답안 #514633

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
514633	2022-01-18T10:06:41 Z	kshitij_sodani	NoM (RMI21_nom)	C++14	100 / 100	134 ms	31664 KB

Main

//#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define mp make_pair
#define pb push_back
#define a first 
#define b second
#define endl '\n'
llo m,n;
const llo mod=1e9+7;

llo ee(llo aa,llo bb){
	if(bb==0){
		return 1;
	}
	llo ac=ee(aa,bb/2);
	ac=(ac*ac)%mod;
	if(bb%2==1){
		ac=(ac*aa)%mod;
	}
	return ac;
}
llo fac[4002];
llo fac2[4002];
llo cal(llo x,llo y){
 
	llo cur=(fac[x]*fac2[y])%mod;
	cur=(cur*fac2[x-y])%mod;
	return cur;
}

llo dp[2001][2001];
llo co[2001];
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	fac[0]=1;
	llo ma=4000;
	for(llo i=1;i<=ma;i++){
		fac[i]=(fac[i-1]*i)%mod;
		//cout<<fac[i]<<":";
	}
//	cout<<endl;
 
	for(llo i=ma;i>=0;i--){
		if(i==ma){
			fac2[i]=ee(fac[i],mod-2);
		}
		else{
			fac2[i]=(fac2[i+1]*(i+1))%mod;
		}
		//cout<<fac2[i]<<":";
	}
	cin>>n>>m;
	for(llo j=0;j<2*n;j++){
		co[(j%m)+1]++;
	}
	dp[0][0]=1;
	for(llo i=1;i<=m;i++){
		for(llo j=0;j<=n;j++){
			llo mi=max((j-(co[i]/2)),(llo)0);
			for(llo k=j;k>=mi;k--){
				llo cur=cal(co[i],j-k)*cal(co[i]-(j-k),j-k);
				cur%=mod;
				cur=(cur*fac[j-k])%mod;
				dp[i][j]=(dp[i][j]+dp[i-1][k]*cur)%mod;
			}
		}
	}


	llo ans=fac[2*n];
	//cout<<ans<<":"<<endl;
	for(llo i=1;i<=n;i++){
		llo cur=dp[m][i];
		//cout<<i<<":"<<dp[m][i]<<endl;
		cur=(cur*cal(n,i))%mod;
		cur=(cur*fac[i])%mod;
		cur=(cur*fac[2*n-2*i])%mod;
		//cout<<i<<","<<cur<<endl;
		if(i%2==1){
			//cout<<11<<endl;
			ans=(ans-cur+mod)%mod;
		}
		else{
			ans=(ans+cur)%mod;
		}
		//cout<<ans<<endl;
		
	}
	cout<<ans<<endl;



 
	return 0;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	0 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	388 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	0 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	388 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	640 KB	Output is correct
12	Correct	1 ms	588 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	460 KB	Output is correct
15	Correct	1 ms	640 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	588 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct

Subtask #3
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	0 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	388 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	640 KB	Output is correct
12	Correct	1 ms	588 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	460 KB	Output is correct
15	Correct	1 ms	640 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	588 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	2 ms	384 KB	Output is correct
21	Correct	1 ms	716 KB	Output is correct
22	Correct	3 ms	1868 KB	Output is correct
23	Correct	1 ms	460 KB	Output is correct
24	Correct	4 ms	1228 KB	Output is correct
25	Correct	4 ms	1776 KB	Output is correct
26	Correct	1 ms	460 KB	Output is correct
27	Correct	6 ms	2252 KB	Output is correct

Subtask #4
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	0 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	388 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	640 KB	Output is correct
12	Correct	1 ms	588 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	460 KB	Output is correct
15	Correct	1 ms	640 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	588 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	2 ms	384 KB	Output is correct
21	Correct	1 ms	716 KB	Output is correct
22	Correct	3 ms	1868 KB	Output is correct
23	Correct	1 ms	460 KB	Output is correct
24	Correct	4 ms	1228 KB	Output is correct
25	Correct	4 ms	1776 KB	Output is correct
26	Correct	1 ms	460 KB	Output is correct
27	Correct	6 ms	2252 KB	Output is correct
28	Correct	5 ms	460 KB	Output is correct
29	Correct	11 ms	3340 KB	Output is correct
30	Correct	16 ms	5588 KB	Output is correct
31	Correct	6 ms	460 KB	Output is correct
32	Correct	13 ms	3532 KB	Output is correct
33	Correct	21 ms	6476 KB	Output is correct
34	Correct	29 ms	10224 KB	Output is correct

Subtask #5
48.0 / 48.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	0 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	388 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	640 KB	Output is correct
12	Correct	1 ms	588 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	460 KB	Output is correct
15	Correct	1 ms	640 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	588 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	2 ms	384 KB	Output is correct
21	Correct	1 ms	716 KB	Output is correct
22	Correct	3 ms	1868 KB	Output is correct
23	Correct	1 ms	460 KB	Output is correct
24	Correct	4 ms	1228 KB	Output is correct
25	Correct	4 ms	1776 KB	Output is correct
26	Correct	1 ms	460 KB	Output is correct
27	Correct	6 ms	2252 KB	Output is correct
28	Correct	5 ms	460 KB	Output is correct
29	Correct	11 ms	3340 KB	Output is correct
30	Correct	16 ms	5588 KB	Output is correct
31	Correct	6 ms	460 KB	Output is correct
32	Correct	13 ms	3532 KB	Output is correct
33	Correct	21 ms	6476 KB	Output is correct
34	Correct	29 ms	10224 KB	Output is correct
35	Correct	35 ms	628 KB	Output is correct
36	Correct	97 ms	26692 KB	Output is correct
37	Correct	34 ms	544 KB	Output is correct
38	Correct	65 ms	13084 KB	Output is correct
39	Correct	82 ms	23920 KB	Output is correct
40	Correct	134 ms	31664 KB	Output is correct

답안 #514633

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 12.0 / 12.0

Subtask #3 13.0 / 13.0

Subtask #4 18.0 / 18.0

Subtask #5 48.0 / 48.0

Subtask #1
9.0 / 9.0

Subtask #2
12.0 / 12.0

Subtask #3
13.0 / 13.0

Subtask #4
18.0 / 18.0

Subtask #5
48.0 / 48.0