add another algorithm c from copilot

_code/algorithm_c.py

@@ -13,10 +13,25 @@ def __init__(self, x: int, m: int):
         self.m = m
         self._s = None
 
+    def __eq__(self, value):
+        if not isinstance(value, Alpha):
+            return False
+        return self.to_int() == value.to_int()
+
     @staticmethod
     def from_str(s, m):
         return Alpha(int(s, m), m)
 
+    @staticmethod
+    def from_hex(hex_str, m):
+        hex_int = int(hex_str, 16)
+        x, p = 0, 1
+        while hex_int > 0:
+            x += p * (hex_int % 16)
+            hex_int = hex_int // 16
+            p *= m
+        return Alpha(x, m)
+
     def to_str(self):
         '''convert to m bit string'''
         if self._s is None:
@@ -165,8 +180,8 @@ def __init__(self, m, g):
         self.poison_pointer = self.poison_value - 1
         self.free = [0] * self.code_length
         self.ifree = [0] * self.code_length
-        self.level = 0
-        self.x = 0 # x is trial word
+        self.level = 1
+        self.x = Alpha.from_hex('0001', m)
         self.trial_class = 0
         self.solution = []
         self.initialize()
@@ -235,71 +250,15 @@ def suffix2(self, alpha):
     def suffix3(self, alpha):
         return (alpha & 0x0FFF) << 4
 
-    def search(self):
-        self.level = 1
-        while True:
-            if self.level > self.code_length:
-                self.visit_solution()
-                self.backtrack()
-            else:
-                self.enter_level()
-                if self.trial_word < 0:
-                    self.try_again()
-                else:
-                    self.make_move()
-
     def enter_level(self):
         if self.level > self.code_length:
             self.visit_solution()
-        else:
-            self.level += 1
-            self.try_candidate()
-            self.level -= 1
-        self.backtrack()
-
-    def try_candidate(self):
-        self.trial_word = self.free_list[self.free_index]
-        self.trial_class = self.index_free_list[self.free_index]
-        self.free_index -= 1
-        self.slack = self.current_state[self.level]
-        self.undo_pointer = self.undo_stack_pointer[self.level]
-        self.bump_stamp()
-        self.make_red(self.trial_word)
-
-    def try_again(self):
-        if self.slack == 0 or self.level == 1:
-            self.backtrack()
-        else:
-            self.slack -= 1
-
-    def make_move(self):
-        self.make_green(self.trial_word)
-        self.solution_vector[self.level] = self.trial_word
-        self.current_index[self.level] = self.trial_class
-        self.current_state[self.level] = self.slack
-        p = self.index_free_list[self.trial_class]
-        self.free_index -= 1
-        if p != self.free_index:
-            y = self.free_list[self.free_index]
-            self.free_list[p] = y
-            self.index_free_list[y] = p
-            self.free_list[self.free_index] = self.trial_class
-            self.index_free_list[self.trial_class] = self.free_index
-        self.level += 1
-
-    def backtrack(self):
-        self.level -= 1
-        if self.level == 0:
-            return
-        self.trial_word = self.solution_vector[self.level]
-        self.trial_class = self.current_index[self.level]
-        self.free_index += 1
-        if self.trial_word < 0:
             return
-        self.slack = self.current_state[self.level]
-        self.undo_to(self.undo_stack_pointer[self.level])
-        self.bump_stamp()
-        self.make_red(self.trial_word)
+        for cur_candidate in self.try_candidate():
+            self.make_move()
+            self.enter_level()
+            self.backtrack()
+
 
     def visit_solution(self):
         # Process the solution found
@@ -335,4 +294,4 @@ def bump_stamp(self):
     # Example usage
     code = CommaFreeCode(m=4, g=57)
     code.initialize()
-    # code.search()
+    code.enter_level()

_code/algorithm_c2.py

@@ -0,0 +1,75 @@
+class CommaFreeCodeFinder:
+    def __init__(self, m):
+        self.m = m
+        self.m4 = m ** 4
+        self.m2 = m ** 2
+        self.L = (self.m4 - self.m2) // 4
+        self.MEM = [0] * (int(23.5 * self.m4))
+        self.UNDO = []
+        self.POISON = 22 * self.m4
+        self.PP = self.POISON - 1
+        self.FREE = list(range(self.L))
+        self.IFREE = list(range(self.L))
+        self.X = [0] * (self.L + 1)
+        self.C = [0] * (self.L + 1)
+        self.S = [0] * (self.L + 1)
+        self.U = [0] * (self.L + 1)
+        self.level = 1
+        self.x = 0x0001
+        self.c = 0
+        self.s = self.L - self.goal
+        self.f = self.L
+        self.u = 0
+        self.sigma = 0
+
+    def store(self, a, v):
+        if self.MEM[a] != v:
+            self.UNDO.append((a, self.MEM[a]))
+            self.MEM[a] = v
+
+    def unstore(self, u0):
+        while len(self.UNDO) > u0:
+            a, v = self.UNDO.pop()
+            self.MEM[a] = v
+
+    def enter_level(self):
+        if self.level > self.L:
+            self.visit_solution()
+            return
+        for cur_candidate in self.try_candidate():
+            self.make_move(cur_candidate)
+            self.enter_level()
+            self.backtrack()
+
+    def visit_solution(self):
+        # Implement the logic to handle a valid solution
+        print(f"Solution found: {self.X[1:self.level]}")
+
+    def try_candidate(self):
+        # Generate candidate words based on the current state
+        candidates = []
+        for i in range(self.m4):
+            if self.MEM[i] == 1:  # Assuming 1 represents a blue word
+                candidates.append(i)
+        return candidates
+
+    def make_move(self, candidate):
+        # Update the state to reflect the selection of a candidate word
+        self.store(self.level, candidate)
+        self.MEM[candidate] = 2  # Assuming 2 represents a green word
+        self.X[self.level] = candidate
+        self.level += 1
+
+    def backtrack(self):
+        # Implement the logic to backtrack
+        self.level -= 1
+        candidate = self.X[self.level]
+        self.MEM[candidate] = 1  # Revert the candidate to blue
+        self.unstore(self.U[self.level])
+
+    def run(self):
+        self.enter_level()
+
+# Example usage
+finder = CommaFreeCodeFinder(m=3)
+finder.run()