oj.uz

Submission #514633

# Submission time Handle Problem Language Result Execution time Memory
514633 2022-01-18T10:06:41 Z kshitij_sodani NoM (RMI21_nom) C++14
100 / 100
 134 ms 31664 KB 
//#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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