Submission #317942

#TimeUsernameProblemLanguageResultExecution timeMemory
317942jainbot27Tents (JOI18_tents)C++17
100 / 100
1780 ms36088 KiB
#include <bits/stdc++.h> using namespace std; #define f first #define s second #define pb push_back #define ar array #define all(x) x.begin(), x.end() #define siz(x) (int)x.size() #define FOR(x, y, z) for(int x = (y); x < (z); x++) #define ROF(x, z, y) for(int x = (y-1); x >= (z); x--) #define F0R(x, z) FOR(x, 0, z) #define R0F(x, z) ROF(x, 0, z) #define trav(x, y) for(auto&x:y) using ll = long long; using vi = vector<int>; using vl = vector<long long>; using pii = pair<int, int>; using vpii = vector<pair<int, int>>; template<class T> inline bool ckmin(T&a, T b) {return b < a ? a = b, 1 : 0;} template<class T> inline bool ckmax(T&a, T b) {return b > a ? a = b, 1 : 0;} mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const char nl = '\n'; const int mxN = 3e3 + 10; const int MOD = 1e9 + 7; const long long infLL = 1e18; int fact[mxN*2]; int add(int x, int y){ x += y; while(x >= MOD) x -= MOD; while(x < 0) x += MOD; return x; } void ad(int &x, int y) {x = add(x, y);} int sub(int x, int y){ x -= y; while(x >= MOD) x -= MOD; while(x < 0) x += MOD; return x; } void sb(int &x, int y) {x = sub(x, y);} int mul(int x, int y){ return ((int64_t)x * (int64_t)y) % MOD; } void ml(int &x, int y) {x = mul(x, y);} int binpow(int x, int y){ int z = 1; while(y > 0) { if(y % 2 == 1) z = mul(z, x); x = mul(x, x); y /= 2; } return z; } int inv(int x){ return binpow(x, MOD - 2); } int divide(int x, int y){ return mul(x, inv(y)); } void precalc(){ fact[0] = 1; for(int i = 1; i < 2*mxN; i++) fact[i] = mul(i, fact[i - 1]); } int choose(int n, int k){ if(k > n) return 0; return divide(fact[n], mul(fact[n - k], fact[k])); } int n, m, ans = 0, dp[mxN][mxN]; int c2(int x){ return mul(x, mul(sub(x,1), inv(2))); } int d(int h, int v){ if(dp[h][v]!=-1) return dp[h][v]; if(h <= 0 || v <= 0) return 1; int res = 0; ad(res, d(h-1, v)); ad(res, mul(4*v, d(h-1, v-1))); ad(res, mul(c2(v), d(h-1, v-2))); ad(res, mul(v, mul(h-1, d(h-2, v-1)))); return dp[h][v] = res; }; int32_t main(){ ios_base::sync_with_stdio(0); cin.tie(0); memset(dp, -1, sizeof dp); cin >> n >> m; cout << sub(d(n, m), 1) << nl; }
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