結果
問題 | No.1081 和の和 |
ユーザー | bin101 |
提出日時 | 2020-06-27 14:20:11 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 2 ms / 2,000 ms |
コード長 | 13,461 bytes |
コンパイル時間 | 1,659 ms |
コンパイル使用メモリ | 134,056 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-07-05 09:07:00 |
合計ジャッジ時間 | 2,122 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 2 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
ソースコード
/* vectorの配列を吐き出す関数はvfillと同じ要領で簡潔に書けそう だけど面倒 vfillの範囲指定をできるようにしたい */ #pragma GCC optimize("Ofast") #include <cassert> #include <iostream> #include <cstdio> #include <cstdlib> #include <string> #include <algorithm> #include <queue> #include <vector> #include <bitset> #include <cmath> #include <limits> #include <iostream> #include <map> #include <set> #include <stack> #include <tuple> #include <iomanip> #include <functional> #include <complex> #include <iostream> #include <future> #include <thread> using namespace std; using ll=int_fast64_t; using u64=uint_fast64_t; using pii=pair<int,int>; using pil=pair<int,ll>; using pli=pair<ll,int>; using pll=pair<ll,ll>; using psi=pair<string,int>; using pis=pair<int,string>; using psl=pair<string,ll>; using pls=pair<ll,string>; using pss=pair<string,string>; //辺 fromあり template<typename T > struct Edge { int from, to; T cost; Edge()=default; Edge(int _from, int _to, T _cost) : from(_from), to(_to), cost(_cost) {} inline bool operator<(const Edge p)const noexcept{ return cost<p.cost; } inline bool operator>(const Edge p)const noexcept{ return cost>p.cost; } }; //辺 fromがない template<typename T > struct edge { int to; T cost; edge()=default; edge(int _to, T _cost) : to(_to), cost(_cost) {} }; template<typename T> using edges=vector<edge<T>>; template<typename T> using WeightGraph=vector<edges<T>>; using Graph=vector<vector<int>>; template<class T,class U>inline constexpr bool chmin(T&a,const U b){if(a<=b)return false;a=b;return true;} template<class T,class U>inline constexpr bool chmax(T&a,const U b){if(a>=b)return false;a=b;return true;} #define bit(n,k) ( ( (n)>>(k) )&1 ) inline void bin101(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout<<fixed<<setprecision(20); } //1-indexed vector cin template<typename T> inline void vin1(vector<T> &v){ for(size_t i=1;i<v.size();i++) cin>>v[i]; } //0-indexed vector cin template<typename T> inline void vin0(vector<T> &v){ for(size_t i=0;i<v.size();i++) cin>>v[i]; } //1-indexed vector<vector> cin template<typename T> inline void vin1(vector<vector<T>> &v){ for(size_t i=1;i<v.size();i++){ for(size_t j=1;j<v[i].size();j++) cin>>v[i][j]; } } //0-indexed vector<vector> cin template<typename T> inline void vin0(vector<vector<T>> &v){ for(size_t i=0;i<v.size();i++){ for(size_t j=0;j<v[i].size();j++) cin>>v[i][j]; } } bool DEBUG_MODE=false; #define debug(a) if(DEBUG_MODE){cout<<#a;PRINT(a);cout<<flush;} #define debug2(a,b) if(DEBUG_MODE){debug(a);debug(b);} #define debug3(a,b,c) if(DEBUG_MODE){debug(a);debug(b);debug(c);} #define debug4(a,b,c,d) if(DEBUG_MODE){debug(a);debug(b);debug(c);debug(d);} #define debug5(a,b,c,d,e) if(DEBUG_MODE){debug(a);debug(b);debug(c);debug(d);debug(e);} #define gdebug(x) if(DEBUG_MODE){cout<<#x;GPRINT(x);} template<class T>void PRINT(const T x){cout<<":"<<x<<"\n";} //デバッグ template<typename T> void PRINT(const vector<T> &v,int a=-1){ if(!DEBUG_MODE) return; cout<<":1d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ cout<<i<<":"<<v[i]<<'\n'; } cout<<"\n"; } //デバッグ template<typename T> void PRINT(const vector<vector<T>> &v,int a=-1,int b=-1){ if(!DEBUG_MODE) return; cout<<":2d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ for(size_t j=0;j<v[i].size() and (b<0 or j<=(size_t)b);j++){ cout<<i<<"-"<<j<<":"<<v[i][j]<<"\n"; } } cout<<"\n"; } //デバッグ template<typename T> void PRINT(const vector<vector<vector<T>>> &v,int a=-1,int b=-1,int c=-1){ if(!DEBUG_MODE) return; cout<<":3d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ for(size_t j=0;j<v[i].size() and (b<0 or j<=(size_t)b);j++){ for(size_t k=0;k<v[i][j].size() and (c<0 or k<=(size_t)c);k++){ cout<<i<<"-"<<j<<"-"<<k<<":"<<v[i][j][k]<<"\n"; } } } cout<<"\n"; } //デバッグ template<typename T> void PRINT(const vector<vector<vector<vector<T>>>> &v,int a=-1,int b=-1,int c=-1,int d=-1){ if(!DEBUG_MODE) return; cout<<":4d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ for(size_t j=0;j<v[i].size() and (b<0 or j<=(size_t)b);j++){ for(size_t k=0;k<v[i][j].size() and (c<0 or k<=(size_t)c);k++){ for(size_t l=0;l<v[i][j][k].size() and (d<0 or l<=(size_t)d);l++){ cout<<i<<"-"<<j<<"-"<<k<<"-"<<l<<":"<<v[i][j][k][l]<<"\n"; } } } } cout<<"\n"; } //デバッグ template<typename T> void PRINT(const vector<vector<vector<vector<vector<T>>>>> &v,int a=-1,int b=-1,int c=-1,int d=-1,int e=-1){ if(!DEBUG_MODE) return; cout<<":5d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ for(size_t j=0;j<v[i].size() and (b<0 or j<=(size_t)b);j++){ for(size_t k=0;k<v[i][j].size() and (c<0 or k<=(size_t)c);k++){ for(size_t l=0;l<v[i][j][k].size() and (d<0 or l<=(size_t)d);l++){ for(size_t m=0;m<v[i][j][k][l].size() and (e<0 or m<=(size_t)e);m++){ cout<<i<<"-"<<j<<"-"<<k<<"-"<<l<<"-"<<m<<":"<<v[i][j][k][l][m]<<"\n"; } } } } } cout<<"\n"; } template<typename T> void PRINT(const set<T> &S){ if(!DEBUG_MODE) return; int now=0; for(auto x:S){ cout<<now++<<":"<<x<<"\n"; } } template<typename T,typename U> void PRINT(const map<T,U> &M){ if(!DEBUG_MODE) return; cout<<":map\n"; size_t now=0; for(auto &x:M){ cout<<now++<<":"<<x<<"\n"; } } //デバッグ(グリッド) template<typename T> void GPRINT(const vector<T> &v,int a=-1){ if(!DEBUG_MODE) return; cout<<":1d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ if(i) cout<<","; cout<<v[i]; } } //デバッグ(グリッド) template<typename T> void GPRINT(const vector<vector<T>> &v,int a=-1,int b=-1){ if(!DEBUG_MODE) return; cout<<":2d\n"; for(size_t i=0;i<v.size() and (a<0 or i<=(size_t)a);i++){ for(size_t j=0;j<v[i].size() and (b<0 or j<=(size_t)b);j++){ if(j) cout<<","; cout<<v[i][j]; } cout<<"\n"; } } //pair cout template<typename T, typename U> inline ostream &operator<<(ostream &os,const pair<T,U> &p) { os<<p.first<<" "<<p.second; return os; } //pair cin template<typename T, typename U> inline istream &operator>>(istream &is,pair<T,U> &p) { is>>p.first>>p.second; return is; } //ソート template<typename T> inline void vsort(vector<T> &v){ sort(v.begin(),v.end()); } //逆順ソート template<typename T> inline void rvsort(vector<T> &v){ sort(v.rbegin(),v.rend()); } //要素数n 初期値x template<typename T> inline vector<T> vmake(size_t n,T x){ return vector<T>(n,x); } //a,b,c,x data[a][b][c] 初期値x template<typename... Args> auto vmake(size_t n,Args... args){ auto v=vmake(args...); return vector<decltype(v)>(n,move(v)); } template<typename T,typename... X> inline void vfill(T &t,const X... x){ t=T(x...); } template<typename T,typename... X> void vfill(vector<T> &t,const X... x){ for(auto &s:t) vfill(s,x...); } //最後に改行があるので注意 template<typename T> void vout(const vector<T> &v,string s=" ",size_t f=0,int t=-1){ for(size_t i=f;i<v.size() and(t<0 or i<=(size_t)t);i++){ if(i!=f) cout<<s; cout<<v[i]; } cout<<"\n"; } //最後に改行があるので注意 template<typename T> void vout(const vector<vector<T>> &v,string s=" ",int fh=0,int th=-1,int fw=0,int tw=-1){ for(size_t i=fh;i<v.size() and (th<0 or i<=(size_t)th);i++){ for(size_t j=fw;j<v[i].size() and (tw<0 or j<=(size_t)tw);j++){ if(j!=fw) cout<<s; cout<<v[i][j]; } cout<<"\n"; } } //1ビットの数を返す inline int popcount(int x){ return __builtin_popcount(x); } //1ビットの数を返す inline int popcount(ll x){ return __builtin_popcountll(x); } constexpr int MAX=(1<<30)-1; constexpr ll INF=(1LL<<62)-1; constexpr ll MOD=1e9+7; constexpr int dx[]={1,-1,0,0},dy[]={0,0,-1,1}; //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ struct ModInt{ using u64=uint_fast64_t; u64 a; constexpr ModInt() :a(0){} constexpr ModInt(ll x) :a((x>=0)?(x%MOD):(x%MOD+MOD) ) {} inline constexpr ModInt operator+(const ModInt rhs)const noexcept{ return ModInt(*this)+=rhs; } inline constexpr ModInt operator-(const ModInt rhs)const noexcept{ return ModInt(*this)-=rhs; } inline constexpr ModInt operator*(const ModInt rhs)const noexcept{ return ModInt(*this)*=rhs; } inline constexpr ModInt operator/(const ModInt rhs)const noexcept{ return ModInt(*this)/=rhs; } inline constexpr ModInt operator+(const ll rhs) const noexcept{ return ModInt(*this)+=ModInt(rhs); } inline constexpr ModInt operator-(const ll rhs)const noexcept{ return ModInt(*this)-=ModInt(rhs); } inline constexpr ModInt operator*(const ll rhs)const noexcept{ return ModInt(*this)*=ModInt(rhs); } inline constexpr ModInt operator/(const ll rhs)const noexcept{ return ModInt(*this)/=ModInt(rhs); } inline constexpr ModInt &operator+=(const ModInt rhs)noexcept{ a+=rhs.a; if(a>=MOD) a-=MOD; return *this; } inline constexpr ModInt &operator-=(const ModInt rhs)noexcept{ if(rhs.a>a) a+=MOD; a-=rhs.a; return *this; } inline constexpr ModInt &operator*=(const ModInt rhs)noexcept{ a=(a*rhs.a)%MOD; return *this; } inline constexpr ModInt &operator/=(ModInt rhs)noexcept{ a=(a*rhs.inverse().a)%MOD; return *this; } inline constexpr ModInt &operator+=(const ll rhs)noexcept{ return *this+=ModInt(rhs); } inline constexpr ModInt &operator-=(const ll rhs)noexcept{ return *this-=ModInt(rhs); } inline constexpr ModInt &operator*=(const ll rhs)noexcept{ return *this*=ModInt(rhs); } inline constexpr ModInt &operator/=(const ll rhs)noexcept{ return *this/=ModInt(rhs); } inline constexpr ModInt operator=(const ll x)noexcept{ a=(x>=0)?(x%MOD):(x%MOD+MOD); return *this; } inline constexpr bool operator==(const ModInt p)const noexcept{ return a==p.a; } inline constexpr bool operator!=(const ModInt p)const noexcept{ return a!=p.a; } inline constexpr ModInt pow(ll N) const noexcept{ ModInt ans(1LL),p(a); while(N>0){ if(bit(N,0)){ ans*=p; } p*=p; N>>=1; } return ans; } inline constexpr ModInt inverse() const noexcept{ return pow(MOD-2); } }; inline constexpr ModInt operator+(const ll &a,const ModInt &b)noexcept{ return ModInt(a)+=b; } inline constexpr ModInt operator-(const ll &a,const ModInt &b)noexcept{ return ModInt(a)-=b; } inline constexpr ModInt operator*(const ll &a,const ModInt &b)noexcept{ return ModInt(a)*=b; } inline constexpr ModInt operator/(const ll &a,const ModInt &b)noexcept{ return ModInt(a)/=b; } //cout inline ostream &operator<<(ostream &os,const ModInt &p) { return os<<p.a; } //cin inline istream &operator>>(istream &is,ModInt &p) { ll t; is>>t; p=t; return is; } struct Binominal{ vector<ModInt> fac,finv,inv; //fac[n]:n! finv:(n!)の逆元 int sz; Binominal(int n=10) :sz(1){ if(n<=0) n=10; init(n); } inline void init(int n){ fac.resize(n+1,1); finv.resize(n+1,1); inv.resize(n+1,1); for(int i=sz+1;i<=n;i++){ fac[i]=fac[i-1]*i; inv[i]=MOD-inv[MOD%i]*(MOD/i); finv[i]=finv[i-1]*inv[i]; } sz=n; } //nCk(n,k<=N) をO(1)で求める inline ModInt com(int n,int k){ if(n<k) return ModInt(0); if(n<0 || k<0) return ModInt(0); if(n>sz) init(n); return fac[n]*finv[k]*finv[n-k]; } //nCk(k<=N) をO(k) で求める inline ModInt rcom(ll n,int k){ if(n<0 || k<0 || n<k) return ModInt(0); if(k>sz) init(k); ModInt ret(1); for(int i=0;i<k;i++){ ret*=n-i; } ret*=finv[k]; return ret; } //重複組み合わせ n種類のものから重複を許してk個を選ぶ //〇がn個,|がk個 inline ModInt h(int n,int k){ return com(n+k-1,k); } }; int main(){ DEBUG_MODE=true; bin101(); //+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ int N; cin>>N; vector<ModInt> A(N); vin0(A); vector<ModInt> next(N); for(int i=0;i<N-1;i++){ for(int j=0;j<N-1-i;j++){ next[j]=A[j]+A[j+1]; } A=next; } cout<<A[0]<<endl; }