Cod sursa(job #1487868)

Utilizator DjokValeriu Motroi Djok Data 17 septembrie 2015 15:54:25
Problema Lapte Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.08 kb
#include<bits/stdc++.h>
using namespace std;

typedef struct lol {
    int x,y;
}troll;

int i,st=1,dr=1e4,n,L,a[105],b[105],dp[105][105],aux[105][105],ans;
troll rs[105];

bool Check(int x) {
    int i,j,k;

    for(i=0;i<=n;++i)
     for(j=0;j<=L;++j)
     dp[i][j]=-1e9,aux[i][j]=0;

    for(dp[0][0]=0,i=1;i<=n;++i)
     for(j=0;j<=L;++j)
      for(k=0;k<=j;++k)
      if(x-a[i]*(j-k)>=0 && dp[i][j]<dp[i-1][k]+(x-a[i]*(j-k))/b[i])
      dp[i][j]=dp[i-1][k]+(x-a[i]*(j-k))/b[i],aux[i][j]=k;

    return dp[n][L]>=L;
}

void GetSolution(int x) {
    Check(ans);

    for(int i=n,j=L,k=0;i;--i,j=k)
    k=aux[i][j],rs[i].x=j-k,rs[i].y=dp[i][j]-dp[i-1][k];
}

int main()
{
  ifstream cin("lapte.in");
  ofstream cout("lapte.out");
  ios_base::sync_with_stdio(0); cin.tie(0);

  cin>>n>>L;
  for(i=1;i<=n;++i) cin>>a[i]>>b[i];
 
  while(st<=dr)
  {
    int pivot=(st+dr)/2;
    if(Check(pivot)) ans=pivot,dr=pivot-1;
    else st=pivot+1;
  }

  cout<<ans<<'\n';

  GetSolution(ans);

  for(i=1;i<=n;++i) cout<<rs[i].x<<' '<<rs[i].y<<'\n';

 return 0;
}