답안 #871083

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
871083	2023-11-09T20:49:03 Z	Ahmed57	NoM (RMI21_nom)	C++17	100 / 100	184 ms	32100 KB

Main

#include <bits/stdc++.h>
using namespace std;
long long mod = 1000000007;
long long fact[10001],inv[10001];
long long fast(long long a,long long b){
    if(b==0)return 1;
    if(b==1)return a;
    long long h = fast(a,b/2);
    h*=h;h%=mod;
    if(b%2)return (h*a)%mod;
    else return h;
}
long long nPr(long long a,long long b){
    return (fact[a]*inv[a-b])%mod;
}
long long nCr(long long a,long long b){
    return (((fact[a]*inv[a-b])%mod)*inv[b])%mod;
}
long long dp[2001][2001];
int n,m;int cnt[2001];
long long solve(int i,int rem){
    if(i==m){
        return fact[rem*2];
    }
    if(dp[i][rem]!=-1)return dp[i][rem];
    long long de = 1;
    long long all =0;
    for(int j = 0;j<=cnt[i]/2;j++){
        all+=(((((solve(i+1,rem-j)*nPr(cnt[i],j*2))%mod)*nCr(rem,j))%mod)*de)%mod;
        all%=mod;
        de*=(mod-1);de%=mod;
    }
    return dp[i][rem] = all;
}
signed main(){
    ios_base::sync_with_stdio(false);cin.tie(0);
    memset(dp,-1,sizeof dp);
    fact[0] = 1;inv[0] = fast(fact[0],mod-2);
    for(long long i = 1;i<=1e4;i++){
        fact[i]=(fact[i-1]*i)%mod;
        inv[i]=fast(fact[i],mod-2);
    }
    cin>>n>>m;
    for(int i = 0;i<2*n;i++){
        cnt[i%m]++;
    }
    cout<<solve(0,n)<<endl;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	31832 KB	Output is correct
2	Correct	8 ms	31836 KB	Output is correct
3	Correct	8 ms	31836 KB	Output is correct
4	Correct	9 ms	31832 KB	Output is correct
5	Correct	8 ms	31832 KB	Output is correct
6	Correct	8 ms	31836 KB	Output is correct
7	Correct	8 ms	31848 KB	Output is correct
8	Correct	8 ms	31836 KB	Output is correct
9	Correct	8 ms	31836 KB	Output is correct
10	Correct	8 ms	31848 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	31832 KB	Output is correct
2	Correct	8 ms	31836 KB	Output is correct
3	Correct	8 ms	31836 KB	Output is correct
4	Correct	9 ms	31832 KB	Output is correct
5	Correct	8 ms	31832 KB	Output is correct
6	Correct	8 ms	31836 KB	Output is correct
7	Correct	8 ms	31848 KB	Output is correct
8	Correct	8 ms	31836 KB	Output is correct
9	Correct	8 ms	31836 KB	Output is correct
10	Correct	8 ms	31848 KB	Output is correct
11	Correct	8 ms	31836 KB	Output is correct
12	Correct	8 ms	31832 KB	Output is correct
13	Correct	8 ms	31836 KB	Output is correct
14	Correct	8 ms	31836 KB	Output is correct
15	Correct	8 ms	31916 KB	Output is correct
16	Correct	9 ms	31836 KB	Output is correct
17	Correct	8 ms	31912 KB	Output is correct
18	Correct	8 ms	31836 KB	Output is correct
19	Correct	9 ms	32088 KB	Output is correct

Subtask #3
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	31832 KB	Output is correct
2	Correct	8 ms	31836 KB	Output is correct
3	Correct	8 ms	31836 KB	Output is correct
4	Correct	9 ms	31832 KB	Output is correct
5	Correct	8 ms	31832 KB	Output is correct
6	Correct	8 ms	31836 KB	Output is correct
7	Correct	8 ms	31848 KB	Output is correct
8	Correct	8 ms	31836 KB	Output is correct
9	Correct	8 ms	31836 KB	Output is correct
10	Correct	8 ms	31848 KB	Output is correct
11	Correct	8 ms	31836 KB	Output is correct
12	Correct	8 ms	31832 KB	Output is correct
13	Correct	8 ms	31836 KB	Output is correct
14	Correct	8 ms	31836 KB	Output is correct
15	Correct	8 ms	31916 KB	Output is correct
16	Correct	9 ms	31836 KB	Output is correct
17	Correct	8 ms	31912 KB	Output is correct
18	Correct	8 ms	31836 KB	Output is correct
19	Correct	9 ms	32088 KB	Output is correct
20	Correct	9 ms	31836 KB	Output is correct
21	Correct	9 ms	31836 KB	Output is correct
22	Correct	11 ms	31836 KB	Output is correct
23	Correct	9 ms	31912 KB	Output is correct
24	Correct	11 ms	31972 KB	Output is correct
25	Correct	11 ms	31836 KB	Output is correct
26	Correct	10 ms	31960 KB	Output is correct
27	Correct	12 ms	31836 KB	Output is correct

Subtask #4
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	31832 KB	Output is correct
2	Correct	8 ms	31836 KB	Output is correct
3	Correct	8 ms	31836 KB	Output is correct
4	Correct	9 ms	31832 KB	Output is correct
5	Correct	8 ms	31832 KB	Output is correct
6	Correct	8 ms	31836 KB	Output is correct
7	Correct	8 ms	31848 KB	Output is correct
8	Correct	8 ms	31836 KB	Output is correct
9	Correct	8 ms	31836 KB	Output is correct
10	Correct	8 ms	31848 KB	Output is correct
11	Correct	8 ms	31836 KB	Output is correct
12	Correct	8 ms	31832 KB	Output is correct
13	Correct	8 ms	31836 KB	Output is correct
14	Correct	8 ms	31836 KB	Output is correct
15	Correct	8 ms	31916 KB	Output is correct
16	Correct	9 ms	31836 KB	Output is correct
17	Correct	8 ms	31912 KB	Output is correct
18	Correct	8 ms	31836 KB	Output is correct
19	Correct	9 ms	32088 KB	Output is correct
20	Correct	9 ms	31836 KB	Output is correct
21	Correct	9 ms	31836 KB	Output is correct
22	Correct	11 ms	31836 KB	Output is correct
23	Correct	9 ms	31912 KB	Output is correct
24	Correct	11 ms	31972 KB	Output is correct
25	Correct	11 ms	31836 KB	Output is correct
26	Correct	10 ms	31960 KB	Output is correct
27	Correct	12 ms	31836 KB	Output is correct
28	Correct	20 ms	31848 KB	Output is correct
29	Correct	22 ms	31836 KB	Output is correct
30	Correct	23 ms	31836 KB	Output is correct
31	Correct	19 ms	31940 KB	Output is correct
32	Correct	23 ms	31836 KB	Output is correct
33	Correct	26 ms	31832 KB	Output is correct
34	Correct	44 ms	31836 KB	Output is correct

Subtask #5
48.0 / 48.0

#	결과	실행 시간	메모리	Grader output
1	Correct	8 ms	31832 KB	Output is correct
2	Correct	8 ms	31836 KB	Output is correct
3	Correct	8 ms	31836 KB	Output is correct
4	Correct	9 ms	31832 KB	Output is correct
5	Correct	8 ms	31832 KB	Output is correct
6	Correct	8 ms	31836 KB	Output is correct
7	Correct	8 ms	31848 KB	Output is correct
8	Correct	8 ms	31836 KB	Output is correct
9	Correct	8 ms	31836 KB	Output is correct
10	Correct	8 ms	31848 KB	Output is correct
11	Correct	8 ms	31836 KB	Output is correct
12	Correct	8 ms	31832 KB	Output is correct
13	Correct	8 ms	31836 KB	Output is correct
14	Correct	8 ms	31836 KB	Output is correct
15	Correct	8 ms	31916 KB	Output is correct
16	Correct	9 ms	31836 KB	Output is correct
17	Correct	8 ms	31912 KB	Output is correct
18	Correct	8 ms	31836 KB	Output is correct
19	Correct	9 ms	32088 KB	Output is correct
20	Correct	9 ms	31836 KB	Output is correct
21	Correct	9 ms	31836 KB	Output is correct
22	Correct	11 ms	31836 KB	Output is correct
23	Correct	9 ms	31912 KB	Output is correct
24	Correct	11 ms	31972 KB	Output is correct
25	Correct	11 ms	31836 KB	Output is correct
26	Correct	10 ms	31960 KB	Output is correct
27	Correct	12 ms	31836 KB	Output is correct
28	Correct	20 ms	31848 KB	Output is correct
29	Correct	22 ms	31836 KB	Output is correct
30	Correct	23 ms	31836 KB	Output is correct
31	Correct	19 ms	31940 KB	Output is correct
32	Correct	23 ms	31836 KB	Output is correct
33	Correct	26 ms	31832 KB	Output is correct
34	Correct	44 ms	31836 KB	Output is correct
35	Correct	82 ms	31840 KB	Output is correct
36	Correct	135 ms	32100 KB	Output is correct
37	Correct	81 ms	31832 KB	Output is correct
38	Correct	98 ms	32016 KB	Output is correct
39	Correct	108 ms	32092 KB	Output is correct
40	Correct	184 ms	32088 KB	Output is correct

답안 #871083

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