| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 871083 |
2023-11-09T20:49:03 Z |
Ahmed57 |
NoM (RMI21_nom) |
C++17 |
|
184 ms |
32100 KB |
#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;
}
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
