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Perform Insert, delMin and getMin operations on a Min Heap. Implement Min Heaps and avoid using inbuilt library.Input FormatFirst line of input contains T - number of operations. Its followed by T lines, each line contains either "insert x" or "delMin" or "getMin".Constraints1 <= T <= 106-109 <= x <= 109Output FormatFor each "getMin" operation, print the minimum element, separated by newline. If the heap is empty, print "Empty".Sample Input 010insert 5getMindelMingetMininsert -15insert 10insert -30getMindelMingetMinSample Output 05Empty-30-15Explanation 0Self Explanatory

Question

Perform Insert, delMin and getMin operations on a Min Heap. Implement Min Heaps and avoid using inbuilt library.Input FormatFirst line of input contains T - number of operations. Its followed by T lines, each line contains either "insert x" or "delMin" or "getMin".Constraints1 <= T <= 106-109 <= x <= 109Output FormatFor each "getMin" operation, print the minimum element, separated by newline. If the heap is empty, print "Empty".Sample Input 010insert 5getMindelMingetMininsert -15insert 10insert -30getMindelMingetMinSample Output 05Empty-30-15Explanation 0Self Explanatory

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Solution

The problem is asking to implement a Min Heap data structure and perform the following operations:

  1. insert x: Insert an element x into the Min Heap.
  2. delMin: Delete the minimum element from the Min Heap.
  3. getMin: Get the minimum element from the Min Heap.

Here is a Python solution using a list to implement the Min Heap:

import heapq

T = int(input())
heap = []

for _ in range(T):
    operation = input().split()
    
    if operation[0] == "insert":
        heapq.heappush(heap, int(operation[1]))
    elif operation[0] == "delMin":
        if heap:
            heapq.heappop(heap)
        else:
            print("Empty")
    elif operation[0] == "getMin":
        if heap:
            print(heap[0])
        else:
            print("Empty")

This solution uses the heapq module in Python which provides an implementation of the heap queue algorithm, also known as the priority queue algorithm. The heappush function is used to insert an element into the heap maintaining the heap invariant. The heappop function is used to delete the smallest element from the heap. If the heap is empty and we try to delete or get the minimum element, we print "Empty".

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