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Submission #499447

# Submission time Handle Problem Language Result Execution time Memory
499447 2021-12-28T12:38:13 Z andrei_boaca NoM (RMI21_nom) C++17
100 / 100
 48 ms 23208 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
/*ifstream fin("num.in");
ofstream fout("num.out");*/
typedef long long ll;
const ll mod=1e9+7;
ll n,m,dp[2005][2005],ans,fact[10005],invfact[10005],nr[10005];
ll pw(ll a, ll b)
{
    ll rez=1;
    while(b)
    {
        if(b&1)
            rez=(rez*a)%mod;
        b/=2;
        a=(a*a)%mod;
    }
    return rez;
}
ll inv(ll a)
{
    return pw(a,mod-2);
}
ll comb(ll a, ll b)
{
    if(a<b)
        return 0;
    ll rez=(fact[a]*invfact[b])%mod;
    rez=(rez*invfact[a-b])%mod;
    return rez;
}
ll aranj(ll a, ll b)
{
    ll rez=comb(a,b);
    rez=(rez*fact[b])%mod;
    return rez;
}
int main()
{
    fact[0]=invfact[0]=1;
    for(ll i=1;i<=10000;i++)
    {
        fact[i]=(fact[i-1]*i)%mod;
        invfact[i]=inv(fact[i])%mod;
    }
    cin>>n>>m;
    for(int i=1;i<=2*n;i++)
        nr[i%m+1]++;
    dp[0][0]=1;
    int suma=0;
    for(int i=1;i<=m;i++)
    {
        suma+=nr[i];
        for(int cur=0;cur<=nr[i]/2;cur++)
        {
            ll x=aranj(nr[i],cur*2);
            for(int tot=cur;tot<=suma/2;tot++)
            {
                ll val=dp[i-1][tot-cur];
                val=(val*x)%mod;
                val=(val*comb(n-tot+cur,cur))%mod;
                dp[i][tot]=(dp[i][tot]+val)%mod;
            }
        }
        //cout<<dp[i][0]<<' ';
    }
    for(int i=0;i<=n;i++)
    {
        ll val=dp[m][i]%mod;
        val=(val*fact[2*n-2*i])%mod;
        if(i%2==1)
        {
            ans-=val;
            if(ans<0)
                ans+=mod;
        }
        else
            ans=(ans+val)%mod;
    }
    cout<<ans;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 464 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 464 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 2 ms 584 KB Output is correct
12 Correct 2 ms 588 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 588 KB Output is correct
15 Correct 2 ms 720 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 2 ms 588 KB Output is correct
18 Correct 2 ms 588 KB Output is correct
19 Correct 2 ms 464 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 464 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 2 ms 584 KB Output is correct
12 Correct 2 ms 588 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 588 KB Output is correct
15 Correct 2 ms 720 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 2 ms 588 KB Output is correct
18 Correct 2 ms 588 KB Output is correct
19 Correct 2 ms 464 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1740 KB Output is correct
23 Correct 2 ms 460 KB Output is correct
24 Correct 3 ms 1100 KB Output is correct
25 Correct 4 ms 1624 KB Output is correct
26 Correct 2 ms 460 KB Output is correct
27 Correct 3 ms 2000 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 464 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 2 ms 584 KB Output is correct
12 Correct 2 ms 588 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 588 KB Output is correct
15 Correct 2 ms 720 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 2 ms 588 KB Output is correct
18 Correct 2 ms 588 KB Output is correct
19 Correct 2 ms 464 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1740 KB Output is correct
23 Correct 2 ms 460 KB Output is correct
24 Correct 3 ms 1100 KB Output is correct
25 Correct 4 ms 1624 KB Output is correct
26 Correct 2 ms 460 KB Output is correct
27 Correct 3 ms 2000 KB Output is correct
28 Correct 3 ms 452 KB Output is correct
29 Correct 6 ms 2636 KB Output is correct
30 Correct 8 ms 4300 KB Output is correct
31 Correct 4 ms 588 KB Output is correct
32 Correct 6 ms 2764 KB Output is correct
33 Correct 9 ms 4940 KB Output is correct
34 Correct 13 ms 7168 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 464 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 2 ms 584 KB Output is correct
12 Correct 2 ms 588 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 588 KB Output is correct
15 Correct 2 ms 720 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 2 ms 588 KB Output is correct
18 Correct 2 ms 588 KB Output is correct
19 Correct 2 ms 464 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 2 ms 716 KB Output is correct
22 Correct 4 ms 1740 KB Output is correct
23 Correct 2 ms 460 KB Output is correct
24 Correct 3 ms 1100 KB Output is correct
25 Correct 4 ms 1624 KB Output is correct
26 Correct 2 ms 460 KB Output is correct
27 Correct 3 ms 2000 KB Output is correct
28 Correct 3 ms 452 KB Output is correct
29 Correct 6 ms 2636 KB Output is correct
30 Correct 8 ms 4300 KB Output is correct
31 Correct 4 ms 588 KB Output is correct
32 Correct 6 ms 2764 KB Output is correct
33 Correct 9 ms 4940 KB Output is correct
34 Correct 13 ms 7168 KB Output is correct
35 Correct 13 ms 592 KB Output is correct
36 Correct 39 ms 19140 KB Output is correct
37 Correct 13 ms 584 KB Output is correct
38 Correct 25 ms 9024 KB Output is correct
39 Correct 31 ms 16128 KB Output is correct
40 Correct 48 ms 23208 KB Output is correct