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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#768819#9254. Random VariablesNeil_QianRE 4ms15252kbC++14717b2024-11-21 14:40:512024-11-21 14:40:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 14:40:52]
  • 评测
  • 测评结果：RE
  • 用时：4ms
  • 内存：15252kb
查看
  • [2024-11-21 14:40:51]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;using ll=long long;
const int N=1002;ll T,p,w=1000,n,m,C[N][N],dp[N][N],f[N],ans;
int main(){
	ios::sync_with_stdio(0),cin.tie(0),cout.tie(0),cin>>T>>p,C[0][0]=1;
	for(int i=1;i<=w;i++){
		C[i][0]=C[i-1][0];
		for(int j=1;j<=i;j++)C[i][j]=(C[i-1][j]+C[i-1][j-1])%p;
	}
	while(T--){
		cin>>n>>m,ans=0;
		for(int k=1,M;k<=n;k++){
			M=max(m-(n/k),0LL);
			for(int i=M;i<=m;i++)dp[0][i]=1;
			for(int i=1;i<=n;i++)for(int j=M;j<=m;j++)
				dp[i][j]=(j*(dp[i-1][j]+p-(i-k-1>=0?dp[i-k-1][j-1]*C[i-1][k]%p:0))%p);
			f[k]=dp[n][m],(ans+=k*(f[k]+p-f[k-1])%p)%=p;
			for(int i=0;i<=n;i++)for(int j=M;j<=m;j++)dp[i][j]=0;
		}
		cout<<ans<<"\n";
	}
	return 0;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 13096kb

input:

3 123456789
3 2
5 5
7 7

output:

18
7145
2066323

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 2ms
memory: 15252kb

input:

100 2
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #3:

score: 0
Accepted
time: 4ms
memory: 12784kb

input:

100 3
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
0
1
2
0
1
2
0
1
2
0
0
2
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1

result:

ok 100 lines

Test #4:

score: 0
Accepted
time: 0ms
memory: 11996kb

input:

100 4
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
0
1
2
3
0
1
2
2
2
0
0
2
2
0
0
2
2
3
2
3
0
3
2
3
0
3
2
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0
3
0
3
0
3
0
3
0
3
0
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0

result:

ok 100 lines

Test #5:

score: 0
Accepted
time: 3ms
memory: 12696kb

input:

100 5
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
0
1
2
3
4
0
2
1
2
0
0
2
1
2
0
0
3
3
1
3
0
3
3
1
3
0
4
4
2
4
0
4
4
2
4
0
0
0
0
0
0
0
0
0
0
0
1
2
3
4
0
1
2
3
4
0
2
3
3
2
0
2
3
3
2
0
3
4
1
2
0
3
4
1
2
0
4
4
4
4
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 0ms
memory: 11700kb

input:

100 6
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
0
1
2
3
4
2
0
0
2
0
0
2
0
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4
5
2
3
2
5
0
5
2
3
2
0
0
0
0
0
0
0
0
0
0
1
0
3
4
3
0
1
0
3
4
2
2
0
2
2
0
2
2
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 4ms
memory: 13272kb

input:

100 7
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
0
1
2
3
2
6
5
6
2
0
0
2
6
5
3
4
2
3
6
3
0
3
4
2
4
2
3
5
2
5
0
4
2
3
5
5
3
6
5
4
0
5
5
3
6
0
6
1
1
6
0
6
0
6
0
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
0
1
2
3
2
1
4
4
1
2
0
2
1
4
3
3
4
3
4
4
0
3
3
4

result:

ok 100 lines

Test #8:

score: 0
Accepted
time: 3ms
memory: 12052kb

input:

100 8
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
0
1
2
2
6
4
4
6
2
0
0
2
6
3
2
3
4
3
6
3
0
3
2
4
4
0
0
4
4
0
0
4
4
5
6
3
4
1
2
7
0
5
6
6
4
6
0
6
4
6
0
6
4
7
4
3
0
7
4
3
0
7
4
0
0
0
0
0
0
0
0
0
0
1
6
3
4
5
2
7
0
1
6
2
4
6
0
2
4
6
0
2
4

result:

ok 100 lines

Test #9:

score: 0
Accepted
time: 4ms
memory: 12584kb

input:

100 9
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
8
0
1
2
6
3
2
3
6
2
0
0
2
3
0
6
0
6
3
6
3
0
3
4
8
3
4
5
6
4
2
0
4
5
2
0
2
8
0
8
5
0
5
6
0
0
6
0
0
6
0
0
6
7
3
6
1
3
3
4
3
0
7
8
8
6
5
8
3
2
8
0
8
0
0
0
0
0
0
0
0
0
0
1
8
3
4
2
6
7
5
0
1

result:

ok 100 lines

Test #10:

score: 0
Accepted
time: 3ms
memory: 11548kb

input:

100 10
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
0
2
6
2
0
0
2
6
2
0
0
3
8
1
8
5
8
3
6
3
0
4
4
2
4
0
4
4
2
4
0
5
0
5
0
5
0
5
0
5
0
6
2
8
4
0
6
2
8
4
0
7
8
3
2
5
2
3
8
7
0
8
4
6
2
0
8
4
6
2
0
9
4
9
4
5
4
9
4
9
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #11:

score: 0
Accepted
time: 3ms
memory: 12412kb

input:

100 11
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
10
2
6
1
9
8
9
1
6
2
0
3
7
7
9
8
10
10
3
6
3
4
0
5
5
10
10
8
9
9
6
5
0
4
10
6
7
10
4
2
7
6
10
4
5
3
2
0
7
2
5
7
5
2
8
6
1
6
0
3
6
8
6
6
3
2
4
8
3
6
9
9
8
10
2
8
6
10
9
3
1
10
0
4
3
0
6
0
7
4
9

result:

ok 100 lines

Test #12:

score: -100
Runtime Error

input:

10 972033073
576 523187654
758 588616188
30 532959085
476 481773028
573 76725430
520 142462406
865 820120297
687 526533288
913 38106557
67 924529654

output:

result:
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