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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#36039#2573. Two Permutationsconqueror_of_zky#AC ✓81ms57400kbC++950b2022-06-23 14:52:372022-06-23 14:52:39

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-06-23 14:52:39]
  • 评测
  • 测评结果:AC
  • 用时:81ms
  • 内存:57400kb
  • [2022-06-23 14:52:37]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
constexpr int N = 105, K = 10005, mod = 1e9 + 7;
int n, k, f[N][N][K];
inline int mul(int a, int b) {return 1ll * a * b % mod;}
inline int add(int a, int b) {return (a += b) >= mod ? a - mod : a;}
inline void upd(int &a, int b) {a = add(a, b);}
int main() {
	//freopen("in.txt", "r", stdin);
	cin >> n >> k;
	k -= n * (n + 1) / 2;
	if(k < 0) {
		cout << 0 << '\n';
		return 0;
	}
	f[n][0][0] = 1;
	for(int i = n; i >= 1; i --) {
		for(int j = 0; j <= n - i; j ++) {
			for(int l = 0; l < n * n; l ++) if(f[i][j][l]) {
				upd(f[i - 1][j][l], mul(j + 1, f[i][j][l]));
				if(l + i < n * n) upd(f[i - 1][j + 1][l + i], mul(j + 1, f[i][j][l]));
				if(j && l >= i) upd(f[i - 1][j - 1][l - i], mul(f[i][j][l], j));
				upd(f[i - 1][j][l], mul(j, f[i][j][l]));
			}
		}
	}
	int ans = f[0][0][k];
	for(int i = 1; i <= n; i ++) ans = mul(ans, i);
	cout << ans << '\n';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 7768kb

input:

2 4

output:

2

result:

ok 1 number(s): "2"

Test #2:

score: 0
Accepted
time: 3ms
memory: 9716kb

input:

3 7

output:

12

result:

ok 1 number(s): "12"

Test #3:

score: 0
Accepted
time: 2ms
memory: 11836kb

input:

4 10

output:

24

result:

ok 1 number(s): "24"

Test #4:

score: 0
Accepted
time: 4ms
memory: 11780kb

input:

4 14

output:

96

result:

ok 1 number(s): "96"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3552kb

input:

5 10

output:

0

result:

ok 1 number(s): "0"

Test #6:

score: 0
Accepted
time: 0ms
memory: 11888kb

input:

5 15

output:

120

result:

ok 1 number(s): "120"

Test #7:

score: 0
Accepted
time: 2ms
memory: 11792kb

input:

5 21

output:

2400

result:

ok 1 number(s): "2400"

Test #8:

score: 0
Accepted
time: 4ms
memory: 11828kb

input:

6 21

output:

720

result:

ok 1 number(s): "720"

Test #9:

score: 0
Accepted
time: 1ms
memory: 11744kb

input:

6 30

output:

25920

result:

ok 1 number(s): "25920"

Test #10:

score: 0
Accepted
time: 4ms
memory: 11924kb

input:

6 27

output:

106560

result:

ok 1 number(s): "106560"

Test #11:

score: 0
Accepted
time: 2ms
memory: 12600kb

input:

20 300

output:

644873710

result:

ok 1 number(s): "644873710"

Test #12:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

20 139

output:

0

result:

ok 1 number(s): "0"

Test #13:

score: 0
Accepted
time: 2ms
memory: 14016kb

input:

30 470

output:

491424690

result:

ok 1 number(s): "491424690"

Test #14:

score: 0
Accepted
time: 7ms
memory: 13896kb

input:

30 500

output:

8436035

result:

ok 1 number(s): "8436035"

Test #15:

score: 0
Accepted
time: 3ms
memory: 15772kb

input:

40 1000

output:

617159088

result:

ok 1 number(s): "617159088"

Test #16:

score: 0
Accepted
time: 3ms
memory: 15956kb

input:

40 900

output:

729805907

result:

ok 1 number(s): "729805907"

Test #17:

score: 0
Accepted
time: 12ms
memory: 22664kb

input:

60 1830

output:

16340084

result:

ok 1 number(s): "16340084"

Test #18:

score: 0
Accepted
time: 4ms
memory: 22584kb

input:

60 2000

output:

832198921

result:

ok 1 number(s): "832198921"

Test #19:

score: 0
Accepted
time: 81ms
memory: 57396kb

input:

100 5050

output:

437918130

result:

ok 1 number(s): "437918130"

Test #20:

score: 0
Accepted
time: 2ms
memory: 3700kb

input:

100 700

output:

0

result:

ok 1 number(s): "0"

Test #21:

score: 0
Accepted
time: 63ms
memory: 57400kb

input:

100 10000

output:

0

result:

ok 1 number(s): "0"