11517 - Exact Change/c.cpp

   1 /*
   2   Problem: 11517 - Exact Change
   3   Author: Andrés Mejía-Posada
   4   (http://blogaritmo.factorcomun.org)
   5
   6     Too much memory and too slow.
   7  */
   8
   9 using namespace std;
  10 #include <algorithm>
  11 #include <iostream>
  12 #include <iterator>
  13 #include <sstream>
  14 #include <fstream>
  15 #include <cassert>
  16 #include <climits>
  17 #include <cstdlib>
  18 #include <cstring>
  19 #include <string>
  20 #include <cstdio>
  21 #include <vector>
  22 #include <cmath>
  23 #include <queue>
  24 #include <deque>
  25 #include <stack>
  26 #include <map>
  27 #include <set>
  28
  29 #define D(x) cout << #x " is " << x << endl
  30
  31 const int S = 10005, N = 105, oo = INT_MAX / 4;
  32
  33 int dp[N][S*N], c[N];
  34
  35 int main(){
  36
  37   int C;
  38   cin >> C;
  39   while (C--){
  40
  41     int price;
  42     cin >> price;
  43
  44     int n;
  45     cin >> n;
  46
  47     int sum = 0;
  48     c[0] = oo; // Don't fuck
  49
  50     for (int i=1; i<=n; ++i){
  51       cin >> c[i];
  52       sum += c[i];
  53     }
  54
  55     //sum = min(sum, price);
  56
  57     dp[0][0] = 0;
  58     for (int j=1; j <= sum; ++j) dp[0][j] = oo;
  59
  60     for (int i=1; i<=n; ++i){
  61       for (int j=0; j<=sum; ++j){
  62         dp[i][j] = dp[i-1][j];
  63         if (j - c[i] >= 0){
  64           dp[i][j] = min(dp[i][j], dp[i-1][j-c[i]] + 1);
  65         }
  66       }
  67     }
  68
  69     /*
  70     for (int i=0; i<=n; ++i){
  71       for (int j=0; j<=sum; ++j){
  72         printf("%10d ", dp[i][j]);
  73       }
  74       puts("");
  75     }
  76     */
  77
  78     for (int j=price; /*j <= sum*/; ++j){
  79       if (dp[n][j] < oo){
  80         cout << j << " " << dp[n][j] << endl;
  81         break;
  82       }
  83     }
  84
  85   }
  86
  87   return 0;
  88 }