結果

問題 No.3712 Urban Train
コンテスト
ユーザー torus711
提出日時 2026-09-11 22:15:51
言語 C++23(gnu拡張gcc16)
(gcc 16.1.0 + boost 1.92.0 + ACL)
コンパイル:
g++-16 -O2 -lm -std=gnu++23 -Wuninitialized -DONLINE_JUDGE -o a.out _filename_
実行:
./a.out
結果
AC  
実行時間 86 ms / 2,000 ms
+ 374µs
コード長 5,343 bytes
記録
記録タグの例:
初AC ショートコード 純ショートコード 純主流ショートコード 最速実行時間
コンパイル時間 1,720 ms
コンパイル使用メモリ 246,920 KB
実行使用メモリ 15,124 KB
最終ジャッジ日時 2026-09-11 22:15:56
合計ジャッジ時間 5,577 ms
ジャッジサーバーID
(参考情報)
judge2_0 / judge3_0
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 39
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 #
raw source code

#include <iostream>
#include <iomanip>
#include <sstream>
#include <vector>
#include <string>
#include <set>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <functional>
#include <iterator>
#include <ranges>
#include <limits>
#include <numeric>
#include <utility>
#include <type_traits>
#include <cmath>
#include <cassert>
#include <cstdio>

using namespace std;
using namespace placeholders;

using LL = long long;
using ULL = unsigned long long;
using VI = vector< int >;
using VVI = vector< vector< int > >;
using VLL = vector< long long >;
using VVLL = vector< vector< long long > >;
template < typename T = int > using VT = vector< T >;
template < typename T = int > using VVT = vector< VT< T > >;
using VS = vector< string >;
using ISS = istringstream;
using OSS = ostringstream;
using PII = pair< int, int >;
using VPII = vector< pair< int, int > >;
template < typename T = int > using WG = std::vector< std::vector< std::pair< int, T > > >;
template < typename T = int > using LIM = numeric_limits< T >;
template < typename T = int > using OSI = ostream_iterator< T >;

template < typename T > inline istream& operator>>( istream &s, vector< T > &v ){ for ( T &t : v ) { s >> t; } return s; }
template < typename T > inline ostream& operator<<( ostream &s, const vector< T > &v ){ for ( int i = 0; i < int( v.size() ); ++i ){ s << ( " " + !i ) << v[i]; } return s; }

void in_impl(){};
template < typename T, typename... TS > void in_impl( T &head, TS &... tail ){ cin >> head; in_impl( tail ... ); }
#define IN( T, ... ) T __VA_ARGS__; in_impl( __VA_ARGS__ );

template < typename T, typename V >
auto make_vector( const int n, const V &v )
{
	return vector< T >( n, v );
}
template < typename T, typename... TS >
auto make_vector( const int n, TS... ts )
{
	return vector< decltype( make_vector< T >( forward< TS >( ts )...) ) >( n, make_vector< T >( forward< TS >( ts )... ) );
}
template < typename T, typename V >
auto make_vector0()
{
	return vector< T >();
}
template < typename T, typename... TS >
auto make_vector0( const int n, TS... ts )
{
	return vector< decltype( make_vector0< T >( forward< TS >( ts )...) ) >( n, make_vector0< T >( forward< TS >( ts )... ) );
}

template < typename T > inline T fromString( const string &s ) { T res; istringstream iss( s ); iss >> res; return res; }
template < typename T > inline string toString( const T &a ) { ostringstream oss; oss << a; return oss.str(); }

#define NUMBERED( name, number ) NUMBERED2( name, number )
#define NUMBERED2( name, number ) name ## _ ## number
#define REP1( n ) REP2( NUMBERED( REP_COUNTER, __LINE__ ), n )
#define REP2( i, n ) REP3( i, 0, n )
#define REP3( i, m, n ) for ( int i = ( int )( m ); i < ( int )( n ); ++i )
#define GET_REP( a, b, c, F, ... ) F
#define REP( ... ) GET_REP( __VA_ARGS__, REP3, REP2, REP1 )( __VA_ARGS__ )
#define FOR( e, c ) for ( auto &&e : c )
template < typename C, typename F > void EACH( C &c, const F &&f ) { std::for_each( std::begin( c ), std::end( c ), f ); }
#define ALL( c ) begin( c ), end( c )
#define AALL( a ) ( remove_all_extents< decltype( a ) >::type * )a, ( remove_all_extents< decltype( a ) >::type * )a + sizeof( a ) / sizeof( remove_all_extents< decltype( a ) >::type )

#define MAP_PRED( c ) transform( begin( c ), end( c ), begin( c ), bind( minus< int >(), _1, 1 ) );

#define SZ( v ) ( (int)( v ).size() )
#define EXISTS( c, e ) ( ( c ).find( e ) != ( c ).end() )

template < typename T > inline bool chmin( T &a, const T &b ){ if ( b < a ) { a = b; return true; } return false; }
template < typename T > inline bool chmax( T &a, const T &b ){ if ( a < b ) { a = b; return true; } return false; }

inline std::string YES( const bool l ){ return l ? "YES" : "Yes"; }
inline std::string NO( const bool l ){ return l ? "NO" : "No"; }
inline std::string YESNO( const bool f, const bool l = false ){ return f ? YES( l ) : NO( l ); }
constexpr char LF = '\n';

#define PB push_back
#define EM emplace
#define EB emplace_back
#define BI back_inserter

#define MP make_pair
#define fst first
#define snd second

#define DUMP( x ) cerr << #x << " = " << ( x ) << endl

//     Λ   Λ__
//  /(*゚ー゚)/\
// /|  ̄U U ̄|\/
//   |      |/

constexpr auto INF = LIM< LL >::max() / 2;

template < typename T >
using minpque = std::priority_queue< T, std::vector< T >, std::greater< T > >;

int main()
{
	cin.tie( nullptr );
	ios::sync_with_stdio( false );
	cout << setprecision( 12 ) << fixed;

	IN( int, N, M );
	WG G( N );
	REP( M )
	{
		IN( int, u, v, w );
		--u, --v;

		G[u].EB( v, w );
		G[v].EB( u, w );
	}
	VI A( N ), B( N ), C( N );
	cin >> A >> B >> C;

	VLL distances( N, INF );
	minpque< pair< LL, int > > que;
	que.EM( distances[0] = 1, 0 );

	while ( !que.empty() )
	{
		const auto [ d, u ] = que.top();
		que.pop();
		if ( distances[u] < d )
		{
			continue;
		}

		for ( const auto &[ v, w ] : G[u] )
		{
			const LL t = d % A[u] == 0 ? d : d + ( A[u] - d % A[u] );
			if ( t / A[u] % B[u] != 0 )
			{
				if ( chmin( distances[v], t + w ) )
				{
					que.EM( distances[v], v );
				}
			}
			else
			{
				if ( chmin( distances[v], min( t + w + C[u], t + A[u] + w ) ) )
				{

					que.EM( distances[v], v );
				}
			}
		}
	}

	cout << distances[ N - 1 ] << endl;

	return 0;
}
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