBUv1(B6gqCOWHo+Sa_p_V zybd}uB;_1@f}y-;uVcw$aD~%R-#a>pT@Fc+Ejg<_VxegKW%1Gnx+4fb>+O1>C#!N@ z@5!{m6W|VoV(Wne9586reMNomY7W-eGH~S9hJ|8t1DI4#NRSL{`%FvVT^RXzeD}i# z4~P|&LLoX7kZ98wYOej-}3wKjFVmC70GNjVwD_82(#K_8pO(^|gqhuuyWbr~i4GId{$g$tN-L0w` z9_6QdLjP2dDsPPf{#1}4&Hj4@Ij+V0=PE1qkJE5|YdL=MBneF~q|BOLtOjjz7-l;X z`AbSm>vk%fY&g4vP@VG17J|A(%gLUhj5HcVcfcOzmXfkt8(w81n2-$k^Nq;_2rN$o zttv(~Hq9I!Sg?a5rOT4P1qt(7Ld1a<&O#Z1+(oJngb0uEN&Fu_l;3)tB{xo&C0>cN z*(&@eOM)Zxd(;UfhzeF{8PLiWzxq!THljBRwR=_SQGI09md~`WNc`=(tr||lD!d9- zMJfuZ9^0J8{HsPGM!o*@NhQA?siMoLffpz-1lL3#mob1IIOXS5> zp_lM`|D+($iAw*)YF=#1-l_SNv3}D<-#W#6s@0xp>V2x`RYTK*qy!pz10k1{I|Im%F1PUnAe>IKhh$?uRSh= zl?&du2na_^|D;cD?_y4`^OqO+)jzZYp+6Tl6e)%lLU2!NZxLN^YaXGn;eHVoP5c}E zt0mC{9LE#=I;CupW>m*5G5%SP5aX%V-;^(2syDsS2gHv2)OQ6{W5!LSif#K=yu0`% zob!$PEHZ%ZNc(Hz6DC3f7#TfeQWWYU0rdakxQz(M?I*ppYaYK`eP3CvQFP}J`JZ;R&$4A^Yq^g~n8pEF!BJI?G zxf3Hyu<8WEr5`3IZ}FBDZFPEvz#yAIBHxa|&u zGYaW-1>FVb()D9;(s(fF#8Q3iOw#A)W~RV-x#Nr@ftceo>1i)r2x!i~GJNX6h>^Gk z&hSxud<=3OAxdHH;gOifB9y`qL|jlapgf@g9>(%0M2J3=?1eP=8jc_j5##!H6xXR4 z8M5#(-Mo2otwZ3G7&_@yv9fm){s%a-9IiFhuMM|MwN1XwK9hT2Er4ckmw&jPQ-_z_ z=+&e({`U`G{$xLQg5`F^p!&{tm6Dy(iK=Q@`L~hhIRH(cYGtpdJg71JkZGcs3*`{T zG}G)cd4E=r%}WPb^E7jYgXB35p%)+xNM_Ym!lFSq-3Xh^atg7$!uEo0ii6-JuQXhh zx*cw%J0Qht6BNt;?DgxW45jY&-j)}Ze!H8`|3t+&rq(1JP@ThX$$ZzziXR0{8X!@m zv!I~hnbh;ws$ki;0Fc}F^o+?rjP7aX{a{W}9f?m%OG~F(^(s&%OiN(WltBs~&jKcc zodG$sR`{l`m-fkh@ojs;V&}U4&7``!rm%kMZ8>8p%z$*#L+y6cfsYuaz#zcN-Zx-p zVe$Igr^h^gkzrwHJEruj=eVcmpHvA_{W+=E{WehDd2-YHAghoFHSbSNj)-t=12nr(q5Wof4IWH77OS2}<1mFR?l3%t;gOaWR;DF_Z7O)okPpHXe z5vi-6DlPqwNit)@p4~e6YlWWA(})w{O*8Y#YvR6Z&~~JOpQ8+h4ARXpDE8c-S`Hu` zW>3F}2=<@DZJS3&M{$}UFg~-YaqATFzT9KDwm~t}-Ojhx)#>Z4sN#FIQ$I3vE;pDD zT?tyV82rMjhFfUXFLKe;^^8;iBubhw1F*QChDCYY1{0!d^95 zo1x*Kn=27{(zV5gM0&1^&EZ=ht-)^LN$wWbMEGv0h}R0j-T8O-1WC zDovA+$e!3qLmMK@8|*tvu*(aHg^qa5pwbdnxy+Ac8HM;72O6Khm3$zpqyPQsnukH3 zoe;{o48ujPUD>vg3G56CzZDch5`kI=@OU{sd6-tx!_Uvps7rM`;jCWUD}-p&0hiB| zz^#ao!$fJvB?)gbx0V94qYOlhZj-GDQX)Hp9r*FR?(oH3m>lUia^ge@J}PMS^#n1Q z!8PN{w7U$E+vI5`Va!(VqGgZ$f!lx}?tyTHk_7nwTDDa$iA%%|OTA_dSl$n;C&|{1 zDLbxgp^L+Z)jDaQV{b2t+Ed?zfs~^c$~_NdEmRu^7@4RRY1zLsWtWG7`{FJtUU`?r zt9Y^8^Q0S?#yY-gYkB%5y)@nY@^;OqUPX_*Wc~7HULMmosbwz~(qK@Od0Ji6ijeSvibrP4+;Fr1-qj4itP<4AE#cl6Bso}E!!xrgDl3b?pMtHWrNCe$gmQU- zzJ;gw?cl!g&2rcdte3+#txE@DT+hhpMf7kSXksBFI}q|kVbgEz6<5E$V|ig}(%hC# zaDW0=_ZOTwNhabG!};_=MvZ}IdTwrR62_E_@{QChdKKs(5$w<{qntj7?FJh-v2-RR ztOBj(2{%*KD9G%yY=q&bIhD*V0IJ{tszHSFsI4& zHY34v2@9)EKZil&QRYIk<43*zVooqm(oRki0UVOlIyyR(Lb$~Q>_^V?YG$rQ1n$xP zgxE=Zl1OL2x19>$7LiGE6rwa7um^%+;UZxV?@q$xNlVft-dF zwF7WLB;fY_`)lB8i!547iC2iEMu`T5z7phPcDJV0$tS%h z96YC0JQ{L(_v78(Wk0TtO(Rz`hxq+3-Sa`cAX-Ffo}A{1bOs4QtS3<4j2XHB(ayXu zq({Vm`h5QVzP1u@XY0US6F7cvk3KcwODcI%YO|c-lM(*;Yl!Vr`0P8S=aZZ7N$S6t zqzD`yGjVr~W<9=eSA0bA^ilhp!9D#G+%<8^BVKFh=R)aZX^uyDM=#QH(w(5*O^l<{ zZN!2FKitSr&hXx5f~XVH5(lnoY`lstM@SWu+|{EaBW_7aJkN9ro;{z3j)vZlXSUBu z;6S8jWxYuZ(=eQ+zIgHUhZEdT$OWs=B~;e12+wsS`C@to2G$xF^cq! zWC%hH!MIO4^Ex^@n)b`0%kC!XawqI6bc@iUfr<`(*rFn7;zDkE6IYlQQ-+F^h7)S*VF9|s67+WNg_U+!qVryLaxigRk7l z%e$Nccxp7fZS?2Q+8Z{+9^Ln03G9Mr;0?Ry8q?56BTB$9DhvEG39}MO@~{rlpj;?3B-XeVIz-mh!Od2q zgdl)lmVAonOjf*rOn^b9;EB`V@M&Zvgffjc;{8ZR@eu_De)TgH(l~|=Fx4Itfx^5v z#b0+1gjo8nLBJNYI8!13a|J>MB%{(}fjYVNX-$tGm;TEFvY@|peW=I+5^&^?a-F+M zcnLT~51&83MN3PILILql(l7xTsKBx-nM3$Ixn(xYG9VtZ(gU`@S-%>7gxu+&9DD3Z zxbi5?n&u?e!yES+={w0!sZlwhOxt(CB67l+o=*jCW2IiGzG7Bi+rcr3zl^aR_^ec4 zh74D?rYaj5O^j*cJ4k*aBMuLz@bQvf3((7zA4RdbjO^EP^K%DBM*2g7uiO-hLosCN z;iS1?+to7{LAsshkaC@KN@gP*IJIbRkwCDoFZ}L18E$g7O{O1>B8#}*Ok3EeTbCZ~ zHl*7&XW->rXn45M-+3}Si{M(sqPX&;?{%cGvXSOmC>@JAp)pFsgB4dUDJhxeI`87n ziqcXwW%79XAvk2vH*=cfWkyCRihiRO{3fT-XNK!~%=l7q(;X4F`P81zf8PeI5TnLp z&FY(WcV6vJnGN4q06_?h^FRnTmNZ1u4KIeKTjSI^sg12S=As5{QAY+{D^a;NXafH zXo^MYNf1#%X?x1xnj+NO* zI2bP@dLEelse*#^VY4mp0LrYKCgy+3wl+(!6qXy}P-g7Hrtj$La`*FF`vMl5qAoPJ z*6|-$|8L$oRT59#nv0$R5!3tKofn|So_=Q4@$K7<+3AVnG}s###ZSzr)gm1cViU2*6Wkl+ zeCf@N%o6qjfCp4|b`!^Rj4>cUUA=)iko2Sxb4V)u7^pWN0OXLINh}>Or^594L~ii5 z1n+t}I=2rWJ{$}D($qv+$Cb&B6FK&`VQp?K@vDSyp=rCaTuc9Dw=3tL)A{{-<`sb5mwpEHCp$?<;6K$%8a} z_2m(OQ$~KRgy*}VnXF;tO|W?f(iOD$F@tDW?loQ*Uc(<8)0sevDv_nk!OFn_AZSp< z9wBB$g?5*Qvb=&+%7fYLCt1HwJjoIm|Ix-BlA&b9yx&Fdty1v0UnN|J&t|4}^}c6M zFB@Lqv9CFnnjdzJ?%#u35Tk#d-h27%`DG>}PfH=on5k z)=}J`CgHbN17aar)QjyvFEeFZss2AoKk52;{@f~~cWQc?3#}$-j6m31LV?$UmepTQ zQ=nD`4NY#2Z%^DQJ%RT7CIIXW1$Tjev$LlQIhsu z{`&-M`fFJy@+k`-fb|iaYQ-py(HBMb$UfpzU|>1sad=)^wz3mF>~&Ga1~8i|9o{a?N*qZ)B77lH zTmX`5`b(Y`JTN_%Ts!z}c~CBH{hPC&sU^MTbLQ4(BsN|pmT&xl@zR#nvZki|P>i0< zo=sG}0Aia=-GJNujHy!K&3`*V7hpi_`D#yHgjp1hqAoL8RR>_si+6(rGn0T4ty z(4cPhCEaUeT!(rJ>%`GJh{9#Hgt6w#?nTq{Qs~Pe90k}|+465m!TM?I^pCbh^J;9f zE+In$Zb)gC)E?zvZ2ZTq`h8LL19vQEX+e)ZTFg!9dG!AOHAJ&msB?X(XE@5wj{^8s zaIo^X(S8RJB)k)w%pl5k>juHL2f^mS$F8WTC{%_8hy0PwW4w;zYv||{dn|x^AOSq6 zr@E5VJ`BA7(%&GjSLFLJk}YGhy^ff(E>aVvdr_p6*>EmX zlb@Z4;}}G5YV_pJtTlSX)Z|>je z4ZRXvP%vTQFt@grL4qM4!#;ov3G>u)=u<^tcP{#kW+HHLEyH6qb)nW2b@-X^lsMj> z9EW1gb@j|6!0r0_2{pOr@Nc8j8m#1t^2mq?qO)=9CDa+=AEHhxFVOTA%a0Ca6TeSY zv{cHh7(f3y5Fbs^Dd%$HRj#OR+q;)>-MV$+npdtot&Imy#Ij;@wkh))NhTC1a5udg z@5MlkKK3>Qq~AZksp$VV4|L3BmsMDFjRmJ34hdM@(;S392f3o%BX%qBd{^7y=>GvWgd*?)-xPDA0q4n&$=TbI*xsz1|K7z*wsN~(h>(6L zkf221iaB<@1^U*|-H4V??q+2b75^FqY)J7>bY8MxI0P@fW5)CyGGYN8YUr?WiR%UE zr>FLeDH=qQu8&f$8O_QPJ!%3#H#s@E<*&cuK6cgpG9s$^E3ec=h5!OCX(&g4BolH3 zuKs|F+6=1-ULgKCpH>zf+NKuTMzhg|-5|D`m-mG77of&>;Ua5b>%okipFc^1Uz`^p zRSYXyI2j;DlKusBC@iI@Jw0;`B9!6j7mlSW_jjsj!stKAHi@lRP`6T*8c(|hUt=xqbsos$ zk*lsbLo|k+A!hbc*hK&CzNr;Q`MDjfRB_L%5x!799>gE`Uw~P99Xwfm@GMr%5np1U z)SM{f@DUs%z&0~o3tHdH*zk(j zv2>p3cb9g)WwiDG>TJX-#(J}oV$tw)EAx))_lSB5~&gZY( z>_mq*LWX*|?v>#fc7Tr0XX6skDq+~dZdw8EnBoS!bSSo_5KykY=>Xm z06?G%bowNcQLAq%nEA1WSZXaT3Z{qlL&oobcykTf6~a`j%d`pRpQtEL|0(3jIG~Fc zx8Vwe@O>QRKuu;~OJl8=WRXnT|^@u#8#5TuKXq$lEFtRtOH5DQU7 zlLt|9uTynoM{>-%hcPz+>|)p9C@=i-MKh-j<8h>Be{KK><2GJK5@WbrYL`M0(yw2CJ%mTSo;y*no=EGQpA?f;N0N~`#JPjU^R=wP31#2!-M#TICH+1LjBgaU zJYW=3{cgjr@zT_v;0`p`+M}QJFG<1VbesAWIe29i%kTVX<8o(y;S(zT@E~X{ETaYN z>2Uef_1T0ZKQ|qij=_ypOkOZ){p25enUju*aV>j!YtHqe7^m2;2rQ$E_Oc_6 zR6(kkOX1%+X4*HrLD6n_<3Hm0A(cp0j_=)K_K@kyaL7@^=h0KU^ znd)IegD6{U9v<;x=eARQeu07B8p%`?V#m#Lp59CPk`eB^Knz2=Eye!QH`@t-c5c^3 zf=??R=mz1~caR29VALfPjE8!S&myyLJ>G@4(@z`$03^~66)BXt*$ExgB}aSjVZIbx zMNgdaG?MGbUG6BMgt|fShIRzrnL%H5H z|INWoY4_coPiAP?4mICEZ!BpIfWiWhw-ZL-B@_%UDa2MxyVAG^lQbH3-tCU^g{Kb_ zNz@$vbbH-m1-Dmmu|kYD=8qipO=@W@KgcCw<6cEg{c*_3+}w@W`htTg6!g&ow$?H- zQqVcI9Hc&RrhR=QvrJW0b=!pt7i5%_=&fq4{^`>!enHZ!zzTr5rEXP>8#Zuh&Oqou zpNh9p^?s+xR0{a(J=Wua%!1OG5CJD}2`bjoWwa8CLm9|^oy1IQai8^~1)0)9@j+wc z*M#1`&EtOr;q%lmImnorKC4nYD<}d|&C=6n&bGgHS7gJz3l_Q`xEc^76O2M6f5dQ- zG8OulPLCLhunZ$_(E5}uDB1~*B^^#p2G_G+z3N1xjCe{844lAx87V2N7edAMB8=R^ zP08J8fdmdj#VIJLq}3)FLuJ2xP*xL=)<* zS)ChkGjHHCLR{O%v#?J8`9~7fS*@r4(9AMh%RG2{>dxD?a#j5npc8V;vhiuLpci-h50m_Fn|KuNeBIDl2_*2&=ufiUoH zw`#WVMm`fS6-N z{GRFMLzp8&>XH@+-`g|?phGjkZ|9EA2A7#p`56?aWV+M`+I(E34<$wrR_- zYrVP>kdht@syml_Kq1;wp;n>4KA4XTy(5einincvh%Ms?oR7Iz$H;mBoOEHiF?aIb z6)_6TY8-`-z89t!;-wRQhQKITIU6nSG@>AKnI7DC)OXj>H_-B)j5$vMwr}g*xZWE=i}Q5xs?;Wb>mu;5?Es{209iXUt>ThY^i&VqHsohF^uHIcos(C zFv8fvh=m|b>;INKOE$x%P+eG~3xU|llD4u5xHc|ePd<3Zwt_y} zePFWPU86LGw;cJs1cbQprrRfuyZ2}BTxkBeS@paR-B+Yt)|t`yuu7(-2G~2l^#zdT zp@G9ugb@S<1EUbDZ;~3{X}hI3Y!BG$DE+U&J>QO2*@Jw2C0$O%lQxO>Gygq4O2A0zcN+LCYc zJ{it z#usF3EZzfg?!bR=@hyp(lhf0L7Xn@E1$>bIyPpT`&BQ;ODWMNdYRQA5VTZ;vuXwm7 zh=_=_rXY4PN(b=F%=4P2xNw zqbXPAapHBcL5GLQ!yRzG846b524t)w~k>IO1B0gTBF#2>OfsLB-}7h&*-58C$5IyV2r ztQzC_9Edo5xN96_59}k1U-)2n^^GWNZK}`z)7kmQL|un*oOBFktKDQOX4$sl=&+%N+Qlc~AsYpaqvGG|`*Lbcs`ruby?fJ2?&}Kh}@aQZ(Q^ z8oKa|mGk0Hr$77a#%*lheZHU1^E{vTudA$#U`a@aK6yS-r%Sq)clYhrxis$? z?EMlts1Eaua`jt9DPl?oAyv(qb%6TqM<#kG_9HBJumR8uU z)@mYK!&%NSuuCznS9KvBZeh0bBCvh1cTDsxkkwv%l7`&1EgsKg9CAv5@AQuNZ~B^_ zMwM{DfBu7W#OJFW`IFvL=|#4ShU7L-+elBA1e?mNXhXyXlIWK)7a0^cz_f8EI+ZadABj zio>y(nj3Hwn#V2pr~TBKRtAgt+-q*-$s7Qqli+)VTtp^ZcmB;!#-~lEA-1xnUXq*> z+I9Cv#vJ#o9!RU*uKV-`$)Oh0cT)L&mNW4?(gIArz4htO?MR!g)lPu|EoKh`d=~e2 zR@XgsDOfZ>h_2+5`N$_YAhp;X5E&hFPZUy+h&xxt$L0atoO&s74`aC9Zg&qoBc38T zZ@`*6anPD>DWPmx%cFTkl##^+lebr+lq7(_%qwKhw^-mhQ>70!p4rN}*x%oUN&LbJ$g5HpN zcPJkE$Q)Jj8XL}HwUz_uyE{A2-0(RETsi+vvb>%;R2E+^`an%ffIyg&ULFXTHewpQ zJiN@%`1`=XhC21Z`o7D&3hWbaW@l^VjEG5h#L1%A6lKBVnIyfIiNT=DwuS2CfuRyn z`bOuzb=MyJ@QX9$@8w@Hm(UeO_if0%u-!X}8rzbZvNRO@O$-mrXrFP`0JO4?7QeM( zsqgF>9k(PEsp}CaZBG!BC;`%yvBNaz(8Anb>4sTlo8B>nNDPJ2GDBZVhuY6L_$)zD z{y-oG{HqlQ%Ix&fjQH4`Ui%3h0 z$UJ*u7$q7E)4RcY5iNz`oS)Z$x!$T`({d75 zfhU!bS6s%8!r+@*V0TQj*GmV$X_W?MA$+!%YRsG;P3zF~M_sQ~>F*jx1rl1Bvw9+0 nq3y5#6VK0$=s&UkV~H`x9WU>U?~mc<2trmaPhNITzq#lij73j4 literal 0 HcmV?d00001 diff --git a/docs/source/img/pt_zne_5_circuits.png b/docs/source/img/pt_zne_5_circuits.png new file mode 100644 index 0000000000000000000000000000000000000000..8c037d1f413c9adec5db0433b48df58556ebe1b0 GIT binary patch literal 25265 zcmbTe2{_i<`ZxYGiv}`QC@KjNC6Opa8A@guGbE8ALz!tXWK5+ZLyJf3HL*Shb|bg!GIPaR)Ny@{Gap{$iXaZH&) zS;|bIEO|w>5`Pk&C%hZKh}ubO+NoHX*j+KOIY&8ZU}t^N%I@L?!>yOk+1OsNvfRsm zfM1YrtEruxwXK+dfW^PQfZxjIyg==9dU3qSYU>kcY$=rW2IT)s;v}D4pim6iWse@D>!+6Fl{%8-X-4oGw$x@3)x=!C*^jC2ua%>sjO1? zv@cUZg?GYSojclu>86xPSXh=-r_?nM|F^A$k~4xGCYs)&%a*yce;CY*JkVEV-*(=s zrgFOAgR8L=)e=tp@8;XY+$G139aGIs$=ZtF%clN6{1Q;&z5XcIovx9tlKM6VA%h*W zk^Zcr8zLhk>ucFvZS=EkRtSZz*(_ptmv6o-U^B;^ch+Ak7~dH#^-$m{2^Y299&m={{dSMafwPeDRVcOX}P1Zc6N5|0()pylS+xACr%-uau0;N=nhEPb!1qwHeWp zU;NzMW+xiut3+*k6{c!752P{|CZ|$vb^GL`zSIOkyhj)V{b&3FpLWI?QBlz_TlcB1RW1|t8dLo-L7knQk3M%~+n%p>=M9l_nf{(R zHU3G_;KGIYkU_kiYs&G*+}sLA1)lrb4>i$Q70zZf6fo`9Qk|Nx%Aa70bp9dAz`(Fo zSeVhg;rZ*y4)-9*`5AgkOG{;u%wy(_FFdu9_$M41U+AVfj+rF6CKt|$iP;a_NHr=q z`&FN)q4=})>6ft&lI2;KdOC-O{2TS0*H%9iDaS($e(=CY(5S5Q*Y_5OzKAOnN)Y>@ zYuS$V^K@)EFd@gAt%+Zj=bF;A0J)nalo$sbZDPNQ_2wvZF$g^#^x<-Y`ZBwN!poA&ef~7 zxNN2PRNfc3&qD7(wSGObO}5TZd%pHylR)7NC&g#UvXxYn?jLQrPP!WQPUHQ-+b-mS*2Ky)2S-Hc4o!{rluuY{oH`Y# z*QcQ#CE5f5;#GYD0z89))-zDA2-|nz+J#R~kHjip$XDmO!@ zk4|&bZrQS)qWRKzwb+#({xSiZURP95ySced^**%n{pvp6PuK1=xck6?1CQKh|MWK| zZ?SC8JJbDO2v1JXY25U{!GlM!gHJx(uUY8kn)*P*vh}co!-0zzFLr+Ua^u~doy_LB z1z5Qylq{FuHnDocKYj$h(9Ja*Y)I0Y&b;{f+U4)fk1bj<7y~D!hYMpglJ!#3)1~vB zCTLk%{X5*IPukABxk-QPopDpz1(npsA1#^daY~&hf7A~pzMag?oX_~mWzx!!$t?@O<*T7TBW#0!to{8wA=ctkZY>`EIA_ zr>6m2$%TdPsl$8f580b(8du)i?eP2SeVp~18hVZ^64jH6vDZdhZ9lv&E?z2-KfdAe zkJg(XB&HP-<*iZBPGkT0_)sWu^=9LPjq8sGv6nWb8r3AI@y`72iz3Bj1O>ndU#aD| zo?YCB?cn9D*jDS-tqT+AE#KnqkKJO>lw#m8GbNZ|(c*RF`bvZ0_Iwa`C=tjbb`B;N z%GlZ2d3qls5986Jtxe6%hRtagQc_Zi&PTa=G3&d~NzRVbFI~E{b9i{Ym6g>{Q|hv9 zGX5W(W>Jo69vxYB!_#v~+|;y|aeJO)N?O{RySr2#DaZS+9qku$7}@$fDM?9F6UAe_ zLZtXc{PgEj51$^LwAD;EW5mz7j)i#L+REDDI?2}V(6bf`s_qo?epi) zD=g&o^w>Ah)7PM|?z3oCjmmub01xM}<5;g|mi6PO{b2{M@M9-le;;wMCx5d2dTi_t zJS#7p4$gi1>K?i5J^%igx;m3(Yu42ui9b|D^K12!baRBiTb zVZn$OXy0#~ zVlE2Vxu);mRaY}gNJu!X^SwpALP4{9;#>stVbtg2>oVf`U!QgyS+Dn>C z;lWm+y?Z@lV`H209AD8&`3x7%>)}9O0=A&ryjlCPLGZ|kHBQ<5pXK7EU__36on>Oai=ekSP`>XCQYnqx2TGCw<63|xXAU!9^RYq6S!=F^`DCMkw# zSDx;!uE)YIO0_9(edxB0|JdKi#uU28;F|U2%MCNEXo5MHzw?BLhrdZsOT0lV)mrGT zk5?HTE#GoKEZ4NZq@h8*HQV+$?|Io0&eyMBN9*QZ#)H*=rI@7dhrQv~Tm8`d*U7Mb zvgoUUY@dd5ZTkXKUcKVIqWL9Aa*mdgHkY?6=trN@`1E`QZ?b8`m9F9y9QP|rrK8T*)YH0rwtpsc@cY-C1F`gBpct;TyDTWv*K zlD0^iWm}Hs!?{@jRF~hY&YU?zMNKVbW|m;$UPD{4*(&exM6*bTi^|}6j^zcjzqH4{ zw=hdlC0+LP^yJ{>m8YNd-s0wwn8=IW9p{*zo}S+DCdU_e?P^TSHqu#re5mRYHP+`| z{(dbtH&^e{ToTSx|L0db3;qo7QWSUIw*S$(k)55L(a9B0{?~9v5Vi-Pq4}@eoE*dc zkB<*HjmMchFnoK9gPWVX2x}|c_r0TV3(D$8m-at-$fisF3d z$&XkNogBN>SO&%lCB|#luH6a_zB<cAgyw9y5MC~OA9K&<^ygsSxRH4 zt5tS-NmJ9%kiKp=+^%abarp3Iip0#w(d}GZs6Y(8y}c}Z&QdZg+o(h2R(MKXjW~EE z8VD;fE6ciT>HEk-+5=m3uKZ}N`SZE5GV#sWuODrGzsLG|zP!7mHO4kKyQ&yi6dTd6 z^kaVISDY}1k@`{A@$4uk>6B7RQIqK>E<|0C#>pey1AkxARpLE5keGaLI_&eS z^Qiq)CMG7<*4Bs7veSMDO?|zuPrG@u-;*cXzkL0AA%8zFFU{r4mqRR*@A^`EMY+#y zBtQcdDG;BT>;?IId^N1EfT?gCDgrcuKXB~cy;h2l}R8FBL?ENz_=nbUP{Yg>M6NeAD8#vBO?xYvbCV4mT z8NX@{?%D!Z=lq^~u`16_g}JlI$Lklm0pYO-8ZKAmVO+VMozF3llN66@D`>2T+Yi+x z>u+)XHT0S{IWPKmWwy|;xwP|cIhFD0JE5Ux9*?!8n|t57b!$VAZk_`jD&EM%L}_iT ze9aSCdQB~@Zd8Gy<6B%+AHVZaOaFE4;ls^fUe;gU(t(yqQC%%6I($G(%&_~-%`B%0 z9=EyQ=k0#9W=lz5l$P+09*hz?=W7xez`x5T?zp(4exH4GR@2LKG^o`nHeV|Y%L!6LH8z+Ss84zM zQVN8tYhb|ldrM{v*6{!!iOKu$_=zw8)GjReVQik*T(&|~HtrBPwA%I5o>H&eOT5-< z^*K5?98Oa2`T4cdv^_7|#9d1(tidrbFfdNPPy%OAe%7zILr^hFVlBrF^=ZGHn8b%6 zA&kW(C8OAd(bzFsgNAp@vB?@58g}Sa0t9cpUzzS($Z^!`EI$0yuNJE=5WS(Hi`8%1 zq8%7r^<$OODC&;7e;7yGu5^Hp7<`C4q(#5l-unm6gfgjk&6883My&;|EuEKDRZpL$ z4P+HvDj*p&@?D_NFSfnRUpUVBYuU_*p)YDVivp|HIUxz!Rkh5d6xw$!k z`>WQozrlC-%`SUGTOB5RT`Q>!T+I_$=AKg|N0ikW_xGQhn$Du?qJvPeOS<{r*LT}U z!^C%3L1E2ZxpUG2*Udt;B>TEiRGYGGcg{_B%o}zVT`kRsi{ln|nL2IT5~{;rUUYRC z`78!wz10pszuauNMMWV6QpBqLO>?@re3eG9Hg$DX)z&-j(&p+RKZF=w31gTwAHcq@ zZ=Qd*Gm61a(m!mcyu93E7E4|HfK%{MYG5D$EA`W=ArWXOw68yOgG z@M^p`i_#QkupwI~5dF#MTWu^_Roq7xKVKUgn_@qK0v}L^=Why)?F&V)(>C9}b0uf0bmWlljB>fw z)TBwuNs?B2ty8sma=sV9-PzWxOArBQ^&GlZFfcK7<5YpktOB;z_+fnnWI6@%%=pk} zdT_2%^b(vgxv8nC&boM&u(6q$nLT(qL`^}nYi#xX1J;9X%3KO%$h!X{$MWUNw+abu zfSe!$+^(#ma;dXu$w?7sW8>}W&o!^2m~Y#$W5tUXFMt*If+|e7Uk`YKpTxLHL*O0w zVDPP59{jpFodF{49;gZu(?fgXR1-GzS*_V9v>ZjiOF90{13@ES`)rMI*ZM{R0Nm$X z*03I+)zi~^TUAx}{07>dR8l%C4=RNpVfIKH6cAtbYlZw^M z8!g+6Vp^~DcnnHiSjQ^Y-&0d(!7(0)Sg`|ui~!a{MCgS2VQp)BR7Z!EQX-)*DJeH78o1DBJ(} z^_};wTfICJ!P}0blF?Krd6}ha?YmHWj6w^rBQPo)v_+E1k6D1pqB)HY6>*>G z$HP;H|v-76&Y=EiFJV`ymLj-GhKq@Ng~3TgG}<~yl@Q7dX{YtsPA z3SR0yMz>{))ko@xbMgI2aSQ*Fq6!WR<0&pKJ_aG=1`sEZaPHJZqrSZOWU(jBQV+`3 zK=wmg-J*<+`tsU>ulDUc6;A6q{fqI(j~~UgwaS2_igw>>r3ab1UaIcvz@|BdXjUPxt zX+Bov@dPNwgO1e9wAA%f@8`P>hUT@7jil`M|w$46H|?U{g*YI8yuVq1N+nuq7n z{Y&?L5Rdsi7N?zQ8Kyn#xo2ps`rSJ^a&&(E`nA-fcXn>*)rVtfe$p{A0XL)`lOj(K zBvAin@2vr@P}=zck(f;c^*Qv0o*zNOQtwwkz{we%pgh>8Q@0WdBTt6a=a=VhReseP zTL!U1;Yd=Ht| zQJdv>W}W~N#zJROzpj?EnHn(=pB{Pz3-Jb2H{=a0Gcz7ByM7O- z9)>~uw>Ef7lMj3gGB_|6Ejzp3fG7mbaum1Z^tbxQjxA>wcX;GDat_d&$iB}tQT@9=Vp!w&a~0;|Zbu{Q0w1OW_vv3qDVtJTa7S^agd>wQF_JrycDo z%F1c)gDby+Fx7+`tzk{u$;nyUwfP&@ndelKsil!O>49dUqqDFcJamW+tWRs&H}Vb| z_%>8{NusxohTHbN-xyxFk4sJG#BYOpUs{{B-+mA%Fu9?6SB^KP?EJb<6-t|5ToqN= zDPh|mRr0`i!>_^eH*dCziD{XGM`@nf9I8qdO|^xafjWkfo}Zup?c28>o9_n)FVWW4 z2D^VaM26JlR%LX95^u2{K}Q&3RJTwh9R>C$D(mWaD5Cq+d? zHHZS;-@JJ<%+~+vp@lCuE=yW17joy$^|Z8o)gSH)=$AqLtVuCA3YCRHP*5<-ag3{A zs+)#Vgvyy>SW2z%aQ|Au;-F$dDOpFTd>9ML9l@_Nv$KRok-n3ioy{U_cDLrm_0kn| zbiwN!g(n814qRFas?j*3vroh5jSpQ@)}?Kh9R&d>-WLL$9UZ%%rIuss6E+_MPhtvd zNyo(WRP;RHPL}f|KPXth__!TGRimS$rCg43@18VdciuSF8z(DjRwBH|``erI>t=0P zRHnJFyfci@x}@?_Q+S0lKemnCTYqtl=nNyWq)%dUyrj)&^8NfEtr(!HoRE`~g6!n+ zEVCH+cO#I*jhL92F9F+e^1_ZLcXy-6Q_;{|hn6WNCG{~{nuek{d|$V~MHEKE4V;J9 z9UX;L2Y5mfnrfe=yB?wAfzcw+;VXRt2(DdWh=X&{@gd(QxZqTxbShBXe zj8)q-@&@_&@m|`ciUX>$HTi|JlKJXD_F7EiU^#Gp7 z+lq?XWv|Defs&X?LtCAx8PlX1RB1(y+h^#HyxdlT2~vVS50EpgFOaISy@>} zYL0K|0@{;Ck)#x1qd{CJ&kOwI;$5!|_=f67lSy#|!rbCGdiwNf4=m*p3cm9!zQeHx zE1s~-TY8PkH|aE-hR%Tjo^#sd^j=GiGSOp{1ky)|ujCF!gKUCpM8H@#MOn=|-=`{mUPHj)iIA#5Dc$67T%{1{;%& zaO}@T#wf?%iik)`k5}c1e<+1xyGtn4PFr`o?k@iDVLiZX zEW1Fm#&tXmGm(66>8Gb6e9_jFgQkHW!TDDT`}+9AiH*KK=T(!NMSAF1RzSd7D0=GO zR$_J3GIPYjIT%l!S$uB90j*Vvpcm74p|e_1Q4w^Fz)Mll>^fV0mr;lWFAcQ;b@uha z<$T#RiVvzj;2O^@p?w1n+&eGqhjd$k>%r)lm{iE6_|~&%Z#ZlvfF@mEzNik(0N!>( z_7961?kEge$0m06p~ke5Hs=+xTKDjWWFu6uQet`r;`jOxQcISaBmH8(w+ z>Ne|C^*}JD={Ibrx<8H}`Y9P1{OUR=tyx)FEXiGB2l(*NjE^z8Mm7*1=JxGtw{Fo^ zOMp7yS2$j3+>KZPY?CFMH*Zdw^&_i|t&EE|@z#2P|GjioMHLeIq~g(Vp!IiEOs-%p2)2}|zGV45i6?uV(QTUuzuL%WJJP{d z9)p$l*Tvsyn1d!*?VbrL0#<$;I*T=0`|?$*#0418g{EBFP^!%Hr<7?!SU8vdl;na} z4F{{VJ2W)33p@+n9z6gDMMOm8hL@KiY!(^a!D|cUB5=UP`i!b7Lv(bsocLv!>4wwT zDQ5;gy-j-lJjJR*V%I|r4!(u9G=gK+6;3MNZHC20)o*)$72~tX+)1Db)HJuswXr}cEjG)ZE#F+&6%yOO1=ygz6 zzt?*?^yQn<(%0|bpECFJ^ZQgdK_2Akh#;Nhwc|YePZgsAiJb#}Or)HF#^fMoJ%=R# zsGoQ*KvH=5@?~1a?H?^WNGCj=EXoX@k9QsG0SZ_Ewm@g@a6t*g=&P`(SjFt(npB$P zVor0*4oI+HI^9P+eaYIlNFkW)rPr3NS8{{t; z!arVM$@lexVKFmOvObo59#H|fHft>z(6a1rR~p~8uvcnhU4!-JjOn6|z+#9E3|M=q z{?!70c6fE=9><^FHvB+G|ue7eCj6+ln*hN>CI`! zrxmw}_at!+n6^d#kKO|y64QGiz5A(BkFC@*g9D_?`D{OjZ^h4e`sjrO{V|@!jbN?$ zW)ELA{`Q3O5a~>{9QQ-juF#w9TWmX7`0lA6|JIyJ{7X1j8Z4B(qx|PD8BhVvfO>al zcDNlqdv>dft1C)~sLRY~Ib2Z(Xpc~Yf^3Xn>EoXySCGe!rzmH^t82~QOS`y;i(MY_ z*`@NdGxU7q5&V|yC166Gd?!Y*SLkzRvoE1&LB@KPURqkJ_J)Zbg`!Gi~K`pfa-?|!k#HrCdC(x?_C zYP%B1Yx#l_1h*UAAfwh2=0z~PYM-)5B1*AQ1We8WOq!@f5^ID z`Smn>saLN)u_i(V#IAi}&PF!G0jHDwMHz!F6e>MsBblpr(IyqBe}wKdAQvoZE%6RJvqvMM?M4S#`yesbBmmy zB8ms{1w#`Z{Y8n~EGjOUm7ZK^mR8aMetspOt?9o? z%gPL4h-*#50P%(nkQBL!0%x!c@`s#%+skwE&-Dx0N%Ml$dyntTHB_}8By3Duvjl5D zeG(S5Gh$-fyYdbX|Ie{48-)v$FPy7mEeq6du}KTE5iuiO`{$U+I@un{_wV;=xlmHl z(qD`YtElzH?E>VcWn)W9S4>cgU$$%+9Scj`Z~WBvr0f#;tLmYM;%(Lt1LcMKzw6e| zt47qG(Nd*1u3ukeY~$0bxu_tKPpa z10&;MeI>MrUSo39`~3q0%iyCTBM@{dLd*cj3i?thayJwT8m4z{?m?Vsiny!RZ_w8D zTefTwcNn2;aT!_iLNDJJDgj&3r-QP{d))vSi-Dpv^7Ci$^E0nHdwabghQ{cwTEOb` zg2r!YVeT@c{>Xqwky1hofg4qX+8rvJg~M|M+9I9-NhYBCcj2|Ak){#uBYcvOMeq|e zQ=%$vm5?ZCGSpVSy_(}jP4r;=Q$?YKlk~9%9=~!)|Mu!^pl@m4jZ>d03>38I!?vG! z{y6ErEV#hgg>t=a*G{_z>F|%Tq=Mgm(udq$r~;QXH_o`(>lhok_9jliIm%7ULuZpPo5BLs_inu?f`yp-8ApibG{6f%%>SNAkvv8;?>_P7hp0 z#Zues%6>qmbYt3kX$U4ccHgeuz02U>;Bcazi!4&<>Ig4E2f8H4ID~>Lr+MPzm@QcZ z>&JB?csUpstJMKMLza6cSe5O&el4)4vmZPS{*9=4Te|U`dH&-E{SH4hl?SRHq}}GW z#gu9AB>9JxG>!V%eEA}|$1KoE&Uvb^?MT|#^;dT+>n`59aHRhA zRqea~eu*hn)e;s}oiDw;hR6c|u3iU!(sTUEhy+DkYa{C2U){3!)yIl@@* zB$iN!PYNm_2!g(S`}VE-_cH-}mZ2|`}=h8^p!vrHcm!EcRSoS2zW>nR9ZuGi4e zNHT)h3Mu8qzTMlPQE=(>74N}UK6t51J^1NMRR-|9*NjEde=`KVi}5vjzpr;V^%6qf9?+vJ6G1}Jshdu^rv z!V3W}{eT#uUQlbgY2aoR3^e>C*U-cULYJc+MsTTGOmmw&& zkH0_39)8TRHz%SDd_WQdyx9j~b%j;l=t|TtqMN%Q7H~ST{)B=;otPrfM`@|_D`C@* zMRAP_4fce$f(h5>r+@MOZxTzFQHURh|S8~nO;*RFV}@9!%sj~+R)1j2h< z`aIkOYa1IWWZMYbK!T+sMI??@h~vf{vz25uxpohx7^fD@^zZ3?ACZ_YfNf>lTUFCc zA~{*Pxjm$Go;~}>WF8L22qc;=bd9gQPCWr4gjt~7u0)uRLe4$Z`jW~@8fF2#HwTCF zt~*T(kX14@qtSZv+ByV|sLMc+bci3`k? z=G(oytFP~w@WxlBHob-3vUd4UyonXl-P6-GJgomO%2>+Y#j#`YS#ttPp#zno43a|a zzeSRLQI~`=08-|2^JYzWp~I*li4_1Ac|Uu$6D^AHKk!D%VdU`$qD3-oE%xvcLqkqP zen^vq1F-S?qGA9kQN5oPR_u@Vd_NL>fE*0_?idhsctiwB#0%Z)I&1E)qTElL**qpW+2C@hAbg8391+Ch}W2&aPix>Iw^G#cHm>3y753Y5HQk!O}iRuY?nx_F)*yODIupe|AaCO&J}NkueLDoNTq#OgXzm zCWu|vB>dl--?fqjtP%^LC)Z_u7Nb*cq0@&ycY1Y>KZ(e*R}pA zklRZm7ZgsNW0iYw?BjmO5QcHP>bS;szxt0AM6>pkozP)%_B<6^TM;Mf&sNA?-ZLZ~ z(+faa)|OWo5LQx?vqExM?4D7~#EF<*me9;pb(i)8@3L7p-U02#u#R0qy6_#y%dSL6 zTofhN5%KdsT6QNS--RBjx&~71f4(`^e+jX9+90MxtME1W;K?!WGzsbYu!% zv>P|xL}Ka@_>Xc%5I(@byDzmC_P4fcv?1AtEx!tuh>VL%9s>tHUcy=|6JQ<(v3i7>02BD8_%I2x1g6GSs}hyyzsIAf07-%NHtJPJ%gI z(*Md89p(`4_9cO7M3G;UR28r~R);8wVYcn=^R9gQ1+0jS5xzhoxJcuD>Fe7(&K@Go zb%R#M@5QsfRrQU+-l;vzUrBeUW4)Krko9mfQ_1##R%U0PZn@3HH1-R1tlP%+H~4`%FR=972;i*1m@JgwbI&i$8hh@_}KTTwG5zmz-8k zE=6&}pa&Ha07tYY7Ge2ohSd^_^ z5UGr%PGqRv{hw@dM?qO>X>8S)-<*Eb1LZ}Vb?IWW^oH_MEs?GjfM1udTzPLQ3~{fd zu_aqMIF8sBKt)CePJ91ukvGZ(>{_voNFCo2o=$Va{Sq{MLxm7#4C=6E#>I_rZUxQi zxG6<|FI^aifQLaTLJpc}crKXVA<<0&3Xr8Z3r`#L>7G&T6WIrn?h;`lR_nl0NtXrM zMdn|)?BN`?Hm zW{U(Xy5us-#rC|7cq?AX$pY<;eQe^6KcBR+{N*G+{E;(=Do`(TBCGxglp^Fc%E{YB z+M9$V5j-e^w~2J=9t_wl1tS*42hp$$$3ixJ{(QkgIW3W77J;*xoAyceo8D7gSY(AuYAD{5;)c7W*ONgc*WVV7rqNorSge8|1 zArgR5nC%ucq^ir*B=#9%EP_SChJv%*#0kxE~ua_d-^HI|RI&s2= zKjPN@zMtSFB9xDO)~&mDZyOyd%t-ji-})%1>Ru1LT+GRON4ELB3^^BVChuNRi-wFRq{b>mM@UUYzC!{29 z>VxI=2MhkY@rI^&E871ASHz`U5bIAUFLcHe%B)Oq!)pI|OMdB|N5=X2iM@@KWEbKn zP~`W2u@S|T03ADfAOb$c(1lpO6N`D16ohr8VMtmQs}iCVIEI^5?2V99hL z5c;;VvIMM6`=1Sm#~xBZMIhs9jyCmG-zF~7A%sYV)!N(JDU@`rwP;6x#U-CVZzPFz zQJd{#ipqpFL{9DbGh~YnQ`zs}f83oVZrxV-`fFij`Page+ZMwNb&c#NnB?2*^az&G zv*kye%Nk_t^=?Lm!Hf;z!`4r3HF>dC4^+Y{Qx0$dm4K zPdWZ>4jWeZX-U>3bDfjU<2%H|ii@$`@uYaweX?&4!wF*9e~|^*V*`xEU>0!e&YjPy z#yS9y(k_19psucN+MKqFjG`HzJ9i;s=bd-HcpMg=5-k=bezj#>cI!6pUz2IoA%mm_ zH8u4f)L4JEgG~6GyGLj6?=DCIWO$1xxMY*2ojr*U~iEZg4OGr{}gY71YLzCMa&!4AU;||20O`v zX`PvuTk7oW3{6or$8}*_3vn8WEAoOlBEl3_yp#gv8j0CU$U{??ze86}N=i~USVE!a zQt&{3BEyqNunxMKzgPgVqKye}q3S-~|8>EFpGnB_QsJ%8JEc#Z{&lQ(GS~9!9-h_z z!w@|cYxMNlvyyl3WX+?HFa&e#zI#ZK$yMz23qo$KH)ljJmI{ zmx#+Ig0GT=O7mEn+)u2i5t+=3?D_tEEh1(RdXAgVBg%0LS#5NCaF1xbDhVnB=dGZj z@e}&6o{Fj{&v6X1Sv)Rmi%(GP6Q>sP%+_{xe3NH6bt9a=m>F|%2)P8~jLw~*k=7)o>jo`JkfB)7ZQK~I(XwF4)gOjs&u9Odk1{eoUN>;n5pT8fd+@i< zubwq@p9xWm?#X^v zy`3GR!mf#_5MGT6S0}B1==1?sk{>Z(_!{$~&xRsH&Pbx1}zB{lUmL^%%_f}0@$7JXWA9Dr{RqLXOe zNmVSdyFJZ@()-a-d5Y^09%|`}glZ2_QltQ@E`GZGNB5 z%tOFN1j>m2v5W78eqkV7MfuvrqPd2LU+(r|*hQA@9wAe43w3!i!CB9+5x=dZ=*e@#AvDD%PLKbFA6wwB8TK92t-fJ6C9*i5+8czYT)jMZ?a;Vy!hZmQt0!XLigr3fmXU~kFZz_8eFeMaydiQ6z{D=5#@Ck*2q9ol5 zY6Ac^qQex2yQ6{ZVkN?#o4Pv&>1f2O!s^wUW}x;gIEk+iT4&!j1oOSUgp*8LBguea z?yrU|;Jqnm1_&DclM6_!TY*K9J;^{#EcoF_vd{!YVghUjyF2Emvi$)27So9fxuoX| z*f?flSXy#>!0)#c5ZMf2{GKaAIU)kI^KK`+NnctB2|n$m3j=h$qbt{LI*a7r!V^%k zPfWbxctZN8wo>w68;R^1JZI#p5Iu!7COeRV2CQ~G>7Hfc^>KD4v^B-hask~O)o*2Z zyP?-|a$Y`FUEE0Wx_!|n90!T$q4Yg=GR5b=2BAX3Qf96o^G;wiJQbqe0GGaf_iopi zFcB??R||@HAjuXHQ!feEKSi)iF@ya;%$_Gw+%a0C1wO8{oE$Z9uzvUGPbXo#V+Gxl zS&a4o$OPkU*sy`b;b0*dphGr6V-8LB^Y^cFDvCoUy0;LqZW4P%o$AENE(Hh?beXay zRS<*tjFu0vRtT3=LYXfwUqz+?Mfd=5zU>*+R)VBW25nd+-B=gUy`seL?miIseD89OE6}hy4Flyve$jK(-+Vb+1)ai=D2Eowak$-T(h?}`qpM^pdc5k7639%K)_-aLZei8fvX2L|8yLi z*3GnGxpVi5ANHdGHon%hp^=dwW@Y8d6%-Y{@7%f5Ab~kHGNulO7+YWo0}ci=(M(}# zdcyqb0q$$cwtdF+1ItSZi>mZZtbF22VyaMqCr9dVKI?vN8Q@1I4;cm zQu-m|w_bd=m-(M*)eupC*@~MFVh<@MZbwYG2xF|3{#Rhu%VnO!Qw*E8Y<$6{qpM4Y z`F=3D=rgZOLIM|l2KIRK)3m+|Az!{{c9dZ%x>B5EpWyRmVYIYi4wz~yw4%D-3_Dg+ zQBf#Q(1GyXNY@{+v3c1b3fq_RNJD4Q&_V=&?)dTJ2gJngIqMgL?w(J$vK|W<+ob0yMavwD>>zr~LS|1py~A+T!p% zy>SF{@@Em=ahPnof*yE-da{7B09(wSKuIgYC@b6~h@>LKTf}stX&^HLLnj_kSnd&Y zWHM=jS1ZQX5ou@T8WxY?g6UIZn{cDVP+KlD0?h=r6F7>TzIl?L65S%VQle+7F~b=P zr7>}Iax&X(_8B8?Gl=(mEt?n_DT1_n_H+wRn=Q&wz=r!9cVj3OBx{Y?LhvVHb*1}5 zArvbN7ZF8+Y@hu6Ltg8*yihX+2Z=`d?)LuMr24GGS8d#DVyaH@gGLBm>#2aKvF zyyQFt5~Y(|b!H1iQj{5Eg+-_n`{V=XpbWF@Go^*gdlmGU@>SACH&&TZ8-4#w9BP=% zxhJ{e1JwD>{K%#tzqqXW16(~MJ8r;qz_`2KMWvwI|5lGbW$q&1^*WNK1nnI2D?KO* zTGLh4)uWiGD8UY!pB;9u44{KYh{2Df-CSHUf9H8}v-;~3?>D%nN&8Zhqkr#UAK2Qz zhi8cYiEhrPnR0k=^tsmSs_Ief-tOL$JrXyu2yY)OXxQUFvf&DPCnZ_Lms??Yd8pYok7q=;^oA2y(a9XZsRO>dT-^JcfOaQy-mP7vz8sYM!kZWakWp!md>R}R+WdxY%s zNCIcQAITCyE{tWzNaAbE5-dDnx_TYhm`9ErIme!vntB9sKTjL^K?CX<-g}>L(zBM} zceOTM0m+cqXFfq_S5xUHmFf5IApcGJ$ZVReGb$ITP;%gHi4(1Ay%;>k{V7g#;EeDW zB6R+3R!?hLT&34!yL@`cK(A7Po!h;X@?%g}8wQHqO zSdl#-xhl+SlPelP1`w?(1`Zp=XvwCSe7qIo?(s-lL0t2*X45_@%uJK(X)rGl2&hl; zcCfi2kt_#~I`5xB;=!vWvZ{y=43gm!7$}28Jelwz{U3ZitOxai%sD?HdH4i52r)5$ zbl{c-=O*mV?L)aIM&s+(M{HYPzg~igGl9Jba$b{*t!;jGntR-0A*sFi81}s2 z)}CRp8P!x+5_Lp7v58yuf1qCm63fO0#EC3I{&%0`rXdfv_r)2H%|H5n6Ug*9BpWwb2nk!vB z?QLdeaCzu!cj`zBOjy&WgS@ms@FC}4cO7Rs?i?b0k#jLb{Z|ZI>h9c|1DFM0z?pHq zwZQcC^^D|1<3gcJaNC4s79ZeA7N&PqRc|l|3_F4b)EXCGtVBjCHqsq;FCZShArq}y z%T`aeJkz4(sYVO%41!#@Zr@fO_y=HUKDI^iJ7C+p1^@%_O^;0C0R8Qrm_a^=+(D$( z0=lV0Ce8-xDd#nX=yORNx3D43}0 zDN|qWD1Q9QjDc2Ls%KA8#w`OJbt+Q)CWI4)gZsg! zVEjHJdUK&$e*3l!PLnz;ca$%v_1LPG3O~sHyy?*KLy2B8A6|ceXb|@-O~fg%dBibl zY9yz|w(efXE~5>ewQGmV|8GD9qi?EZn;02)$L4Bio(BehjEhW&1qnL}lYdrFa#rDX z5OvR%^U9^3sT%zVP5Or&jZc$WAOovB5Eg5gnvBo*61TSTbc@Xw@rr#~GfwJj&8w$X zwQcGcVh{a{{tqm1=6VYm5F$gbWQP6nP{(xS|0yH{@498fX>uVbkNaJVRbc=c*geO< z%uErY)JKl3pb)JJ9n!N`4&x&tMAHKktvnHb-CDtk-wyMC0$-~F)=aRF_qdn z2F5np`Fa_cQxPTrDAvI9;JwJ&-<|$L65tp?XRNUQ`9&6qj7P|nxx)h>R3Z^8mt>j*H;EPb=k0a!^!(uDYn3@U= zB1s=H>H+Oh(D~OzqzDX3eHlaK%={O;_qY30&7}Hp(Z~&4lQ7hrj!@b}!iZR}^uNb$ zpAuMbTZM)LoKVdvg67JVDGWizsE3Wqu7C4_vA_?f;l79!jY zleXltp2S3RPdyFds22!?;k5cI-nJ(NXAep~N#r2aR1Up5mP#HyZFij%p`WrDKI*~$ z!O6UA7u&%9$?WUu*;mB_vcPY|C3hjBS5>&~Y^;Nr&zX>oI&{h2z7(lUM6%^uF?SqL zgE^pR9?Y(hS(E?K@}WAg{BIK~K4$#?jn@-aS+Y?%cy*uwnBaxa^;_j$Y6{G%WcOLu z8?Q|IxJ%e5`6F2JU(V);d+tpo+wiFoF`J)TScH!siakVp^`1+YBb975o3$E!KTKP; zcgR$CA>ECJAN)-yp2RBNGSt=Ie4xCTFuRVm*!KHp#{vlWYmn(*`HNL(C1su67$=8_ zvkj6I#;P%Wa2@(IgT;cjGL*f?zr9o%!}FuaDj})A4!wvVXw0Ky%GCqgC)S^L z!7$0XfdITA<4_&}Dr@FB2tpX#ae)bK^E20R8N&s(G2kpz_6nDL zbo6mI1|@EWkj3e<2XaZag1E0J54i|(2@JgN^uSoiw(ac&RgEabe@`7GDiHI2d-?Gf zn`NMA(QT74oy&EfpL<*R$xW{a0+k8DAyKxP;JzcA|J7IW4#28TY! zUWnQeyBQehm~a$U9#_8^3vE2Mv0k$#DS`ZCB!Xbj&A6OrV+;L5-? z7r3T-KrJhHEbT9%O{W9d&Tff_Rv%gwkhZ%?VftYC|uz~DT zJpBFF;PIRNI&W-j8o9c+yZaiBqG|pQ%+rz^5Aq5)7brm})gr;)v?F8DfyX3f+%7IC z?=VyZtJ!v97>eBOgBU_*U*9SUxfunw585qOoVXXfAt6Qo4M$(@#>-72HPzR;UT3oHv*pO*5HkQ~?Jd57XV1>3n&Xy7%*;g z(-2b@?!o|boSEtgn!@DY2trTMIKQ{Q5~is>O}}9Sg@U^zZ}XKyiz82rO!LD#BR9;A z!m#PNqbL!~w~CU7TL;Ot1|YL!AcCwLDZjYcBepwaQr8*t>8Ws`NX{1l@9QX7xS;}R zXn`|<7#zfX6Dy$S-J99;^XJc7VPU?I<~Wct#?gI)y;75`FZs@fav1Q6%)XOLBysH- zH_}_gCPOet?q1AW9L5oV^>679ZcB(d{Thm&aQ%&|u*TmX<%%v=@(zfV`$*K93u%cyZOz1#6eK;V`WvCKNAXWPTiS9_hRa?Y+l~xal)tf%((E$nu-fR+xz5ZFvx>D3&|7+ zl)t;;bGU@$BNXza569$43Icl_p$QV4(aF7h@?{e)!@62nCfl9gAJnL>X;^Gzd>YY#vxp?$ox;s4WnseRc-*pd&xlHXr(BUKIkVw=RLdgGD+PMZrS%zU4oGFw9!A1=TOx;DR)ddx`Tx~*7 z7fNJOh?5yIj-n2WLW-i8U>P9A4u^~xQxpPqIB2vUa5)4LCYj(m9#hw_#2WY*MHEK5 z9`tAZ>K8wlS-$Vx_kG^yaNRdE!>3FwbFJ!s^e^a_Pt~Dr0=tN7L~+SLK6iQ#C*unS zzR-9FmYv=Vn>vQM^W@c8{FZHL*%$xls3@dqajv>@R4sG~A|$zvzYF?S+BObZDfe2{ zN5ZS@#es&dkAZVo{qRzRIDjGqQXL<%j%|B}H1Owfdfb6-w3Ku--=9 zHW)Q|+UuC|3WQGcL~eLIYFu8OP0U1G=uHKr{yV;Hl(X~x$DN|w#Y%#c?BY0fZYI6D z1MTWNCBZ+6>z)_pS)vnrN}6$c@3c63F6_ZB(Ax<^DUtJZ=At4sRWUik=MZHC30qMw z#wa+M824&($?DwWmB)wX`9wlx94Wv^wYynKUr=Cp`-M z#%}xFzDPIoegB<}ND%2BsH% z_ND41ORNuwa*VPgHFZ!m=b>!jn}KdzAw4xHzTlJI8`iHkC{}-RxPXzJFyoUxaqEJg za=;>2ZymVCp%8CqCV~q+W^1+hEcb+7;mqLA)E!ydR`V16Oog|R(FpKC&F^nvw0FyD zEqoY7?kl8i?75BZy*2e#w%;tnEgQ0lCF-Q2esc}$I4iLu=hDU-@UFDK8bRY!&B4a! z8u(|gd;H^UL@J(cMABlYcN_wU1_B`3|;3;_zM(p6^k13eQ3@#O8ZT*at7=&n& zTBI1(&SU8k!Q##@<$*%iz#U(s#yqGGLF+2RVSFyGkgPk5UFp+vb?dp+_= zc_d3y2`MPnGIF$pOlB4xO;^l#_lhZQY?_lqHQ;Tp#EvDzq>v}4LVw%1?!Pe7e9ZzT zxm>@+VOt7IE+@ptmo6Tm4^yI|qC{qa)m}6;HGBMG@=XfJp%@ROmW#Gef*dbt#{@!7 zCz^_emV%iNPu@6D{YY<`bhM&kdq&1fDE431XYsv9vmeEQj3%7y5J4ZGI|vvYr;f8E zn*xfYN-Bg!6(6gFj*EIpmyC^b6aM_lX7O4#@8~p@5}58VXrpfI^&Ki6H*LU#nR8wJI?gXtih*6(C1&?@bv3>kvVh)N7_)WV#j(eO&YVU~B uJ~4dvpb3Lt@t4w4bJnN-zaJd~ws99r&+V Date: Thu, 30 Jan 2025 18:08:02 -0600 Subject: [PATCH 13/25] Update docs/source/examples/pt_zne.md Co-authored-by: nate stemen --- docs/source/examples/pt_zne.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index f204cc371..fc91ae6ee 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -324,8 +324,8 @@ for i in twirled_circuits: mitigated_result = np.average(zne_pt_vals) print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") -print(f"Error with ideal and twirling: {abs(ideal_value - twirled_result) :.3}") -print(f"Error with ideal and ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") +print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") +print(f"Error with ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") ``` Accordingly, depending on the noise strength, a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique provides a significant advantage. From 8f3a08d5d891246f080df0f9fd3e1ed60d1d661a Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 31 Jan 2025 13:58:44 -0600 Subject: [PATCH 14/25] remaining suggestions --- docs/source/examples/pt_zne.md | 59 ++++++++++++++++++++-------------- docs/source/refs.bib | 27 ++++++++++++++++ 2 files changed, 62 insertions(+), 24 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index fc91ae6ee..0377a2925 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -16,12 +16,13 @@ kernelspec: # Zero-Noise Extrapolation with Pauli Twirling This tutorial explores how noise tailoring can improve the effectiveness of quantum error mitigation techniques. -Specifically, we analyze how converting coherent noise into incoherent noise through Pauli Twirling (PT) impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). +Specifically, we analyze how converting coherent noise into incoherent noise through [Pauli Twirling (PT)](../guide/pt.md) + impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). In this tutorial, we will: 1. Define and compare coherent and incoherent noise -2. Apply [Pauli Twirling](../guide/pt.md) to transform coherent noise into incoherent noise +2. Apply Pauli Twirling (PT) to transform coherent noise into incoherent noise 3. Compare the performance of ZNE 1. on its own, and 2. in combination with Pauli Twirling @@ -36,47 +37,53 @@ Noise on quantum devices can be broadly categorized into two types: _coherent_ a ```{note} If $\mathcal{F}$ is the average noisy gate fidelity defining the success of preparing an arbitrary pure state $\rho$, then -$1-\mathcal{F}$ is the **average gate infidelity**. +$1-\mathcal{F}$ is the **average gate infidelity**. + +$\mathcal{F}$ is associated with evolving a pure state through a noisy channel and then returning it to the original state {cite}`Nielsen_2002`. ``` **Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. -For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: +For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel. As shown in Eq.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_paulis`, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. + +If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: -```{math} +$$ \mathcal{E}(\rho) = (1-p) \rho + p \frac{I}{2} -``` -$\frac{I}{2}$ is the maximally mixed state which can be described using Paulis. +$$ (depolarizing_noise) -```{math} +$\frac{I}{2}$ is the maximally mixed state which can be described using Paulis. + +$$ \frac{I}{2} = \frac{1}{4} (\rho + X \rho X + Y \rho Y + Z \rho Z) -``` +$$ Thus, the depolarizing channel can be redescribed using Paulis as shown below. -```{math} +$$ \mathcal{E}(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) -``` +$$(depolarizing_noise_paulis) -### Pauli Transfer Matrix +### Pauli Transfer Matrix (PTM) -Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the corresponding Kraus operators. +Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the corresponding Kraus operators. For a Pauli channel, +we can use $P_i$ and $P_j$ to be the Kraus operators in Eq.{math:numref}`CPTP_map`. -```{math} -\Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger -``` -If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, the following expression defines the entries of a Pauli Transfer Matrix (PTM). Here, -$i$ defines the rows while $j$ defines the columns of the PTM. +$$ +\Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger +$$(CPTP_map) +If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, Eq. {math:numref}`PTM_expression` defines the entries of a Pauli Transfer Matrix (PTM). Here, +$i$ defines the rows while $j$ defines the columns of the PTM. -```{math} +$$ (R_{\Lambda})_{ij} = \frac{1}{2^n} \text{Tr} \{ P_i \Lambda(P_j)\} -``` +$$(PTM_expression) All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise. The off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. -The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. If we want to not deal with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as the expression above, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. +The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise differs across the circuit used, noise stength, etc. The higher the number of generated twirled circuits, the better the result. Similarly, we get better results from Pauli twirling when the coherent noise strength is closer to the small error limit. @@ -181,7 +188,7 @@ print(circuit) ```{code-cell} ipython3 ptmcnot = ptm_matrix(circuit, 2) ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") -print("Ideal CNOT PTM") +ax.set_title('Ideal CNOT PTM') plt.show() ``` ```{code-cell} ipython3 @@ -191,7 +198,7 @@ print(noisy_circuit_incoherent) ptmcnot = ptm_matrix(noisy_circuit_incoherent, 2) ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") -print("\n Pauli Transfer Matrix of noisy CNOT (incoherent)") +ax.set_title('PTM of noisy CNOT (incoherent)') plt.show() ``` ```{code-cell} ipython3 @@ -201,7 +208,7 @@ print(noisy_circuit_coherent) ptmcnot = ptm_matrix(noisy_circuit_coherent, 2) ax = sns.heatmap(ptmcnot.real, linewidth=0.5, vmin=-1, vmax=1, cmap="PiYG") -print("Pauli Transfer Matrix of noisy CNOT (coherent)") +ax.set_title('PTM of noisy CNOT (coherent)') plt.show() ``` If we compare the PTM of the ideal CNOT gate to those when the gate was subjected to incoherent noise and coherent noise, @@ -310,6 +317,10 @@ print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") ``` +```{caution} +It is worth noting that Pauli twirling's goal is to tailor the noise from coherent to incoherent. Depending on the noise strength, type of coherent noise etc. this transformation might not give better results after the Pauli twirled circuit is executed. See the plot in the next section for more information. +``` + ## Combining Pauli Twirling with ZNE ```{code-cell} ipython3 diff --git a/docs/source/refs.bib b/docs/source/refs.bib index de17ec738..b806964c2 100644 --- a/docs/source/refs.bib +++ b/docs/source/refs.bib @@ -309,6 +309,20 @@ @article{Fowler_2012_PRA # Letter G +@article{Garc_a_Mart_n_2024, + title={Effects of noise on the overparametrization of quantum neural networks}, + volume={6}, + ISSN={2643-1564}, + url={http://dx.doi.org/10.1103/PhysRevResearch.6.013295}, + DOI={10.1103/physrevresearch.6.013295}, + number={1}, + journal={Physical Review Research}, + publisher={American Physical Society (APS)}, + author={García-Martín, Diego and Larocca, Martín and Cerezo, M.}, + year={2024}, + month=mar } + + @book{Gardiner_2004_Springer, title = {Quantum Noise: A Handbook of Markovian and Non-{M}arkovian Quantum Stochastic Methods with Applications to Quantum Optics}, author = {Gardiner, C. and Zoller, P.}, @@ -609,6 +623,19 @@ @article{Motta_2020_NatPhys # Letter N +@article{Nielsen_2002, + title={A simple formula for the average gate fidelity of a quantum dynamical operation}, + volume={303}, + ISSN={0375-9601}, + url={http://dx.doi.org/10.1016/S0375-9601(02)01272-0}, + DOI={10.1016/s0375-9601(02)01272-0}, + number={4}, + journal={Physics Letters A}, + publisher={Elsevier BV}, + author={Nielsen, Michael A}, + year={2002}, + month=oct, pages={249–252} } + # Letter O @article{OMalley_2016_PRX, From c890f2bbe7daeee40c8c0534703fda6e1ecda3e2 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 31 Jan 2025 14:34:45 -0600 Subject: [PATCH 15/25] add 100 twirled circuits plot --- docs/source/examples/pt_zne.md | 6 ++++-- docs/source/img/pt_zne_100_circuits.png | Bin 0 -> 25154 bytes 2 files changed, 4 insertions(+), 2 deletions(-) create mode 100644 docs/source/img/pt_zne_100_circuits.png diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 0377a2925..04be3a67b 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -235,7 +235,7 @@ for circ in twirled_circuits: print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` -The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits. +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits. ```{figure} ../img/pt_zne_3_circuits.png ``` @@ -243,7 +243,9 @@ The twirled PTM is averaged over each noisy twirled circuit such that the new PT ``` ```{figure} ../img/pt_zne_30_circuits.png ``` - +```{figure} ../img/pt_zne_100_circuits.png +``` +You can also see the off-diagonal values in the heatmap fade steadily as the number of twirled circuits averaged over is increased. In particular, for the last plot, the PTM of 100 Pauli twirled circuits is equivalent to the ideal CNOT PTM. ## Noisy ZNE diff --git a/docs/source/img/pt_zne_100_circuits.png b/docs/source/img/pt_zne_100_circuits.png new file mode 100644 index 0000000000000000000000000000000000000000..4214f9bd19302551aef1aba95b6a5942535ebd73 GIT binary patch literal 25154 zcmbUJcRbhszdw#YHHC(3qm;6VvMNM`kfKD9G9zWn9vP8JQuZul zBqQ^Cy{q@@{XXZsKfgbI=W@>J@=Bi1$GG2bx9hsyZ=O7^xSD1Y4TVBkedO>VRSIPZ zGlfF+l6nRHCL&Kv2!BY}%WK)6vN~(;Xk>eaa?Hry`l6Nn#q-8nE}gNpJ8xyVOITcZ zhv1fT_V(6x`$R-6{`m*OR<>p$?~^u2;X_tgAJ(>`P}Ule|D%eNeRiHgF-kdd=zyA2 z#E%wdJ++2u*^xTy2UH9v4+yu?Z^&cje;mEhg=##`US&u11t+ELp?NCX?|(U`t!;jP z^Qm2{lRuhhuyFPAu3uicTWt6~jREz#+w|e%GbJ2$%_R#>3KeFDK|? z0xu-L&XA+#+<)lMA)XC>_bn;(^z;ovg2FyNK8H2_|M;W-n(NHOfyXCLx8=KvwJ;=@ z3G3%9^OCzZKF~NY@%F*qwKQJQ3SUglS>o?5kM&mGZBuJ2`;@F}GWhvLT6xl~_cDfD zkJd0UN4ZUJXP{X=J3DKhvpxOO^!UKzliTbcD8&|=1WMm{^X9OrsVT*2%KLLn-<@>E z1*225W7Q%Bdgis6tyh#CYkz#rOdL=>W?6k#$Z52Ux&FDns9rlymRE4N-*TQD zYOo(u8t)2}tpFb16^EK!U=Z&rT^6I?D z_3KO6q@30zY9tp2%Fg?2*n0eQQ`(u}f*QBkQAL-z@y4ldF@f!agGpc85;a9y+!NLK zT_#%`r+$4nVPs;$T{%A9Xm~JI_3@)eg}<0J{56twyzbm#`1P%RspC-d_Q~cKCKa7u ztqRIM#-Ae3B+0OVed)?Ihm4K6rhk2pkrWXUT7B)>wUN=$B5w{ipMr&XR^@xbWlb;5 zMn9a8RZr08RtzXDytY(DP0jPvv*Sh$3F=edpGA$}BOmK#T9)hC#=f4L_!=hdd?~!b z)x{;%rc0qR|J%27yU)F&SiK&ucwR$jqJVH*8o=2?`6-8oE62DR~2>G>BV~XC@{( zdKu*f*53M*%L{Xp%PBUaon@*fOV$|~85I{7%V8lNv>kl+_~4SOPD9y!%P2MjpM*S~ zC-SxAI-X!)WDLDLiwnr<+AMjAVQzX{U_7tHdo3-cb8fQjUa95RjO3BY$$Jr!rwb_^ zLqo!8FJC&$$Slm-QSBdWeVyApVUXwa;t)Hh=jUv@XOt~`$0M|c1`-p*hjSbTZuy>S zb>5b#SWrzlboA)0i!TIb^z(3w=iWWKHZn26)RVnt8w+qYuhW)tp9 zT~3SRc2B=e-(Q;ghAgi*6>hpsyQ%AB7o_%Be0d_Np{3ZU(?1hQqwos+gvN9^l zU15D+gV$Fc9|_@0O;7hqNfF7%%U=I`xFy%S(a?Q!ZEfwj a@=r&%z(D*!bU#;_x zFJiYiWZ9oTe}0lb^xNkb-1$?Te(QHE%+FYPdU+MKwz404u&3k8&39t=&@$0(vgq#BjnSfA4J+IcUE$E6=%V!vvJPo`%*klC|`$*N#(&wa5AD8SM^2DiD*2nh-a?Xc-Q)FOjNvuXq1mhIbDX{Hz~9~p5JlaXN;$)Dn4 zV`H=L3t*Stw0hI-LKG~48ud+cbrab7BDjuaYuB#DV|r!rm5G)~aKDO5P`ASw|4~^K zoSrpQRONNq>*NZXnl`GasN}fnBr_d9emwQnt3w(ZcP$r!d6iF}ITJfzAt2;&e!GmX^Ywp6k;(I!>;yc%7FgdZvn@rEWS(adcguNWtuNyoJZ-KRi9xnwLE^ zg=gpKHaGnkw{LB2y+4p$ny0O<$}NA|PPjZ^vtOuy=92yKC7Lf@yciiDZ|M1f$0;*E z)ur@$t6J{In?^x+4INEpQC|N3s}%y+ZmK70bi4`T#`av9l$<Dr&D}9LcneQ%DFt6`LWkdrQSdLGo0+6%W%a{_8#O-HXW4!3_RzRVMF8muqwkeP zIx4qDmEv}}Bn$+(xtE@h`Tb;Q?Ez+H=2?`yFj1o=wzjsSSQwPGexZeh`}MMIm!}lW z?~{^}BDH6*CATqda&q?f809M8vHNNg<+LJsSGS*fx@GTPX7VCER<0d+ySHr%KYzme zgIrrrL>}6|pMqB{YS(*IOINq+Wt~jPsT0y(hHk%?qf>lqeJv>^E&ak_Km)Z(;peoF zZpI^(7zOH8tEf)?o=pFIeL3xE6B7^Yu7ff4cUU^(eQ_@xFDlqW80aYPUYebtto4@D zd3Ej@c}{EDrS?w_wea>eeg6CisO(FzXo303~upB%Lf z9bB1F%AL`olx{F58oz&X#M;KD2<<26-o2IW9cEH)vrhJdpXuxC>#c2Vi_s+3F*AEJ z8#ookxh%|27TC;9JCs&b+++FT8yHxDg+b54;=`+amqI!IaG%#f?=?qgcoVqIa|TMa z6a(2ADTiEK^47^wCu<1Y-)klO^k{grq#15>$<--bKX1xraqCATzkYq3%fl-|)#Y5n zCcZ_&YP`Q;$yIUtZ?`QuDCBRCM@nf&AN&3LcW~5jTY(6+KTo9F^!b*2bTq2{M<4D} zw;lTY!bI7=?0A^yfvntIzpt5A%C)Q4u4N7g2*`0k??=tYI&$di?&(=2A|m2(Lw;hg ziQBRzhxfU`Ykp%B6ZsInW1h*$$x}1K1=p(ZuPpoT!9F){#(zvbtfdu}`r-vWT7Tn@T(`L#RK3UFzGkLa8rs{xO3lb1ACTj^ z$zMTSLgMCVSH-}D`h=^{P}Rh*UxK4e8VZ;7r_nv`%o;FAUjF%nvPC1sK*)1l=L4&J zdP?d1+>COB^NH!w!Uv-pz(xla_nk92KUw*@7&k6xi7dHoj<=F3(0ex zoXgM3t_ z>DBoSdiwhH1@7*YwF~OIj7zCY%gg(7YytAli%UwH;7#Q;&W+W{0*O`l&~w|*DZ-M+}o$pwjg8wGY-Mbk84#g;^$9ms>Ye;0)NjF!IZ)9d< z?C6VfSJ2X8K}m3!X=!O0Ev6M|Z!hx5G4iG7R(O<}x(-$I!^2738MlCd^5kXKpZQFz zyUyO~ei>Q)z#HyGdZMR6Dh4b zDXCHO(XkB+ms3O}rAG2`oMn7N2^Ub6kH5eC!u%ZX7!^SINYP4;Eu5TGz`LnwX~lMR z(%t~~sCoP2)r@h|+XMygFfe0fmBpWW*528vYM%dKua%OUC3<;$-;Xcpw6x5^hjeuA zo8B6)7a8uUzK0#J!gXU_UpUjUMGn`D6&dqjqk%@QuwgzOE@i#@;a65|`5zlY&-7G< zIt{+4K+{~Vsi}#-HMkr8O(bt*iNTfcyrcu5Llrs?zt;TT*qY-&iwY8J;1?LU_LYth zw!Lq_X31#a6CkScyF$96M#aleln+HbeCXg6%{hGGMVgG2$>%R$?(SP-D5a)0d(U-r z;hux#8NbMz8@3wb$)VC-4G9Uc3^?!t#iH{^W?MM`r*h5q%G%oJ&GPCVTO*y8U~P$8 zw^Ok2tlJBzYNBL0EG;dy@?9ioXlU%^%VQjy@5JtmvOs0_^L{hb`dYUmo3Xy&d8d)+ z!Cr~VGbqudX|AASxq9~PeNJ(47Jy8}bLY;bXL=n?(O_lnrwJ zeDQ2=KTX+>wk$IC-2zOiTTntNcSBH<(jVfPai{N-QhOvHxyt-Tdpl~S00ZLH?mJkn6JIxIcD+Y)%N%A-={iH zT9PM6NKL9`%f4Ie(m5YjeOAkD=(6WGpu7b;xfi>@4;6Pa_>}q(*X&U4@FUfD@&%Oz)Q!oyTP0FZeBYU;XE}{>eM!IY z?5q1wvqa@(VPRncqJ4dRt7eru>cg;wudb7OKflYYR_(h^_t^^<{8CdzUB(+USwv4? zHPyf6OX>wy-p30PuG6~(1qFG^+E7D9-RE5hHMDkckUxGrz_QcQCa)?#<>|*{-Mu_~ zd|X?%D(;LQ8|f&?=_)L7Kd+;$-2u2496gBsb68n9B=#h#AjeR1wui;njK|n{Idics zydS|WD)l#(VN(ij%-9)=N+hVAw#<2A@Y>6lyYgPY1_mdTfenjl>j^|l8#F#xc8CSvAQnw@(S>s z(e|RHmA9!WbR05lfR-gF)&}PJolT#5Uc7qcDfjqxbB^Qp_p$38?=!T$7{MD?nh-I} z&pVXY7wNpF&2>^gejzy9Vc_mi0q(>Hm`vHy`E6aD$V=KxzN1kxn|JKk5w^=L;6Tbt zAbD$R(fOISh0gb}$~kizH*Wl#cX<~mHTUo8rizM{xI9v8QqNQ~0jDU>7w_(N6^q3M zv7@jC*B!?8X~}UI85{e+cof(LTcB9e(3SVQa9frQx2>Js4#0t!ud1^ms+^vdZGe5s zvjI!iE(A}b_*gH@ySC(G<9xS#m<+B#_3qqmt&EEs389}+7TU6f!n)V86#9#RSX*>j z!dR|2uREz4d`{L(y=IJ@5`Z|GbL**{{6B84ZlhNY! zhDU2bj2l0g4F33O>Sk_HSB9NNItD=elaE~hC^8Z1;8+$4Nr#@8y6QB zo|MbqWACK`Gw1!R5;%PH=pg`Fq9A;DcESY2{PSyPN3W9QfUCtsba?mfWZpX3#;)sBiI|2Ir)@t+C+8ETRAb16^qyJ^i&coA+(m zwQECseEjE^W@~ru+C?Q5k(X{TIHOjC@95R(ibGdx^vR0Ng zC*={@A#xRUb!$=e4%*xAwrtHK*M9MHD%Cw<{bKBJ-W|+BI-Z0;8y2{QiQ90^g9f{x zlTxo)bN5Vh4hZMDk8$+nw>EkZHcjKT1TXH+Z0xB)ys7fcHa9;!8nT#)rBJ9E#* z0b+x9XecB02zU6lCQ#-iopc(CsgUs1{uyDEDJHaCas%yMUEJD_$MC^rd)r)2#hTp& zKx>Z)lqrU6hDURy-HX{^KM2_fb`Q6#tl?fMqnf^ffdN{I6J#g)_3M`?D=T|?dy{3O zaP}-8f#SQZTG{T27?%I+sjg4f&0O!!bZYa-gO2em79;INP{VHK<>l?H+bDS{3845> z%buqV=JI|_LXcmqJBn2e?XYrRm{zW@N5Ock#xIX=_e@Di36pitH$8J`c0pHA`6U_! z5vuTGuguI$(v{*f3wwHcZdQhD^}~Dg13~gZL9~HfM73YgAWzHIQbFNH7(|hC_0e7g zjHB^#iHe?ts-$4s3ZzkXoAaRO!-o&8FI{3f_4Fvcjg5^$@;mLws#aee^8fff*J1T= z@$ei17To{2sp%$Ow;vE-`bWFENNE8IHKh|EFE;WNq=hMsk5>7=pB7JiH#~Lz!MtxE zc+LhaY-W6`T)dhuo~#cFv}zZ-xb^;D{SC@-YWy9Yom_k;B9n4Azmz(Y{4RbNVpAu0 zE<;8}MsZ2W!I}t(Q;q_e^TTy3Ib60tvf#U;6#K0uH>|uXE`wzB)-@S)fWTQ>m71 zXfZ+*A4nN@#0!#iRjQ{q3;h^N2pBeg0YIn>S=R>;fEJatKGo=8JzCQXm)}2atyVw( zmYav>Tn`!1=)wg7aNa|>xiTyeA&F-RQNt+0r593O6J-sx^4;q;$Rx>FsZ5Xx829Yi zL*&rTwuSl3EReX^R@wx82Dv*w>((diIDh`U)9h%)XoIGq5&DH#3mX>~mq)`F31)`_ z=Pzs^8<>fSDfl-PE-w8@@3d+rk{j8g?n4nwq0TQ|zmK zc<|^^I$Bz;=qu*kfXtdRBQ;MlsTe!G(Zop3ehFu)*ckpg6L@Fp1>!v4%17E$`4JyhAiDKua z;nrkHGhCaGudf`w7jUIM{eq^ar{^7~(rXdof^vrrnce_*&#-C>0E*mM7cO>z$!)4* zWo5BtM@Pq-s;c+WTRxzMNMHF?=*uWTkxAy!zCFIw_7^87=V2wKB_r0MEuhDh5_rPsBJUrX(6BXc<>GqZwOJ+Gn@U5$ z>E+GE{bh*j>wWvc%zhAnDJv&OX@XJq#CPD>DRiZiYHDiz63a1sz~Wb82g1=IZ2+EH z>X=0gKq@wE+G}|W?UrlbzD=a@-!pVuMRDp0)l5Yjz~kY8FKPZrEWVEbv*fr$L{mrn&;_^Df)X_Q@_BIDFV=C<1h_9s7{TIAHN8mV2S7hK6---}+Lg z@A`&);W2x9;%FNS*?KobNzm09Dd}@PsAL+L^1YB&mLT+*JentpMxEK~9X9*XVmnET zi3zG|vgqkG=ex2Rx{NLl4i3H@8M&stBU$wImGNTeBBaVVbKmswiJK6O%M!QkrUn@~ zZD!{E=+PFbiO(h!_EwP@RGrh1ztMvC;^qx3+58nw8GrwflmCbsJ`lUDaI`wdMm4>> zi7yve_FQCvP_f#p)peg7HEHE!S@P?p=p}31%VFTBrw@`yjf;0y8KCwse@T!p0JDIK z7G-TzD`e>1Phw-$S+?SpK&%QD+PCk^?WgG1LE$^&`ien!D=RC($b`q8piaaNJrL_r zjl)VW?@aZvq2m{RdLk+S^oxs^cRBEMjvUm)rK?u0ngZN=VgFqQveHV+G z-qA>@jnJZrRYG80G{`aK^!f9v3=Iv5;Q=PK_sBu=U@nQGeB;%eF7=@YV=V=wr=s9D z(KYVAw!znnT`S=#kN?S~14abkaPOrM{_CbEO zcJyQME?Z81Cd1eup7eInN~7WQjQg&De-<9{to1yvZj!5=NHtSphG?Qu(Dm!ieEun_ zP0`AxyF$uj^E-9Y^_JR&DF)IrW{UCb)M!s+ z%-@=_dy{|jF-{cT^5uaXwuV4nQ|#Y~NtiHW8u zWBN_I1hb^$kl^H$7cDdYE&9JzKqgjo73ZrPd%W=kYHk&k$wMkZ^{aAj4UfL=wgo?p zRn;~wh;PhAg-W0!SLo3u)eKOGRPi|x2%{bt(;(INC z%*C5sj~_o)zhcPmSI2~h^xj0};AFIAQ`&Nr5Utl&#DGFmFE;H&&2NX90={_u=2#}! z;>_gmfLp#@-Vy}AshkG<@@3^vb*KQAyoUV<6+7(SRw)UsKeQrO>+ zIEtdu?kAF82-d9}0YYF>SqB|I_2o+e6+M*JtnBRY=N(u6bQif$*T_%c2SLHX*RjuA zWN2w=mn~n;i6)_%4L89L3Ky`y^2G4h%(dv`@-q`ZM*9;}Isxd*_0^WwB=pI}rion+ z=n{AyzT3@#tiu!ktV6Xmx}lYJVZjm7%;xEvz#Hxj`rW))1mlfohUijYkh9v29a<;wtBXUZrLRU!ME$bT!en07Ew{T|u{BRdqewm&8jdjG~F1#UHET zX=d=fHR?xKF_7pl78CXUU7AwM)=JOL_ts{5Y@oq*^HZL_eavU1PbgbL$B{>uuZOZ; zIgfj5aR)cpsGnnh0QCEXRh!JR6)UP**IX^(!i(pN1@>xh-_oQcAPl(&Qs~WFx9BS8 zZ{4~@)29rLm=iA12EL-(&x$BlLB7pZM(4@a=XaoDeLy?!0yKWh! zk%&K+pjlPB{=oe#^;hs=F#AOSf%g)XY+hMZ8ZRW>by&QW~yj3jw?6(0{ zuUo%fb$oB!lCxr@55~!`?l4{kjo1rU%q1Po?e7ya35B+(ytp45_T(yO9SCk zk1H}ZmN$SyHefaDo-G0bwCwEcz;)%YE{^7WTK>1a{BBQ!$$m&d;qH}-kT-ZI(m`-) zo&|mV^2Hbs*LF{e>ff5fbKN{ z>Y%|AlcxN5J+`jr`^eoo4aqV)l~(TA@rTx9y~oHc;*JQpwCSm0^axf^ROFVF z)J+S$)Fw=7h0Kb#*;DYxUzpXgi%UwDz>Y(gl7=tj2^j;L$XzEIUF|zcXW}Ot?_UwZ z7e!aarAV)_-4WMEEalX+X+!B~c#P%^{6waJ7F_~X!0Wsey(Hm*SFv0MxtqRXh}Hn; zUV(vurV9kc5qT{r5YSC>JUIEM??lp`5?M%AZR#{QkYCyPHDNHJ zXH!^-l_$B0O5a6dIuOgOVsY%xH?_5QFXGRCeT0_Qn~Vm< z75d}gqdVZ=Q3@fc5ottfVRkI13zW7P29Ut5n7^fGu}t?Cs~TvXkqBvLCg@(vDLlNqk3qb0x-_5bUCYhQ z%@ZQs@ob)MsW^56sU{E(?PVSNKOV82eHP`G@UewdzTR6Wbv5QF9U<1PWFO zf-?sW91wS&NGkfVbJ^dT;gIS0{ z&hJfLa#VZw?rrJq?@y5A^DIm|Q#~^A)ym}CyT{+&$I|A{{#4d0aD&S>DB9%kw|+lP zy>0Q~-0nA(l|dJ$0}Clv(UiG?C~+qX7receU%!6+_MJOwXLarD?CRm7y*gLF1m9bR zSL;wAY>?*zs&wS2qN3u|@86-UAGFSnx9<$C`qV9PQT-C1zu{&A-$P=A7klPx&Ydox zcRoOQ+g9HMjYL9UEA#PSY98!8kv2T>`6d^vwtHcU@@o`=J-X zt@4jmz84KmNc{3o9@wY>_;P)^xv;W|qeV%+e*eOZ_jh~8cQvN7fiHybt{7!(oVvWr zyJqy*UWGYP?}SeUCmOSv8vk0>E!bdWrJLSs!AHX;3x# zs6C{-V9nFwwFH&EH#tvM`2TH|*Pl2>OF{I+C&=1+9Rg`;@9pKg86Fbi0bH)R@2vVC zVt3+L^1F>#NiY{4Vf%h-dbt&A>qcIl)GgM%Ybc^nLUv#HM2F5$Sn@1X_IGy(qEy5; zYK6(Em+!KX5b~?uj=_YS6R#=v(vNpfkFf%jtt1VPmUh?Qb+K~;x5BML$X8@-KY8{n z22Q+>pWlaLZ}PzFx_1m=Bd^6~1icD?8(7rX$V{xZefHlTNt*T6gcGKS@Iz2&sF#fE z^cG>^=cUHFwyM;eo|Vz8aTzCeCMa)+6@UEF*x~!j(*afGeV)hds*IE#EJX0@CNb|5 z3=z_>D2iMpb+*U9B?XE<4ngfPalw#ga_5XH7&-w~$|Si+{WbXDtiRC5R4KRq(lUbe5i@F@E!GP<59 zawl9L3UD(2;XvYo#%y=b;%5H^T8!$vY#8LIRX+F=PPO%Bqs(0)jfJzPO#Re#!_@2K z4-`pc0MJ8_xMD zDc@V2XUyt2$b^%8iJi z^2D1IbCoiA0|WL9%NAcCrXrYjh~^zant|Wtp+d|xg_xkhQ~aUjyU7En@jMW#4cGj3 zc=#$x)|GL7L@7KG9pXf^iOBTt9xp|8(=uX9*IA9~R{2yTG4axJJe-{`Pij?>_BO5; zA>+CUc@+xfkfLHqNy$=(eAf2%hmcW7I~(jRIEo}-;0&^~@#E(S>9_cWf4xQ!O+oAi0W;Qe&up@kutI|(@8>Z( zz+yhvk|PGs5rpn`M1)>%c9i?P1jr;w*X=g{NR6h!TgxGNNf6NxQ*b%4Ed3j&7hlh_ zr@nr$0+A`A!P7-JK^`I$1oZ2W;_qIW2gnt*?LJIAIHb&wy4w%$2>vXegb0EL@I>EP z0987Kwmqm?{5(@W7`EiOoJM|+yesku5%zEaDvFIPfa!Ad{_a%({2rN^d*{cZ7WV(q z$ZR9A@g6*QV0qzVT+oq}KRuP*t5`MTSWNvE*ner?WtS|a47C*mLNP?^{XU_srL|?- zHtHisj)a;!y1B{F(9+fuzBv!2bTMnzmM?AKIN0kWjzyG$%S(N=`)#TE zOMc;_ujQU8ow@LyZEY8GnBaT~TY}DlOhYJ}L&v6modDsWw?~;4(1sm)T@wT(%>B~X zFLP$1MskDbf%%3o#0Nf)XvwxSv;Y2nIRF-k*Q{e<+2$-s*(E?S&^6a00`)`&f|#fO zCt;)m>kggyf);H|y*Diwa`&qh(yR691&kwE)D+}2*2fFCe zf_#Gaa#|+zi!}(Arij*oi}*uCx#Q&N{YMQ5zX>VTW&U>`G6zdZ&mZnNThE`Gk6lti-BTY$5HBSb6n0*(LB-EHP0MQ4J7f{-K?9RG|b%Oh); zV;|qF1)BqcW9CtzM5#a3cd(&@20!ohJuqxwZqAP)6*qGkiYvU3 zy(F$f`t6=Q8LBq?xwZTLP&`Iv{JiA%SRWN-;dh<;$gukYE1qwKuGMQV(ss}#YPM!d zEB&Kn^(W|4Vb>2b?6e#YJW#@g%!)j)0);{n=p?9!o%bzZ5(#QJSH)AKUDf`l&@JW8 ztvoW5rGq?+n-U|+dOENbq6BW(I1x=2PAMJ=W_G_qxm1LgKCPxvuA*p&2&JN#YMl#n% zSi?`v1<+Q-&_j06U73WtVLkYH2OM^8EG#){5;G?uC2Tj;4o*5Y@poz#a8;sp3fmoo zfdf*VMvXykJ~R9vlAq1EgZM#Vy+eM46UY@A(VHwbE&glL%;l%g6BzNAS+Wzc&TF0A zM|*CvOOEuuR!%E3zxY)rLo3}&dt5KW38=;gfpH)Nf}w5~q= zI@_d7R%}|6vBt5n=VlUbT>e-ErtIj;bbsD^R;`zf)_uIxf3(bh>8dKLAO@~b-i0zA z%;-#Z=`ZpU{wz8o0ss4&MZdK;L!>4VoR|>v-J6j6J-o+X!NgvV^nlBtOahwEOG&`9 zg58-;`L5uBD_5?B2BT1k@7t%eCtXKBRtq<6d#Z4e+fOARb6|#txDKg!VnXe(|8{Z^ zVJ3)`?{}c}1wDKy)Pz4*ThNfTvCVYW(ACu1rXCfB*j@;56XSL{WFlCWgkB&M&jg~X zX+#G#6uwC1Q#JlXdn$aVsX;=sp^1fse@BTod6&$>dhofHK}q)nPpEE^!AtCamU`PN z(c3h;AK2KqHSaRXl5}=ScAk6a z2k-oT!e)Hk*_iy+9!_TAXnFjm+#Fl&ZQ8{ryerMNN9mPi%O?I%8m#BT$Bzq7&cg9r z(c0PyrIc9w&?*!wZ8(?p);>g7*%8(b7n%rmfLIUjAIzh9%I}=TAB_|V$^+QSLwMNk|CNTOrAwGBMr26kmjvWamN?6Y%HbPC&D0Ryjb zdNM)Swbg-F(E=j9el%rUa%1NoDtbLJG10W(A1?aq*DuvN5w{6VfL*w4f2kppX@uw_ zwNRO5s`qUE*dJc&(kw!I{x47b*ho60v)kwb>-tk`7WZb&Riw*ZTwP)8J^K2r!5n{5 z+}#&c4ZDViMI<;V@OT~iGS7cl0jDt74*I(_B4s;Gs^Gz3flix$lc_>OMDBV83c4c9 z>K72&q1qY&7g4Uln~TwYdG=&t1BC>YKwB^ z&1GclSRzaA?9Tp~ZrJo_qPdBS`HzmeE6UxmQR#0l)zW40awPpaC<&&9Mv~Sw+%SPL z6q0kd|Mrdw8`5d)?OvpwJZMbL{jGI#4vmoh%x~ScN%V$|MsAzv?ubN&?XlQ&S5W&p zcmQ$fiTz2ys{1aVshIKfW-+o`z(Hv5gHU zq^{u;HCdh|DZafw{RzE^Yo|1V+GGX`ooflDHd5LT#zIRSh0F%+w)mpf$^`vbCE567 zU0Iw;43PqmP-cKO9wuSOM^r$-sQnm0tB;m<0(?5wpn+OxZnVf8Q4g`vh<-)(l8+B@ zRftJXY+*bVBm}Hu`RvK(x12d?gHY-<5|>F6k&(-DQK7zIFn~)?kPf2? zUa_&U+rOZD97^{*U?+@u7a9%@j#;QR#2*E{??58R+1Z&CJdlF2mR!aZ^QZqfhsQ!i zh%0}bhO-UoCY)G^FK~fNuvTr*gURwiv1dl`-ln5?Ims|1!1nzAO0(Ll@BwQ#{<=sH zqJu`T1h|?)N!Fmncn&&2G18r*qoXWfUm#8zi>`I_GsJD=s4WM0N? z?J0Q6{bzr@(o8e;J5&Gu2tg>gwflQ4eDNf{`T9Y-l5!fMtXZ>$auqd!bJwny#o`!< zQi@G0bvw1N6N^DzX>QQ^wm;w@Rs=~Bkokzx(nGg4iO~R_c_jZRq4`PtzE3r;7OKb+ zmPjU@nXW&Zq{Hx-uOTuY10#BVetrsmn|%c%&GNqE>#&T?3U5*IdqMUGBPIbs^fqka zm1O9v+sWEGHOU{SF#5|gCBJj=YW&$>p#Yf59Cda-@UVh$A2#Z5NM>OLqbDP2bn`*|wmDkLH; zEv`MH5)GO;6$R?7mqwyjRFq+ON_Ax=@-EbOlz1-)^-)VlrxO`PMFoWwkuE=vAWw(Uq^=gnwlY}GtIbi7vHx7px(V=8 zE`E8n3Ivpzjt++Ea*`e;LoYd9BpGhkO9#+LMM2arNAd_9Rh}0_;)nfFfxk)X1ENQ!Yyx_^yNMit%p-}Q3F-a~{bXffm}*^c zNQg266NSu6;-%hkW~Cdk-mW$mdt!BV8N|UicNSTKw>-F@HPX;K0|`eje)bF*kG~wq z;@m0pk)sC%x=@mv?M8oAiYJmgcEqtXyBaO%yLG^i~o@H z90Pu_e;s-bG1!nMcEZ5zXgRADx--QotKA2W2ICE0ptE;bW0GP|9(&CsjaxkvHp8XU z`&=nAy7s;pEj-?0Xg0i=(HZAID10g>&yTt`ThzD6PMEy`nm*Vru{1Qb^j=?KM7HZ* zEXnSu&9JEJ-QhzPn03#^+meFh5!TcE&bacX-6#k~-(Ba~VlP^COFCdGiS`KEE~Kfj zOfb8CXQrI_#7|J;_c`b(!tJglBKExfXm!_X#K z=lMS@r@yA}?Xcrqm67VW{c}$}Q$xbyefszQD<%}NEaOI!w!E1g>=F{9A{I%o&JMP+5X>ZDE$jRLqDAwHyT2~4GOEHTCL@*DXHT@_ek zzHn`;H{Zn*G+%|36auA4av%8fToe;SNpELoY67p%t`O17I@v?q)NqgKoV2HUz~`7F zuhQ#_){-9}Xbn(uB-JN3R}xETMY4u&|K0od&3!KsT=C#b>Z~Ku)C57JX<_WjsMvEA zBCbM{Vq^e}h|A8v8$5kvt_fBDIywu1E=1P@N?4JetTdqa6UF{HZj-`uX=0*&{5+Z-sXFy|KoPV7#AmnF&IlZ{rhJRi@5a` z%!$*iT^qR5@Pe7yN}Qpf8aRgt$P}jFNb~{;p=bzRq-T=751Xc_y!@%^k6lh$JQ!9$ zyy^@)qTY%HZgX_25nxu^iZS&?;byMy!bW~*<^VQ1#Y-r#Yfl58!#2D(^94k%2!W1= z`yAvDpFm~jwE+vD10Qe6hhTu;Z||-Q3AKzWl4gGTM78PD^rA+r`cKfwBf08%XUHuz z%|!^H358(HlKy|ua`k|4n1GmySDFB;dkkM1YN^PW1DQR8^0ypA;FwilBLxd3E!E=d z9{pxTT3Sj@RJC7X9ju@~iHk+gc9-|%KZ(y9Wy9;6YD`D3d6!vRxJM=I^4?x4LH{zT z?|kT4$PZd+rbn_zA^)oPWB`V#OtztR-N0f(?X{Voy^N9bj4GS)e`Rg&j7ufI&qIv` zIKG(O2V_sem3ysP?+m(+v{PXoqB`P)$|j_nDTQb~?=mcOLDV@VB(!ahqoYz-815~a z?~(U&bn$MNV;qSwvTt}e5GpU0St0fzB^620bI`_$PHuz^L}3@+rNZV2vW1b2rdAKm$Vz7zo>h(1(LG z8LF*76p8qH5ZR2-=UAk#?4F+Z;fIq%C=|ef`o{-X=KXrFJcSb%USOUokDNFmb=fx7 z*^sh`H`Cwa6}4mP4Flmsti!1uMM%-xSAgn}If0fIsK$GUXpc`L({X!SotD-~PqO91 zB5JvSG};SDJ-`{oZEYN6_8+}iNSirk=VEx{$+JCz(GAE3+cMXfx8$Uos#GI=-;R)R zyr?DW(+IHGriKjuNxfNIV65;i9UQ-aNFM8A1GulodUs)u8A>HV*bp&D(12`vbktxj zZgeaB(|hSbsK08?=tyKHGjoZSo*o-wR40B7w{gIZ4jf`zv^33kJ#JX^=jyV_-5^%} zT-Wv&9z4nFk^v1K9v({ERL}r%g5N*8Q6mR>y>t79mL3&DmS#JsmHsF^-`zC$LqBI& zuoC+KqYn49KE~|+kI2;*1^}v%(=bR;*#IMLW~Xc_WdsBSTp%}Kj=QvAemsT71jgWE z+)7?ik#+G`b{@oCBH?$tSy4ABs}Ou&7nBv)5VHn6tOUou(Iav#i&UR6R!?xnOQq|W zyU88SFG;`f)O9^C8uRvs#tyn{Tr0)`P$0c`1|k3%QyOyyH7IWWw(IZV|52GMYNCXU zhyF`tUW$NH1==oHE)Jk+KJtJunPjRDIovBM;TjqmBDeoa$0Ad!uAB6wxE)a}{%u)i@2B`flaJVi z?aLRgc)jEUyyS-Iy6AmGDvE1mz2sd5r=FHZ(ssSc z_hBNC#OiDVxi8Z-|29w#N$Y3m3bT>4Dwp<)#nk*-Z~0rNVmnFblbAR}j75xnk;&v< z6573KHJtYq;QiTOiH>a1KTvhwc1Kng#9sw?l~Cr|ySqK7rkv3&16%}TE5p_U%rrcn^`J0+hcI;zfrw;&Je@$%)% zp)3$S*jT45>HHOt$K)nX^r9S3AI|CFEKF=8#6iBf1^D}WAwV_MhaP#@*Z+Oo|Hix5 z1NHU>pj$xpA%$(I4_)#|z;JW+1~3!By$WbE(b3U7Gg#1`aZwyg(EsmE?~CAM2HXt` z3$qO@fGLhcJ_IM({?p!8+X!c$dxqvAf~rM{Df#@4TDZXkUQ-ca6z3Png=Uu!WWWl9 z8-T_6Cs!R4B8?Sq&i$Xuc!}Jdxl(a2IU}{ddcKoZDRKay&mI`YcThfdOiW%9zm;&z zf`zFP8Ez0U&;ZKTty_qfR-w@5} z1Cah7kRhR&SbX>S%<8;wMhOOAO+UCVyYU#~5m>WN1OzF>;D-8$;VJ7_V|27FIPwU_ z!#10XKf5cD`BgwohO=(SBE@B7UFWquUM(YCMloFv_~4gBf1#PmW)ezPGYt5$;HidaX}}{B1(4OF3CY-l%9eFb~VB*Z*! z5s|gS1q*IJg#Mb`8+KG*>6ZULasl7vT4o9n$DkI3-WMPe50|VgM~q_N^ASB@2y9;p zddvI9qE4dwA+(kBy|Z%(GxI%~y0OVgMdY!tpWDe4A*P~5Fo2IZ1;5K2?tX{qo7+k~ zO3KOyk&)!r*P<*6-Aba9jQenK)VfWZptMpa8NA*E@Cpa{kdsr^(D5L6tE7V9IF{J% z^F06uC1_Zq=(u-%X3%X>CCCvmJjiXpO&G<@wK2wESEL6LOrs(MM$bpI27CgR06E=h z1OqVN0+^YYI>BS!)YaX~8zKoj*roJrYOBC=#mA0ct7`IhUypGR+_wXF+46 zAYjliaYP~Fop!;$LbG*jH~K_lpX?bEkckhT6)As%36I-9;^QD+lB}d&2Y%Q5sD;-2 z*NBZ$fm2j9=eZ?dh1Ye?U)8Eq4B7J0zP(`R^H<1q?NCYUZ$?ER#VJZEBJ+E1#RAEe>?pe_E*C(0o2M8%x4e-4O#-p zp)evUwmp9PCvA*faE+aeUG=a|YK#tBB-M515)u}V-VcN^BPP3O0bm}OpNxY9Kh&TG z@r$b(&?CV+Onet%3XUWJS$~zjO8cbEJa~hY{gb5yfwzo5a_PWr1Vbaqa_|(4#~Z{q zh7u=y*pCnY?nB6#hqM^T!BHX0{WpmfHzaEAz$r8m#i)G^)XDD%tVt7!Ru}wF{+`}J zXu6bO8X`}&freSukE{G~X**YrrxRYu%nWrF;~G83+ts!)D2QPN`Iw7%c*{4pw7dWq zKbQVRHS^;~wNtMk-N${ghQka*Lma8#VAbAH-z#GHg__NMf0_#z))sOEMwfws0fv@$ zC#c|gsyT1e(?g2rj&m~(uY&ZOXbZySW3J=6x%Rf-UjlFJ9CNtISbFS4Lu85igN^BO z&zk?qsXPrZjEI?G6@s?^ZKWm-Y&rd&jX%^k%JFrzO0N5}gaOwa&D&P**)sTZ_l^BW zfb68tx}mQ|C1aX%obhqCxsh<mzNzSrD&XYm`_pHES zS75}P%3b8CE%}2(=dVWqx;WAQcxC<;LsR(ij&!i35cs&0r6b5Hcz% z;YEXO1sph+aCh8)o4r~T2i{O17pEAd zb3x=l8l}8XWo7a%=;Wc6r;-K9*?%~H@ZrO^Y+@1rZqq45c&Nd(Tw9zaIKy}fg`Qu< z=bIJUb#Pue8!Sck?BiH2Jpu@x#a{06-z$p8Wm`A;>sOMhB#coC1t&}(8rk@x?#-Kb z(i>|2QvAFjlv+&deSDq2b5XbtUxky>Fn%7!bLmgg`i7_HGW{Jv2u(sZ85j~D{eL#; zhsqN@1wfB)evuA^DQ6-;$;->*Y>)% ziC;ocJ{{Ml>!EY6^pfLjg7|U9Z!Lw4D+7S|U?_l-n+E_(T= zX_GDT(BxPYGD?REP!AD@ATirE>PwhBA*O4xPWtuaWFg`^AQ!AAVIbco_Fob@p<+bV zUdP6E3ttFP9$@%b#uN}&7zWe#K|h1lix)}U1u(Ikq((qmDJN&=5;Q+_ZPbU`Mr*?o z4h1N_#yl`uFAg3FPm;iqgSws0s;viiR^~P2bQ=HHk$A1=uM$9?-@$xO(#ux8>oo25 zyN8*~?&3g4Rumf*=qBJRwj3r_ad=E72wFmFFT(R6!$4%x16AqCMG1BX5JQ)VCNm6v z_zk|m$cGOxb~E4|Rx!;04jsTqm=QrnZqus};MyuP)xH!F-oqJeiUDjvuVf)uQABaV zN|P-)%Z8l2im5GY5EJsBq%htUF%;HaLvi}ubB~^bBM|2ehZlG}v_X^qpY_{$Q% z>3#o6Iw|jtyk-X@p7EbxRx9R zi@^j!x=H?7H^3NY@>Jj)%d_u{m2PyyL<@B>Bu(67>~?tEuTzI>7SC{i(CHwH?cAK}IP42TcN3HziiPYBoHW^F zTv1x;19!cO=|me6xrcD|N0|zClLIrLI5O%aYh;8$k6uq)fI(+GeUim6t%g@80s*ZI zzsWNb<3OapA(TvaComKwu|b@s$COU8 z?a`eg=?Q(EAOu(@K~jFL#l=fVGRmyJaZj1RGcn8N&pe}kzP@Cp0A49vqiS|{kUnze zWcRM14_s61EW0X({9ol`iP>Hs)%y*9t zEG4y^@CGr(ix&m4F8wz-iUdYQaePWK3QO-3uZRGze?fhe+uERKftEFTs`C)MpN{B85l`t?h!wG^zlnpSQF$Cmh z2*>;d!%ag);KBneMMO~olTv6ZH*p3hkZ{S5n1F$vgQ4hgW`=hZN$ISBl{7z-uWX{@SPk(8tjImFibe8Y|`hiqJ-n2u1CMOoS{?V+xPWNisfP)fxwxgqWe_Dhb9-c3V2MA%?y zX>Q~g^YZ$ZmMO46tJU7anORx=prisx3)|4l^?wW$aWo2A9=HHobb6IjRr!^(i9lI$ zNG633qSHVDtb`;%3YVsL6GNgAwpUf2?+QUq0HS_=wT*R~O+yds^fd%{n&C?cT~ior z7&2aV$jQ6Vl^_>KKRQ^Wm~p;!FCQ7D)ty-egY>>J_4_<>*B|>t=tsa2#YRRRnTZrZ z1>7gGEgvVTxA*6c%NF%g+D|b$if;H zNDxI_5ceZD?-WWpC#@vn=$>Br`IV_tZ~c`@qV6aQaTH#yT%?$olIEeqTYf5!wS$X< z@(o`hK)1}zt)ayHW6=R*dU3gufQ2^u*qWqP-!++DqJ2X(6FZm7-myxxH6lD*7IBwa z8y$cGrh_GtNFyV6zV(NRtN!lb;>C*vhuXmGL6vQ$D?ELB$ZGu}aG`a)8)cYBPO%a?RE8cdqn+7RUgkwEGA|3(-AL6Bazd1@Ib|)(Y2d5Bf6I=lKafn zmME|Jb6GRYA)Xm`&r{Tst++_Lcq5f8R|9v7C1&dy{Q&fVY073)_^9?5;ti8&{eEQX z*27=<{Nv;=_;ob2t76^jj{n;FP7fY%C``9~fsrZR_79#8_G?zl)eemV9c%V%sq}VpAxyDw>PR_mp~o2zhxm5X38Ry{qrzxg*@8c zSQm|PX0y5Bn*X04T}B66S8?=1M~lU40XADEYRhoZzn}HmbdTM6yfoW+Ylfn3G&g@w zRhrnAI(;NMcKg%E8!)&{UUS0dT!DT^T3Ul^7NVj1}{s3yw4^$hf z(b|aN@|1>||4BqqWq(;zMVF_ zf(129{_Jt&n|5$T@=PiH_AJ8LAnR$ubt)J!pe=E78fKOCEvv>a^bmb3<2z(?W^&EWz$Zu2!c<8~ud>KGL9ukEvJmyq+OzY93}j^%Mj3gJ`2wkBmHF-W z!W&X6);7~{i~Af}b1sXK-;5BURN7O8h3<;{+jP5bA!D7JUbN*J9hqHg>rWKfNNidK zC(?#?0Cumtc$19%#{vf#6Xz&h(MRNWNqSX!Z^~GdI(SlT&9oJpjUy9PoN(bpZLM!& zcau}JjjNbU6rZtm)ifj0#+44NF@H|P3VB0x(mXf)V43V`-n*AZURK-j1A*x>Wt?Dk zp@Mo`r&^*MFi`f;3sx|pN0Mv5`|RRrXWq2u@Gj`*9ainut@DyXRlm0hKyv3ma literal 0 HcmV?d00001 From 6f3cd9403ed6b4cb2c85099695c775072ff60e8d Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 31 Jan 2025 15:27:37 -0600 Subject: [PATCH 16/25] typo lets to let's --- docs/source/examples/pt_zne.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 04be3a67b..e845f4315 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -249,7 +249,7 @@ You can also see the off-diagonal values in the heatmap fade steadily as the num ## Noisy ZNE -Lets define a larger circuit of CNOT and H gates. +Let's define a larger circuit of CNOT and H gates. ```{code-cell} ipython3 From 818a8643f47c692bd90f6612ae3d5b4939ba7ed5 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 31 Jan 2025 16:19:26 -0600 Subject: [PATCH 17/25] change to gif --- docs/source/examples/pt_zne.md | 14 ++++---------- docs/source/img/pt_zne.gif | Bin 0 -> 70645 bytes 2 files changed, 4 insertions(+), 10 deletions(-) create mode 100644 docs/source/img/pt_zne.gif diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index e845f4315..ddbf40a6f 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -235,17 +235,11 @@ for circ in twirled_circuits: print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` -The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits. +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits: [3](../img/pt_zne_3_circuits.png), [5](../img/pt_zne_5_circuits.png), [30](../img/pt_zne_30_circuits.png) and [300](../img/pt_zne_100_circuits.png). -```{figure} ../img/pt_zne_3_circuits.png -``` -```{figure} ../img/pt_zne_5_circuits.png -``` -```{figure} ../img/pt_zne_30_circuits.png -``` -```{figure} ../img/pt_zne_100_circuits.png -``` -You can also see the off-diagonal values in the heatmap fade steadily as the number of twirled circuits averaged over is increased. In particular, for the last plot, the PTM of 100 Pauli twirled circuits is equivalent to the ideal CNOT PTM. +![](../img/pt_zne.gif) + +The off-diagonal values in the heatmap fade steadily as the number of twirled circuits averaged over is increased. In particular, for the last plot, the PTM of 100 Pauli twirled circuits is equivalent to the ideal CNOT PTM. ## Noisy ZNE diff --git a/docs/source/img/pt_zne.gif b/docs/source/img/pt_zne.gif new file mode 100644 index 0000000000000000000000000000000000000000..a6fbcd157d73205e652c59fafe9d94d527068eec GIT binary patch literal 70645 zcmd>FWmg;wuiRx9x5X*$?rni$#oevAyBBvBm*Vd3UZ510;x5JA-CYWMpZ9m%ocWe- zbCQ#snM6uPlJ|=-0bC>S5dZ)JfoN!GI5;>YBqY?-)XdDxpFVvO6cnU4`@mrFfz_6X z!;$!-GYP*RDUT+ztG~a0EKoHOq>%=%or$QMhiq7k zYFdS1U5;*13$bm$c4)@^-huDlN96l8kW4g$Tq1&8CWb;Xib5fgN+pFxBZE#ShtVLP z#iWSMuKKfOIhSiApHHih*Ka}pc9EbiiO4?+VLdXjgK7!G-;zgl(#H+6CQWmvEsOrz zl`S||ExXsQc>i4UAEFK%VG12(j~M?PH7O7~C6X{Lo-`|)`d2AqUNd_^CvVZ9VA-r_ z)wXQirFzrn=azqCNJvO@baYZuQg(KBadB}?O-*BCV_REWM@PqYQ1jl8j-9ZU{rK)* zn?b*~LOXVTv~GuY?Zx-*rwkls4ISl;9T!iXR!*PQ%$+wZUAC@VbsZ%AIZEq4${ai` znz*Q%y{uojZeG6aSifpm?CBFeaQ1Ki`sMug@$upQ{{HFi0S1G; zy}hxpum}hUbar;0+%I1|?A|_Hyqw)WJUl#K-;0TfxwyC_CnslRWp#IVZ)|MbKAb<_ z-0SJ-_4V~_Zf-u^J^=oI2PF(uQ9@l!Ohj3Ni;V*W{ErRFcLpgLNeWYEb7NO?GYSuD zS1SrDS63$&K6Z9J zBjGUV4c8a+g+r)iv!#C)4*VeeXtOr_vuG%eLM)0zrlEKwi9xMWZ=|7QERDl-G+U;z zbRvt_w=&%K0j-Mw|7~Usa2BMtxDF za?RDtjaJOgz#iI~AwfVbQWGGbT0a!PBCWToxdT8Z*&cO6T|fbV#GlDJ;PN>EaJaZC zL|ZM+rmZpbxW%Z#&f_QuU@(J`2)1ZTETZ_Zsmj$_8~mb9?f8|$pAMg8y0wpi04M;V zS{(a{$4M_x=MH6F~h|hc|mH@yhJB8vcT9=Z0kz7kf`ixn_ zf5V4Uo=FI$qLqf2KB}k!0a_4sc)%1ESQrej;)IZ~7p7rHAk{<+iCk-N#^VE|c~$(; z@tmNNecSjmI{ZXULspTHrf@veZE38q4<-@=p12SSWm-5SnMfLd`c(;h7rHVqG#MZa z#D@pO!_#VnAm~MbBt!$PApIUjR5(cgWrC5Dk-%u0^`Q>4KxL|UGK?mZAE4G}VK7KV zI5P%eKhO$*`6&Z23e3txO$$YlJrcGxHU^sK(!!D@q7i%di-Z#ZR{&ZaVc`$J1Z>15 zVMG!cWIfN7)c6EAWTR5yL$BsS>(MskvTXbJ4@dc-g;C{=KOQvVeH6&lNob?Df0hA; zNg+Ksf3Vf7g=_Vth-tM5uN;8t79;Aw%o$I^d^?lva$!ucvWO2rSlJp#s?)myIGvZN z66TOKk^p~aDjNoXl#SuRfHk5>FFY+{;q0AQ&wAl7H-2jo2LmjqwUMgGw`%Y)mhiB~ zlRG&O15=!XmONa*c?7OT0}9koHZJjxqG^x-0zrKd)N?& z!9i-I5L3$-9zOl0YOdT*g(bcMBqH3>yI;zzZ0Zd$Gp2<<Sb zLS*bjQ1ic}B(dN?bLmckHz(mB<7m9*9(W*jLRbo4VQ;w0LQ7Mq~?{xgx4A#)4SyWY1*bBQa+;irb9u z6j2ZWusT1KwYr=g%t5oa!b|9Yzh|H9*#q1vM8w$%GzC@QGa#08BYWNzP`J?wAU^gO zf2bCxH!oNH+pL7%buFiJG`onPlWg*ih`NrGij28ewQ6@SdbLYtXCciF)3967NZ`bFEc-X6}{1%6D;ADAx2qH45?^^k{K* ztdZ<%WURsJ!ubSEA(N-1`0^qNj2Sl=`7TPLXvPXfv;oP=LFw_?;V+d{DC>YV z#fMeGSE~D;0Nw}`OpKp@;CN;SQ;#TaXwPk%N|*CgD6L{k`q6UEwt>9QD9Q-iP^?7w z&$JjYNd%)LC3NgLpn8E~P%T+e-rzcXYY1C?9AJHR)3_Gxu9W|c zX(U6#xulpwkZ>>xp*@HUZeYL6=j~LHl23%GUO5_1LC~V;^U~s^d$zhLwo_WjB=cuC z6Z?6K7s@uU&gw(gYbP}llJ6EyJfIgf_bTjA-qib~uniTgMHM6NJ8CYKP56G3KIOZG zx3oU#^M0Fu$#y8F^fDdSbyrT{ck=Bk$wJxtT`f%D%=Gek`LDtKZ^X`X$L`mq$BoC< zMZYWaum4sIL#~FEx^9xD1Rg1n==7n8TBOLyCI9K+*z+gbh09(_+3aBJm_F5`g?Q{s^#IXqB%)BL^CBdk+1A~QIU(<6}+etd|NTu%OeoF01|Dd?4v zTal4tonHH#Svj03%9vH8o&J+C34aFA)|%C^oYfJTNmY?q-+Jhy@0rNlzZJQ?!?{=1c}t9WkBs>jk$JbsnFWlgguQuh&v>aL z`Gv^2yT>`tG6e*(d0?Gsj?#PBs|8uEDoi@>;;cQwjxZrJc6h!*ruYkvOFlN!iA~o7f+>o6c$~5RmVzI z*Gg5QPH1IYWxY;Gep}ISW_9>VMK+F+e^(9Q59^o zR`R6w*1P_O2oLHEA!qcc@UAmOst2xCA2HPr>D1y>)s0vFB=)HS|0p8}tfzXdRoVVL ztNCFMp#(zw^EtDEAgh+Js`kTa1L;^D3|0vxM{U68Y@o`*)wyaEer;rShD=JuVxs=U zW^R3I zhmX~7@Na-+x}E|XI`Ye7jEbh6T0J4K&~9xI0vvQY>jN#TEf9zTzd(vqskHLpz2o7P zig1+W2fjrQyvq&0`1EQ=4~N27hJO(k9542LM;k+5IQPeGsrAWGuok_;Dh47b~jmW_|){Tt~k z7~R*#Vs#oH&K@7l9+&9Qpxm`nA|&VG#%ZnYe*;SSJcD=~YG%QZ(dSU@PXSPVXgM6l*^aeW5#;EOQaB{jY!)KhH zCrC)A$znz+NN1j_hfiQ~e_uN$n9jqA)@K24vp-1ws@b*opv{QXK);~p-~&OjopbW* zbMiU3wWsn4`DriLzOUQUl&rI&`hV$Tx(w|9(y{tW#Y7Tp&sm($N&iGl#u6FEAxGjI znrHd@aedw>X4d^}-c5hT!*9mOI@H{60g4Wi#sWg}k$jB!R7^z4tmnV$&uNp6F0U;u z3oL9rE(Y2!NK*ou&Fp;gmwbNAJD>L!)XXQc&Qz=|8e3tp*RNEsuhg!u5FN`8N>XE} ztSkzw#M`gXb}qW+Ec)hTR_J5Z39i+x$C2@T|AoF18?##8vFf?LI(@$8UE`Ci;7=g3 zw$!;I-Rq11ltF9KAYD{Snuu6L2HAF(c!zYSNOuW(+$U9YcP3vLPtZU~bu zkFT$-jOWkS}A`;89L^?z#{Rq|K}2HOa+Tl+biZJqNp zHQQ(op)k@Ipu;u|8Hn(G3q5y-jBVxh?JqCu_JI60t;06``x=wt98t#(OYP=8!Opn{ z)3xIueIv31 z{o38)^_^Y6U5kzF_0vuQN|3|*ffL!GQ`i14`U7`|Lo=aa454-3+>Mio?L+%e+gL1T zgCl3f!yTB%VbuG+SJxJQ?B46j(H_qcfe0wo|2RGOzp;B%`1>fA?N}`5AP{3Cj;;Du z_c$~6BxCZpZ~OQM#)&1y5ku^O4f5%^)G>a+Nt?rQwIXtD?NPJPNuki`o8Vbn_$i(W zXte8WeB(cycKaXpDxRTCZWbFHSa_e{Z=bDQoK2IRn+TnAZ*1*s971AulPb?gHqOrs zK${pBMg|xDU5B@dr;=UUtI=n;-$DO2F5ln(!^PFb{>}U0JlV;w*o)HK4nkuP2J8w# zehtaP_0D(m5C`J)jA+<59rIjW*IxZbKPLA-_paS}5yHaGyTOjb6{aH6p#WTQTRXwl zugR3ID8AkdI$YcdUBa__)3akSk>6o##(5hHj2Z*6^&m;r(9e#yh~%eAo7*&(N5fSY zxPc(8ynCJQd!4!jY&UXmfT)4ot-|K*L+qtW-ZqcnJz4;k9_&Hy@_w32kmPRpe(}z< z>tTuQriAR+o4s4}E0)vOC#^VKcqb-rVMV#k zIWr)I#{$TK*dA;65TJBVi}`G=be4*V^(7y~*YjMT_Y8M=U9Pm3r1b0u+pdB^YG5xv zF<%?MUj53us`z@*;P8)=rH|kzXngbEBk7LJ83n~aoDC@PEc$zgA4W>->{QX-Z{TXhd3nNg!w-P*Yrh(d*^OzA}n z9RX^H%ECbh_LcHQLNhy#;<2fVWm4G8qvlLz!j(B?6`qn$`l~=Ss_RU@nCI#w`cz5e zxS4w!@V?fX^M7K%Z27)FnW8H*t1puxsRKE_Ajx{wC&**}e)PY)@R9fyo-kWNvEQd|S&J(vwRL(3q%tbbXPAdIA48~VW zTDWQ-SShaWllj%(+ta-FweFy+>6IzIcO(Hh{tIk*CSf3|0Hl$OD%nXCg&rKm-Yp7; zR*poIFU~nA>U<_NhA=+akMsIE^#uXmW<~H=0|exyK5Pc&zFieMr%R6#n3FqSNh zQ4BUy^Aa^CGMsR9A`^I86cY)FV|Zkw7*}puq@sGZh#9#Pb~FYmJLM9Q{N;Pa#l?KC z!oZ9G=z&5oui_I?KH&j^AYu)|007w%NO=^uW_bP^x?pmVcw;iw!aj*#6Te=}N`k7~ zh?$$#uy;+Zif(J>eUVOY$LD26%(awnR=qFt4de~;?z#@YX&+Yequ***M3Z#!Rh$X% zJoGF(Gn*@<^As=|9Zt{j^?V~`c^2G@1h4dt9`*^A{c991^h{E^6Y4I|cL(){2HaXanJk28+7pmdXO%a6Q()IZ+Yh}3{>bIO> z@Px%Ne&}rlNdrvU6@@;E%Ur2h?o0dQ+tyubr({kmoJ zjJ=|qowidicGMmFmfci-hjPxMAOM?q!;@&ojZT)N*OVr=9bnAh$gzh&h}WJ3YYOWl zB~_ZQ^C*2Caic)|ob9Cv`lhy1vN=u1)z68Wf42$i<^t9YtIgHUOU&IQA7yA5gfS;M zg-8e2y?D~D;?ywpuV>RtJFYiy9#L+VvItBb#_NUecM9Gu*6%j^Foc}8(b+c2ck9SK zk4OJ-zeW6$g;t#{L}e7}<1%=Mh^oC=t^I?luR$O%@4f@rn?%Tg?-&+I;5 z+c&RB%DXSF9oL+szYRS>PKzWLyl7zKh#gorC;zEMl}!n3@OfH>7drd0>&;FT@cpK(YH zZ$A~^aRiks)e>|_oGlhJ+=#LOcS2HVR8J-5>$nN=`jaH@ph~PuwETxNPbq-|tT@-Z zaeVVR9$^I4c#i@w2+d1coK7_%95-)z+_UBQlW1a6u^BDvml2|<{lu(2GwPV24}xK; zalU8KL?BIKg?*E1-}fC#A2~z7n{?5Y%SM0XuzuLN3s~dk~2b3OYfzjwUj?j zQK!RUud*}$_`yq_crcNE2}Ea5}| z!p*-d;^DxRgSlPGbB?Sy5#ge;Ctvzy>R8s#T_rU$x{S6)J0XZ@?tA(dF)`8?CMdhUi9hL+~SIDEwsO?MK27)J!6=P=q>c2N}N$lIG z#OV|kD_T}mx-tp(wJFYxAXRD7uIT)d&G^)>QR`B2s@MHe+(>3s9cWjnR)8{Ju9{M8 zHxQxAACb{U*Ia8D(~rku1kb%(4Ric5X6ycdGTb$KS4XLCtAwnJ*H@^)9HC)n{TDg~ zSI>wAMuGyt6i|%}8rzCx9dnrHvU#doLKeKKWfkA-CfNg5DJ!cGu!jzrP#8Noz8@r{ zk(l*7(OlNgO6k@<6XicwYJbn-g!sBJQZCZ5OY7)0VynlEWrRxA+XvYBz5a2dxh-R! z!BIl@?^y_Uw7_|-6RW8KAd8?gnXqR7`+L%f0zt;S{)HQkwc*pCN9J41mFQjjrjmgL zI`M&1xZs-cE`ARHI1F)I%i4NvOYXgUqYvR^5sO!S8VF6fj{fcSfxF%q{mbNatk<|H zc_T1Sox(ZW2xCD(Ti@1?YZO;^ahX znLFw-wNB7Qp?r00WrfP9bp4{WjB%xbPto(yslrmNQ8mSUkmLk6t`${TH-75T2n`q@jr zbogg4b_OuRb`iG_4WIf5gnB|%UyIheCVd}#*9L+f+YY-a)CCV|(YuM=v*X6?~1pB`9WnLq?93kMX)0k!@Zc~r=9-q`uEz5B{k_!cD6B;7M^ zDugB8Jqi`ZU;8?z!=9B7U@nIOpnS_Foj~6-5cq2r|JUr@-kROcV-Wj@l?V(qMA%8h zsqizXUPQJh2ri!GZn)QaS%kc)9rs@^Gs#!VCIPBwG#WH9PLe*(etMu$bgIu6Fn?FZ zZ4d03zqcAB+9}q1cq;nkU+Wl!m>`XqZz2@AJdP(Yi9wtbSo%eIqx+;-MEC^;D%B(ideLOF`y*9D zP#B;93N&P^wln7bbJKw@B)zJ0eAQw9&)+DV5C427SysG|)Ud>W7@k%k42 z4+o1&C)5u~^$z*zNkp-HcDWmf$Ccq}M~fMkj_N%b%Ti{#4$i=(*v%B<;r zoI?4PR4r|ECRMWpC}fc>5|Axs8J*IJkg<|2^OY@+mM!ZSi_RX&l8=h98_5Cx%EkQ+ z4Uw+@G$J7*+rTnb;)_%vFZZi>bd*9kZB4dDi#hL~?9XWFAK)Ji<6}hva!tx|-668g z#c03hM)!B?Dl_HUU4`1J$D*d?hSmUGb5Y&d<1$F&BZTs?A#wx>a&_|Kc4%YmxIc#G z#)e(7M*qo;C8LdtOHY8CYUMwId?gzQCpuUZf_W9X za;wGQHN7$R5VVau$xX20SK=Yc?AV=8lNhp-O>+vv(hNB)<5k`hN6`vlcH<}Fqr3fz z6?2NewE8NH{7YZmL*eh=qp-J(o;3}x#DX8r3 zz@Z4^Azg_x_J4p|pT5FX#QdcML7#yqRk$5nd9QXAA1uu4zm}0p7Nzge3Q|LIE`813i4~1=Am7O;7 zo~obIezsRso>4;FU_9Xy-VC$--~9Lx-196PJQ}GUdbo7Kk@6Y-7^Ok9iGh&0j{d>fD`k!lYFf;CYo@MFGFL{C_g}*{ZVo zYHwim{G}>QbJc8T)sLaGFUfP5@G9yP8XD^wn&?sTB7#XhaBu)9T)YYgIzS_X_ZuF! z(f!oN`&OX=jk`Gw;9h$kA(|$!zzP7$G!2?-Nh(=Q60+twGFDgpp<&Yb%{ND5M?k}A zK=HdWAoo@T59mou76QmIs-=sRiHOmPd~2v`nTB-=x9Lzv(sHISfD;Ct zxL0sA1xZI71R-Ev?PLY*6n*XFP63^_MMoBtKn=_gTg(*H$nX*{GX$`4g`Q9!*L`vtHvf}`#4yPP-?Ta2!oqOVhS zu2U)~IW|21*rR3hSBn{fjC!;*@U&FEtK%oIYHY8gJ-=Fnr`t`tDnP1TU^g(PyqZU` zWJw)~B&-#>u9Z976F;%gTQlGBS*MG2rSfXE`)!5ajBu1gFO4@zle#1RD8|ixF@6}w z)4nCY=I=4h&}0tA1fFisy6#x#+7$DelewnkDQ>9WADC6nLIQ7!y2@-#ie4S9&RVB_ zbozRIjs7^^TG{~Gw7EjN#K@k6L5Dulp@z=ny4qAu^vU_eDc;~n=*IrU+J(9Ho%zP7 z-)31&^tIdMO^M#|x7 z6lP@Kga(;3CPgq7zeiomXl9{+en??EXI*XoY(hM^^-7ESL2((yU<_8zDlBXpxUCn|m;w}Iztx&C z`tKP|>XX#&lXRK$b?xdYTGUUN8XA~uV;GKjf+7B3n_3IoQVR_31IY)INBCW#L9@c+ zeXXuNqj%HM_ydx`0}M?|n}q`-S0iV43!~ISPK$%@xrdsPsN>}aZkm?TEeG!J>IJ_{ z%@7Qie;p#YoBikDLLIE2?uWghmcBxY|EWfYAqNL&7FOXKM^fopaqm{~xmvLsRuS(q zk?$5Y6c!>IosquA`WyQwvquU3R)K@&LCpdw2WF}7Lur#6L3H27(vQQ~tTlv=9sDD* zH;gfvMj{8T93`#)pxYF5SriJH7Bw3+N!#ddSVLQFWc*Kx5G-ACqbo{JGKDP6yToeP zENUMJLkCZs!)(0`j$GJIZE9`QA5Q8dPkvo&l{i@Eby@c!*km-@cEnnC;-6L?*>*eF z5_#L!r=I%8o<7yswqG1IZXD$LYY$FZ4CSWu=bqM=o^>u9j0 zp3l9zuB%&09C4}|x2YY{9*f)4yObI1VJ2>2jEhlP$AN?JlVjZ6b%K*x= zyM-aFyqrfTS*KPPcLt8Pxs=nX4ySBRGpT3e@s99mj=n^I2PgF4rQpxw5?S0|_k${sBU$5jX=|L)2ahMi9DZ*&febIr-jK03 zzmr{l7w@5$iGa>=K$lkFhTXcaH|*myn_{nfV|7NazB6rJr$mAGN*mQ;ElKh) z=pLzhG|gdjSHx4%OkZzdeYuCQ$pm%+(ozeDsOIaLw&;&_H=n{!J|o6)lV@{$-Q`Sk z!7QWat8*dmzMZ*nzNw86B$uR*yXkSi`_zmk%I-R*9KweTMILrePzHygLV@{Emb#|w zx72+hS3utNZEfP+p z)<01QTi%luMvGawTL!pW1-Os(stCq%oUI(p9CL1f|@7QjT0wuC#G?qY>_| zaSs`!QOsM*@t(i)tUNlg_UX{9eY!n-=@VQxA1!`s{cg!hfIxq{Axj9WCgj5j41@ZJ zJ)MppFxhX9TL7@gJkO{)&mVc7=Jf6xvDOxc94akWnN$N%*U>tTrp83ra=Yd-UW4FuYgB;0_4;Hs8Jc%Ho(hx z^QKhsA*=2sYRU_h-DC5@GcWwXI#2gs*F%EQGsw!D_xod5-g7m9VwK}7YL7RAp$}6V znpn9{d-rQQdq{hnn__RU4rb)M30f*UR8Y7hei}}56~v4L#gnA?75D1l?o$>18nfu> zQWh;b>^rgPJGuF9to{zrAQaT50=6-ixLmW?1d{wTpFtTC!Xz>P5$^*$(3yiP1Mu>D9-;l?mcn^w7>`5;{9)j z1?+y_5A55{DCMWisWTu}Wl9 zSadUek=2UFGnm=8#w%Rtr?NlW$AZ08859aB0#GDS)GHK9KT?X)Fu2)>lxx_w#3vt zmYK-wR!nZYJv>V53LrA2vd94c9*uO-FG{w<5XiLBg2*t2Ny4Ec2j4=l=`;&|U|3@nMRRHfQi{_jhMC6F z48og42*jip#*bwT7X>%X4~8eoaV^s%v5QtHJE^Ta#m82ESl*5oS9~mr_-4|&5A!w} z)TBv_Urw;d^j#__&a`hH8KUqN*De#$WlWYz!AP*qNjJ5K+_5!yz%9-QHzBZ6iArqN z&2|(esvvb=K<>3b)=%HggLfEZER5umVu<&9dA9b>;g(=>Ol)|eD^c0$)eueCDyXQ) zbw)m^X{n{Jw5fcswyK5ZK5JDCb!FOV_QH*oTNk{Xs5O@ROWXfy7u8z*S;Mqi^LsOh zxVB|CQMa}g!+z|fb(8DVE`3R;1ln;st6SH3LpL1J^?I{f*Zqo8Rn-H+L3Pw^pH~Sd zMgEw5^#}c9NA2%(9o@oS$Mvl5gU|1)--mz%@>dlEk6P8HkfLm7Qfv=7PS}W47fI6K z$G>Aghj>5&=k?T=9+Z_VmRcRxb!hezqwmkEysQRMrr z%XT<1#-l@&vT@ZS{#T6WHT(6N?;GB?W4||(Z}aI4<-A?We)7+u9-G_Rh4wlM&~O zJ6-M%I$XcAt~ODX1jN-5hB72czWezdPVvyb-8Fveeq65UR)n4Z^}_6ey}Lxf;sM`i zsGx9je{LACQhz4X`rS5?@2`FP_%y)of*L~h&`i(JJZ};3a+)VbHq9%K2cbT+C4*o5 z_NV@flfhh3&Wp39NYC+w_WD>pLibQ_m>CciMI{8ou~@j)?L4$trT~SKP{i+-vd>vN zIY=R$b$FOEN;R7bugtR#C86G5u6oNmB7&Woj5Bf#rx1<$Q1st?X_QU%4qn|X`B1`7 zc?o@1V(n^3l({a1yDI0AiET)jF*bL%Q5$32;KEQJ-xs+`h6vtsr6=KsnD%@aod|8AoG= zl5r8+t}DDVUdqNcE?N1(Xe3NFGe1o33V#I(18<;+aMJm?I1ma!bX6$go(O8@vO+bI z4zqZob4Fycm3VlB>`XbA<#@I=&lKa3s}Nn0=mdiqTQXuWgaZrZ3jn?i4j@6;j{L@q@MU z0f@^WK&uYF|~k01gPD0x&b|q3BM7@DU)uVEHW|Vk8(~_L;M4 zP`z|K5Ns`HyYjcNxv6IDSc9|;*98A>ijwa*v5oEO>dr&6bxOYurfQ)6N#M`eP&=^} z0N}>Vy)g&=n@B5?=4>%{+pNC5ZTE{_bu(sm1FfyS^XdAU&>q(?zX9#a%R$f}Be?{jBw@3m%bnASe)3&uEpXrAOktN~9S8DB%WU z0@9Iy1+tOM@+qzPpUt)Mf;KV5M7v2YtOIIZH(@mm?qTuQa6fdc0DBXG6o(N$=s9)HwwY4@24 z7!o2tNB{u1Tv(>FW6EFkSEb~JgKn~~A>H4{5mPs|WKxEGi`u18?}s2G92E;$^_>#U z6{jTl-Gk#&&;F&Hk0`)uE7;@$r(yc15@!2jSr9iC0^|o+wlX4cGHUv};&ed~>LE6@ z*PMUgd5(s9mR#SmH1rx)dm&)~zOfz0h$YQqj5ow%uN%3>G(U=RfAqX5?TQ(7SesUHytW07An;r^6kY^V3vBBH?0|bO3rK(=Uz<)3auvZezyFM- z?y#dl_Gg`Qf1koQ72Xj{j3pE+e9FHFpG6rqY<+)!*e#yt?J;(^jappxt6}5SEZw@z z0|_1pBeF==qHl}Xwr>`vdPRu&+u?Yum4bdhB~wy|R+$Q(>P+z&W8Fxm3-QgX^L+Yi zO?K6|`ETC~>-S%3{q&kXzf=9M!yV5wCqG|9j}^YXw0zH1#=Z4hj*H~quEWq$8bwMr z`gSlWrTfslxOSP4_F)(_bz3FAeF9Ti5;)|)d}aW+r3N zmTJAMuU0rHxq4o8AzR56MB*k;+8kVcyiUb*s$UZFMH5AM9NiQ!0-=b`7U`eQI{J;9 zcX^LU1-#S|@NPx2dk(P}K11z~tHJh<#Xg3gD#LvrDyFPVF_lEI%^I>^r?$~f%5CNCM2##s%KfHa}0*M-dWhu-!jNrMpz`2H2tU32JhVK%j zk*pGy5nD)!Mv_m4@*Kh_m0KtcMyQqf$>)PO!&_*xM(DE?2(__@-df9U6fdEqC!Zyd zQ7Dmfw`5wju&5}}7Q)cEU!Kd>e7BSunOYB`Oo8*{5y7 z(JdUdkgbPB@L@0TfOj%YP z#`uHVD%0BpD+Q)k+tfD&NwUjJMr|b6Bk+bGq|jsjOjc=c z1goLk)!&w}qsD50&GNJv@tVMYx!L7_O9jY-^`14zd?omEH~1Be1>QFV983hGjCdyD zg_`q)38%5%^6cRe2lB30v zTzY9LLHN~pB0&;PG!R<4P}&D_I=FlmvH@9l1aZ|Mxh^w~g)nU1eKk>Ybx~R)6%kCz z5cqmiQKKwn(KHzYDhd;FmD&&$2V*%Vb5br^GwFRD*%FYXXr=-+io zCt2Uv=q%e{8_G7+W)~%Lss~~eA~ux=HVp?hWMn(mfjgvh+>^8dxqG6eH28_7vodr# z4YLj;B2FlWPS}S|VYx>GCR*GFDu8`l=Y5u_ed#?~!IV<*+)^=IOLzRTi+$uVdwkQ< z0!u!6Pm4n5$~^}JEk^@OF)K?S1p3s0zXFV4Lj@Vkd3s?+{B^G~5rIS5PnN6?^mCzf z*7BBSvIpK=Ay^DYL0neBTt|{_b5fznqDabA$|8VdTmV2BaKB(0Z#b5*X+dRi#dzQu zWC4ge@JcKR%%u%t3km*H9?X_*NSh)?2oO?%^G=Y1)(!+9tS0>0_Qthx+bR0NBpyvw z5hMudcB|3&};wbo$Tg(+i|Au}-yNOvM*T^FB@sI!;^A^%n|pBJDT*42Ew? z6Hx||?TN%d(lV`${=IFzOO)kgmc8yD%dF9DFs?g2CuL!ao(XA5a74*;Avap-YP}^5xQ6@I zm3o6G<@d+>?-uqUHnm|V(cDYHoc%zv5>e$qUA*P&KPM$O47qId#pgz)RHrqfgAnP{ zCRN*Cs#Vc5OCfZBV$SECNkj1U0?Ez-)e|bJ!d8FkR8|XB&CZ`7iXP@-OWJFlcId#E zeQh#)fKUY@NHJ9kuwMzhi_fM??T*lUJ_;2%37C$j((hxj3}3KxgxSrGvdrCB_br^2E+9;s*pI+1fC&LC z2jz=IX1%oo#qQN@rOY*|=gUH8^A@br2%7k4fbR-gVs`tjY&DZiXE_Lr^ZP7QMAo8B zHLD1kR004n&7U={{&WnMiOO>ku3}T}sz^RN;Kkrb6m;L%wgpJwCaIlPHF?rmINYdG4=ePcINtOg; zNAZI{u^q2eK8cc@UX$H^CqLy>efds-db3FtLQLF1+;{!h7UDholZySP5t1{_EhmMX zGcC@Ih^sK2?G2sF4IO>M1RFec5k13K4w`QbG-@}Dn9e#vlJxD)^Z_@wU11D$N0*gR zOj6EFyUyf>4I&*k?3T_fS?Au<4JvSq_)`OHhz)Gax8#itrk=u|j)cBEEU;OZ=5a><< z&g;F)*gLk=CeYVVrSL|LBo|FPH$Bw*1w~Q56120QyA9pbNwvEjX-VbQ>*J@(Tikq&CuM*~n=?4l|cCKQAFOu36}DiQv7nc z>HE};JCCb}A(JD|2fqMLvt$qd(?|bH4}0an?jW-r3}Ju(bf8Pk_dUaumt3^?>Vxbr z_CGu_V;+8Ac|rpo^A^JV4FLgZJc>si_FBSt>cUWFaXc^-{|E?%^yqw7Z*IVaB!xiu zTd0eSLW=G~;xhfza$@UP{attw>^#E}y}WJ_!al?Lod`o{08oq%c&g7f#TyT56pxfl zJogJO6t81U!N18Zzwnwin?{T}aB_nJf={#D+qmPUyz!-Cim&GPi$;H2)#8ik zUYo{UTis<_YlK$;+@eUjji}j+h~57&cUMhubzQ@#yP<)`8@E7k_dp=Hy9WsF?vmir zxNGnL!QI{62_7`KL(t&<_5HlH|HG~tr)!?9Rkh|Ea!o#(uY5EJt1C3Qywd z-r{=vO-TF|j_nm2d^P_3jqdGLVeKuc?TvB#RmJTM)%@*0pW4FTQd=mMGf4TxGFwFp zT1)Fbjhpd{Uq6XGw~K)U#LxtKo7-DcAA9qk+Mn9{_$7MZg9hkY`)&FA;RObHItK5i z3YkEOp92#=dn>9)9$+{c50Omd4dB%9N%NUUSQI*F5`u>- zB0vO)wnV@K^hirfIsN9+qz(juMF3ybjRDe5HGXCg5dfqIsh1A{jdx!>WZ(5w1H)sD zA9N{hjV~aQCc7g>-`%evhLH3MkP#Ubf7=%?ML6jK~cLQ%2eO~?&_ zi(qHWYe`7V1LFKUS*{DCl9VLGu?O}P?n*GiA(|i?748jy5iW4i;!BF~QMCbPs#-Kq zd_f3UV*3!MWI9-@L=PBWOg)!_Oe5G+hZF~df79?c@a0pR3I-7K=zJ?j(G=qQ}4htL-fmr-_2qg!!fsJ8?atMex5Rc7BMu=9$R?A+-LLgl+H_5Nd=v*7D z!euAfNlyq%0x&L9VWNUYl&U4LX=>`aaFI6!0r~~d$xbpTbO`7+K-t}O%bO$1fogO* z#*7nbB+qSKAEO}0XpJSKNwsAI2Pae@Qy~D_Jnc)YC`acNh+w%@I!c^VAMA#sv2H~Y z`-56STZ#bXn7@6LpT_?`VIgEXy`b$r- zDeHk#mbXINZvKs8IGSb2=nVq@IhB=VxamG8*wQGQK*jWzgQhGPG~F~|I+vwXTYL!u zw40OG69kswfY=Y10$8#m>p`gS;GTC!%hm_sx&Snp4{WTjG51aWbQ89LKmcSDSkv!^ zTMZ6>PY##s$_#)uzy&VK(;VKRasl9&;|1B6!2lxwiUmu=oz1WWE)=Q8@zBRc_IsI5 zHl0_uEV9j$`_iL#T(IXQMGpUKZX887G5Is4^T$iY9P38cO?X(I6Im%f5U*hqfg?>6 z-61}R^m-FXlu!&SHa?h!YYSO5O$@IpK7{4#7OF9!IMHN$D0jmax^tR1=~;Z3;Pn<} z0HFj0MnbqG*EUu{ngk7NLWJViZJb;}Nd~2aNR5VVJZVD6e~<^-|4$$f6F4YC<#3}t zgDl~+vqK+D^pNR*Gn$eB;PduZYPy+QRA=kR0DNkpeh;ps|V{TaIT?8aX6srnf@0q zm71hq+S@d6yL@)F<-PKNX;W%BfgWsZIi(0UTIMTuIZaE-%=V9;Kgw+u2DSyRK6enL zGH8roXM4*bBx+D%J1`jZyAXhwbHni&;n;+*--+pz2+Pr9@MO6Vr0SJ~&l9oRF^Vl; zyd4i#;Z~NYW(5IaDWQaic+>#G4$|)y8YB{U&S9+ATRJ|!A(bx^>Qz|K2GFe7AP0lr zd7_@)i6!J2{TCY|?46K@&|@RSYl1jtYf5^=2baSD2iPM%WHJ$iqLbty@}xBCW+iB2 z$}w=4IW}<9BM@410M=3vEt2K{GRR24N0x+Ub~ghIS1b=V6A0A1`T&qQln)@%WSEyg zhSPE+569jXxi<-6F%nBcP$i4v<6%GE8;gLi#o0xp8e1xr5*W%bhbrB~i^gC@<6jh# zQ3oU0Yaq(DM`ntcB=LO|;xKSUUB#~uNkst}k-P8aA)x*))ow!qTyD=`Q7pZ+2II2o zT_wa*&B=6Qgeqcw_l%}w(M}RgR&xRJZHj=6B3QJp^NKn4coEzYSnNdkD}BtJPN)N- z47fO(sAX8O21J6vI1v=%zoX+Lik&#Gybekw0Ak{5-yH%_6SU>mi8;$lu!1w5wmwTY z8|6jYKoVV$|GfOu&JdN&`y9azojL>8HQ~`q1^#3Bejy9#hj2R8iOXzF zk)f{1fvu}fj}4*n_PC=^D5?=t(|0sv)#ONImZ5nE>T3T-jm^&z9t$D@-~nBYlp_bi zxa5%C{j4zew{X)CUHIMCFw**F=`ND;<>zG=$dkAW$(ZBYeyNFhnN^U9nlzIHcBGPL zi5`nGYD8%G%`_l#pe0gsq|XtO$A<=#eL@z~?Sk|;LsViZT@U7~CS9eQA9XDiBq$|$ zFUaNisEXYh76SAx$O$x;UBf=JfN%yRIGfIt5ko5jz~sgpC;%|>b`F@_L5Z63T!+;d zfvIq`=DuTz(YK)%pt6age&{?RrCImAwjr^1mCh4sd*g?*{F`NrdS)t?0Dvt>`xlBq zw0&ifp6A0KFIaFKwVa+_aO?l=aTguA+05*?C>$f>qn;1e}opMfPpV2Qi%4 zF8H47L2M1vk8G1DFts8V3ta11N9hAt^QSSfvR`NN3{7*)1)|=Pe=$FZVDPh!dbDlNhmP%I{ z%E2g*o{S(B>;FL>h`FoTo3tu9Brk_D%5Ag#fk>#p74kGK8esOoWPgt5k=B%#MuSm6 zJvw(Bumnnm_F3ZMSX8-uwryqcHL3W`WArUK3#c>B()8!$Ot3VV`j#~!um12ae5-`5 z@%~D&e9nT0a>q7*AasaF2#D;|u|vW3Frk9j5(6hN)e>GJvm~2<2XRoOR(_oQ(RE3I zQ+@np>Tw~8=cX#I^RF@6(@OXHZA-DrnZ5GUT7B1Dm!aTAkiYkKv)}!Ibk})ux6jV| zjfd{At_wD}hhyEh#|3E->ic!~Mw_mbOeE;r!Kgmv%-rtvA&=mdYq#I6yy4C1u>H$ZiL81r# zr+X-v0kBjMbiyH(hmi%~ND1DUe65&;`;d04sNdl+txNud9#{i}(P-?^TmPqf0N7x< zhbslZzr@|=3-XkfSI|;SeQHb#VN6F$OzcQpW=Y)2VO)p@){a&@qGvo(1g@qj1jopa z_nYUHjMoh~{y`?8%_?EtD()>TfrKGG&m+cECLa7L5!n+L2r#Vsr-THI^QMc#(heXd z^5rNEc*pRa+xk1%8$%S2?DtO$F;Z4o)I>=;;kY0b9j$3c#LGnX*6;6mzblR=eF7)O zFMWR+iBTa+*7S_T-vS^V0Sv6;4Tw@Optzx;K%ICb&m4qcb9I#5q>_Uq8kuAuL-PCd z8akMp}GtyP@**BbX=_(xuje+^sN*ydxDF0LX2lZTzbM6>qy^+xCGC* zJ9n(W)^w9r++=bdzh+3}XqtQJ_wUH5TBE6DpOTX!QY)4-3QN*6N7E}xk_wQ22u1wR zXw68`&S)L|QRJCUdi3L;I~KZA=16+xSbApTLt-;>X0L3fD{>ZWD)x8lkA?KC&e9(p zmYL%ZS!2tYSZ@!RD@PfBJhNgMvW`Zx{%U8>jAqA|CgTCKuRSxjKgI2OW}j(iJz8hK zK4c#*XTLoBgf(OjT4UYF{=9pLez4A&Bg(l%{+Y;-$y=I@W0On3m|K64h1`~jx)OQwD}RqYd3n(|gUTU90=S5}Xe zr7%_p$yIbbR@M<$eTL~C)77t!)qtn!;|!k@zOXyu>g&kTp2(U$SQ|HA1u|;rqg>%L zaSc9djcNiN)2MINb|Hd%0n$@BDpTD`WHrrr4d&k(D%9Fhp4ulbECQ1H7h=467f8z6 zA|ZZ!`TM_B8D5pkk5x?Nb;76(bn)os?{Z*YsM)77mu zwQADvf&m{bf&4AO{4J^KX2*L?WbO47<8}Jujo#%o2_(%@{LSvVO@2?MP~DbH`4(9q zut%dF?Xqc3t~FV{DW$yG!@IS#ysgr^&6D3dy}T8FrnQNr1*Ut1lW=Y$(nLiy#-KKp z@OMAw zK_J?BDBroz?z7Y$`DeTteZ13lL;0uWsb2ZQJgT?$Pq@ z5#64fsO}x64rFGZ`Y0Ii(Tl6si?7#%M&3YS*A+oG8fG$+E-}Pcm1bF`ngB8V&JyD zS!#9Q!KR6@7fxMoP}64+M_~|^!~L8yC~{WNCBWm8=s@h_09y2bO7xIrM+YlfzkGC` z1DgK_JFG8y!*0Lem>G~&|3NRPhu~+}E^x`>Cd*(3Q-pF1U1P9_&$!dcuZicO88rXa)hOH< zxTVaAl@3@8a*n7?Skblf#Z({bDXZ{IeKCbnqZhfY1qxHByY$!5G12=b#(N3EctkH{CObzB*n-B>t1i>KC{II ztx-8|AM?9fdeKiC%j0FqC`Fpz37o3u8>eo4D>vO)jP1@lZk3k>-9)3NraYweGWb7BxTfMXl-1N~2}U~BN{ z3h%@cyfs!g=~{PX{2~_}z-TonYjx~prLJ?{^)2R4n;zDz;Cg!uF0UozDq!tb5` zY?JTOIr_$#;KskK-@^y1N#_;xevhmzuljc9#{6t0#p0OW#CY9= zyl%pE&EDv5o!W0)DsHY-t`&xF)LLUD*?H-Ma2v+O(g*;n?9c*kSSA`82u3=exT0vdt!kCC0ifk-a7Lx{MIJ zlQS_d%sPd`0k60IALL=+H)0~R&jQ@Hz}Q!1^+~VUw_D$bK_0eMJF&IIyQ<)Q zusCZDeAW;A)(@;P{GEgjgIEu2GUvkHg!V`bDo@)Zy>Uo(^taMp zr)B&OV`8zmATXHYxIpOmyAnl8_VEv;t&FO}D2Kh8$0GvO;|7D{VkP8Khof?(dHSxu znlXpzRoitASd9iJxqg3J4UW2Em%euG2)v#!c1`yiU~#LQF8G};`JIkrpM;zp(_x%s zt{-g)rOzp0E&H7w)xOn<udse#acs&z8|F;u6 zhyNanyZf53IzGTz0EfB{)Vn~Bd5yt#-5q=L%i#cVC?fx7eL@d-YMXj$KYx0{c$RxTtv0-l z#(2c8gk6En=r@&kJW5xI=5E_i$)vfruLhd2mqCL{Ufv z;%d84%6_L+EqXUvw=0*5XFMbz`(an%2ZF2GfOS3H#7_hpGjV?^z2Q`j0-B zsOAcBiEM2G7?G<%TD&=tqOyP*b{gHL6Qyjj`7-q5I+pQfhMh7A@7k)hcD}1g-&UUL z^>!a=S{l72W^u9zJT{AtmPG22L`I4V5c#+$G6dTM$ZiAx2_oJBMqDov=le@Fsx8)5 zZfuuo&8Ld=|J=UWueM_H?5{1s0X6~5byGFx@`Yi*!fnD28y@Z!7pTU3VddzIS!ek4}YxRr93xcS{2IvpR=l7-RddoL}#B zoEm1)_+onJ$yco<$OiMBIw0P^oTN!z^LE9lw{Wogd-SfhWa;yhIOWPz@K<%V>G{ZO*BfTkU=WJ*vO&z!I3Pt zBUFI^vHUmKsC5G*oSgl$El!mz1NYUhg1`#(D#ardv`Ol{-|_r(=Unq)g%yMV0K83y z1RU@S4EG>L|3BP=N=zc4t@$4E6j1Zt=&*T{S;fm7oBJ!VVQEmI&RGe6gO^Z~=T{bR*VFBj zV|TYh3<@0kr;%NJs_%C871j1D)+MG@-Y%mt9VF*NfA>7NDfsT5U8jW!IvNEUGSM#U zIX67cOm(|>TrwHrI$eIUIyzdnxqoH(x-R~{lUtU$MgsGaUOUp09k1O`WozI!tsHT38f1A7g&h+Ia zq5{?8_;s%@!#yXS-UCo!C{=HW*ZBvdXH6gW}=dMZ^|LzusDwr0JRykCNXcINe zL*gEJMv?nhPS?AV3=Rp^$j=4axc=e!=_pm>w^DL%`rjMIhd`L$gUm8)PZ!R$B=1CaWf3ukTK8tHkvc~yK z4gYh1!t^p3;V~?8#|%jleUwhNc%m$yB2-U`Rk*| zzXzwRtAq37YPV1{i%_oR(3Ry`Jwo{Wh;%ViG@oS8O8S$W$|CPI4cPZUjA(4sYy0YF zYh4*}Nscyk}->8dK4Y!H8 zBs9uC7aprSuaIY*g%n?8nu#eg{tpQs6S|{}HdfWpVI&e2{RYo+7+7D&3b&oex zR)Q7){d}!y#@n)lmOzAx3%Yy;R_oZc8UDX= zt^{~yfJ2N2(NJGPPndVDqN2{ID0KB@hHeX%eGME%Bh*(}=MAlIs^#?Z5kYiXy{MY( zUT+dmmUkdbc=l|EIm->3uBNs}b9#Smi!D_6!S;dOlQjY6Jopboo$*obf7o~R;mW1^rh?X!i{e)c~4 zC&zg8sW(b-@^;*$-J$4qTK#FmdKMpk5KY)=(c!Hs(C-eoGw9q-YTDZAGn;Y_n|0Vj zyY=eX+i53)XsAELA}fBU6>`)@iI?SZ-EG0n^lTxaOo?qrhu(8t!i&ms!lsqgs|PEE+p}w~2Wq^tN$| z?*|V42nV%*KfD=)Q^VyT5F&^GKskU`eqWcQV!ge93XgH7GrcXyFz<*ehB!TdLC&aG zRa>jBMwsy2f%U0d?0|J9;6aMupJ%(Weav_k*=5wYfJhSIv{(tuPa`$s3T3*RA|boh z#1uS{eE&2PGtj|KRnP5fGbWxe?v z3U4e_xZqV(flkt-w}CChJs^ci!43DOHQ)xvQWzWV?)TT{G>e$`t8aey!|z|2{AKPH zGoJ?t3?C%9yA)=H{ibZtA4o(V@`b}{gxULrx8+-I;Jco$y8GdK++5M&Dn#x+^mttI zU5dB7dWj%%2}8b$51@4S^okUB<&+16D=X5M+c-wub68i{P6+3L-;00{Pj;anZQ7xjD(7w z1lca~V!VV#(!e(u2%-WJCBhYsuKT>o!adN-cs-zE*3bJ}5}YZ{tj@onB?*%|zHwH` z6ZXreLFEC^@wox6)gB!#34>>e_XSdhyU1!CQaG7XxVGr^l=LukTOJIZ3N6zBN6Vam*U6V8}d%Z zt3t}QLVA&XBq%uiTW0T@Taq;FFc)(&lIkJjF(BnmUE!@z7AY|j<ylVt$Jfm+h7h?&5vKB)OvBV+hA` zp}}G;?DCzf@(lvW6Z~>>rZFw=6#9M#w^B=}b8@s_4~4EKbowaNoyhAZ4dp#c^)f5` z;`&t~p7#!IDsCofb}rmXx29VOQBCdVH%gW!v~OzxWTjxi6u zw?jYhnVj%Z94Ar|-uabbC!5ow)HyIwxhpGW79$m|{E(^qn5lf2sdz*^B|A6Pp{iVO zro1Mh{Ld!lk$L*DL;37PYH3&QctH8@JLETJd4R_F8nx^^y9!#&)VDmqm~P~Q4$Gz8 zdqkEgNTu{l^mJ|J^y$~p#Ss-WNj3mElu-r}2K~gvtdudM+|AcA4U)$dl;7Kx-dB%N zX{WV<11RJG^a7xk&*BBS@}%g}uV^{%5!6nw&9-VIM}URs*W-L^Cg3 z%DK2I%_XyMHR`I&l?u3eF)V^=-{nE5TFEF>a|kyI*z~VH6HU}WV@J8A%)jE z;oy8pq)tL1!8z=Z5q-VSA4%1tnbj9cm~`P7kMmduIn=Z$q32gzT$LsC+@lQkJReym z$TdbN6k~$b-YLD5Dos>hTz|&${Y|Q>{Ju;RW`1KC0m5_K7*NI9S}9aw4HN+X}q6N zzbDlf5Y06^lA;_3`v5T`z`?RGTkvGd#|2#sKna}SJ-TEqzcf)eFDa?ryavPCg2Udz zkCDZi}60ATsIgXUL6?ZQK+v|u&2tKtf^KAPOA(rjR}r@iA%?c z&*0CbX@CQ!#UAs9BlHUBanB&(t>h#l7wPLZeOnQx(dkKwh|k~&1wb<7!;=a@)d+t; zM1R(wv>RAfqVZNeqII*4bYUBoX7iaZg3(GIdLuD;V@w$s0NTlgPy&| z-$Sa`&!QKJw>GQsXFzdnko%93M$D-1+Nf^_Q$)vKh<4)Oa*dYQ&*a4h?!jU~-M4(j zwE=y7*_*XyU-Tu#^$xGikEcotgd4W#YmbeFW`knS z_J7U=*Z*px1B6CF7J5M1wFKVH#`%r)WTTwM>EBkHkv>Ln4(jkln}v;=r&${jjiYbA zP2cL^kO@(lYe4W@ox%4in5+h97^|<`TR$LMSXEmu^FJ0gH%0%0KLFJb01pmSO94!B zvxT}~{7z^KO%s_+Q;&|-Smfo)!X}7yfBWvxMCsl{NsA7y1#SDN8TJLe(G^zTPi!&2 z8i6sQ8I^RfQ#N>-wxXQS+1E{l5O)L`Fn$Nr3b1URyvT`nZF~}1;d3*6P2TR&ixG-7 z6Aq&VbyRDIeVfp2+x2a`eN#~7o;SDo?QX17tdYy@9$nL~c@GeKlcns?!B-&( zU5vfYw`Nw^o2uCs(4u{))ZXu&1K0gvX^&uEj6J{CEhVAVw*dSDSV2)*GbZ$GJ9OQO z^~@^X?=Uy!(DT*Ob7(uzB#P$;Yo-D1Dsdy|tiHJ*vC0Ea65?e?3Zf z(9R{Z$+M8l5wc0hwoH_=mgBW4cCZ2_$`)l?*$P=VnZ*>R92E?07g`)tNZHr}r80-i zvki=5UXOF!j658U68EthUXMy>#~g)rYY|ZvJ^se7+wh;+SPuP7i?yvqG;G5^;p9W> zcC*URv@DA~_|AJ0kMZ|P+wOaljpfI`!MC=ZZl+xpM}bZ!u#pgq#FL4xLzgPcUrKg< z1_xcYc43I8_C%+FvG!y8CyTr%zbvemQci~~?0aJE-hQy!jv83}6tcIfn?tGr$wL7` z1$)0S9Gds-7s*mqt89)f?EV%V)DPKG!n_YFDVXjK}Lold{nN4PmGYJm_8oe&+J5U0dB z6o0coIYU}n-Y}f5H6ws=4hrdKe?OjMBAF~WIbpkBd?SVe7-9pLf)vz;lVi^z2eIgu zjz?~efUt9t)bm9vCy7I633_LQ4HdURP%TF|%k(Y>jaeVr2+>B)ExtX;)TMv}`ul1Z zrfwGrEtvNK*klLnufVMd_WZkb0){ydpI^Mu4?CkFU7~%NnD24nt#(PpbF6Q1;_kj$ zyS0P!cY$~O%Ox$z7(hs>7m9`ImbtQ$V5C2YkyN=q< z7J0(HGShu!5dJF1<|=q_@qxlsRr*5Y?kkfcx}-=FAPvB`c>d!*>;qss*u~zR!}0zb zR_)h<@3x9R|0*nQD_MT~WQh*00UeM7KJkME!vQQkf|kOWO!1u$3mE*1&O|(}bk)vM z=T}W`G2-;@uEOqLh20m(vx#Q{YY?;m7jYRh>GpA#odCBPR67$x7r$cN1sQj!@?E)k zB-8y$^pCp``ul#-eL-fMFn^Em;g~n*&wH1j+I8gbf+2tjbFd^}F6e*S$I_pB_tLwM z#iyMufMi3@6i3fgLr-2Gpc-aXyWCN{S^i|%=L(15bf;Fo7HmFER0 zRI@k8rWmxt7?ax^EEq2sG#zOBKjwobJEiOHrW@0z@%^)+@CBA!jF^@0qQCEwzwei@ zZ`uUt)P*30%?JG%xHno40GPhee~ z=oXz%IO}V%vR?zimw9r~1*ZSyd;d$i5<%W7`JPyLFaXYD1I_1B#n3DC_iK^#i{E=U ze?#0z;bX%*vwWJh>+pUYN9>dc2xIW1=^tX=oz(+FITcai6c<#I&7g;F2SmJCIrB6HXuUzdI^R4Z1~ zClrYj6$D~vChlse(G(DcWKipB+Q~N1&sRyxAJMM1SjbM2Y7^|P<=I>ve;aQq6D{TDBzJshUsgsm7jj6;X`3N$Szlb%j$MIa2 zn8xawc)k?`JLC=_WmuQB7G)^5A(LgQvnCY=m{@S6V4#*NU1 z{=Hj{XGvbSY@e`?OJwsJVtea<)~GXJ_{;EfuleY+Vn>?QGpIk5A{_H=(E( zoqH=@OdYZeHSGQ9{Le7S!-A7z5Kq^KV{p->onyFgj0D%_+i&Br5t=B4x=|V&J*Pe$ zw?A)}?GB;>SHG}LeXb^my`TS03Jm+K7&D*>ekEm!v%MJhAd4oLP~@@uFsW*}S~Yc~ zS;;jWiq+XTA{7s!p4rLJ8sTOBBH zH#z+DZq}z57vx&2ULo~Z_rPrC+3ly(e`lUilpj-S!> zWG4Sib3Y>8F57l@-u8YeK)T-wiW@9MW-(~r3I5Re+&{tpbM&OC{LSr#)!Uo!?!oo^ zO;8+mW5k~?eJ&mMh00!|#)ePScU@6f5ceyROdypE#q&{hpzG#_7|1C^!l@=mhyJGs z8BY2r8pH|v85xdrU+924-fJ#@<5Z6~^RKpwKcV^vyaEpsL@kdAC}23H)Y1fB6mQHF zt&eJa-!soLBV&Kqsv0ne3Br1(juKBJX7{Ec!)-U8!a zLf?s*il()~SUP*kzt0vyDjyViH9ufDckGMMYe3}f=Q2H?Y1mJf+e|cP6G!y++2K)? zwA&8ZPX(;_G4sR0|7jo4a8Xtu83ywIr+py*9$;h=;0h;2@>23SbB%kU-Vr|fuBMlZ zh{5X1pkRtJ*Dun8?b!nlq;!gxSI7y16b93f#Urs?BXW$3LMcHeApkpELyEV~GMTGZD(CF40ZeO@ zBDIWP;z^6j{l1lAb_QY>>WKp2OF@7-h$;}=gZ&*jmjRFI)7+ z{{FM1Vaj+tXLXOWx%C%%1vMgnJc`+8%zTzpYn(u200`U!pKfm-=O)+j@vwPc(9tQb ze0{niF}ZKA+&GiT@PJipH^S$Ie~f z>h1_-e2J}{3=&59*v0Bok)nli6|`In;%ht|w^y5f+`@*|e;sj-@(r!F`ZVfqlpDmeZym77E0HoWI55obA8F@(7u z&}a~OS$G`l-!X&9f3eK=2BJafDXY&e&ge0FW)73=`L8!6Y)n8($6f%U%-^!VpY(LQ z?|=BGG&)-Q+G-6ax44pC<&G=h8M!{qrIL!6Gra)=OzHlRPvdPCa0tG)lGa_D+y7Rn zUuW%3@S9z~#l5-P$XKD&0XtIA4%7uN(n~4u>s$)CpG4_AT)bn2DfhnW3T30uu4A9D+YZ6RTMJy1 zK~7`&ar}Ft%VyQ;o(NA{M=j~qS27C}C4au(`4~6jZiB0oDc4os1Tu5~E^LVo-}K`! zTOhNMwuUCat;|*3HkSL=gR~3O3|U--+j$rC?)YYPmF|R;^^RPA@+V^S-}ct8ox)SJ zJm_T|O*{DxNp5)eT~*0-v#oDi(h2MrIxWBHiaJ>i;vsq}$u6yz3#M zMX`#5J27Q@T9)3bTMmw{Q^Y*~p6Y&$S1oX8{OVrR{Cd+MEOgRMY7j7ebyX(ZdFEbi zzLA=B?ZZ}D73O%`N8bH3+H5E7p5{IBKI?g}n(L;~@nuAs_o=6v=B_jDd7SK%Y8N@$P!3ubIgP;P6l|Y88-kul0Dql> z`AQB!%*8CiwGjxwBBQ{jrNAyT+OB;wvie1iD`kvc^m8?2y-hXu^;g%b1>m zkdXq1asa(e0yoOlg5$!3NlZ#EtN(sMYY|IO!mdc}6%A-D`km1-=22c{CQ1)X{7B7c*_HLz!lIycm zlJZd+spK)L<e7B{h+IQZ*a0Xo4)-n&qRYOfbEr%9g&LNB!$ulu1*7p zXEb;(Nsdq@!7N9?YOzMQzD*KovdECf>OjG!hJf=mpU01i*KfysPZR*V)^`^OEHDK? zmQdt&3QsL|@Eb6R(wh$!*@Wh<`l zN)d-D8x$(Lt^R=VA84Age25e~fs^gz9#LcPgCJp+6^ zGu2*FYSB#H_ihr}vzyw1>s)1p4inUlM6?VmgX%WajJb&VLbUpUM$`>>VkrCkujb^4 z7Wi-mAGXQ49n$I5-pow42Td@HHSndd3yN&2Xl<)#!F~GX4i<7Iw4Y;54COW!zYPe| zQtGZ0=xR#XB3jx8l5Zza(4K)UEG*RXc8x+oL8H5lG5c~!7MQQJ;^aU#i()qiSdbl9 z2OJF2x*F^oE)+$7+Ou$>rPnMFH!-!=IS_jn;4?|*yFll=vVO{9YT0B=J6mKCYbhvZ zZtM_f{LezM>%bZ=)R(oym(j5BdexoOQiZzMbBNH(z(}HMFMyTShY=LySK?EqEiRZO zs(_zqHWT5ZZbeEKJeCrS4Gwv=TvGi3`d7SWeR!d2Nkwa=K^PGCN*|BN5I>uwxRqpp zA%R2#2ZO8t62Klr=lHL9QZEmyFWeMrLb?8|2hrOW*QE!R7zLS(ST`%NG=`iyC0b`LtS#RZ`nBJmDnx>eF2oxEFw<$`dAnVpT4?y1d>`JND=4$cKxjKISIQaXu$4PH z%ATeF;I?860XA8bH#w9yEiC$OrRLs3^6)_qIZN8AMIH=Hz$Tk4e98tn+s3iudap!d zr?>J>7p4q9t#FC~ns*GMDgnmY>1}O>UIz3H+bA8|N3VnBHSdNX0?Y$a6$4Ty@p$RB zG;oQs`1YSh@eX^*D)5T^CdycCvp$x`C^4nxRgA_;_Kn$AO#b}^92%HB8Hl9+flLUn zqp>G1*CG-T*Y3+dTOO&h?Hwv@U$>(BSX}?H0`~Wt6ROz4>ghfz9;YRpF*!``+P!FG z{#C|&i8lleu3U;`S<5*9NW>Rhs3n%)6Zeu$dR~%%NROu{JDxxl+sf_RA~lfC5v# zP-(uV)A3MHIsR!B=gHGBSIJ@B1O|kNxFu_eUF=Qwo%WJd^{LsOp21GoXQN)HM|rHvA2Y69BsSAu2EuZyZIRD0d697KE0dhlmvq&DunSgy`kxA`2U zb3(xd)sIzdPgT`_U^qzH-~Fb)myuO7jP}{HHivH3b`8~UP3N{v*8G~rFaOS87LK^pgOXn2%lrZ*Zw)qfn%yZB9lU=dviwTKNOIy zxlD0F_;~?Asy&@#L`^-r=&iwabO!5b-eXBP|1&=EVtYlY#i+K!Q@%`{H6bd#l*>T` z57fS!;vk*kcwzY|sb1>r=7BBhbnd)$r>AuCX9*wc!(}mGB)G>8)G7r}=$y>@O z%wNS5*o4=yMsYIGIVxXUE4<=U;vY&r)=}5jG1Iwn&eh2;{iBIFQvV9&QvSgGl z(WY+TWxH15`f5ssD4EJ7*-lCeV?uKNf(@??%&wsy3lZ3|q?ta*_{4;g}DBm?G zzcna(b4bwll}@D7j8rE(G<^J77d=^z7$>R7_JMKl8jA!`#gJR&kAY5v4Kyu7`~NX_ zS3zyIVY{%C5Fofq3#AkdTBK-kg1Z)XcM7FAfkKhu?(SB+xVu|%C|=x(TNdy4&o}e$ zubnmX?B83@%q{12oMZ2AO+KgzTgoe%8H@GG;~1)sTqvl4G?Z#IOzZVr;F>R7$Sg4( zxXk@?rB;WfTJV)x@IRfnf9fAOh2Qp~&@`C5=Qe%srXNfbdx3lN`ckR$QlOBFAB)>K zZeI5f;@J2Dw-ryrv8c!kSYW>++DQyMPy8&c)xd?%IaSTgTVy9?d(BMJ!1A_1G?3eo z-fc$_;Iw5v9--$n=%#AN=_#M9M_^!(GJ zzwrpAbNQF)^6RtiSGRX>QQUs=xS={>Pq=-f{8bS8%h|6MXG_9ki_<|V!GQ#Z^2h^6 zZG@w`gF9|~P;1OlIlZ_S+{JBuv%b1U)fr>*2I25RPGcc1zvNmZ0tP-LaW(D<-TFSn zxpKmSvTptUR3S(keUNJ8TyF!U=tKVf3=#k8kaR0%26&M~UVKdRAp+44e+)iy1xM8j zAR*i^W+Woszw!J>VROVAFVz$;cW12ZKY>qs{vRdMIm}GT<#+WzK78UxdTEn28mZ<6@Z@O(5{=bCH6-6_YCmXv@T$>;*J2FT zAfePrJ=Dd?)eE=Oz3s0)<*&DFQPuM@_Ws!5_0VuLQm85MlMEcHuMgfs#22B1iz~xv z0Dxq*zP7&)>PHX8w_e5o@6N4<4uV!=h=37gYdhIv=f4(p=;KRErmDze52tsxZfnP$ z=TFUf5hGC>lHL{^SgTrhtD0CF0cPK)*4|IBVI_h7n}?B}$6-#`NUis1*<;tA){%)v zu~~t!!`88X-eR}j6G&}S3rPcEIOgANMIW0*z+Pbm+|^`QQ%tbmIBioTZIjf!zg>Lh zbf4x;pXR)t7RX@pZ+jQhd=}z-x{`cE^PiS~3Zm4vh=%jit~``@khYKKi2(c}wG`z?yF@>e)gX$q!8vLbXK?>YYOMEzgZ#KOXCTJe_|&mGRhYhm_0FrP5lm0N%OLbf-315BcxH1&Jw(Pie6u$Y|apNa^8{BalC486EahD~0 zU(|8`6S1e&^%YlJV;uWeDbX$U~C)^x|0tw~& z=~YCK%PJt@9lla>-!#06v?4C(EQMe1d}}C)Cu*{D3&^~D?^Xr@P@ID*8xvqgBLxH2 z)IAkWLjvfmCKv%|*kP2Q1}b1Ss()=C#IT?-X2XOVnBBwR5SaW(EIKzw zcKa_zJa}7uF=;lvAh^+~0$s`lx3lhkX|k9~VK`d8&J|N3mKd+Jx8aQH^C|GRmOw2N z8VL8rL)}itn-oDFgSLNTG^!NDSq=cGG+aUe@a2{6?%1wTbvX>?%Y|+@a48%YfN{}C z1z=r{wUw!7EG{0d$83Z#Hle7iF$jnWu!#x~$j*#?qhhE0q>nQVng-T&5AraM=WdVV zwY(J7AH9APzhr}~kgxm=drW1j-bj|KLiT#F2Ly!6GvT>lHP^97fI?J9B^i?4Do~vS zz5o=e7iua5S#uy-a#ZD4n%{7bG!Ww0L4w8jlEV7QvC^?=aJVqZ0TT|;#Flu`f#7+1 zDO!U2XTQLyxtvs;(Sdv`DyH6#pE1yY!>)R^kAq>rmF@=71{CFp9Bra_#(+58?S#Rn zU3Efh%RgpgCLyW@C4G!$C?b|2c)5<-m2JLEZQtg$<|-0KyhK0^G*jQ~1u>)7S6Gn& z{1uSye6!^S*V5jKCY)TcJ+~&}S|(zq5A|F6L~cvjve^`*R3J)1&6tKyb?}{DqRqR* zaX}s#R)ym*ekz#@Ky{cvCvs>2;Oy3pXHaj(G?%54Qu<$HOW9a{Es!)*lphhjm?0RoU-vK12&}dGCQ7B= zKESA|*RKTH!#=({Q&UO+G;e$|#BW|kqQew{-}qqrqvgZK0Y-4sdN2Wp99gj>=x3e0 z2#r?t>T&#BEF|P*6mn2cr_Klspw%5y zaQmkhJk=Nkef=us}HSA$SZNqSf~FRO(f2PW7Nwafd7Z& zkav+FHb#3{G$a&I)r%Y=h5?|X;AK-G1gMg4G`GD*hXZqMmtSB0|K$*@FF9zjj zd1VwZxXMfvzw2fD3TCUK%>fVRm8sW2wX#C2BSZrO$d!Yj#9B!q0dF)m zGpX7Y1_&7dX72z*ZzNP>-F^VG(?zlYaAZ-9M~!HIfE7C~g^1_(*l>(12qmotKshJ? zOzsv92I6l22_gJFhf8c{PDAZPif)PPt8@`!E+(xLNae`LAtB*Kh)bzV3$o&lenHDP zEJFtTyD0&LM#eHf;??n%Y(8QWq9NysMu#|t${VHACSk=xz(@Wy5=mTZFRlonlUF%v zY)GPu9u*x1w7z%~k6H-yM%0+ag`(G$M90JUtqbDIgMyIbUWFT)*uyNXUe?> zpK_!-6ck1a1OvJPNA94w5jurdxJmXzyV_Bn=!7Cozcvbj!60&!LJ=*}P6P007$^(q zZe}%^mxWn$48XP9_!Bp+$PEX_u=C*la<0~Tr62PeQ?$hX*(}rowgzSRrnh!G)N}&` z`0FLMl7@Xonzgj521x+m;2anm)G-W`4M3FRq-8;K=8qo+{3a_EZJ0^iZ=17}$|wsc zoRUE{=*G^M0`Pn?UX1{U3rzOM&w9IzD>`7n|HDNjQi~X32Z?7ruS03U6+yP5>iF9i z6dt%n{!sN|#P@=36Q((qG*tf)nh|o@MViX}NGwrkj`Bri4PM{{9We9GTm+g85rHR* zAMQE2AmLJWuH{K{?12->vdP!mJ~L|31WAaj1zwye1eFsZ{Wi0WRWV{3i5H=yr`2PX z2{n}C{>~EWqBDKEv7^e-Wlw-24YOC7MeZVD5DETV3 zzfy|;v(W=Xs%(Gx!)b{dI|T!Wxo0>BL9Y_Z4>9v)T1yBBh`I!1y{SY&`!SO!-K4{q z@bAX*srG@W{xLG0`W1}Q09D%P!<2q_0*L6WZm^fNvM&%4(@R_jNNqBYpk%(!@pUx? zgnd!KOOz%;Hb<3oB3}(TPmToNtKVg3sl=>d&IzSLY zyRMn1x}!|_@lt^nM$AQdy=~+Lp-Y1E_yb1!-!Ht5cL11^eZ+!cJeSD70d`UfOd(5* z(9HgYfJ)gdm5>$IHGXyy`PgwE^$eK4iK@)^qeQ4oP|A{vi8dM|+WLt>E) zLl0Dy3Lw>*!@|ITOA%ShPGOSx-le9*oWhyq+I!iH8915g0Q|U11Bt<=L}#(v;F>8f z)Tf{YW`RC%EPGqrit(s^%a5WQ4TqI)*DA^t>}6yhg)<)asuwxD<7oGkrg6xd3BvoS zjjA#St^z2_L4xI&B=+bDVg>whtqJjYCrdE3%KFhTXCQ4DL9zW~`*Qcf zC^@<;6+MXx!}h(Btd#6Js=@r~bWT)hOgChsM zYg^}mxQQ8@&1T7Q1bIK3w}@V!C4p&O2{2Mk7*@8e$u}2ml#?87o~879i7eXZYFOSA z)l?o&{cCislco%<=Vi19Z&63nY0P>qAa(KzZV5sa>N~P%i>S5BP%)TG%8*|Eo=<$Z z`_?b-55#0b7`YJ0b+M`fqZ(~4A*CfzFF<8G)(MleDawSH6P-3hsw~f#2A?ufn)t*M zxjQ$$;nMfm#5fo?Ad4!>1{T}rh;^)uONG-b>{-yO^Zv*vz{v^G$-6PVfTX<%Ik(&l@35j*i7oPQ_d~b20%N1L2y;Z1Rt~~DabaHB5%77-<-^rx^V?S zZKuF0AM#4ptzOa7U?81ok7D*vCY=um=LVLEo^kj;xGTyxJ-kYFekCWz$mi{TUi}5L ze9d2eoK0h$95|fMH@>PPj(p!6%*+O5L&%MmB8gO#7y;~dmH;hNc10H@!IODK05Wv%}%SP=JD*iW=V zKR5Pe)ctXiEmvGj%Ob$4*5MBFbnx>{q-e?h`F*SX69VxNvmb zm6ml>rQ2?@HD-6|3aqrlw;*yB!Z_#E4SJ=!3ac(quMH2?L_u&jAgaqVde({QMGoOH zKL@91h80O=9nCFYRz(RaGQJC4lA}8NJoPAo?X*#_8s(0k+yRjF925aD5-$A;*OurAlG-x%=_N3-K`UsTT2VKWjm5G9e8_+K@B)1)Z+$TKe5s`a&_ev^8~qq=eVL%tEPDYgS^*a~0UTO>AKbsO zOMfH5^A{lX$M*LJb$OYo)3(eyyi_s1OAg#f`X=8Pz-9GK!974J1g-)N;!O@vD~5jx z3F5cH6TA%?zWFvQg;p9YSN_$Q=UbpGX@GWdfJQRhe($^D?RQktU}ouHgk>-rZ?HQQ zuCIk>bQ^^64$ULl)Ps$R*a?>3>5+;0o*#kl31ahPul_Dm9PHT`thW$+ZyBm<6_jcP z_a+TXfrhEN6Rnn{bhZu*{I?-oc1}3(=SiF@$KrSB+73#Zjb90O=S9R3!9l07+&LZk?r9f>HDuNdy63 z1hz*wQ%VH-z8{Nr1bb*Gk#;Z%q6@&^6eqA4ClE@A;`DWnnzr_u4Z7&V=n;2(8!I;y zD}NWsDHEskDoX8DOo0`iP)dSOC?Swd5yZ|#qwP=c5kHs|uUHbVtet?P9hbC_XonVq zCKIJqlHfW7kQN1SeitY$z%|oObi7MakqPo=NVaK84BC$k=KIF(j)y%NhkceTaF-mr z50F+NCCo++Dn_o{F~^unlH*PO3rXFFrecI9s#~XOqQ&KFr&?Oa5VNOLy-JHqAv{-o zg%X{FwvhrcN-RxDR^3kv3{7=@aY7c;x~-FYOW@%QX`>7&aw=${(U8XZl+2+tg~inV z&{>BT6G_Cq|OZ98HsxMYmWqXzDuPdqLe%>rq(A)l`wXI=dq9!6MC3OaI ze60PTTl)cVSnUC+84Ia8ORb?ftP)(Vp~9%Um90a+tqFZy%iU7PMMf0!8JAYuE1{~A z-z!YqwvMr-<`Y@9XxdMSk$S@sxb%-=*^xR6G9nb1bG-BCIGuXUky_)A)%eR*Mn7uA zyh{EZ)R@{9o7*g_FKP8!54BN;IXW1>UJA{;%8E%g zep&t?T!g*CifQC;Y5crgA2U)Q#MER!_RDpov0N@Z=|>ZB45;Q~OPy{@T^b=0n?aVx%onx4AGa_~kmYnyl?04fFz$G?!Ua7rt94YmEQcKA6^equV}g+p+P`wtCnh zwcPpwk%09&QM@}*!fQc$4URv4U3s?VJ#?&-b&V`{07g41nL0`QJITX4(OW|?%K=MX zUAXdHw9M_K;obD|-Nkb4@lNeXD_tDrptthycLLo6<=rfHU3{%=LZjXHhut3_JtWm2 zN$+0i^j_&v+-OVEtOT-z9Il@#%KRHGC_j4e)BA|*x|uM0MZG(;TKir-Hk0P`T9o%< z06lZ1Os7&H?tyZV_!(d{0?pA%|en9H);TU``&Dmw=weM={6tDg^2CZ%f zec3&uF4{TIC(xcIkjDnH?I!)hCn;VS4~7YX4G?47H1p~-b4GtuV?VwKFDgP=FBX9A zE`nYw4VaM`AJm%`QJ8%5G-KB^`B@u}HDi`_tha$QkYNXAMTnMVL_Wwq@V;wGlw}s% zyZPjCfYyF?+Zs<+aE?*GXT)xt(r5DB@o!z9UpjBT8TlkgE6mB-&m9QNIz7OT zOk)bpySB|9$j*9H%m-!s8cLsZK29Y9B1JweM88>#{vUp1ix92RL)awrw|!d&b;Vrv z(_&7wmr}qhf3p(# zKL|-!6>2{x6%;=)L~fzwsWV@2N#A~Hie7#=Sh>*HN# ztY2frbM`}9ms_@<{xq^|?E0+DzsX*FgNNR}aS=i2!b68siTm`lqQ|oSn`H^=yUFOV z$;3)soDoc7{D=Jv#Hsj)(_qVOb%;Q5<5_@*hW>v<2>7orr3|A z*l*C=Ph7)~%iNC>+Pk$x&wSp`rZ~tw*$-ju)yv$IcUb+NSsp~+TD-juz zT^E%rF5JcN8xN%eub=1MmH&*$?=Fh2@%)ieJMPl|+@((>i1g`to>|RfTt_*gOF5pH zpWgWRopVoIykIMt!Vj4f31fJGi>=R86yJ)X?h_ra!JZ5JXXEp=#3tK>~})(ywy1pA@PKE z+Y3`$QjzhnNE+?w?Ll&W*KMQ4>75aBdh_vo?U`MLbZ&Ol55H&rDrJj$X|8BTTTO*X z<55TqyB57<<8j3Lq<`oB4p+r887t*_CtYRiGQOfRccfj%sIi2}1%Uet&`AKZ<&yG) zfIy++SIhIKGC$FRuqj3pOxE*5usHQv37zx%BZ-6~TN5tK`;57~9(D1LEhj(Pm;fnd zC&0ik*)a6z!Frn*4Up9ol0N{kJ>KM^O1JW0X+9Dcgo=`h%Xz+K@Pl4bNbk;K58d?# zrhc290urGlc6JSa=MYc>CJTa_-+QFC`aBqn>v?>xI9?Y2{{Bn*H(#;<)03&M%jAPe#u>6l3QnxBk64`wDt zv%zx1yXZbYM+>_#5pg4|^xMg> zY-@Yo_DnBs#N=iP{qJMc%9iVU+n-UyWVXd`DzEuc#lx09)t2e-=a!bywb<}Rj{d5*eBfJfOR=?wtQB*|I~Du+dh<`RO)n{IRxI?)lY3Nj1*`{9*!M=w(!Flksm|i|=rzcKOb( zD%~kvjdIo91&HyLgl9sH38;B{#*IYHlUmSj5lQKxiQu9OBZkYOfp>0*aMlR)YgYHQTMXO&m zu{NF-szM_xi>@MEXhuWqGSp{?a;#~{n3UVwH;mL=^WN0Rf-~bz-g4;z)|hU_^_8#N z06|q77@pr-(M?O|giqj8?7Cr??V)HTI|G}|*Jb-R_e4r&+< zwQ*>IWZ1oh!c^Wym|9ZZPlqTH3KC&uedhO6OZSa0xOvCmbynOh5i{cbF(dL-xTktP z9Z?B~AdZ5>FipDTmpp!2dS}livN#KH7W!jhWk@Mm!FP=k`HV<4f9tm;g$Y1)!2**? z+2nFnngRmd*-tLinys%B%A473X>v;Eifg#i4m@m?H;0p1ug)zO)5l+tKWGg~5+iE7 z#uN%UhQFD z9Qm!*?Hzp{bpMoIzb~&a^)~QQ>*}v}UDqzQW>E@u0iG$k5;};2;%u zs5mZE(A05f?OH}xIQ>kEb!hJBwYt1^bYb1Hc*H8zK{j1`VA(3)nip zqyHbdMd^@kP!4=d#wnO`^8l~*>dGqcNn7dZWS;P8HH@(~-k^h2tM@RWgjPKc0s?me zK)3*gDw4e8u}__HIaQLUKa78H$n=mkR4^i88ie7x_o5^+0Mx00NX3%)SqMmq48_XC zt6%sXpGusA%rUojEZjTDxx;uLAe-&QqNApCE-6ELX1{TbFsQqF0IsAvW{P}P8vT0_ zE|2QxHpwGscr&zJ0>qrCOQTkbb36FwZ}>jfdbt{u1#vO_4L@?9z)P`Rc}|bxGSit! z+r2FOVTXnU&Q=rq?2^0DI;KV+IOTT2obQqQ_rmkeJEM6aT0C3Y3VxIlJPdtmnT7|Xp9y8LQ#cpf<$2g>2%T;0dQM<q#d<;x838(d3dbF;7dd(Depf4dyqUN1_Y zapVL5ih1!dR~^5%%p|mHG}EG}3av(A-7HB8wD88a8B zScnKAUY6T;^KpucxD;Sg+3$>G!Wv6wlh;KIVO7+NX)ZN>@~+W?{=pGvL2* z{qp|m#?p{FF{}Bp1>y5})1|KkpO4wsKt^$HVvhkUcfRD^k&!6j+)b2oJ840qMb2F2||>VQ-I0vCa;WsHQN1e9gtq?qZYxX z<#x&$Ea5@XH!GqPE26Dwp~RP*qb;3tHKJ&FU86lss<|Dv;$nHpkrd(G6px}Q?qqTo zRV3j&7$3U7CyO4+iFskXhQ^C=Tp}@oG4Y$lNLIvXF?$ea&3ruhkoPp*%v;?B$=D); z;({yULMuI-A3`YwG9zuf-={Zq5!z5H_ z`lvA_29w1#z~a1@{8Fxcf|!9XtEZsjBQ^HP)&(wa^zvP>SCaLaUY6OHx5HYiXv;;E zANw_Cu`C3nT;&H`;~9V<7&GF6FzV#1vbtVlaielk`|W;*QHaT?lp}LL{RgQp6d?jq3QaZ{^GDWN!skjd*8IA;i zU%E(#dAAYO4EQkjMSywWk6~(r{noXiQJ2z%s$k`+z?VQiFdDFp)NM;%!B#q$^4OOY zI8>kxbEbj)z#Lo|lnHo2EEr?~-$V@6Wqlr{{JeWAy^B)Aht(g4$E#*5iWz&46{^ZEVbmb=jg$w4l3#KwT z0r8jQlULqhNLW)?(#j!PlhRJgDa`U;MzGNBr=HX&n4H_N`eFgAHI4DYc!J9KTvI)l zqxX+Lhzll3t|m!+gnCOda;73EGbY~^NDqfdH;Ya0*6=~NMhlIm zZ_@cG-h{AAOrh?Kp43e+^i3cb1xFt`RYPCJVb@RNRG_ojE77w+D9k761=Xqu#aFGs zqHom2Sk%SrXYyNdaN^W}1!_%Z6Ce8&@dZPKp48-?R65wy6}Z%48dJ-dsS>|cmo`;D z98VX7sLNESsXfiE9EB_RXow~-ptE(Px!3IUcJqBv17W>Zmzd<|nqilaS7I4hf&c!* z!to!E(ixXJ*hjjh3+1%peHrwKyu&-$pEGK4JK2K;d5qS^;n#YSpcwNg~frW834P3@!R& zHSaO4h@DTV(Um#)^F(@_fd!g5*N3*DYtjtOI-1q(Ml3*K!DDMVxAY}1vp%qdiG zqClRwg4cb`uM_IW+@1DesU>OrR?S$B zy!zpUP7;8dRK}-ET2J(Awz*zmxoc?5xvENA zKh%?;8*(-6IEH1yQJDRCg}o%SfvqvF69fVPT0TtXUtp^b21n@{La8(~@D( zqL2B~#uD1IM@{S?c0N-mMERpE8z36wzKwR9_=Vq!F60(czAshlbvr82b4af~g;IT|I9V zFp+_{_*CrpH1F0I6!ccj*Vih-(0q+aE7uoV*LOC`agq*2Xf7f7x%) zHyDvPX(ffj@-DQ+qotSjuAnQ)m0@90vsn~%LQ6B!TDi!_!mH0~dY zP-_@Azuwa4-pZEQCCS_sKG`-%lr_TEF)lRUFV{4kvoLG0Kyv72D&In=~_1!fnh5A`17y)+}w-_Ch+X zAd;5OCwt?h)|n^!F}{)l8`^(oAl#6} zXg_0YJLUVn>9x&g2b)L-NP(MCI;%y-Ge(JlZHjCPT5%jRaS+fdvBF?6{n@5^+~P-O zSdApS)?j1o-(G#BP2r2KvWNZu=_+z4yo7c}BmwaCtXs};&J6Uf(e#k!F6>`{DBw1BH*)bT|j6D9^aI%-^aByPk ze{Ik)=@7kZPke1(b?q>Pa*9HCa^QA)Q|P$Tk9NszeZT7Xd~#Yp>ZquEI%(lJ-QPW~ zEk8SMS6S&8IU6D6?(}jS`2zo<;W$m~YQMN5vTRPBL&Tt9M-+s^gAfk-duIYaFtBJJ z2i19S-3bpghKzcGi{prwbh6LuOzw9^=y>}2)cG~SS?Hn`sb~a~{SrOI({{E?v?Lgi?FE>GLvAmpzHod|*bqrleE&6niTRX@=VG=WO;PwV zlmnh$3zJm_^K+wxWI8hb;e8kEBAWA0@a^8X7T8S5&D_w<+)q+A9}Hg&Q02Tr^1$SJ z?>4M;WgFmZf$hRRaI#|L=4|Pf@*2Qff;UJR~VKXDK&r{Z*A@ikJmZMWU3tl$jBt=3UYSBjSrE&e8b7S43!*dzchBB{mR}je(Ti z%d)U_Y4uh94}*QyhzE(Q7u*k7l)+X?_b@`U;oIoyvs^D%BGKu;pxkr@JKJZk4O9{xba~5YVT!vF7)$G zHtL_8-%TF9OUK}S*gTfRWYP<&l1zdo0c{140??sXr2EF!`wscPqKb>gG;xk?-#+kV zVb>M8ufhRxXLukecg*BB$YcN#4V>V+n~GD@Lnd7`{X?MeaL}*IntAVxpUdsM;OX~1 zFBZtm1Qz);E(_FH(t&`9n5^yVSE18~Qh3p1@KvRh1ENF3=a1AARy&#ssd3DtVG615 zqso!hrQ@!n?_ZplKT*EZU+2<`v$khUQj`M&-k>pdeiHzQ9KB6m#JO8-0{j#9yHxVK z5=Ip9+?BpGv_wDu;R#H#jEe;Xwfw{ota^?CK!7<=JZ5R-SRf<;lemrz{;oF!pI-I< zMh=l>cw=*L$uL_)M6_RGQ*T470z%gWMblDsD?zDkfK^TmOLgEF3qqUeW8DVYo!org zPpk!Lo;TgJi(j`5qy2wOzmX^Xsb7zuhv0}TUC5>Yct9M0(GaR`BvWeD#rxaZ-rgXI zDAowl)3sSHthZcaiC=W5i!3`(^e1soR+_(%Oxvg7gONPWaHB=o@cf4$EHSd%>Dk08 zp4WlsMjJeC3)R-tzlD-oR8FB9aUGP;tnRs+6SYbD4_|X`FaFMCA#`H`0YExwDrxji zXnZ&b;ExUNn3b7AxVqEKUTo^GS1dd!xS8!OFpLowu{2}z7IwkMqRq@XNV;)HD7`I$V z?Nl>AizqQfIfx=mStAHAFA6IuNT&1Bs_svevvcpN>_2oHAU-&0`HOO=TX(he5mG;^ z$=+Fkr0!4L@)4Q&tZ}=rj8zdSkN$m@Ime2V`^efy_VznfIdlql^5nVBp3mA&wm;vc zvkkU&kL(XYg}tF|gnw)i?4tt;MwY`U!TW6EJY_sJ@)RQr)!jmTNb|Elx5$CzcOO$EN1y?X7?*a=tAzZp)J1r zU4!&*y-Q>NJhvVF4&Ja138yl+1n zCUATnuqP81c;uczAlh!kKTbUVTchs;;#a{@1SmlSR_p*VCI356=2o#}djm8(fVhtF70b8R{O_dod)5L5Ey~m-!O;KP2zf9Se!q*FTGwSX@XWi-AhXT=b_0P@y&jwZuUqqa6Tc) z*MU3QDQ>TA)3+oElH987Zi27!i7>1OamTB@dg%_nKS90PD1!x(SUdi-91JDgmbG$b7y7#S+)Ln|N>SY?jECc}CNROb)WyY)4 z@c(=z6|(7=LuzNm`j$~RVbeT|==iS$)&<%p4zmWcCjN&!OqN!*4m$MF}Jxs z%o*#LSW0(UnM$*!7+HZlfJtv-*toI($yNjdyu5nP(NM#6tSB;_PYM5E1GvjB=S z=PMt#6p;EyuD~wI)uE;sM3=HKO-oM{ZeuVmSAJ?R@d1x73QbN~(fGEZv@eJ?60P3$Sx-{QM zd{RAf!FlLMqra*d${;;*&)FpI;O&2pZStR{3{u3Vl@<*Wh!(>D^NNV7mj|;nYOQ=U zZwx0s(M}eAEXB*Ji1vF(3I8Xsb^ja3uk%edjQnLhg%SY0|F{l%%lj2|{-Ri)%Ee-$ zHRb5KTFYw>NLTH>W|yU&!5mBmKZ2(@c1VoQ$!yI*?BOI z>;_rX)i~4gv3l@FE2^KKO+P*jB|st@o+~XfRKHvXptUu}jd@I;3Jnx~@{;qL3EKGi zjL}2?Y>1>x8=y`FN?foLcc7h4>S+7e$m6wHedNL3b9M9m?{i9^-{W~)$D?08tRdws z&=+e~)on_!2ye|R$ZK)oH$vzU=yFwGru?{rK-@kNy(rP2L^}WUEi`TzHfa+e`rgj| zCP!vBIN@7!l=nwAcwrwXQJ#qkyhqv-6hUEYk>|-z85C#rF<_HFe~lL`rTza$4xz*Z zrNWU(EmgA6z7Jg48$O?BUW*z@9sPOQUojob#v7)@5;Od^v5uyLFnr?5#^KLiPoU7O zC&M7#z_Z99tkSfN7z64kK@_vSxHQqYb3nx3ad#>47$pfCjR;%ck@x42O9DUB&Xc@` zt@Eus;w=+k=a9B5zE0hET`EB)+eJ=6MIJ^{NCfkUc;l+Qp?gG$Te*&Nl0(6oc@t`M zwunOIwn_G!5b%5U&9x3`Ddnxd!Q0Y}w>tXh7nI1KbLpuz4ZD)BLf$|)HeN-p2PPP^ z-W%U&6Vg~@*oy$UH1oI&^0;2-aXV1+xaILE zg1Ns_bNg=L&lwoUgZK;c_$#SD7E;qnZ_-?6KWb13%5E$^A;3u6c|s@D!q<61O9XBL z{vy~kqQo?!vDEADOqJ`X#ksdX7UuHZn{ZUd3v1>}fVLe;^Ce%?h*43pmP(0#-{u#h zLEGIBRNR)j4wR^*5jM%Ux1*6qH8JLp%2(!q%LRNV zAg5KOD^R7|k>AV_GeJ`f%U5hCQBuuSx;7&m&ojiNl_TDt=Ra%1y1H=whyptE?^pa25^5D^Mo1l$S*p1EoSYwtJaFwIx(mK%EU+3AE zN;oJMnLj501Y|!!wJ9ctSu!oY64HO9C=#zP{LE3L+ur9QMsNPyk6%~h)lTo-Zh2uZ z53rM`l9mm}BRmdzv8|r zkFL=c+fB?v-*n2fjw;+&ZDp*|JeW8qfjtKQ zk^Wt6A_cuxEIKF-4mijSE3Iv&D=j>zRkY2&w#gFuj^|qT%a^IqmnkGvYd``lr6LOG zMFUvHyYw!ZPEt`UBugS}Gkmk+G?^MMY(nl!RRftizaO?SXlr{L!AM2mU5gK+ z#chdZ>2A>a1M3n+<`A31{3Xdw3%g&E0ltMnY3y0ulD&HiQ~*pkfK=pLc)@Tb^N52f zUMurxfB9%XbIyjW&Vr68b1F=^^B3O#2r1E6mFEfrV3YTrf2U%X+qkKlj0Z-Ajz`BS z#7A{Re(U7!98Kyd0Uk%BoGlB1CQSXNy}pcn2eyl{%x_Q3A~Wq(jZpDgSyuWhUcNeo zGz#_Qw1T(d`D&e_DKSF03l^J(kf{Gtd1itS2kj%;s#`p-QOCR<_ED z#oUVBSeE66zKvAG=0awv&{IEdeC2*7>p|v8e?;=YyWq^@uAf9OS9z)b!`xj3we?4R zqfa0}aMx0byOx&X1b4UMTATt!iW9WBySux)6fN#r+}%o{SWf=unP=Y1^Io2rHG3vE zx!Tz~vwrLQS*|3jGX(a_%m+sM)Sb~#}ZH%g9&}h*v%fbE3xd8o^Z*Fg@La-oN^Mh z)gI2)Vtm@boT>rO*MKAI5bsF|uOiU=A|lgkWC@*s4t3;f`1e1r1_Pu>59=r{uPL5% zD1yW`shJDO?6-xfABVW)=IihrDon5HXl}VuR=4=uuEqMCh-j{;{5UlYxu`9NY5cyC zb{r#BaM0nr-`TOHcdnzapkpw)Ia)<#^!t|AyqM?4;Fo@LH{?iFkVSl1j|r0kgBm!o zxw)`!i;?FU&753NYr&^COcg(X8^RtZW`{aD_1miV#w-!s zZpPgFDBO&z>~xIVacYF@4xG#>uv>CzXYS2wODI(Ml3V1STV!g7x;nU1sU98O2~Xac zcgdMU9WDtAYP4~3tNfr+<04PPlq|!fTKr8+J)kI;MzO|B zeY25vkM{M?2jmtcHy41GWs{aelNR>J?Q&X$rP{YO^J*zS)ek=i%>Gdt)|XPY{aAsd zJ^WGI>my1}i0Th#H4#^h5?6tXJKcgEF<8C*$VU^ij|NlRhQB|mY5y_gb~U5QC2KLQ_(T$IxDOfk$T-sFc>4TeHvyDS@PE-J+Ro|xPp7yTU zXFn(Q-6^ZnKN>l1n%_ZgjsQoL7DwzB$3Rm*#()jdEIQD8(W&N0=wF;Cm+8o6os?!H zmFD-C0}l9~zGHv-CQCX+A+sTrMwxMJxzx-Na~H^D?RVy8+_B^Ky~W$_6CDnqIO^xZ z>U-0*kDf-2o(XzpPbIG3$sDws?d<>o46OkitpRiQu0#?9Ek;Ul3@*csdQ&c`?Vs=% zF8sM$e{k@A`;R>V6z}^twJ`>_|H;<1bGdKkWsritE7rArpl>*F@aB!Cc|cVL#Izg% z(u?D~4%Zjnq zuQZQd!yIl~?F}LVjp9!ZDx!bXg2X|+46N_ywos=1*DYCXMOz!}mR!GUwA?K0p#h9E@#1N%i&(dpdNA%Ku|MY6lKr%JV~IWT(A8@3%{ZHW3gp> zCCgI?3#A(fy;4YOL|P)7Fem{vv&m!)C@Ge;B1K0oWJT*^$AL6Q(}nawD3bBTQc!4K z-sf1Q%k;C570FA!rO=`}Xvr^R$>_x)(FeG|D$t_S!!6O{Lz$?8Fo_p5N%UVJx`kzE z{jf{-?8V_h$O_=QwfnM(-)#?mwWRFcc=Nh->!Zu~x+5U03whn;_TACz2Ap?_s=&@S zOF4-$TSYs4LpBEo>GlA33Inw=xVL@eE^V$+{QX5Qdjt4rKr_goYAT*(jIIs5(9gWa3K z{(8Y4%%mO?{I=nKNQH>F3k*((hZg1=n*}G!E!`CXa1jp zeG-1Y7kP$Xy$mRFZ7KFdGjSlzPV&9j-hIyGVQ;6GMM7qNyhzZ#EJgUtuOY8;_{_tG zmPMpy{koQ=yXg$v z$(oEju%7yw3j)_n!J7Qu`T2Gu3#yZGYH%F=RfGR3p79`wU9?oj5r~idsEyqaK7a_C z;V9fb!3l>1bW#H$g>d^Mm*Hqt;6M9BMiwF`Qx+|`i#Li0*p{-vm0U4Z_|HD!bsB!4 zoQ@fxjuO0qTN()t9OPlEh|uu|G=0%*g- zf$wLB#jaP))DbUz}`Fy=bJEu zqN0ys@3#Q;2pu@n^VyVvu0n zB}PGFE|Ay$Mm<0Jrm5tA?33~VCR`tEQ%w#@1YUe)RVLn)Qst06SEzPfs5*xlmT{S` zyqrezN+7kP*6*PFbCNtcu_8iqIqL1N2ndW(p>={Foa&i3yRNFzuJ+w4!gTKpcsUqM z_`{oeglA$)2i;7|YH-8&F{%7ve@#CPbRsWT(V7dPERFu>z}up9-}kLs6oOY1XZ^=`T5Ph4 zkwC+EMlc{|DgE>pf}qTdSrOaw2|t}mN5 zio8$-0YctTKH*WJ9>(pP5+GAT0cJ~m%cwz=Yt+9OqlZ30-bNYoru9NVSE&1Jm!h0u zy%1y^|6Hme_}wXi=7pEBFmcQ%S_eRJ3P3`rj6$G&gNpjyw8|R@V3ud4qAP7kn3W6) zV~gvJh}L2VGmoRg3mw2%LI&c}gCYT(RIP=}12V>6?D1o>QU0%qlmAcQL}Q;>XGKoC z8!x#oai7&%M_z9OFQsjMpIw9$=l@6Y3GsjO$@#bjpc>o=$fYp|2C&NLuW9W-)ycO< zT{}L&*HcLRqv%A)xNRV)i3#k<QPJU|7Q zM-<8fL1J!~1`;6wVv*=HNhl#UkpD=O46)eIj6~Y^{r~_0XDa;3c%_S^M*>@V3lL1! z*@cMV@!0K8(&1V_~97PV7Pf%Npbs$?&r@C(mJFn+1MBZH8CWB z3Vl0c9*~^OGD!>Js@FwN*sa1Dis=IIn?+5DZAOTcm-Wd;WyUQ0KN8W95`$%vEdMK_U0qGH|8Kg1eqQenz(F4}2` z3$+VY<2n=d1m(IA<_pR6P9U@?pw7y1M_uS5k*FXMdSVrxL$C>8kZD~R=9MxCin&f~ zD&lb-B^|DWN^n>>7HwVUpP{BTu~o6y{d!UL{D1qr#JSvGzy9oUnKM(naY0g5etVsZ zsyLaNDB_iNGK)VTz_*<=7Cee5k}fSpj*ap+JM1gSF}Wyr8q7<3u?1BK@@ReV1VDF zHsew3l=o4=fG#+;#ZHk)ZUaAbXHQHhK*AV+;*U;9kQcg$aVCWyiapGD&t;+d(-1t9 z+{1_)4kR(w|A&y}RjXZiLat(ks*#fyHryUJg4hgJOdB?TWc@wyiiEDPpTQUj z;=y0mI|%wlCWcCB819Gw|T-z#w|XOB!KIMMFtSR!~+uJ}psi#;7Nu|o`XZ$hc?a?P z&C>vdUn%2DaWEP1IX03UIT-~*n^T8d)inTI;T`j+Mzlj@XhCu0-e%bxrw3# z;BjOWZXF^}n4I}egvCEr#?=8HuTc8&UIMXyob+CarSlFCM-qe8r*6xLS@ zW01RXnkO$8AjlNGpw~k5LYr3jCo9w)Z7)G)5cX5mO_{O;Fuyj*$7xe`?7tF8Nr$5& zns;6wZxLWgL0$CYR+C<5kn`pIoMJMnU z@Jp&^FsCKQm!+H!6p9|Tu?S01i~OA_;Sicvw!<1LnErL5mBvgO_+BDD5pn_nNTc?- zjyvMK>_G^q00=>1=z2J6MqsFV)Fhs>x@Rx2yYvTZJ~e`G0+q)1BI35mriv5Lsk!lw z*fia$ViXg*Ve+*Be+@D8fX6Q?W_T*-Fn@aggfIw^P-D@yqdFx4P9CKEgblE)5rsfX zE4D>KJ98mJWxh@W0XlLw(Wk@;oX>(9riJ$@2C8G(z%9r(RgRL;`UlK;#z;TcPkxO8 zAmmUpb?ex!89D-WRsdl(HxBfL$a3MjS~QhK+D%Q&8;3jeOi6D%us4PBMu^TaMF;14 z#if~rucGaFm0CIan>l}zS_;n^&F|5$Ph+zw4|WgREd~=oXWUoL_;?1gveO8^>e+Xj z|MCFw3cZMFLm&2zO_9<$J3%^HC(QmuM^0r~5TPZ{5*kV|q*4xC9LA(W`Rzv~CM}SR zp&iPhQFUGFNcK$LiF;}vA1(`wkU@_#Cfo`j^hHPV%eTsyR0-C89MXO!e;xQq4>W_x zS_#Qo7Ziz7juPk2h5{bUVWw*|N@s+$i0J}kB!XElactC_FRZcE%<%4)gprxnR%WGQ z9qiL7)9F`r zZ;#4`3ag{j(Q{>w)UqmUmw; zVt-`je_IvtHHK1rDF0!T(ZJH0o0F`Z>-+pVT5tFEzJ2ZGg03yjeJlFD`|0J95S|~WSZe%(@Ol-h?A`ETzgmXr z^*T1DbC1E{tw!TmY8NUFuzvApe`wN8E_Rn@X}`hvaF~TBCq}BV8h_GA>afY zH46^9wTd}%k3J}kd0vhwg)1oEanU(rL9($JDzV@+f^be-ct0o_KOBr3bCVhalZmSa z$I67pky^*qj>J_S#cdu1B80^vd&JWIXQ7}VToDth082Ol2v;6KcmYY2amPzhlrYlh zr_XW6sR@&%aopfUv!jGRpQ8x-05WNba&3una1JHb5Wm);3l>WYG}Z}j53#W6Y$UeNT&QO`}RnljKWF49gHFO>O#>kuDobteXClFS96( zfL5K<>>j5!4B#T0(G!+3>5uNdm@L%>HzMQV(oGGT9=YKhfWVtUoxu;gR zn6JV<*U>uNp)e}RZxA*XIZmJTjoc!2-^xa6YZhMgiY_v4WrZDED*aP-8*Dpm5O00^IxmuR}Se7kUD&<}p5*}G^U2ct55`k7GY*SQuQZBcO8W&r3ZCO_D z3C%z&Z+|SyKM5>6i7rhq|HfaI%2b)yUL5aP+}~avULM-kUNOB|Ve(LMPEt8iUOsA* z*6vX`pj)}lpD~_ZIcbACty?|IA2c5xwfIiLs{17el z*fZ+Wz9B6BhVxU}8}EI&YD8%Xf0JQF6Vh4}-)RF~MZ;(Lm=@i}#?=-hxn>K2Rt6lx zaC~PCol=Jiz$f_@)Q+auH*KzCO^E_+@lUN>%e5`c&8^I>L3+)yc}V#J?fERUD8K-_ zidKiUR=1}H$Z5M6OUw7QcHmQcGHUA;N^9$BZT3@}LIwe7fdn(JU3IKI$+m4|tx@S4YP9W~vTgEt z)9e$0yDHGLnn8eb<%1sVf+X7cajg4SMfWgz?|DZH%(e;0+KVI@*n!@|_@;+gv5t{U2B(c%J)d6n-|a`~>~(Q)C^a!x+@8 z%r+6I5FhW5^d2zG9KdNE;En92CvUOn>^HX?RIVIiRlsGr8ge8b{zg8GG2mzn9L+Y zb{HV;J#gfhdE|$}NQA;@l>Sf((`XTEFZ1sq{62(Q^09isF$at>^g6G2=O3*BdYVW0 zxe8U~-lKMz{X*VDSLs9Houi7Z%_Ll7lh5OYAaxK6Y798qR7>^blQMViY6FDl}n%UrvyF)%X%Np>c z;d|t5+&b)x{P$NG>l8-R(8&16zs~NP@hRD(DcJKkn(73i)5OzSI^0XqQOCcw8^0+Z zFYumXw4Y+OpJfmVB(P5;m_c|iH1`2!F!#Y{%$$y@HV4W8ini5q+ z*{b*P9c3 zew$&gJ^PF&R^=q0|31T9hqEa+=1yfQn_C&1)i0~R4Sv50%^X$D6J8?_`EHYBZ?lp8SpBj!V|PLw1qqg2MdR(L=AagT1kJSNXeeeTDC07QcFt zpl=8Abz6qY9eGCAJshQ7Xy{IWH7*$iA_rujL}_2Edv$MpPlXr+Nz4w_Jrif;jHLE&ITBV@V)-ch_LvL3mtFct@EX zKBkNN-S_AVEc=k3;wZpy(f(rJpgPnU%ilHn=zH~%_v_LA=}P*=R@@{sAv>4QtcFN*WojYCi2^U95rpIGxe$xW1ye7xK245Z{WL!`ypNU0W6K-EKUtUu>T(3|Z zQq`O+!jx|0Ixm=dZg`Cl*^I8)v1^e#R2oe-t`{>bF~k?FZDW53AM zPM>py7J5Tqg7`V-PPgYy7p|a8d!kDM@nfe!(g`I>cOa1)TuDJ$$}Q^yCs*Fai3W=~~3>`C&hZ8l5Zm zoY*`3n^1j#`zP73f4T1-b9<7l%s+Z^N@C31C%(JOc>9pxaQXE0mVoN9k>k-;mKF$r zIC$*gPu+HNJOo}Yr-=k+V&gXXJ!i)dAYHL~=2DkJbUU$cg<}3D^&C|z--*0~4#Hg% z*!0VP@(JvvgwKk|*u8}1-~7}gp2&-P#tTvF3sxK=e=g#-5o}}XPj3!PxaRc~8z&Bg zMf*9Hk}eRH5KE$Udb{rjE{&?1%FK>rBq^KP&VTYr>|5uf>A3zq*+eGiAal5UBA?3j z?=ShVJpgu?ulNw1WVKxS2KGwgh^+8MDc z%lVVTP#&3ppg%85)aN?wAMypgWzh`(2(1eQ>f{-y9s;`MO7tsSpnq(&E$1Ta5#NBcQEicA7P5aN|Xf;RB-8@HX2xm<~YX%Zd9&{!I; z#4xxURfMtj8;scitXGV<0F~oX1VmvmqzFM3|6Xo66(D6?G<7IMynU8MVfbyCu0!2L zH1(z6hI^2G=T)p-cq>+hON{W-)hT>7noq2*NDeNNN|Eu^;|{k)7AlT&`8?yYP#4I} zb$&#lan7R*c8O}GIBC3961;Sg6?x^onJVJIR)~#9>Ki{%++1~m&5d(&hdVP#;A_^8 z$SzbSPV|P}ny4!Y+%?YakrWp4rGQJJG{>b4lPZe@QAesW20l%yQO3cp0 z=d{15oZl+UDM#ETzCY!hi;P#7C=3c`Q~N~|06;4&L<7nRuzl3BUL~BA=}L&wlI}rT z(*HfZ|7*#34aseCAu{Q^dfmu-`9AeZT6q8%xo7|Z2nemvOZ%CGFXZY$-BK5X-hO8i z7{Oes9n9#)YZ}HK_1(}6_3r~sq?0T0b}v!)$YQLdZ^~Yh&xOMU560=z%>)OjG*17%6sBbVW7=_RhIv}%h+zG*%(JI%KPuqX z(zQt*b89~?`NAV$?XHQqW8b=)EO1fz4%E9E(68lTU+@34dQ?4z@%%fEjc3HMu4G7q zXXn7p`=VX5!uZ=LkoU{C@Y9i1Oq>hg+gw8vZALuqz#_;^mw`-cG~EBICp{^;quAu52MHS8%{!zGd)EE``ITyH191WM?Yc#{lV}h z)H^12j`IW~#9is0c9|Ulq-pWj8=l@$k14<3K=?R6FH9II*}?uWa0Q4TD)_f*$e+dK z9q4UfFm#)Z{x`bG^w6CEHibhVrNnmJoU^YkF z5Kn<^ER;D>>c`p;$-*7r6g>`QJf{{PInAyX4f22TiLFKfKDR_ah0V1W?|A;!iA<}& zL6E!8ZUJ(cn-mZ7x2UfJIOJ7U;!DO(5#I!9iGRt22|cRD3+`b$jX26GSg0kW(e4Ff ztVqkf#zaRn(lA|HjZ)>mPjV{6bQ-#n`%gZpJ1Yzp=99&pjI-KSr-MP##*C=rlS=ew zZ7e*-br$QzS}^F?(F;aQ%GqNo?97=8WG9Sa-J?k(dj}+m{}dfV)H8Q!Oa6>HD!CM^ zXC1Rz2BxBpmvBO|ZwoDj&iSU8`RC&1{uBvUSxZv+UI$+7VL2^&OuII73tSS=J6!xz z2|Z{?!>41Ed~-78=ZPD6m~e!kZH62hqESdgSSD82KkdU$n~UOaC4agy6JeT|x-ecU zsZNHw)Au2`oXT2R)<$h7H!%)Xhe=%DQv>cOM`@w?+?B%~H;flNl@h7uGVa5c zX%I|g%pFDv0bs!A1_}|rQ?6z~Wo3=sNFRD-6*;|}D-3&?N!sxfYBfmJHqqC#^8m{V zAPh=WIhh^cr^lMVyp}s84K9N>Fmv`uhcO-GUAG1m-@3@PaJRv&8xOR_lub|?^Gx`ZT&Z`x9cay7*Ah^}R2(An)< zB7?zU+7Rn(g&TWjXg@MfC2*;A@vi#&x-Ac5B3ggQVp!-Io9M7q{jlqD9&XkdYDN0u zH{@-K2!4B;C#{d&2W~C?FYDrTx;9pb)R~!V_8+uK*P`59n%@Z;_UC8(bUk+K>cIT^ z66ZN>JU-T@=eE8c#(1^V4ClK-s70p7BXmQ@| znOnaUFVNedA>NWQ=sIE%IM`{;Acc7{5qR`sM5ZG7Ptj5z%-*_x$7ngY4HtB$ z!{+TJR6Go-$lRBA5HC&L%}fSu@qeoMG8KH|>=&W8E+xV@i=yPHCI2{C;UvB?;p^6z z^R`!QPu=geA5S)RNEwI&05aA(dmkEHdL0U!&A#3@9xAa-?tqh&5~-6_03XTw#H<^q ztr@y+n@sN?mzexK#?ha*4A=Ij3lzzFe{`SOzEcgun!;lSLqgzrmpe);*L>ovy{G#C)&WBeMc4R#Kx~$pn^L$C6^I2ulBAqV% zWrUA1AqWi;tnr_G0$|E}w;a)otRS+>f;s&`x zp`=jM-i{H`GTRQJ1GB!zf}T4sk;6A+sDA{(v{?TupY(OxhAE5Hxi^TeWkA4*J=KAt zK@F(nXQB*yeecY}Cb@X?!%1ma#i$#*%S-!~GkOMeqZlyy$s@%&a`R8#S2nhZt&E9r zn1f-o16^@6Sddh4{z`FyO7Zuguqs??i#ZnJNKrcTPxt5&$4}y9`XnFi`io-w1?(gQ zG)e_={+B&TZKsZi7xE^RiKrzd7!Vy7ywm$BMlLzID~3{7v*0M9mD!Jh-!PdARVjr6 zWV&NNvg9B#(DJqS+XEVmWO~&BdGTjK_&xZL=Z#@jHvm=EukVPr|R-6#YH^LTu!s{R|)w@=^6Nf zs!^C#u2Et%?ayfZvE0{4aVP;u6bx#sl<&xtcP5vw*B95xCYzr=*kSnbP$uFoVU7RVw$)`Mpiie*QN0~A+yUw;Gso{j&kME^&wa^a|Q_dGRaH+oJE zZ!=6kV-SIYCvOHuG3k`=&A}*&%HZ`;ET1XVqUnpq=@0^JTfII!O%;-tY2vJzF!0Rj z9|gRmnco@c1b0e=in2sSVwejvxLqS8RjO|=C#kc>kN2h}^`oRh)tIu>n6qZzX-XWF zbB)YTohhi%4XV-Oah+tno1WO4g_T^XZRyWeXsFW!%)YOhlTu+sBk4&6 z)Y5QIW7??lRZZ~*%YHIY=KM07Op7H@HTM<~fKVF1?t!Y$$|Z7619_pYlF(qFn-#lL zj5OGvP=2d+PM~SBt|h(Iz~qDu;A|iq zoJRbn%4M&_Td4&*(^UCLv#_;jf43Ne)9^)d&Vo%F)V1JdKW)>sNS~$k-4#QYQS+Qs z^SmzRt33k(q|f`!5-neUIjx$@i-POj5-d4U#sA}SAl*X1+Xe1*{_0=Teg@NLe=@_r zXxn9}!;!&cdmYMxDLEt+o~Y>!zLm5ho&7xYly!JKdYNc`$%kzv{aico?TS7fR`$9M z7D$ej5&&QXXuqVikfh#rs0?x~>1QpI7lAUq$k*6s43`%smqw=O5yiyDF;53#*Co$P zCl7jcefHswL((k}T3V-F%~;n>!qm&znu}41E_n(CyZ=Xw1j31t)M!e*qy;@F+hw4b3z95iUxBA>N69Qxd>=IS$J~| zcmo|23UFBjen?UlXSUncTBQdIds$D`FxX);TwI@3(PXQm>scuZVz~wn6@h*)tjoN_ zPc`WxPi*}4PTe^-oEI`YUpL%QLAqfxx)n0I#S~U~!jB<=svLpQm-Ru%`l{Ck(+g|) z>lzn#hObDQGi*u=5F?)ctB;{R( zKQN8blD3Miwl93PDSgK|R!~B=I~BL}=}dPeO^gP&7F0}ue|7MR^tPHlza*LN zeB7Cq++i8oxn0=d+~0vk`0Qu{%@zpFo)ryAd3OJ3ma6aupY{eIOvfWVgN2KBa=$EY zIPJ~{@1jpGwo@7@shHmym}@%j-4HedLIKA(P!oK>&!2~-_;m_vBzGHH~}X$gWHLWnjOj4kbWn3$n}!`=WO4iuHsq^xsO zeCSY#-oW|qAuJTxco^r%R%%yO%j{*r^2fGiIPw7r&zDGgi>SYv(UV`m6gy$r2hqi7 zJB-!|7CY|@tuus8lcNt}i!CCEEYc<|x?HT2i1w@yt@E_DMbx5lkWcCaPbvq$q<*j| z^|j%nKQ40nl5SyP;C7I4fK>)>wQ5;b7}|`m*)|BZrmtO^jdThYPQV z0XFtaU+rMaJX7P7n&66&wZ(H@H~?H7vEg>M>87^goBAZU*MD)c3rC5IBliEEPd6`Z zQJmqaRj_A&t)_6e*|1+2`P#!%2Dd;^7@-JIfOX>`o0eT%Hi^i*(e=>r4gGoHh25V? zTN(H?8{;qaPyoPrwue;V#P{gJ!Yb{-p-YPq5y}tOJ|qFZ^=P?D z;6N}F^H{Sz>ZSwQ)cK%Rl%%^8NsJR|%(YpvgxnUF+%kfyyyJNs+P7kdY(rUJ{8If1 zhgacmv^^JXsZR7cPQheQW~#U_nc(lm4^M1O8fIgTYab0%~l%| z%m^i-f^O`Cg+c*ryb!ORY?cu|^cFfPhwpVyZK~4t0SwnB%5CkupdWtjp)u~TQ0*u* zIUKg-^*ST~Q`zrqzVDQu+;tdS_d@%}xpM#kp!Gfg-0G!9K*AExPLFl2LWjUVZHJ)YPUG*6L zah9NGD|?79|6%+WiU#g$nnujM1Ots9V`4#w@Z?R%=37g`5{`dGwVoY4UX@eMrbdRt zM~{hqsFKr&eeb;cYCvgz9?|#UWd?RZ1`1 zIRs^NC_<=1+q(zD611Zd?_=d}CWlY$%f3&WzPZecXti-@05EG3Tt2ayHZBZ8BYtmJ z8XMmqic2L|*&3TK89~A=_j_a}Z#agSBbL?rhITZbN>bRIZ-!1L6+^qd@YigyOy)c6 zo3mdDIMcaeKhW;1|1i!L%Eeqz;cP*Iz$gef%LN(-3YBb4^z*-FY^7?++NAOmZ&-Ef z2p8OF^^#fFQXJQZklN-MXF4S=Z_ZC!4iUle7;*tuTPOO}u5V!Mlj)zi^c&-qdAeop z-|r3UvN&iyFXe7bLqrnTeLg@bvON+0RMH+d70RW4nkud$WjU-*_--`v^0#^XclVE_ zA$wgHtGUq>b+X*xl4PI|JhP6~E9R6s;BPx+m~g*$o;JMu*KqDxaV~JN!BV+Y$ot?% zL=Q(rGKN~xvm9JIP3C5IbWXbk{hd`p;vOGn`NpFU_hBK>qzvUF-Ix6_#o1rtQ;vnj9M2dQ#NWPElWmflp)(Az46fB z$F1zRIAPJ8>|I_sKXX|D*(&{yGM@1H0)wU#n_RuG7RN<3uR~0^tp_L8o<%Fyr#0To zxXiWvSYvSSBXhLaS#ZDZM774Wys%nCOU~AzSxN6OYhBJJvu1!ufW2)@3Dw^ZrHizr zCG95tOQor&>}m6FUwP|}i-R>5>%B+4>b6h$H@`*Wa(`ZQJ;Ao<4U!>lYZTV0MgdKX8hk~kW>wd=gej|CmQsHR1or!%f;wSHzd9k~p9 zp1CYB`^yp4l;3|Wid}_1t-E@^bzF9+ICoUCeDZNwwK!qp-Lz}5=k3W^=xSZ~o{@3C zN-s^ZxS52~eY)rMj@@HB)0W}WuB$*d>t0rW)<4}Om`__%sTsx1K}kk6?or;9&|_Iq zzf%1ve%ZyR(|W8|&$D!5Wp~Ho^*X`Z34u+)iy|g5q>9M*kvn;<$8Q4AYwCo2SFptwvgBDJI@`6ITSxpNOX|A7}_qw&Md zk{GFQREWAf1z56F9FIa0pe+N!2`oiI!3*MF?3+Y0OBEgJ#Ia_r+{Uvckz{n6cFq~i z!xA46FA#)!o={WM=_iPRZ@z|qnpeUHmJBeDehpOnK=bM-lg@hK7$Nivfyg~SRIpvy zPFb+v4M)6G!3$Tk-G}ToJF5|h@W6*}?zFTtOuuASamCFQXvrO#(nQ(qqayWb>9Nzg zl#>VJ5(JBAS=thrHESXZSqtf%`el)N>tV_F5nt$kn8|6}s3pl+zpIFMAJd(jP3{+@ ze=np?X83+C1z9yQpJZWFrTr#pmAROqqD&F{+g$kCIEnQR<)l-zI@X?G2{*c_*r`H8 zMrh%|r>?dxQLGK#G|$k}bE$F(+Ei0?m; z`l-$5%tpXhAH!D*U+n?N>+wYKfc^k*E&?JGX1fNWRJQ(X)}@Q}39pW_cQjXX3Pco$a;jVuwXE5{AlXsp1> zVpcxt-ee9YsxJ7vVbC$7iS zDlzp|WJ>ym1SBZL1B{4CBT+&Tj7vh17-g6z$)+d1H8*6xR2relf2Pr5F!&$D1FCYh zho(1;NQA7SA*Zm#2?_%NkkNQLP6!iykSbwzt7|_t%#$0(4^U)pL-yadv`yMyn9#+2 z4$v^p@`O~`=-4Kz0-(}OY~Zi15uY}E3EO%xtF;iH)~XJgI(gY9oOhq}3y&=Q(JBW_ z-#jf_0gcfUYkR+-#_Kc=RTdpCq(-Hx9YcXmF4P7Lovqptd-bMM0%bH02SO;ie^{q7{aSeZ$o4d+Yg7yiSvLAK(Z z2-{gpCfGl2qt*|_+*QX44m`NXrISp&<)KML7^CVNw*~jeENxBeZ_9q42ZS21Mvij4cv6h3|`z14n|!&b+rBtaA_WP8tD`)w4rGUI;wzlh1eUtSAKAmE9f9kRMX6xXX(tYi_jbpwa{8cc#;4n5!1Ua`?UHgn+N}OicDc(IeZNt??;h_^-tAptr*!TL-#4;g5`c06Sd>7l+~>EH z2=uuK>{|u|xrjuRh(lQ|sGAQfITuBnNRK)H_%?Mpp(wtT;E-IfuQ6NN5Pl{lT5&E~ zu`%dTVlXcUIXMR-`yJ-DEsRBD45b0^1toT}v2`U}A2CM%JAl4pj73JZteA6YvW5H} zhKwz20)C{l22l}aZ{gGvyfo!(*i#YfN-($};BVyOi&2rvZCmmJ$%^yHs`JPUP0AFF zFZYd*>GSaF2Z%$cFoZ#*$$8DG$ZuY$-n8e9^_g`1rXrCFpxW5RT{WiA-6D_AfqCcA zQtwbPQ@;)0Ryd;~NZ&U4;LqSo%@{(>_zjMB{H%ea9fd4cAw#|D`*i+{gg`w+2gJhN*ZYKF(6(iBZ#7 z6wr{xu(AiSyV0e z3&etGUYVr$(rGy3L-;8QIlm?Y3Pa3rKU2sIpZmmz2knZi{)ehaT~Kp;D^OG^ltkXM zz}N$4n;EhC%VyKc71PQMy@^o~12mdb*CNXUWm>2VoK(!kwhGx6sgU>wq_GlY!YO5M zg5`*cYAEKg=b0+?MqsiYQ-Ci`bvGi`0{zwh;~}@L6WX}%ar|O5AQ3j z!6IGZKQpCO8kwCTgPncOG$}ld;{W6m!{TTAb-}+mrb?J5crbeX=whjh0zERYS@Rcb zENOGkEiHCQiy;e((RaVwjES-*Spv*#(k)DHEUX_79I8R=2NtIF7Pj5RYLx!p*cqI8 z7@QFdx2*fNT#F?(3MF~y-F%DP5DwiCemfeLxRF_!Q(LN$`+HbTd=D1m+eCi{2b|-j_pLpKo zejbH?MyPp$nMN7fn57CIVW?>&pFz|n5fbQp2IpIfs2omTem=hOUj9Xsj;V@90!`jUe$kti_QbOwT89XL0bGF~&MBSN zX$uwsp602Z?x~*Yn`tElb``{G83hFd7(q}0D&zs9Xjg%)5dU#$h<4{;W~rnKY4(u@ zpJpnba@#>vmkC{0Y6&W%7EAzq$aFwtqx#XK7U{oDYNb{sth%3H5CN^$s;%CttuZ_0mx~bIqI=?sh0vQKML%|66{|bEXby7 z)>Xw_NXx1+E0(@$xRz_jrrl?Z0L;d$%+9RLZdNGVEY4oX&AMkcHXFF2U6A@K#JFE9t7U<|7#lcZE>z`%0BC4mWBwVuIjEX z>#iO0In#Dd`4oU$n08w(e$9X<#BuJJ-E>i(|t ziU4g2=xyaK+5+t~;;xojuk!vMX*{pSu>1n(LD(L3nr-_{XX#ZqOaSQ1_+EW374=5mvHydp267fY9?^Ei0``j##Sucimnm|x&95s$E)9x)Op|FII2#s@U96F)H&Kd}y1Z7+_etNw6( zR%5fWYzQ-P6n`-kPjUa|1ejv4<8E)`VsUqxMhCR98^19ezp)qxZAc!c7s_x9o38_# z@fw##9RG0~&+!M>@p!W3Ze}kUzi`F|ai#qQAU|>&3o;Bt=5a3QAyevo^6>(zFBdb0 zX?OrAhq5S-vM5XPBEv-)S423%;_>FOnXu*OF|yYB1u54uDTCH1T!9u4E07K{C0j8= z=%Pm+Vk>j9l3a2c%kuEu1qU>D`;C_#3tTRD3 zb30Q40SweAgz5qBu|V2$W0G?sQe-jjvj&AGabmI>C#z{}fJc8cNQX2?AM`?M9Twm(~AVJG&&fagzg|8-Y4vR^>9XhSymLX-Gv^C?&MO8?_MWA-ltMy`!Hg0DC{hH8Z>n3F2*%%cgrNg;%)*oQh$|cWB>+WKyH(EKs8GN zOD}PgF>tGLC0^roFZZ_`cO?dPUDI|Slg4wOH+rXcdY1+jM666E?f?Y91I!yGC;~=R z=!RM_2ESoSb2CIA@-TOI1ADhzzxFaO1$tkAdOtTwpm%9lKowNLd-FsU1b`Ok0R#|0 zDM3I`4V8@gMUR5lkJ=_%e?=+-xNvuZfa9?%^RrjCOld4QgP(VUpSN<9m{E8LK}bRX zOl;8K@|F-Q$nKa463KPsVl{ zJGNgtwfjW6yZgGM|9iZvd%MGXz4OGo_e8$q`@GwGrr-NP?0dlXI|&6kPv|%$EV_?t zmbFHyq7yv71N^{CJYhh5#Z!Di2>iwWJI9B5$9w#;WBiU=e8!V}$&38gB*Jw;V;*o6 z0X!UkTzH0Wc#nDb-Qc-jY4d$hZ)K*G1-^B*`Gbyr@h**J=?dv+rK^B$GzOo zJ>A#6-QPXl=e^$VJ>U1e-ycONY)FrRI0S4+mh(k>lN1EdH(!K80c4Z`&|Y6q0RYG| zU+5b{^F<=`|8xKZm0xTKhgkmQI|TuFkzYsx1;qE@D+MYP{;ygw7%gNL>4?i znnj~e(7u&cLIphj0GtB0_5|-|xdk|d05la+6hBX3y{USb>u32XaEQwNJ!v$My-t7t zWOGtzfdyp2uinK2*eiw)fY0{?qU^yQP)FzTMKczF=r09;1rhfrg(3{V1Qgj8v?N~u zgrYC>}b4w~c69Oo5X;fyyECmKsDY`T2DF_1- zInDVM|7=*XW672^Th;)DgafFYJ$jasA^@o1A{21ttRwsfYmV^c@jD1_RCjcy9-y%$PGi>LCc>s9)DmwGQ(@`lU8lVR==d2J4*S38d zcW#B1-fDHr+Uy9GYWL=a#AFWgE3+LomjHKcLgaq_2DlAf(Dnkdo{1VKsAfyYS z34g1Lf&pqAtCBtPus{If$Vw#6_xw6bkpQw=FGC8tB=~OGB6+! z5>mRxk~|W$NfD|9!xf#3B&Z1pQ1GLp@({qZD_yeiGu6Uel~pi#o9)cA(oDs+2Nol1 zBph`Gpf1YD8sJt+LK)yJ2qiOX0E!Tz;zzS0@hAd8>GQ18X7OCtQ7f&YdG%EIxNaL{vP!72P zAj(1juF2X0qAdzAz~QfS=GkX*A5w{>oOcGGXO9%gLkrE?wrFj-ea7@PuF~dv?z$tf zVCXz1IPRmq>n6Ei!r4wllBZJ{#Q*{ZmzndrMa6Tvfe~K9bs(hhTJuu*dQAwJ!c>eE?30MC#=yz}fTs_1~ZW{{8 Date: Fri, 31 Jan 2025 16:24:17 -0600 Subject: [PATCH 18/25] typo 300 to 100 circuits --- docs/source/examples/pt_zne.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index ddbf40a6f..a999bc158 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -235,7 +235,7 @@ for circ in twirled_circuits: print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` -The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits: [3](../img/pt_zne_3_circuits.png), [5](../img/pt_zne_5_circuits.png), [30](../img/pt_zne_30_circuits.png) and [300](../img/pt_zne_100_circuits.png). +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits: [3](../img/pt_zne_3_circuits.png), [5](../img/pt_zne_5_circuits.png), [30](../img/pt_zne_30_circuits.png) and [100](../img/pt_zne_100_circuits.png). ![](../img/pt_zne.gif) From b39c321524d5f6e7236d3d4580e2a0520e3d7411 Mon Sep 17 00:00:00 2001 From: Purva Thakre <66048318+purva-thakre@users.noreply.github.com> Date: Tue, 4 Feb 2025 16:25:58 -0600 Subject: [PATCH 19/25] Apply suggestions from code review Co-authored-by: nate stemen --- docs/source/examples/pt_zne.md | 31 +++++++++++++++++++------------ 1 file changed, 19 insertions(+), 12 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index a999bc158..a8a123885 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -16,7 +16,7 @@ kernelspec: # Zero-Noise Extrapolation with Pauli Twirling This tutorial explores how noise tailoring can improve the effectiveness of quantum error mitigation techniques. -Specifically, we analyze how converting coherent noise into incoherent noise through [Pauli Twirling (PT)](../guide/pt.md) +Specifically, we analyze how converting coherent noise into incoherent noise through [Pauli Twirling](../guide/pt.md) (PT) impacts the performance of [Zero-Noise Extrapolation](../guide/zne.md) (ZNE). In this tutorial, we will: @@ -37,7 +37,7 @@ Noise on quantum devices can be broadly categorized into two types: _coherent_ a ```{note} If $\mathcal{F}$ is the average noisy gate fidelity defining the success of preparing an arbitrary pure state $\rho$, then -$1-\mathcal{F}$ is the **average gate infidelity**. +$r(\mathcal{E}) := 1 - \mathcal{F}$ is called the **average gate infidelity**. $\mathcal{F}$ is associated with evolving a pure state through a noisy channel and then returning it to the original state {cite}`Nielsen_2002`. ``` @@ -67,13 +67,15 @@ $$(depolarizing_noise_paulis) ### Pauli Transfer Matrix (PTM) -Let $\Lambda(\rho)$ be a $n$-qubit noise channel with $K_i$ being the corresponding Kraus operators. For a Pauli channel, -we can use $P_i$ and $P_j$ to be the Kraus operators in Eq.{math:numref}`CPTP_map`. +Let $\Lambda(\rho)$ be an $n$-qubit noise channel with corresponding Kraus operators $K_i$. $$ \Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger $$(CPTP_map) +When all $K_i$ are Pauli operators, the channel is called a **Pauli channel**. + + If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, Eq. {math:numref}`PTM_expression` defines the entries of a Pauli Transfer Matrix (PTM). Here, $i$ defines the rows while $j$ defines the columns of the PTM. @@ -81,12 +83,13 @@ $$ (R_{\Lambda})_{ij} = \frac{1}{2^n} \text{Tr} \{ P_i \Lambda(P_j)\} $$(PTM_expression) -All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise. The off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. +All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise since the off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. -It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise differs -across the circuit used, noise stength, etc. The higher the number of generated twirled circuits, the better the result. Similarly, we get better results from Pauli twirling when the coherent noise strength is closer to the small error limit. +It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise depends on the circuit used, noise stength, etc. +Generally, the higher the number of generated twirled circuits, the better the result. +Similarly, better results are obtained more quickly when the coherent noise strength is low. ## Using Pauli Twirling in Mitiq @@ -217,10 +220,13 @@ there are additional sources of errors to deal with when coherent noise is actin ```{code-cell} ipython3 from mitiq.pt import generate_pauli_twirl_variants -# Generate twirled circuits + NUM_TWIRLED_VARIANTS = 3 + twirled_circuits = generate_pauli_twirl_variants( - circuit, num_circuits=NUM_TWIRLED_VARIANTS) + circuit, + num_circuits=NUM_TWIRLED_VARIANTS, +) print("Example ideal twirled circuit", twirled_circuits[-1], sep="\n") ``` Now, lets add coherent noise to the CNOT gate in each twirled circuit. @@ -325,8 +331,8 @@ from mitiq.zne import execute_with_zne executor=partial(execute, noise_level=NOISE_LEVEL) zne_pt_vals = [] -for i in twirled_circuits: - zne_pt_vals.append(execute_with_zne(i, executor)) +for twirled_circuit in twirled_circuits: + zne_pt_vals.append(execute_with_zne(twirled_circuit, executor)) mitigated_result = np.average(zne_pt_vals) @@ -397,4 +403,5 @@ You can get better results if you control the number of samples in `noise_streng ## Conclusion In this tutorial, we've shown how to use a noise tailoring method with Zero-Noise Extrapolation. -If you're interested in finding out more about these techniques, check out their respective sections of the users guide: [ZNE](../guide/zne.md), [Pauli Twilring](../guide/pt.md). +If you're interested in finding out more about these techniques, check out their respective sections of the users guide: [ZNE](../guide/zne.md), [Pauli Twirling](../guide/pt.md). + From 05c57fdc06e2efc1d0499df5a20273462d12e7c8 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Tue, 4 Feb 2025 16:49:27 -0600 Subject: [PATCH 20/25] remaining suggestions (nate) + remove links to images in favor of gif --- docs/source/examples/pt_zne.md | 69 +++++++++++++++++----------------- 1 file changed, 34 insertions(+), 35 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index a8a123885..e6b1086d3 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -36,15 +36,12 @@ Noise on quantum devices can be broadly categorized into two types: _coherent_ a **Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$ . When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. ```{note} -If $\mathcal{F}$ is the average noisy gate fidelity defining the success of preparing an arbitrary pure state $\rho$, then -$r(\mathcal{E}) := 1 - \mathcal{F}$ is called the **average gate infidelity**. - -$\mathcal{F}$ is associated with evolving a pure state through a noisy channel and then returning it to the original state {cite}`Nielsen_2002`. +If $\mathcal{F}$ is the average noisy gate fidelity {cite}`Nielsen_2002` defining the success of preparing an arbitrary pure state $\rho$, then $r(\mathcal{E}) := 1 - \mathcal{F}$ is called the **average gate infidelity**. ``` **Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. -For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel. As shown in Eq.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_paulis`, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. +For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel or approximately close to a Pauli noise channel. This conversion is determined by the depth of the circuit, coherent noise strength and the total number of Pauli twirled circuits used. As shown in Eq.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_Paulis`, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: @@ -63,7 +60,7 @@ Thus, the depolarizing channel can be redescribed using Paulis as shown below. $$ \mathcal{E}(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) -$$(depolarizing_noise_paulis) +$$(depolarizing_noise_Paulis) ### Pauli Transfer Matrix (PTM) @@ -73,7 +70,7 @@ $$ \Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger $$(CPTP_map) -When all $K_i$ are Pauli operators, the channel is called a **Pauli channel**. +When all $K_i$ are $n$-qubit Pauli operators, the channel is called a **Pauli channel**. If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, Eq. {math:numref}`PTM_expression` defines the entries of a Pauli Transfer Matrix (PTM). Here, @@ -85,7 +82,7 @@ $$(PTM_expression) All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise since the off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. -The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. +The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_Paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise depends on the circuit used, noise stength, etc. Generally, the higher the number of generated twirled circuits, the better the result. @@ -105,7 +102,7 @@ from functools import reduce from mitiq.pec.channels import _circuit_to_choi, choi_to_super from mitiq.utils import matrix_to_vector, vector_to_matrix -pauli_unitary_list = [ +Pauli_unitary_list = [ cirq.unitary((cirq.I)), cirq.unitary((cirq.X)), cirq.unitary((cirq.Y)), @@ -113,34 +110,34 @@ pauli_unitary_list = [ ] -def n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def n_qubit_Paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Get a list of n-qubit Pauli unitaries.""" if num_qubits < 1: raise ValueError("Invalid number of qubits provided.") - # get the n-qubit paulis from the Pauli group - # disregard the n-qubit paulis with complex phase + # get the n-qubit Paulis from the Pauli group + # disregard the n-qubit Paulis with complex phase - n_qubit_paulis = [reduce(lambda a, b: np.kron(a, b), combination) - for combination in product(pauli_unitary_list, repeat=num_qubits)] - return n_qubit_paulis + n_qubit_Paulis = [reduce(lambda a, b: np.kron(a, b), combination) + for combination in product(Pauli_unitary_list, repeat=num_qubits)] + return n_qubit_Paulis -def pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def Pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Define a function to create a list of vectorized matrices. If the density matrix of interest has more than n>1 qubits, the Pauli group is used to generate n-fold tensor products before vectorizing the unitaries. """ - n_qubit_paulis1 = n_qubit_paulis(num_qubits) - output_pauli_vec_list = [] - for i in n_qubit_paulis1: + n_qubit_Paulis1 = n_qubit_Paulis(num_qubits) + output_Pauli_vec_list = [] + for i in n_qubit_Paulis1: # the matrix_to_vector function stacks rows in vec form # transpose is used here to instead stack the columns matrix_trans = np.transpose(i) - output_pauli_vec_list.append(matrix_to_vector(matrix_trans)) - return output_pauli_vec_list + output_Pauli_vec_list.append(matrix_to_vector(matrix_trans)) + return output_Pauli_vec_list def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: @@ -148,25 +145,25 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: superop = choi_to_super(_circuit_to_choi(circuit)) - vec_pauli = pauli_vectorized_list(num_qubits) - n_qubit_paulis1 = n_qubit_paulis(num_qubits) + vec_Pauli = Pauli_vectorized_list(num_qubits) + n_qubit_Paulis1 = n_qubit_Paulis(num_qubits) ptm_matrix = np.zeros([4**num_qubits, 4**num_qubits], dtype=complex) - for i in range(len(vec_pauli)): - superop_on_pauli_vec = np.matmul(superop, vec_pauli[i]) - superop_on_pauli_matrix_transpose = vector_to_matrix( - superop_on_pauli_vec + for i in range(len(vec_Pauli)): + superop_on_Pauli_vec = np.matmul(superop, vec_Pauli[i]) + superop_on_Pauli_matrix_transpose = vector_to_matrix( + superop_on_Pauli_vec ) - superop_on_pauli_matrix = np.transpose( - superop_on_pauli_matrix_transpose + superop_on_Pauli_matrix = np.transpose( + superop_on_Pauli_matrix_transpose ) - for j in range(len(n_qubit_paulis1)): - pauli_superop_pauli = np.matmul( - n_qubit_paulis1[j], superop_on_pauli_matrix + for j in range(len(n_qubit_Paulis1)): + Pauli_superop_Pauli = np.matmul( + n_qubit_Paulis1[j], superop_on_Pauli_matrix ) ptm_matrix[j, i] = (0.5**num_qubits) * np.trace( - pauli_superop_pauli + Pauli_superop_Pauli ) return ptm_matrix @@ -241,7 +238,7 @@ for circ in twirled_circuits: print("Example noisy twirled circuit", noisy_twirled_circuits[-1], sep="\n") ``` -The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in pauli twirled PTMs are shown below when averaged over a different number of pauli twirled circuits: [3](../img/pt_zne_3_circuits.png), [5](../img/pt_zne_5_circuits.png), [30](../img/pt_zne_30_circuits.png) and [100](../img/pt_zne_100_circuits.png). +The twirled PTM is averaged over each noisy twirled circuit such that the new PTM is close to that of the PTM of incoherent noise. We skip the step in this section as we require a very large number of twirled circuits to demonstrate the desired effect of averaging over multiple numpy arrays. The variations in Pauli twirled PTMs are shown below when averaged over a different number of Pauli twirled circuits. ![](../img/pt_zne.gif) @@ -320,7 +317,9 @@ print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") ``` ```{caution} -It is worth noting that Pauli twirling's goal is to tailor the noise from coherent to incoherent. Depending on the noise strength, type of coherent noise etc. this transformation might not give better results after the Pauli twirled circuit is executed. See the plot in the next section for more information. +It is worth noting that Pauli twirling's goal is to tailor the noise from coherent to incoherent. + +Depending on the noise strength, type of coherent noise etc. this transformation might not give better results after the Pauli twirled circuit is executed. See the plot in the next section for an example. ``` ## Combining Pauli Twirling with ZNE From 87ec3f49ac62fb100df2face54cd5de93bf10a1c Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Tue, 4 Feb 2025 17:14:43 -0600 Subject: [PATCH 21/25] erroneously capitalized Paulis in function defs --- docs/source/examples/pt_zne.md | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index e6b1086d3..6b8eeb655 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -110,7 +110,7 @@ Pauli_unitary_list = [ ] -def n_qubit_Paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def n_qubit_paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Get a list of n-qubit Pauli unitaries.""" if num_qubits < 1: raise ValueError("Invalid number of qubits provided.") @@ -118,21 +118,21 @@ def n_qubit_Paulis(num_qubits: int) -> list[npt.NDArray[np.complex64]]: # get the n-qubit Paulis from the Pauli group # disregard the n-qubit Paulis with complex phase - n_qubit_Paulis = [reduce(lambda a, b: np.kron(a, b), combination) + n_qubit_paulis = [reduce(lambda a, b: np.kron(a, b), combination) for combination in product(Pauli_unitary_list, repeat=num_qubits)] - return n_qubit_Paulis + return n_qubit_paulis -def Pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: +def pauli_vectorized_list(num_qubits: int) -> list[npt.NDArray[np.complex64]]: """Define a function to create a list of vectorized matrices. If the density matrix of interest has more than n>1 qubits, the Pauli group is used to generate n-fold tensor products before vectorizing the unitaries. """ - n_qubit_Paulis1 = n_qubit_Paulis(num_qubits) + n_qubit_paulis1 = n_qubit_paulis(num_qubits) output_Pauli_vec_list = [] - for i in n_qubit_Paulis1: + for i in n_qubit_paulis1: # the matrix_to_vector function stacks rows in vec form # transpose is used here to instead stack the columns matrix_trans = np.transpose(i) @@ -145,8 +145,8 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: superop = choi_to_super(_circuit_to_choi(circuit)) - vec_Pauli = Pauli_vectorized_list(num_qubits) - n_qubit_Paulis1 = n_qubit_Paulis(num_qubits) + vec_Pauli = pauli_vectorized_list(num_qubits) + n_qubit_paulis1 = n_qubit_paulis(num_qubits) ptm_matrix = np.zeros([4**num_qubits, 4**num_qubits], dtype=complex) for i in range(len(vec_Pauli)): @@ -158,9 +158,9 @@ def ptm_matrix(circuit: Circuit, num_qubits: int) -> npt.NDArray[np.complex64]: superop_on_Pauli_matrix_transpose ) - for j in range(len(n_qubit_Paulis1)): + for j in range(len(n_qubit_paulis1)): Pauli_superop_Pauli = np.matmul( - n_qubit_Paulis1[j], superop_on_Pauli_matrix + n_qubit_paulis1[j], superop_on_Pauli_matrix ) ptm_matrix[j, i] = (0.5**num_qubits) * np.trace( Pauli_superop_Pauli From f0a9a6d3c2d95e3992e6ca0e3063c5c2e6382ba6 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Wed, 5 Feb 2025 12:19:28 -0600 Subject: [PATCH 22/25] some of Alessandro's comments --- docs/source/_thumbnails/pt_zne.png | Bin 71276 -> 68749 bytes docs/source/examples/pt_zne.md | 30 +++++++++++++++++------------ 2 files changed, 18 insertions(+), 12 deletions(-) diff --git a/docs/source/_thumbnails/pt_zne.png b/docs/source/_thumbnails/pt_zne.png index 6f71364865aa3f9d818cc31f8233392733382f77..77a1b1b808f409ccaebc46e764135ff21a9fb7bb 100644 GIT binary patch literal 68749 zcmbsQbyU^e7d;AtqI7qMba#h@bO}gHcS<)XAq`3^4Fb~LCDKYr$DzBs4{`T-zW4Wz z`~GwPxnn$MJdShVbM{_)tvTnKYZIxiDu<3jf&vEzhpr$mqX7r^EF2CFegx?ycxSIP z9|Ha-Ca`{ey$EyMwJ6m8Yevo2|1G54#{c7b}&GyZZ+>VGa(* z|KAU=JG)wQjF;hxf`=e~kk@mAgTpk1z2JXJ6xqVT!@()YNNRa!94vZyCvM*TI(4?1 zX!qK+IF9{;BlFgU3S$9DF8&dZFfQMfj4_G=PX=BROKZUoH6kxB@1R`{wZQ#2`S$)1 zNr7};YP?VZWpum6moMOaE8v)Se}v~qjye=eK7m#N{D+fs;R*M@e)aE zL}}Qk3ABT%^x^;a$C=6)bpLx(Np(S-I}Z=l z7y6Q+7Le=BRAZ;<=D>$b9Xym5osW0>w%1}$_vb?3mF_`d?XyOfRTcQ)J0fx{`t14h zw~TlWb2YsXYCdK@zGR3~>oCMLWBl;}+Psq&jf9T=CRhDrO2^peU}04B91SJxxB0dR zWOgY?9C}boKv}9cxY`wh*nB=BqM)WGS2Tf*gY$c(E94uGH3lCa9~*|EU4Y-!!D<7< z>D8-OA#b7yPPfvXeMNp~3j{sh6VQnX2?>dw5AldYyJ&@u!zlv=Uv;cxqQ}U-nlbWY z>+S6w$`VVr{G0MMAz`iF8|;Mx78OM$rFH^oCFL~EPlu4k^ZWDBT8BCAyX)iQ!!K<| zVT48}HVF$Fl>R61l^u6>`&lwgJFUkZxQ~yIG_0)33tr0sYr_J|cp#|wGsZ#f|7>{I z;zW)RZ)rMB#B+Z$bYlsy^ana@c_N{6Tyq$oi0x&68HD6b?yYAgO4asO66}F zG2x7upP%1C+Fb=KV9QpvT)HO(c2KYm2OmOfRg6CL<)hn%U((BgH>t_?O3inVq=DnYo|>O~kB7?|h0 z++j9RsDja$&1o8pgocKPh)ID*_}=|15)u;D>FKH2e4XuYvueQu5w|U6m!szGsE7!p z+=*S8<&FT-;Tm|CQL*cY>m@%m_rv*jKd0~r$K4JxWJh!aKvBTbXkNYQRS{UEt*NagZRePqn_K(CQi%t)OvB8q zD0=Zv8iS3ph}(HdbgbT92ewfV?I!3^>l+1y$nGc74>!d@K_s<)*G?{%Q##QnCm&X~ zw;Ap(_Zd1K@9d$MK0ZFM2cdynS`F$5dJ4qG!lJ5ZJragCtagV-J1w?EqLcDRxQ&YG z?6?a91Yia^8vAm)yu2J=P3$shU|;}Czg(M^jxJJ;!so}Bb_=MSNciV3XAK&{G02&< z%XG&!0vhUn;^E^*hEw>;yB{yTM|k-%YGuX5<+PVDn$4hLHr^2`>v@DcWvxeZX&I5yUtLB~$4Ec^+TYHKumc_-jI zr>RtayyZiH^+*O20lT41(DB}KXQytX(<0M4Zr+iPncs0uHMvsJ1S}d6%Rx`=V^5{E zqt|pwDG}JOWFvNVY+##9Wq*Hg-6(EtfRQO?;OYQ(&@z8R%*dFeu3}P)*%Vx*H#SP2O z&L$Fa{V~xllFsjlLul+@jf8ooz-^S2(I@{+v?FvJt zmzWf+Qqt0IOiXfiW~=jIMMi$*vgx*B0lhlJUGIyKCVF> zYIAW~C-%9)+v{k7$*F1eB{l&8z3=srqr_E><==yAAyHAo7)l8vG9lNV)%%9g)=Uwv zC{UWlH&AGFXeh$zxDp3n1RoENreWaiCJhzUYZ*DYXhaI{*Q~}J3#($5Hz%tq;&Dgb z6mv~UWc1*h0SpvfH?~(*HgAz|fpT%#FKSD6Ac|9uvS2zt(CP2Y?^m>kvW~suuTM8d$m4*-rGd`JDG`4W}Q@ zOsN$*wVld>jOa~b((GC5jqX+AXs2cGymvia@;jcp)@yMuhU@tV|Gej5uC~`aUX1?! z;o*&)U5WIXRV&A0iwABZy$X(V+v(?~yS-9!@dMS~D+>xfyCiRb#JwAXiD8NbIL}|A zRe5>&-)^R^m6TTCd<3N|&;tVAGhJ?wF1i&*E+S)N^K)muzSMiSAhl4$@l&oM=*K$$SYN@>!rzUk}_3%Qy9);DVeDwrzZ0tgB#Fc+|*sHgjF zi7RMEQWCAO*AZ(9n*lxS1xvQjs=yUX3yX+;3O{95!zOi6pa^KVxZZ|-{u~7=0GYZB zxxaQ)oCOY6+K|AQ5Jb#*%EmkAI)dmoF=Rp-K;pPS4;!PK-L|9ta&#KPt$jkI_z*#k z)$V(V0}y?!c{>Xi5O|5ani?TIJUqrzV;}7I0BF>AUD-|)A}1@-xw^S!cEn57i3+tn zTtUM0%L%*|T*7s$Og`O=20gw40*5>+2nMX8q6=B99Qt+gfJNWA?~ZRKU0;Gk!umMd z5zrc7P-)a2s!@zLW9SwekbdaX1U4XhJYgL4K*!#8A_YH7*$=Q(=m1irMmg3I;0Me3 z$ft+nAQ)f+z|CyGxEPBjD0vQk`u;eXm=yzEE3=31@ z{)EZ-8mJY3E8bFYYaP%dH}A!k?_|Q~X@D5sg@%Sk0K7cCS&xqnLnVxoqYTix*cs~% zd_Wgipn`*aE7Yy1rbYv4j8kX`AT$618bLu_STu&d^Zk9yD1TbA^;^2woshfOpHYLM zGYr9D<%~uqcvAPYOfKRX0Tc(+Zva++p0k%c;Bps!?O4Q+H}?;_|2%2(AL%#mafX#;_q3F+H{rE z`Bl(}IA2>>S)qXZ$%4V4u=~%4(|bT6WNYB$OJUjCdw+Z03+go#OA7XzAd|QP@4dN# z9{sr-=XtU5@uybAA>zmL_4W)$olk-Pec-ww4w2U z!4Ek*Q>Cfhet-TXv%EQ8YKMWjm=R=sc6|G7fGR_{rKROF!NU;KTFbu#@DV_9FPcKT zF(p{xPC@d{HqPmLIABI#NtNkVOTqnKUN*L{w47_?Fl?&oO0Q%?ZU@ri5CY^O5sy{O zKfC(8oSa`B?JX_y)D$6IR4~mW8%MTVMUJIdpmDI!T-y}@f`^8Vj(@%2rk41G3Vz7U z%uMF`Xpy|n!2f#D>lqfHe60}Z8PHY2WZhRL*@}UI9pK4pdC}~y@>$ye0^zDH263SL zki?G1r$Qz|!w;W!#`43v8+oI9X<&sumMe`I9^edve4sS04k6Z*>E}S~3muq4x6XmK znQh#?^c`#Ua>mBRH4myaYH;|b&YWyE{GAV@(HNYkH0l-T6v9B^=)CuM7gB9>Y4Ghk ziJPv00c6E99Fvj&C^wAw?&3bOtou(F;K|6Z!Fes3cG_1o%fjk^Jp|nQV|vJTZKi7GTYVD_K-&)-cVkb8FxM= zT_0N9-riyuCxE5^wh#b#lgTB>wvzOxL4T1Hhh4)zrJIzwX3eFxayMP$_eOmq-JSGRlg%!W+C{2Nr(#?b|o00*%P+?4Tu6!0s^Y^PF{pw)uhN zID}mIwns!q`mC%*mw!SBp04s$w*{SYcSSk z#8b`^B@XHORr0R%0P^tgaG0v3sL05|V!rb)*I~Y{xa;&YCZ+03#d|e3weod=$J=d6 zS65e(_Q3AX=o{PHZeX<{F>)k4R%k$0IJswRz4uz&Jh}dtD^1!ydReYtj{+VJ2-C2-y_RgB3`(b5w==yGva?5l+K0aZa&33K02M5y zA-l1v>dV(xa?h%KFYVwu?)F$%2~c4&yZhl~26Ot#_O^9r=A1*}&z})FIaIFD@eF|d9$_*4)VJ&f z#K?T-enl(5imSuMMNiV)+*}N(Fw`Hh|GK)Sh8qPHl~~+g5NN5qva+E9BA6DYY)p)I z_M;>gc4wTLngXh)f73gC-96q`QWC!N=}`pe9oL&7`0XV*l5+rxoF7(RgKsxmCcwk% z>3n){=H}se#B)^b@$E^Ja6MkA1*U&PN+8TPsqx0TBe|+9E}xN8UVpEeY$sw zo9La)7!@Fexb1> z@b-t?>Bk+=IJXfY#7tE=85xAJv9Y$(KGN8Z+`@u_%p<2~Cm;avfIRx&;T?k`XixmW*j)saL3ivRrI6t!SBNH+NE@2V(nc%88DCx#S*>U zNCdiCX1=l83~%iD1Nyx!=y2Q}~?kN7x3 z=SKWaRwR=Y3p6AB%|Wngtw#%`!!bbP1(@=UyE`wW!O?yikxiEp$obHh#)Uu?n{{?{ zBxXOYESOW^O4mXl^suL|&lQOFa{wQL zv{4mp?5Zg#DSeI%NHyh9GqF8kR}ijw>w>mwU|>IP^k^0o|jS5 zgG_w^AkzHt{p%vm=0WF`PwgU9Ah`03zsz>@MyS zI|X@X0NngaR1+Wkp^)ee9F&NNh}XqhX8?V9Zyl!>_0L3MZsIpV7aD^Ghg`4YCI7QQ z2Ez|sFJ#`lnY*?f4A5f4i|sSzPbYtD&}9W3$O&L<0beo*A%(%$X#f-H&Yce__$=C- zw&S!$KAZTDk5FgO*nN+&9QZ=bs$UlYva%WmTo~k0Qn@DJ%`&~(&!EL*B~Xe^l=kX4 z7W_N64TTwwE5WEc3(Y)W@p?6 z`t_4)kvTAsKs)nfdu2Z~w_Ok`K%uE~YZg;ZoY>hZ0fVtpoysjBXsvJ0HvK{G3}d`x z7M(neV*Pue6TloFfb)8KIb&Q4A`bdVajT)UF5o7pXlNu%xJ-k9sx#u<0|_4c7^E7= z=6&bl(SK|BT{CdbG8N`~)_5N3hqJHr0iVgFS{GzX=Ys*xYa=6yf`S4k4l}!IT|xJq zFAoreU%+sJJ7CfA2XqOn9$?(8s=Jy1W?~Z$^7j`7(nbLG0>bCw5RwWcK$a4Fb5Ec# zkcalpD2;QiUX_qX!pl+3&Ue5-{BUz(DjQ3(dB)|~KW4+Lx)=!d2h?^NXcCgHmxHpA zap_M+C7yU0jlU!&PUO)38jRPGm3;{m*=8^*yWnPOOiT>YHYkkMf4(;RQf}MlK|tp$0OfR5u^9lpf;A{2 z2kQp`4$9u%-ua8z42?(@78X@@Q_R4;IG7|X1xOkWd%<>vDSq=Y-KixqUi=QGxZ4LI zvk4v9fp?LY`!naW=JD{H4zrvvqt-9l9T>B!K2B=o<0gI?*T>7pC-cB51wLw;QM>P4 zqY%{p3FyAD{Y$_L0vK!vMSDgf_&V|1d+S$#VKlU~{wp0=Zvw#t23(o9V@80H@ZT#V zua=isI?ISxM~e`XR*_{yU>6`GA=#XXDi(}88vh`j7#|fV&=`b4BkGm5^&nr49K>(;iso2MTHAyt6a7$HwgCU(R;&<8g?H1`ZpSRgH{{LiRB!L`{s4N)CggYZSw_g%~9%xutO<5TY z9F90DA^Qf|K9oG5cK2S(DaDO+HBgYm&dE$lZbMW+5eFpke(lDv9GJ?%QK-XNp7dGOz8@S?kJFn{W z*+3KTG21@}olOJzdv!3kexmEV*pe*qbU$GVQ$QHCb3?#Qomn9QhW%p@3lozqRy13& z#Ct+ZeSH!T64=x8#|FSa1Kxhz8;~e0>qmsPGbW}r+%~HnB0=|qOHMu<`~sDe2<_?+ z;G1WNn+Vjuu^wgei83WQnGdQ|QQL2Sv_3t1ivIHX`Sz%@b{qeQI7cQv_&tzrx-}Na za&crXO-CEo*dHDPOn`k<_P%wxqr9XfN?_SPadL9f3Nx%&tv~~2io(!G1TFW^-@of2 znBp*qyfQT{&!x+D2E!8chRpj6*DH^)G@$C0=@YvfD8zhow3x}w9QSH-nSlQ%U7!Iv zzz{A&eV0w9)SoI7s&I?5Xw8pfdHL`1WD-CTxtLPG-sE3mJ*zc~e# zNf@a0Cp* zY*r%~@)BkdpMkN%c@M7IY-?>_3~@Ion5LVx=w_gq21iG&m)d;loR_m4Aq{-{Z9v%r zbH!ztZ{}aA4hNtL-FiFx{h7+`WE~^;vT`Sm_6r=KC@lccFMQ}m-`L!Q`Boa5nm#98 zh>K?u5pi)_K(SbZ*?^({X|JJ6FaE(|YwGR!Hjl|KxN!LDiZlUd3hB>ixu7@~Ky&e< zs3FNp5EAlqUtl%znDrnP zs%9!$SE@wqiR`g_If0!&URUD$R^vYufJGDy z-Z`%fdWgQi_a|W0eGSZYvX?CYD>J}(Cld2mRe^o8x9rgHlAuGckGDa=T8?B08M+Pg zwSn;uj*8sj06xl8dU*(cN~tu_=xhv3ySYYZO5lF2 z+s2zhpSglg9#+{P{=fixuyx*Mj+N~O(SVH|iG^HgfnM7_S?y+h-%{80v;-8w8^ZUY z+NGOke>t{+&+((CCIL(yfrl}%L)bLoa^*c7umJNves_0&<1~E+T2M-quwY>D)i)^( z17W}dgFMi`NP*eWEr4tlfCix5_J4Y~zOv+T9L+4&EP|;*pvs!=&;F9K#oPljI$aH? zbRDEi{Q#DWjg8#}D+4gMxdr1%Qso@`3IO)!AShfG16W5LP^U>dK7gPyl{4p{KNw}( zwoz0PU(O1+(hGcg@B)P)t*D3s2p$$UFnfX0Qdk=k#)2a>P80RvhD}F7OVI`x_~#XTV##8mx>R92hXUyVwJ!Wsk$HbTWJE-nV125g|j1#%tcbBZL@-yIxJt;}be~8w_6w zB_1vkAMO?w47sd^h_K1X4%B6TG&E?##)UNE;zqC`3e3Q-x1ZtHXI=-m+CcawT$8Y? z;^$8+pnr1Y<>j%!3PDq``oEn?E*2)GrlJM~1;GnW&eXYp60P?KbBT6q4vGcfXH}c^ zM#&!6Voh_i!IlM^dIO^uz`V5R-A+CY1A`pc*|c9bx5P zfsc5Cc0ReyirY;x!bbpSVb0Xg{Cd!WI}&__4roD9!=y}u95YKMS|Cf;_2TUKxawX#k*P(4Y(7$E&_W zfOxijdXC7ihXCDx?)-60fz8Q)`9lDDf0$_>h> z3p;1f;h+AK#*733Foe7EO_tKNr-6-dVYd=qchk(W`B2O;hMwe(H4VGNIt?&se5c2S`Cbn02do~?&+CIB zk38^kM86XSN1OkjdnnhW0#0OugM$}Gi|L?s2bm)Vw9$lxPt`Q-|GB`zK`Q3U8%@Zu z1-QE3fqw!_cVQSEK2;&Q8AIguf8SYY4k!CR|C}3ivLpn3H1PI-k$E+Xg8JWOmiid1 z;HW4R5bp(T<1-*hqzQqAShvS5^S_U?z=;XB7oN>2(}%NHm4EdEX{!A`?tj;8u9-ME zia>XVVZW%Pk~o-)>hOLLkjDQm&-~z*#Xxq8JMd2Zf4xcb|KV!Ryt}I)s0W}X#&+G& zNO&VW_NV!pk3k<2E0z1<2E0iTqy67D2CwVqHefIWgGZP@1B}l|08TK{0(T|S+kh>D z)E`gT_ymRmKAdL%yYaI;W0lygS8D}ihZm>InoJ9DTY-=S_ZdtE6X;ZyWOLQA2nns9 zB4cC4Hia&H#WpuLF(m$XN65N{{~H+z+Dm??g#q9!9zc>5>GEY`VS{0nr3%1zpo;(^ zrXM8xAV^C!pDaMoSR^ENPqs4^nUJH9{{@Xh!%yVn79%Tbj|0De&24mStR)!b#4Z(T z7OAr8)r4k=`Dtit_kjV&5Fm$s@FWFAMY{|Bc!@_r%|hksr}sui?6@*uKZA5nWKZF@ z23z^+jPmFTbZoq_lV7wnq%{@L6lKaC5-EE<>kIWK6+O~BDK#={x4w#k!G;ic9R_84 zE&0IICFl*#7TiYpd`TrFB<}C;Me*~%D&1ce^G$JEPmnD^9vU+#2Z*cuR|y?B}v0>uo*f3ly4?9`L2{6*!13_v^>^A3R_wdXt}eb}nSW4{mR)jvRX zX9!#S_y_^_Hz_$8+}j$@yMf(Q+n!3ZYYNyrbYPi%`OAa6a{ViOJn!82CR%h=lb9`+ zehlkULs}Swz>L5u?;-!2=MwK{dUVH&`%8oMK(RZPAj&7wpn8dDc72)39is|Flj_%& z>`CMy-*GUKDOOT{vz4(!M){?4yDK6IUMS)vu^`|hu|{c9>c<9Kgr#Wl{y@PmCZMym zlIQw1pv`piK7YllAnW~auE-dT7o4oLnOTy9jBoQ^e_HEl#$)6}{W+cfv!eX9v0s{- z?}FOX5n*fKvYKRIU~AzpeK;_axp3)~O;&%0ff?o(pplYcYFy0k3X7EVFBpg`0!x_3 zY6xxxAnj&`+ej{OD3VfAxWND%X842Zk_WDDrf`wJD~OCw)}Yzirzy-6gDdBo(g%>2 zG+1?*_M?Bhjp<*pcJG=aQ|l%-2Mdu}C+cVp2ywLwN$mQ6E{daP<}7^ULIF|$*FMX{ z`m0CH`c9MEjq~rY(03csyVzJ(>LuhsS|sWvuZz2Ws&n4nC_a`5OZ^o7*ytxA1C3B! zAw&zLo?f<-;3O^YXAwf{We8N<3#9BG=8bF>>+`#NQZ63V=Ie`OrNN^82f^m&i?-4R_s@H{iAS6as}PW)0O>b`%KX8 zxTC5ZEOaWKEYHD>kF4O}XIZ{`Okl>oyVxr5Hi+CV}A&Qa4k2KWpa z6SK&;Gw>dCrm75|VfeI-OznMiynVw46}Z<5WNrIE%~wc5VSFx#sEGOD!E5IHCa1r- zw$25^~Q$9TfJ?#z-#*BaXeULD`Q;p?-Evl#6Ll-UqFYa>JVfS$k<%L&I zZ&nvpoN4eTZ=$hrSepbg_19UFVU+!lF_(dRrq0azGnsx;@fAv#2kA$>pGeU*{s})f zgd7_-|B-G8V1m>d{od-sj@rm3Q>@Mny`PIwra*pe+RK%7^B_^iwt(`Bu0fUzO(&Gi1cCKL|0$+Fi|Q z*A-P7Cmibsy4~qIaI-26M{|EGVi0P(H04A|hrJ_XFI$s$;j{W%tQomuBBAjr2`vJm z+`nRstbJ5tTr?(=_~ipS^63l?)|c@$UD8()o$p@(wJ^W{eVkmGV;SR@<{oWD{f$8-%iqsu=DJv{$mpg{ z-i%gZ!L<2bQ_rJ!tT^G+@e_U-tgg0|mPy6G_{d^5y4fL~7#Vwn(Xd2k&URZ6esj1} zdGCAA@yI?ODao5r=E5wTB#I~W<&=pqKSH^Y-sy3bojkvztwhx6;Z)nT#1#N>7#$%y z4bp34Q^!HnxNiOr97WvW;X!_BhhfuCQ$0?&&5g(HHc8(L)&3#m&q-;&<%6Cx&!*}O zKHj5X;A?%=(|S{%dpfNMCsCiU5doL*>Y0t#nwP5#+~8Mu8N{T-pnJAB$|thgW*oRM zsW%oINH{nZuei+w|7f#^{QpHuBh${DPgybR6Q7x4$DK!# zIr*p{O8i)HgCbKcpGmDJr7-|szY z+aZs??P}^42EvvGFGrzybCQ z8MsvZZGpZvY{*w(r31ueI_2t zcJb^gW8J45bOaT+P+EP1t!McM<<^^@U9)cYiT#-H(>=Qmy?-uCgCgGbXDP&-dsi2& zz(W7lvdqk)^=q5!BMZrAK;udr0z)tmU$6qHR+LBSG)IX z^nLc&ZZ=A!Zs9?Y1&iVFdFQjCZGhVci`1X8WZh6c>Rks;?%cYVv3FB8IMA+t;koO* z2P`7L93_@y!>WU^4`n&`@AXtG+o(fVCIYh0##>TPG@&j!qpeN3=jb+C6<(Eh375_L z&HF{IoVsW+juI(;zRTVDof3bx?uX$PCO7FR_O7u=l0OHdh(Y3$Ys4Vm5srk7M!v4? z$;R6&Jrn79IYCVy5m((+7mrNCHPk7|lEYJ`uu961AZ2gwsyj=b0Qu)C!JSSTRpF2(4&u+P)YMY`$Z_`SMZT zK7nX)a0y4=-TEgJJ+zU~o8wrm0}18FR*!e5VCM&?T^A7@ueR^50YU;#-aNNcw-<3o z!+FsJe5G-wwvJ5t$tiFuA4QI=LVVE-$lJ+a{9lNDfq+uke#nYiZh{Deo{mfKRpasrF0o9XH`vCIq>i+3iDix9$HSS+~k#7 z<4;Z`okX%l21cD{>gI&Q6E+;J+}`V`*zQV@NjwT6BhPqq(I}jKOi;erq372klj)I7 zER3bH`dvA_kM>Tzi4x^XYSn1}IJjNie?VWY5~54Q9ro`g>z*{tWcqxu>)6|G8)A`S ztzlY5MNjoPjF4S)AGbS!`8jE=;;i?N&{#b>hrjFv(?p+zZ|IZeY0!E@ByHs5kaDaw zb|SMmTNpm$Y-~TqdnOh~ttCh>vKp$q9kWBjC@p7+r;#i1sOvVL;EGv>{p>HHZJHvl+0!UR$QdTS4-;dT=HYPd-#bgvTR1m6X3Dg&}^{qeaTG5QAj<+7-{I+%Fu(}fbU z#3`<%uU3vhACfTXdRDvI*TnO$0qLDV+;86!V&Mw~S5?6?CYPtCDK60g*T9Z`A~Hp~ zo<6Cr4mwwLO5*C)Nh9t=hK(K4PL@gA99jLcBLJ=;Qy#~6@pab=O`)630!DRCDyNS+ z-S#YT1Ul!}xir%h%xl@wy<{xqE=@-H8vj_BVm{eoU#OuMskNSHJK~FGc870g$fM!^ zC|Fc;7%D(O`0>|e${HE`U5y6MoIb|85;!Sozr-YOp1J;%YU|@fG?E)|8E3zim2R*o z$+Ej&KpJ@ZC1m;8;gVj}M<EB(SoU7-RAK8dM`A5~vEIOuBSq?c`pYP71xOBznB}y3O`}I~9 zqB4?QigtE214G}{Wbg2tKQk!Ag~CbGX%QNvmXtDmE}{9!9$NCdW%-h0CPm+QpAvqi z1AVs}{$~3|0xkphnAB3y|5Go`>^IGkV<_rPfH8b}T#{fJZ=N>u&J=r$+xRO%2C;-d zrd9DowCU8;r{{jxV$Wae&p+qp5>>ig;?Yc)M}manCI8V^QYptMH198(?O3O%sac}s zzj6(JCgRN_v+JPc{;!4X{hJCt_%fzqC8TuSt)nEIJ6+uF6D??=NAo@$5mAums4`nA z|Jiq8_siHWw!P78nuK(8A?w9=|&x`>DkCx%7^xde3Ya{nZsoWgRerrZ1Jte(4 zSyxwaYOd2e?O5pqIKdMhe}7b>QmR~zi}v2{aCdT(bRmz}Ij3IoSBCXRP4!b%*6yP` zb}teN)7XMlqh2L_In6NJ-Nue;r>soFQX^vO3l5#PM1|5NO+j-JVEIw4CuOzZ0UO3HYoinP z{Rt9P4n(lYj{2uT5keGJaFA>H;Oeg?9{aZ3F0E9oiiKo3J(b0qA*{^r*qP=;Q*#*N4?1Bi!GZXKOrg`0C|OX6PnbXA-m@q}b}o0q%_u@lAb$W5i<)<#fB)!I`I9 z9Jfn`?x)rWebXo|bSv7{>og_v@ma>9^uqu8wcCIWtcDKZUif*S-{9T#N0F6;r%yGP zEqs_s6gf=|M45_mz^o|uq)_8ZW4(9D`FPy8c{WjD_{U!5YCkXdzNyKNHPtiT`nA4H z`T@H*eqwQOIppX^jVmFE3T?YzC!3!jE$q+xtYh}Rv%>xE9__YZ&2KX!4d>aOC|=hr zcNK>^SbD54DpFI6*~~aSlZ$7!JYKREyk2*=LFQyz0=A zs$q>IQV3yeiDN^S9&2zXCjRN>mO1P4H>F+$OMAnIBHz!_Drn$ zDn?6S08#n9 zEHQYvE%L6hM#XpjxrH@He&H38Zvchx`(ViWml1AyF@GP1gL@qHUumhPzYZycEIZJHQ9uzj~L**jcFW)K_V$7h#4j^g(m9E%cummxkdP0|>r`dKJofWc4^4JUp@c z(Y(RE*AtqB~r96tzccm)$3RjAnH7Ui3isQ-P>^#++cRHDW{FV-j)bCq8hP^tW zUWKe(k}^gCkE}|4y}_IW75>L7;`pk-?ssIP58&3T2olQPPJ;zbOz36i))3iRt^i(*TmM5+(xc;Y;g}2-DbMHG*}q8W zhb;D$iba5AcVnnRd&Rdne=Q4p($oH67#quHV$|)*m9E{HbNd7tvF4wdcT=jDEPDaz3YzF6lG>-GsTG&xd!4 zbpMqCMx0}C<w$#|QoS6vDF$*$!xosV?rUINOc0E+wTmz$kdB{8IOv`~I<} zzE$@S^YEo^;;#)iDqFZ6sWx)Dm$jdUZ`0ug86L?vuU;dOWPJ2Hb}Qj1AvTA%uT+uM|`}U=sAh&Og??e0ICB1F=Nh7gdf9i+@~)R`rI=K3zty6cu%8JrAV* za2ov&+NW(iwP9gQeiQY=pq%Hr_D^kEof(dEY+!WLuO`{+N`CFyb`z0*cZ0cI7OVZ_ z{d#xS^agP$^NrVP$kuBsyzF}fetm4_+bH?f8Egg&Z;d*L)xV^8O4t@(4~+9BKtP4t zos+PbPo!;lCJu}k$$DIx#%%|xn*F}9%AQD0kxo9)7Kakqms#4Lc}gv@58UC#IaeE{ z@{?6$AetVEQcO$qKbg)OPrx-*tb5#lJ7l}U*)lJZyg4}mxgK_V2=33{MLL`Q`NNb#$ z6>mz7&);$_tpl0-$Q-q7O9aGQCu-N?L(l_GZcQauE4VX)$o7Pi0?V82;%H%*is@v7yF6NOaxdX{cqSx_9zK_z5ZE(5hUM2r}IAUEwEm=EhUjRE7Hb-X9ac z59O}s!u0OTE+f9;TF9E7@2LiTd0G$9vC4+xUmImR-)MYzp8*#Ae0@P@nX~j~lt7R~ zPZ4P?S6Z2Zdw3ev5m{Cjeml;;5=(*N*fHJTg~N>+dd;Y@^uZkgORpGzCIZ1Y@&RP( zd|M0q=H$dtsm3ifc>wj?+_8qHTix8YyRB4|zN);?EAm^!jynl^GonS}HNR~6mumM2 zy}tgUrsj6ad<)R?b|9=}T|aQU$qsd?y_=ySBqZt|A5*%W`4c1*Bk4f65H~)rafNpb zzo2>VtD`D}8YnX01#vz2JAbKwv3_(8ag*Fmt96||Eha+iby#v`NltDZv!PL={d{Eb zQY+y*O`>%1u*jlCQsP`feM;TN)Ra(Cfy0O*o!-eleS31dn(Gf_cb^|A(k;3w+3j^SJ-9Y|8yP)=ttKK-=n zujVREn+X#7Rq2O%02w*P8-79`H8If-E&Drz6p|Y;obH@kW5=QIh!=3zCZ}$K2un}8 z|I%|rS+;m|dKi+BB3i3do4nsghC;o8XlkGXSSTiZPby*`d41_(um@`;IkxiT@0jsF zM!q3puJEKUg~qSA;JKy|TsAue4L#E!+6%JVNc&9P>gnq8#M__jEhGo7V;pT$01!c*xi@6x$T!daKYxE>BiZ5d}9 zTn)ZH8#s1SP?lFC?fUQ>s#^@%eDMY>!b*OzzY^P4xaDvqwug;&@*`|Dh zIe(gJ_d)~WGCqRgEk(Wks&e5bl0fesU!RS{e~x83-9pJ=KCWqAvYK(@c5^KBq@&FG*|qV%tShdrVd3LBDI`gsUj8_8=*PCU z<0@S{_o ziG7VQr76!mWmK5Um^Q8tmf>$kKR)HSoS`O`{wawaf?mQoKYferawymIR=5_VAe#EB z>cY(=3c8)Bwl-&QTUVNy*=xQL@uep%(<%MhT1DNplYBzs0AQhsJ^FmXCpLq_xD@Hc z^8$x5X#IUg0-+Xu7vjvP4m6rvCs4!fMWka5NGeaFSy+9C0k0^jr+_@kRk zG1c`Q5mwq_) z82)lSws3|7>F5H2=-wT7FZY0oA?=1NO@iM}nxP+~3~%m@)m@2xYpmQ|OCGi+MuuYf z`>ZIzRqTC8hQvQST&=g&`D4mO+r#Y;k@l>oy06}=j&T9YA1|G6tLvqa(53>5wUx7wyK5o0py!M9;dhM5rtF!TNUN@mHHsCL2Yy5Jj3Ow# z;bq7sr>2Zxvgt)nR36U-M8SGL)(!+WvVp*16I>0rpLzr=Rt<@36|YU(?pz*D$uEHG zL4a~?{*D7u7rFkAz`n>`LP?4A!O{ceFDZ+S4+)S(nDXY%P4WK@+y39&m{`=>yCg+6 z#R5u#Xo|#QoLKsyf^&UVUk5h03T1itx$*;^M{oSVZx{sT6Hvw^tT_ty0AjNiZ`Qi4 zntBqWG*@cL`5XeuV;dK~iO%KTsLbgaUNCI%!uY!atZf9FO}TKMp)I?H<0jJD=BTQw zPZtNL^oj-d%L*N8;z|Ylr9zet4q7Et_O7!r3QP?i$>sg0{})qd85dO-t?|L2K~Myw zQKUO1B}AkVVThrmrKKAc5CsIJyOA7Hx&#EAp=)T6j-eZ=yXU?4!}X_MojG&P*?aA^ zp6CB~Yzn(6pCIDp%EViU{L``9Z?QkeRS*8+`sG#N-p_`ftZixdvHMT8LQnx+?m0ui zn>n6sHb&LQdA7~qccT_&1pL3m&Te$xPKJ5=_Y`@w!(mbZ2(;&uTE;y_-iuw-rAX;fZ`*1sH$f>iMgC3lXCJB)w3Z$NL$L8om@ z+1GtTT&LuZflPH_a%>dYzb?VD>ui!w+Kq=^Cyi+*?}OJYUL5p3oL#5nuo`IC)a?&h zUiA-_&C2$v9p5_)+joBzy)1}XqM>f8%zvlM$x<2|jK*VxV9o_lapReB{}%Gtf$uXW z-D^(EJZO9t3f1RN?#mURHR-1P?W(#eEy$sK+tXm*U)iJEn~qc(LP(&JoFzok>UyM@;Q;L?`#K#CO=+Yh8|H zb4ufmv0K3wNy?!}j%Gm}|B_OI1I&z9!0{Ms?(&KRyXx*YrM7LkktB(1$&daAOIf1f zU79t!iQy#Jpuzn;_0rKXgh`P*rp&*v5A$Iu4SXL;Swfg8tk}n&XQW0g%G+AX$VXIj z_IaIpi&NE}+uZ0t2o-5$U8R4%sU?*y_f_Bq4^Ll(rY*%mdBl)}i+X~jw{v-fN&`F!JFADD5vd^?JAb>K~c$4Yi-1^@SVStTXGWaL+$Gz;?-BI~UM z^NnKkqkZErZ$@D~cr5iRTPp3{Vpm-`YRwT+g?FKs6usE5=&{neJ;7Dz#Wa7;o_hS) zm6TAK${p#)Mc#ICW4=Fp(5$toYORI8LzUh(yH?w6jGp<;Uihx_sjaA|H93Spy<5`Ypl#I9z(TvsXsKAfmn^8Y34J2S@g+jwm|im6Z@Q}R6I_>VrjDe>V?5jZ zr6b(|?XU^_ssr6I+sFv1!2NZA6DAUo$IT0`LL`J{D_sY&F5EZXI$Nb0MEm!8h!Thm?qAM8I4>Grqyjr{4m!2j^~?~W^4 zEbP}W!d+};MTgNJ2{;&60gyri>lQW<)o&oVN^O`0W-9>iFad5TICbWzjlO0V_RJ`J zs~w+huu_pXI;>Kpef6{?fhWnUt0c(uu=AP+LYXF(EUn4_26TEHr_Oz!s)2~&F<3K( zzur!iY^hZtoGr**cD&Z}*!cQeL(yha@@V%oNrf;^KrO{y6yrln; zBEgsyn|)62KNvZpiU)#riOanXLSW_&98%gD9p)F-D1+7OJE zx!2PEJx3Yx5lo9_8(L(otq)NZ@l3|!maS?7z)2v!Qx^zq3&TKFig6N1OGA|7Io}-! zTUI4u++G0f@jZRc2~s;M{PQPxOpIZZ0`leXwOB-!g53pfggwNbH{5$_dZ=#pprfad zZ!C%`8u_C+E8J`QUJX6RlTqW28R`q(wSQ9le6Bg6NXZi8fQO(}bQkyjVwu_B54+~3 ztZ742<~><$CMLiXgHgtx*em5l19NEw@Ln-Ho&w7tpzw6GULW(IO7vW&4%d&pfu;Ux z_u$|l{w{aDymHS3q+s)59(nsG*@eqfCRk6_RPZDcb(QkG|FyHGB6-PW+3~@i0^_s( z#{HkSVD=qT(f$&r0}j6$j%Ispz3)>yTb5ida)7~t#lT!XN&APF4`dSh1-?Ykt!$Sw z6^>OSmdne_NvbAQ?CeT9P5|EpBhp>B2jBG`MkHTjH@SG^g)txkc8&i1qEUR%?n)M) zBiXz!R9n-+8JBY-{e2uH=(ISPIkCc`S~R4#B$^-w*0 zqrERMdPT)tq^IZRU`aK z1)i@rP^jgNC{Vd_ykryYK{-#%?0+`l;>yv`ZKbZCstk8vM6pvvHKH=e? ztNMV16c}k-T#huAtHEOg20CCRYBy(ht52yFl`og+hdO9;WCUGtNW%lEr9KS4a8y`^ zPFMBR9agEc-MhdGzQwIh+Y_$bFAo>vXqorXlJ9h=v2P?`Bz&O|`2);`%n!KI+@_Yr z!=S}^7y%qGdYsq;$tBRtCjnboZQC`lBwGS;IR>zI?b7*BhZopyz>SjyMoNiCEu*qR zESBuGxv)pc86`kJO<(nv?NV~U`@HCG)WksJe%*JHPk8}!mNO|FtOWX@vTqlfCc@6< z6VVo?6ZkeZ5tSC`7rm=W?d{mZaI{_hXr3$7CWb2n0+hLL0lW+2EdrX=1Aws7)Yk6& z{q+G>-7yNLsG?#H>?L4r0@RTmr;GA(-VfN*Pv@C~GN*`Uk%LW-ddS1D7{jFnz(f_4 z)!41HkZn$#SbY7 z<-yUP8e0xa=40CWq!}Z7+?Hr`znZ&FjyOhMU~C~0Ra^mA^mT1X3~DWzcZVgc)HnY=tPv)he#>n*rf!eIDc zx7*PN=EZH#S1Cqia0UzAn#7!iv8cxNOY%kpl8Po8j@@l+_=h&`Z_N4>8Z2sx6$7O< ziOIn-0$?lZhtPnMIR0i1U=Zfr1Ee*JT@*m=1FD7TXke5>ADmm%R#IzIbl{B3*gs+- z3gR#d5y%wkGbL@RUnLRH+3K_-W%^B<#eZpaXKz$g{W~eM&Z3h@Sm&=3+EWdq3Zie! zsdLS9T?0HPMvbr$J;8C-ju@z#6E zHOBL01)2k~>NN+`Ew>=tn}uez2XaA1PHrK^^%6@5BQ!G3aU|sKyZ)(*i$bh%*GHT6 ziNB=lr9Uwt{B;Ud-~V?NC1o=+2v*dzU;sjD;|^nq8R5Mf;wgr@eKTAe@A}>v)1D#C zuBH>5)@_bo>hR_B;sy=sYvR0r_rb_wbzdejJ$`>ZYe+OKF8NDuSeH6UJ0b1(}$%Nct zev_v{tln+keVmIT_>Kn(Au}^8mfR}!gDF`V-)(FotIXDJe_&v|7K@I#*#>1G zVhwY^79jlWTN_vLv7sTbG#pDXC1oC70(u|d$dkkl{(_T<`#Gi6-73o z>3+0p$P5&ut89pL_6%isfv%Id`%Ku7u8M|+j+nczJ}Nvm_vL@zr>Ix}>om6FTeuY`pat6kRSI>@;@wlDbfviS(p#j(($lAV+FZx-!4iGP zxLK>^{uCFd?kQL3ui1jz{B66>I3k+|kY>9}WhePvT5<)(tUUJu9(^lX8F-Hv`WSeV zQ{pRN-8L&DDpGp@o6cJmWeJ3|0ib zymag?@Bo~bFc{v&4S}nD73F(13*xX^9_+s@Quhve$8pZ>%pUQE^L<@P^48<0CO{nk zdH3b}t$Rh`DCh>o=O$@ijV6jG&jnUiZhj5rpejbmZiP>rCxf_~NPW6lZC?Dv{d^c^zZ&jM12(OP%f9H)8{bGYRb>O+z2Hyi7;Bh%Aa8SjgVh%0QgM9W^HxBgV?Y<|;U_$QrinlDp+2Fkq)n}PsS_*u#qc_{oarn&7l1O)6cL2Q zq=0n$E~$vymM*ETsa;JE7fuGp^-L{fq@vpS=;XC$EISpX2oeFJD_0r z>NAojgV+9(@#qTLTc4jT?q6 z|16`3tu3uLF?|tf_ilXx;u*zPb*O1ZMa`6_EV-|w288E$d;1KLfAwc&!a9RGvuo!{ zlX}+D;t&h-hbH4XnWMkXP8s<-z~=RZZ9;YMBH}Sk+Z86 z3m6=p(0Z8h#{q|1j2dmm0q75n{s5gX#9B4VoXpAoq`Xt}jYs2ZKh(W~y0LFW=U1{0 zIOTcaY2x^Zq?7X}aY_7}6!tOo>~VT#b9wtNemdpR9i?Dj<>SwO7wK6*l|-fb4E+9b zg-3_~`+s}zBl7h)Um|;IZ^2_|8h}tjY$&fpqu@1bvWQVXP~!;em{lYuyM+r|%swt) z`}pT%a97w-VdSw8w!n>1&3APX{qa}+8=G{xpKfmbJqYjFAb;9j>(x<_8i^3S#>>q0 zsTEy!#l!6MQxc%lB?Yf^76HA*YO!!|q^_l(k8`kqVcEs8XHMqv*&$d{@4`d=DV?F+ z&?|2vKWMJZdg^E9B7c1gyID<;JU=UpYw}VK=sF7hn_rRv28|Dkhw66-5nP)de%F+}67qHGW_aoL%|d<^A561yLw<}16y?`;NT4yZsCoa$ z=0P_lWE$qO`YD}dLzhSNUHI|qCY&eQsY1Z^705?~%8u4s)CpPQBbHl%VB z>qM@;uC6OR%amJ2?0ffDdG1@_fb(KQR=tsFQ#ZG4#*$9x=OG~*Mf8v=4kzVrH`^*( z5y6VzYG@>ovzV(EqM=fL9O>{CjqT447S950X&rQLjRlj$-;(V15vNMHs$_|5oSP16 zGk@#ZZB0Hib1%St)|~49`gtaH7ZpaK2U}W(eu-e!!e(H5ckBIo9Z%86ieds_pnag1 z2cO9!EQQ1EI4p8BdzQ-;KiizSM1VUIB9pi8Ai@0)4DokvtOc0EfUZE-s4?rFzfHFu zD!}|k=CwU3X#+0sqaADJTG4|o&VG6qY;jD2Kj~?wp09#xY9ky7X%JS`C!TUn@UU@v zGh*#huF3Hqb_V#`cS+(2n;rJt1-Z|C&4eR;YaWJu;P8IBhjeQmETB?zE?0d~|9A;s z5Lpv%N<$q&+6}bIRJ=H6u)O@??A!G&!E;dnigF>`H$Cbr|Gr)|LLYL=7H5 zY`3)t&J~*8I_-sGuQgOolbNX+7B38jOlcJ__ykz(59XtOJNe$Y_tMQb4*f1K{}DA` z6@X)&P|0Fp)hcH+Cj!K74ITls&s!-my;>_w4_d0Q$yZ!9asM!^V}Pe+tpCmPA#mtX zt1oM0&P}bDMN-dyMoNG~MYF?^yPz7ZX_e&W$_58go0fnKe=n)QM$My&5m$qbo@9gPp@65WYd&*^qb%+P z=SuOE@k$}@fQ`4G)U=1nOWX&1d}h`Ot|_&0(YaNh?7&kU&C*3Z^$dm{+@3{p*U&(r zI~HsGAqA!VHbdvI&L19`{1md$nWueo5vxCgNWd7UOp?zRRMz<_gjh8c4r?ZpGOp~j z6!}J5g&G6;0`@!Y())>+K%N(es!e{h6X*9$PC?GeqBf&mA>rPX@JA_GB+G7cT( zxNwD-#`o)R<#BBXYYRbn(@F z8mZn8J*T@S{ZK6ShkFGTpK{6tB!zb~ZO3m&NupN4sbymeOb!rh6AiI)vfkN8(uE}B zjd8FkXKV2cTdt7mYSELP5aO0kB-!%s>w*=H$8DZ1%V=D9iKM?Fk=<***Qj@}_7-9p zj&AE)%YEiHt*uvFzz_XS7W<-g0+k}kqZgtMW>U`}Y-}E+4YSMxkEo zQ1zNsE58-k$sIt?ACXV_%|c6i8;3zKH&UU0!=~0bOnEZZx{$0ryi;>&)ZWezsc$a` zbUHwY`C6|&62pUeL%sp3zE(*dJ>v zgFNF|kXXF6G((eR?sB$=CL=GE%^Do8>h}FP_3FR3p9}N$ccN@4NuoYOr(OGGJe+^P z^l-zbyJ(8EuujNHts3KP)m_=pu6Wjh3qaLO@IfxbxYLxcnl;^$Z{uwrCwhhPjc?7^ z9+<>?T_xOxNVw_gI8bj*{l>291c#y)Y!kbXiXCEgF~*At93Xio!bsj3nR4?Jo`6>r zIHjLvn3g$GE+%nXK;qyjr({62=0aq$eaqopZKZ5hc`cn-8cn*j=;+3M$SVgCQqT+8 z+>`^ew6Sc@WQ&nTmM$u0>3NuBfImyq$)W%1rJa57^==}!3f1Dj@bT8j8&xAWI>srI zmp`c&c1WIPW|}9@=I~Qz01&|J7HsL9{`N~MJz4NE5;E2}F2|=XH5}6~ zjeW9L_I_)A0_R2Wh~9E~c33@9O0W&>($_rE_wk(yCAHnt;A| z6eETGJZ`uDw?i>z4a6M7gM-e{uhe}8LE#u31TLB0v?7s}XCB}4nW*dI*TozkXxHPl zsSMI8?9kAYkukVHTC695zCB@eb@#LQL&Y#N=cykaYNJ9b2MB1#-Bw!j)zD^$g!g-v z9h$i&p{SlCi%Vb^lI8}wDt3<3O1EiRT~6=pZ0^iA`D@GgtkKI)FiTW;QBiYZ-&ny| z+a2th(+RIMJ@ka(5|RBT{#%hU*d$e0#LrP5$e-R+k8E^f+#}n~E-K=*MHe@s1bE+a zC;cg8Z%>}K{^D{~G7_wm_1mhze3te^Y~*QWm^dhp#!#!}7HB4wAI`FJ{|3RCDpsi) z2#T0C?qD9WjuvyHSM+3bB~RCsYAYL~<*e=x|Jy=j88>yDfU%$HlSgJj{KVBew=imPQk8JdaKlygbGmLC>S}bUf5S861U# z9h1HoWhhHa`*EV;mRxZO~WzJK>BA zib6&8#(N)nOM+zt}Lk6VmVEF6{^&in^i@`z~Xv>=vm4o zTtsbxlk@xilu*L1PpazUfrvY^;UC1`|NYTMGZ~niPrn7k0gQJ+s)HI7ZuQl1syjPS zcSg}s^daP0WSgJ8%L?bD~NfjcDa>u6-e!j{60@frIAjes9oe-SPo+tmX$e zDSWUyI;X0Og*^?zwp&y2ms|!nv&UQ9bEu=f(M^{^xFj|!9^S^vkju0_ao?&<5U)r>WMh1PRmKS7=|yI# z@+8>&hjJCNG`^=_Lm&zf+-=sJ@0G)e3CH%ji%~rtbSFvBjy?sYx}{kn%3ku99$_na z#Xgx@4e6BrZhtv|7VQNnoM=154;C!who6@QaJ=w!zb{+vu^WR~c?w5?4V*MPF@;4#elyjsMzf-6j-qyU z{78gpHV^Z&0%}W_r%8GQv-fiXi5z9LrGoOLcd2IsE-fcwVEy*W<8SPF1%AqrmCX*~ zR3ocv1%bA^_gKK|V1NZs2MnTov3j`mUYcr{a>)C+BZ0f7e_tK)bhfdNQNr#6C>)qJ z$Ry%vYy_!5MgU(5wPVuveuueDO>7PJD-G5XuD7agTq&w^ThN-ZXLe$uTCB0T`7qnx zpt|zO=9p3?)IQcHqQ{Es^6Pf^(c8}MVAK>*N%h1prbE|L`T6B&DZB&bz-o0c5VQS2 zeP`2+qN+bb{zI2!WQDmlv?UJ6LLq~NBZApEJO`MyDJ?>wF%AG;kq^`*WZu88U{U9& z#;RH7?Il1kj%LITdsaeq)&>u&;y`)RaQ0@0;*pnBR+e9d?vc4Am$g@vFq%TnjWH-+ zwhTS%F=Hua1np1_yU8loR8Ke~iC3d}^#N7Q&#HiobQ(Do*|+M?Sl1FWqPyllJ!-+p z!?8kS5cRI=yKj5nVeG}IwKcOHe~KwbyV}rkaS8!EATiA|X+Veqe9}AEV(vo#35SST zcqP?tSDKgIuK(#bHCKoU?QLs8auHGNK@@!J+a$93--riCpqpOH(NCO-rWGjA@P>yU zv7H%8<7ikps#VXEQmTV5W+(y~{EksC?X15tYEiUuY$W#2qi zQG9k!F*;+nW0{{*lwxkaUDFFdRKXO<90GuS$IBbJ!r4XtAhMJ|IS7`Qru!Wm`Uf*o ztAoLhC#tLSccC?S_nt@o`b7*j;I*^;fp_COHRPR$fASiJcNX3ajx@qQKdgSq%xT!& z_KE$ztXq@E1w(eAAy2y@aNxS6yM?1uC|VTt3(&UQ%K18)2O|HKPReT(<_Ic98##$& z8YzHqNtZ|)eVG`(0JI?zKLjEN9D^9ozclRorl;i@%x@_5 zc-q!fBDCISFy)B%CCa7LO>l^M?gfBaMbqFC2l!o*DVD+D{s-k_elRWR6aP%D%lRqf z`7AO6Clq(I$kS(0dN?QL#y~Hlk?zCC_qS&sX1hjTU1a2g7Lu5uxY*Bt_Wy3lV{l6V zg3KV`>i80%yZ~SkOG95D35ZB%fJO=6dMD=3q9Y5a2iBVPvei5|8jJfEzAg`%7J@<} zTT58Vp&w;a01XkHwJC(++@}v90>AW%^+_X;mIULN^!1c)KS0kLIS8fhFFCYKCI{*l z{{5D6G4zD(r+oJX%PBnsy9=EEguo&s^}6Pz%s4lXSCe2IlOosJP@xw9>hl0TAb=dl zEH0XchJ{U5nBf3K4kq3yolyRO@q`;z?W4bvyyQCDu(aQK=jC0Wg+p#qZa_flyUinhM-wthNfX-3;%w%UK`@O%%bc3AojMiAiy*Mc)LhL0N^(RR*(hY z4%toDd;>#$en2w91Pzs3Jg$$NT)yH9>38R7tU^yGy$|sQQ}PD_aq97)N`i=XKd(v-#~Hymfa4PI6{y^9K?Cz#6$8LSL)CauvTd# zRPMB==OVr7a#w>@3rH^>#3^C)GQfihp4TS|5z7EO%)-Lb-LefRl%Urch+!0S(*n-4 z9)|I#lKSjBV9-^XwA})K0Dn_4=K_pu&kfwhFu@?ffKZ4DjQ{{M1OUhkWnVB=132}h zq0pU_r6aD89miQ$%dX1i@NZ#Y)(URK{;7JGIXjEUDY}6}#rtdv1S9Zn{lh02JXWeh z->bX!`*ON9g<_dbdehaKVE@~iJbZ%`XqepGra4dC>cMoJ2%Lg_PNeQi+aPCyf{u*%;MI%a`M*JXP67)Ya1W9ZsA z#*bwSUDZu>b>IB?ID8vI_$9{nq9Kgr)2vVWFLU;%V7D(U^zZ>gg=qahIe}lnSL+5u zSPZ`t;4iT>@#E1AQ$YAm{;}S@t;kb)gpKMFLFfa>SL@ z|LPnJLRFp9nqiY+4>Z-r;C2<1B<&5%bubvQwi;7NUuu*ou=x;yBVTrr4Sil78h0G0 zoxZ9>$LKKLt^I2xYau`H+YK>%_9NE_g4I6QMb1cFjnP4&-Je;AbpD=N5W0QVeWq%5 zenByPtnzrNz-#tuOv^Br{6N{=BogUt&vh{rL7Ua>!z5D;$wToURrc)*sq9OvAx5U0xa(WJScKkRcc_X9rj+3S)iN(dm zRf?$@N*+vfmv#xNU&iaqNWni4H?5t|*I@wTE8dh7eJV=!R<|?uaE%BVw zqJ64A0eUPL_wAin>*~G?y_8s2f^KK2-vK=$QE%}4vz#`1{^pHYt65gy(p`EIq(sKv z-z-~5Q@s6!!0pBy8@7*@d0*KS+6ZtIIN)#(Hga%2?fGxRVWy*Xd4^%3dM@ID6&>bE z1BWUDs^uB@MKS3q1ehm#E#0Sdq`N|wbN%=qdFNyBa`tEFG{&j_q!EU?lvj7XNO$PX zf@7*;^1RCP`K3>v#7J{CWV~0uUbqjrkSzYA>_Qz3A4mc(Wf(Nid_U+KjIP`-L;)8J z!9E~cs4*;p@~J8xU}AoAS0PfL1@a?L%^gj_q8Q!OlVe5nBetO8&e83641mvpze z2_QeJ(c1#{8-{WVFo^$Qko}Ie0n<1U(9$6QG|7RX2`BR1E{~w!ns0p$-e;gF!Z6E0 zno<{lyDqedvkHYd{-ix~eq)vP_;uzWQRs#T+e$}|$!DcA?(t-OWnJEv5U zWxnA7djq88*Z#QWR731*6~Hk{KKacAei1WJ1-yZ~Cj4;^NCwjr6P252BS7O~ z8Ej8Le&!&K0@!9YR@T3T`RR{EL=xtjeX4xVoiCW;z~Y&yg%S#fYHPm-RMeQXv~Pfn z4pc0wAiu^8&|w|I6m95Y5I9{lQwe94{VLFL+fKoHuZ^Y#7qM~YiN$57Lm%rZ4-+W+ z#F&wSe%rm@-97ABG6ELFP@9@vj zuAle8TgIORFzSH9_%$~-zRVTE>ve!Zn9Z!a0sMS%$2?%~S^*xLgJ{{ZQHut$t3m(k z{c;mw9Wkbmxg97gJ4ix|>Fn}%0S7WQjlGO!c z=CL^#Bgn)Q)Qg?6vq^Js9D5gPf>w9sxTwxu*$YtsFrr1D2ZA=l_`&f9q4q%j`0kny z#tN)RijFYbN5o2DCS7%O4jj(2iCdv|5jwOAaIF!RAL_+vYj$t>wcjtV!yvg}hf@@L z;^iA0JMVwd7n2|Bn>uN5TQ^L=rwTUdecja!L4Esbmj=T0EIDfHU|!=QO)BjrS7i1pgH)B1RJ6fanzB4X$PU5j4J0NB3dWNj^Y(_&cVO2h zDt*IB=1};NwVLaMU%2Q4bX(u`Wy~xRE|~IfG`QB5j|%=YBYDiZ?m!Wo!~YQTZoR%( zjfzSKo9T}xUjor?smEOKeZEHcLg$K)ZiT=-xDq0z_Jl>K=ol6nOyVqQAtL6!y%EV)El(Vj0?an?P@NBVb zLu}j%Y;mNHsO_YN?0q}YneXks+b6hkm~7Jtrr4&C)}!ZcSi(dkH7ZxlLy*L;wO~PN zc{u=?6`6XdVj(;pT|iZ|Fnv*yfHOnPMikcG{oCMEKMz)5)(5k0DQmTL?sI^QQ1@$oV0{%W#8MSk zzCk-e4Oc2XpT6H6;rC%kH(YHz0-P9{F>3<+&lAJ~zyT`h=_Ot50=o5gkO+7&576Ks zWo_(1)+?zW4iXusF>*dVSs@K^aY|`^Kh_Y2J$>9CuF!<6h@hw!b$>UQ`-`6*zwmIj zM1AsJlA7H$k$HOR`!^|C=v##wThIPyE;D-}-v=LljyAq#pKaW!W>ReF1fLuFkb@?^ z&<8-`Y2pV3l2kC3^U0j>nj*$5l4;lM|gQmycNS4QkW) zqL%Q&U`Bh6SRpzWy83;2Z+Tyf<%TP*dCQErS$AphN1=m-&#h^E!+F)Xs-bD%d9oK3 zq+UotFmMiD*{r+nvw7&S3!NZX_4FKtMa>%ORV)c&p3nTwYG=RSajEzBBlyf|SW|+t zoao17>4ulc^slS@DYgLWgA0ng8wBPK6a3)|iPlL{m70Lhyy$srtCIZA=CiBeH#rs< z@pymW%=TY;Vv5$~QB_m3GA0HFqL{+i9EJJ!Qr0XIHysYBEuP=TIg6lpA$_>KhFTKu zK;_LmuX%1G>XkhS#H3v&tkP=fjZh zur_)S9HmGV+YpD0@0j`U3_ z=a{4Y`q0zd{O5m%x7BNQocPrJn{Su*tF+Yl5TJq`u)s7Cpg=#Qh7aEd2MK_`0TZx@ zptIuto@%uCSy7!#Ernw;@e zzx0u-u|TwxWGlUWFQFNqyXFrE89P8qS#?JsXha)g-M5)Dhk_bi2~%=9$7YV_UWQw? zC8qDwWh5EQ_qV5Mr4->E6XcnBDwK5&#p}U{C?GWzpVR577!;#DJefodKwcz^+LLOT z7Ok~G>RBZFg(zB|*j^w`DEXCE(Hma|o#i%UA*$y|`iCz+EjvjbNG4}ya%(|%m;q&D z%1UDKfUoF?dB@Y^cBeKrfEn!_2sJl}x#nJTTI9(R!yO`ed&h^+F2DzaH|`D4UeOY- zT5Oe!ENuBOB|q?!uX@8hF``aFmQu&&Nn`{fE5;D{TnfM1f@GeczrJyjkCjYmc!UnZ zAbw#8T!{$|j)nqW1U}9jUx-i4hTvEG&5 z#i;T^!T5#Bku_!x5*>n>0TiK17}wch*~~$tVVzU@)?w;}qcuu?wOuF|)Ofn(4`+K( z-{J>YM5}!82s{3 zu;9_i3)48#z)bLx!F&&?0k^bM@ zIOxx*Q9Lz9EsH{fb!7zOQ{HC`5U|RdXHbqL0z8%n_w+0HQ2QQmgnl0Fs1=aKtMXN`~j9* zo?TO`FP$K#m6`ICK8L8pnB5BYED|6>T*{7}Ghht%iPKA%)?9hH4DMS70bBo^i^N{? zohv7S$)`e03U~IVj{P*){BnXzyRFGwv z%89Wd!8Y+PKOcEYzw$jQ5k%UU)O8cg&IK?Sx+Z+u!|kEqDoPk`c~(^R%> z;5O9;^x90AY$xy+W!-u`^egCzPgrrUE&D2|s=5dIS(Z-p0FDvfpngIZ0nuJswR`PD zyAE?cQVL21%_v7#m)g6)zo3C=j5MfG8ol36XbHcUxkDfaiC90Z+h?D0lAIqICpl(?HfKrqv@vT-!e0 z<}u|Z15ivEn@vN^zQx3IXzlC?5`91kJYv$AkwLGmt&Qn-VI8CK{@9>K7mjf*6XmGT2f9(aGd8FBjK0kQFUB(E^SQAS`SV zb4yHYyLwL?eaBoP@zUAar1m1rvaUAT*9p{ zB$i;%27I4?=X-=T%mgvb|H$y2(M`TOq=|4j{8w_*N#yqKiuDvWkXfZSqqN=cKX72+ zRJoo9o7>=lmoQMeFM!;PteP5f#ycRbV+mx>VZ`kq+-M>OR1&|;Qwq0k3lZCI{pS*W z!{Na(ZTSi~HWO9iMmN<}URLyJ32(qTvLJ*F1f~)q9M3rIAllj&tZateM~)rO^bO=1 zaRZE6+dP;vM{9GOaKLi(%8;p$v2cz!UlkC(6aaAnG_m>l>5eh&vvXX~fx_g20O&p@ z>nE?FAsIZ#-$BgIYHv~pAmr|1eyYJK!AbkdtX8PY#anKgu5tC3=44W%^ z2qQ+r%eHt|_wrfVbnkBWe@tJ3ZC|P)IEix0neXSxI_(bXm#&Zf4&{>iWzAP98Xy3< zT3W8F9|0EN+YWsW+<# z0rq%`oCYICJD4+NV#00ET@1d@eca0w`wwXoK2vY^W4K5{L z^;rLOtO#H=07{zmm=bdYrSkh#ejp$;saW@`!A_@fT&H2Yla%BLiHh~Cx;p1pjMmCf zi0%OK6;FZ~Bqh@T`JNQSHnpl1j{#fMQn_iUt2=MCGf~@W`M9W{5AYfN!!p#Xz6WoU z-CW>DKg>!0{NW2!+|dk!8w0NPTYFo;QJaQ}5bAymJi2UU6EeC5yHAZR!;)0JQXqQs zd#-?MnGLWZN_i3P+YX2ST{SDXYA~UKfLHEYOmgDtd+-Eaoh%Av<=@n z{AvUto?qqw7u>zSi-xCoVeX!Y8L5+fD-!_Wgve$waF#p=ARacZ*}pM}h3nxfElLjD z(L2Lz?WdtG7ty_(w#9E{+ubljo`{#xOvWoin!+H@afhv}6;m{leO)HlS~?$X(Lw%j zkPXGzq)C5f<)rrz&&wO#rEH9yx28Wr#7yAP+WK{o{r2pASx*N$j|)On`5+ccbjNX& zbAGp}GwQPe+OuPhulY5Hq)}RNA1lYak|IK%3}1*1;o*s?*L)Kd<`s8A(;0x5Up@f| zn;>=z^rp?7J>x6Nq88<5k#4rM<0ch}5+m>ud~C*b*I&s|P}g;Jr)aB2h5UflFfiW5 z14EIeAO7otZeI)S6{{;NiE!VZB;^s?1N@ss!a<=$8l^2Ig-`I(K{$YPv+S?`YylAO zkPIYJ351*VL@~;p?RDIfd=$ET+t)cb)>|IZTv(jrJ?nM2eHN~Y9h7Sum{ zBBQsviUVc}&*oK-@<;2r-$_CJlU>QGrQy~{%ZPIU(0B?s6MepQaRS|jLjT2h=VE`5 zE5x$ykf`-PNS|@0yJ*+9*_`{n{b*9OrcFvIFBw!;kl1+msjglBGcETo_x3190K_pUDGs*V+p(TzJKc6U2Fa~|y+dIU?+qaW(1A<-52m}**b_N6K5g=jg z&-W)@D{(p!|J~IJT;Wkwr6KAPt`N8wbEOG=QAq&FuL@6E|0&8?B+3yBc6PxC-RhMq z*5tqW(emO>dV_@^Q!WL5Fm@ngMso5K0OR=S9iG3$JEu{aKf~Ibg`qA(CT&0-$RU`U zBE>>9{oLG$!EaQ8hSmUkuc-v%SH~k>Lt@;h=(+mGvg2^Dq6cNA+#*D__X) zWVb1wX$2)j<6Q=JJWF`UQX_z-8tlg86GM~D?iLJ%_U7kBdeC8fo`1TdkXeb zaldKsYJRA;ouru1C-Ql5ES-U1UdlZ(W@xI5VH4D2?s|6L8yyJOHcUF}obW@#NuHw16% zLwqhJ3v}Nd2jV!t-mGd^y*6_%E*6>s#&dc@VI$RT&HipI3F!jeUMdTezhkZ4+giwj zr9W|8$ML>R7!60u93H0b%BgJL9LL)^T~ib@0HCDF36n2xbx zo!S$&T;V@0Vxf_4Y;v6AQA@uSle1Y`i^#@alb!kd2>9aowU&FTyxk`LaYKqp%Jg+UM7g zz!NWK__(4X!3VS6O;MKlrSm$2(l(|_^=3H=(;TtH&0jFp*44?CgY^P?fSLtF^6@& zKz)~oFtN<lWa@L0W1_WW<>V9<6&XR_9=IMcfoq~M=bTH$7IvAXu=*WG zk#1c*NMlQ-5uK+vnC!`IjPAd?*yP+X6@(>TwpoT26S^wnE+BduYSukZ+~S)h*g8>p zoZZyIu?aV{)zy>Mg1`@GjNWzvv&cXReWc~)XkioBMw&pr-AVR%z~w&9fW#qChgD15 zTpp$qDjYn9Ij`H^Ezc@l8SL8T3Q3v2TZMK1LPnPUly3C8p2ewXt2v}GRmq1UC;6IIB9C98gF{4MxK@-sz#9CuAYX3_-hJjQU z;QL$#nWgcF1-;+PIm&A?vx#!lwO!VH9iQ`1J+~b^=HF9SI9qXtp=hv8R)v~heYHEk z0=}|N;{+AeZBissnDmioQ)joUHsD$%tt7E(46^)ii$T}?D0g}YYG%OUd8O3QiJ9Y! zzV!MDtFNm|1c5Ok6La-0R$!Qe*;p)UG=&{@E8POYxpBu%bf)z_GU8LfGgs=hmZkLN zSFeTc`87QJ5J053w7B!$LA<7RT(9Pv$QI??ca2t!vfqEhf=F)W=lnuMv}^9s+*k^# zp3cR_t7efQWA!x5aajv^aIZ-;UX!tW3O#$wZO~Mw@%m2N$2t-m<I zdyd^RC(5GNuhHh)3M@43Y1%Y5oKJ4RhOOsSz8yf?3iXQ@rw{PIW@FDJg|=I17X8+>vZAb{ne>AH0sE< zp2?5$4;mITd3UX({hSk1JjmcRzqi7yHy?)@>+moxya5UC-C3IFQ_rYmNVbx+eTdCW zO`rLkaDtH^qqum=)|MS6kq)Hw$=zJ9@+>e48hsu^esk8XKX6K&^cE@G&QVF3Zfgwo znrdpJSBN>c9FT{QN1$cP^Uo=mo{0u8{rwvVg(*4gysxS?PT5+t>$gI03WYB3HEg8@ znp^G4GrKU9)LX1o;(r=E(yLx0VE~C_oD!s4+5K7RdZwIQK^^m(EwzKPv1j48EXz<& zZAWmbO*O;=!VDCcV-_|h1CNe~!2cuAEA#VnppL5?l1oy55q?rL44icy5};&c$z{`Bg>GJG7#*I(wF(U&adO@m8xh3nTZ$hh&C-{>}hLzN- zj%c703Xi-xY>1$1ebxD2R1uxi@|_AxIj@tw(igrFhG{wzKXQ+*_3drXun9$W@rey)rIJfC+w81PeMLw_2sautGN`{s{natGr9E#j zpkF43_a!w^E4B?}Aaa1zOrwAYH!!~H0%Row_);H8;o-_H1ZmixKoZt}Sg)52I8D6yFLN}%gI{T8AwDf_qlQeX9WqTIT|=Gu>B2#c6zbha7b++*1B=8rPw}- ztIp>E!yxJGaA|2l7YdTcRAL zo`2H!6yc8fddwG=ng(e~3cJM!UqZwz|GU8o1u0}~dKG9ON_a@@Uq49plmVe(2q5g# zYP!UP4)_DFNP^@}Fl5#M5%5_mR z3ORweFR!5|{Iv3gg&Z+nn~npe3ia?|>H-7Cu63kFdPJ${oJb<#hZ)8+EUesk_C zu^$FeHeFSx$;DC~GV=6vt#soLqU5I1{^2rR@8$9cj1ickK)&`JU8M%#kAdX?T)(SU zIA8{YAX;~(!KeD20|>VRQDec?9s?WfaDNLUFh7qqeg56WPeNgh*#dbgB!2JJPiMy0Aq!vP0!B#1D)=Kemkc-p$ilzBs+F^a_sZtT0#e z+3V-3kC9yYR_8+_AP~~sBQW}Fo&66@NLRJ+V5#fE9)=Un@=lQ|SLO!VI_KWyx7p8% ziH(x^tep$27;lP2t8irTzR-2%^{n*7(v$Gm5`gH>3cD$sKoG6=6fipArXjDXsSEMD zKziK(NHd(Sav-&J8#wDBd-clMwc>E{10S-VDO#;oOGFI#xJHx)8DGHp4$ZctFycnwkwpA;avqR2I?t ze#S;-6Lnkc%;f$Jmv!@J@3viw->-T5JlI4U4z`TVe2VInP4!zc*MPxx6{goWe%PxC z>EpY(1Q>7MAVs|ud5zzuXV7@h`chexjm_csf+s-2O#%-k|Iq@Tb_EZ<28r9jUG??# zo*+CNM5mUF9Q@T}0=_=lHXNb;&hkf#4R*pu3m!`w0F|+73&wUmV%ub&QRtxB=$zd% zNpktiO(np>97I7c>5Rj@hc30qZl^@5`ulWZ5C!4!>gV7W-4FkLyq(>I&8?q#SDA5r zUWo$nZWu77!C%7?n^?s?Bi3PZ_1XHaMC6ymoE+fJ_!C6;5i)B#?T#~&`|NXIU|=KxBOnA^;bZX}ROX}lGn{`9M*;7v>`7KuRC8UollwNyGJ6vvTsmlEY zF`CC8S!-A`oyTunoNYcUZHjw&v2}D@Fk|K%@$8cizj{*%$PG*L(Aa?N0v60lL4tsP z&;GYgdskg>m=glL_6n;#cXR*1&629;A(#m8T;$3rqqQF%iyXNN&TE}9fJ-$GbCFk8 z&H;QectmN59KbT4!S1~e@8IE>U^8jB(k9>Z0WB{0Ge#oDKh!89y!M1eaHERavG{`| zP0WwxGm2M^t0`mK8WdZo+wDu^Y$}9r9!wzNeLMKOJp~yNf2KuVTC*|ch+FO@$}_pvRHem;OesXOA+VH^yG@vb`(Y;O+wa~nW_%4 zJJV-9fA#{xWqXS&y zapH3;!&mRid7BRU2}PIu5d*IdBVLc!oh)$iP2prC+<2AJ{jB40X2!?=;VblPTm8OL-Db9|GWHnO7dG?dX`Yueo0YFT9J3DE}TYLWAz_ zM^N^>g_*3AU*IX5IgPRh8A)NiHC%H3D)hAYsY_!j%I_*aztdKM#T|!)wyP2UG=~?+;JX zga;-oWSCFR^V-Y_<3_2ve^m8%wABnt|aPD&`9(uqex{hRF55yq*@nsa!899TF%Q zd$(|D@%A4DN^-U3W|#g@>6YY+K_=92y0=;GYDtxTF6vB%&JYY_%AqeA8wZJ18f@`n zv*kQ1U-f$)(XADqOz)!|`l!B^xRvw=CjlRTk*By0mK$8f$v(VDg zf>g#}oL7Rn%vc%E*w4v$M+?ust3z@BJP!L&xB;r&B4J`ni2fiVdw>$X-Yw7LiU(gc z4gn!;bRtD~lxjfM;4`V-&XFM=EUbFW%B-YBMzo-f_c>cmU|oXqAQB)$CoNAY0BX|@ zNWJzEikK16zw1vD%W}td#4-x->h&eK&ImP!y5FoMYsp5_5YIJ`WMvKL;CDfl78rB> z)_?mUFN8=;M(2L>S6-q8b#&|>5+#_{!_UvwfmSAw5O_E{pp~tbc9CZ(r}9qLWDkFv zQDjWjd-Y&+we;8d!*4^Q3cXMgG4c%sBlN-t!({m$QM7wSm^ z)+Z>i!1s$uOtgw%{~{x4cI1W=^$$gExSr3mnq4vW=^M+F#ZE4SdT%S)S=8F(978*2 z&6`a18)W>On?JT9RZ1G2mx{IPdRUB8`=dD+u^ad+Ul;V((h>1UELk3{-A$0!ucdrr~dc zBQI~h%XE>U(4ya!A)9eyKPZGh=Ch-aGE{E~hU9jwD6lY)Wvp#K;iH$wFZUN!PG0WPDDLphbcEQh4il8n^ae73mWdBd`)WiclWIl%;Zp2e@1{gt%*z^ z5?j)Axn2{%mqzGs%o2&ABFA`x$^!SXD5)7WJEgww(VtUp%P@ zl8-K{iVrm9R){vohCdGp4U1sR0Y#!jG=>aA8ziKf@Z>LGGaFAoLDgxVd8)@(FvZ-I zokp)so~fC&afySdboksc0k7~NLgXX+atNZm+;pJct1$JQV48S!HK)eewTt|?r@W-! zKDYY&$g@gAD}pnpG6w!oCg$6d#efEu8h)Lei39|_W}J}tC`0{k_+GdSd;ethp)^K% zeraF&B_)M_cpfb>)cvrkp|`-LO~E(1-;#c;y(TIux|L?s3Q3@q=fq+RH++|u7*qPS zwH1>g-th}cs>jwVP}Z1*uB(+WMbIrBHyB=!C9JpPin%TEImz90AtzoxSaV{)zDIR> zfU-%{2T&|t7qVj`L}agg4KP~v3@t)Yb@O5QIVh;C?vD?&bfQ##1uyeOqG>|IiNu~# z(yaeeV>-xB17AZqL=FcvKaW4#Ug!CNSwP6?>th>iD#N{n{+SA4qZ`Ai{LA_1Dp$-i zUY#%6i5gI;(BCM5&sb%D#c2ZN7tgqty<62(@Vqrh=uZx@) zzmb*;FE^eR%(h5AReime@Wn9?=VU&{Bx;$u3e%p~B`xw@7w#2*DnL zoQAB{O;|s<#UoQi_UQ#l-&kdVh)09JjjxKZvw$;$g@UQ1nLQySOH0=?=6io(;P;YE z+&Muq@cuzw3lJ3as&&ek$XeJ(KA_3rO%m0&?oPCSl!aceG}D@MUOO2O`5L|&AkD(g zezEP1gKU6=0KeMEm9n=_O{R2bpU8MS>v%=@h_vA{CS7xPSgo$1$)VtCx=nx zXY>Uau_x6o7Gwj*E`boMuzSMylj_sHSd-DI+zGmHJzGF%m6cczTf&5bZkkhp=FG!i#;#vG!rh-fYrimk75y0K3 zqMS7~o(6?#BjJ(xQb1t3)C_1r2RuKTG=mHo`1%DZKCi23;Ly9a`MHvRJl)xg`cqe}$Xzc0D+z1&3+19OdmMR?%e|IDjuuKZdc^pu59L1FUZ;5x~}g6SK@-WtgZEVR}q31t8Hid69<47KFJFpsVgoV*U_ zr)Q=yJ?7U!cXJ0XJ|$$15I~`)%#<%O(Sn9+zJdKB@6>K?i|5v4W0j1*T;-}EG(T?1 zC?Lfw(dF0)vYd4?!p{w08*k8#eXQh*49m0dnm_kp(J9vm`xTpV`4n_kDk=jfm-ut& z00Q*nZfMez%yRb&iIXwdV&}rqj{JOTdhGC2!tlGO+ggui<7_fQ^S{TjWW1r@Fy*w2 z&K2x4?2Gw%L8R!!fKgkH8PW&Ixaer~%gXp{u+^j|xp+Pgi~5%YQARA(Z}@PL(I_KQ zP%zQjIAn5`U+WjARm6U-oK@Xd7pK)-@G}yLy)ppviN{}2XIl(gCbO(R6xwV|3fc9- zxH+Q(wxu(l=jY8pmnaT)8UoKK_)a77_bp8bU-IgzIa_-GLSWO9ny_$Yp|@Wf4r7Fa zgn}j6J?|@gk3E0KXUHD@_UDldIU9QE_mAwbjty7zi}f3m16JaKgNX^3?d9dKS!Q^& zw2a^at$q1_c-rjF*^Kvi&adi_<9p}en+~NWT_>j_r%v%9ukX*4%eskT%$XTd<6z-PUHYAXDa1!pP9L1WDy1`7o`usc6{70gD7=B z%i(-{{eEhb)Z6pzb28x4kf57iJh|2PEi7@_j^Li@|9B(I;OUb(!ANF!5S{UNV<Cm zERQh4c>tN|@pTz+x16la1B=WcF(o{iXyWr5e3%Jw0O7@)k999=rwXFF-5$ z{Vl{ZwtGlS>izo{7+<*#58nZ9&?36H<>pdc{Dz)z@E&u#LxoW9*CwhptiFc&84b_m zVzVY*SSUc6;8T?98ZwHdzTmE@j$$*#)fX-@bJi1D2z9UD4a&$uD`;rZ z8nu40KjImFJV)3j9LEft@@P_VcdmLb>CmsVBj7rL%e?hd2Fm>+BA=tL_cn2LwT~hG z5al|m1m3=(RpP_%A#jZGy5JS2i|xUZ>a)=%)|(`1uIf?P=;!CJj$wfXX%;$ibac#z z2WwS#UawhmGP@h2EPs7xv>s<9U8r`}(u`}pGXm{j?N2rJoJr#3^=2Dnjp>`P<_4DL zMis8s5efdXald}~s4=8$`p<#I@#?ieJ-T(}hQYw(1yoB32N9{5HUzxP8tRaaOlM+m z9EW#nPDfh^?Nv27qivm+hOJom zNjfMEWhnh_p3tg}Umg&wFaWr;Os6)2WKc&W1GuI?{F?B+Fsny4_q=(a62dA<|7WwN zP8L~jw5Xucnk)rEdJw6ehAHbx`_@z{i%G;n38HK8d*$Q^2Y%G+fTRA^d;+q~Q-tjo zf9F;*V~y$QJkqeZA67QTB^OG{I7C7a935j2%qM{cZV*-noYk6LX^3XxEsRV9h z!Ph=2cjg9M0v_VvFor-SSZp9mkuP@0nPd5W;u5k@Ne zdkR!@PyI!jCiL=lZK^uXO&T9JW+gGoicP+F0}cm<`1I==?EheNG?`~TCeQzj#6`!t z;QbX4aMiq7Jy;+r*?0F&IrVMsb-@{O2+BYCb-8SNXOc~jjWEpfi#evTc4aWd8+Rys z^JHmB1>tyqx$4|z1GD*)reU!OeUpk-m^k0Xip7J1#T(gTJwNvPTM+QZV_Fm+6>W+m*u2ix zapgks$^GTlh_y09XxSClLO`9UxIOUTF*!7;$(`RO8Q1WT+g)V(Ll_r#Htq40k!_6g zS0TmNQ^O_?up1#Ru@md*QA_@`;SMTqGDaFn>zkYRI-}=dE?_;TgO`@&xMrrF$ zxfmjQ?i!8Y?aR`(_IM2^6VmSW;j?F^&)xJB-Hs<4s?tA++^kL$?W@j2(Z~niQOn~G z{eyhR+(AXD&A<6zK(v0kH>Ab4RPtK(D|PXe-;aO#{{jlajk}_cspco|d1H-T%*+)c z+QQ-#_>hp`i3-T_^2{fvyB49xFXQ9ljH79=!FKNK<^VT~t~lSEv3!SD(9_a__%(Ak z%{#*%es{IzRbjjeIi!uE)y}kjBDpqA`ZNOdMksUVCL0>>|6na0sV;mpfc*VwH|>w& z$xDA(;@D{Nlw!edZ-0s;-k>8slbL3nZn!lI6+zLXz5G%a0|$fT=ll}kN22(Qp6q)X zbxiely>YIWdj@McLN{)v3SEpWBBgQg&5!S&qi3FovhPGh6qNwCsYe_s4<_vA`Z`4o zv@r%cibbZ?xQSCd5=~QRLZ#qz%&(xR7#bBNn?Etj&naPDD=Z>{j)hfFN&S{RQVu7z z0wDni_-JK$CgG_426yar|LlbwL#~>cxITbdUa?D)RAC%&YAen_9UupKWSyQeXKA zt?sM&;BK24lAF!tIJ9rHa{$4|;;Z8#jyIL>@{dY5x2r~7JdPwC51*++16~W?bGU>| zSsOIere?0bCBV?Re+Z6^iwgoQL2hmWm_h&MGZYsnO=xSYWRbzh#4a`lMw#>5OI4Z> zWnK3{f0|sf%32Z?l?*rXqcst{oKY}a(=02;UEY`&D>#WuoN7XI?^r)po2BB`!^ZGp zl|lh|ha}lMEri_xNOhE<#?r zD1+Uzk~}UvNVARqgV!W?elcS+yNf;Bz8&2CbCD1t2wRe?k(tI%r0EGz>3ba@hrd0o zgn21TyI=ZaV7~dK#{b-@(ETsyE*jwHl-5rwi-th)g<%MI#8Q$|YS3(nd{!hS<3e91 z4ZbDzR{9_?f^||CjM0F$!Sc8A$m{Q(F9Zn9qaL;(m=jsW#{D$6mU>fN^WA2NJeyy2 zsyvbPM^R;Sm48lIDd++9ymp~&XER#|-X3@lzHPzhFL!r5l;l-zM)t>u?B$!N6$1as z#nD|x^YPAAIZz7=&u6>fyS=k+=0NaEekV%6!}>lm8{1<}Lqn5PC?a9a z5JSfM?*04UtTMUXV5my(=29{Hx~$ASnKnI4{&%iW_BK)0TTj_#N)Psap#shdU&rTU zV-L=o2|K|d7a~y^ju`-KK^(TFO}{%~I3Ynr$$<@&;^GE>8wP?vSF6`d-X_oqphF*$^ZoSD-Z*Lh4+K3al z9DQd`7GcqC&I!mSW_#?r7K`;>;5T5XpuKYfMB7PeX@y1&DO1J)3;oY9B-c!)dRFLv z`bv6w^4nIX!13{q#shPZAHrTxpF>#4@v)ORCkch`@uv%<$}%XFnczkGQ}YWZS?buH zYS(dmUrj{%#++=y0LV<=ScDD*QRU z3cD|W`3w!w(a=7uwuhRV8yrb2m6#wu++MVejXkHJpa9wmd4n_ye+sy%#xIG_NnBPc zgQid7PJ=i=m)R~pgYFPVP*h^L4CI95nT8oJUA@%m>^?*SduHm>72UK=H%p!jjMoGIsCIraCe~MyJAO0 zwE{g9%9DAmy;5n5mxBEZ);Zlw;eHMbgG^`j2U}ZPT#$7+$EFAO#)nJ&)wMM*;A+GC z3OF4M6jm?x0{u`w7)z+Wd-v>3{V@`lmsx0-8OVK7$wj=KmYWf4J&JFS1Q;1Z;Q=>*iE#$l04}%ZHh{MirdMbQURte4F{fn& zRgnt;q&6i_0lGv`y2* z9upfI#;3UC<{$|sxN99E0Mbt^0awtnP6e=(a#Vd`Fqoy?9JEY{#ozFi)m8%NS>qD7 zfHTQUk1G}Iu-y4*vPqXlldoTCa4?<<-g#Jl>@~unxtHF<{mssBBjcHMGAC@`*Sa!-^$3Pr zkegErz*4xa`UZHGuLT8DZqBwy$$_Z~Nk&FSnut#V5Z*w*^h?v$W2VgF`sU^tDXF5l zdG^fO;cO){ctRUriHtsg^{JKq4=i+aY;22>Olhz?&Q^a^g+Msr&(URTun<~8M+ZU+ zS6cxk-r2>4nuX>2w)MhYbZqQ%I6Dw13pr^*fZqb^Kq{Zra`Pw40EeItZ0^ZqmgeTa zMy%1${@%+nQBnqu{mD00Q=@>hLW&!2^JZqtgEKP~35bj(=`>b%-ZdGqAtWnBhWHS1 zmOoO_Upak_1w=B^=hcH;1)7(Uf6qOy0uT35)G=M*4D;lG=vseJ$GH6c9o3E)j6%x>LW@QozB@+1WI#y0ni-to3g@C&V;S zgqnMF=z)pPT?uDkwMW4Cu3A|5o0x>Egym(Qfyt^$um-?yF9M^NYl$-X1sJ~hIsDCO z%R8CfgaC#JSkz#f4es*3D!Ts!e4VoH0fV5XR{KGXn21Og9HIgqhh*Re0MVl&@b00hbQUfPcL?jVeC`rNKX9ejq)V zt9}DF5^MB@Da^t3aV91v74|bwleSD{TD4GlM@Q#N1i5@n57 zPvN;TCs=fMgC(BNpTBr8tpE-^>5W?Tx0~}6dUUbR@iUpjewhEk)KJ$5kj-a>S6t-e zZvP^|QcKfPNcDX$MAZX!2QX>}rAGGX6wrMTvwuK9$dZY84c>BE#RTA}XauA-nA&QfIsva!8gPdkhj~z2M)%9MhNq^8zDi2y>FMQkjg5}>*G{*Oj69R=x+S`+ zM0LSp+}qiDm15QbftlrZ&igPknKRvBE z(1{8Ay{m4$j^K!KbujWf`su&8vcep~I1!hrzOAjb7u$9_$cF+-xsm=t5>OpHOMDd) z6|34XSN0W*7AAW0LfxcLo-Xu##iWQ%_4qzNzlMF7Q^o7&&=$Sy%%}BH?d@9>_%7Jd z(Gk4ZCgO9cDfruNs_6c-@6DHxkStB@2bWlo?Uc-A1w6XYAMUQ6e&~vPMc1)%a1c>l zUEOms^g}2SOyf&!wKgR8pFMj9|CjOJ*B*!Sp{c2)fbf}L#R}+@fMQ4@?8#nSe~OWw zo^HQT8((+SNE#SI;h%&ndL0Os8(i^hZT+|B1S5!N#$qT#AtzJ6+A)4J9LTUhT$8$m z?waLm`O%9GhD|w~1tDZk@P28iLl=Kl6&*#I`a=Gy?mO=DWY?o~Ev3`!&iW1`i}Ey$ zkT*aiJsvXgexGAo*%7-p3@E(n6~G_{?iov}Z$ z@$ntN(`TkBK+M_M8Ey*(oT$L2bqx5o;FJdoE9h)%s2uRs07cm({u&txDT%}E2?d}t znM@_7IUsMUir#KhN0JG&c7zk%03W~++e$zt z8FcFZg8sb5_l6UMx2*tHNyW9@^Dn_=eIQ@y|Ky-y0(E?)O3i{#VUNSdrfF)S{K^# z&y7-g(}{A3ZOKxcITWNb2IzK*Vyl8%TT#Ld+VIuY0}z{sj@&hw#(awRlk@YL;bM)h zC<=OTAPKl^9uEo~X$sQu^Cy9KF>}P47%+o>2)eB%Tcx*vq6}sbX~1SRk*7r_>>1tN zEeF?{EczUYD9aoZc$MY$nKkkzLCf4Z)FRKN9>FsmG$-(1luw# zpb>$mS7Orkr0sQldwaXW&r@K4ip|`O0G3B{5Gv-k&`=YwjZfk%y*}qbUs%XgES;~>Hv#K2Fe?a#UsihS7OhnMB^1`BF`>*{XYt&Wes(Fu5IeJ09@OHCq6 zuvWklu@8P3(g8c(%L+s>e2n_*7`5u;j=CegL$gVXze#S%9{?yMX@kOF%@EG9LRzG*0$95b_VOelNTRwad z`g4h0d{y#3P|o zLUoeQ@*SUrRVO+!cZAjDkLRq`w+%)4Maqogt-dr($nKtLNyeMPYku^`9cU0zP}ZyR zeG(m$-uP+0{`rdrZK=3;i`bZqxfN>mZAVgBGdPDezUtfaU3x02PibjnmV;^U*Ento z2ZM%nzpa;qf+5srn)nqkchz%f)6iNdC$t?m5P8tf^O3`9KuqrSD1sn-( zCip#sK%$VA4<~!}D<_5LFD`KQ#Ey<{OUj(T!myd+oxeoewnjLr|%KeaQIvdU>?uBz<9GZ*;($rsxg*OwM0+GNn0=Iy#|d$ zFvUY0{(-@~H5Wl}12P{?;~>tU>-mU7X}qpy5Q2wnW6J2~YXd_ENsZvRiy*_#Hk;lJ z(}e;)I0qa8<8Ne6T+g|E5chZag+iVaWY5VQNgAx_R~qONt2!QpCm z&D>=)_k$+0hB(=WE9sb;Ut5gq;YN&zpZpKA%E6jXayQ-ruUGK;a68!lq}oDWKH3eM zc>7W9gP{*Z0n$HNMEgGL`#{9_?uWMYJ|Z?2dv1%rH1dkJyDt%tI-<(}gCP!JiXhtk zdEl2Uv*-?Q&X;9FWi;}H!SQ=?IF))TuXM4*zdWh=NAHy1*k!wLLa=BQ@KV`?m~-8L zRhe2qEV+JE82=3a)9n@6CHi68Zy&xBrE05PH-BXVG6O6Tr^_;ijuPUIFo4i{PMdXa z*g_z<@S$?vRFOQu@xsDmfokaFtYHCwE@15a1$-I=#c{s+7?XDjMLQxPdJfNip?;Uc z`R5-yeXoe{*42jqDNpqfht_Cgh9VMy9p)hQ z_bJ<3uhNIAq6$ebL_#LXw4XS+o>N!MAO|{bl+oA}dOz%Lhr}V@ABks_+}|q#ikdzi zfD)bj8cnRi4W*V`k`g_Tz>q%MrLXwnB@zRH3J-;+6KYBTk&{f0V)yIUdBqeUY%4mK z8AnaM$inH1*uPgZpBz8c9vt9glUpDAN-2(k<{;X^N+je3o0-Osk`h_)eS7-E01j=e z-Q+L*Qu&!qQNhy`M~AjBup!HMde+Eq0c4OewkOX%cM31TdQ5L~Ahm0~2gvq7%=9?s#{_ zJU`LI3`tH?^h)ez9zcHi5%TxV7YAJCghC*ur5i{U>(1$82FxW@+gS<})W|A%vfSX= z;4HhxXfqUfXpwSdi70HoXWvcjK*HLZ0T@1Lk;6ffEZHba;BgaAp4emF4=Q~iXc(V8 z1a;0e2sC99+1%cqJ`O}}>3j>Z-a2mx9vox^=5j3FthiCuh7jx3dZ`D64O=@hTb`0l z4u*lxn|}O+i_cYljvahg|3o8Sf4=AJ-eIwtsb1o$j*B#3Jahxmg5j^cYU$~ZHBU50 zj^G!luQI(+SRp)BICIi?fB8>eN|Pn<;AsD2EHRk!fzb;s+o9p=nix%U015=NAGJ_f zzK4*r+#LaLx_MnQpVf5Ez0WT?f1o*OP3EJC&3E9ndID^-;XOCd;()qPCEiRWjlTsv z!fQaa1%^!yAEL16l^y->#o08gqyy-H5~G(ezjZtfLX z0{R%?%W1Rk6k?6NlkTd*Cn%UiY~}zYek&t0IbD>MWft#_n!$+I*6Th9y}6 z5_#9^K`qU0VVw}iU&9L#-38>j^4HpYSmU}r@Nq-MDp&$+>juBV1BmoPG^q9COJP8% zr3CiTG?6PobRr@^3>wU9%L3FlmvP>>z8}QIF7+)3<5#nrWk6S0p~nieE7FD9W2I)Y za8@<&)wJZd1Q69*Sy`@tN8dIx@I9%yx#NI@Y_!Tj{}8s7u5iGnUxfvPTksnApwjLe zeY$5*O%4C$(NdJ2;X~dTaFh-I`OEe8 z{5jbyhdi`Ey;DXt*R^FLN92Q^JZXf9E=&@lYlM+cfvU_{@e0TAa0{|%aoTtKu1704 zV~XOE{&dpYu$AA()2H*o+Gx$K_KB->Fq?_>c~8a<7KPG|Lk1pnoJL&OeCX<`BAB(8 z&AOePs>A@G5m2%M|9yK>O&{B%#*pT4YBBibc05<(t+ce3LXr2?q2W#vc(G5xdSBb! zwY|1oGP)wiC;D@@AO=vTwXUc?K+#xJS4XNXM-MP2!Y-h2Wv(=y@&bBCxZw`G#peb_ z-kodk^@NNotY&w#0w8dH0P5xx1CX19uo{%7nOnn=ghccj+6iBkez#9d2=+wR$#Q$$ z(D(ERC< z;;0;wfat)+I+`#;iphTKi?10e=c)RW-enT#??~GbRjuE+zbE0y@IpdeRjTsR;E&_@6W;gOMj*UqQqNk?y_A2(kz?z&5C1H3!f}CZHuMbpBcu9*$Y4U(L&;B2hyBTA;!V z=2dGXr8DKuKrs29YHQ`0vifK>-GC7HetyAEw169geciuz{_A(kzZHeg;cxouX*bc& ze;UPtw1b=%q`aJUeX@!!4g)>pyOn?0iR)yom4BT~uN7m6Xxu7ku40b=xV|TpbpBo0 z+}!@RML0dHzer(K+IYnh0vZ+o2b);rFvq=UEshGx{;KltQ)Cu) z*G{aI$9sN_CQ;KBCFZ&DCnO<@C9<2R-`?(8|VdDJUr9Rm8@`m|R|?w#tu$y<|3A*jJa}5c9{_}?(0wV)TUZ5)F_dKQq znoi-n{qlMc&%k3)`UrOxf@77w*X#h!M?po^y2%R#gFHAY4}d?d^tlofsd)F>i#@CV zzHfU;*$*fUtCtr&;vS342pG@;IWaA@85fYnM$9rwW{q5YhyBiJUL116U4)^f6(y#~ zv&v0O(8sNtZ(WbVlAr!m-H*&tf2SO-EX5q94JNF3iO*%}#pcEv@|8P~rXzB;@LZ+( z;40hhX{B<@EB$>z3kw)n*+`V#Sov|ONb*po2j4!{YR#F+!%i~*)wBV0#?Id5c)6v$ zQ+v@Z*OU~jYOPsrEhVMzBMzD#^ZPU9K+x=-(*@GZ2TwQpNC^@txwVyx6*uYL>3SkY z&{4qV(XFiZ2EUHrvTm&tSDU`qFbd2x2p<~!>5A)`isbM_N6_*k)bX2v2EI76F)rw= zp6hh|ewfKA1zLG5)RO$QEgw>Z_c|a}+!01~!@RRMVyg(|@t;#uEfn%V&CV?Y_5qEl zEmE1+iTZq@r^myrm)!#b_Tzt?BYsC$IioV1l{Yh!1=qjZxk=09d|^L@{Vb1X;AS(! z$g}QmKe>n5*mSIvUvWlAR){hfuyxPC2vt-}fGi0<6E|X)hKw?aPuY2LISSANsh1*6 zh&vM>FdNO9?_Owl&I#JJQEml=T_b{JXqvc_9y&fJ@dF9J(VLg48oHhBIX*osbqLLI zSiz<}d z2U})w2UY3s|2m4kbDpZB+V^%S%}32qx`yC(v2Fd*q(>eWD+rf1b^H!U4uH8wkU%)g zpOOdI)7(%_UcwtAQoX_c`C!11zPyYD3W4P#F|zpHsr`dFWY9FH0d0#9EmTSnkSh^=&~)*SBn%ITq_e%nSz}ep`VBLF#nAu*BFNos)Ahj9y_d`gdrU z)e}6IX;VD-TCJz^lU20(q)^wf0Cej>1g6F$!oXZ-JL)LX$-vy#P?gBZjafP$L?nUt zrBeaicLreC0M!J7qR?24fw`Xd(2%R7LkZsX;1(-s-j3r|esQO~Gbg}xg z@1L$9%dgfF2z9QrC$+H{V2;Riz9_F`l*dnub*0cw`8xjwE<QsAV{l;MZ)&=HK$!lyG8GT;R!5f zU0T_Wf1Y31Jd~+?Ihg_{x0Kl#$DOVvQ`~GH%Od!a-mxO5y!WrhX#<}o&sjGn$|Jy> z^C{3>Ff!BxhAZ|xsZRdUkl5OK#y~KL@?_B>m;n{|sYGoHR7eGL@@mhMY{=Z2P9sZ+9PO+wok# zmLRS|Y!3zIp*3Imt{QEwy^ME7%fiZ8Uh0^<&!7^p2de{c1C5Mo3-JedDtrZYgb)Bb z3WRWQDW(F#>LvUU{jRSM3_>z|ZITagz7>-wfO<*$`?G|2MEKV=j& z(dATtb^@xm+>0cjd|lhw0pAh~#X;yw$9`#lDqj?snWr`wO5lMqbHpL}Psa!c9zbbQ zJ68|MrH9f3R=4Kk*W-68tUsTHwWP0TDI5brXzG2co1do4TbU5AmA zhyWc*dStqs9L+k7rZ*e#5TUOUmI(d*W-*G)nq$)qVU0_k&JJ(l0&L7LiW28hky z54qI3NsnFxH#Sxy0k-WoFhqM&8J~7f4b=n#UEq@PY!j`xhl7s8_Iqnv8_>(}_$Na@ zES77CSAP{4o}W?+@3aR^_6dh6wa_J1#q_mZ4GrO9FrWq6D`vNz~6fr=1hnjXk55Szcd% z3m6W%FbFLuAAFBno?6y(1*wUY>dg#lvY5GK1+e{Vv#T@ax}OKyapV;258~yB;JJSv zP4i*jBl?;B^GWrG|5w^~$8-I@ZEI3OUm7ALGfEj55tW9Ik!aW=6_M^-wHp5tA=`*~jXeLwg8yzbZYef3X$`Hbs*UFUV4$9Wvb8N9-EPcm_6 zA8pZcL~1EtYvolnYV+u1IWfaPqX>o0_p@c)OJl#D8_3!kj$RJ0k@SrUVDTb9T6}q2 zZFrHjTUzvm*;A@%M*1$N+?F1wHW#RK$v;OVPQ<=4xsaM}Ov-oq^iR~(KOrIOFTX#J zzEt0ya5*5>h*HVLWg@X@iSrQeqou+ZdFK_hWw!=;sfCuK-`!XGtljDNxC6*mUrS1U zfr6oO0^RCA^*zyJMX49{^5sFoEv49psiHA4d$peOZ;`L0q=YF_f|y5#l(-1BykEtU zHfPp=GNNyemQ^o$X#GgO!cSOj$3UlxQIZP3=f_*}9mP-D&wg&n8ld?^B+=`?yViF+ znJMC#E3(sYi zYS^eb+LZkj&jDu26QG49bB-AE}J1*LC& zrt<}p0xL-D0@CV*ALdS0~u--`yo~gll%6oM(Vl|)iXfaO`z4hyG)Dq`@3wE5h>{{xbnnHZ%I>C1vPCwyx|b>%PWL z@{+&ZZW?<{;|!q#+P$FkqO4Llt*x0r5e@6PJ7ImmQ!_j`=gn~36CRGh6VCiKV?fs( zv;yz!;2AyE$uF0+ zqIw3!od*KiBsb{v4+j<>HRLXLGbuh*u4Fp@m{j0;U4vF&d*<&S5&Ls(cSD`oe>vOY zpvg(H-Zo#j(syIP+OAzmkL5XEg%#YR=^DH*QS)I+*DBKDe)D*#pPA6Af$LtDTYGMO z>|3NIi=3EG)0!|D@3*4d{+JT31b`}zE$8y82wwui^-Ax6q~z;4(ay1h2M>x`kI{eo z*7T{SJyl;ZPA}Vfyc|i@HX53ExCsX4YieqiR#x_*peMKo?bdC^XV0EBog29t&@(kZ zpH!cud`CUX9iPg1eQjmF%_JO*VYJx)*}eN5iL@=sc})!aJ6UC>X(uNBy#mHjw=oLL zk}wC8%`y3iqFfl=oAR{k*(@8BC_iH@1$a{EYwr?AifpR9S|#(j&D(i8PmAuh`v;be ziT)m3ZHVv|=g9>~a?W%YKjLyymdlm9<}Lj)R7; z?r&I)SRLLIEys;Osp6WnTJ}tlo0~VE0AaGoDr)2hwPcTCILiAf}I8DdlxW8%(KEbY}z`7 zG@wDOtCp6Cg`gbS^*y^l&^_E~SOx%W6=D(_9}fiup(e3@8O#0{_|i=Qj-(_eo|6ls zS=Tqv(+Y1^VN=;6wQrSOYbD!HU}vydxY(f&H4TS1jaDwZiz z?3Qv~a}W35zjm}|-8N>BGLVM5tck%6Y1XeZRxKMyyA9kbIPVljJ?&-F)E+m<uPIBZ z(=V!ZV`yjtUDJou1CP2{)+&5{?E}}7unF1YGyXJHR%HJ|Q3wl}$DKWFw9>p&Rx@z~ zdwoszn4`f`SFCeOU@j$j)}|V3$Hw+nMu1nM?8RBa+>r0>=9&sfPyKJ6O!5 zVkQ*WLKbjwkBvEMlDZzm>nj4x5Nf@V7J37em7)a*IlmihH?_X^BuHg4n{m%(Ui{aK zAy_?M9#dv!Wf22+;Q*h*lMue8kQU^GQj-7I$CTO27Oboby+gKnYweH6DEE`3T+Y1y zS$)l>@i&8_m7^!bHD-rb=~EjObiZZMi9X-`pw+c9C%-pku7Au+isrN9$uoAhu3QMe z;wfvq!n`29<<^!*Iqnv6Q%4%K&VP7NSVjJ8AW{ULZ=PORd$(DLBwg&P(Rb#Q7tp$d3fx*Y|W~@c9T)FRIHR!wbNX_8`7hN?1Hb( zja@a-l8sGI65mxXH97yU3-JZyKlA4oTIODE zy^rQ#&x>e{=8)U~?`@2B>?6-k)R3wb2Y#?cZJe?VDltm6V%ydjgt2`x{$G+V zO35$xRAU_Crnawhu2Oy;5`Lv%qWB zcCkW#@i!Mic}=Njr=_TGRQrhC&CYz{^3g@MYSna^Jk9?_=jpsV!{0w{NLDqVkUl;3 zh^k#RTL>@>xrk&bl&opL!w0Xz z=cFYsS4wOBxi!SkY5Rk|&l(}mr=7#aW45xpUD!G^Q%e2F_JoI(@ZlAISNuZe(&S?ztA#G(LQ|ys5bnrZb|YOqqTb4=q{-4MrRG)Q&%x znYvCBa5elKq)dnRecWu4{>l5*Zag0b!S5E$6k1syeOz2pVX`DdA#+S3R4KqjIvqtZPks1)4rqW#LfS;}E@5S}Ch ztlY3_GT4&P`5k8Zc!k}~<@(v$=k*^>okuD2;!o>N~uStMk>BIKb$)e&%-d}GQ&(vP0 zd8XyBa3RWvcmRs&@y45WjYV?MZZJ}Z%lQ%Yv}i?^j{O}-b|GRjTv1QCu_anA9C#y! zvnJGc65vAFO}8Uk=bqfPx(=sF{@_la)*dCnu_iok;b(Hk(I$SVJpP&4di=AKUPmg;IzMWxkF zWfbMg%e6t2!=&QZIU3X4Ob+vXPd&E}fV56^@^P_Y_ji{)%twOvi-jO%p|zlUGV3k$ zma0%-s~h!KrS4L=MaXv^3wb$n@TJ46#j*LC&?`rzPrsod`KzWG{F9tFAKIM)<5WLL zD00eEzzpdlFb;bDFH^zL7vV8VfGvyy=yju!F$!>~Yp&T>mXyT1z2cRVk%>O%wdd*p zwTgawrr8cg;mRojxQtrFRz5>Q+BqtJL&0FhmEjeW1V?nm>u+U^nPB( zT})}F7c$sMB)-4YB_$=Vwx)m0u(^2gVqj8?@>^4DYfgZLsDeW9Qm-xzowowj#ub!& zaJJokL77!qakOB^6{c&ENcuo?7^o8IVh3j&Y0_0j>2IAk9czXGXYIpVR99D9PPB)h zno>ETU*^y8$jz;1Yz&~3o@%BkD?WOl55XG1-V?_#PO4lvRPvEU=h=^pi+Fm{nwn0% zR7)j)Cs81&d-7cWIY6qX!4GYU;^uYx7541nii_p#lQT01)BK-a4Skra;lz@py;eC) zSDncmllk^rez-zQhw%h~eOS^ARdaoERK7p?QHKt%G^^fH!P(R)uAAKA#6?gSFxZI@ z>=44J>FH?#nF#bLtF9hs)G+A>208$-Q2d)W9(%QIAExM)e1yb+>|Yd~{|mZT)#N-4 zWR9S@w70h#N({j2`X=Ob@72>iQDdmstwDV7`hqX>eo@m0&_sqE5takW+D!~9K6#P} zgqRGIE}!J&qX4Cd&g}ERz!X?@YdcJTV`wALr-_M)yRB(uu|_o^g6`n zMMhyHxjXKo;lf&|g%Me1&Rj=nT0a~l&bd3EwXm@+INPLXA~* z)BEmZ&$oXkIS3Bzt@A~j=Sx@1^}Bl9s`cf8ypT^o)VeEOT>)~IEa)eEPtFH-2jg%8 z%C5qJrt*b#_fv2nsv}Rz;hTaGbe|_Z2c!8`R#rT`y*UKx94=qu)6Rv^-_*M%O42bD zsAp75s{XI2^_BS6KUIHoik=-Ns~Sc`HN`7N@jNjG&bPWTIUYDkZeAXNp`t@itYa@; zo|v1q*)lI56f3u-APBw9y0MerTZ?81BQy%l*5+dnAQTDDQ0xE5cf2pTwy5Vu!%__# zVS_$0UHneONadB{$$<-OtHt>4}ewhTE8apIP>}s zMXBko^|c@jM*0zNT* zWy5y1jE@V}_UbF}EkEqOSr(Qas<9~781&ggvU0S`pD!j-*zSmn@s{jhXKFtk$&0dF z^B0?qQjNkY{wt(TYg{wqzrg7zPyHvDt~0mX45u>iMj|&CmpiO1>FDT+P~d8h&UM=M zQUQip#NVbC7Lw)$N-x6k z9%q>!Ve(p%W*PKj)@KqUk;j=$H+H?ZPC!~t!xnd8p!^P<7%XdnURwu zQ__(21yWGET0+)i)ycN0C-kS*Gu9+_4m^IP{C@u)G^;rSI)sW=A^dv^v<_C}@#PlF zvAPh*J$n2&5XRYrrj3Y!^Yrgw3}e;y+pL+VUuZ&J*Hx4UN`N0#F7gU$-a= z3yULDvOnXJZ#45(uu6CDxSKc|F7Hoqls8`b&LJi_+2J5^qdr#>71QZUL4{8Z=|107 zx#0Dc12$>_9v&3=7$JqRDO4xTMP3;FH*_l1z-)A<{@{1TZ8;Om5g_b1%(v*nCgRWr zho%0YmUN@N__hgFk~hvlFcfz+;Tqy?d911t?Vdfi7qy+Ea`1yW>6~I74x!G@OD>*QlNfbLGyS29@i_tPBP1%=>a523;$+BmmsA{79dQ0_VW#HKchk9TPow}0)m1GY5l{)YP}ya;y`5V?(hGGFiusJ zfeQO3P7(y5%k$$#4Yp*F4l|^!JLo?HNFZ)+hzM`tlwVzYy@~)$2wovqR6BXT@S70qxooPJJmqnVkP-&Bl)!4y2)bqL%rPf zuXk>ryzfD(S^ZWTA0)8St+G#Y{-1jVj-tjcdFO7x!m=tWJ9`GQK2wY&K@;Z>)3_TW zT6CRGE)IZUWwA-qvs0bZ79vC)-+0@U|AST;k?-=xCnnBAhw9tHQ-ni?bi#ktfx?IO6G!ngKjiUjWBoa8S$Q>IaGQ2Syg! z(=dvh?aFslLy`_|ax69=L2Sl&iwxNwLTN0BXPQvLHB`!Ou{ZytOJCnjh<}^W#)#Wi ziz`KfK<+0y-v#7dZ z56m+3B7cAnpRln1_}9NM+{f?Ycbi=y7&k+!l5X!_6{AA^!faxu1~6bM@s|YFO^}ko z!|mxda}4@`T7r(5S-W?Sefp{fopXVLUeHPR{QP|GU7kE7E$D2$8(KGQ+N5woo2XFL zA*8m&&?OIF-%nQDBI$&g`0S7pw2d`*7L^!w9xQanzk3Nb()oxOvQJ`kw4g43_jiuK z+v?}n62N^ua#i-w&>T`9S*>^Qmu|4lMKNAGE04to^xAUbX;^E%>*f_5>n920r@d3qS%t7>9>(EEZ|fKJqv??;g(b`xP5HcvSo`~Lj}eFkg>9| z5`(G8hfal zxSPtQ>W2HJx7eEv10vDfB8CWH%R*-0s{5S;g2Z9 zgVco0?ZuYDGr+;m`o`>oc``Ih+xyJ3w8s4o5>z;OCupg#19t9!tP4~;{Go?sD)BGS zSnaf+R)|jC8yOa6)GPD%pI)p@W;8Dpi5?UaI<2kEOa@}4u+P~)KYtmX9RTxmM~^X_ zOmU3d2KG1_2LL6}6t8TA`w1U@7_*^BcSrSfd$cv&Giw@ICsM6Ee&1z!kz3=>4ny(_ zrludb&zfxhZeg%7OYt99(BST~gn5ClBF^pbdZ%cx%($gYtPbEiEnbQIZkhVSu-B2drt^ z^2x7LVC_TDFp~sCzB=nITTaLHx zzHs4!`lowUAa)*Mjwh3G`GyokRvFFKkGCpfLHdwI&pQwsCoU~5&Cs_i%OXDZ5_c?m z9OKJ%xQ#f_`WVJrT=Qwq z54Mk*gEdKLKe3;jWzh?Dq>t81ygejO67j+1X`bG8Si|YRVU7R^e@PSvA<*$|zT2 zj~1*bhawuvPl$3{fd5hZG+LU!$^OidYo3!s!IXgQuqtkBm=+453MHFmVY@k@ELXrVe z&;gM2;Y{-CyTSY2869tH94CIn)1c%R+HvxFrs+d0su`Y%D#t+B<3$Yvaaj%W+WK4n z?v5uzMxQhvUSD5t=&Pupkggi8aGLli|C%F|kjuKQsbNrZvN^>S<4(+>i|0MtEL1-z zNxVK<`sPrDr$Y5l+$gA`E~=^RgQtP#@h=(TSXy|P9AIN}MYEQbM2mHn4-@td(zY*S zVC@nzT-FE<3zLJX4WJBR&-cT0IIN~s|C$A~2$ve1wG8U`veJqQJ$Mdb+QDWF;L&jZ z5ql?H9i*rwXl#ZW6B!Zh^-ymRU;OT(R$ z;x??Pk5vA9Qwj>01kQ(pZWZ9O*K!1N;|YyA@i_o5KJoPYcr)0#rvCSS7>^*w!*LXl zc->&Q;Sx_^xR`|-kvs_-h+m278YIs3{{5G@ce$0I+LFP5n6$KAfwH&02ahW`PW(be zf1UGUcqz)-9jD?iMsRa;|3nj37oWYf|7F*={aBHqi3vV?sw46%TQ!3J8a~`@`S@)r z`0q75iz~R*;*Vg(_QBtaIQnwbeX1#pP@I7WLMrt3**25+yf2N1;#eYZ5u;vV2}GYy zzzSQb7`_5>q@bcozrASvO0u8^Khclc-mQ=EC+aj1;h%i{uochk@#Du=X-_$x!OZ1; zm%K8Mg2%!)M|bm!xFV$eImUh;K9_zk^*>`*0I@T5#s`{@C4RFM0E#c z*fpPKrx5exqAy?AqsyCklXGvZejb1Nw&2HZ(7|o-^$_DpdG>Sui2iXzXferOdVNJ( z`(FQ>ao;ZhfB2%@4}~*XWy{=ugNOE$5tLH*a zjv(ueh3}p+(uWs){rwzUHgA?8Vs!TsWIw~$^3Q?b zvE%iL8?6qB{JXSi5GEO&)`sJwVgbz&o3XRAv(ETa2PY^`av0Q&+cs3nIUn)|zPAmA zhj@5o5pJWNdZuSsb18(fZwSmMa)97q`a4h~)d5sHvb4A;gVI!p$0vKji=Cu=?_QD+ z@cXis7Paj=c0Aw1r>Q!uUBBnDmNBE=;#9Y?jEqM&^A$_5fQlBZR;7eEne`@A949Qa znv#c^uayKh>5fcV7#CO+=jUf54xir`3#gr*SsV$?W*H3pN&dAG<+Mx!S}eGdi?cfn zG1oJ8lK-{$s;pJP{I42+9cS>a#}wFM@Hqn!gQ$Fw1gLMPpztI3T!uBNUsoFon5Wmi zPc8VWTz9-W(v%#fv~WIi32F2jLS@s3SPfe)#S{1E->2R9ww=ToKyqH43&NYs)?Zd6 zK`~bcdzC-Q7-l*7qx6rhtgMtZ9_p%vu!!s8USnaP^W|SikX*=08f~(qNzkhtJ=TxEbcyL{cVRs^8s_#nqKxtn3JQvC zFvJL&SZr4k0jLq56kyZ7xpf=tXtyZD1)eGZ>DV{RKt$rOr4F&Ny=oK&Bo>SNlY}(E zPl&=$=8pf>UoP}*?6C=JsbzHo`;k3b$NUR zOzvbL+j4mx6?IfhR8*$RaUr5R3&O=eFND~^n;zpVEp9s%y;%l~m#axvH8l^5iHpkt z9ey{vC{1&c-5WyXMo}Z9PuZe8l6#n#jLr9_ckCtAIgZ$vn!c&m@Qa8zg5OZ_jCmbw zXw*iJ>@AS&4id|BX8p?bqU;|2c_*Yuj25dS6S`I-hRFQ~vz-Q?+Bw2a+9(`i1V@yv#!Ep38S{^ro$wE%O))w5m+wYXiJO=A6%Ml7 zAaW6;$6UxX-en{LGqY$j{sdMi7c$OrKUV2XK+r}YKn`MemHK(H0|C99Da7J<;PSm{C{xUB?v}lw+g$llg=~gkF6KA{#k|v z$tEku%k_;uZwqRyR;%~@S|&);XdoGSFCi@^s-O5sdr!>vg(C_H5KM@K-AAQldsS!^gEroVub$|E?NSbLe2@stKrF#@CC-ddjTs)))9W?bmlV|>c=PW$geD`aR$UR z7>+i)I1{6T#_AXVWZ1oV0kaMUK1cYQAqs3zg<&KRhQMkIOUw5*IcUzlnQLcMF=SwL z7n`i`W@xnr8yM|aVvc6dH2wX8k^51j+4+aw&*ijZ%<|S%Nfk>tpaGhZ#lmb@M2JLk zNT9xM4JGN*b8`eK+%0NUb|`w8W-lRvpDAS{FlOMBzferf0H|!fw@&?a6b3CIBjRzf^9wfGpi9Q67K!&*!@7Ow}3~zfc_#%qezE=};aC98C z%CAj(5-A+T?D@gzYKvm_SCbk<-ZvwyiWo~XbGVy5)el){Y zuwRvWKat)zNGziC+`=V3kyVT2w+k=-hE0^U<;b&*#=1{JlnN*)4FSEb_fv;8Bk@F! z=FQTQAzKz;e}GykcfQqV1>urx2h)k?Xro!+D#R6nvV)LmfFAJ}NjL77V)Un!^b(~L zuT@NS7j2`Y?1jJqfKy$JG`X;G>sO%LvJm!y2>Jfoq>a{sCenoYHKOAwfF*n7yZ0U+ z02YQmJjU}04Fb@n%*@OTb>@kqM1OCVghYt6qDU=+&gM%f& zC%+-R296aAt2{R;m*Z~}v>xEO3f!q<#|}OPc@*M@cVctS5O9K7eRd`u->4f*I%op z-sTRJMSF%MBclVtEr<#(DBMm3iJ~DMNMP?5SR66o;y{tb!-o$SmzVtm1F!0ta|cy~ zNI6U5EGO@}fZ~RbMZ3CjeEWT&>hRKcZ4RE$w3+VO8qXK`JGV4HJY41ZIfU=Q#c zXer7RuDkzy)Y)i}?@TPf3f6rE_3>@biw1`9mpGtWipL@5xGV&}LUtT;0ycP%Gm)K8 zXq$ISL#4%RY^G0;yJ@DofvtDJy3@ek1|{6 zG+~wT<fqt|0_?jthucd7cQ)nGAr3fDDesYY74r1DR%u~NMLi-j_Id3p8vh)?LCdvKm= z_XJQ1^ewOOJYPX-@4==$Y|Gpc+D7FY<-*zCvC=Ad+IjDy}I9i!PoqllX0?`q5O29%JG-*}s~( zXh`#eS4{GeUsE$(6z(|r(vTyfC{r7!ECx1m%c*D z9-b=Im6nk~Hm}BKW@h#Xn)of7${QOT4DS)7Xoi4*K!b@W_;4cX5u{{eZl5l5-*VbR zP|Z7??(-BPlDRS>^xU-8qOR+N1zxHp!^Vu-DV^BPhjZP&FJNq)oWwH~%6*=_J%Utn zz%6s-Qq7N9nCJxs(|*2_Sliu&-lFlirE0cb-+h-76ER?DczQfx$*1LRuZWkVNUd+R zKsm4OxaB@LG_<3y4*?Yw6&8i?@4QW`teu@*s$Vp|o{kQoa-JL|FK?1+k=p5!$MG!R zZ`fMP*-BnYfxf;z=qw|y{3I)vz)%+$T2`uGX_dsyTQ^1&7c*cp>kZCTTY%fvYV$uo z-7_;cU%chv;c*VjWXhFE?8p=ia@~wo*JyNRY<9n_bou0by;oE=_g=EJXhiTnymraG z$WWf#e5aSh2XlCMxMN^In*Z$YyS3))B@F2}26PN688q{1t-%D=?A#zr`_Qnk0JWlO z7hI=G&s+N!!8bRq9zjOzM10PeqCqGnmxnHgbCi&Z&qGO4)3LF!A<@y%b8yq2Qg|G4 z=k8}z@Q`5@b#xdUc~jlyMNtJP3f=G77oP)=aHjTj+?(|4OG^0u=% zEbSr#oeySMUj&1dndQR-@r8uLgz3xeuqBhTFC`@(7JqJ0 ztp%Q88SkJUSyWV%z-AiS+*v-iGnOsx>gt+vs9j@;?yJ%2?Ug#Rst_Y~HkimRlfd%r zE3q*EoW07yA4gI-EV{x)2 zqOhUE7Vx;j1S7}-!D2KJ$0!0%*79^`F;<{Vy}GkQ<9@M2c6GF9VRuifoC~k6u5P#Y zkCxSb7HjH z!4VNyC@3gvAVfLzuh+tuldgvb1~8%o@ABcnXu$Ap?(f6U-+c@Q1JWQoA7F096mY*l z14HYWo>pJ5>m?#*Wv%GHk4{LS>4_ww*U{AtNKa39T??UR&=O=a+a1p#=j2rT@*W=@ z6O)42^F;V(YO2-gGc1EQ-BNlXA)m9%g8cwv$NaoDH!p8!nt(^>8v@RRGI?29EN^db zqn*)A?B{b3deE6!w>~sM>2wwMlGYW7Ihu7N`(X5h4%Q#thFtj;(2{5h05%~iy4 z@1JB{Lj$6Vi;LZ1^>pat{dIDb)!j$u-Kc^9tNvfKu`PXAn3%zuRi8t^T{FkNh&4JN zc69_G(F;(^j#S&UKB_q$%qT)*Ha_tmk5c7#6NuSt-D_G5LZ)+>-Gjuc>7Kw60@bHWvka` z?$6iw=GG{or@E8V(~6ttp%flv$l77;a?MRE#AvqCRCOs2#DmJMhS~yjnJ^|QQc_aHj+dId^?e>yH=ifxw(s{Qi@GP(^%)-?9|JyS zqZ9EuvMeu$7F+TBxpJ*`TkuC)1IULlt?$zekBA73TQPC*ka~x0y;Fgb!rp#IpJFe) zsS8#C=Yxd0!T;rYBW=BXf$7AwY6Uq+FUr5H`ik_w4F>F80!6asm^M<@?mv%mlg!1ICP^9W~&&l z3i`I&a^zCD$*fy$KcnN~(m+@I)2CouA@8QYeSPR6!E_|@6UJXcumAphXSCK80>wzj z{iz|(0}wt*$5pkpwb0LUyBwu--^!-DNJJ8%gHjS}>+Fo(-rjE1{{3~Vk?f~WXvRI^ z=uAvZ9m~u5{8ux^M(aHh*vGU`+`O_Yj@tey84=z2;|Cf#7MAJdQ!dUGbRpuHbm^$% z(-ny=3=LMG5RgN67pzOSuFE229D^pgb=@lLi{R~apQSaO%*@QSb~qADDBy=-Grsk@ zyFmYtgF{cs>$pP-HoqG{N7s0cba#u_{ou5!OfHpd62*J`hy)IcIM?UL>+bKbk-8FC zjk~DRJ&l&khLSj5qBVP5V~61|V~_BkheKBaq$74n@@@+>9~Qi>7maSuHrL{`tt)QI z8wn?3+`59%*A`utvDnRqG3jEZE{+!G7Zy)JAcrPfH%LODA2$Mlv)1+vW|H{)WVN$n zVnVsArzi9^5_T}9bX+i*Xdrxm2wBVR7Qwmq{&ZRGO~%yzrO`^;H*yvh1rrmKglhs` z$9#Ac6zmr-UKni+Ca$HrETQ|szIp3=v*L$3c)xq;?ojzWV;mI{ORpZ9$Zm!R2M5RM ze4r7A3$5)hf?vSE27_W1TD$D6EtB+KlK=5yV(Xp|AD_<1$fygH;cn=wto4b`pT&Dc zTtXtuEY0m>u};0xU@D)wzrR1cyuAF+U%x2)S*QpdwuiC)OY5OtZl}Fpw{}H0A1zpL zyUGna{Y5g-Ci3KQp!)$08ei9gie3gIII-zc-T$^807O=ZBj%cw~T50Vb3vxFzqpx!#6 zra3`t5qN0$+ua}5hC$bVb09tp@E=*oS|4?K)4}1>7Nx;70d43$@L&E@&H^jHwNEXVLIZ(t4%=*Lw@{I7>cVQ2pVVSkO}g6p5r| zQ9X}C4s<*`S^yy3SBLXM70h}~8W1RCKqGexHmdL+1(k)+GLtL{Dv6+_+`nb-d#ehg zZp71#82L~TzX{g`efw)lIXOAxY-~!e;NZgC&bLCq;^_mHA^}oDn}UJ@o-7<84T^vK zuI0C<58z$KwFpqMje8@p04ut(aVpQ%98b#uDjU1>V-U-3^**U!1PylX;2 zLi(?oYt&dKLQxdb1&F2PQW;nV0N@B_W@e{@>?6To%cVi+NH`wOO|A)S0+`2IY;eK= z6?n^4Hp*BxT>?upm2hio3vneBHLwqq-PfeK^6AzUk6>3YeQ(yIga+qjN_cbO#Nf$5 zZKZ&$9vm=j~J5wi`*v~ZTpzucnDULnz)#BJ# zH@dS#yB6_-C&*^(`^1*pq#7TPA1~2BVQV<>YE;qEO6rdPosvSBsY2InRl7*_5(Z}I zUI3aPjNz(_dGrxH7nhgSUk(?_4gDZps6r36v$)K%D6(ab){6}xW%j0o!0ZslL)oW6HxHj z#OfLwwLQ1s4Q~bQ>sf=qu0;u4B|sR6CmtR=p;yO)Qze~08W2Aq85haN3i}eYEQ|~Lw&!#DGHErN7q%5-^>E_nYHjpmM^dH1 z;*Me-cZFau)=+~4iIt+%bKArUI|MS~Enu?P^Pnn|_&ij&X@C7%@MW?vwr(>{dvJcq z^L$7uJ-)lUo1BU&S83QGhc&3$i&)j<(sHw@i664CxL7jx3`!)d!Bnv(_B>#)2)HzA>)&OF_cThf*)YN(aVHuiFO-&t& z2Xv-yXvp+rrTt*Bv3C445QRv}(((Z7sKD+4uw=eZa&o0-cYwgg#Kraap$dLsCH@MM zqN}S*g-7oE>HfI(#shp=b!j`4(`HFVQxgv?D6W+0ttg*y4>CVLzc~l-dwTjXp{E-^ zK;2WpGPAL<{r&rwl$||BG5aGr35mRtQncGMD3&X`yM2IN^q-FijQ~Q>JyT&!Pc+@$ z{_Xy#apa-)WA+XHnO19|%<8a!aN~|Rk^h^NSht2!p2DUjWUaQqx0A#+7 z!w?5{l=?`TfSrQ_yO3V)sT`Q{JFSwbz4iP1dkhSWPQYMaw+THz_(|og2|eGU78De8 z_4dM)JMF8%zQI??i^f~;jq07BpMSVsY4`h9xa`8zdoc%U+Wpv<_gjZRUv*DROc?1~ zq#qmH3dSWTOMmG+-MEm#2%9;kq9u-P~`IIIJaPf14h4a`pKK*(zDeb{yg#|U4u z-UuKM{dIQhKnJqfpdum~jsKQ>c)VWT8abY;QW;Q>5=~ltRV|7@`CsMAvSBZ`DAE~)x26Lh`k8DR|PZ_iotOMMhvifNH$}AK$!Dqf)^iS3}4ji)j>=DJJ$?z}k1G%SeDIyt%nqIX)ga z+Z-tJ6paWEZyH~GwQ@PFzYR#7e?Y)ko;-;jpjTmV?T-5MAftC{SXo(PpKzdGy}#GC zJiodsbxdbgU37bo|3*0qg_0 zxwgF>)Y>Wp^kDHM93w7C*viU^lzuKq0E3p6Ea~)TgGJ+`?d@JL_*)RfL-RnE1o`>F za4maQxoL|o^h$U4_Qrsa`S9UGPH%BWM%#ny8zSCc+Sc^}JPunc;Hx0pfMR?D%Dg&% zF9^Wd1}Az0nU@}yd*Wq!%|OQ)?oX9$Y;M}Ew7ob_Hnh^cb4`d2r57NMXA>CyuQ-*e z711~AYuLTfeb)EMmFj2NALtB6g$KSio>Dd;U)kfn?M5H+}^U9|Dyr2MQeR~A*cR> zrzgJ%{9KKdHf9ee;BltHKN2T%tmpk&)FI!#Y<5APjS2_)$KmKVIGfEF_Qbm{aaAdy~% z%LAD0(i#Z|OayR&MDZ|eRkz0+eM0knpno?(oNXU99&c^N>-Y5b!sRIS0T!!vSUY>C z7QcP#kARWDX@!4(eVnIVYYkl%Kq&|T|2-FUs*gep$m-|5aBuEjhV}dA>kAPCnt?9L z_^!j4ZoI+k-r4(R6%LT2E`X&&fOhu*;s|i9h%-*u54OU5l1?sNa0rAL9=|IKs4CEl z0L8xh`LW_6JISH!pL_LcO$jc`r}B1#hztn{F$Am?WEJotps=gi zu#gA>u1f1g-oQ5mJpiIY!M2=lw?W4XVraJ95T^C%jy{V24E}t3#0&^j|G+>kA~SJV zzZU@_?aZwYN}JEygp;kGVI#=`p|MT zL`hj0RQ`f%@?5ZFKnEqa%0d7Qd)d}x-wl8jI&83Ml{7r%z-Q!57owpFh9mL(0e$`X z^B(wM?et|$9Zu7_W-VpCQ6yYk0m+0wpf5e)V2vnOsAd%xhXa+#V$>CkPcq?1SgmC> zdB|nG@b~_>bwpWSpgS+!8+bd)AWbE5&R&C|#7e!?xpM`2&H-d(AS#LXEHfT3lfZ~0 zi3Ox;trrUy%NmS5FDKP?ye=m_Puk(I=K-KHye&?0WDE!js&YI3e0F}$sD&!4`{nZX zfrQJN5K5csEp7p60or8Vhy+kNRp5FQ9Yogs5hn#+@K7=rJMb%tS~M>Ar=z?d?@s&a z%T8v^(t*F`asm*K1;})B8)KxR?Y;8QWzh=+tawM}ooO*lg^E?0w?*NeXniWQ` z&$otP%%8l`Kyadc|NHk-SV}e%@H}|jFK9&I!(8Rk_%*-kYd85!ehK)Mm*$QLY)&9K z@bM~P*0Eo|D zcvi`L`joG1>e#HOUl77eO6t3^V&LE+4PY1^9^Rlk6boCIrS;(qsW+0SsP?%#82ue! zwfIOwswJA(~-6Ljvcd-lLGDuzDD;B7< zbl`}b0qM01S$MazLkifvfF+0^D;kNaKI?zU~;Q2&=fB-jF zXBU?@b@;(&V0gF`GmN&NRSCz`#Ds#3jEq6A2^Rzr*sK@EY|(rG8MnXyz-G2obrlzJ3;N!*mtxHX%CcrRBWHUvCN~d~lLlEPh z7h@9P1YD6tWi1VQ$H4%-2)L|G0K!}x&d2L}-~NZMpo&c`q;j}le8Fba>Z+dB8~805 z^GRCT7?|aMzD@-C!J$s=HQnCc0%Wz{FR2}`woqSKSeR*YV+Vq74NT=#c!@OiIk zxt-(kITwr5OWNA9fI*M~ZVM2p0#uBvL<7P7^8n0}>mbS4(S2L{uH(m}6)9W-D5nR5W_1)-4!Ov7a0 z*~NlBO0elboZW;h7djD1GkYK=27xCo48mr}_$w%7--?RpfmLMy zbbva4;4aeNcTxNuAVd`kR6yHmHMF*fwpwcltUt8H2+SN@=%|5PRIFK*JN~=`Onl&4 z162byGZ2WosPErj0)zn_g%7d%E2Uj?P!UhSVgOlMT9Qd*3y>godj%>surc=+ay}oP zS5hsxZ4&{}Bo;+10PR79gogtl_y!iYugNlZxBeU~0;^%iD=<&sR2EdSoPjFT2{iLC zsK32nu-~JiP)WQl(9MQZR`<(VOW%JhtpTFA7xYGYGKBqHL9w*6wKV{E_$w~%46wH8 z0iHtT_>o$`QO-cMX9Xz%RtK0k#$Y2r^e0iDYTP&E_X9!S4klU;8Vg^hONn?>BY_W- zrBv{rw!gnTn2iAy6k2@%SpuVeFYjF<<>>ex1g`Pb!7MP+Sb(JnVgitIWMITGg2^!h zVrUZa6a{KC3GiMGfd#~Wx0C(q_3Kl>k&>uyRV*0+Tc!r|+!#<#V8{`0ad83Jq?~=O z`*ZRloA*zGNt z3I$>^s>-KDbl-_U_d(C|v|DPE4_aKt0BeSJ_Mql+5{E@0!=UD5J-wb8ovE^x7Twc% z`g3rpZevnd6iBt|{v>}eEDYcu;6z47g5KVCrFc2Bs%rS8Ca}DMLqgC&8}}6~Y$zPD zYg^WlQun&1a{otoW3uVK80s((6A0B>jG(pB^@eMK6bkEPVs4tjp_^a*S+GId4;4qZ z(U~JYzn~D_8QMq1w-Uh}pkUA_{{S`gfo?*yv9TGeGLvUD8z%gjoNQ5X3^m!F^}%IU z#~p=J07Qvp^1xw*b~BHTj<8L|K>xN2L!O@uG$;LmJA%t?n=u2X9Gk-i1g-&7C`vr@ z_tf-sW@4WQJ9I)qhJWVOU*>BLO~VZI3k$zDO!k4UB%rA;%k#^=8XbBSTi-T;4eZk4 zuLC^XXd+iub;*n@+*Au725m}eYCvOSPatMM4ik;ZW#+k>_!Kv`3#t1z;nC9sH8kMBJMrw`B{ z?=IPKAl_g+gPZ+KkNUcM_R`-q&zp*Ojooif451K#08TWlZfsCMt*!#SBLIsG(Eb+? z+czY-rSLVou7Cv=)WBcmTvt#HXdW##sspf+0`3a}4i1hTprqQrf*Qx4*OWLS`jSR! zrG+Vk-01I*8%|QEgf`Wo;fVf~M zbJ^6)Ff%d9fim6oKuVf&{!{-Okn67vO4VuoE2!2$vGb3QkN52tFW*1oXH$e93;wu1 zH4enZEqF2w4NbWVO*9siWC2ghoWK6Rvmsj1z%UI1Cl^w>y2QY$SUNA=eVvH=-x(3} zlDfK?wd3gMw}6&Og3gy!60XRb-v4{lXxZ2> z0mx!i)A9Yk!8pD1ClwM(2Tp=}5%X+H-$prXbW99^BOdvG^S~dzJ>M?TQ?93s=`(zj zF!fge)Hy#UiT}Q<^a#TI9RtIlQHe)^I~z~&3uX1nprD}t9iJ%(`6=2_{Elzw|I1mL z|344sOpdqw@me^YAUcp-G(J|KC|LUYzwLujsfglr;}!GQz4b*AB!Xzz*}fKm_Xwnv zycGGr?;js|#EV#wrF!yJoF&E9ao3^6WA#42eKtEDr6?Fqa~u%P#KgSGjs?q|0S4F3Hlq z4iFlkIlIG{TmAyZv^!T#4?={Tk+EcM9-yM_YRBvI5pZzB3bz8>?cYBHGL3SF7cbj) z^2Z#Jc3|5!B4g~FZMQycp+Cvp&9?|kDG_nZZrB3J4i4D(eVxb!9shw)EPCLl8v-Pm zT>6-)Fj}Zee=cuekn!dnG_;c%A`l2><7-gO;LM2kPZQi4qhe6k=cC|E_A~!oaDdnX z@)p>(K;FWia{{XZXcj1{R@c(g(2(-;r<9ko0K0hroL*w`NCWck?Cgxe8{GJJT!DuA zU~=Q~tCcjl>(Tz|*zQYZUb%L~&A;v8ewK|2k7hq9IGjn8(iLo=VD!#>k*pWP_->I0oL#fx*zLmu>)_S$f76h}2QBq`(Nu53H1hbO0cDC097KR=GhjIZB8DBDtSXAkoZjaF6dKSkFPM*X0Hipa zJe00aq&t{t6i#H)%}Nt67Z-P}TX;{g8kL+Y_)NK)wJr-Ckj3Z7qmiN|={^}r^rLX5 z&WdT-xjCVbP?LNNjM`}UyT5}yT5_i*)QsZTy(5Lx$Jn>wX$NZ-sw_$KiJXl28@rns zce+p7TQ3CaN_kuId$HIcI~5*$4DooiR}HXhnWrBz6*9y^lnUNIscAfYQNdr}ICA~M zZ#!MLUU2$e-+8(&Td8n#_e`;1!DQ{LnJgR6D{w>sTRB%I69`kN7Kav$jt&tZ6F@Td z#Q^4S`1EiK0qyyC;IKd&*!K4J8g;g0z&tSp`u(bj0PNGy(sf?T_O!pgTjn#;tGZV+ ze1!Xyhr&Mg>`2i*FITW@zZju-tGfvWyj}2XE8=ji&W$yr;i|3=VV3vo>-VECkwak* zW9LcpT1a_CwMqR`<%gJ&Fu5kBX6%)Vi|uEB7wS@{h~H5ictI%)Hy%8gxuSNQU&4gd zk>}oy#`@O4BlEW1tR8!u<|UuX`SxJ_W7_#AN5RwZBSS4FL(TpL4DHUKP~r~lWV}7+ zF@xFpUKvG7Si5gfdt1qpXx;Hv?4`3#!4`losAV%gG2sRpHlHLVGXYDoT&Nr4m)u;a zcc6*gTu!O1s!C)vh6N{-z_EY{z~-Qxbt7ZrLnj<4^fdd#Ja69mr1g>_4=!@Xy971Q z-)ILg5&ANgb%aD%+B$3|v@##L!=RGfVj%nI++HD4Uc17cN5n@T;?z_<$M^1H&k+4% z!YNaSAf6u+da=^SJon;!ogYK+st$7Ef){b*o%$O7hNcx67t;VDg@t(bOX^HT z>MU03>{rjSIF3+J7?a*q++X~zt6a27+?YuKc_$Ya6kJ?5fY^Ejy#tVxpE|-f;-60S zLtRY|)^c?;K!?Dtgebcq{8#76wrB7?y02$WC_zVOpGdEd&K%n;Pt)G~ZuO6NWS;GC zp*tmr-o^PUfeRNbHdYlmNAviQ6gYEwYHL=V2X{+n{2fyR?gZD9IxinonIEyD003$4NmGCIZpZsXvbgbc(BDzh}8iL zx96!TgFKQr&rBC62Sac{LT$Z$LC3vbQF+;B5mAY13H=1~TWoBWxbNl`Ju5a#h<|tE z#dKsZ>n>#Y4%eP0r8B2fJ&5^ByjotkiEuL2M}{@7wI1df&O0<4Ty+_HcOx^KGz?1# z|BbjEHOrSWR7VM`C$8hF$q*6)C`>Sarf7%LIs~8cv||XwXQ}+kd#mLK^ID6!-yc{=E%oRsaMMH@Dk6`g(51gE5N82z)I#1Zb|w-0Vl^1N0F;`He?EA!Y7 zb2<-;*q&K!?frBZc&8_=uWfhe2TP2JYyykYR^z`)?Cg*8IgT=k!)>#JB5M>Te9g&1ftb1m8erFzMsUTHumcwpvp@ND?uifIqGl0S%TB2~8*`CgX!1rQi zJKxa0ykcSI{xEl}c3;JqUPJXvdF5}d?H2*^uc*(L=c^trT<4SOSlFj>TClNm!fd!XVGSU))jLf-Q6-tT~IDe>=G02-)fXR;~>-{ zgfFsS`>~7;wG!M>5(Pxu|7gmyEwZl0Jk?vcc>0UNt4;#fR zl!JMXB9--^6LRJ9u45zsUSFO3Q77cYp?g5G+-3RI**WU!(bCT}fflhG`wjz|>_6{Q z$15?Vq?H-HRivn2YA*)Ys_SEN%K2|@yA1sWbbKR5I+|kl%v6T^wUJJmWO zVgy3658S6HRA%M zk-=#4TGGN|%i-cDcHaA3+)0m?y{q(fq^$)rpKA+YWkf=$jVY4m!N+ z%1NHw8qe%RJ*pTBNo=T|ARTQn&Ci`g6)ryu=uIXwRR`st{JhsWS90rTvS?mm{>F>x z9uHfelVSH8if4T)f$(>>wKm^6YWc-IKO75D;80D>HFF@rGUq!O!LwA&%M5R&QTEe^ z!Ziwf3f6w4R1!DkjilPPqoIu#m8>U}>)$lddZEezTd0bd^|-i$wjnG-?=q+V@O5)l zB^z&}uTLM4Zubw8y^%H?cU=mFJhS#1FlWgU=RcAgqx}6%#l(faHEM@9cmDjH+h^eW z3&z%-{opxeA%$HA9)&`&B)81g#BC%`(FGR?B}t0waeaY=zhP5R1(8z!Pjhm@FK+Hf z>J4fFZCt)(#8m6mrnzq+Lb4RK@8b!wZA_Nh+yGCNa->{1dt^)*5bEtp2;rZxU$|4snslJxiSi5KA(VPg<(D^JB=_oZfiUFFRfZ_N zi_!OmT`<94=>+&e4NluzTSsOiOCj)zA07Ys1P9l(%Jo)Z-QMc5S8ghp+r1qwC4F~} ziWnw0o_CGP&0VK^`!SkAcG3eiZzdcJnzKP0?c{1(P_cyFE80-l%?v};ocQ(Rk~ z&j)XuVD-Da+7t3w9j}gc@)~PaH(&*Mt`Hz)DDIO-A(?33Hx}Mrr44;vt|z=o8`%0{ zPi%VEA0zg1foPX-O)?Kno;S#KoabN6hp4;sTWzhl_RLOHGBLcTr*{abtz}CiWE?2q z=O0>_WUuP$Jzmf-3HF9yI0Q%NY7`mA#^u`G{55vbW6b#^##uclox3CnRaPkJ%O^bMIkD`a%y!)C zEDp7JX7bC+m)?OvsAZFOds#AOD+)>|9>brju8UdmWCoZ^{-l=`1zH>GIifTtzz4d% z9fgFf6h04Ob=b(FxL56i44vkK2D9(-lV=GQNK060~DD`kCARYAeV; z!tU+1M67F&OPV1HDe!!L-3;& zX8i7~i(oQQUe$~nRaoevZtvDw=tvZI@GS9j;$S)Rc{V|c@row4U1=|1p~ z=K72x3J#??BkqT4R@x@pjL)@Bs4WS|D1Lv7+9szxRplg6&TB?s3_fn-g@@y6W{WN_ zTz&TDe|*=d>~el~6|c!^^x7xwIfn8+9&)nW@|>gnq1N2yczvT2Lm+)6z(?O;_Q~|W zZ}t&uHOFcC43n48M0^_gw1t|sY)}n*F8$|#CwXX?UGsoDrn|k1@Q?dIoR+@&n`ZKG zNrUUDB}bIgE=}cY1Xicmq`P<9!#QfzRwUpy@WC5iKa@KhcY}l(iX+`4RuY z;(99oJlbFyuH1$Z(~Q8y*7mzxtw{PV+Gxeu3nr^rC0>=rx4m=57PRA7=<67rgGcNZ zghk*NN!?G(_5;_oCpKrTAOQaHAK7@`pDv6a#nBTR>m=KG`s{f)=N)}sx^iP6Xc^p# ztDbgl=>g77UBRO3{a)>WnZPtm$x_?XIge$;$jb4JBMQY7^8#xc>dNe_P0#V93rWDVhOcF$7b9c6W9<#Udt z;<6z@K#&d&bw8-AZM9w1eml$rLz??oL>T6Q4@oVBMC2wJwM3hULZQZ@QLmE(j>^>3 zR@?hU8mwOhi{tU`=ws;~lKk`sJx$_tqI+cD`-TPeee7DG#E*{Mg^mwAf@0y+Uyibu zQ_Ekw%@xkmVm`8)3+VAmnG&M1^rpNS-WmbRkVf}ueH`~eS8iCCLeZf0IoYVZ1Y&SSWmg{76VJ#wycZ*B3O z=FcR!+fUMrfnVb)!=wrR?VZj3DtX!aBep&kiB{iXtR^=AKTad9&q*PW*@ zO2SeOA3wE%1u*x~-HkfYzF~jgm-iWmt z)nYq^aq5mBVXFuPL(3m<{d8)$Uo8<4*Cl0VKS=GNf>ZoSwMCOHuV9xx?3a6teldSa z_#_)IgOY=t?b&1)B{f}bas85~zLAzmP+Dif!Ex`R^tMyEXlT8y-DAwW%Fg9jtapZM zaQ{0mcb%eIT%cUMO(P$v(vGtTl!Pxnv~^^ zxO45Do%x@A6)|{ttZ##~{=j+xzv$NVR?O|Ao$S8F9_0hg2+h`;B=!Ay3l)55{JYpR zBwtcbtsk$A3?uQ)rZ&tsMTPkx0ZXHEhSPW#Z)T$Kca2z)+5N6ejgAaFMpYPNsSUw9MSd zW~#>J!HE%-FH4Ipb+EO~2Jtb|yv;d2?gM^)bomNy*}I}93Pe?*hl4VEM@UJwe$fxCzBbd4AuaJDa8b8Y z?eAxs@iAzqU;8eS*)#1z1HyV`n`>cBK+Zf7bPB5B-Mwht+){6029Lg{APBv3pt@dK(vVD~E)2C5(5tUT?; z-Y-TCudO*8%nQY?tySeu3W|vf$QiUbVT)Q(6zmFiQWn4h<^i~wc{S?rF#6=tbi*Yw zTUAYTYBM+xOr0_L`6VK+la7C*$7Ur-VVLxBpS5WpQ>3-;F>~CHU7;9Pn-TLEQ4C=F zK{0tLa%pg$HLCWiMSP?!&GBsCv3mmRYuL@s-)^@FRO>geoo zN^6^^;V;u`N8|gtH37SCprwxqx1YJc%6l&iJ*@$lf&Y`cw_&wAgpK;IqfzTLEr_heX^oTs>& zBzC5CrVfddSM$Of?Ewaw%{)<@nR1~-0kbN`(tXUe_G%(+JF7gkKL}s+=zUF09|zh+ zQ8T7-R<@?TS?j8=@8B97m;e4K1?7J~9PDx{%{X-Xv3PiD$ZI-9A_={|XQ*+FHC%?9 zUvoIo53mL)rBWUS491`>z<6dCG4j7@o3%RWPVLz|=3PSOYI=?M8Zg+GIyIZ4Vwnmj zf2Yv9yQW;iz57_Lp9b_vF;68dOC(3}A#cx>f zk3eVh5Tn1LpsdY928WWe&&J;|YIKpXcy;{-XHDAp))*#fFxV=y;zd&#lp+EfS6ZRg zB0M%%9K`NTxcTIU*v$md0=Z$Upr{_-mcg6aDlY#kre}m*1Ua1jE6U@b5oL?EN9eN5w|b{JWt~b-q8VujykXP+QyD-0#&I`J5EKhWuT} z4;O3P*^}Y)=N}lS z=Mdo!ZI_PWUNAZ1W1uWYqyS9*T$aCstYw8Qm17*c4qN1q(}fmZl_DI;^J|Zk??p>p zX9BK!ps-eWS)dB+FK zi4q?C{mC9n8<)Ce6O0)IhfVXE2g-%ark9zM5Se3sqUu7s8hk`D?jH#Q@r@(r6YWSF z*cL<6;&=6IHQFp(&TpvtTc6_ks;bv}^~w3n;H<4#>l$6&Kh-&jm6YmS-2dC<;`VTU z4av-O87nP9&n`yW!ilNqbn1@npS23X5i5 z?)H(;vcrGD^dj7Xy;RPnp3DUM*V$nUMazO$8b-lpSvSN*qQ~*gXUkdxpyfDkB`NU| zeWDXg7zFh+T)+SOcRV!B!&l8DkG;qjopgnP!-Pw{B_<&t?0N$u`}8DT^A7N%*`m5M zd#@PAAf=LBr*d!n-@V^F&}6jWlEN6h$pj*Vydp4U{>pPug@iPQmjrgEF&}?!$!F@z zRLb0l6)v-#zpk~Tx<)QLa-G!qp;a_}_GGvo?Ro9k02fi{-D)ryCug%#cH`Kx5c_w_ zxL}7V@|~ljg1y%^sr4bAR4a|XimXAvTPT5BTi=EmrL$!yEw%bPAS41HMM`Q|S;szd zE!yFC&a+WVgh(biAf}*RnU|I4P(kyxO1*_ms?1%ehR}g#axQn)b`KD8&YG9*uhd)1 zJV+hu+HaI2ZVp@_bFS0;JgXpn zQo7|v1Vj_TfNq)EGJG9I!^FAVM)a?JP5x)OtpI%Kyn`~lp*4@?zSAZf=j85UA=kA_eYz=J+$m5_yDJmlu2J!{ z-{d)^1jhJzQQ7Rg`Mw;LQ|WxKS<_>dQ0vi{Uti!sQ+tg{5OcL z%U=Q>@Bf|-F$MuCTKv-)xh3f{gU;e13hs?YGvU-f^O?D9j>y7>SXxC|)h5mx4(rD! zwMyv-@vJ=Ol+Y@_!>Rd2AHkrgXW5lrKOC9~0_joL`h2`)zHq+#K(2Xre^pvKUQweg zySGyFoFkc*{zc=ThN3*M?$4q#?q;gUJk{WBqa6e zpqSa}^l+tENIXQ3=z$K^(i;MbXiu%p%~avrk~9(&iYl-LC{$ZXwJr#k8>QZ>;k)?Z zF%6rsh9N??_#$6UFPjndm)oHeCWB5``#)|H^y0+Qw~q#bg0gwJ;n?uYU5;apAsGJXg{@qnLDfT4fxUu{Yjo8Y2dB*!zw4@H9%gDg7* zd(n7Os_Uo>?F4nd)W(W|{=4|_@F5yZy1AM}t7F^W*kaHSj0GB=tbg>&gRQgmBI!1e zxcMrjJC^}~87{-}ME&#Ml``xUwe^PMcJKJj++OXSPQAs(S)Ed#lN#wgg%eR$aIPut zd2)>h1)nT70f=y#+`^<#%4u`QiIc^w{vZEQ44*SBh=>T)>Yi3>R0)M{BorHq0QVk& zWqjJpuxF&W|jcj3zk25TISig$@#q-mcE3{Ny}(BiDs1(zu}6fp<9M6Gdr1ZP`7f!Qwh%{?WF&_;Uh@ipncEv7OuH`v@r=PaY zueGeG0PFJ)Trh<0X1-l>%qJxQ5Y`cD$q`Ds!Hpi4erZKbQ<(>9)?<|;9rE&ReaqoK z_toq**n#@>ET;u2${X=`=|Vn~PpU;5yLQGc-soK!RY#m!Q$`G>_my7_*yC}sI{k-zSLx?_YT)4p9|ibKVdLhNbYU= zXHS7TK3*0pgI6x7p`}*EjXFAvR(B(wNZZTz?b9YiFWJqbdv{WT6I8Op)RvSnEe~Yp4?nVcNih!rnW|( zE(f}1Gzcm++z~Nm-=A+kU3s}$t0M_S`5V4f%j*X-+xr{y1x$wa!^h(O&*YyC3$VQ`Y@ebH}Pxz$am2Td;xYSJ8C`p#LitcO^{Ll@hgKR z&w1g|-*ZxfXYKD44yd9U6|jnbOl*9IH2@ow8vy}1N<<;Ml+<8_i-lJ^VsHx9h3tg%zZXoolY`(A-i_4-gYmUoy1Lz%qM;Q9iejo;qkk#F@=>?s}U!$ zR`5F(9@HyC>D?nAr}3*90l9*lm{PNXnR4?4?%3%6KK@U<77fRfrVit+F*m_jt0rUV zrKmIO32fl8`TO-R|98L77oz(dKDxR?>QTyro9Bu>*ZUt>AW=}cT+k&y7kvDw<7yjFi~6^&}O6ZPiYj*Z54KjA45rODLwd`PtW=nYiJS%`&maT z&Z1+AuK7N3ry&Krqd>VH&cCR_bS%9*<xSQ{#9Fc(3fP z>u$b>xYL_)ZHCf?o5OMOd z*4KmQS+lK*-fwSiW05GQI6kcWS{o_o{AEdk-eZL|T+@3KwsgKgNema3O9EZ|TFn%4 z%{|qUT^Dxdyu>O0u(eQ>-T)``lkCnpZgX)|>o_}$*L*}0kCf8VKLlL$Qw@RHFi;h zVTe8SczP{o;+UFW(|%&)k>2Q!xzu8Tq|Y- zo?+3m#F2UXA$jYI{z0x8?2p%?79(k*HU9H)XTPkg!9)q3ip;_oY8{vS@AdtRul>u9 z^!FO(&L0}=6m_A)7KA5DhtNtMQIr59Wkw6brB7rHsJ$h_I^4v4{LW{XVDkoEywR-A zUDRq)%fm9dg2{EGr(mH~le5It6t`-&v{a;)&ll0{f1+TGOmKLQx^v@WKrt*BWw3SZ zazWchpZWJ3JZzLBkJY8P5>_Tw>iQ9WQO;S`*FpS(ixsYkPcKKZ#gQG2Ip%kIw?LP$6-B?rfn(sj;d$$(nXRm?o3^hclaEuHkMsFk98TSmA$<)pH#QsBnbN&C5KN^+ig8ntHcQ>+j>Pl2gc4gSF?skoVp0F>JwZ zITIUY4{ZzUa0>Ap=WLs)%j1h3JH(eTKy0YIXE#qz&F5;#`|RNiQl-IrL0DnS_A(+k z=xK0&7TozV;`zH>5!BNPFO3MsS0v=ziNJ?Y!(dmf04*)!{)+ec@G;%#Nwjn?6Q{p% z@`zA`Wl8w=UFxa8zZEzahZz#DUz05$kT}zmvOjJO`)7LEuHH8&hN4 zehFvi^p4gy^kA#*R_wo-oXx(vPVN)6Zs(!j4De>hu7v7@_^*uY)B^O+?_$m#dk0d+{jF>0hWAaU_PZf|>&+*ezHs=}+mqls5c zgN-LGP$j(a32u@zYh2zfdy#lIoKMsv^mt;MJC?N`7rPOm-GNON!ccSaAG+dvnLFIP z=z+^)X`6`;r(9qA&iDnHyv#gxEpVbF)~GirCqsYyK)u+{0JM~+N>S~uhb@Fe2>`VR z?6@VejG+KOVh)5}z`7U#5v4`HOMPIYbLpD%JMJPRldbzk?n9*Lk89q2!w4!*RpznrTlO_DDBfjFx78F}C(o^JJi!3lvVDRGAr5 z#}k^GB=^KPaf^A$_@*vgcQ2kqMV*U5HDILS40BUuAkJbjkk}3qVSv(R4)Te0b#-Ol z=R4L8*;BjqYf(apFD;=UBhMS5S%DT3SgrmCQag%D=JNYVE>P)w8Rm@w-!a_eWG8Ll-v(Z=xwm()Pv!9_jRFNRGk&Lc zY)oZJ^Xn{R3xZuWd*cyFG4ZZwH&@F{wnF(iqv9TmjdbK=E9Zv*5xgvm`TY83_EU%GWL`H z6WKrV5Oy(=uHREL2}=HHkSoS*s#68{e$P1QO16!@?)@n3VYJ|PZ_ei|0`8%q-~l6) zR`^8d!Gh@9;)@E8_ptHhWV2dlz;EzwPH$@y58nrbpWj_w8eS>D`I_=r^eO-(wRHW` zfdwCgf>RrUSY}kb`m^jTSy1xV!O!;fmZT*K_z#!y(ePU#54l{XXYV(-Ai%nO?0!6MM$R=n-9McCMpG*zQ18RNaWTgI- zyV3VJmd@t`j4hNWE+gYV0LL$l!lTnl|AjeV9tZFMn|}fz0)X$O>r*BKhTIQt3Zll+urKZiXzIW_k9!rr#QVieGg;?Tv(AuN!sAx9oa<_QPnyb%ye z1UpzKi0(-l8`FSP5sJ~tdM|)^ae_w#sA^l|1uq%~OUbL!~`>5vl~1VHt3TvOR}a>~`` zihegwUY~vWL9^!&t)wZpLfu8jj`#LbIp-(c6U$A<2De+h>e)`PbHVgqf#|^9)$vcj z8|lF2_y&VXfGGNOol~|KtPiB;RAvj>iq&1byfB>-A3M+@8d8AroW16a z(BE1O!y5hRw^|P+yb%pvW4rR8)$9+hBR@2K#){`c`GrDfgh0#{>Ae--hGZ`V zrK{~zXfzl6icr+?$9yR^*8}V*5QUw&lIQoP@uc#wZ3oCDdi{`GlK?#9c5pBCZIf3(W*dCqI42=(Y6_rNsX53 zXLP6Yh1l#ce@D^6iGc_!vUr`sR}fNmszCVIuO{K_PF0VG#h?{rUK&wnUJekht@lpV zeLKO$3jV4@vDDt9%dh}5115;x0|ojIZ2|2nA;01)BNcnfwfeK_QzLB!it0}rBXX== z>6fWY^^Sit{#|@G!8+#I`6&94-b6{!&F-sGy9h}Kyee#0)9W-5^Vc?HvT`@6E}LSI zOvwS8t6M|U%`bEXPT*#1=8=0~1PRQlo9xZ9x)%0{5D3C5{P`!oGkFv|wo5Yn&Mjld zIqBu`JGn234Y6}x9?PGUFDi~@upp+5XfGc&hUz}7&y};8SspH5g(X0~d`*^885z95 zm4T7cT-(#lq_s#m=T8w$c^mtT1ranx3cQ*Sj14Zc*%-e5=Jj-5r@go^#oXi(ymv)R zI#pI6lIDV$P;2mlqV~XXN5rABNmiuGx}b&73M$Q ztHIeqFGyXOv}6m)e~KI(Hg@;(y+F5gxa}SbxX2|(rWT<^+(hCRM*|OvQx5O#Y=LqM zC2t}Em4U}40QDUuEA-J9Aat_5gTMChS?*|oDlO*^JDQW=##y)}x6&9YPMmpahv(AV zOlys2E{HPh|G?)ps}Q6z!dHba&v4e$qhWeDqJu+&LoRTG8XU|x@&S44uX#?96pL&E z$Yu2&oIR799?yY~yxP^ysZe&#M;uwFQ)J)#arEw%XVEUAa$h5QL~V>dGco1(37kio zp%v~YcaN*vE=O;5XEJgkn+w&sW5=nCEegtM7PLXEmney$ z#!NQj?5X|GgvN{!8KYeC5kGnKCxix7{@<6)mTDg+7T`;Xk+0J?;oq7J@K`LA+5f+IrhXhX>=|JZdkmn^}iby(zxPwMn=f zD87NwX-k9T-NH7m)JA`ZP7V1E8w`AaTy~XRL3v45Hb#V3;fyQep-{qLv(4qVbi=Q; z;mL51i=T$EPM;%(GS_ymN|6wOuM3>YE`GloMOC#{=`6=gmppoYq1qY`8QAzbxZG6; zHMbn(*eVo9%jLu@V9jZQzFW{YG`1`r+rG) zJSa+@59g#JIz0!X3QRLLq&Axm$fvcYKiMQrRvGE^Qj^HX{3#a~@At?-pbdnCV)sf+ zY>e$1;}mNvEsb^6YPpHoOP=gI&)n{xI4Cp6RkdP##?Sd+dnk+BA; zW8nSPwbr<@@!>lDM&nKk5@Gj}Fj9`N*#a0tLVf}kvNv3*0 z3mT4>43_v57)U0lPbsL66csgS$zWehu>eUi{?cR4LIpKUCU2 zO7}PqXZ~TiychgugVQ0Nq3QSKD5A_RlTGHeu`tHt#c;5%XDmIMt<9hfb(K-2KzuAK z4G!VUNLD4Kg0Pc#$=i~Io#kbF1t>hioWB;OrJe|H#7FR~VQ%rsgzVeb%$L4ZDJYvR zBm7KWKE8YZ;D4?r-z5#^5X4GlAe_iKn-rE1*Oy2v)Tf z>zLUofu_2W3W~H|&Q zLCqS|TJAp*(+~oSw!B&iCqiJl)fIzijQJJLxbTK=Q|&V}%E;SL5s9WwrZ7G9PYvn< z3xiSWmmiu1c26wAe@rDfAC24-5T=V~V`l13@#Ie|A|!<5$lTi~HXdxiL_~ZJC|zse zZF-Lya~MKrO-#d$C#}}5I>L6v*Q^iot@jfoi9Br={N>!x8$!HK+Q%2K>h)XP1c8<9 zBkUj2@?=fz?DGLasYfW%(IT=+Lr`@Vz6Lk_$V!(l&7H8H7C65TC>t~m`^{;es zg}NVTa(l4u>KfHnynehi5b#@nc^%Wkcj9M4&+XO{s=>|5BZ;;zP^6}p(*g)3WVb5@7M@3v%=B%!d3koV1rmP>GhrWy^@tWx7KL>QNN5 zFCUrE!xs7lv317dpttvnQJ4>kVM2sOe^5l@IGDOw#kLMTNO?O6iYkfXV3SP-e6M+d z5K_IbJE^VtS3NV^XXxqwZtx5b6;YSFxXKmC-n-#;?j$n&0QLzbr8fnP5|37uTl%g~ z3z0rdU3hhL1u5= z{UurB-NExF2RBBHjAK|w?(a@V7yP!K?r0R6-h0-x8tKB96e%baU|6?>rs)s=g)_p|w1*|S*a z$fduJw3?|UH&*@WJp~<{0Dpb^_pHy&2t!-*WRLF0dHyHx+#0?t&Au?EYIDvle)m0Q zRaL%BmHaP}eriK<@pMAp5X&3g<=EO1#FMI?)l3A{!^^(AvhJq%)B@L0*%;fhc4ZjZ zg*$g~Kv-c-OuC`m&kR6&l;w>YzA3Flwy5?@IB;>v$lqcH zcYKPXSbEO6EQpZk*nokEzLDin)15b(s7O(O>@-ml4o~2<`M{##^<-~$puzsB^AJcG zL?qk}SJ^P}xIO2|kOiOkPUS5K-b^lz5rMnDh-HiDF%JagGX~xUJ6L~{+buh8 z56++<&#_MdqpN;DcoZXVE!WqBC77anZ#`CQn_g^t882BIp75qv%g5@hrWBGD`X>u- zylZjv{XVF37@8~fa(??X`S) zv%2=H;MC~>WbBGyFYZ$BiAi~@D4*LUDW&^T(DWT0Q_6_9eLw_4+0y^}oj45kZP|?$ zVtdG02(Z+1HB^(=BH+zbppSFq5y0EIPZ6mBrQZOb0j&tHa>YGejoJ1)b}sNSdF04> zPYscj3`IQi*tE)UVDpF2+s%nuo~s6fI5jztiMZQ!w#l+F+6 zK;6u{+06rxUZ%Wh-@V^-Nj&@K?i^ly_F=yZtg7X0y^pebdYa@AE>W&?_W@9!p&SF# z+apZM=oDQa1UBL6A53Og8p#>Ft8j3kj|WjTwHbXNXA4zv!fdvPC#SqdKZ$8)!xQBD zckBl8D=*#7l}_Z{&Z3Si2CGEt1SSu4!Jog&Ko8diKG1B{`X|rM6G4KCZu>dnYv+`H z8&7)LnC#Aqoh9{11R`fnD+ARSbc`dQSzZc<+uY1!LoXb%np5>LwH5T6V>-A+5K62_ zHDAejDzOEDsK3XpJsum}WH zJ2$xk%rc-zrhZc$vxlFUsfJ0s6T`>d`JwI3`fyuv>~Y!H*0p(ZJ3Cqu^aAW+QstV% zz`W7qp~aEP^9x-d0W|QMVKB3ybX_#@6kcV%ujL&uy12^ipje=PMghoIJeb*{o33g7 z8(ghMz(z)FT~|}lt|v2B@NU5M6-U;TUPGK(bVtF`>#QLE$J0W|*85@^omE(2E5CYi z6No>9=dwCpzz2?vqm!M$)(0lUYW+)ZE4bkZkm-o2C4gWDcu9bCRbA%~#yQmBNL!=! z$&b_}%Fm2fc~)%`Uz9j~ST!=B&q;D+O^NT@t>P{RV45QW>cktc+a6PNS2Jw@oIGBI6s1&x;`ypuu@&K_aA)Sgbb| zFS(W|sX;3X7DPd;B1ofM5 zLbT%UYjqIb#$O&pK(#ZwGL05SSHQxn2sQLQmeNgEvR-FVq5~dk)^UL%^L}GmCR3DW zI?xo!+LNKnw#?u%f4tfL#Zh%l+7BInFeKH<*YYPnBm+wa)^;NWt6@oB#k~{tHm{K0!1y+FjbcEOGe1bV|ON zfLcRF2Rdj9P4TXEwnEzDE%E3N2nD~|vmwi8PCd6mGQ%9e3nxUiw1DxLajr=9d1I`N zQYk?9^rAt6YFmh;d&Ch-Th$HxZn-&tOV)w<@9tC?knka3$ixbeGdBQK1c7LcUy*Uw zY@w{6#R|sCDS(%SEcAK1(Cl}^$a!OC`ff!(!Ss&8LN2Cegh;V_1-caUs?)IR=|N+D zZOmKm=`aukfXuR~rKXx3k!{MVQ=4v&Sm+HnDMOloH5%GGJiG~zU}om#-{a!C016S{ zW!An+lWux46s#mRL@Ndt4(8ZePZ!Tm>p(S#8sp9t>vijy3Y&ZtA243el$l;xKW8fq zLj1@k?p#k=*nN4MIa=&%*n*$ObS5*iDKf4UIc<0Gj)KJ>7XjX|bkJT!&@}<{Ya5`x zy>xADUm%)9>wmu2;7EbBX~`m_e`lvdlatF98fiOVtahk58Q0#>NDUkrI+9be7g2v+ zRA$D4Pi#+$kdSCfy>@*ohAeD*n> zZ%n+4?OvC(I?yax2_k5AnshNGamfefKp;9%zrnx#dwOXy{ZLT8d~Qc2VN}#ii<}9% z^CDCStKg^v8u7L5TSJ}OSw<@!wv?&GMiIGS#U+Up@?zfTI@4ifJVM@Q%E|)QDzIea zl$J_1?TR2kGzS2jFHunp04@s9ngD{}2|#CdBwxoLCF027KKPKd(fsKw;nD!@@m~qw%Y#Aq2nEYT=*71f6}ke< za&2b-4R&&ON3;$Q9C5@yHG{Y1$7uTV$N0atH)C+nECOIWxM zG+@%$V+}rWg_SQ4Qx{2bV=bJp2C(=@gVNGkQvf}W1rx;(ErhvR4k3?&BKIW(a@C;O zdj$>$6FOMIxCK*yb~`5wS9eKJl6l8O@Jv&-+<)HKtNC{~*9Km)ia^R=_-v?re-O(eg7?di(c4FuMJ)w#OscgV!BRU{}cl8}SGz4z)Z6v9bj*d>;?Jb~e1MFY9-5f8J zQuq&OMk4sf0LlBy<%Q}#@mX9CRxFn1H%82Z~;fgjElSLblxfF=)rIizGy;m!xLfBQgNlC3rdo4|aX)46kM zMFlsY4t4^1;NV=W96jyZ2qVBG(`stQ`-}kggI05;QTu1>%M`JXqJR-tkdTHF;6Y;p)R!nLuO3K|?4-IhV5=c3sb)i|2rV7&!NTe+W8!U!hB`~wfcXrXsxiiYE;#*X%tK^M=p&$sh8z#Uqjg|io#|af(hkc%snD|3F zntmLhHvyCy6C0aUjw*uA+OHIWK!#RY#I?4=;qWJfgqnHNInMCPxPINcfnH<9hByx9 zurcCSJN9r>u{LF8QVzp=!!6fJzqR@ghxN7xhK(4-2AsJzoG$iz(_2^!{p)4k+a#?q zuoJdSx|+`23L$M+GG_{XC@A+3#BP8ioZE?w1L(v`Fm?|M3+oCH*pfhZ9)W&uNL2*G zGeDP#9R4nuc8uFASC&a-kw-5Z=)Y2BWc^sokYC{oeK*~c#l9x^MH%Q4j~5OCXq0D# zo$@!oe_!q+(le-KNX2&HV1pnsL)vXHoGQJI($R*;4S^5$=R!tq!16{b8H@+gwe= zda(DYJL|Yu_-TTjEf0>%<4#4>*5~t)qrl?^MBXT%Qvnn5oDjJzZ0ApI?+SviiC}Gl zwkY5@S>|9e^DTO2YxDrv=NW)sE`5Ah5RMxCf2dAt02xk*uS7TZs}$6>gnzonoTs-M z;_&~43^RUeAuzEINYVVPYJQmihhvo6ZIB)2{59;v#r!;WvF-z@G;^AKmw6vM{MXMs z2L}3cp}xi#bBAyMhT`=j@&^!4q&0;#d1ivIq!Z$)|6k_P=^h+BTKuO^JMOMek=E8> zV4p((P=O@?^aWqqOqG~}8Bgbq!#`&^>D>s~LaP&tiyR`{pk!mVa2KKFvAIa8lDVkQ zx>Mq`Or0irgbs&Y=P({$R}ZQteVz+wp$_oCB$3CDZJ&e*{SyXhxUq=&|h!4H#n^x`+Bo}z^2(@sk=9IEc=Me z5VV|B`nVi8$%rDqf)fdUW6c>(Hv1j4zxLJ(_}GV(qUg9!xc)0WMXXZq`81OSTr8>= z{s0VfUe^+WPrBIT#rs9BVlu~uRdO)g2%Bc0$4cE4NslwBX;hIX z_mGno*$BLf}TFxfR;>1N3>P%Y-h{>}v&F=;P0LmLzD(}GM zc*-nce?=jmP_yba?QV|J3V9MaIhcUo1{-9y#)~wvd+NV6cSvf;#Z@4MCt;LtA|VHw ze$}A7b!eiA1>);@@FU~<7k7el*OcpwfrdVbcNBG3(+BejPVALm8pU1_)>F<;Mo-yq z&;Qg}R$$F`J=!+fl-WDH3KQ5mm-6(!c+Rw?`QHjcDU)^1S7BoD!+VwU7`@;h3C^>| zz{13DCU9GGKibp+95}uz#I-?UE_K`}KynxKnEVO#?rmKbS^u!SFzriDGb4z7Lbl#s zA>^H@$&+@N;~kieKf?(5a5z?>^;TB-A@09$2lRKkg$Q`yZbYkT5ARnPPp(c#U+orFn@tJgmrr7nbhV=#~!TC34iu_J$|{st2t9>gSBv;vjGa;)-|y zi5D)U@B}Wfr$>`>KA#CLFhBZR{+UGsm+@y}H#u(wCNl*3E4&(N$7L$uj~~17S^81X zW814!{r1NgFzvGxr_{yyatf09n(aySSJmV-?y)&1Znczfo?ba4T>cLN8N-lrmR@pf>{cU^ z_(HhkoS1k<;&qJypn3=y8?owOxQJ#9wj>Yz2lZ!@nl-tUxn2Xtv? zxeaPu5>Bp*o*&$M@`2VftspA*?M?2&Y`jjaoVyh-umkZf+U-$94Fa}{^UgRKq$=#+ zaH~#jDj~5 z#8urtraoQhhH#g@=@+5ee_lEAzG7n^b3uhU#l4qB&94(cJ;-&JXWJQ9H?x30Y-Kd= z+qW=8;Y&w`X!sBz?qV7qtSB4LXA(^FH~1qz73gYv1cO!ly1!S=;alAOq~3@jrgyCu9EUQX1d{ zO6E&p3`HDqU>qR;nY&yRmB+1v2}~vcUta^2s-ShLJ)vjwm&+jy?s$(eoGdZDah^nG z+MgA-&?g`u1R4bpCT3Za!xkZM!>&A_o52JI4{{I-f#4 z+?`M~6~ZiFYqf@3JxjhC^*{tJBA3et_N|0gvM}3WP(2_B>fo3Lghvqp0kElbn|A>% z!V{3?ZAreGSxzX*6x0nSuaCT<$$1wgpsvkFL(jIrZ!j|KL9C>dML?8czVxpbBpwW| z>2jaF`w{Y4S|x3@xcKpdqS5|EB@@BXWRSfpw0cQrNaE4r%q`TVc2LT4Wa8SBjYmNE ziCA<+g{z+4kFW^e0mMDs%oHd+OTa4%IMiK$svat*u_%SW!9yto&H7d7gc|ic%B)g& z7Qm$}yzlLMkHM;-MR+$kmNB)+y%q?89cD^jR`Uzi{3zp02QEO6KhgY%Otak9)iLFs z{N+SikA>sGlOVvdB+^*DN7Fs5a~;5$%63LrCNtg-1Hxy)Soulci42Pjvd(0M7YT{3 zjO;a`3f|lbk2;%UQ4U?TEBJ!LsRELh2Merr9 zCC#0M`iS1)%}av=0A6r0N5kxFfw)HnfsKty`e=b!&*DTjUSK@5b->J;5UY1;avJpJ4vg6Z#Er$BOpZ!DnVf@m%-W z3jl+%O}5?HzXnwHX$K2uU=C8gJH&LA=sB9~Ja#>!1Bea7r`Ai}(@z^?*OXf%fX2$s z{{0Qe{CMz#?-mBW8yI+WJR0DP$OZYVup4&`@ z5K5xDM6ku*PpdaIdCv#{#PnY8hT-L5-5M0k*I@<_U{Lr1VD>@%CZ%pDkU2qVBA>Hs z&9hPVq{bNpqKX>eBjeUvyFyic4=4e7mX84jAXs%<#$tmoiaaT}Ju@(ni17zV52^3m zJf>t~ieTgzcK$JKDKvCE%4>@G3wR<%TjG2IQ|EL*1h5ONVH5<9C|QfkX{?S*z?~Zc z(6;&Sc8$Tci}i5{s*z@?cAd?h50xE_=syhr=>w5bMb~j)m;oEKP^FbKKNztGu&fY3 zMW&%{t0Pb|Fre%VnW;IKtl$_UZs>Po-7QWo_AN)N-~v4T>0(<>0y6vt`9uq5486ZO zzRV7X{;u0i$iWhlIyW4t0>^^C?>{tEd}@e2zj=PKM>3q=Tnp4vFm8r^B9lv?0Mxu8`thqko9^G#u z3#JmuvIho==?ppDvpl|NtHAkKWnC<{)EajCehhX4x2>WYc*J{5h685nKuH9kn^*H!wZ!Ny^d5N&ajQ-k? zez^zIWVFbuyU??@O{k#kqH;gFLF@bpcj4d?x&G0WU-7#s}!~sZkIe(u7W)Y;ZQ&l%K zk;~n5v73Voc>cuX;43Ij)2FkD!79NsOi0L3ZKiGJIz7*R&q@EbuII%t9->7D*clzV zjk6+F-hNZNfYtUnFPqW9;GBU}V`7c+aLW+`Ku{7vO6v-MkoCyC?5calNvj5y1gHY$ zW)~)(TQFw`*9XAa_?O^CN2Ci5zRTE6bVQGv8qZqvqs^^oh<1$-= zrf96u)i0H0$}MUtvd&iRNG-Jz<=_?yP>!T>y@eNWRx2V`v7J30Na`gELz90;Rp!LT zx1{TY>%*#uR)HjM5r2F8|7reQ=$l^ljEPkoTnQ2|C5n9zZMScqIIyu6(X07L!U`=i zGW#tP`}LQQLd%!i&oKgw$L?nvD+iDH)UP7nYEFvL(SL-BheA&aDK1%LRr^h2?BT#N z>j)<7xLhZLe@pxbgTej)r5=nStC3<-r8VY^6e#+otF3(sv>|?7lD@`x)=9w^>`HWE z51g65mmEAJqw)m)31LxBEqqcF*zN5X(~BM@&B<|)c*JI3vOkJtINql!c#~!U*B8OO zsBn1d&wWb=PHD8|MfOW>{;HD~hw=-fE719ggVa6|js59PK;($uH$-pC7NNAekScX+ zkT~62|MpGj_~O74*fM3U6>MSTA)%r8Po8{gH_8OW<)F~el#gJ#!;AR8F*+e9VRRa9 ztcH4`hbFrwZlKx26&mSO!>!&d_ton8*90wxSEQ}U6i2Hs;GefBA7yP$kLLCD&yB~7 zk5fVZ5NegP6;MDfFBG#Z>pYs%^K$#n%m;3kUVvcr8TL*Oiau4@jyrfc4z`^w)O*K-drlJOU=qk|mc3cOgC^Z@(v-!yg}syN<^I z%;PK{wJeO30&FTk&CKsw(kYGyqaVR!L@<$JumETJ0 zCXbKLjY(<5fP8$gv34&@>z?(gsz;C1(giNA&Xvx`F^=v6|Nc!aA1sy+9p~oW<2)LA z_9iCvQ1LcXh2U#6Kv+owo`jzMey#t>g_-GJZ;fdUaK#_rszLnXUz!7-VQ7}!wK=~H ziWVAY51oUc3FetRqYLx$gF%TAN>}nt^)R`@fqjt=U-VpP88%LNPQn zG%%kn70k9f1|#d{Ks6Ahpx>_I<|knTJb5uXz-AQ>2(szpp;5Y~}SD-2bumi-f6`dwJjk1HuID%HCJOE**8(_`AD6;-Jr+Ng`f{ zB?g}LACAsnP8tvVxvNy_DGeW3RRC;8j7;T1FoyZm^=v%~>H#TRZNuUY2fXwpA&Bt& zy>V08o>1;zLUz5Y_`iP%$ay}YqVYVG#{sD&Y9U4vf`Nen22Si#gqYE8bWF(MVo8D8 zhb0FXr+0OrWHt%h>clSj9O8w8G(tVoH}FHT6K6iwys37rOK~S&;Cg$)p{-XudNtaT z=ACVC|)>W1+aIHervpkx- z`)XHU>nO1$LES7`8Ej^Vc#l zUXq}(Ls3^Gd^2z z2DdgT8d^8|Qb52?g5yh8nLvjFG}N<1Q=#MO-F<2MVDbGk zWsuZHm`ID$9+27qB`qqsumAe`#-Qu^)aK8?9X<^XlkNKhIH2yquwafV{D9DSU?b}z z;B_p~N_2HUe<(b<8|M9`?708WRbWR4e!jYWP)Oe|JQ$t6K{l}qQ}qjU*2Xx{9enc) zEnIP6VJy;hTbL>18!W*CqyTV0GDc5-PXFIqbP)Y{p%57GzV3pjaOfE^Kl;a38$1aF zcGJ*lfT0Z}$!AD2l$J96AVDD!#m-_5rHjDa1#WCH86SWD^4tjrcB}A@M0(@rW2>hj^~ve-^v@XrTroV?nAz?bt4=&vT}-++mp7hI=*X37&j zcdY%+@C{D9;LvJ(h{lM~K5kWeS3fet`0C#D1Wpw6O z;!a>ei*c(_{cl}6Gs_2ggGI#u1e}I5h&DlT0J<{ta(~Wp!v8|g>vaX2+Py?v#m>*X z)jiYZmb%&XGGCzD*b6j)lG(ZIIApV?ld6=M!>|<(*~HpaR63F>O_1GU=^ry4yG1&tQpcK|K}givG7SUvZ7;}~L> zEtPa~LBX1i&TRQ}AtG~<{>euot}VC?OWK7lH&-}x&+m``HgxU%d?lb|b#&3s`})~` zkM|K4z}Up(IT)mRA=qpt?d@{Bv!i?0hi$BtK^`A1U<*24 z;J(!Q@Mnk7`4Q5R7>-w1w{|bzix9!8TU-K+E&Tf#QR9?TEpw;b14;Mp1O}!Pj zYZ-KQu!Cl1HlJv2bL}@FOicVoXy#0xnV@gTzle$ZNvXV1S21{kim{5U{>F?@yCPhC zMnx_w@L<70xK&KzZ%7H4z+5w*vAZL6v+jRzE37PeGAM8&u?_C% zI;-m_VZ!)_VafYh!fM(w-}ydsB_|Vwn@5-hcnZwD-0x`3vJ>sGtVKBtQf29*+q#{=Sz=U zGpB$T3^8DDV>rWs#k<*Zm~vw%P5$+3BrxvI-Y%K83_sqCgzS<;lR&fPH;R?Rx-(e* z=~?+qXv)I}=8qf7aQ}IC9(f*pq^YY^oYX7~w3@r{`*-ibtyStTy}VxC;i{ z9l2*;@+|qnH(WdpgR-;vNEJzwlBADMehEY`9+UMjk33t>zR0S#JSEl5qXAoD($958 zNKmMVjin7L@@v0r&CWh6E2}DdeZkubF!KrwEu6?@Miw$*`KGMumBG+m&^2u^X;ohul< zJP1vy*(ERqZcN`c#`9D9%$(0864)7ZG zAD$Se=9PrT$!AS<-sG*!K5;zx+~beDnY=xIeBWMp=SxRfKY(%B_8=K^g05BKtMty8 z+uM(3Xh_k~rLyErMD%6aA2Tdxm*JQUs^}Os+LXC8{n)|Y*qDH6hYxI8t1aTNS3tb` zJ(hj5kB)}izAs(u4W*@}74SG92V+g?XlVl@B5){uk6wcT?DDPtz(Gs!e>i)qs4BlN zTo@6gL%Kuh2I&r^ySqz3VACz2fOL0DOLv2Sba!`yq%?wO?ce{5@7#YEjKKwi4ez_w zTys71i2%|`ttmZ1+2F)KL!@dedCgg&Jtq!bhwG@Rga3413Xj^Dryi6Njy#P{9Gxao zmN(aK=Y9Q3U_(no^$bgZrBa5r$j|S!vAG6c%y+h#`%B`0T4?ih6Kdx(K!g?xo|t~? z%}W@C?(EuHF4%ya4%N~u34g#RjP-CzHIeot&}Nk&P#&uQ!{z4$Hq%)s27>|v$;x9b>iC7mKYxxmPKD>Z zcHR6U#h=>t1&9=HPK3ouu6p~6L|9l9O6!8F^<=#so{|4aYV>NaD}PO3re!@tMnV#K zIZ<~g=hh%efjMJkqe0SfIm8I)axWaWej!1_PTOzSh5-neD(vg^-xBW28o&)nWIl)i z+o`-J*Olx2CE=Y3$w7VaoX3+t+4WCecg2K}cvcI8$sDM|u3&NYr6x86{-a9aeZR?*Bt@Z zK|*sCD4wln25xrQ;9RjYKP(OP<&Co@FJc=D!(&=n(sl6S>v38NazoARA6xd^&Sk$_p}_lm8xAzW_| z4;XD|WS&w~;e}rRp=z77XIq#x&>@^i&*r9*mM=3VC^|f@z^rAXxcL6x5^@l>q2a3+ zR;6*=$?sU>GqNLObKi7}bkjIrx@l~pNY>rQ`g=osGtC#$=xLFZbgsf#KI%GR`cq4xDHJsPX+SB<3 z`>8-g&7e;o)9%=FrV9O$*!S4XLEr|MknqVrqfo)Hu8|KEkpSh=Elkm(=?n0T{(v~$ zbLbcNK5y2hJZnFM+|L-iMUdkf0&+p8z!4FQN+=G%-qh{9@81c8yf^_b&Ky)}5d6yF zac&IqPBmBMu(ZWwl#D-oS2UE-*3o*SQlRLCj^b=Q{}|jKTNyZ1FPX&WDir_kadtw+ z{2?dl>f@>2+v9|g>U;&uz1N&+BR1o-vJ2WFlePpnys-GmY4n9Gn27cwV6SKKyM}=P zW;PI%HCJgg4x+77*-T)Wb?Y`jTA1c&J@DV4QAmTPmWqKDuhU>h2m(mU^qXr&F2MMT zbX@q6DO125nk(sZzngq;?bYD0ZXYg(t^I8+;r;jbG-?R~6*W~g_k#7$q(x58_asj7 zU5q3x5tXsj9Dle3|D32G*L%IHyV+lS9k40Cis?pt3Z|bO?L{<<^ zv@*xAfvr+3J{FQPQ`Z?gNMb#;y#6(GyfsQF$#DMPdSGk%eYX%^4t}wgynG!uJ5cD3Le0abn=7vsN#lX7q$7L4F(i~+R2H@Fz!Sgm6v?LB2T%PhHOn;TJP-s`mT~0Gi+NZsAzHb zaD(u}Xo`l0E0{z9-CmYQ*E_u3IT3O(^#&#|kgRX8q&lAN7N zIW-EngIoZN)9LpDd-%SLjEq>(^lMB^V>dyN^9+U-;d>q@_46RIlp8yx@p8@kY;$wd zK7!%77v(4*pjqV;g%2h%8G}>Ru`TqaV#W^rL1p_BbhEbJ6Wr_XpjoT$E>1V zyQUX!U}se2sXwXylZ2-ir?#eyyuY`*S&CS>Tb3GerOZv|d< zXms>GC`XncL>naY{@mj8_4Ng$(Som*s;XGP_XIbq)p1iCw9?~A%z6h4)mx_342j6@ z?(VhZV%HOTgqlfIXkP7wSAsmXS;rasY)3*9xMCh6)^3fXMM`4~8_it(6LROq?-9+s z7DO`Wk_EO-Rxygbtoe-6m0X-SVT8VTEe+MZ0-i)TsXF~J!?RyQX7%yfL@AnlOD^6l zWMySperlnTfo5kHn)Qt#_k>_b71c6P6{s^nqcoQr9jt(V3{2rp9N?l>to&K~{LdHa zAoToj%-Z6L-7a+^2GMRdRnbxvJh}$gjlHLUaG?-a>v5CIkG#+An-@QuxgBDQW)D42 zAIFjh>TMlQXYcGNSCBf-=6z#_g^dmEr$Cr5H+2bc!l7iXUOxr}xv04K8z{#Mc3B`18=9qF zI)|rDDktQ}k%}7Bjg-mKIN}@9#~Awu)}8DFj}-u6#wg=n*r>`Q;5LS zOr^bVt_p)MNH>tyoP(&U<{={a&1^YS%b4zK^dt|w$bD%u^vf$6Ea{FmIRA+WB#=9( zrHcuAnj-+8B|1$T!hR#Ju&{e< zqHBgaWAEl+-89u6&DPEa)eW(xsMmwAlap!8aHciMLw@@xv@Q{}s$&57v6E25Pf$!u z3`$IW@$%IlcvN9Z2fZxmheb5xf2m&%>lBAU0I zdKMLTQaQFC62A-#UWhuL_we$2 zE&bPDZZkuNjDoUQW%3f(DwQ+8gLCUk!{Y4APps)4N;)+t zgIw`1+$3#6#*4aE8!SGoEfVw$+Uj`l3DmgA<0qiIRuPXVfcsdk`h$wP3%FbKczEAd z9|)RB-&gdx&*pnxr)6X~=NF#Bnt$c?>R#IeZ{(F?xz7|Txo`$xWn6%lQsZ%9T4B^V zR+R0hODukM2<&{gX+KG;Y=BxuU zibG7w9V3iMWOfbo-m~GBqxowyOUQd*Y^)G)cA#upYPlrfucP|E|Jtz%d@|!voT~m% zU)0w5L~_h)go=O(=djVjQRbP;5qGIU#;M7oW(-#Jx=(>}3ZP0Nq>jY?{i}U>$)d%- zhNFs(OSyabt@8#gPW@|$HykMX{~;btXvMe?kA713DxZ5NEG#UKhr=SBRyXFZt}bXR zVZSQt=H~V(g|hf%N=;(9v^4!Yy~VWxyUVHnTA!C|a2C5JPI91-=^QILQu2ksxZ{%l zqlFD>d!Bg$Q5-$f)5_cI)LcKhs}JE1Nfd;UzdZ%-0+};5`9D&a$e?*;@XWF5TUu9p zdxL1Red0jR2)*lFX>GWOWNlO7g8{4w+#0LR-s*pMd{!8u9Qg(sP9->Yh5 z%+tbqbi6HJ-%C(IbRe@_^*&Q9JzcD*(FmPrPRqY@gfQ>MP@1$OGTVmBtV|##s&p0aH;Fml^q8e9?t?!ElPVPTmS zY&B1kD_vxzybMFLzBohkXX&NYJ`FD)mt-7ge!&^DvwR14w(tDy3vrSpDcK>n%RiOC za!br{q9-vM^!0Gu-KSg1j@~8;%L3aS@3;A=CzE5#^>dgh_(TZ(>;Bf+EbG!-glx|6 zi@y4@UOku)M|E+j)Zd(zq*UC9jY58?UipYJY|asX%f?0hV}$*m{=X1dgBM*aU3Hf> z8sT%Zw~2wC%~&>21$@UanAi$Tb5BN(c$aE#=>qq3xz@+Y6L?hG0dxZ+tPez zubL!(ZKg)@Ebs7j8PwWw>~;-*Z2LE_17nHdAQvJ@#+^F9=HYoQn(J6tOqZHL@&~h1 zvC?dQ*1(_6M2)OZ(=*`3ZJsLp!XiA0~U7yP9)iIFC|;G=kiVyNF+ z`Y5&?R*&}PD!$a)Cm_4^Ll^v!ZIB+PHt=Vi{6kT)M~*XF^tGM-3EwfYQ!_Ga<(lYW z;KC%&cNtdseuG2BWEhpkGfnW?;xgI@{re(mm;U=efj8g-hxA*YU$#D<%IoSb${;kp zkx@N9Jt3$qs@d`1B#~q_|DDlPQ%ad zdI*^8vaME}wI#I|Q}R`v#!VtadjjRZd5xbp{gYR2*6<#RZp^ki3sTP@!S#98#@AOz zpUtYR*xX(w_b)564hvI#(Sr}CriG(&*MdW&Km+iQ7Zbed9%%5e0lv^RLVe}Myto*= z)(IaJikGGK`$b(L;!U}UMY~}*)kpg=HL#u$8H@Icbj{;G{JuxLoc`HJ?LugDa`-Il z{zb_>17V{bL15xd&Vy+!%Xdxqt)nHp7-@wkVt*7u{H8QtTrgnI-VnawszP@uaE zL45<=&6Cyn|1BFF=>PnN=eA9z4i}F`$0e!+ra}LsikOkwW1F7rV!{;_(JhH=ocSK# z$mEW4F=PIcxqi@7HX#{?7ctK4pL1&Sy>}-e)>KG+S9T-cz6Gxm{+g%7@=s9z(l|k& z+VS=dJ%jXvXHp!XS^qLJKqI&T3h_^`Kr8r60p6>uxy6TcGJHH5Z5PFA-nue!Cy4f< z&v6owbCpK!}S}l>p#mZk^w*P^t#D z@CrlaB=3$>K_)W*oEqQ#_vxUcn+B63#K=M?*37lAQ@UUX0O2}P@0iBaSycM=ETx-c z_1^l-2#a#H<|i-1F+^67KukMWoKGNZeR z*{G&os+}~bAMv%z?~kzFxsUHmMn+%$joOzPVHRK??5QP&d5lBrt@^;aJEh;=g6yA@ z6ANw2X7K_GVJ3DaiBUNT|G2P|H9fjw*_Z^o21v56KqJ zVb(LB(KFZD*jifkyf3dXm6S0NM!d}_HqmoAk_$LC>#@pi=q8e)Xzmzhue@kOI%&t3Ns%YspV4)+zd^$qkO zg`%Nk)>~whg-~-JUrDtrh zoDd7L>4)w`P6?%hy{u6kAs4P%ud(jl$)L{;e}{|Lr7jMumFQ=1-z1mvma|_)bo6L_ z%Z{_IZ`N13dyQ!*0VWRa(07F!N0rKvxVkEkr%KqH3-66yKBDpbxn7U`E&~7)q zyBdV)Ir(wGfJ`Tv@!Z+Pq5h5_vvn8_4-fbz1U+{@B-0A3i@o4@711GpgDTIX$^8}GYt05Ky~UQV32|nlHHof!-sp0c3@>|K(NU&=$J`dTc^q7) z5W+|NuJ+f0cklzH&zT>4vxe=26Tjt&_f7S;Z0t_4g%eugTR1cC6Ty_X=_T^@861wS ztT_|Txe%ymxleE$GuAEHL0hulB!=O0a|#uGm9P}N2PPyWM3$dFf%PTwI!huzgFq+* zY`+)si$nYd=(?ZWg7(wiX9B!;*8%{NqgjlpC8!$(H?X34^D*Tm3pD6VUs8<3P7$Na zV67a&f#H}$^~bi`qONpqZ*4vP5HC&7ik7kFD`$Voh~K%F#g2B3KkY{jo*Bf*g53gi z7HMr(I$9JB*DO@k++T1IaS_=%ID^jZC$yEq%bUiH%lt%VZg)ij0tM6B$P%dw)S2~~ zo8-b`RkM2RoX2xzbGv6Jaf{8@H)p@}8Yl<1q2#VAC>e}5kNxVTsS&bo{ouAXz+!&n zE;V^beR_s7vhDs=$HmaMHzi_fY51}w^3)htA4UCWPDVCu+coh54t;WvB z$1WZBN=k}+=18(|JLyz_(}GbCS5q@R)7HbTV}Ali(~YsAWJ))rx#WBrZo)QqRr-K^ z@%P~gWSK9;BSwQ(OT#8lk@aG0$&AVhe`;kt@s{kjGK8-6g|WQk$HUdBE$5Y$<(J*g z#j}?2F;(bL?BIqA%xDmYM88P{^b*J|fKXX(Y!L>OcS+$rLrJvx1nm)C@5XZ>XWxkc z7N6Cl+^9UAg4~;Hh;d9KHpg}T@x|?DB!`TAe*uUwWsa(XEQakDIWB|(QZnhe@E z9-uoy`^;E5=zL%RKW=hEPbH%@cn~~%{WTj9a3PS70f4pm-&F;!;J=5UlR7C10pqR$ z8Twu_5v%a|GG4vK(3wDWWEc1W3#UN+KzTC;oDhVhuHKW44Y<6HR~m=r{`rDmc$sE! zo!GZcn{Q5d<9|(M2Ji2S%*5_Jqlr|Dmd>Z~=d7fa=)Y!R8I2vzoH%qE9B$QD+nfDJ zB_s7$L*hP7GO~}$1EUt43)zSex~i0|t@+H6s8VL!kQTw8ZM8BM1QHW195so%PKhNE z3OUXcQPeG|1mKKj_*y>Q{ag^-FR>Qn-(XQ;ixUDvt2%`K#ZX~*yMP=OiGSNG2=ck; z2mWY=`&oeTCcqP3#JHxP3dqYW%J@N@(#hc9qyEGFMU`p53B~li ziY_QH&_gu1)my4|KkSiFiw4~x_)BSKxxPNu{+ztU+g-eF;YPxmt*%7`ei6;nmcA;E zpI}T{ki|N2kaBtQ8o=T%$k*m`zMq&n3Lm1XJ94Yvg>f~t5{nNv9(PEXy^)nZ&(nMo zfkH@2@4-s=Kp-&$9+cdyc`av|U73cpK|>8>+(hg`ka}rfg8|(EjgkCe>f9k2vZ398 zpvHPAGbYFVJlD@LTx9+{YcyV+9=_?1H2$UN?8F z(+idpIP;0?P^Wo$MrjGgj|!be15Kh?g&t357>2w1Z!ZQc&JPa|1BDz|F=E&W3mCR0 zMyb%vCXVY9BkZ*a+JpW4zJQaY8j4bgDhoqD_DyNVQ?PQ|zA`vWiWr&P(c^i`EXBjt z)Zvz8$2T_7uPn$_ zP9zGE%*gCfq0^r{Mj04p6qzi_&7I7T2jB?B&^&m)Ezy`EfwHkwq|hE{V^d|x`Cwxs zK)(WZ2!k0I928X5v_(`oRU=H5jBs#^9zG9!@Wgy7--O&2G3ZaHL||=Ti3%7=!1jhF zVCV1QT>fs9qMJG-oMQ2(k5ypqhzb^$^+PU!F9ACx&6}(7!6#MTPmiVm+@;9h1}dW^j%CiQ?dA@vatuAqa`)3`s6F5PF5(t6cOmcTeoul{x+1N z^3K8ml`;8>+LH*qa;iq84xL(jO^7Vk=*v&|%8|`;t&zkyjGJPi(zah!x6ej7j>%!aGgq9z zBgqoKU2q9YaXn-&&5MqV>rx>oSC_wEl^HEYvUd(TNp%ivLNx?|Iji~Wj?SD84AFV$b};;cF2YlFI?hSJoYl(#3GMk z=9o*G=Ur&!{wj=YNJ3-^vPt&eNynV0FB@BGhiTNkCN@d1VSizo8pCfI=v@rJquI6b zK+nt|+TPfRqQZ@h_a4(MoRzu!vn?&Rj7DHXj11+o!E2hE#WT`8D-Sr>I^9o=mm-l80n%~zDe|6Fb* zXV7>HObHnHBq%V|;iaUcaKe_0*6bACf_ET}sxyRTDR${ZT&P#T((1dRqB zP8M^0QP#r?P4Dev^>!>_`_osDltkY^Ov&Ye?v@}!qXBRb!62e~WPmXgu&+9?OB9`O zytuleVq;UL@?C@heF3hj{(6;j(6&4hJv?A3l$Ss}jy>8tekLq@SLTHZHhQj_OA0DeY`iXkFU;3m6GE90w&C*y${HTqK~y>%-lfzStzQajK@}r{?oRl3Uy2cL*64LfqDrUZBs~=YVFdaAfF}9J4>Vp1DMMZM7>q@%~8&#ZTbaC~&>t(nLQxrd{fBF}UKay^2o)1fp zL~%5Vg}V5!o{oo%3j5hh*flftk|*RIwm?$kfI3JyAC&K{swFlqO0b;=L^z}M7lrLD z*Ne7Hm@^2!{;@AZ5jTB~T2w;`o_TJ(pr;7JVT;7t5}O8&1Ujp{VV)B{`B}m>xFHmJ z=R3wWSALkOI!}ve`T#1Kwuj-)!m3OEJ!TaFybx;nEw)~M$ld;~h(h#nEpJm^ z>Npgpf(@7jZ5UnhNP4D<;L7k>glgPY#O{=VYFN+E9Cf}Z5~O&X=fpsMl0Y^vA+?0$ z593b3*0$Y3cuM6ct&&>D?fIEAk9O5!)mgb`jMyD~6I@E<$D>IcS_E1ru4cS5(iM_c zLOPauXZ~wWuM)o`4))-LQnmGS%?Oj-jFmry^HLHN&z8{6=yTc8EA{zrVPS8;H1dbD zshJt5ZSSR|mPew}QfgbS&epSmeaWJoaH_ndon6`J9ya2SaB#?TfDT}AkbUO5v@9Yr zHq3^UNXSp)f`q8`N5U1!8XbonFH3FTW-jXs$5ZYXvqh0B zC>{S?0a+Q69rU^j`5VsV~L4q5*v{9gvZLk=B>?(PAv%((!>No*gLuYqtSwKr_4+FfA?s zqhw)0JRs*33em|&_&Si1wnLn3>?Zjn$4zv+(XVG^r6C-nCK>yZvAK9AB~?z{kZ&T0 zPEy|ptQfv#>c;5WtgVPM$9D>gTXqDGt(#@q*P6^#(BxS(%8np5U6ZiIi_!`#c1RHC{p8@C{PsnzewlI+iVBRPNc< z-VSkY_4O`8A%b>nLsZ9>(u=F@@x6q`VCh+$@G-Fj8bksN92OY7hh4=~(8CU$lbq_A z-Zh>)ZQv=dP*bn3IMc~sRsQwKsFhi~Yc2sd6D`gMAFvi+?gSo_Yx2HSiVbAQmaGh0 zToK*a&R}R2Fn;nuHSC`*xpr7Lu{5EXcSc*a*7a(vJ6y3xD<){rOb6~5uYhp6FF`;N z6zZ@#xBFPC!NPf;^9?az6Q*1`>vB9737D*jM9!BxGQsGiVZe~;#fujaqyk9^2{_Y# zzyP@rgynd6d4bVPPnAhelgGt(g%eKTi^F)@a?D~mnx?VYWYFq1nJ0yz&VUQ1sBK`7 zZ(XlD{iiWFQRMOWJKZ|#0NrvL3JQNPcqZ@%rX)n<6O@35p*0k<-N$; zghUqwU@>3WBQbu)bB$G?#e%30KyQMuLNod!Y(5mtjH?hgCIkG*13tlczu-3puVp_h zx*k)>a9GfkC@eypT7>hH@eveChwE( zMh(v&SPMK>I%QYNn68lp)=qIdJOVL3Dli>_YN1XV*PQ^z&kz_O*0K{45~32Y`4?q* zg+X1c{{Hnb^giJNmR!BSu@GipbkqXSsGtm=j0_TBW;hBg{z9XoDq`(9KyOgweR~R= zG*f`xO`_NHQoZd8;3~+cumyl84pkSjeVn2K6fv;7n7N(-m9Xu+8^!0(D9_dDYIY+RwMqf*@q1?WaTMQ{UTYf(An1YWJs~{BxDXFkZS*x~MVZQ91A5%@FbwAekOc zV$QP~&tfucOQDnqcD(tm^Y=;4+ZXf$)=PEt(SnzVtnF8Eq)Zhe0ED`_`V4b^Uff1r z{aQkZhcGT*4BTaO-jrDmX|lw|e4qTto92@sG=JkrcY*0E@o=gC%ei1LF&UBZ`0762 zCVY4yr7caWGvJdm82h!qjP!=J2=B?XiqmQ8jWNEMdpbEJvLuL4utlU#-sOV(!h5Oi z8K;uc1z;AMY7a&LdqV&Uq=>G#vUs4F^OaXVyu_XP4m8uu?RLjpa1zlL{%vh?*7b|L zyffp}Ynq@kg0X?JK~X55r{y`=!oyKI-nyBg=D-a5@Fdi!oon?rQV= zBj2xCp)X@?O}9UmnP)MaBzP6$dHX$)QEO{|UrJsc^<+8u>2n#s%i&ZIuqC@#vaPK4 zeY{Z}|9rD(1xRl-=7U(~9E9b1jeCHM)&|^qz+!JrFpdll?*UUmsX3zuY5IQzwiiEZEQWz2p@?>~ z6E)NisN`a`)g8K2U@U}L>1f^^6MXnENQYD5;g$4kX+Y-Gj8!m|{QWyI4h~IPD7bjb z*r-r?k3Wr^-mU(PKgaN-w!!Sn?{hSoeze}2{AITmS73M5BCc8&%wwe{eLq5e{)iIX z?`!x~m^Edr9Z>D$hW75yqA6wATBOYSu9()8J}x;NsCso$5^!%f-hLX-vi0VTb^5Lk zvA!abE+;DVzA7bwbWHLT0s^mCE3>$b^0)_v zo|AuPs15AO0j~XQfEyTfS3JcQB{{ zm|lY&{jNO7GT;Qfat`b}--jzoTH27iyE|293?j~NRaI3YL`g|mrduC|giW)8XG8&ao$N)A9v&9P>$HOiHYg`){O~R+32zL@s#>K=7Wt-2d(>r9- z5UHTI%u1K(~%i#!+4rNN3RsIji+0PIFDj0wd7ed_{JCm@y=n>Es;VKodlt!I{Hl4|bsoK$mO93MTR$^fy=k#ZZ>c$tHn8sdKZGm=>E=o7nLBu#jJexztG$UlhW{pqfw0?r-P0B?tASX``6mNAm9DKaIY>peEfMYz6!RLH_ zb!FZkMJjlg(-r;~FjT9dbRvV+J|OEvLMsGng7fbg9ZIMt0wpxPPk*8VGrGMW`<<%*tDq%||qp`LK$;z(T z$wbWgm?5QNSo>4bfQR&ixRfTc_6``WWKEAIy$-3yj(3(3CJwv#GV$L+Lrp+<7$A~O z*o}amMMh4}?CM~Wgx}>G;1XT}Bc2ODE6$ldJiol`?(Yv_?YIj>!Dp#5>qiHo14G6e z1UNW0z(Ewg-@&fkh7yed$8;CyrS}1O`Y%|^P!9FsbWw6DMJ=$jgZ|j}yu4QsC^MOoQ5Y*l|_a_WKE z;mYdjs2>skAP*{~3eZGpFbFu?miPQQ4E8ehT`_lYo!mUx(K>C$7LbSA=&u!t(@FWr zZ%CraB3i^88xxla`-0T?>K5Rv<-#`PFg2Wq0~S>~)hwL1tOAF*--$vB?=yT5-H;^3 z84^9qrjHk}YzIV{hTnPEs>=H2m~+S~oWyciGVSjhiRBHJnY*lt$5E+$>WPV2e*3!j z8|X)YnWq4)Vg|*VH-SJWmWWIa>OrmhnV}0mDadLpln6nWPv=HcQc~J+;sZqIdfR!Y zoq^X&jSk~-tnI%L$bFP;=h=X=MD>wULR@^I?jtq=23fvZk)nJmM^Gp>?d4v&LlR#| zQ4uXL?J)c4{{ncO27^QV0$5T`R~TG0;9_84ka-KhmkvYWnFFpLv5#y+yp)+tek zTBbtT-w)A+^T&%Fz5?SyTKvlz#)NTHkUSzv3p#`23GG+Z1Cz>cM+n}qg!@rGS)VRu z02ajE#qVhOBi_N^B<(EOBW*6612J+~V)l_67e=BdDyJE=6$EpM^iHWlWoWU?!}vu> zU!jY&VcYA}RWUy!M@kuTnBOB4BEu{V8e1{I6)zaG-CTr4X#P@SZ>-?CWf%If(*!Lj z;ROk)5JZ)SrjsJ-_wRTx$}Op`w^NYZGXb)tJY`;Nf;<2A(GrOLld3b|q$Swcx*w+i za(oqNBc1k1cpWL&+4qd`d+lufXGXb-!{+*>XQK=E4`RLl6)L?HH3;t*(z|GlYH9tg<|VfeWeH&1Dm0 zdjv}}EG+E*x)uYY15hv|U0gWvS@f&ssb~1WUka>?2mzS5@stgU!^>j!f56t| zwq%%B=Lmbv<8Id8^PqwH_`ucUR}b^g!>YO^8T-sZp**5!01_29so+hNU4Ry8y{{4FJA7w0qR_JHdsXd=Zx_$c^EDzL^u_djHq zth~<_oY3C>xVfR+a`lxu;diBv@F=D#z;+Q6SI$S*!D5Q`PFst`QB4wy0Yu_k^^pA(Dv z$>{?wyY`w{7qnfK>@X9#IP*)Ax%Y(WaZT&L6XH@m>m=u^sR2U>6bFm&K#6BFAU1SO z1dhfu@+nXr^vDe*GMsCw7bE(MEbmjk3jJnr5TJ;FPLg9azQsWR>|8;|Gj!F;&Ivh= zrrz{l4k8|WHJ;pQH2dyjq&K>2i{My3;V(6manskdmG4RThe!$6?FC_sGXEl%8-|N- zzSs57w^?$N2%9&M6*^YWSSs8gsi)4S<+sOLskKw3< zq0O((=za!#eQAzoxdl2RJ<63muu=n;t-4iPtd%S^h*-@TX zZhAP_bg`%%&9EJFzQ#6HChnJQ=ilM#CRD);l6xl~9-mA!8Tyj@lHH1rGGNi+OX0_B zb0pQV<8_dca1(?eS4`5OD-~r{fTR+uDO8Kxv?d<06XojSN)~(jPmZo1g8--qFO-v}AILRCt*ul7f;Z+1?nJ}W4quuj{hV70nOd?%9SP{9qe|V0! zxgb1=Zp>LU`9no~;5%l0X)Y@A=>g`l8NN=E(EXnBS7PsOpWUwP?XB0f zG(Yd^$&7HBYiT7#nC6?a{{~mhn7qNR^~G$&f8UVD)#%k}D!0p#m|fBG_NxkSiHX?F zABP4<1jYUQ^vlb1G$KOjp8X_BpDdtytRo_T@eGW2O1j-3iGrN09GmeXRrt8?i7NT? zfNuUiXGxj7rsgS_`a<3NGR9U7M$-eBtwj=h9t_M7cDqM99Co%n{zWr<+%ZqlU zURPlvi!@LL0$J;V{fU$WCyr~XbXMZ8*D>dmh2Ph3O^})AHzO>-fP1T|@LgggPzQK; zU%#TDyqMS3sbv5}S1M{^{_k)IA~sMlaKO(S08MW6jWSsPfizuW$845T0rE~u-}#gc zI3r{n4wOD=sGKl961qDfpvV0Zs}CcPqW;Jel&ed#S#ZOHCIpmKRvkiNnyl21h<3*CBk=$H2RDO7nc#O@DkzvmCf!;g(qk<77XFO?h?mh4 zzkHubNDS?HV-S1DCnpr*pGwe1`b`TYi-Sn-y#Af zy7P7)o@n=K`#T%g7==A1LQVU_*(oY?#-k`x({)-$KNQ~L&DdGa+q3t8bV_CH5S9Br zqB8F#D68=ud?P_SB(STqWnSMA$P^1&<3xA2CbVJn=(V;=F6-|2M}L`6>kLt=2o!$= zXL3GQ?r!tr{^e8Z**(+4yYTVq;C0sLu~vjNcw^NN8NtctP$Hco4p@h<3UDJiaIlvt zX4LPrmwtcohtxWrnZPx*xR?$U*>ZkbZf-m<*!@vp=vo}gXB!Swo*ck=&pVwGQ#%qf zq>--yo&Kfuj(z?iDr>prY3>1lz=yC@x1Iw|9DqvA04Cto1y^;?dl)LzEWXbLamkQ^4Y|NXLA)dqQ5l(ap zlL!rgSs-g9EjP5C^-8RMYme}+@%CR#48gP)>bR7k!}NW5*K#R7g9VK4CmKM4cB|di z1b8l%1I^G%MJOFdY6KcF_rfx2DLeAWrC%B+y`p3MpgBk*0LP*!cmKE7Z%4kaeMQ0^ z$~eyQX8QM?4s%9>p;DU3x(WxkAU4*-n&s@wp_Qj@!A?Sl03(Qu>)!kjmH7+@dH+&r zNbXB^Hk=H?33)Kfwt~`!JE@5knZcmHZ(!8D;6MLO_Xo76e|>HRt~uU8H%)vkn{@8) z0VByUMlnY&XYtP*O&$S~3(`(>?B|W04fE@@+6LiI_a|Epc;P*>MVjekMY#D8-a|Hb zxK)$cwA~A(Zjq4%u9unl+X0ps=ep7JzgvW>ztd0+JZPPALw(L6%`{tai86zN+|6bON9n@zjxu6aK~=` zPBIQ9_c)xsyRv`PgWtnUZhZUja6YKflisRsy`a@}9t$R0!MKz_-mK{zpOF0CM$CpD zVvWkEmlmOlC1NE~I{xB#Xi*f>D{tF{vx^N#?JSZsuA&81 zE|NJJ`8>`k0Cvp@1)%`W2O<_qXHw#6m4L>)vda6`USD6I0Duxu1#d@3@V{1ovhP97 zCuxTJ>2wAfH zRia)AWu}nN!B$y8UOXPHOt0;2-Cn>LCEl|6lDoDfAF-`1$x!dr5RtI z96C(O@Sh^Ke6ivedHEA`GCxRlh11=VtQtk+fXZR5t37qy!7r%%pAELwyk=8NgIF9V z74>3grlI|5LAs$EpI8^h@^S{h7!(2uM#}>VClWrVuVAkyVd?x|U!IJwf--M_mlEC_9@(1zg!qbS{KF^BABu zl7up@<;`+Tj34=`^@%T7Tx)RyR{(MCW`1o|)W>A!&X}Unyk;xs2e{iVvD2Tck!PfsF**4&E* znfG9*NryA$c3-{g*E3zDG+k{b^$s!%HcKr#R1^=O_okMXG(X)&?iqx3kBc`j`{UVG z0Da;7w1flXuWG?A`WY6?I8bbt`?JM9vtC1lMyck-Fl*-ofEk_o>pv|g0hOo5fl%9V zMJu?CazCbWScH9WLxFQ8+~jLhXpZ%Hm;c*gImXG<{>@^V9S#TIa}*YQ5Ym8ouuvfK zJu|HNqh1Wj%dw90pHr%js4oOI-%P_YAT!eL5n@@xX4<-+DFe#| zySBP&eMs@-$Ge-WMwkd&fw8MDVJaWQ&WwLSCt3~fO81#cCAvB@9)rHFz!5cbn=a;9 zG||h2TpYtPB#Nx9`2xlaSXi&pxHB#B1?=5dZ+F z2mtkI@!tYr-Ul%686KT*gFtdUotJ%^@eq%YyPZ9Vfemw9+6@oPvtI)mJ@GAZaPzAT ziXNsiJDMXFyO7WJbI0Ds^i2=z{J2)wwS=vgFu;^S&>##x;zMtpLvEXHh;I8_-F{_* zP)K58?IKBQ>Q0-vPo__E<)LrkHq^|h;POp7+p79npK6^Kh!DL;_a7vsO+S@0=+(C7 z2f~PU2bjiElmY07(T)F@e+J>Iu&k z4ODf2DR+so1;{O`$HxFvqh|KSFt$#nrL!DKVIMH(fQ}=;L<;=7rkmYCmS%;DnXsm2KZHXi&zXuL$;tS_!oofmz4-b~jsc*6K*7oMWnE?EpJ2FwgoLzt zJ#R$I&R#vEK+CF~6UjL@O$ zc{aYxDW=0M=SFEdyojf|dx9U3fm=^vyX!32Yf6e8-!>xKkaVLgf4Qpt^xi!qfu(T& z(;*)xP2L^fTNniu zMFkT?zybsmQIL=hQCdYn8XZuiyVC-Z5K&4(kW!GAE~QhHkW!E?X{6)qXJ*bhzwfN` zKWlyG`(`cInqdIn_j&L8ihb?9ubsTcJJRBhXERDW)6a2}Y#RJIrld^Ok>xAiYg`+D zO-fT|d|c<+(oPby)MB{)e_vU#IdbdPE!YOxDTMQhUA|0)Q3Kl{VXUgThuwN3*8JNk z8RR_o(i01iAaAc8v_u+$W^@qG;GvRmZFBq#zP;TB(DaPm7mU#MAJ8q%dOJV|w}#ekMXDo53})!=`i5PyVkU-L z0@;SGY|t1hv*XU>KbxlOzJh)q9$^PCqKDG25^M?iVUCtV`@;@V(2Om;SK9vh?%9VE z{()QFy6e}DPBW8*roM^PC~xPW{8x3*BiwpGg!d5@ONV1B8?1ti2Z1nT@@@ts&;1rt zt4M21fCetB2uxE3vsL@h;Y-!@G&DR^?(FFrXVvRQxC;?tmiU&Hs(!0i)Q#^|N)$yc z3)=nn&U{>Fma{UY-@Y9cDS42UodQ`Aj!L*Uo+C3<*)ye8ko&L_K>hD(>PJyYa%KpwzcYQm7>xs zpCs8c{C4VIj~*Efo>uotH_?_&4e}WJ!}M$$uUDPK3mQ^GN}9ag1G}27@}8(Or|{R8 z%!Jw(uq;o$k9@qG8`7Ya@h9@_hrc=lqZHqn+g#MNsDJI;3{?bILgBi25|f1q6Y8`uRJZ=u5jbVF1)217!#dN zFz2_^_Kk_r_x)gVuEF1@36KN{Tb3A|qn;r-@8NWYY#PC56pi#1l;ohOh@#A*4 zZ}*2q51twH46=G=scP5#Yg>|;wghN+>=srgo{R?4G8-|KZ3Py(XJFv_IUuZPUCctf9r(#i3ujyXhVSJ@@(kxV^? z3z{4}p3d}OOWBLMK-gR`vb&i1Cf`(gW%yd;{B2d=Wcc0yd0ttSKEXmAk>c-mO;BFt z`vp2W!KWi@+^}Rbv~FlwQ&OD0>3@Q#H>>3<^!v98W@H__RL%G8%Z}v+OU^dV*&}~S z*286MPkhp|?OHigX82d?WCxdGyUKc?nv5jAXKFh+SDw-wz zbmmDm=sR=s9~oV0n^tn*EF3jIs%Cubm5k2AM^{PBmz(-%=NOnzZ+bC~np+v^^lzFG z&-mO)JY$K}HuKq*x!8oMtI_7sR>P_0HYUpb4&U+-?s?_aJ{G&Pi-oT% zLtbtD^?r6>V`x#s#1%W($TNM(hNA7ds?9ORH{zCieo39? zu+*Zv&Jv#MAKq}PZXs-!<|a((X;=Afab|AGOv~_HpnF~0-p+cY;;Cotqbn&Mj1gBg zgr2>8WOHY3R=n=CY4|VI*$W^G`j`rJ#`APh1lGRs_rE}*nZK6aP~^F7TN?n^-PPpN zC8FNQtDOsw@%dU|@bUWTI9%|r?LdNq0wd5-cJzca7L>NrfpFRly2W`*Bw(%4D^ zu9kIxe~g7wMUUgLm#X%i;=L2D%5<=gH%WLLGw){BB z|JXjwc9wprKy7&aWnI#(VXFFqSod{`+ra~o%!|_-5mWssAMB^@I{ctjSE!f2I3e~S zb`jF2H z6J5z4)sLqgdz)iP3LQXS<(@}0?hwbdjf-jstT~}hheY=WghiD9|mSQbozjLdLmjQD5UA>o#kHdNaYoIQ}2CzBP zX@Wi6*(2A?<0i|?UPiGPi;B|eF1M7li4UKX`eUsJ!@PtN8F%|$G~$m?VINjnc8=kz zKU)vzti_AgGh6(`tq@1{RFRU%H;o&+FAAnc?+a`SzT&&vCBY*-U`WR>P*4PH?9R1E9k$#sO^nk6MAg$yHp+uy1npvX0v zbr*)h=B{sa6s}H`gne{hg*Q)Db7SLkz#3agNoN*#)=bvd*LRYWM`6%y{4>AxVm2l? zWZMpzv9@RGQ?dmqZW*p?l+_+!mb(q~4U`1` zsHo%4&dwqHHi@BWa#B*iidQGgYHGaD5v1K~phat>R%oBTXUa$PI!~!pyQq{xCz*Rm z&viY{y4onEu=1DFe@MemQBTL@*%=+2JTWrAe`>?xb)XZ6)wSH{cQ&41Nx}mcT=E>= z2?8~O>*SGbM{L+W7*lvWrtJ016bUJ6b?OUpjcEIyk4d`<9Lu_rn_qV8Ix)B2yb zWqg;s_%bL+Y<3@Bzyogo!Gq;rA_Vfxd$$s^UVP-+J&rx1K&}ZMieQR!Qtq0B~ zXp~*QJGVW2hSFe5R2#L$sfy#|;6^1!NTxD8o?`HLDEGxPn{3zp-mV}_H#l6~d?xgF zoBgGwzPGAl`Jk9hR7e^u2V@5&4aL|Xp4!9qVfRq&2xq7a~kjk@I z9SrOZxSKwIw&kD-jlPWKcw9}fMHX|l0;SQnVS|_ga zW}wQu@NuoI;~1*+Inm4=zfBZ*-U+{(Vnni{# z`FMFn16(?+b5&1|5wxF^*p_{}Ekz6D{2nmo;eCWSVE?D})|v1!mR}#D@#(M}thf=0 zJBy}t%O`A6f@NG3yg%cI(M9?N2M4!~lancnp)hv8AluPXa#+0fLP=@k0kPBv_w34I zdMqdH%6Nx3><;?}1^A{WJsa%L-~TOlvgpO~I~Tr22Ze-)?Ymd0ly?P2Bxle+&vNi7 z^YU~koapE4x=!Ar{7S|Q+T*IgGj+Mn%LklYrm{PoSfp3>tJP-x>J6$fKHQl+{-5a5 zrT*gL|0A~KL(5$|?_{24b7B=?{nx}q16UsISw_@w>OBYBI(XT+Bf>?0yFUVk>JzKn zT-D7*kU)Ce*r7!!RXv`@i|Mr$wj7%NXx}a>D)0H~xeG;!5M=;Er=Rd}!{?_ArkJh?MoRSxOopz^uyHnVWBqaA|OG{?exFa&P zDr;-oQ8-;0+P9110F;q4Gm|=8S9nBWu~!CoNJ32PL5$6&mrK79roySM*LijftU- z_T61k#-X)ACY|wR^{?HmtE+p&zPT4xb2o%s&_(l;cKVmPeM3F$2`n)-E5%C0Ue-pNzS+49LtPZbEl_cOk0D?Uk zT$cwE&}BG0vi&quJwV)fzyq8PvwFlP>2%$y5J3k{FhP~OZ=Io1eMIH?CwyQaOs#f9 z;zjG_*$0fDzc@^{$(2nNz42TXVagP3Y~jADcGTp4+u?y9k8zB96BE0>+&^|&!neG> zR4%HQG3LkQMN`3jPf7#B!<&EPrf1C_FolRyZqxH}uhF=6gqPYTwJQx_SH^t6o5I*h`+<@YkH4 zo<7dS)vP4g8VMoO@9t*Oh;zZFT5cId!`D+i8&b=}B$$tpZcwfi)kmKhmD4!dkmchX zzSXVbvysTPk8Te~wTw28mSlYpDDk_r`pk%_m}+M0OMZon7|E>~7BhXG<=V@;K}MV( zN&ohiLl$#MIuYT05b3Whba-l-u5$1K2h}Wg4n?AGNupf9)D`3%Q7D0mmnC;c!Ge7ceLg5i%V{{p)$48N-!;OAUhQBI-4Tm9Ca2Ojol)7mqJQ& zsafOanW;S`Jq1)IZC=j#6M}Ch`JQV(Jbz4ot#pnrY$vA-gQ&#c?dgx8Y~Z&Z5d|Fzqd_*@vL6omWyxA> z?*yKvSqfDuEp@uRGg*v2s8`x~Vf!7Ho1dyVo|?_jY%cd56Ye&p@}RWcd8dEQB`?x$ zr+bh#yGf4g9?K*?W0t$dWRTNJ-yb0(Ij5z5Sz&T{SJk-nwsBXr{83R^K9pwruX@y~rjfun~0ijfj8{F|a+JjggR(*x^v zFVYR+F!LqFgH5+GF!FYL>(5&WAeJFA=l&xryjY4$L{y$a==1r zs;l48KO)OHgfMs$C>1Q-qE$S9O@9Bz^D?rNY(gKx} z^XwaP+Etp27mfNff?T}}y?ktARXJ)W_8#T&^JB1{$PbbYK1?L0fS0`B4DA#t`FwGw z+g{!r+xYZ&f6Gs4uce0)hsiBe7vaU{6V(gMKqxL3zR|6etm8Im>n4OnxYJ94OC3fR zIM$p4Wm)s8_0DIxS!vU?Z@nrxgSFKkGey^TvXb%%@b`loQ_ORWH?GU%2Fr?VS!>)j zdI4tz+b>7{(hUv>UpvifYTR4t%f7VIE&pVtwE8`1~2g-+L9mXH-Zp4!D#_)_FqmQI9N!11qI4OgGr z#^2&PmWiAfIh6ELXUo^_oT1e>o%?}Av{|O?Oua)|)sV$a-{~f!FzN7@uE;5v-(yRG zv~-7Grj->YP#A{cbE@o)CzQz%;!n#QrDSRq=2x7&b+Q0vrnagWqc^<8` zf@$+QPZOsH+&Q^()%l+dlo`J}CJFCS9NCPV5~& zAzfM8wk6Q>m5n3)Q4SM5>G}N_2W%m?qdYAv;Md@_>7QCVT#^!9|F!XU*FF(ZSx+j; zq3)iblsj=6iWT}*Tn6KeO%%-rkfK=J}KAD9|~B9+=gP%TTJKI`-Km^Ny$f;KZboOUpPS6*DUZz z9)Fkl|LpiV!MrxP=gB^NmW}PL!`#sCuAI~r5AO5C>I%#v&(KpdFnmEfCtm{E1CMe0 z?VB1Pa78(hB~$VtSjppI=`6z`jW*qpCubI!f7am z*YDnsH~k??ZI>%eY3usK7>1>q_9^W;bS?WxRlNU>km>qDAPHfmTB3 z%2^5srQhv5aXsuT=Ay_HUkmKaJ{{-L<5bHNNxGG~eRrw!zoN`#ym8E8;}1W&azf)f zs-iXBxpB2DL**w6!5@=3F=zT4OUQ=WnW-y!d#(vDGs2+yF2>J15w~t%I{87f z>f6XgXY(b}Vv#u)uNcd(cO}GZLx+LYU%5#Cg^SZ{>&C{h47xJyG781>#|#qBQ$rf2Ion%_!R zOo->0bX_U1ov8O)UQ%7Sdl7jN&*iwZVw^6R8#jp6n$1&~`y59z!&`7gM5L~`x*$Kl zZ){9`at?b$SpsVnt4K*rO6)Y=E8(%w5OjSoe)Z>;w*{UO^t1_i98Sh;9C>@c$EJbh z>D285TxaS%%{*MoYEPV5?upt=pP!67J6RG!Il1QU;L?3pqAnrCYUI||oZ=^EPrtCQ z2@dv-KObw3Wh#pq#>RHpB|qLgFd;=z_i^5^W-K}hd>=+kfM(qMh7G?f@3MJPm^&x= z*6ebBymdd$`PcFouZXE(#i!RpHE3Mh_iu;=uu~X$+HwhK2|WYku3`QefF+>NnmS zsD1$@_^IHoFK+2z9;s&=dxdE%OIw5gLD14aXcYwE0R=j`Zmca^PjwSK8v?Wn>rgpx z`O1}9s6oy9EBCCetr4wSad9z0afdP+s|Z&Yr-sqnaM=0b{P#~zenIn}tnT#vgBpP~ z5&rr{-_H_#1nw7BDBQ*6gpm<*%)zp1%AMA;zosZW*3V%n4K3N7Qj2E_AFevh-U`p;AoUQr z?=et1+_~B@wn7r)m@_bC8XaeNC`i)Zh$_i5<=*V~n(%8PjlOF~Sq5c-cB_h?E@?7* z1ry+fyZ?8PNd18_2tK{uyg7E^!iA4!W(8YUZ>4CS;LBaxwN3v^cyD?YgYHm$sNih% zsk?qe%NTRTw=b(rJIUNl8_z*@XIFT5c;XRlNvKqwLu`d8(+5>8Ga!^;9oJAO)o9M! zyKvL`8f@NG%gxQ59t_qAI--#B^a$6z5W$aTMSl*%kiH)s8_`@5GHEnxoVt~}N$>&J z07+=iwTS7U!%?@lwyW#h>Ns}X?20`Ud%i}`lcN+fZDawN z%d*zPo1bE)X=Oxr9+dH0OP;D`)}m~Z*fIOYb;3SQo@DQ?@nVNn{^i+L|5SU^RjY7$ zk-F0AC-dZNn~|uf#?39w`#yz`+G=#E5ZVxcb#GOYr>Mw|_ zO_Q2*s&+dh0CQp9r?-1OxR4NY^dqx5P#DU&86A>(}~E(km?QAA76x>mbQ;Kmh&9 z7doZICqWV;-!m?l@yva$QdVZy5L9At7MeGj&02oDm?nB#SC6y9WNwoUf>r=InYTYb zRBSvVSq7!}P6`U$<=H{3w1@wUK~J#|lH1{AA`C#9es`rva4IS_l>-MRPkl-kp_r&ijrWQR`jC{!?Z3oPiCQ{`HH`T#ck;Wi$DruiVyv zEM4>C{e3T)<@>x&N0RJj+O@INPl-FKHpK7@*C~V`n_?UJHg~&j2Ty=6gycGNPd*dt z*|V`}X?2yBV9%rfd#j`RB(G?B6&opXYwEPaTVG=f{nxyw= zO0vAN0&Cs` z4U7tYL7Ry^*j!tdphe3t>k$S}qT1_P9zd8Lz+)jDfJBlp`*R44n|1qLGOlO_5jY~G zhW+qq=bY#o?oHnb#)|JM1^|4pDO}1f_1*dog zFYuiX&SNzg8BhqfBR{G9?Wv~CamjNJq)bon*>j(amFMtyyb`STP8~dYL+=Z^l|&9e z(NqpV-OJba?tf<-)q;O^1bbhI9v}1=f?R}CFpDS$sQ3v+Av(@8+u$XEi>(}T{02Q? zHGzFGd^TgRSk>ntXXkX=a4udMJM-hm4=FjhivkISv*!TB5KK{2WKs25(6!1o433Vf znW`4VV++P9ZEbCo8CL)fcVVL27q&K!hc}tN_B9;%abfP-r0eJz4+YofPFF>$emPzFdhV;dBV4t~6ny5tJ}Fvt zz-d#CIYy_%6|Z(>VS<8&ET*790Qoq{vOSj{VaXHWHXUvP{5E6d7!D9%n9R;$Vs!(c zuGV~)t)!ea-=Cx!J^=CS0JdWw^VIW*maL2={qD^2Cfy-pwxGfm_(8kqHG)={p9|~` z3jci9U}R!a`)I17au@}o-o1N$liIe@*tm3@MH)N*f;n{J@!PW|FD34Ud<+g2pZoS6 z{qw+Wb3GW2834R0c2NjZ7zX2;EQacj+`Re1V4~KGrXE6I7PARdf7<#;E zq{R%!KZe)|V&*7}eg>nTPC1%ghJ>6pP=*O{i93la?r-U*(|g5TSCF!l6VJ7x6sn`= zAi7nLD!iDHuhDR}$xSAB;g7cOc?+DI=(5liJtowC^J}PSf%QD4XFu3d_xPYYt{@kd z6Xn~Cqka-nEwm?C(DAafwHo) zB+YtNSf?qtx(Z`Fe)2@c_Le#!PXag4!4!z(u-zISj&fPMVXB_zVX@YCId|?7ubC2u z{nzi`^>DPn0ABgiuNk7(CHVOHcRi2Z1BYoMI&I0*)K2A(#Yfad zoxV&6e^7^u-WG?sBz}_kkDc(C!k38uU@ni8ICK6xMPqGkMkdogUp!l}l*hi}s_H@I zsp20Iv4@a5M6ko0iug4!PwznK)!ya9|NQ6v`97D zVe#gF{PBF9-&m@9|B|>c8hPSHi@v@7nuO#~gY;!FC33lco*3~z&Yvj1LoXVqctIaE z0b5{^yutKSCoO@etD67$$Bt?z>pyRkZ0mtiE8=ng`@_-yKAlgGA<+Bh>1;g!Iov;g z>;L*Uv8P*)Dgx2GkM5X>n$vupo;<2`w0Qou%>C{IrpL?iVU#RDKTa! zEG$I1bvw@O=z}drI?Y$Ur)YW0G3(;|avR+y{oJ`4{^G@F2<$e+>^cP3mm zFj!$k@WG-KyC!soaUkr^vOIgMfo;u)(okmF-9vu*sX z+88MmhYv6R%7ihws#B_&WKye)si|ob1U*Kz<=e%SCo@%&0v#78*iw9D>*_?#%;F-kJTL3cy`luR#bvbCF)&ylW?t^@ zB!puCynJ8_l6BX%D28n@4>1rDmGXm*#nz+y!I?$>tZgpm%-`x1!5G3mf0S;^4tB3D4Y^_>Qn5L28D5|Jn+{cQF}8= z!(of?M}czV#!==To>z-%A%TIC2)CH4*=Bs`1-`WPvplf{4Bj1TC9Xn-S)JWO7ilsw zGmi+^5`G_5ZEaY$aPj`UqtM3229Y?dCprU(9a6+LUgHiu54d)cHd(||1jW4;Gz;0A<&n2UB@B@VtYNY1Qpb4!|x-GQp(zmsQ(bM-(F{t zt3t&iftK|jP>nV#PgpT7mw_!zwVt zvKB|*ti?RM`*1#shmi3%HzJxe0>Y9+mWqy!&N6Twg|*j?0o{w$`RYaWe-m<9$QPP~2P`vjK|A{P$UK$%gZV#PKgIT7TI zh5W~k53&}QRW4^|+(oeI@9Sga<>ejC8;*R5hkVB5NA8W;#l_%_)t=4H@%>}la38S` zOp3V62y2KH*3z9BcfDIasBsZlhxmPBwzk=S$Fufy-TlY0EKv$5Q;0PZFJ9>=fS}+? zKYAltv$J>SpmLK!X&n@FPK!;Zqh&t^R{P($uDox_wa}G*uOuVnIPbr)JbbL#>cxu} zM3iW#+(dn%2!RPxoFXea0fiOR_=X*QE8g6T{AbU~ZIxLkF2cf|RDIRe*XO*bJcD#6 zT)K12-n3-uUz5guQgmQ}1P&;j)cQT6^$(@dWagEa7r^4ra2tJ>Q%q`AM0%dbwq}{p z(a|h3d!fI8(cdlZp`Dt*3y7<(u2vj|M}wLoTc9G^syK8eiQgxR>0d|(Oh5QHrIPP{ z`gaZUcX{w%=Dhz`3G%=GW-(I2^99yYU-2P;KIj7{6mST#i0Mm|A7KWpGKx+HuQfC0 zh)ra^Etbj(EyN4|c;3>Yw6?yE%N2(MOJrS$QmN?a<)x&^G0P7wl0W-$#oTP1Ht0v@ z=Gw4`^HQ&8maczPH_UB6oy26q9f=nA^{{8_QaL%6!d=YeN2$svo-ckO!$U{h3!esAmE4vp3nEnD=P^*7Te$Lp8;`wg0o9|p#zuQPaA3^wX7tQ zKg+^x^W&;m#X&Dn3Fu536gU*WSUe|05VjB!Z#lZ+#lT(aHj)I1p1yvJ;`{4tf#KK} zim0r_Pxu}oCdc_zm6!X!dZo86sV3!O|C~kI#eqHtLJ)N7grQ$&*FiBC(f#CSZ?7%Q zG@)#cML!^$S~&Y`bP4G`E`THE;lr(?Xgh-etP-jG&uH^ie*5XD(PccfQJ^0e*EfL8 zNds98ZZXUnn3!PyiFB{1py0G( zsGQC7tDSse!O-86_O>lNuFdWYfUiK3QAFf;U0_50B%?SnAEq^93=A)c0Q1Xr9`~#A-JA zO#9m1B0rNE+Mw8HJsfPAH35s>Io*!3W0=BKEM7HV#SQs%5`7y7QC$6931z9XYZW;v z2gEk@O+TU5_Q%K|4hLA8sPKqy#8y&iXu_ajE}213tYv9#PQciV*rltsg0L7DCmSq- z=!#d|gzdaK?{O`N`Y8@VOBo%PKY_7|?_=M+d&g<=!MGTEz2Bp>02}aS?BmB|tS3&0 zH5q0p>gmM}jE%7o55I|cYf#3hesm?iin6{TLf{r|diY0loEWxA!*1?E$2?55q+yWO z1fE>%fzt|7==NU$_K;hQIvK_mR=^3QgDF&wxgm@kLhoheSVAu zo@elW`ZUdPorv;1r3H3V=ZYZ63Sc}^NaE+`caPyQKCK#jvh^Ob#)4s%;tv2yIQDw&>frko-0DzZ17c2{qlDL;7 zm}f}?3Q1)v6h1{MIPE^VdEX}2a_||E2S>kMJr+pIYkC%~?iWVYy3)goIm|t$WE4Ak zQVQFelT&pyiagjIO5Rm7%XV}49TU+Wb&3@|E*&s%z4?xjSeY&^1mP7*31j9Of4hu$aD_y}&p zy^_F|FuhZ?_61CjM$o%bf;j&G8SfrZ=1+IcIKBTJ3LRbo~&hA=Fe_5 z%H`?iKyyb@7OC_g>LffwR2w4fx@-JTNDx?N#W9t;(bri}%bfvtOBV%&Gqx)NM*|kM z*Z<{9(oe_S*2JWwo_08}1=fx&zrJXo7|ot@&s06XI3^~h!wTuDNL!~@JxK9qo(7C- z<(T`Cg}F_i$1Nr$F6L$YN&Xz(;fP6z5)10qo`LaoI%1nNAMXHwH0~*m0JIgYRQ`!}tkmf-la<6o@h$he zQ`D_4zHbB_0x)^#9Us>iyhN6>1Ng+d{QyRPVeHlq$GZ#kRu&e$q56@%@JIOE)fHCh zdvp$KC0}Ch!uI|~0M0@hyab@?^ue}EcvZo)@+eH-wxdQS*bA_Yd#s(B05daylNl(z zVUULvv4zTWM|M(D4g;)1sev*7Gc=c>ZMOpd)Vui{m~;*B&B#@dgw)oqG%GWyrmKS*dIrjJj=jImY8}$;EGccglPyT&{J`7aeLsq zAM$gui%VKvCX^O(GUxy3CAFn7{r%K2S_p%%K|@gc@8lX)Te!Z^wFXA~y((gFsCKG8 z+7;AH#P}E%(5ak@Gr0u?bI2)~@PGsjlAMB~zl>5u4`?V!Aqb)%l+U1{wis<^Wt#g@#_y|yw8+2u}BRCxT?vrV|o}r5A&dqqaJ1_|+ek-CXfu3cq-~QgN6hO%M z;j5^Wo0EpfK{Tp3O2Nb=6{!~`)(G}a2Jnew- zy88M7)PnId2ytfQUam68qWe%?Dk&|b}+nK_~Ev(d|Ec>?E3}5 zhbyx9-}Y$T9Dt?B+8oLQcbm^`Ll8W6t_c@em|gzJwEz|R2gA@VwrJ)a4mx`JGxE&) z$$iKhqeZVjBEkY;ZjJFK!Vs|y9400N8ot0I|CNN#d5N%TJi*MoeTV0>l5y(8hdGg- zi1876PNN#})qT{|x9*55L%xoznIh@UcC}CkE(Cw0k77cDHK*SU5U;r5*D1(y&iwmRgyM#9%HGW&h;13fM&MkW&4yh}Zs H`{92Bxqrtf diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 6b8eeb655..c0df620a1 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -33,7 +33,7 @@ By the end of the example, you will understand when and how noise tailoring can Noise on quantum devices can be broadly categorized into two types: _coherent_ and _incoherent_. Each has different properties that can be unfavorable toward a quantum circuit in different ways. -**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$ . When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. +**Coherent noise** is a reversible process as long as the noisy unitary transformation is known beforehand which is not always the case. These types of noise maintain the purity of the state. But in a quantum circuit subjected to coherent noise, the errors are easily carried across the circuit. This can be discerned through the **average gate infidelity** $r(\mathcal{E})$ where $\mathcal{E}$ is some noise channel. When coherent errors contribute to a portion of the total error-rate, the worst case infidelity can scale as $\sqrt{r(\mathcal{E})}$ {cite}`Wallman_2014` which in turn reduces the performance of a quantum device by orders of magnitude. Thus, dealing with coherent noise requires a large resource overhead to acquire inferred knowledge of the noise unitaries which can then be used to reverse the effects. ```{note} If $\mathcal{F}$ is the average noisy gate fidelity {cite}`Nielsen_2002` defining the success of preparing an arbitrary pure state $\rho$, then $r(\mathcal{E}) := 1 - \mathcal{F}$ is called the **average gate infidelity**. @@ -41,7 +41,7 @@ If $\mathcal{F}$ is the average noisy gate fidelity {cite}`Nielsen_2002` definin **Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. -For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel or approximately close to a Pauli noise channel. This conversion is determined by the depth of the circuit, coherent noise strength and the total number of Pauli twirled circuits used. As shown in Eq.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_Paulis`, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. +For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel or approximately close to a Pauli noise channel. This conversion is determined by the depth of the circuit, coherent noise strength and the total number of Pauli twirled circuits used. As shown in Eqs.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_Paulis` below, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: @@ -64,16 +64,16 @@ $$(depolarizing_noise_Paulis) ### Pauli Transfer Matrix (PTM) -Let $\Lambda(\rho)$ be an $n$-qubit noise channel with corresponding Kraus operators $K_i$. +Let $\Lambda(\rho)$ be an $n$-qubit noise channel with corresponding $N$ Kraus operators $K_i$. $$ -\Lambda(\rho) = \sum_{i=1} K_i \rho {K_i}^\dagger +\Lambda(\rho) = \sum_{i=1}^{N} K_i \rho {K_i}^\dagger $$(CPTP_map) When all $K_i$ are $n$-qubit Pauli operators, the channel is called a **Pauli channel**. -If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, Eq. {math:numref}`PTM_expression` defines the entries of a Pauli Transfer Matrix (PTM). Here, +If $P_i$ and $P_j$ are lexicographically ordered $n$-qubit Paulis $\forall P_i, P_j \in \{I, X, Y, Z \}^{\otimes n}$, the following Eq. {math:numref}`PTM_expression` defines the entries of a Pauli Transfer Matrix (PTM). Here, $i$ defines the rows while $j$ defines the columns of the PTM. $$ @@ -85,11 +85,13 @@ All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us t The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_Paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise depends on the circuit used, noise stength, etc. -Generally, the higher the number of generated twirled circuits, the better the result. -Similarly, better results are obtained more quickly when the coherent noise strength is low. + +Generally, the higher the number of generated twirled circuits, the better the result. Similarly, better results are obtained more quickly when the coherent noise strength is low. ## Using Pauli Twirling in Mitiq +To demonstrate the differences in the two types of noise discussed in the previous section, we utilize ideal and noisy variations to a circuit comprising a CNOT gate and the functions available in the Pauli twirling module {mod}`.pt`. + ```{code-cell} ipython3 import cirq @@ -352,25 +354,29 @@ error_no_zne_no_twirling = [] error_with_twirling = [] error_with_twirling_and_zne = [] zne_vals = [] -ideal_values = [] NUM_TWIRLED_VARIANTS = 30 +ideal_value = execute(circuit, noise_level=0.0) + for strength in noise_strength: - ideal_value = execute(circuit, noise_level=0.0) - ideal_values.append(ideal_value) + + # get noisy expectation values and compare to ideal noisy_value = execute(circuit, noise_level=strength) id_noisy_diff = abs(ideal_value-noisy_value) error_no_zne_no_twirling.append(id_noisy_diff) + # get expectation values after pauli twirling and compare to ideal twirled_circuits = generate_pauli_twirl_variants(circuit, num_circuits=NUM_TWIRLED_VARIANTS) pt_vals = Executor(partial(execute, noise_level=strength)).evaluate(twirled_circuits) twirled_result = np.average(pt_vals) twirled_noisy_diff = abs(ideal_value-twirled_result) error_with_twirling.append(twirled_noisy_diff) + # get expectation values after ZNE and compare to ideal executor=partial(execute, noise_level=strength) zne_vals.append(abs(ideal_value - execute_with_zne(circuit, executor))) - + + # get expectation values after combining pauli twirling and ZNE then compare to ideal zne_pt_vals = [] for i in twirled_circuits: zne_pt_vals.append(execute_with_zne(i, executor)) @@ -383,7 +389,7 @@ plt.plot(noise_strength, zne_vals, "", label=r"|Ideal - ZNE|", color="#bcbd22") plt.plot(noise_strength, error_with_twirling,"", label=r"|Ideal - Twirling|", color="#ff7f0e") plt.plot(noise_strength, error_with_twirling_and_zne, "", label=r"|Ideal - (ZNE + Twirling)|", color="#2ca02c") -plt.xlabel(r"Noise strength, Coherent noise:$R_y(\frac{\pi}{2} \times \text{noise_strength})$") +plt.xlabel(r"noise_strength, Coherent noise: $R_y(\frac{\pi}{2} \times \text{noise_strength})$") plt.ylabel("Absolute Error") plt.title("Comparison of expectation values with ideal as a function of noise strength") plt.legend() From aeb9d8f89321842f7a07f4c8a9bf98295608b697 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Thu, 6 Feb 2025 18:41:07 -0600 Subject: [PATCH 23/25] remaining alessandro's comments --- docs/source/examples/pt_zne.md | 75 +++++++++++++++++++++++++--------- 1 file changed, 56 insertions(+), 19 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index c0df620a1..80d604463 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -39,9 +39,13 @@ Noise on quantum devices can be broadly categorized into two types: _coherent_ a If $\mathcal{F}$ is the average noisy gate fidelity {cite}`Nielsen_2002` defining the success of preparing an arbitrary pure state $\rho$, then $r(\mathcal{E}) := 1 - \mathcal{F}$ is called the **average gate infidelity**. ``` -**Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. +**Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. -For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel or approximately close to a Pauli noise channel. This conversion is determined by the depth of the circuit, coherent noise strength and the total number of Pauli twirled circuits used. As shown in Eqs.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_Paulis` below, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. +See the example in the [PTM and Average Gate Infideltiy](#ptm-and-average-gate-infideltiy) section for more information on how +the error-rate scales for coherent and incoherent noise. + +In scenarios where we want to reduce the effect of coherent noise, noise tailoring techniques like Pauli twirling are utilized +to transform it to incoherent noise. For example, a depolarizing noise channel is a stochastic noise channel where a noiseless process is probabilistically mixed with orthogonal errors. Pauli twirling strives to convert some noise channel into a Pauli noise channel or approximately close to a Pauli noise channel. This conversion is determined by the depth of the circuit, coherent noise strength and the total number of Pauli twirled circuits used. As shown in Eqs.{math:numref}`depolarizing_noise` and {math:numref}`depolarizing_noise_Paulis` below, a local depolarizing noise channel can be described using Paulis i.e. it can be said that Pauli twirling tailors a noise channel into a local depolarizing noise channel {cite}`Garc_a_Mart_n_2024`. If $\rho$ is a single qubit state, $p$ is the probabilistic error rate and $\mathcal{E}(\rho)$ is the noise channel: @@ -55,7 +59,8 @@ $$ \frac{I}{2} = \frac{1}{4} (\rho + X \rho X + Y \rho Y + Z \rho Z) $$ -Thus, the depolarizing channel can be redescribed using Paulis as shown below. +Thus, the depolarizing channel can be redescribed using Paulis as shown below i.e. Pauli twirling will tailor the +noise to local depolarizing noise. $$ \mathcal{E}(\rho) = (1-\frac{3p}{4}) \rho + \frac{p}{4} (X \rho X + Y \rho Y + Z \rho Z) @@ -64,7 +69,7 @@ $$(depolarizing_noise_Paulis) ### Pauli Transfer Matrix (PTM) -Let $\Lambda(\rho)$ be an $n$-qubit noise channel with corresponding $N$ Kraus operators $K_i$. +To visually demonstrate the differences between the two types of noise we introduce the Pauli Transfer Matrix (PTM). Let $\Lambda(\rho)$ be an $n$-qubit noise channel with corresponding $N$ Kraus operators $K_i$. $$ \Lambda(\rho) = \sum_{i=1}^{N} K_i \rho {K_i}^\dagger @@ -80,7 +85,9 @@ $$ (R_{\Lambda})_{ij} = \frac{1}{2^n} \text{Tr} \{ P_i \Lambda(P_j)\} $$(PTM_expression) -All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise since the off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. +All entries of the PTM are real and in the interval $[-1, 1]$. A PTM allows us to distinguish between the two types of noise since the off-diagonal terms of the PTM are due to the effect of coherent noise while the diagonal terms are due to incoherent noise. + +To find the PTM of an entire circuit, we only need to take the product of the PTM of each layer in the circuit. Due to this, it is straightforward to see how coherent noise carries across different layers in the circuit and how incoherent errors are easier to deal with in the small error limit. The latter is due to only focusing on the diagonal terms of the PTM for incoherent noise such that the product of two or more diagonal matrices is also a diagonal matrix. The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_Paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. @@ -88,6 +95,35 @@ It is worth noting that the number of Pauli twirled circuits required to transfo Generally, the higher the number of generated twirled circuits, the better the result. Similarly, better results are obtained more quickly when the coherent noise strength is low. +### PTM and Average Gate Infideltiy + +With the PTM introduced, it is straightforward to show that coherent noise scales quadratically while incoherent noise scales linearly. Eq. {math:numref}`PTM_y_rotation` shows the PTM of a noisy rotation about the Y-axis. + +$$ +R_{Y_{\theta}}=\begin{bmatrix} +1 & 0 & 0 & 0\\ +0 & \cos(\theta) & 0 & \sin(\theta)\\ +0 & -\sin(\theta) & 0 & \cos(\theta)\\ +0 & 0 & 0 & 1\\ +\end{bmatrix} +$$(PTM_y_rotation) + +The Taylor series expansions of $\cos(\theta)$ and $\sin(\theta)$ can be approximated as shown in Eq. {math:numref}`taylor_approx` in the small error limit. + +$$ +\cos(\theta) \approx 1 - {\theta}^2,\quad \sin(\theta) \approx \theta \\ +\text{i.e. } \cos(\theta) \propto {\theta}^2,\quad \sin(\theta) \propto \theta +$$(taylor_approx) + +Thus, the off-diagonal terms (coherent noise) of the PTM are quadratically worse $\sqrt{{\theta}^2}$ than the terms along the diagonal (incoherent noise) ${\theta}^2$ where ${\theta}^2$ denotes the average gate infidelity. + +As shown below in Eq. {math:numref}`r_e_values` these error-rate values can be connected to the notation introduced in an [earlier section](#coherent-noise-vs-incoherent-noise) differentiating the two types of noise. + +$$ +\text{Coherent noise: } \sqrt{r(\mathcal{E})} \approx \sqrt{{\theta}^2} \\ +\text{Incoherent noise: } r(\mathcal{E}) \approx {\theta}^2 +$$(r_e_values) + ## Using Pauli Twirling in Mitiq To demonstrate the differences in the two types of noise discussed in the previous section, we utilize ideal and noisy variations to a circuit comprising a CNOT gate and the functions available in the Pauli twirling module {mod}`.pt`. @@ -318,31 +354,35 @@ print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") ``` -```{caution} -It is worth noting that Pauli twirling's goal is to tailor the noise from coherent to incoherent. +It is worth noting that Pauli twirling's goal is to only tailor the noise from coherent to incoherent. + +Depending on the noise strength, type of coherent noise etc. this transformation might not give better results after the Pauli twirled circuit is executed. See the plot in the [next section](#combining-pauli-twirling-with-zne) for an example. -Depending on the noise strength, type of coherent noise etc. this transformation might not give better results after the Pauli twirled circuit is executed. See the plot in the next section for an example. -``` ## Combining Pauli Twirling with ZNE ```{code-cell} ipython3 from mitiq.zne import execute_with_zne +from typing import List executor=partial(execute, noise_level=NOISE_LEVEL) -zne_pt_vals = [] -for twirled_circuit in twirled_circuits: - zne_pt_vals.append(execute_with_zne(twirled_circuit, executor)) +def combine_zne_pt(list_circuits, executor) -> List[float]: + zne_pt_vals = [] + + for twirled_circuit in list_circuits: + zne_pt_vals.append(execute_with_zne(twirled_circuit, executor)) -mitigated_result = np.average(zne_pt_vals) + return(np.average(zne_pt_vals)) + +mitigated_result = combine_zne_pt(twirled_circuits, executor) print(f"Error without twirling: {abs(ideal_value - noisy_value) :.3}") print(f"Error with twirling: {abs(ideal_value - twirled_result) :.3}") print(f"Error with ZNE + PT: {abs(ideal_value - mitigated_result) :.3}") ``` -Accordingly, depending on the noise strength, a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique provides a significant advantage. +Again, depending on the noise strength, type of noise, etc. a combination of PT and ZNE do not work that well compared to just PT or ZNE. Thus, it is important to understand when combining a noisy tailoring technique with an error mitigation technique provides a significant advantage. ```{code-cell} ipython3 @@ -377,10 +417,7 @@ for strength in noise_strength: zne_vals.append(abs(ideal_value - execute_with_zne(circuit, executor))) # get expectation values after combining pauli twirling and ZNE then compare to ideal - zne_pt_vals = [] - for i in twirled_circuits: - zne_pt_vals.append(execute_with_zne(i, executor)) - mitigated_twirled_result = np.average(zne_pt_vals) + mitigated_twirled_result = combine_zne_pt(twirled_circuits, executor) error_with_twirling_and_zne.append(abs(ideal_value - mitigated_twirled_result)) @@ -389,7 +426,7 @@ plt.plot(noise_strength, zne_vals, "", label=r"|Ideal - ZNE|", color="#bcbd22") plt.plot(noise_strength, error_with_twirling,"", label=r"|Ideal - Twirling|", color="#ff7f0e") plt.plot(noise_strength, error_with_twirling_and_zne, "", label=r"|Ideal - (ZNE + Twirling)|", color="#2ca02c") -plt.xlabel(r"noise_strength, Coherent noise: $R_y(\frac{\pi}{2} \times \text{noise_strength})$") +plt.xlabel(r"noise_strength," "\n" r"Coherent noise: $R_y(\frac{\pi}{2} \times \text{noise_strength})$") plt.ylabel("Absolute Error") plt.title("Comparison of expectation values with ideal as a function of noise strength") plt.legend() From aef3369510312f4a7a8b577ad404f1afe02bcfc2 Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 7 Feb 2025 09:18:00 -0600 Subject: [PATCH 24/25] typos --- docs/source/examples/pt_zne.md | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 80d604463..7f75bf9fe 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -41,7 +41,7 @@ If $\mathcal{F}$ is the average noisy gate fidelity {cite}`Nielsen_2002` definin **Incoherent noise** is a process that results in the quantum system entangling with its environment i.e. this type of noise is irreversible. The system and the environment end up in a mixed state. This type of noise scales linearly in the small error limit. The noise channel can be described using Pauli operators which makes it easy to analyze and simulate. Worst case error rate is directly proportional to the **average gate infidelity**. -See the example in the [PTM and Average Gate Infideltiy](#ptm-and-average-gate-infideltiy) section for more information on how +See the example in the [PTM and Average Gate Infideltiy](#ptm-and-average-gate-infidelity) section for more information on how the error-rate scales for coherent and incoherent noise. In scenarios where we want to reduce the effect of coherent noise, noise tailoring techniques like Pauli twirling are utilized @@ -91,27 +91,27 @@ To find the PTM of an entire circuit, we only need to take the product of the PT The known fault tolerant thresholds for stochastic noise are higher than coherent noise which makes the former a 'preferable' type of noise compared to the latter. To avoid dealing with coherent noise, Pauli twirling can be used to tailor coherent noise to incoherent noise. Same as Eq {math:numref}`depolarizing_noise_Paulis`, when a coherent noise channel is Pauli twirled, the noise channel can be described using Paulis after averaging over multiple Pauli twirled circuits. Refer to the [Pauli Twirling user guide](../guide/pt.md) for additional information. -It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise depends on the circuit used, noise stength, etc. +It is worth noting that the number of Pauli twirled circuits required to transform coherent noise to incoherent noise depends on the circuit used, noise strength, etc. Generally, the higher the number of generated twirled circuits, the better the result. Similarly, better results are obtained more quickly when the coherent noise strength is low. -### PTM and Average Gate Infideltiy +### PTM and Average Gate Infidelity -With the PTM introduced, it is straightforward to show that coherent noise scales quadratically while incoherent noise scales linearly. Eq. {math:numref}`PTM_y_rotation` shows the PTM of a noisy rotation about the Y-axis. +With the PTM introduced, it is straightforward to show that coherent noise scales quadratically while incoherent noise scales linearly. Eq. {math:numref}`PTM_y_rotation` shows the PTM of a single-qubit noisy rotation about the Y-axis. $$ -R_{Y_{\theta}}=\begin{bmatrix} +R_{Y_{\theta}}=\begin{pmatrix} 1 & 0 & 0 & 0\\ 0 & \cos(\theta) & 0 & \sin(\theta)\\ 0 & -\sin(\theta) & 0 & \cos(\theta)\\ 0 & 0 & 0 & 1\\ -\end{bmatrix} +\end{pmatrix} $$(PTM_y_rotation) The Taylor series expansions of $\cos(\theta)$ and $\sin(\theta)$ can be approximated as shown in Eq. {math:numref}`taylor_approx` in the small error limit. $$ -\cos(\theta) \approx 1 - {\theta}^2,\quad \sin(\theta) \approx \theta \\ +\cos(\theta) \approx 1 - \frac{{\theta}^2}{2!},\quad \sin(\theta) \approx \theta \\ \text{i.e. } \cos(\theta) \propto {\theta}^2,\quad \sin(\theta) \propto \theta $$(taylor_approx) From c243b83913d0866c52e33dc5e7cffb4bb91e7d1b Mon Sep 17 00:00:00 2001 From: Purva Thakre Date: Fri, 7 Feb 2025 10:36:58 -0600 Subject: [PATCH 25/25] nate's comment --- docs/source/examples/pt_zne.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/source/examples/pt_zne.md b/docs/source/examples/pt_zne.md index 7f75bf9fe..71fdad50c 100644 --- a/docs/source/examples/pt_zne.md +++ b/docs/source/examples/pt_zne.md @@ -97,10 +97,10 @@ Generally, the higher the number of generated twirled circuits, the better the r ### PTM and Average Gate Infidelity -With the PTM introduced, it is straightforward to show that coherent noise scales quadratically while incoherent noise scales linearly. Eq. {math:numref}`PTM_y_rotation` shows the PTM of a single-qubit noisy rotation about the Y-axis. +With the PTM introduced, it is straightforward to show that coherent noise scales quadratically while incoherent noise scales linearly. Eq. {math:numref}`PTM_y_rotation` shows the PTM of a single-qubit noisy rotation about the Y-axis $R_{Y_{\theta}}$. $$ -R_{Y_{\theta}}=\begin{pmatrix} +R_{R_{Y_{\theta}}}=\begin{pmatrix} 1 & 0 & 0 & 0\\ 0 & \cos(\theta) & 0 & \sin(\theta)\\ 0 & -\sin(\theta) & 0 & \cos(\theta)\\