#include "bits/stdc++.h"
using namespace std;
using ll = long long;
const ll mod = 1e9 + 7;
ll binpow(ll a, ll b, ll mod, bool dec = false) {
ll ans = 1;
while (b) {
if (b & 1) {
ans = ans * a % mod;
}
a = a * a % mod;
b >>= 1;
}
if (dec) {
ans = (ans - 1 + mod) % mod;
}
return ans;
}
bool isTwo(ll n) {
return (1ll << (63 - __builtin_clzll(n))) == n;
}
ll n, ans;
void calc(ll x, ll mul) {
vector<tuple<ll, ll, bool>> g = {{x, 1, true}};
ll others = n, sum_all = 0;
for (int h = 0; h <= n; h++) {
vector<tuple<ll, ll, bool>> nw;
ll sum = 0;
for (auto [v, t, change]: g) {
sum += t;
if (!change) {
if (v * 2 <= n) {
nw.emplace_back(v * 2, t * 2, change);
}
continue;
}
if (x == v) {
if (v * 2 <= n) {
nw.emplace_back(v * 2, t * 2, false);
}
if (v > 1) {
nw.emplace_back(v / 2, 1, true);
}
continue;
}
if (isTwo(x / v) and x % v == 0) {
if (v * 2 + 1 <= n) {
nw.emplace_back(v * 2 + 1, 1, false);
}
if (v > 1) {
nw.emplace_back(v / 2, 1, true);
}
continue;
}
}
// cout << x << ' ' << h << '\t';
// for (auto [v, t, change]: g) {
// cout << v << " -> " << t << " ";
// }
// cout << endl;
others -= sum;
ll k = binpow(2, sum, mod, true) * binpow(2, others, mod) % mod;
sum_all = (sum_all + k * h) % mod;
if (nw.empty()) {
break;
}
g = nw;
}
mul %= mod;
ans = (ans + sum_all * mul) % mod;
}
int main() {
int q;
cin >> q;
for (int qq = 1; qq <= q; qq++) {
cin >> n;
ans = 0;
for (ll x = 1; x < n; x *= 2) {
calc(x, x);
}
#ifdef sunnitov
cout << ans << ' ';
#endif
cout << ans * binpow(binpow(2, n, mod, true), mod - 2, mod) % mod << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3072 ms |
212 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
151 ms |
212 KB |
Output is correct |
2 |
Correct |
152 ms |
212 KB |
Output is correct |
3 |
Correct |
135 ms |
296 KB |
Output is correct |
4 |
Correct |
120 ms |
212 KB |
Output is correct |
5 |
Correct |
148 ms |
212 KB |
Output is correct |
6 |
Correct |
141 ms |
312 KB |
Output is correct |
7 |
Correct |
126 ms |
212 KB |
Output is correct |
8 |
Correct |
133 ms |
212 KB |
Output is correct |
9 |
Correct |
128 ms |
212 KB |
Output is correct |
10 |
Correct |
137 ms |
212 KB |
Output is correct |
11 |
Execution timed out |
3074 ms |
340 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3063 ms |
212 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3072 ms |
212 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |