QOJ.ac

QOJ

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
#556338#9254. Random Variablesforgive_WA 3ms11592kbC++141.2kb2024-09-10 17:00:352024-09-10 17:00:35

Judging History

This is the latest submission verdict.

  • [2024-09-10 17:00:35]
  • Judged
  • Verdict: WA
  • Time: 3ms
  • Memory: 11592kb
  • [2024-09-10 17:00:35]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std ;

typedef long long LL ;
const int N = 1010 ;
// 妙妙题
// 容斥可以完成这个计数
// 观察dp式子,m每减1,n会减k,所以复杂度是 n/k 的 

int T , mod ;
LL C[N][N] ;

unordered_map<int,LL> f[N] ;
int K , n , m ;
LL dp( int n , int m ) // n个不同小球放入 m 个箱子,要求每个箱子中球数 <= K 
{
	if( n < 0 ) return 0 ;
	if( m == 0 ) return 1 ;
	if( n == 0 ) return 1 ;
	if( f[n].count(m) ) return f[n][m] ;
//	printf("f[%d][%d] = %lld\n" , n , m , f[n][m] ) ;
	return f[n][m] = m*( dp(n-1,m) - dp(n-K-1,m-1)*C[n-1][K]%mod ) % mod ;
//	return f[n][m] ;
}

int main()
{
	scanf("%d%d" , &T , &mod ) ;
	for(int i = 0 ; i <= 1000 ; i ++ ) {
		C[i][0] = 1 ;
		for(int j = 1 ; j <= i ; j ++ ) {
			C[i][j] = ( C[i-1][j] + C[i-1][j-1] ) % mod ;
		}
	}
	while( T -- ) {
		scanf("%d%d" , &n , &m ) ;
		LL sum = 0 , pw = 1 ;
		for( K = 1 ; K < n ; K ++ ) {
			for(int i = 0 ; i <= n ; i ++ ) f[i].clear() ;
			sum = ( sum + dp(n,m) ) % mod ;
//			printf("K = %d , (%d,%d) = %lld\n" , K , n , m , dp(n,m) ) ;
			pw = pw * m % mod ;
		}
		pw = pw * m % mod ;
		printf("%lld\n" , (pw*n%mod - sum + mod ) % mod ) ;
	}
	return 0 ;
}

详细

Test #1:

score: 100
Accepted
time: 3ms
memory: 11136kb

input:

3 123456789
3 2
5 5
7 7

output:

18
7145
2066323

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 0ms
memory: 11592kb

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: -100
Wrong Answer
time: 0ms
memory: 11452kb

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

result:

wrong answer 21st lines differ - expected: '0', found: '2'