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python/TangDou/AcWing_TiGao/T5/YueShuGeShu/1294_2.cpp

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2025-08-30 18:35:01 +08:00
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
const int MOD = 1e9 + 7;
// 2112 ms
bool prime(int x) {
if (x == 2) return 1;
for (int i = 2; i * i <= x; i++)
if (x % i == 0) return 0;
return 1;
}
signed main() {
int n;
cin >> n;
int res = 1;
for (int i = 2; i <= n; i++) {
if (!prime(i)) continue;
int x = i;
int s = 0;
while (x <= n) s += n / x, x *= i;
res = res * (2 * s + 1) % MOD;
}
cout << res << endl;
}