Submission #72567585

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Source Code Expand

#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 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;

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

	IN( int, N, M );
	VI P( N ), V( N );
	REP( i, N )
	{
		cin >> P[i] >> V[i];
	}

	static LL dp1[ 1 << 10 ][ 1 << 16 ], dp2[ 1 << 10 ][ 1 << 16 ];
	fill( AALL( dp2 ), -INF );
	fill( AALL( dp2 ), -INF );
	// dp[ # of considered ][ sum of P_i ] := max sum V
	dp1[0][0] = dp2[N][0] = 0;
	REP( i, N )
	{
		REP( j, M + 1 )
		{
			chmax( dp1[ i + 1 ][j], dp1[i][j] );
			if ( j + P[i] <= M )
			{
				chmax( dp1[ i + 1 ][ j + P[i] ], dp1[i][j] + V[i] );
			}
		}
	}
	for ( int i = N; 0 < i; --i )
	{
		REP( j, M + 1 )
		{
			chmax( dp2[ i - 1 ][j], dp2[i][j] );
			if ( j + P[ i - 1 ] <= M )
			{
				chmax( dp2[ i - 1 ][ j + P[ i - 1 ] ], dp2[i][j] + V[ i - 1 ] );
			}
		}
	}

// 	REP( i, N + 1 )
// 	{
// 		REP( j, M )
// 		{
// 			chmax( dp1[i][ j + 1 ], dp1[i][j] );
// 			chmax( dp2[i][ j + 1 ], dp2[i][j] );
// 		}
// 	}

	const LL ma = *max_element( begin( dp1[N] ), begin( dp1[N] ) + M + 1 );

	string res( N, '-' );
	REP( i, N )
	{
		bool inc = false, exc = false;
		REP( j, M - P[i] + 1 )
		{
			inc |= dp1[i][j] + dp2[ i + 1 ][ M - P[i] - j ] + V[i] == ma;
		}
		REP( j, M + 1 )
		{
			exc |= dp1[i][j] + dp2[ i + 1 ][ M - j ] == ma;
		}

		if ( inc && !exc )
		{
			res[i] = 'A';
		}
		else if ( inc && exc )
		{
			res[i] = 'B';
		}
		else
		{
			res[i] = 'C';
		}
	}

	cout << res << endl;

	return 0;
}

Submission Info

Judge Result