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#6097. 花神的数论题

https://loj.ac/s/1573929
This commit is contained in:
Baoshuo Ren 2022-09-05 16:36:05 +08:00
parent 1f959f4f49
commit b805b80150
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
21 changed files with 119 additions and 0 deletions

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#include <iostream>
#include <algorithm>
#include <bitset>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 65;
const int mod = 1e7 + 7;
long long n, f[N][N][2], ans = 1;
std::bitset<65> b;
long long binpow(long long a, long long b) {
a %= mod;
long long res = 1;
while (b) {
if (b & 1)
res = res * a % mod;
a = a * a % mod;
b >>= 1;
}
return res;
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 0; i < 64; i++) {
b.set(64 - i, (n >> i) & 1);
}
f[0][0][1] = 1;
for (int i = 0; i < 64; i++) {
for (int j = 0; j <= i; j++) {
f[i + 1][j][0] += f[i][j][0];
f[i + 1][j + 1][0] += f[i][j][0];
f[i + 1][j][(b[i + 1] == 0)] += f[i][j][1];
if (b[i + 1] == 1)
f[i + 1][j + 1][1] += f[i][j][1];
}
}
for (int i = 1; i <= 64; i++) {
ans = ans * binpow(i, f[64][i][0] + f[64][i][1]) % mod;
}
cout << ans << endl;
return 0;
}

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