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57 lines (56 loc) · 1.61 KB
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// simplehash+dfs+9ms.cpp
class Solution {
public:
vector<vector<string>> solveNQueens(int n) {
vector<string> r(n, string(n, '.'));
vector<vector<string>> res;
unordered_set<int> ver, lTilt, rTilt;
function<void(int)> dfs = [&](int i) {
if (i == n) {
res.push_back(r);
return;
}
for (int j = 0; j < n; ++j)
if (!ver.contains(j) && !lTilt.contains(i - j) &&
!rTilt.contains(i + j)) {
ver.insert(j), lTilt.insert(i - j), rTilt.insert(i + j);
r[i][j] = 'Q';
dfs(i + 1);
r[i][j] = '.';
ver.erase(j), lTilt.erase(i - j), rTilt.erase(i + j);
}
};
dfs(0);
return res;
}
};
// smarthash+dfs+3ms.cpp
class Solution2 {
vector<int> flag;
vector<vector<string>> res;
vector<string> r;
int n;
void dfs(int i) {
if (i == n) {
res.push_back(r);
return;
}
for (int j = 0; j < n; ++j)
if (flag[j] && flag[n + i + j] && flag[4 * n + i - j]) {
flag[j] = flag[n + i + j] = flag[4 * n + i - j] = 0;
r[i][j] = 'Q';
dfs(i + 1);
r[i][j] = '.';
flag[j] = flag[n + i + j] = flag[4 * n + i - j] = 1;
}
}
public:
vector<vector<string>> solveNQueens(int n) {
string str(n, '.');
this->n = n;
r.assign(n, str);
flag.assign(5 * n, 1);
dfs(0);
return res;
}
};