Submission #101952

#TimeUsernameProblemLanguageResultExecution timeMemory
101952Rudy420Tents (JOI18_tents)C++17
100 / 100
238 ms71132 KiB
#include <bits/stdc++.h>
using namespace std;
#define x first
#define y second
#define ll long long
#define pi pair<int,int>
#define pl pair<ll,ll>
#define pd pair<double,double>
#define ld long double
#define pld pair<ld,ld>
#define lg length()
#define sz size()
#define vi vector<int>
#define vl vector<ll>
#define vp vector<pi>
#define vpl vector<pl>
#define pb push_back
#define INF 1000000005
#define LINF 1000000000000000005

int n,m;

ll mod=1e9+7,dp[3005][3005];

int32_t main(){
    /*seed_seq seq{
        (uint64_t) chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count(),
        (uint64_t) __builtin_ia32_rdtsc(),
        (uint64_t) (uintptr_t) make_unique<char>().get()
    };
    mt19937 rng(seq);*/
    ios_base :: sync_with_stdio(0); cin.tie(); cout.tie();
#ifdef LOCAL_DEFINE
    ifstream cin("input.in");
#endif

    cin >> n >> m;
    for(int j=0;j<=m;j++) dp[0][j]=1;
    for(int j=0;j<=n;j++) dp[j][0]=1;
    for(int i=1;i<=n;i++){
        for(int j=1;j<=m;j++){
            if(i>1 && j>1) dp[i][j]=dp[i][j-1]+dp[i-1][j-1]*i*4+dp[i-2][j-1]*i*(i-1)/2+dp[i-1][j-2]*i*(j-1);
            else if(i>1)  dp[i][j]=dp[i][j-1]+dp[i-1][j-1]*i*4+dp[i-2][j-1]*i*(i-1)/2;
            else if(j>1) dp[i][j]=dp[i][j-1]+dp[i-1][j-1]*i*4+dp[i-1][j-2]*i*(j-1);
            else dp[i][j]=dp[i][j-1]+dp[i-1][j-1]*i*4;
            dp[i][j]%=mod;
        }
    }
    cout << (dp[n][m]-1+mod)%mod;
}
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