結果
問題 | No.1334 Multiply or Add |
ユーザー | n_vip |
提出日時 | 2021-01-08 22:29:08 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 95 ms / 2,000 ms |
コード長 | 8,009 bytes |
コンパイル時間 | 1,900 ms |
コンパイル使用メモリ | 141,740 KB |
最終ジャッジ日時 | 2025-01-17 12:46:37 |
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
other | AC * 71 |
ソースコード
// https://codeforces.com/contest/1461/problem/F#include <string>#include <vector>#include<iostream>#include<cstdio>#include<cstdlib>#include<stack>#include<queue>#include<cmath>#include<algorithm>#include<functional>#include<list>#include<deque>#include<bitset>#include<set>#include<map>#include<unordered_map>#include<unordered_set>#include<cstring>#include<sstream>#include<complex>#include<iomanip>#include<numeric>#include<cassert>#include<random>#define X first#define Y second#define pb push_back#define rep(X,Y) for (int (X) = 0;(X) < (int)(Y);++(X))#define reps(X,S,Y) for (int (X) = (int)(S);(X) < (int)(Y);++(X))#define rrep(X,Y) for (int (X) = (int)(Y)-1;(X) >=0;--(X))#define rreps(X,S,Y) for (int (X) = (int)(Y)-1;(X) >= (int)(S);--(X))#define repe(X,Y) for ((X) = 0;(X) < (Y);++(X))#define peat(X,Y) for (;(X) < (Y);++(X))#define all(X) (X).begin(),(X).end()#define rall(X) (X).rbegin(),(X).rend()#define eb emplace_back#define UNIQUE(X) (X).erase(unique(all(X)),(X).end())#define Endl endl#define NL <<"\n"#define cauto const autousing namespace std;using ll=long long;using pii=pair<int,int>;using pll=pair<ll,ll>;template<class T> using vv=vector<vector<T>>;template<class T> inline bool MX(T &l,const T &r){return l<r?l=r,1:0;}template<class T> inline bool MN(T &l,const T &r){return l>r?l=r,1:0;}//#undef NUIP#ifdef NUIP#include "benri.h"#else#define out(args...)#endifvoid ouT(ll x,int d=3){auto re=to_string(x);if((int)re.size()>d) re=x>0?"oo":"-oo";cout<<string(d-re.size(),' ')<<re<<",";}#ifdef __cpp_init_capturestemplate<typename T>vector<T> table(int n, T v){ return vector<T>(n, v);}template <class... Args> auto table(int n, Args... args){auto val = table(args...); return vector<decltype(val)>(n, move(val));}#endiftemplate<class A,class B> pair<A,B> operator+(const pair<A,B> &p,const pair<A,B> &q){ return {p.X+q.X,p.Y+q.Y};}template<class A,class B,class C,class D> pair<A,B>& operator+=(pair<A,B> &p,const pair<C,D> &q){ p.X+=q.X; p.Y+=q.Y; return p;}template<class A,class B> pair<A,B> operator-(const pair<A,B> &p,const pair<A,B> &q){ return {p.X-q.X,p.Y-q.Y};}template<class A,class B,class C,class D> pair<A,B>& operator-=(pair<A,B> &p,const pair<C,D> &q){ p.X-=q.X; p.Y-=q.Y; return p;}template<class A,class B> istream& operator>>(istream &is, pair<A,B> &p){ is>>p.X>>p.Y; return is;}template<class T=ll> T read(){ T re; cin>>re; return move(re);}template<class T=ll> T read(const T &dec){ T re; cin>>re; return re-dec;}template<class T=ll> vector<T> readV(const int sz){ vector<T> re(sz); for(auto &x:re) x=read<T>(); return move(re);}template<class T=ll> vector<T> readV(const int sz, const T &dec){ vector<T> re(sz); for(auto &x:re) x=read<T>(dec); return move(re);}vv<int> readG(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); g[b].pb(a);} return move(g);}vv<int> readG(const int &n){ return readG(n,n-1);}#define TT cauto TTT=read();rep(_,TTT)const ll MOD=1e9+7; //998244353;ll modpow_(ll r,ll n,ll m=MOD){ll re=1,d=r%m;if(n<0)(n%=m-1)+=m-1;for(;n;n/=2){if(n&1)(re*=d)%=m;(d*=d)%=m;}return re;}template <int mod=MOD> struct ModInt{int v;ModInt(int v=0):v(v){}ModInt operator+(const ModInt &n)const{return v+n.v<mod ? v+n.v : v+n.v-mod;}ModInt operator-(const ModInt &n)const{return v-n.v<0 ? v-n.v+mod : v-n.v;}ModInt operator*(const ModInt &n)const{return ll(v)*n.v%mod;}ModInt operator/(const ModInt &n)const{return ll(v)*modpow_(n.v%mod,-1,mod)%mod;}ModInt operator+(const ll &n)const{return v+n<mod ? v+n : v+n-mod;}ModInt operator-(const ll &n)const{return v-n<0 ? v-n+mod : v-n;}ModInt operator*(const ll &n)const{return ll(v)*(n%mod)%mod;}ModInt operator/(const ll &n)const{return ll(v)*modpow_(n%mod,-1,mod)%mod;}ModInt& operator+=(const ModInt &n){v+=n.v; if(v>=mod) v-=mod; return *this;}ModInt& operator-=(const ModInt &n){v-=n.v; if(v<0) v+=mod; return *this;}ModInt& operator*=(const ModInt &n){v=ll(v)*n.v%mod; return *this;}ModInt& operator/=(const ModInt &n){v=ll(v)*modpow_(n.v,-1,mod)%mod; return *this;}ModInt& operator+=(const ll &n){v+=n; if(v>=mod) v-=mod; return *this;}ModInt& operator-=(const ll &n){v-=n; if(v<0) v+=mod; return *this;}ModInt& operator*=(const ll &n){v=ll(v)*n%mod; return *this;}ModInt& operator/=(const ll &n){v=ll(v)*modpow_(n,-1,mod)%mod; return *this;}bool operator==(const ModInt &n)const{return v==n.v;};bool operator!=(const ModInt &n)const{return v!=n.v;};ModInt& operator++(){ return operator+=(1); }ModInt& operator--(){ return operator-=(1); }ModInt operator++(int i){ ModInt tmp(*this); operator++(); return tmp; }ModInt operator--(int i){ ModInt tmp(*this); operator--(); return tmp; }};#ifdef NUIPclass MINT_FRAC____{public:unordered_map<int,pii> dict;MINT_FRAC____(int n){rep(p,n+1)reps(q,1,n+1)if(__gcd(p,q)==1){dict[1ll*p*modpow_(q,-1)%MOD]=pii(p,q);dict[MOD-1ll*p*modpow_(q,-1)%MOD]=pii(-p,q);}}} Il1Il1Il1(1000);template<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){if(Il1Il1Il1.dict.count(n.v)) os<<n.v<<"("<<Il1Il1Il1.dict[n.v].X<<"/"<<Il1Il1Il1.dict[n.v].Y<<")";else os<<n.v;return os;};#elsetemplate<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){return os<<n.v;};#endiftemplate<int mod> ModInt<mod> operator+(const ll &n,const ModInt<mod> &m){return m.v+n<mod ? m.v+n : m.v+n-mod;}template<int mod> ModInt<mod> operator-(const ll &n,const ModInt<mod> &m){return n-m.v<0 ? n-m.v+mod : n-m.v;}template<int mod> ModInt<mod> operator*(const ll &n,const ModInt<mod> &m){return ll(m.v)*(n%mod)%mod;}template<int mod> ModInt<mod> operator/(const ll &n,const ModInt<mod> &m){return ModInt<mod>(n%mod)/m;}typedef ModInt<MOD> mint;template <int mod> ModInt<mod> modpow(ModInt<mod> r,ll n){ ModInt<mod> re(1); if(n<0)(n%=mod-1)+=mod-1; for(;n;n/=2){if(n&1) re*=r; r*=r;} return re;}vector<mint> fact,finv,inv;mint comb(ll n,ll r){ if(n<r||r<0)return 0; return fact[n]*finv[n-r]*finv[r];}class Doralion{void Modinvs(vector<mint> &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i);}void Facts(vector<mint> &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1);}void Factinvs(vector<mint> &re,const vector<mint> &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1];}public:Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n);}} doralion(1123456);using pmm=pair<mint,mint>;mint modpow(ll r,ll n){ return modpow_(r,n);}int main(){ios_base::sync_with_stdio(false); cin.tie(0);cout<<fixed<<setprecision(0);cauto n=read();cauto vs=readV(n,0);cauto s="*+"s;cauto minu=count(all(s),'-');cauto plus=count(all(s),'+');cauto mult=count(all(s),'*');cauto solve=[&](const vector<int> &vs)->mint{if(vs.empty()) return 0;if(count(all(vs),1)==vs.size()){return (mint)vs.size();}ll prod=1;for(cauto v:vs) MN(prod*=v,MOD);if(prod==MOD){mint prod=1;for(cauto v:vs) prod*=v;int l=0;while(vs[l]==1) ++l, prod+=1;int r=vs.size();while(vs[r-1]==1) --r, prod+=1;;return prod;}vector<pll> ps;vector<int> ind;rep(i,vs.size()){cauto v=vs[i];if(ps.empty() || ps.back().X!=(v==1)) ps.eb(v==1,v!=1), ind.eb(i);if(v==1) ++ps.back().Y;else MN(ps.back().Y*=v,MOD);}ind.eb(vs.size());out(ps,ind,1);cauto n=(int)ps.size();vector<pll> dp(n+1);rep(i,n){ll p=1;reps(j,i,n){if(ps[j].X==0) p*=ps[j].Y;MX(dp[j+1],pll(dp[i].X+p,i));}if(ps[i].X) MX(dp[i+1],pll(dp[i].X+ps[i].Y,n));}out(dp,1);mint re=0;for(int i=n;i;){cauto t=dp[i].Y;if(t==n){--i;rep(_,ps[i].Y) re+=1;}else{mint prod=1;rreps(j,ind[t],ind[i]) prod*=vs[j];re+=prod;i=t;}out(i,re,1);}return re;};cout<<solve(vs) NL;return 0;}