QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#656956#5661. Multi-Laddersucup-team5234#AC ✓1ms3600kbC++231.2kb2024-10-19 13:56:122024-10-19 13:56:14

Judging History

你现在查看的是最新测评结果

  • [2024-10-19 13:56:14]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3600kb
  • [2024-10-19 13:56:12]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;
using ll = long long;
ll MOD = 1000000007;
using vll = vector<vector<ll>>;
#define rep(i,n) for(int i=0;i<n;i++)

vll mul(vll a, vll b) {
    ll x = a.size();
    ll y = b.size();
    ll z = b[0].size();
    vll ret(x, vector(z, 0LL));
    for(int i = 0; i < x; i ++) {
        for(int j = 0; j < z; j ++) {
            for(int k = 0; k < y; k ++) {
                ret[i][j] += a[i][k] * b[k][j] % MOD;
                if(ret[i][j] >= MOD) ret[i][j] -= MOD;
            }
        }
    }
    return ret;
}
vll pow(vll a, ll n) {
    vll ret(a.size(), vector(a.size(), 0LL));
    rep(i, a.size())ret[i][i] = 1;
    while(n) {
        if(n & 1) {
            ret = mul(ret, a);
        }
        a = mul(a, a);
        n /= 2;
    }
    return ret;
}

int main(){
    ll t;
    cin >> t;
    rep(_, t){
        ll n,k,l;
        cin >> n >> k >> l;
        ll A = (l-1) + (l-2)*(l-2);
        A %= MOD;
        vll a(1, vector<ll>(1, A));
        auto b = pow(a, (n-1)*k);
        vll c = {{0,1},{l-1, l-2}};
        auto d = pow(c, k);
        vll e = {{l}, {0}};
        auto f = mul(d, e);
        ll ans = b[0][0] * f[0][0];
        cout << ans%MOD << endl;
    }

}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3544kb

input:

1
2 3 3

output:

162

result:

ok single line: '162'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3600kb

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