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Cod sursa(job #823179)
#include <iostream>
#include <fstream>
#include <algorithm>
#include <cstring>
using namespace std;
ifstream fin("lapte.in");
ofstream fout("lapte.out");
int N, L, dp[111][111], v[111][111];
int a[111][2], sol[111][2];
inline bool check(int val)
{
// dp[i][j] = k daca bei j litrii din laptele A poti bea maxim k din laptele B, avand oamenii de la 1 la i
memset(dp, -1, sizeof(dp));
dp[0][0] = 0;
for (int i = 1; i <= N; ++i)
{
for (int j = 0; j <= L; ++j)
{
int lim = j;
if (i == 1) lim = 0;
for (int k = 0; k <= lim; ++k)
{
if ((val - a[i][0] * (j - k)) >= 0)
{
dp[i][j] = max(dp[i][j], dp[i - 1][k] + (val - a[i][0] * (j - k)) / a[i][1]);
}
}
}
}
if (dp[N][L] >= L) return true;
return false;
}
void remake(int val)
{
memset(dp, -1, sizeof(dp));
dp[0][0] = 0;
for (int i = 1; i <= N; ++i)
{
for (int j = 0; j <= L; ++j)
{
int lim = j;
if (i == 1) lim = 0;
for (int k = 0; k <= lim; ++k)
{
if ((val - a[i][0] * (j - k)) >= 0)
{
if (dp[i][j] < dp[i - 1][k] + (val - a[i][0] * (j - k)) / a[i][1])
{
dp[i][j] = dp[i - 1][k] + (val - a[i][0] * (j - k)) / a[i][1];
v[i][j] = k;
}
}
}
}
}
int j = L;
for (int i = N; i >= 1; --i)
{
sol[i][0] = j - v[i][j];
sol[i][1] = (val - (sol[i][0] * a[i][0])) / a[i][1];
j = v[i][j];
}
}
inline int bs()
{
int i = 111, cnt = 1 << 7;
for (; cnt > 0; cnt >>= 1)
{
if (i - cnt > 0)
{
if (check(i - cnt))
{
i -= cnt;
}
}
}
return i;
}
int main()
{
fin >> N >> L;
for (int i = 1; i <= N; ++i)
{
fin >> a[i][0] >> a[i][1];
}
int val = bs();
fout << val << '\n';
remake(val);
for (int i = 1; i <= N; ++i)
{
fout << sol[i][0] << ' ' << sol[i][1] << '\n';
}
fout.close();
return 0;
}