Submission #880085

#	Time	Username	Problem	Language	Result	Execution time	Memory
880085		alexdd	Energetic turtle (IZhO11_turtle)	C++17	30 / 100	604 ms	242004 KiB

turtle

#include<iostream>
#include<algorithm>
using namespace std;
#define int long long
int n,m,k,t,MOD;
int put(int a, int exp)
{
    if(exp==0)
        return 1;
    if(exp%2==0)
        return put((a*a)%MOD,exp/2);
    else
        return (put((a*a)%MOD,exp/2)*a)%MOD;
}
pair<int,int> traps[25];
int dp[1100000];
int ult[1100000];
int fact[6000015];
int invf[6000015];
int cmb[1005][1005];
int comb(int x, int y)
{
    return cmb[x][y];
    int prod=1;
    for(int i=1;i<=x;i++)
        prod = prod * i;
    for(int i=1;i<=y;i++)
        prod = prod/i;
    for(int i=1;i<=x-y;i++)
        prod = prod/i;
    return prod%MOD;
    return (((((fact[x]*put(fact[y],MOD-2))%MOD)*put(fact[x-y],MOD-2))))%MOD;
}
signed main()
{
    cin>>n>>m>>k>>t>>MOD;
    for(int i=0;i<=n+m;i++)
    {
        for(int j=0;j<=i;j++)
        {
            if(i==0 || j==0)
            {
                cmb[i][j]=1;
                continue;
            }
            cmb[i][j] = (cmb[i-1][j] + cmb[i-1][j-1])%MOD;
        }
    }
    fact[0]=1;
    for(int i=1;i<=n+m;i++)
        fact[i] = (fact[i-1]*i)%MOD;
    invf[n+m] = put(fact[n+m],MOD-2);
    for(int i=n+m-1;i>=0;i--)
        invf[i]=(invf[i+1]*(i+1))%MOD;
    for(int i=0;i<k;i++)
    {
        cin>>traps[i].first>>traps[i].second;
    }
    sort(traps,traps+k);
    int rez=comb(n+m,n);
    for(int config=1;config<(1<<k);config++)
    {
        int cnt=0;
        for(int i=0;i<k;i++)
            if(((1<<i)&config))
                cnt++;
        for(int i=0;i<k;i++)
        {
            if(((1<<i)&config) && (cnt==1 || (traps[ult[config-(1<<i)]].first <= traps[i].first && traps[ult[config-(1<<i)]].second <= traps[i].second)))
            {
                ult[config]=i;
                if(cnt>1)
                {
                    int j = ult[config-(1<<i)];
                    dp[config] = (dp[config-(1<<i)] * comb((traps[i].first - traps[j].first) + (traps[i].second - traps[j].second), (traps[i].second - traps[j].second)))%MOD;
                }
                else
                    dp[config] = comb(traps[i].first + traps[i].second, traps[i].first);
                if(cnt%2==0 && cnt>t)
                    rez += (dp[config] * comb(n - traps[i].first + m - traps[i].second, n - traps[i].first))%MOD;
                else if(cnt>t)
                    rez = rez + MOD - (dp[config] * comb(n - traps[i].first + m - traps[i].second, n - traps[i].first))%MOD;
                rez%=MOD;
                break;
            }
        }
    }
    cout<<rez;
    return 0;
}

• Subtask 1: 30 / 100