Submission #888126

#TimeUsernameProblemLanguageResultExecution timeMemory
888126vjudge1Tents (JOI18_tents)C++17
100 / 100
61 ms72284 KiB
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("O3,unroll-loops") // #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") // Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv typedef long long ll; typedef pair<ll, ll> pll; typedef pair<int, int> pii; #define Mp make_pair #define sep ' ' #define endl '\n' #define F first #define S second #define pb push_back #define all(x) (x).begin(),(x).end() #define kill(res) cout << res << '\n', exit(0); #define set_dec(x) cout << fixed << setprecision(x); #define fast_io ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0); #define file_io freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout); mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const ll N = 3e3 + 50; const ll Mod = 1e9 + 7; ll n, m, dp[N][N], inv2; ll power(ll a, ll b, ll md = Mod){ ll ans = 1; for(; b; b /= 2, a = a * a % md){ if(b % 2) ans = ans * a % md; } return ans; } ll c2(ll x){ return x * (x-1) % Mod * inv2 % Mod; } int main(){ fast_io; inv2 = power(2, Mod-2); cin >> n >> m; dp[0][0] = 1; for(int i = 1; i <= n; i++) dp[i][0] = 1; for(int j = 1; j <= m; j++) dp[0][j] = 1; for(int i = 1; i <= n; i++){ for(int j = 1; j <= m; j++){ dp[i][j] = (dp[i-1][j] + 4 * dp[i-1][j-1] * j) % Mod; if(i > 1) dp[i][j] = (dp[i][j] + dp[i-2][j-1] * j * (i-1)) % Mod; if(j > 1) dp[i][j] = (dp[i][j] + dp[i-1][j-2] * c2(j)) % Mod; } } cout << (dp[n][m] - 1 + Mod) % Mod; }
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