From 5f113e442ca8a4e0d5e61d9b09eee8e8f7997cee Mon Sep 17 00:00:00 2001
From: kalyan <kalyan.ng22@gmail.com>
Date: Mon, 6 Oct 2025 18:25:09 -0500
Subject: [PATCH] Competitive coding solutions

---
 Problem1.java | 25 ++++++++++++++
 Problem2.java | 90 +++++++++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 115 insertions(+)

diff --git a/Problem1.java b/Problem1.java
index 8b137891..61961243 100644
--- a/Problem1.java
+++ b/Problem1.java
@@ -1 +1,26 @@
+// Time Complexity : O(log n) as it's binary search.
+// Space Complexity : O(1)
+// Did this code successfully run on Leetcode : Yes
+// Any problem you faced while coding this : Not much, I was intially thinking of array.length/2 and checking with mid to see which side
+// of the array to go ahead with. But later realized it wont work always and got a suggestion to use indexes. One I considered index, it
+//was a straight forward binary search.
 
+// Your code here along with comments explaining your approach
+
+
+class Solution {
+    int missingNumber(int arr[]) {
+        // code here
+        int low = 0;
+        int high = arr.length - 1;
+        while(low<=high){
+            int mid = low + (high-low)/2;
+            if(arr[mid] == mid+1){ //right part from mid
+                low = mid+1;
+            }else{ //left part from mids
+                high = mid-1;
+            }
+        }
+        return low+1;
+    }
+}
diff --git a/Problem2.java b/Problem2.java
index 8b137891..8eb4fe05 100644
--- a/Problem2.java
+++ b/Problem2.java
@@ -1 +1,91 @@
+// Time Complexity : insert and extract are O(log n).
+// Space Complexity : O(n)
+// Did this code successfully run on Leetcode : Yes
+// Approach : In min heap, the root node is smaller than or equal to the child nodes. In the insert function, we add the new element
+// to the end of the array and then bubble up comparing with nodes and so on. In extractMin function, we remove the 0th element as it
+// will be minimum always, assign the last value of array and heapify down the tree by comparing the values.
 
+// Your code here along with comments explaining your approach
+
+
+
+public class MinHeap {
+    private int[] heap;
+    private int size;
+    private int capacity;
+
+    public MinHeap(int capacity) {
+        this.capacity = capacity;
+        this.heap = new int[capacity];
+        this.size = 0;
+    }
+
+    private int parent(int i) { return (i - 1) / 2; }
+    private int left(int i) { return 2 * i + 1; }
+    private int right(int i) { return 2 * i + 2; }
+
+    private void swap(int i, int j) {
+        int temp = heap[i];
+        heap[i] = heap[j];
+        heap[j] = temp;
+    }
+
+    // Insert new value
+    public void insert(int val) {
+        if (size == capacity) return;
+        heap[size] = val;
+        int current = size;
+        size++;
+
+        // Bubble up
+        while (current > 0 && heap[current] < heap[parent(current)]) {
+            swap(current, parent(current));
+            current = parent(current);
+        }
+    }
+
+    // Extract the smallest element (root)
+    public int extractMin() {
+        if (size == 0) return -1;
+        int min = heap[0]; //0th is minimum
+        heap[0] = heap[size - 1];
+        size--;
+        heapifyDown(0);
+        return min;
+    }
+
+    private void heapifyDown(int i) {
+        int smallest = i;
+        int left = left(i);
+        int right = right(i);
+
+        if (left < size && heap[left] < heap[smallest])
+            smallest = left;
+        if (right < size && heap[right] < heap[smallest])
+            smallest = right;
+
+        if (smallest != i) {
+            swap(i, smallest);
+            heapifyDown(smallest); //continue the swapping logic
+        }
+    }
+
+    public void printHeap() {
+        for (int i = 0; i < size; i++) {
+            System.out.print(heap[i] + " ");
+        }
+        System.out.println();
+    }
+
+    // Test
+    public static void main(String[] args) {
+        MinHeap heap = new MinHeap(10);
+        heap.insert(5);
+        heap.insert(3);
+        heap.insert(8);
+        heap.insert(1);
+        heap.printHeap(); // may print like: 1 3 8 5 (heap order, not sorted)
+        System.out.println("Extract Min: " + heap.extractMin()); // 1
+        heap.printHeap(); // heap rearranged
+    }
+}