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Feb 24, 2025
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73 changes: 73 additions & 0 deletions 2467. Most Profitable Path in a Tree
Original file line number Diff line number Diff line change
@@ -0,0 +1,73 @@
class Solution {
int midNode = -1;

public:
void findParent(int node, int par, vector<int> adj[], unordered_map<int, int> &mp) {
mp[node] = par;
for (auto i : adj[node]) {
if (i != par) {
findParent(i, node, adj, mp);
}
}
}

void dfs(int node, int par, int sum, vector<int> adj[], vector<int> &amount, vector<int> &dist, vector<int> &leaf, vector<bool> &zeroNodes) {
bool isLeaf = true;
dist[node] = sum;
for (auto i : adj[node]) {
if (i != par) {
isLeaf = false;
if (i == midNode) {
dfs(i, node, sum + (amount[i] / 2), adj, amount, dist, leaf, zeroNodes);
} else if (zeroNodes[i]) {
dfs(i, node, sum, adj, amount, dist, leaf, zeroNodes);
} else {
dfs(i, node, sum + amount[i], adj, amount, dist, leaf, zeroNodes);
}
}
}
leaf[node] = isLeaf;
}

int mostProfitablePath(vector<vector<int>> &edges, int bob, vector<int> &amount) {
int n = edges.size() + 1;
vector<int> adj[n];
for (auto e : edges) {
adj[e[0]].push_back(e[1]);
adj[e[1]].push_back(e[0]);
}

unordered_map<int, int> parent;
findParent(0, -1, adj, parent);

vector<int> bobNodes;

do {
bobNodes.push_back(bob);
bob = parent[bob];
} while (bob != -1);

if (bobNodes.size() % 2 == 1) {
midNode = bobNodes[bobNodes.size() / 2];
}

vector<bool> zeroNodes(n, 0);
for (int i = 0; i < bobNodes.size(); i++) {
if (i < bobNodes.size() / 2) {
zeroNodes[bobNodes[i]] = 1;
}
}

vector<int> dist(n, INT_MIN), leaf(n);
dfs(0, -1, amount[0], adj, amount, dist, leaf, zeroNodes);

int ans = INT_MIN;
for (int i = 0; i < n; i++) {
if (leaf[i]) {
ans = max(ans, dist[i]);
}
}

return ans;
}
};
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