hdu2602 Bone Collector-01背包问题
Problem Description
Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …
The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the maximum of the total value the bone collector can get ?
Input
The first line contain a integer T , the number of cases.
Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third line contain N integers representing the volume of each bone.
Output
One integer per line representing the maximum of the total value (this number will be less than 231).
Sample Input
1
5 10
1 2 3 4 5
5 4 3 2 1
Sample Output
14
解題思路:
就是01背包問題!
代碼如下:
#include <iostream> #include <cstring> #include <algorithm> using namespace std; const int N = 1010; int dp[N][N]; int n, V;struct BONE {int val;int vol; } bone[N];int ans() {memset(dp, 0, sizeof(dp));for (int i = 1; i <= n; i++)for (int j = 0; j <= V; j++) {if (bone[i].vol > j)dp[i][j] = dp[i - 1][j];else {dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - bone[i].vol] + bone[i].val);}}return dp[n][V]; }int main() {int cnt;cin >> cnt;while (cnt--) {cin >> n >> V;for (int i = 1; i <= n; i++)cin >> bone[i].val;for (int i = 1; i <= n; i++)cin >> bone[i].vol;cout << ans() << endl;}return 0; }總結
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