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81 changes: 81 additions & 0 deletions minheap.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,81 @@
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, 2, 3, 17, 10, 84, 19, 6, 22, 9]:
heap.insert(val)

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

# TC - O(logn)
# SC - O(n)
19 changes: 19 additions & 0 deletions missingnuminarr.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
def search(ar):
a = 0
b = len(ar) - 1

while (b - a) > 1:
mid = (a + b) // 2
if (ar[a] - a) != (ar[mid] - mid):
b = mid
elif (ar[b] - b) != (ar[mid] - mid):
a = mid

return ar[a] + 1

# Driver code
ar = [1, 2, 3, 4, 7, 6, 8]
print("Missing number:", search(ar))

# TC - O(logn)
# SC - O(1)