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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
#749352#3265. 组合数问题propane100 ✓35ms3744kbC++201.3kb2024-11-14 23:46:592024-11-14 23:47:00

Judging History

你现在查看的是最新测评结果

  • [2024-11-14 23:47:00]
  • 评测
  • 测评结果:100
  • 用时:35ms
  • 内存:3744kb
  • [2024-11-14 23:46:59]
  • 提交

answer

#include<iostream>
#include<cstring>
#include<vector>
using namespace std;
using LL = long long;
int n, p, k, r;

const int N = 50;
struct Matrix{
    int a[N][N];

    Matrix(){
        memset(a, 0, sizeof a);
        for(int i = 0; i < N; i++){
            a[i][i] = 1;
        }
    }

    Matrix operator*(const Matrix &t) const {
        Matrix ans;
        memset(ans.a, 0, sizeof ans.a);
        for(int i = 0; i < N; i++){
            for(int j = 0; j < N; j++){
                for(int k = 0; k < N; k++){
                    ans.a[i][j] = (ans.a[i][j] + 1LL * a[i][k] * t.a[k][j]) % p;
                }
            }
        }
        return ans;
    }

};

Matrix qpow(Matrix a, LL b){
    Matrix ans = Matrix();
    while(b){
        if (b & 1) ans = ans * a;
        b >>= 1;
        a = a * a;
    }
    return ans;
}

int main(){

#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
#endif

    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(0);

    cin >> n >> p >> k >> r;
    Matrix a;
    memset(a.a, 0, sizeof a.a);
    for(int i = 0; i < k; i++){
        a.a[i][i] += 1;
        a.a[i][(i + 1) % k] += 1;
    }
    auto ans = qpow(a, 1LL * n * k);
    cout << ans.a[0][r] << '\n';

}

详细


Pretests


Final Tests

Test #1:

score: 5
Accepted
time: 9ms
memory: 3736kb

input:

14 861021533 17 8

output:

109194683

result:

ok single line: '109194683'

Test #2:

score: 5
Accepted
time: 6ms
memory: 3612kb

input:

14 734575201 8 4

output:

136629647

result:

ok single line: '136629647'

Test #3:

score: 5
Accepted
time: 1ms
memory: 3680kb

input:

6 572660339 1 0

output:

64

result:

ok single line: '64'

Test #4:

score: 5
Accepted
time: 8ms
memory: 3616kb

input:

17 141616127 10 5

output:

87241654

result:

ok single line: '87241654'

Test #5:

score: 5
Accepted
time: 7ms
memory: 3616kb

input:

13 889947181 16 12

output:

100910764

result:

ok single line: '100910764'

Test #6:

score: 5
Accepted
time: 6ms
memory: 3700kb

input:

25 752392757 4 3

output:

424857239

result:

ok single line: '424857239'

Test #7:

score: 5
Accepted
time: 34ms
memory: 3696kb

input:

553999928 2 45 26

output:

0

result:

ok single line: '0'

Test #8:

score: 5
Accepted
time: 27ms
memory: 3688kb

input:

843993365 943947738 1 0

output:

470996456

result:

ok single line: '470996456'

Test #9:

score: 5
Accepted
time: 30ms
memory: 3616kb

input:

855636225 749698583 2 0

output:

545006096

result:

ok single line: '545006096'

Test #10:

score: 5
Accepted
time: 27ms
memory: 3744kb

input:

969348092 956297536 2 1

output:

679600512

result:

ok single line: '679600512'

Test #11:

score: 5
Accepted
time: 13ms
memory: 3676kb

input:

650 660260759 45 16

output:

173373801

result:

ok single line: '173373801'

Test #12:

score: 5
Accepted
time: 16ms
memory: 3680kb

input:

598 221558443 41 40

output:

199993457

result:

ok single line: '199993457'

Test #13:

score: 5
Accepted
time: 15ms
memory: 3700kb

input:

863 269455309 42 29

output:

172561433

result:

ok single line: '172561433'

Test #14:

score: 5
Accepted
time: 19ms
memory: 3672kb

input:

28627 269441503 34 24

output:

180377871

result:

ok single line: '180377871'

Test #15:

score: 5
Accepted
time: 17ms
memory: 3744kb

input:

36656 67854541 25 6

output:

2429047

result:

ok single line: '2429047'

Test #16:

score: 5
Accepted
time: 13ms
memory: 3612kb

input:

27459 172755593 27 20

output:

73460042

result:

ok single line: '73460042'

Test #17:

score: 5
Accepted
time: 33ms
memory: 3744kb

input:

743268139 705178739 33 19

output:

311756018

result:

ok single line: '311756018'

Test #18:

score: 5
Accepted
time: 35ms
memory: 3672kb

input:

934248626 620145553 43 16

output:

121876656

result:

ok single line: '121876656'

Test #19:

score: 5
Accepted
time: 34ms
memory: 3688kb

input:

619290070 907487131 38 19

output:

213941765

result:

ok single line: '213941765'

Test #20:

score: 5
Accepted
time: 28ms
memory: 3620kb

input:

507684930 711845893 28 24

output:

419183631

result:

ok single line: '419183631'

Extra Test:

score: 0
Extra Test Passed