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S2OJ/1614/1614.cpp
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50
S2OJ/1614/1614.cpp
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#include <iostream>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int K = 17;
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int k, a[1 << K], b[1 << K], c[1 << K], f[K + 1][1 << K];
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void dfs(int s, int d, int x) {
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int t = ((1 << k) - 1) ^ s;
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for (int i = t;; i = (i - 1) & t) {
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if (d) f[d][i] = std::max(f[d - 1][i], f[d - 1][i | (1 << x)]);
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c[s | i] = std::max(c[s | i], f[d][i] + a[s]);
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if (!i) break;
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}
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for (int i = x + 1; i < k; i++) {
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dfs(s | (1 << i), d + 1, i);
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> k;
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for (int i = 0; i < 1 << k; i++) {
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cin >> a[i];
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}
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for (int i = 0; i < 1 << k; i++) {
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cin >> b[i];
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f[0][i] = b[i];
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}
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dfs(0, 0, -1);
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for (int i = 0; i < 1 << k; i++) {
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cout << c[i] << ' ';
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}
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cout << endl;
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return 0;
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}
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