結果

問題 No.1545 [Cherry 2nd Tune N] Anthem
ユーザー TKTYI
提出日時 2022-08-15 09:55:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 427 ms / 3,000 ms
コード長 3,126 bytes
コンパイル時間 5,113 ms
コンパイル使用メモリ 273,060 KB
最終ジャッジ日時 2025-01-30 22:40:36
ジャッジサーバーID
（参考情報） 		judge1 / judge1
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ファイルパターン 結果
other AC * 67
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long int ll;
typedef long double ld;
#define FOR(i,l,r) for(ll i=l;i<r;i++)
#define REP(i,n) FOR(i,0,n)
#define RFOR(i,l,r) for(ll i=r-1;i>=l;i--)
#define RREP(i,n) RFOR(i,0,n)
#define ALL(x) x.begin(),x.end()
#define PA pair<ll,ll>
#define F first
#define S second
#define BS(A,x) binary_search(ALL(A),x)
#define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin())
#define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin())
#define COU(A,x) (UB(A,x)-LB(A,x))
#define sz(c) ((ll)(c).size())
/*
#include<boost/multiprecision/cpp_int.hpp>
namespace mp=boost::multiprecision;
using Bint=mp::cpp_int;
*/
template<typename T>using min_priority_queue=priority_queue<T,vector<T>,greater<T>>;
template<typename T1,typename T2>ostream&operator<<(ostream&os,pair<T1,T2>&p){os<<p.F<<" "<<p.S;return os;}
template<typename T1,typename T2>istream&operator>>(istream&is,pair<T1,T2>&p){is>>p.F>>p.S;return is;}
template<typename T>ostream&operator<<(ostream&os,vector<T>&v){REP(i,sz(v))os<<v[i]<<(i+1!=sz(v)?" ":"");return os;}
template<typename T>istream&operator>>(istream&is,vector<T>&v){for(T&in:v)is>>in;return is;}
template<class T>bool chmax(T&a,T b){if(a<b){a=b;return 1;}return 0;}
template<class T>bool chmin(T&a,T b){if(b<a){a=b;return 1;}return 0;}
ld dist(ld x1,ld y1,ld x2,ld y2){return sqrtl((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));}
using mint=modint1000000007;
//using mint=modint998244353;
const ll mod=1000000007;
//const ll mod=998244353;
//using mint=modint;
ostream&operator<<(ostream&os,mint&a){os<<a.val();return os;}
vector<ll>fast_mod_convolution(vector<ll>&a,vector<ll>&b,ll mod){
  const ll m1=167772161,m2=469762049,m3=1224736769;
  const ll m1_inv_m2=inv_mod(m1,m2);
  const ll m12_inv_m3=inv_mod(m1*m2,m3);
  const ll m12_mod=m1*m2%mod;
  auto x=convolution<m1>(a,b);
  auto y=convolution<m2>(a,b);
  auto z=convolution<m3>(a,b);
  vector<ll>ret(sz(a)+1);
  REP(i,sz(a)+1){
    ll v1=(y[i]-x[i])*m1_inv_m2%m2;if(v1<0)v1+=m2;
    ll v2=(z[i]-(x[i]+m1*v1)%m3)*m12_inv_m3%m3;if(v2<0)v2+=m3;
    ret[i]=(x[i]+m1*v1+m12_mod*v2)%mod;
  }
  return ret;
}
int main(){
  ll N,S,T,K;cin>>N>>S>>T>>K;S--;T--;
  vector<ll>X(N);cin>>X;
  ll M;cin>>M;
  vector<vector<PA>>E(N),R(N);
  REP(i,M){
    ll A,B,C;cin>>A>>B>>C;A--;B--;
    E[A].emplace_back(PA(B,C));
    R[B].emplace_back(PA(A,C));
  }
  vector<vector<ll>>D(N,vector<ll>(K+1,1e18));
  vector<vector<PA>>P(N,vector<PA>(K+1));
  D[S][1]=X[S];
  min_priority_queue<pair<ll,PA>>Q;Q.emplace(make_pair(D[S][1],PA(S,1)));
  while(sz(Q)){
    auto q=Q.top();Q.pop();
    ll v=q.S.F,t=q.S.S;
    if(q.F!=D[v][t])continue;
    for(auto[u,c]:E[v])if(chmin(D[u][min(K,t+1)],D[v][t]+c+X[u])){
      Q.emplace(make_pair(D[u][min(K,t+1)],PA(u,min(K,t+1))));
      P[u][min(K,t+1)]=PA(v,t);
    }
  }
  if(D[T][K]==1e18){cout<<"Impossible"<<endl;return 0;}
  cout<<"Possible"<<endl<<D[T][K]<<endl;
  vector<ll>ans={T+1};
  ll v=T,t=K;
  while(v!=S||t!=1){
    auto p=P[v][t];
    v=p.F;t=p.S;
    ans.emplace_back(v+1);
  }
  reverse(ALL(ans));
  cout<<sz(ans)<<endl<<ans<<endl;
  return 0;
}
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