Cod sursa(job #3281264)

Utilizator Cezar2009Cezar Mihai Titihazan Cezar2009 Data 28 februarie 2025 19:48:41
Problema Lapte Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.7 kb
//https://infoarena.ro/problema/lapte
//#pragma GCC optimize ("Ofast")
//#pragma GCC optimize ("fast-math")
//#pragma GCC optimize ("unroll-loops")
//#define _USE_MATH_DEFINES
#include <iostream>
#include <fstream>
//#include <cmath>
//#include <bitset>
#include <vector>
#include <cstring>
//#include <queue>
//#include <utility>
//#include <algorithm>
//#include <string>
//#include <map>
//#include <climits>
//#include <iomanip>
using namespace std;

ifstream fin("lapte.in");
ofstream fout("lapte.out");

vector <pair<int, int>> v;
int d[105][105], rezm[105][105], rezv[105];
int n, l;
bool verif(int mij)
{
	int i, j, k;

	memset(d, -1, sizeof(d));
	d[0][0] = 0;

	for (i = 1; i <= n; ++i)
	{
		for (j = 0; j <= l; ++j)
		{
			for (k = 0; k <= j&& k * v[i].first <= mij; ++k)
			{
				if (d[i - 1][j - k] >= 0)
				{
					int x = d[i - 1][j - k] + (mij - k * v[i].first) / v[i].second;
					if (x > d[i][j])
					{
						d[i][j] = x;
						rezm[i][j] = k;
					}
				}
			}
		}
	}

	return (d[n][l] >= l);
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int i, x, y, rez, sum;

	v.emplace_back(0, 0);
	fin >> n >> l;

	for (i = 1; i <= n; ++i)
	{
		fin >> x >> y;
		v.emplace_back(x, y);
	}

	int st, dr, mij;
	st = 1;
	dr = 105;
	while (st <= dr)
	{
		mij = (st + dr) / 2;
		if (verif(mij))
		{
			dr = mij - 1;
		}
		else
		{
			st = mij + 1;
		}
	}

	rez = dr + 1;
	verif(rez);

	for (i = n, sum = l; i > 0; --i)
	{
		rezv[i] = rezm[i][sum];
		sum -= rezv[i];
	}

	fout << rez << "\n";
	for (i = 1; i <= n; ++i)
	{
		fout << rezv[i] << " " << (rez - rezv[i] * v[i].first) / v[i].second << "\n";
	}

	return 0;
}