|
| 1 | +## 1. Brute Force |
| 2 | + |
| 3 | +::tabs-start |
| 4 | + |
| 5 | +```python |
| 6 | +class Solution: |
| 7 | + def anagramMappings(self, nums1: List[int], nums2: List[int]) -> List[int]: |
| 8 | + # List to store the anagram mappings. |
| 9 | + mappings = [0] * len(nums1) |
| 10 | + |
| 11 | + for i in range(len(nums1)): |
| 12 | + for j in range(len(nums2)): |
| 13 | + # Store the corresponding index of number in the second list. |
| 14 | + if nums1[i] == nums2[j]: |
| 15 | + mappings[i] = j |
| 16 | + break |
| 17 | + |
| 18 | + return mappings |
| 19 | +``` |
| 20 | + |
| 21 | +```java |
| 22 | +class Solution { |
| 23 | + public int[] anagramMappings(int[] nums1, int[] nums2) { |
| 24 | + // List to store the anagram mappings. |
| 25 | + int[] mappings = new int[nums1.length]; |
| 26 | + |
| 27 | + for (int i = 0; i < nums1.length; i++) { |
| 28 | + for (int j = 0; j < nums2.length; j++) { |
| 29 | + // Store the corresponding index of number in the second list. |
| 30 | + if (nums1[i] == nums2[j]) { |
| 31 | + mappings[i] = j; |
| 32 | + break; |
| 33 | + } |
| 34 | + } |
| 35 | + } |
| 36 | + return mappings; |
| 37 | + } |
| 38 | +} |
| 39 | +``` |
| 40 | + |
| 41 | +```cpp |
| 42 | +class Solution { |
| 43 | +public: |
| 44 | + vector<int> anagramMappings(vector<int>& nums1, vector<int>& nums2) { |
| 45 | + // List to store the anagram mappings. |
| 46 | + vector<int> mappings; |
| 47 | + |
| 48 | + for (int num : nums1) { |
| 49 | + for (int i = 0; i < nums2.size(); i++) { |
| 50 | + // Store the corresponding index of number in the second list. |
| 51 | + if (num == nums2[i]) { |
| 52 | + mappings.push_back(i); |
| 53 | + break; |
| 54 | + } |
| 55 | + } |
| 56 | + } |
| 57 | + return mappings; |
| 58 | + } |
| 59 | +}; |
| 60 | +``` |
| 61 | +
|
| 62 | +```javascript |
| 63 | +class Solution { |
| 64 | + /** |
| 65 | + * @param {number[]} nums1 |
| 66 | + * @param {number[]} nums2 |
| 67 | + * @return {number[]} |
| 68 | + */ |
| 69 | + anagramMappings(nums1, nums2) { |
| 70 | + // Array to store the anagram mappings. |
| 71 | + const mappings = new Array(nums1.length); |
| 72 | + |
| 73 | + for (let i = 0; i < nums1.length; i++) { |
| 74 | + for (let j = 0; j < nums2.length; j++) { |
| 75 | + // Store the corresponding index of number in the second array. |
| 76 | + if (nums1[i] === nums2[j]) { |
| 77 | + mappings[i] = j; |
| 78 | + break; |
| 79 | + } |
| 80 | + } |
| 81 | + } |
| 82 | + return mappings; |
| 83 | + } |
| 84 | +} |
| 85 | +``` |
| 86 | + |
| 87 | +::tabs-end |
| 88 | + |
| 89 | +### Time & Space Complexity |
| 90 | + |
| 91 | +- Time complexity: $O(N^2)$ |
| 92 | +- Space complexity: $O(1)$ constant space |
| 93 | + |
| 94 | +> Where $N$ is the number of integers in the list `nums1` and `nums2`. |
| 95 | + |
| 96 | +--- |
| 97 | + |
| 98 | +## 2. HashMap |
| 99 | + |
| 100 | +::tabs-start |
| 101 | + |
| 102 | +```python |
| 103 | +class Solution: |
| 104 | + def anagramMappings(self, nums1: List[int], nums2: List[int]) -> List[int]: |
| 105 | + # Store the index corresponding to the value in the second list. |
| 106 | + valueToPos = {} |
| 107 | + for i in range(len(nums2)): |
| 108 | + valueToPos[nums2[i]] = i |
| 109 | + |
| 110 | + # List to store the anagram mappings. |
| 111 | + mappings = [0] * len(nums1) |
| 112 | + for i in range(len(nums1)): |
| 113 | + mappings[i] = valueToPos[nums1[i]] |
| 114 | + |
| 115 | + return mappings |
| 116 | +``` |
| 117 | +
|
| 118 | +```java |
| 119 | +class Solution { |
| 120 | + public int[] anagramMappings(int[] nums1, int[] nums2) { |
| 121 | + // Store the index corresponding to the value in the second list. |
| 122 | + HashMap<Integer,Integer> valueToPos = new HashMap<>(); |
| 123 | + for (int i = 0; i < nums2.length; i++) { |
| 124 | + valueToPos.put(nums2[i], i); |
| 125 | + } |
| 126 | +
|
| 127 | + // List to store the anagram mappings. |
| 128 | + int[] mappings = new int[nums1.length]; |
| 129 | + for (int i = 0; i < nums1.length; i++) { |
| 130 | + mappings[i] = valueToPos.get(nums1[i]); |
| 131 | + } |
| 132 | +
|
| 133 | + return mappings; |
| 134 | + } |
| 135 | +} |
| 136 | +``` |
| 137 | + |
| 138 | +```cpp |
| 139 | +class Solution { |
| 140 | +public: |
| 141 | + vector<int> anagramMappings(vector<int>& nums1, vector<int>& nums2) { |
| 142 | + // Store the index corresponding to the value in the second list. |
| 143 | + unordered_map<int, int> valueToPos; |
| 144 | + for (int i = 0; i < nums2.size(); i++) { |
| 145 | + valueToPos[nums2[i]] = i; |
| 146 | + } |
| 147 | + |
| 148 | + // List to store the anagram mappings. |
| 149 | + vector<int> mappings; |
| 150 | + for (int num : nums1) { |
| 151 | + mappings.push_back(valueToPos[num]); |
| 152 | + } |
| 153 | + |
| 154 | + return mappings; |
| 155 | + } |
| 156 | +}; |
| 157 | +``` |
| 158 | +
|
| 159 | +```javascript |
| 160 | +class Solution { |
| 161 | + /** |
| 162 | + * @param {number[]} nums1 |
| 163 | + * @param {number[]} nums2 |
| 164 | + * @return {number[]} |
| 165 | + */ |
| 166 | + anagramMappings(nums1, nums2) { |
| 167 | + // Store the index corresponding to the value in the second list. |
| 168 | + const valueToPos = new Map(); |
| 169 | + for (let i = 0; i < nums2.length; i++) { |
| 170 | + valueToPos.set(nums2[i], i); |
| 171 | + } |
| 172 | +
|
| 173 | + // List to store the anagram mappings. |
| 174 | + const mappings = new Array(nums1.length); |
| 175 | + for (let i = 0; i < nums1.length; i++) { |
| 176 | + mappings[i] = valueToPos.get(nums1[i]); |
| 177 | + } |
| 178 | +
|
| 179 | + return mappings; |
| 180 | + } |
| 181 | +} |
| 182 | +``` |
| 183 | + |
| 184 | +::tabs-end |
| 185 | + |
| 186 | +### Time & Space Complexity |
| 187 | + |
| 188 | +- Time complexity: $O(N)$ |
| 189 | +- Space complexity: $O(N)$ |
| 190 | + |
| 191 | +> Where $N$ is the number of integers in the list `nums1` and `nums2`. |
| 192 | + |
| 193 | +--- |
| 194 | + |
| 195 | +## 3. Bit Manipulation + Sorting |
| 196 | + |
| 197 | +::tabs-start |
| 198 | + |
| 199 | +```python |
| 200 | +class Solution: |
| 201 | + def anagramMappings(self, nums1: List[int], nums2: List[int]) -> List[int]: |
| 202 | + bitsToShift = 7 |
| 203 | + numToGetLastBits = (1 << bitsToShift) - 1 |
| 204 | + |
| 205 | + # Store the index within the integer itself. |
| 206 | + for i in range(len(nums1)): |
| 207 | + nums1[i] = (nums1[i] << bitsToShift) + i |
| 208 | + nums2[i] = (nums2[i] << bitsToShift) + i |
| 209 | + |
| 210 | + # Sort both lists so that the original integers end up at the same index. |
| 211 | + nums1.sort() |
| 212 | + nums2.sort() |
| 213 | + |
| 214 | + # List to store the anagram mappings. |
| 215 | + mappings = [0] * len(nums1) |
| 216 | + |
| 217 | + for i in range(len(nums1)): |
| 218 | + # Store the index in the second list corresponding to the integer index in the first list. |
| 219 | + mappings[nums1[i] & numToGetLastBits] = (nums2[i] & numToGetLastBits) |
| 220 | + |
| 221 | + return mappings |
| 222 | +``` |
| 223 | +
|
| 224 | +```java |
| 225 | +class Solution { |
| 226 | + final int bitsToShift = 7; |
| 227 | + final int numToGetLastBits = (1 << bitsToShift) - 1; |
| 228 | +
|
| 229 | + public int[] anagramMappings(int[] nums1, int[] nums2) { |
| 230 | + // Store the index within the integer itself. |
| 231 | + for (int i = 0; i < nums1.length; i++) { |
| 232 | + nums1[i] = (nums1[i] << bitsToShift) + i; |
| 233 | + nums2[i] = (nums2[i] << bitsToShift) + i; |
| 234 | + } |
| 235 | +
|
| 236 | + // Sort both lists so that the original integers end up at the same index. |
| 237 | + Arrays.sort(nums1); |
| 238 | + Arrays.sort(nums2); |
| 239 | +
|
| 240 | + // List to store the anagram mappings. |
| 241 | + int[] mappings = new int[nums1.length]; |
| 242 | + for (int i = 0; i < nums1.length; i++) { |
| 243 | + // Store the index in the second list corresponding to the integer index in the first list. |
| 244 | + mappings[nums1[i] & numToGetLastBits] = (nums2[i] & numToGetLastBits); |
| 245 | + } |
| 246 | +
|
| 247 | + return mappings; |
| 248 | + } |
| 249 | +} |
| 250 | +``` |
| 251 | + |
| 252 | +```cpp |
| 253 | +class Solution { |
| 254 | +public: |
| 255 | + const int bitsToShift = 7; |
| 256 | + const int numToGetLastBits = (1 << bitsToShift) - 1; |
| 257 | + |
| 258 | + vector<int> anagramMappings(vector<int>& nums1, vector<int>& nums2) { |
| 259 | + // Store the index within the integer itself. |
| 260 | + for (int i = 0; i < nums1.size(); i++) { |
| 261 | + nums1[i] = (nums1[i] << bitsToShift) + i; |
| 262 | + nums2[i] = (nums2[i] << bitsToShift) + i; |
| 263 | + } |
| 264 | + |
| 265 | + // Sort both lists so that the original integers end up at the same index. |
| 266 | + sort(nums1.begin(), nums1.end()); |
| 267 | + sort(nums2.begin(), nums2.end()); |
| 268 | + |
| 269 | + // List to store the anagram mappings. |
| 270 | + vector<int> mappings(nums1.size()); |
| 271 | + for (int i = 0; i < nums1.size(); i++) { |
| 272 | + // Store the index in the second list corresponding to the integer index in the first list. |
| 273 | + mappings[nums1[i] & numToGetLastBits] = (nums2[i] & numToGetLastBits); |
| 274 | + } |
| 275 | + |
| 276 | + return mappings; |
| 277 | + } |
| 278 | +}; |
| 279 | +``` |
| 280 | + |
| 281 | +```javascript |
| 282 | +class Solution { |
| 283 | + /** |
| 284 | + * @param {number[]} nums1 |
| 285 | + * @param {number[]} nums2 |
| 286 | + * @return {number[]} |
| 287 | + */ |
| 288 | + anagramMappings(nums1, nums2) { |
| 289 | + const bitsToShift = 7; |
| 290 | + const numToGetLastBits = (1 << bitsToShift) - 1; |
| 291 | + |
| 292 | + // Store the index within the integer itself. |
| 293 | + for (let i = 0; i < nums1.length; i++) { |
| 294 | + nums1[i] = (nums1[i] << bitsToShift) + i; |
| 295 | + nums2[i] = (nums2[i] << bitsToShift) + i; |
| 296 | + } |
| 297 | + |
| 298 | + // Sort both arrays so that the original integers end up at the same index. |
| 299 | + nums1.sort((a, b) => a - b); |
| 300 | + nums2.sort((a, b) => a - b); |
| 301 | + |
| 302 | + // Array to store the anagram mappings. |
| 303 | + const mappings = new Array(nums1.length); |
| 304 | + |
| 305 | + for (let i = 0; i < nums1.length; i++) { |
| 306 | + // Store the index in the second array corresponding to the integer index in the first array. |
| 307 | + mappings[nums1[i] & numToGetLastBits] = (nums2[i] & numToGetLastBits); |
| 308 | + } |
| 309 | + |
| 310 | + return mappings; |
| 311 | + } |
| 312 | +} |
| 313 | +``` |
| 314 | + |
| 315 | +::tabs-end |
| 316 | + |
| 317 | +### Time & Space Complexity |
| 318 | + |
| 319 | +- Time complexity: $O(N \log N)$ |
| 320 | +- Space complexity: $O(\log N)$ |
| 321 | + |
| 322 | +> Where $N$ is the number of integers in the list `nums1` and `nums2`. |
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