|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 102, |
| 6 | + "metadata": {}, |
| 7 | + "outputs": [], |
| 8 | + "source": [ |
| 9 | + "from typing import List\n", |
| 10 | + "\n", |
| 11 | + "class Solution:\n", |
| 12 | + " def circularGameLosers(self, n: int, k: int) -> List[int]:\n", |
| 13 | + " d = {i:0 for i in range(1, n+1)}\n", |
| 14 | + " d[1] = 1\n", |
| 15 | + " holding = 1\n", |
| 16 | + " i = 1\n", |
| 17 | + " while True:\n", |
| 18 | + " if d[holding] > 1: break\n", |
| 19 | + " holding = (holding+(i*k))%n\n", |
| 20 | + " if holding==0:\n", |
| 21 | + " d[n]+=1\n", |
| 22 | + " holding = n\n", |
| 23 | + " else:\n", |
| 24 | + " d[holding]+=1\n", |
| 25 | + " i+=1\n", |
| 26 | + " return sorted([k for k,v in d.items() if v==0])\n", |
| 27 | + " " |
| 28 | + ] |
| 29 | + }, |
| 30 | + { |
| 31 | + "cell_type": "code", |
| 32 | + "execution_count": 103, |
| 33 | + "metadata": {}, |
| 34 | + "outputs": [ |
| 35 | + { |
| 36 | + "data": { |
| 37 | + "text/plain": [ |
| 38 | + "[3]" |
| 39 | + ] |
| 40 | + }, |
| 41 | + "execution_count": 103, |
| 42 | + "metadata": {}, |
| 43 | + "output_type": "execute_result" |
| 44 | + } |
| 45 | + ], |
| 46 | + "source": [ |
| 47 | + "n = 5; k = 2\n", |
| 48 | + "n = 4; k = 4\n", |
| 49 | + "n = 1; k = 1\n", |
| 50 | + "n = 3; k = 1\n", |
| 51 | + "Solution().circularGameLosers(n,k)" |
| 52 | + ] |
| 53 | + }, |
| 54 | + { |
| 55 | + "cell_type": "code", |
| 56 | + "execution_count": 151, |
| 57 | + "metadata": {}, |
| 58 | + "outputs": [], |
| 59 | + "source": [ |
| 60 | + "class Solution:\n", |
| 61 | + " def doesValidArrayExist(self, derived: List[int]) -> bool:\n", |
| 62 | + " n = len(derived)\n", |
| 63 | + " original = [0] * n\n", |
| 64 | + " for i in range(n):\n", |
| 65 | + " if i == n - 1:\n", |
| 66 | + " original[i] = derived[i] ^ derived[0]\n", |
| 67 | + " else:\n", |
| 68 | + " original[i] = derived[i] ^ derived[i + 1]\n", |
| 69 | + " return original, derived\n", |
| 70 | + " for i in original:\n", |
| 71 | + " if i == 0 or i == 1:\n", |
| 72 | + " continue\n", |
| 73 | + " else:\n", |
| 74 | + " return False\n", |
| 75 | + " return True" |
| 76 | + ] |
| 77 | + }, |
| 78 | + { |
| 79 | + "cell_type": "code", |
| 80 | + "execution_count": 156, |
| 81 | + "metadata": {}, |
| 82 | + "outputs": [ |
| 83 | + { |
| 84 | + "data": { |
| 85 | + "text/plain": [ |
| 86 | + "([0, 0], [1, 1])" |
| 87 | + ] |
| 88 | + }, |
| 89 | + "execution_count": 156, |
| 90 | + "metadata": {}, |
| 91 | + "output_type": "execute_result" |
| 92 | + } |
| 93 | + ], |
| 94 | + "source": [ |
| 95 | + "derived = [1,1]\n", |
| 96 | + "#derived = [1,1,0]\n", |
| 97 | + "#derived = [1,0]\n", |
| 98 | + "Solution().doesValidArrayExist(derived)" |
| 99 | + ] |
| 100 | + }, |
| 101 | + { |
| 102 | + "cell_type": "code", |
| 103 | + "execution_count": 211, |
| 104 | + "metadata": {}, |
| 105 | + "outputs": [], |
| 106 | + "source": [ |
| 107 | + "from functools import cache\n", |
| 108 | + "\n", |
| 109 | + "class Solution:\n", |
| 110 | + " def maxMoves(self, grid):\n", |
| 111 | + " m,n = len(grid), len(grid[0])\n", |
| 112 | + " \n", |
| 113 | + " @cache\n", |
| 114 | + " def dfs(row, col):\n", |
| 115 | + " max_len = 0\n", |
| 116 | + " for dr in [-1, 0, 1]:\n", |
| 117 | + " adj_row = row + dr\n", |
| 118 | + " adj_col = col + 1\n", |
| 119 | + " if 0 <= adj_row < m and 0 <= adj_col < n and grid[adj_row][adj_col] > grid[row][col]:\n", |
| 120 | + " max_len = max(max_len, dfs(adj_row, adj_col) + 1)\n", |
| 121 | + "\n", |
| 122 | + " return max_len\n", |
| 123 | + "\n", |
| 124 | + " \n", |
| 125 | + " return max(dfs(row, 0) for row in range(m))\n", |
| 126 | + " " |
| 127 | + ] |
| 128 | + }, |
| 129 | + { |
| 130 | + "cell_type": "code", |
| 131 | + "execution_count": 213, |
| 132 | + "metadata": {}, |
| 133 | + "outputs": [ |
| 134 | + { |
| 135 | + "data": { |
| 136 | + "text/plain": [ |
| 137 | + "3" |
| 138 | + ] |
| 139 | + }, |
| 140 | + "execution_count": 213, |
| 141 | + "metadata": {}, |
| 142 | + "output_type": "execute_result" |
| 143 | + } |
| 144 | + ], |
| 145 | + "source": [ |
| 146 | + "grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]]\n", |
| 147 | + "#grid = [[3,2,4],[2,1,9],[1,1,7]]\n", |
| 148 | + "Solution().maxMoves(grid)" |
| 149 | + ] |
| 150 | + }, |
| 151 | + { |
| 152 | + "cell_type": "code", |
| 153 | + "execution_count": null, |
| 154 | + "metadata": {}, |
| 155 | + "outputs": [], |
| 156 | + "source": [] |
| 157 | + }, |
| 158 | + { |
| 159 | + "cell_type": "code", |
| 160 | + "execution_count": null, |
| 161 | + "metadata": {}, |
| 162 | + "outputs": [], |
| 163 | + "source": [] |
| 164 | + }, |
| 165 | + { |
| 166 | + "cell_type": "code", |
| 167 | + "execution_count": 205, |
| 168 | + "metadata": {}, |
| 169 | + "outputs": [], |
| 170 | + "source": [ |
| 171 | + "class Solution:\n", |
| 172 | + " def countCompleteComponents(self, n: int, edges: List[List[int]]) -> int:\n", |
| 173 | + " \n", |
| 174 | + " graph = [[] for _ in range(n)]\n", |
| 175 | + " visited = [False] * n\n", |
| 176 | + " components = 0\n", |
| 177 | + "\n", |
| 178 | + " # Build the adjacency list representation of the graph\n", |
| 179 | + " for edge in edges:\n", |
| 180 | + " u, v = edge\n", |
| 181 | + " graph[u].append(v)\n", |
| 182 | + " graph[v].append(u)\n", |
| 183 | + "\n", |
| 184 | + " def dfs(node):\n", |
| 185 | + " visited[node] = True\n", |
| 186 | + " for neighbor in graph[node]:\n", |
| 187 | + " if not visited[neighbor]:\n", |
| 188 | + " dfs(neighbor)\n", |
| 189 | + "\n", |
| 190 | + " for node in range(n):\n", |
| 191 | + " if not visited[node]:\n", |
| 192 | + " dfs(node)\n", |
| 193 | + " components += 1\n", |
| 194 | + "\n", |
| 195 | + " return components" |
| 196 | + ] |
| 197 | + }, |
| 198 | + { |
| 199 | + "cell_type": "code", |
| 200 | + "execution_count": 206, |
| 201 | + "metadata": {}, |
| 202 | + "outputs": [ |
| 203 | + { |
| 204 | + "data": { |
| 205 | + "text/plain": [ |
| 206 | + "2" |
| 207 | + ] |
| 208 | + }, |
| 209 | + "execution_count": 206, |
| 210 | + "metadata": {}, |
| 211 | + "output_type": "execute_result" |
| 212 | + } |
| 213 | + ], |
| 214 | + "source": [ |
| 215 | + "n = 6; edges = [[0,1],[0,2],[1,2],[3,4],[3,5]]\n", |
| 216 | + "#n = 6; edges = [[0,1],[0,2],[1,2],[3,4]]\n", |
| 217 | + "Solution().countCompleteComponents(n,edges)" |
| 218 | + ] |
| 219 | + } |
| 220 | + ], |
| 221 | + "metadata": { |
| 222 | + "kernelspec": { |
| 223 | + "display_name": "base", |
| 224 | + "language": "python", |
| 225 | + "name": "python3" |
| 226 | + }, |
| 227 | + "language_info": { |
| 228 | + "codemirror_mode": { |
| 229 | + "name": "ipython", |
| 230 | + "version": 3 |
| 231 | + }, |
| 232 | + "file_extension": ".py", |
| 233 | + "mimetype": "text/x-python", |
| 234 | + "name": "python", |
| 235 | + "nbconvert_exporter": "python", |
| 236 | + "pygments_lexer": "ipython3", |
| 237 | + "version": "3.9.13" |
| 238 | + }, |
| 239 | + "orig_nbformat": 4 |
| 240 | + }, |
| 241 | + "nbformat": 4, |
| 242 | + "nbformat_minor": 2 |
| 243 | +} |
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