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Solution.cpp
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class Solution {
public:
bool nimGame(vector<int>& piles) {
unordered_map<int, int> memo;
int p[8] = {1};
for (int i = 1; i < 8; ++i) {
p[i] = p[i - 1] * 8;
}
auto f = [&](vector<int>& piles) {
int st = 0;
for (int i = 0; i < piles.size(); ++i) {
st += piles[i] * p[i];
}
return st;
};
function<bool(vector<int>&)> dfs = [&](vector<int>& piles) {
int st = f(piles);
if (memo.count(st)) {
return memo[st];
}
for (int i = 0; i < piles.size(); ++i) {
for (int j = 1; j <= piles[i]; ++j) {
piles[i] -= j;
if (!dfs(piles)) {
piles[i] += j;
return memo[st] = true;
}
piles[i] += j;
}
}
return memo[st] = false;
};
return dfs(piles);
}
};