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‎Heap.ipynb

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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "9b055156",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, None, None, None, None, None, None, None, None, None]\n"
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]
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}
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],
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"source": [
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"heap = [None]*10\n",
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"print(heap)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "fb9a5fc9",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, 19, 7, 17, 3, 5, 12, 10, 1, 2]\n"
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]
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}
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],
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"source": [
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"heap[1] = 19\n",
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"heap[1*2] = 7\n",
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"heap[1*2+1] = 17\n",
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"heap[2*2] = 3\n",
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"heap[2*2+1] = 5\n",
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"heap[3*2] = 12\n",
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"heap[3*2+1] = 10\n",
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"heap[4*2] = 1\n",
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"heap[4*2+1] = 2\n",
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"print(heap)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "a5f62588",
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"metadata": {},
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"outputs": [],
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"source": [
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"def left(i):\n",
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" return i*2\n",
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"def right(i):\n",
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" return i*2+1\n",
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"def parent(i):\n",
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" return i//2"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "42afc7e8",
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"metadata": {},
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"outputs": [],
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"source": [
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"def is_max_heap(h):\n",
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" n = len(h) - 1\n",
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" for i in range(n,1,-1):\n",
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" p = parent(i)\n",
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" if h[i] > h[p]:\n",
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" return False\n",
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" return True"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "9c2fcb6c",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, 19, 7, 17, 3, 5, 12, 10, 1, 2] True\n",
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"[None, 1, 2, 3] False\n"
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]
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}
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],
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"source": [
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"if __name__ == \"__main__\":\n",
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" h = [None,19,7,17,3,5,12,10,1,2]\n",
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" print(h, is_max_heap(h))\n",
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" h = [None,1,2,3]\n",
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" print(h, is_max_heap(h))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "ee834f06",
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"metadata": {},
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"outputs": [],
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"source": [
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"def max_heapify(heap,heap_size,i):\n",
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" l = left(i)\n",
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" r = right(i)\n",
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" if l <= heap_size and heap[l] > heap[i]:\n",
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" largest = l\n",
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" else:\n",
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" largest = i\n",
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" if r <= heap_size and heap[r] > heap[largest]:\n",
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" largest = r\n",
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" \n",
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" if largest == i:\n",
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" return\n",
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" heap[i], heap[largest] = heap[largest], heap[i]\n",
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" max_heapify(heap,heap_size,largest)\n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "f81ac0d8",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, 19, 7, 12, 3, 5, 17, 10, 1, 2]\n",
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"[None, 19, 7, 17, 3, 5, 12, 10, 1, 2]\n",
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"\n",
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"[None, 1, 2, 3]\n",
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"[None, 3, 2, 1]\n"
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]
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}
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],
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"source": [
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"if __name__ == \"__main__\":\n",
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" h = [None,19,7,12,3,5,17,10,1,2]\n",
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" print(h)\n",
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" max_heapify(h,9,3)\n",
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" print(h)\n",
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" print()\n",
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" h = [None,1,2,3]\n",
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" print(h)\n",
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" max_heapify(h,3,1)\n",
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" print(h)\n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "40483dbe",
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"metadata": {},
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"outputs": [],
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"source": [
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"def build_max_heap(h):\n",
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" heap_size = len(h)-1\n",
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" \n",
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" for i in range(heap_size//2, 0, -1):\n",
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" max_heapify(h, heap_size,i)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"id": "42a8e6e9",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Before building heap [None, 12, 7, 1, 3, 10, 17, 19, 2, 5]\n",
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"After building heap [None, 19, 10, 17, 5, 7, 12, 1, 2, 3]\n"
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]
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}
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],
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"source": [
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"if __name__ == \"__main__\":\n",
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" h = [None,12,7,1,3,10,17,19,2,5]\n",
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" print(\"Before building heap\",h)\n",
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" build_max_heap(h)\n",
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" print(\"After building heap\",h)\n",
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"\n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "dbbf88ec",
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"metadata": {},
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"outputs": [],
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"source": [
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"def heap_delete(h,num):\n",
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" size = len(h)-1\n",
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" last_heap = h[size]\n",
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" for i in range(1, size):\n",
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" if num == h[i]:\n",
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" break\n",
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" h[i],h[size] = h[size],h[i]\n",
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" h.remove(num)\n",
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" for i in range((size//2)-1,1,-1):\n",
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" max_heapify(h,size,i)\n",
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" return h"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "c3f1c615",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, 19, 7, 17, 3, 5, 12, 2, 1]\n"
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]
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}
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],
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"source": [
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"if __name__ == \"__main__\":\n",
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" h = [None,19,7,12,3,5,17,10,1,2]\n",
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" heap_delete(h,10)\n",
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" print(h)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"id": "07c187ba",
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"metadata": {},
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"outputs": [],
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"source": [
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"def heap_sort(h):\n",
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" build_max_heap(h)\n",
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" print(h)\n",
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" heap_size = len(h)-1\n",
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" \n",
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" for i in range(heap_size,1,-1):\n",
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" h[1], h[heap_size] = h[heap_size], h[1]\n",
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" heap_size -= 1\n",
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" max_heapify(h,heap_size,i)\n",
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" print(\"sorting...\",h)\n",
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" \n",
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" \n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"id": "bac192d7",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[None, 19, 7, 17, 3, 5, 12, 10, 1, 2]\n",
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"sorting... [None, 2, 7, 17, 3, 5, 12, 10, 1, 19]\n",
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"sorting... [None, 1, 7, 17, 3, 5, 12, 10, 2, 19]\n",
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"sorting... [None, 10, 7, 17, 3, 5, 12, 1, 2, 19]\n",
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"sorting... [None, 12, 7, 17, 3, 5, 10, 1, 2, 19]\n",
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"sorting... [None, 5, 7, 17, 3, 12, 10, 1, 2, 19]\n",
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"sorting... [None, 3, 7, 17, 5, 12, 10, 1, 2, 19]\n",
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"sorting... [None, 17, 7, 3, 5, 12, 10, 1, 2, 19]\n",
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"sorting... [None, 7, 17, 3, 5, 12, 10, 1, 2, 19]\n",
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"[None, 7, 17, 3, 5, 12, 10, 1, 2, 19]\n"
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]
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}
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],
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"source": [
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"if __name__ == \"__main__\":\n",
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" h = [None,19,7,12,3,5,17,10,1,2]\n",
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" heap_sort(h)\n",
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" print(h)\n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "fc923f37",
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.9.7"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}

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