|
| 1 | +# Binary Search |
| 2 | + |
| 3 | +def binarySearch(num,arr): |
| 4 | + beg = 0 |
| 5 | + end = len(arr)-1 |
| 6 | + while(beg<=end): |
| 7 | + mid = (beg+end)//2 |
| 8 | + if(arr[mid]==num): |
| 9 | + return mid |
| 10 | + elif(arr[mid]>num): |
| 11 | + end = mid - 1 |
| 12 | + else: |
| 13 | + beg = mid + 1 |
| 14 | + return -1 |
| 15 | + |
| 16 | +#Binary Search Using Recursion |
| 17 | + |
| 18 | +def binarySearch(num,arr,beg,end): |
| 19 | + if(beg>end): |
| 20 | + print("NOT FOUND") |
| 21 | + return |
| 22 | + mid = (beg + end)//2 |
| 23 | + if(arr[mid]==num): |
| 24 | + print("FOUND AT ",mid) |
| 25 | + elif(arr[mid]>num): |
| 26 | + binarySearch(num,arr,beg,mid-1) |
| 27 | + else: |
| 28 | + binarySearch(num,arr,mid+1,end) |
| 29 | + |
| 30 | + |
| 31 | +# Bubble Sort |
| 32 | + |
| 33 | +def bubbleSort(arr): |
| 34 | + for i in range(0,len(arr)-1): |
| 35 | + for j in range(0,len(arr)-i-1): |
| 36 | + if(arr[j+1]<arr[j]): |
| 37 | + (arr[j],arr[j+1])=(arr[j+1],arr[j]) |
| 38 | + |
| 39 | +arr=[5,1,4,2,8,9] |
| 40 | +bubbleSort(arr) |
| 41 | +print(arr) |
| 42 | + |
| 43 | + |
| 44 | +#insetion sort |
| 45 | + |
| 46 | +def insertionSort(arr): |
| 47 | + for i in range(1,len(arr)): |
| 48 | + pos = i |
| 49 | + while(pos>0 and arr[pos-1]>arr[pos]): |
| 50 | + (arr[pos-1],arr[pos])=(arr[pos],arr[pos-1]) |
| 51 | + pos=pos-1 |
| 52 | +arr=[5,1,4,2,8,9] |
| 53 | +insertionSort(arr) |
| 54 | +print(arr) |
| 55 | + |
| 56 | + |
| 57 | +# Selection Sort |
| 58 | + |
| 59 | +def selectionSort(arr): |
| 60 | + for i in range(len(arr)): |
| 61 | + minpos = i |
| 62 | + for j in range(i,len(arr)): |
| 63 | + if(arr[j]<arr[minpos]): |
| 64 | + minpos=j |
| 65 | + (arr[i],arr[minpos])=(arr[minpos],arr[i]) |
| 66 | + |
| 67 | +arr=[5,1,4,2,8,9] |
| 68 | +selectionSort(arr) |
| 69 | +print(arr) |
| 70 | + |
| 71 | + |
| 72 | +#Quick Sort Choosing Pivot as the Last Element |
| 73 | + |
| 74 | +def partition(arr,low,high): |
| 75 | + i = low - 1 |
| 76 | + pivot = arr[high] |
| 77 | + for j in range(low,high): |
| 78 | + if(arr[j]<=pivot): |
| 79 | + i=i+1 |
| 80 | + (arr[i],arr[j])=(arr[j],arr[i]) |
| 81 | + (arr[i+1],arr[high])=(arr[high],arr[i+1]) |
| 82 | + return i+1 |
| 83 | +def quickSort(arr,low,high): |
| 84 | + if(low<high): |
| 85 | + part = partition(arr,low,high) |
| 86 | + quickSort(arr,low,part-1) |
| 87 | + quickSort(arr,part+1,high) |
| 88 | +arr=[2,1,3,4,4,0,9] |
| 89 | +quickSort(arr,0,len(arr)-1) |
| 90 | +print(arr) |
| 91 | + |
| 92 | + |
| 93 | + |
| 94 | +# QuickSort |
| 95 | + |
| 96 | +def quickSort(arr,low,high): |
| 97 | + if(low<high): |
| 98 | + i=low |
| 99 | + j=low+1 |
| 100 | + while(j<=high): |
| 101 | + if(arr[j]<=arr[low]): |
| 102 | + i=i+1 |
| 103 | + (arr[j],arr[i])=(arr[i],arr[j]) |
| 104 | + j=j+1 |
| 105 | + (arr[i],arr[low])=(arr[low],arr[i]) |
| 106 | + part = i |
| 107 | + quickSort(arr,low,part-1) |
| 108 | + quickSort(arr,part+1,high) |
| 109 | +arr=[2,1,3,4,4,0,9,-2,-1] |
| 110 | +quickSort(arr,0,len(arr)-1) |
| 111 | +print(arr) |
| 112 | + |
| 113 | + |
| 114 | +#Quick Sort Choosing Pivot as the Last Element |
| 115 | + |
| 116 | +def partition(arr,low,high): |
| 117 | + i=low |
| 118 | + j=low+1 |
| 119 | + while(j<=high): |
| 120 | + if(arr[j]<=arr[low]): |
| 121 | + i=i+1 |
| 122 | + (arr[j],arr[i])=(arr[i],arr[j]) |
| 123 | + j=j+1 |
| 124 | + (arr[i],arr[low])=(arr[low],arr[i]) |
| 125 | + return i |
| 126 | +def quickSort(arr,low,high): |
| 127 | + if(low<high): |
| 128 | + part = partition(arr,low,high) |
| 129 | + quickSort(arr,low,part-1) |
| 130 | + quickSort(arr,part+1,high) |
| 131 | +arr=[2,1,3,4,4,0,9] |
| 132 | +quickSort(arr,0,len(arr)-1) |
| 133 | +print(arr) |
| 134 | + |
| 135 | + |
| 136 | +#Merge Sort |
| 137 | + |
| 138 | +def merge(arr,beg,mid,end): |
| 139 | + i=beg |
| 140 | + j=mid+1 |
| 141 | + temp = [] |
| 142 | + while(i<=mid and j<=end): |
| 143 | + if(arr[i]>=arr[j]): |
| 144 | + temp.append(arr[j]) |
| 145 | + j=j+1 |
| 146 | + if(arr[j]>arr[i]): |
| 147 | + temp.append(arr[i]) |
| 148 | + i=i+1 |
| 149 | + if(i>mid): |
| 150 | + while(j<=end): |
| 151 | + temp.append(arr[j]) |
| 152 | + j=j+1 |
| 153 | + if(j>end): |
| 154 | + while(i<=mid): |
| 155 | + temp.append(arr[i]) |
| 156 | + i=i+1 |
| 157 | + k=0 |
| 158 | + for i in range(beg,end+1): |
| 159 | + arr[i] = temp[k] |
| 160 | + k=k+1 |
| 161 | +def mergesort(arr,beg,end): |
| 162 | + if(beg<end): |
| 163 | + mid = (beg+end)//2 |
| 164 | + mergesort(arr,beg,mid) |
| 165 | + mergesort(arr,mid+1,end) |
| 166 | + merge(arr,beg,mid,end) |
| 167 | + |
| 168 | +arr=[2,1,3,4,4,0,9] |
| 169 | +mergesort(arr,0,len(arr)-1) |
| 170 | +print(arr) |
| 171 | + |
| 172 | + |
| 173 | +# BFS |
| 174 | + |
| 175 | +def bfs(arr,start): |
| 176 | + visited = [] |
| 177 | + parent=[] |
| 178 | + q=[] |
| 179 | + for i in range(len(arr)): |
| 180 | + visited.append(start) |
| 181 | + visited[start]=1 |
| 182 | + parent.append(-1) |
| 183 | + q.append(start) |
| 184 | + while(len(q)!=0): |
| 185 | + j = q.pop(0) |
| 186 | + print(j," -->") |
| 187 | + for k in range(len(arr[j])): |
| 188 | + if(visited[arr[j][k]]==0): |
| 189 | + visited[arr[j][k]]=1 |
| 190 | + parent[arr[j][k]]=j |
| 191 | + q.append(arr[j][k]) |
| 192 | + |
| 193 | + |
| 194 | +# DFS |
| 195 | + |
| 196 | +n=int(input("Enter Number of Nodes :")) |
| 197 | +arr=[] |
| 198 | +for i in range(n): |
| 199 | + l=[int(x) for x in input().split()] |
| 200 | + arr.append(l) |
| 201 | +visited = [0]*n |
| 202 | +parent = [-1]*n |
| 203 | +def dfs(start): |
| 204 | + visited[start] = 1 |
| 205 | + print(start) |
| 206 | + for i in range(len(arr[start])): |
| 207 | + if(visited[arr[start][i]]==0): |
| 208 | + parent[arr[start][i]] = start |
| 209 | + dfs(arr[start][i]) |
| 210 | +dfs(0) |
| 211 | + |
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