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Submission #992605

# Submission time Handle Problem Language Result Execution time Memory
992605 2024-06-04T19:14:34 Z Abito NoM (RMI21_nom) C++17
100 / 100
 239 ms 51796 KB 
#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define ppb pop_back
#define ep insert
#define endl '\n'
#define elif else if
#define pow pwr
#define sqrt sqrtt
#define int long long
#define ll long long
#define y1 YONE
typedef unsigned long long ull;
using namespace std;
const int N=5005,M=1e9+7;
int dp[N][N],n,m,a[N],b,fac[N],p2[N],inv[N];
bool vis[N][N];
int C(int n,int k){
    if (n<0 || k<0 || n-k<0) return 0;
    return fac[n]*inv[k]%M*inv[n-k]%M;
}
int pow(int x,int y){
    if (!y) return 1;
    int z=pow(x,y/2);
    z=z*z%M;
    if (y&1) z=z*x%M;
    return z;
}
int rec(int i,int j){
    if (i==m+1) return (j==0);
    if (vis[i][j]) return dp[i][j];
    vis[i][j]=1;
    for (int k=0;k<=min(a[i]/2,j);k++){
        dp[i][j]=(dp[i][j]+rec(i+1,j-k)*C(j,k)%M*C(a[i],2*k)%M*fac[2*k]%M)%M;
    }return dp[i][j];
}
int32_t main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    fac[0]=1;p2[0]=1;
    for (int i=1;i<N;i++) p2[i]=p2[i-1]*2LL%M;
    for (int i=1;i<N;i++) fac[i]=fac[i-1]*i%M;
    inv[N-1]=pow(fac[N-1],M-2);
    for (int i=N-2;i>=0;i--) inv[i]=inv[i+1]*(i+1)%M;
    cin>>n>>m;
    for (int i=1;i<=2*n;i++) if (i%m)a[i%m]++; else a[m]++;
    //for (int j=1;j<=20;j++) cout<<a[j]<<' ';cout<<endl;
    int ans=fac[2*n];
    for (int i=1;i<=n;i++){
        //cout<<rec(1,i)<<endl;
        if (i&1) ans=(ans-rec(1,i)*C(n,i)%M*fac[2*n-2*i]%M+M)%M;
        else ans=(ans+rec(1,i)*C(n,i)%M*fac[2*n-2*i]%M)%M;
    }cout<<ans<<endl;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 3160 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 3160 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 2 ms 3164 KB Output is correct
22 Correct 4 ms 4956 KB Output is correct
23 Correct 3 ms 2652 KB Output is correct
24 Correct 5 ms 3796 KB Output is correct
25 Correct 4 ms 4936 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 6 ms 5724 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 3160 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 2 ms 3164 KB Output is correct
22 Correct 4 ms 4956 KB Output is correct
23 Correct 3 ms 2652 KB Output is correct
24 Correct 5 ms 3796 KB Output is correct
25 Correct 4 ms 4936 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 6 ms 5724 KB Output is correct
28 Correct 8 ms 2652 KB Output is correct
29 Correct 15 ms 6896 KB Output is correct
30 Correct 20 ms 10468 KB Output is correct
31 Correct 8 ms 2652 KB Output is correct
32 Correct 18 ms 7144 KB Output is correct
33 Correct 26 ms 11600 KB Output is correct
34 Correct 57 ms 16724 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 3160 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 2 ms 3164 KB Output is correct
22 Correct 4 ms 4956 KB Output is correct
23 Correct 3 ms 2652 KB Output is correct
24 Correct 5 ms 3796 KB Output is correct
25 Correct 4 ms 4936 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 6 ms 5724 KB Output is correct
28 Correct 8 ms 2652 KB Output is correct
29 Correct 15 ms 6896 KB Output is correct
30 Correct 20 ms 10468 KB Output is correct
31 Correct 8 ms 2652 KB Output is correct
32 Correct 18 ms 7144 KB Output is correct
33 Correct 26 ms 11600 KB Output is correct
34 Correct 57 ms 16724 KB Output is correct
35 Correct 46 ms 2708 KB Output is correct
36 Correct 183 ms 41160 KB Output is correct
37 Correct 45 ms 2652 KB Output is correct
38 Correct 96 ms 20304 KB Output is correct
39 Correct 140 ms 34468 KB Output is correct
40 Correct 239 ms 51796 KB Output is correct