Submission #456275

#TimeUsernameProblemLanguageResultExecution timeMemory
456275DaktoTents (JOI18_tents)C++17
100 / 100
1801 ms35756 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <ext/pb_ds/detail/standard_policies.hpp> using namespace std; using namespace __gnu_pbds; #define DEBUGMODE 1 #ifdef ONLINE_JUDGE #define DEBUGMODE 0 #endif #define cerr if(DEBUGMODE) cerr #define DEBUG(a) if(DEBUGMODE) cout<<(a)<<endl #define REP(i,n) for(int i=0; i<(n); i++) #define REPR(i, begin, end) for (__typeof(end) i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end))) #define EACH(i,c) for(auto (i):c) #define endl '\n' #define ff first #define ss second #define all(x) begin(x), end(x) #define LLM LONG_LONG_MAX #define gcd __gcd #define pb push_back #define pm make_pair #define MANY_TESTS ll ntests; cin>>ntests; for(ll test=1; test<=ntests; test++) #define contains(a,b) ((a).find(b)!=(a).end()) #define INF 1e16 #define NINF -1e16 #define cinv(n,v) ll n; cin>>n; vl v(n); cin>>v; #define fact(f,n) vl f={0}; for(ll i=0; i<n; i++) f.push_back(f[i]*(i+1)); #define codejamout(s) cout<<"Case #"<<test<<": "<<s<<"\n"; #define LOG(x) cerr<<"Line "<<__LINE__<<":"<<#x<<" = "<<x<<endl; typedef long long ll; typedef long double ld; typedef pair<ll,ll> pll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<pair<ll,ll>> vpll; typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set; const ll MOD=1e9+7; template <class T, class U> ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "(" << par.first << ";" << par.second << ")"; return out;} template <class T> ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; } template <class T, class U> ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; } template<class T> ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;} // istreams template<class T> istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; } template<class T, class U> istream& operator>>(istream& in, pair<T, U> &p){ in >> p.ff >> p.ss; return in; } template<typename T> pair<T, ll> get_min(vector<T> &v){ typename vector<T> :: iterator it = min_element(v.begin(), v.end()); return {*it, it - v.begin()};} template<typename T> pair<T, ll> get_max(vector<T> &v){ typename vector<T> :: iterator it = max_element(v.begin(), v.end()); return {*it, it - v.begin()};} template<class T> bool remin(T& a, const T& b){return (b<a?a=b,1:0);} template<class T> bool remax(T& a, const T& b){return (a<b?a=b,1:0);} ll getbit(ll number, ll index){return (number & (1<<index))<<index;} template <int MOD=1'000'000'007> struct ModInt { int value; static const int MOD_value = MOD; ModInt(long long v = 0) { value = v % MOD; if (value < 0) value += MOD;} ModInt(long long a, long long b) : value(0){ *this += a; *this /= b;} ModInt& operator+=(ModInt const& b) {value += b.value; if (value >= MOD) value -= MOD; return *this;} ModInt& operator-=(ModInt const& b) {value -= b.value; if (value < 0) value += MOD;return *this;} ModInt& operator*=(ModInt const& b) {value = (long long)value * b.value % MOD;return *this;} friend ModInt mexp(ModInt a, long long e) { ModInt res = 1; while (e) { if (e&1) res *= a; a *= a; e >>= 1; } return res; } friend ModInt inverse(ModInt a) { return mexp(a, MOD - 2); } ModInt& operator/=(ModInt const& b) { return *this *= inverse(b); } friend ModInt operator+(ModInt a, ModInt const b) { return a += b; } friend ModInt operator-(ModInt a, ModInt const b) { return a -= b; } friend ModInt operator-(ModInt const a) { return 0 - a; } friend ModInt operator*(ModInt a, ModInt const b) { return a *= b; } friend ModInt operator/(ModInt a, ModInt const b) { return a /= b; } friend std::ostream& operator<<(std::ostream& os, ModInt const& a) {return os << a.value;} friend bool operator==(ModInt const& a, ModInt const& b) {return a.value == b.value;} friend bool operator!=(ModInt const& a, ModInt const& b) {return a.value != b.value;} }; int main(){ cin.tie(NULL); cout.tie(NULL); ios_base::sync_with_stdio(false); ll h,w; cin>>h>>w; vector<vector<ModInt<>>> dp(w+5,vector<ModInt<>>(h+5,0)); dp[0][0]=1; REP(i,w+1){ REP(j,h+1){ dp[i+1][j]+=dp[i][j]; dp[i+1][j+2]+=dp[i][j]*(h-j)*(h-j-1)/2; dp[i+1][j+1]+=dp[i][j]*(h-j)*4; dp[i+2][j+1]+=dp[i][j]*(h-j)*(i+1); } } ll res=0; REPR(i,1,h+1){ res+=dp[w][i].value; } cout<<res%MOD<<endl; return 0; }
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