| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 1337476 | penguin133 | Struktura (COCI26_struktura) | C++20 | 1 ms | 344 KiB |
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pi pair<int, int>
#define pii pair<int, pi>
#define fi first
#define se second
#ifdef _WIN32
#define getchar_unlocked _getchar_nolock
#endif
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, k, f[1000005];
const int mod = 1e9 + 7;
int exp(int a, int b) {
int res = 1;
while (b) {
if (b & 1) res *= a, res %= mod;
a *= a, a %= mod;
b >>= 1 ;
}
return res;
}
vector <vector <int> > matmul(vector <vector <int>> a, vector <vector <int> > b) {
vector <vector <int> > c;
c.resize(a.size());
for (int i = 0; i < (int)a.size(); i++) c[i].resize(a[i].size());
for (int i = 0; i < (int)a.size(); i++) {
for (int j = 0; j < (int)a[i].size(); j++) {
for (int k = 0; k < (int)a[i].size(); k++) {
c[i][j] += a[i][k] * b[k][j];
c[i][j] %= mod;
}
}
}
return c;
}
vector <vector <int> > bs = {{1, 1}, {1, 0}};
vector <vector <int> > matexp(int x) {
if (x == 1) return bs;
vector <vector <int> > l = matexp(x / 2);
l = matmul(l, l);
if (x & 1) l = matmul(l, bs);
return l;
}
void solve(){
cin >> n >> k;
if (k < n) {
cout << "0\n";
return;
}
/*
f[1] = 1;
f[2] = 2;
for (int i = 3; i <= n; i++) f[i] = (f[i - 1] + f[i - 2]) % mod;
*/
vector <vector <int> > res = matexp(n);
cout << res[0][0] * exp(exp(k, n), mod - 2) % mod;
}
main(){
ios::sync_with_stdio(0);cin.tie(0);
int tc = 1;
//cin >> tc;
for(int tc1=1;tc1<=tc;tc1++){
// cout << "Case #" << tc1 << ": ";
solve();
}
}
Compilation message (stderr)
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