Submission #1118101

#TimeUsernameProblemLanguageResultExecution timeMemory
1118101vjudge1Kangaroo (CEOI16_kangaroo)C++17
100 / 100
37 ms31716 KiB
#pragma GCC optimize("O3")// ceoi 2016 day 1 p2//03:11 11-25-2024
#include<bits/stdc++.h>
#define ll  long long
#define endl "\n"
#define AI ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
using namespace std;
ll dp[2001][2001];
int main()
{
    AI
    //freopen("input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);
    ll n,cs,cf,fixe=0,i,j,mod=1e9+7;
    cin>>n;
    cin>>cs>>cf;
    dp[0][0]=1;
    for(i=1;i<=n;i++)
    {
        if(i==cs or i==cf)
        fixe++;
        for(j=1;j<=n;j++)
        {
            if(i==cs or i==cf)
            {
                dp[i][j]+=dp[i-1][j-1];
                dp[i][j]%=mod;
                dp[i][j]+=dp[i-1][j];
                dp[i][j]%=mod;
            }
            else
            {
                dp[i][j]+=(dp[i-1][j-1]*(j-fixe))%mod;
                dp[i][j]+=(dp[i-1][j+1]*(j))%mod;
                dp[i][j]%=mod;
            }
        }
       // dp[2][1]=1;
      //  cout<<dp[i][1]<<' ';
    }
    cout<<dp[n][1]%mod;

}
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