QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#524175 | #5661. Multi-Ladders | ucup-team3699# | AC ✓ | 0ms | 3580kb | C++20 | 1.5kb | 2024-08-19 11:35:22 | 2024-08-19 11:35:24 |
Judging History
answer
#include<iostream>
using namespace std;
#define int long long
const int mod = 1e9 + 7;
int mat[2][2];
int a[2];
int fpow(int x, int p){
int ret = 1;
while(p){
if(p & 1)
ret = ret * x % mod;
x = x * x % mod;
p >>= 1;
}
return ret;
}
void mul(){
int ret[2][2] = {0, 0, 0, 0};
for (int i = 0; i < 2; i++){
for (int j = 0; j < 2; j++){
for (int k = 0; k < 2; k++)
ret[i][j] += mat[i][k] * mat[k][j] % mod, ret[i][j] %= mod;
}
}
for (int i = 0; i < 2; i++)
for (int j = 0; j < 2; j++)
mat[i][j] = ret[i][j];
}
void mul2(){
int ret[2] = {0, 0};
ret[0] = mat[0][0] * a[0] + mat[0][1] * a[1], ret[0] %= mod;
ret[1] = mat[1][0] * a[0] + mat[1][1] * a[1], ret[1] %= mod;
a[0] = ret[0], a[1] = ret[1];
}
void solve(){
int n, k, c;
cin >> n >> k >> c;
mat[0][0] = c - 2, mat[0][1] = c - 1, mat[1][0] = 1, mat[1][1] = 0;
a[0] = c * (c - 1) % mod * (c - 2) % mod, a[1] = c * (c - 1) % mod;
int tmp = k - 3;
while(tmp){
if(tmp & 1){
mul2();
}
mul();
tmp >>= 1;
}
int ans = a[0];
int b = c - 1 + (c - 2) * (c - 2);
b %= mod;
ans = ans * fpow(b, k * (n - 1)) % mod;
cout << ans << "\n";
}
signed main(){
ios_base::sync_with_stdio(0), cin.tie(0);
int t = 1;
cin >> t;
while(t--)
solve();
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3560kb
input:
1 2 3 3
output:
162
result:
ok single line: '162'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
20 2 3 3 1 3 3 10 3 0 10 3 2 1 21 2 1 22 0 2000 15000 2000 12000 30000 200000 1000000000 3 3 2 1000000000 3 2 3 100000000 1000000000 1000000000 10 1000000000 3 100000000 2 1000000000 100000000 1 1000000000 10 1 1000000000 100000000 1 1000 100000000 1000000000 1000000000 0 1000000000 1000000000 1 100...
output:
162 6 0 0 0 0 349400141 243010659 52489881 53690844 176686901 218103365 558243892 991895211 693053429 883715672 80402569 0 0 311752813
result:
ok 20 lines