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Submission #646029

# Submission time Handle Problem Language Result Execution time Memory
646029 2022-09-28T14:01:48 Z Kripton NoM (RMI21_nom) C++14
100 / 100
 62 ms 364 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast","unroll-loops")
using namespace std;
const int MOD=1e9+7;
int lgput(int a,int b)
{
    int rez=1;
    while(b)
    {
        if(b%2)
            rez=1LL*rez*a%MOD;
        a=1LL*a*a%MOD;
        b/=2;
    }
    return rez;
}
template <const int MOD> struct numar{
    int x;
    numar(int x=0){
        this->x=x;
    }
    bool operator!=(const numar &other) const{
        return x!=other.x;
    }
    numar& operator=(const numar &other){
        x=other.x;
        return *this;
    }
    numar operator+(const numar &other) const{
        return numar(x+other.x>=MOD?x+other.x-MOD:x+other.x);
    }
    numar operator-(const numar &other) const{
        return numar(x-other.x<0?x-other.x+MOD:x-other.x);
    }
    numar operator*(const numar &other) const{
        return numar(1LL*x*other.x%MOD);
    }
    numar operator/(const numar &other) const{
        return numar(1LL*x*lgput(other.x,MOD-2)%MOD);
    }
    void afis(){
        cout<<x;
    }
};
numar <MOD> fact[4001],invfact[4001];
numar <MOD> dp[2][2001];
int exist[2],exidr[2];
numar <MOD> comb(int a,int b)
{
    if(b>a)
        return 0;
    return fact[a]*invfact[b]*invfact[a-b];
}
numar <MOD> put[4001];
int main()
{
    int n,m,i,j,l;
    cin>>n>>m;
    fact[0]=1;
    put[0]=1;
    for(i=1;i<=2*n;i++)
        put[i]=put[i-1]*2;
    for(i=1;i<=2*n;i++)
        fact[i]=fact[i-1]*i;
    invfact[2*n]=lgput(fact[2*n].x,MOD-2);
    for(i=2*n-1;i>=0;i--)
        invfact[i]=invfact[i+1]*(i+1);
    int cnt2=2*n%m;//2*n/m+1
    int cnt1=m-cnt2;//2*n/m;
    int k=2*n/m;
    int sum=k;
    dp[1][n-k]=comb(n,k)*put[k]*fact[k];
    exist[1]=n-k;
    exidr[1]=n-k;
    for(i=1;i<=cnt1-1;i++)
    {
        for(j=0;j<=n;j++)
            dp[1-(i&1)][j]=0;
        exist[1-(i&1)]=n+1;
        exidr[1-(i&1)]=-1;
        for(j=exist[i&1];j<=exidr[i&1];j++)
            if(dp[i&1][j]!=0)
            {
                int unu=(n-j)*2-sum;
                if(unu<0)
                    break;
                for(l=max(j-k,0);l<=j;l++)
                {
                    if(k-(j-l)>unu)
                        break;
                    dp[1-(i&1)][l]=dp[1-(i&1)][l]+dp[i&1][j]*fact[k]*comb(j,j-l)*put[j-l]*comb(unu,k-(j-l));
                    exist[1-(i&1)]=min(exist[1-(i&1)],l);
                    exidr[1-(i&1)]=max(exidr[1-(i&1)],l);
                }
            }
        sum+=k;
    }
    k++;
    for(;i<=cnt1+cnt2-1;i++)
    {
        for(j=0;j<=n;j++)
            dp[1-(i&1)][j]=0;
        exist[1-(i&1)]=n+1;
        exidr[1-(i&1)]=-1;
        for(j=exist[i&1];j<=exidr[i&1];j++)
            if(dp[i&1][j]!=0)
            {
                int unu=(n-j)*2-sum;
                if(unu<0)
                    break;
                for(l=max(j-k,0);l<=j;l++)
                {
                    if(k-(j-l)>unu)
                        break;
                    dp[1-(i&1)][l]=dp[1-(i&1)][l]+dp[i&1][j]*fact[k]*comb(j,j-l)*put[j-l]*comb(unu,k-(j-l));
                    exist[1-(i&1)]=min(exist[1-(i&1)],l);
                    exidr[1-(i&1)]=max(exidr[1-(i&1)],l);
                }
            }
        sum+=k;
    }
    dp[m%2][0].afis();
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
29 Correct 8 ms 340 KB Output is correct
30 Correct 8 ms 340 KB Output is correct
31 Correct 3 ms 340 KB Output is correct
32 Correct 6 ms 360 KB Output is correct
33 Correct 9 ms 340 KB Output is correct
34 Correct 13 ms 364 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
29 Correct 8 ms 340 KB Output is correct
30 Correct 8 ms 340 KB Output is correct
31 Correct 3 ms 340 KB Output is correct
32 Correct 6 ms 360 KB Output is correct
33 Correct 9 ms 340 KB Output is correct
34 Correct 13 ms 364 KB Output is correct
35 Correct 21 ms 340 KB Output is correct
36 Correct 51 ms 340 KB Output is correct
37 Correct 21 ms 340 KB Output is correct
38 Correct 34 ms 340 KB Output is correct
39 Correct 39 ms 364 KB Output is correct
40 Correct 62 ms 352 KB Output is correct