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21 changes: 21 additions & 0 deletions Problem1.py
Original file line number Diff line number Diff line change
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# Find missing number in an array

# Input : arr[] = [1, 2, 3, 5, 6, 7, 8]
# Input : arr[] = [1, 2, 4, 5, 6, 7, 8, 9]


def searchMissingElement(li):
low = 0
high = len(li) - 1
while low <= high:
mid = (low + high) // 2
if li[mid] == (mid + 1):
# missing element in right side of array
low = mid + 1
else:
high = mid - 1
return low + 1


li = [1, 2, 3, 5, 6, 7, 8]
print(searchMissingElement(li))
79 changes: 79 additions & 0 deletions Problem2.py
Original file line number Diff line number Diff line change
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class MyMinHeap:
def __init__(self, capacity):
self.maxSize = capacity
self.size = 0
self.heap = [0] * capacity

def parent(self, i):
return (i - 1) // 2

def leftChild(self, i):
return 2 * i + 1

def rightChild(self, i):
return 2 * i + 2

def isLeaf(self, i):
return i >= self.size // 2 and i < self.size

def swap(self, i, j):
self.heap[i], self.heap[j] = self.heap[j], self.heap[i]

def heapify(self, i):
if self.isLeaf(i):
return

left = self.leftChild(i)
right = self.rightChild(i)
smallest = i

if left < self.size and self.heap[left] < self.heap[smallest]:
smallest = left
if right < self.size and self.heap[right] < self.heap[smallest]:
smallest = right

if smallest != i:
self.swap(i, smallest)
self.heapify(smallest)

def insert(self, val):
if self.size >= self.maxSize:
return

self.heap[self.size] = val
current = self.size
self.size += 1

while current > 0 and self.heap[current] < self.heap[self.parent(current)]:
self.swap(current, self.parent(current))
current = self.parent(current)

def removeMin(self):
if self.size == 0:
return -1

min_val = self.heap[0]
self.heap[0] = self.heap[self.size - 1]
self.size -= 1
self.heapify(0)
return min_val

def printHeap(self):
for i in range((self.size - 2) // 2 + 1):
print(f"PARENT: {self.heap[i]}", end="")
if self.leftChild(i) < self.size:
print(f" LEFT: {self.heap[self.leftChild(i)]}", end="")
if self.rightChild(i) < self.size:
print(f" RIGHT: {self.heap[self.rightChild(i)]}", end="")
print()


# Main driver
if __name__ == "__main__":
heap = MyMinHeap(15)
for val in [5, 3, 17, 10, 84, 19, 6, 22, 9]:
heap.insert(val)

print("Min Heap:")
heap.printHeap()
print("Removed Min:", heap.removeMin())