NYOJ289 Apple "01 Backpack"

Apple time limit: theMs | Memory Limit:65535KB Difficulty:3

Describe

CTest has n apples to put into a backpack with a capacity of V. Give the size and price of the first Apple, and find out the total price of the apples that can be put into the backpack.

Input

There are several sets of test data, the first behavior of each group of test data 2 positive integers, respectively, the number of apples is n and the capacity of the backpack V,n, v at the same time to end the test at 0 o'clock, not output. The next n lines, 2 positive integers per line, are separated by a space, representing the size C and the price W of the apples, respectively. The range of all input numbers is greater than or equal to 0, less than or equal to 1000.

Output

output An integer for each set of test data, representing the total value of the apple that can be put into the backpack.

Sample input

3 31 12 13 10 0

Sample output

2

Source

The

Classic problem of dynamic programming

#include <stdio.h> #include <string.h> #define MAXN 1010int dp[maxn];int max (int a, int b) {return a > B? a : b;}  int main () {int V, n, c, W, I, J;while (scanf ("%d%d", &n, &v), n | v) {memset (DP, 0, sizeof (int) * (v + 1)); for (i = 0; I < n; ++i) {scanf ("%d%d", &c, &w); for (j = v; j >= C;--j) dp[j] = max (Dp[j], Dp[j-c] + W);} printf ("%d\n", Dp[v]);} return 0;}

NYOJ289 Apple "01 Backpack"