Submission #634293

#TimeUsernameProblemLanguageResultExecution timeMemory
634293inksamuraiKlavir (COCI17_klavir)C++17
160 / 160
343 ms33712 KiB
#include <bits/stdc++.h> using namespace std; #define rep(i,n) for(int i=0;i<n;i++) #define rng(i,c,n) for(int i=c;i<n;i++) #define per(i,n) for(int i=n-1;i>=0;i--) #define fi first #define se second #define pb push_back #define sz(a) (int)a.size() #define vec(...) vector<__VA_ARGS__> #define _3PGDklf ios::sync_with_stdio(0),cin.tie(0) typedef long long ll; using pii=pair<int,int>; using vi=vector<int>; void print(){cout<<'\n';} template<class h,class...t> void print(const h&v,const t&...u){cout<<v<<' ',print(u...);} // e //snuke's mod int template <ll mod> struct modint{ ll x; // typedef long long ll; modint(ll x=0):x((x%mod+mod)%mod){} modint operator-()const{return modint(-x);} modint& operator+=(const modint a){if((x+=a.x)>=mod) x-=mod; return *this;} modint& operator-=(const modint a){if((x+=mod-a.x)>=mod) x-=mod; return *this;} modint& operator*=(const modint a){(x*=a.x)%=mod; return *this;} modint operator+(const modint a)const{modint res(*this); return res+=a;} modint operator-(const modint a)const{modint res(*this); return res-=a;} modint operator*(const modint a)const{modint res(*this); return res*=a;} modint pow(ll n)const{ modint res=1,x(*this); while(n){ if(n&1)res*=x; x*=x; n>>=1; } return res; } modint inv()const{return pow(mod-2);} }; using mint=modint<1000000007>; const int _n=1000001; int a[_n],pi[_n]; using pmi=pair<mint,mint>; pmi e[_n]; signed main(){ _3PGDklf; int n,m; cin>>n>>m; rep(i,m){ cin>>a[i]; a[i]-=1; } // e(0)*p.fi+p.se e[0]={1,0}; auto find_link=[&](int i,int ch)->int{ if(!i){ return ch==a[0]; } int j=pi[i-1]; while(j and a[j]!=ch){ j=pi[j-1]; } j+=a[j]==ch; return j; }; rep(i,m){ int u=a[i]; pmi sun={0,0}; if(!i){ rep(v,n){ if(v==u) continue; // if(i==1 and v==a[0]) continue; int nj=find_link(i,v); sun.fi+=e[nj].fi; sun.se+=e[nj].se+1; } }else{ int nj=pi[i-1]; sun.fi=mint(n)*e[nj].fi-e[nj+1].fi; sun.se=mint(n)*e[nj].se-e[nj+1].se-mint(1); // print(e[nj+1].fi.x,e[nj+1].se.x); // if(a[nj+1]!=u){ sun.fi=sun.fi+e[nj+1].fi; sun.se=sun.se+e[nj+1].se+mint(1); // } nj=find_link(i,u); sun.fi-=e[nj].fi; sun.se-=(e[nj].se+mint(1)); // } } // print(i,sun.fi.x,sun.se.x); pmi now; now.fi=mint(n)*e[i].fi-sun.fi; now.se=mint(n)*e[i].se-sun.se-mint(1); e[i+1]=now; mint x=-now.se*now.fi.inv(); cout<<x.x<<" "; if(i>0){ int nj=find_link(i,u); pi[i]=nj; } } }
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