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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
#291185#3265. 组合数问题MoRanSky100 ✓14ms3944kbC++23809b2023-12-26 05:17:022023-12-26 05:17:03

Judging History

你现在查看的是最新测评结果

  • [2023-12-26 05:17:03]
  • 评测
  • 测评结果:100
  • 用时:14ms
  • 内存:3944kb
  • [2023-12-26 05:17:02]
  • 提交

answer

// Skyqwq
#include <iostream>
#include <cstdio>

using namespace std;

typedef long long LL;

const int S = 50;

int n, P, k, r;

struct Mat{
	int n, m, w[S][S];
	Mat inline operator * (const Mat &b) const {
		Mat c; c.n = n, c.m = b.m;
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < b.m; j++) {
				c.w[i][j] = 0;
				for (int k = 0; k < m; k++) {
					c.w[i][j] = (c.w[i][j] + (LL)w[i][k] * b.w[k][j]) % P;
				}
			}
		}
		return c;
	}
} res, A;

int main() {
	scanf("%d%d%d%d", &n, &P, &k, &r);
	res.n = 1, res.m = A.n = A.m = k;
	res.w[0][0] = 1;
	for (int i = 0; i < k; i++) {
		A.w[i][i] ++;
		A.w[i][(i + 1) % k] ++;
	}
	LL b = (LL)n * k;
	while (b) {
		if (b & 1) res = res * A;
		A = A * A;
		b >>= 1;
	}
	printf("%d\n", res.w[0][r]);
	return 0;
}

详细

Test #1:

score: 5
Accepted
time: 1ms
memory: 3900kb

input:

14 861021533 17 8

output:

109194683

result:

ok single line: '109194683'

Test #2:

score: 5
Accepted
time: 0ms
memory: 3812kb

input:

14 734575201 8 4

output:

136629647

result:

ok single line: '136629647'

Test #3:

score: 5
Accepted
time: 0ms
memory: 3880kb

input:

6 572660339 1 0

output:

64

result:

ok single line: '64'

Test #4:

score: 5
Accepted
time: 0ms
memory: 3840kb

input:

17 141616127 10 5

output:

87241654

result:

ok single line: '87241654'

Test #5:

score: 5
Accepted
time: 0ms
memory: 3944kb

input:

13 889947181 16 12

output:

100910764

result:

ok single line: '100910764'

Test #6:

score: 5
Accepted
time: 0ms
memory: 3840kb

input:

25 752392757 4 3

output:

424857239

result:

ok single line: '424857239'

Test #7:

score: 5
Accepted
time: 13ms
memory: 3764kb

input:

553999928 2 45 26

output:

0

result:

ok single line: '0'

Test #8:

score: 5
Accepted
time: 0ms
memory: 3844kb

input:

843993365 943947738 1 0

output:

470996456

result:

ok single line: '470996456'

Test #9:

score: 5
Accepted
time: 0ms
memory: 3880kb

input:

855636225 749698583 2 0

output:

545006096

result:

ok single line: '545006096'

Test #10:

score: 5
Accepted
time: 0ms
memory: 3880kb

input:

969348092 956297536 2 1

output:

679600512

result:

ok single line: '679600512'

Test #11:

score: 5
Accepted
time: 7ms
memory: 3764kb

input:

650 660260759 45 16

output:

173373801

result:

ok single line: '173373801'

Test #12:

score: 5
Accepted
time: 5ms
memory: 3912kb

input:

598 221558443 41 40

output:

199993457

result:

ok single line: '199993457'

Test #13:

score: 5
Accepted
time: 6ms
memory: 3800kb

input:

863 269455309 42 29

output:

172561433

result:

ok single line: '172561433'

Test #14:

score: 5
Accepted
time: 4ms
memory: 3944kb

input:

28627 269441503 34 24

output:

180377871

result:

ok single line: '180377871'

Test #15:

score: 5
Accepted
time: 2ms
memory: 3808kb

input:

36656 67854541 25 6

output:

2429047

result:

ok single line: '2429047'

Test #16:

score: 5
Accepted
time: 2ms
memory: 3940kb

input:

27459 172755593 27 20

output:

73460042

result:

ok single line: '73460042'

Test #17:

score: 5
Accepted
time: 6ms
memory: 3944kb

input:

743268139 705178739 33 19

output:

311756018

result:

ok single line: '311756018'

Test #18:

score: 5
Accepted
time: 14ms
memory: 3840kb

input:

934248626 620145553 43 16

output:

121876656

result:

ok single line: '121876656'

Test #19:

score: 5
Accepted
time: 6ms
memory: 3760kb

input:

619290070 907487131 38 19

output:

213941765

result:

ok single line: '213941765'

Test #20:

score: 5
Accepted
time: 3ms
memory: 3880kb

input:

507684930 711845893 28 24

output:

419183631

result:

ok single line: '419183631'

Extra Test:

score: 0
Extra Test Passed