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86 changes: 86 additions & 0 deletions Knapsack.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,86 @@
import java.util.Arrays;

// Recursive O(2^n) time, O(n) space
// class Solution {
// public int knapsack(int W, int val[], int wt[]) {
// return helper(0, val, wt, W);
// }

// public int helper(int i, int[] val, int[] wt, int W) {
// if (i == val.length || i == wt.length) {
// return 0;
// }
// if (W == 0) { // base case
// return 0;
// }

// int pick = 0;
// if (wt[i] <= W) {
// pick = val[i] + helper(i+1, val, wt, W - wt[i]);
// }
// int dontPick = helper(i+1, val, wt, W);

// return Math.max(pick, dontPick);
// }
// }

// Top down memo O(n * W) time, O(n * W) space

// class Solution {
// public int knapsack(int W, int val[], int wt[]) {
// int n = val.length;
// int[][] dp = new int[n + 1][W + 1];
// for (int[] row : dp) {
// Arrays.fill(row, -1);
// }
// return helper(0, val, wt, W, dp);
// }

// public int helper(int i, int[] val, int[] wt, int W, int[][] dp) {
// if (i == val.length || i == wt.length) {
// return 0;
// }
// if (W == 0) { // base case
// return 0;
// }

// if (dp[i][W] != -1) return dp[i][W];

// int pick = 0;
// if (wt[i] <= W) {
// pick = val[i] + helper(i+1, val, wt, W - wt[i], dp);
// }
// int dontPick = helper(i+1, val, wt, W, dp);

// dp[i][W] = Math.max(pick, dontPick);

// return dp[i][W];
// }
// }

// Bottom up tabulation O(n * W) time, O(n * W) space
class Solution {
public int knapsack(int W, int val[], int wt[]) {
int n = val.length;
int[][] dp = new int[n + 1][W + 1];

for (int i = 0; i <= n; i++) {
dp[i][0] = 0;
}
for (int w = 0; w <= W; w++) {
dp[0][w] = 0;
}

for (int i = 1; i <= n; i++) {
for (int w = 1; w <= W; w++) {
if (wt[i-1] <= w) {
dp[i][w] = Math.max(dp[i-1][w], val[i-1] + dp[i-1][w - wt[i-1]]);
}
else {
dp[i][w] = dp[i-1][w];
}
}
}
return dp[n][W];
}
}
Empty file removed Problem1.java
Empty file.
Empty file removed Problem2.java
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18 changes: 18 additions & 0 deletions TwoSum.java
Original file line number Diff line number Diff line change
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import java.util.*;

// O(n) time, O(n) space
class Solution {
public int[] twoSum(int[] nums, int target) {
Map<Integer, Integer> map = new HashMap<>();

for (int i = 0; i < nums.length; i++) {
int complement = target - nums[i];

if (map.containsKey(complement)) {
return new int[] {map.get(complement), i};
}
map.put(nums[i], i);
}
return new int[] {-1, -1};
}
}