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36 changes: 36 additions & 0 deletions Problem1.java
Original file line number Diff line number Diff line change
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import java.util.Arrays;

public class Problem1 {
public static void main(String[] args) {
int[] val = {1, 2, 3};
int[] wt = {4, 5, 1};
int maxWt = 4;
int[][] memo = new int[val.length][maxWt + 1];
for (int[] row : memo) {
Arrays.fill(row, -1);
}
System.out.println(recur(val, wt, maxWt, 0, 0, memo));
}

private static int recur(int[] val, int[] wt, int maxWt, int index, int totalWt, int[][] memo) {
if (index == val.length || totalWt == maxWt) {
return 0;
}

if (memo[index][totalWt] != -1) {
return memo[index][totalWt];
}

if (totalWt + wt[index] > maxWt) {
memo[index][totalWt] = recur(val, wt, maxWt, index + 1, totalWt, memo);
return memo[index][totalWt];
}

memo[index][totalWt] = Math.max(
recur(val, wt, maxWt, index + 1, totalWt, memo),
recur(val, wt, maxWt, index + 1, totalWt + wt[index], memo) + val[index]
);

return memo[index][totalWt];
}
}