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59
LibreOJ/6097/6097.cpp
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59
LibreOJ/6097/6097.cpp
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#include <iostream>
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#include <algorithm>
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#include <bitset>
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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 N = 65;
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const int mod = 1e7 + 7;
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long long n, f[N][N][2], ans = 1;
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std::bitset<65> b;
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long long binpow(long long a, long long b) {
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a %= mod;
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long long res = 1;
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while (b) {
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if (b & 1)
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res = res * a % mod;
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a = a * a % mod;
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b >>= 1;
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}
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return res;
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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 >> n;
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for (int i = 0; i < 64; i++) {
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b.set(64 - i, (n >> i) & 1);
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}
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f[0][0][1] = 1;
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for (int i = 0; i < 64; i++) {
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for (int j = 0; j <= i; j++) {
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f[i + 1][j][0] += f[i][j][0];
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f[i + 1][j + 1][0] += f[i][j][0];
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f[i + 1][j][(b[i + 1] == 0)] += f[i][j][1];
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if (b[i + 1] == 1)
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f[i + 1][j + 1][1] += f[i][j][1];
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}
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}
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for (int i = 1; i <= 64; i++) {
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ans = ans * binpow(i, f[64][i][0] + f[64][i][1]) % mod;
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}
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cout << ans << endl;
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return 0;
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}
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