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Submission #646023

# Submission time Handle Problem Language Result Execution time Memory
646023 2022-09-28T13:57:28 Z Kripton NoM (RMI21_nom) C++14
100 / 100
 71 ms 368 KB 
#include <bits/stdc++.h>
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 1 ms 340 KB Output is correct
3 Correct 1 ms 260 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 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 1 ms 340 KB Output is correct
3 Correct 1 ms 260 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 368 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 1 ms 340 KB Output is correct
19 Correct 1 ms 368 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 1 ms 340 KB Output is correct
3 Correct 1 ms 260 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 368 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 1 ms 340 KB Output is correct
19 Correct 1 ms 368 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 368 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 360 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 276 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 1 ms 340 KB Output is correct
3 Correct 1 ms 260 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 368 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 1 ms 340 KB Output is correct
19 Correct 1 ms 368 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 368 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 360 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 276 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
29 Correct 6 ms 360 KB Output is correct
30 Correct 10 ms 356 KB Output is correct
31 Correct 5 ms 364 KB Output is correct
32 Correct 7 ms 340 KB Output is correct
33 Correct 11 ms 368 KB Output is correct
34 Correct 17 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 1 ms 340 KB Output is correct
3 Correct 1 ms 260 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 368 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 1 ms 340 KB Output is correct
19 Correct 1 ms 368 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 368 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 360 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 276 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
29 Correct 6 ms 360 KB Output is correct
30 Correct 10 ms 356 KB Output is correct
31 Correct 5 ms 364 KB Output is correct
32 Correct 7 ms 340 KB Output is correct
33 Correct 11 ms 368 KB Output is correct
34 Correct 17 ms 364 KB Output is correct
35 Correct 23 ms 364 KB Output is correct
36 Correct 52 ms 340 KB Output is correct
37 Correct 20 ms 340 KB Output is correct
38 Correct 36 ms 340 KB Output is correct
39 Correct 63 ms 348 KB Output is correct
40 Correct 71 ms 348 KB Output is correct