Submission #57629

#TimeUsernameProblemLanguageResultExecution timeMemory
57629BenqTents (JOI18_tents)C++14
100 / 100
315 ms36032 KiB

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)

#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;

int dp[3001][3001];

int ad(int a, int b) { return (a+b)%MOD; }
int mul(int a, int b) { return (ll)a*b%MOD; }

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    F0R(i,3001) dp[i][0] = dp[0][i] = 1;
    FOR(x,1,3001) FOR(y,1,3001) { // rows, cols
        if (y > 1) dp[x][y] = ad(dp[x][y],mul(y*(y-1)/2,dp[x-1][y-2]));
        if (x > 1) dp[x][y] = ad(dp[x][y],mul((x-1)*y,dp[x-2][y-1]));
        dp[x][y] = ad(dp[x][y],mul(4*y,dp[x-1][y-1]));
        dp[x][y] = ad(dp[x][y],dp[x-1][y]);
    }
    int a,b; cin >> a >> b; 
    cout << (dp[a][b]+MOD-1)%MOD;
}

/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( ) 
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
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