|
| 1 | + |
| 2 | +************************************ I. Using Intelligent Algorithm ***************************************** |
| 3 | +/* |
| 4 | + * Question: Given a LL with next and random pointers which point to any other node in LL |
| 5 | + * Devise a algorithm to copy this LL |
| 6 | + * |
| 7 | + * Source: http://www.careercup.com/question?id=5412018236424192 |
| 8 | + * |
| 9 | + * Algorithm: |
| 10 | + * |
| 11 | + * |
| 12 | +I. Using Intelligent Algorithm: |
| 13 | + |
| 14 | +Node* CopyLinkedList(Node* head) { |
| 15 | + |
| 16 | +Node* n = head; |
| 17 | + |
| 18 | +// First pass, insert a copy next to the code. |
| 19 | +while (n) { |
| 20 | +Node* n1 = new Node(); |
| 21 | +n1->data = n->data; |
| 22 | +n1->next = n->next; |
| 23 | +n->next = n1; |
| 24 | +n = n->next->next; |
| 25 | +} |
| 26 | + |
| 27 | +// Second pass, set random pointer. |
| 28 | +n = head; |
| 29 | +while (n) { |
| 30 | +n->next->random = n->random->next; |
| 31 | +n = n->next->next; |
| 32 | +} |
| 33 | + |
| 34 | +// Third pass, detach two lists. |
| 35 | +n = head; |
| 36 | +Node* head1 = n->next; |
| 37 | +while (n) { |
| 38 | +Node* temp = n->next->next; |
| 39 | +n->next->next = temp ? temp->next : nullptr; |
| 40 | +n->next = temp; |
| 41 | +n = temp; |
| 42 | +} |
| 43 | +return head1; |
| 44 | +} |
| 45 | + |
| 46 | + |
| 47 | + |
| 48 | + |
| 49 | + |
| 50 | + |
| 51 | + |
| 52 | + |
| 53 | + |
| 54 | + |
| 55 | + |
| 56 | + |
| 57 | + |
| 58 | +II. Using HashMap |
| 59 | + |
| 60 | +A good linear way is to use a map. |
| 61 | + |
| 62 | +1) Go through your linked list, and for each node v, create a new node u, such that u->data = v->data. |
| 63 | +Now store (v,u) in your map. |
| 64 | +{Note, doesn't matter where you set the u->next, just leave the new nodes dangling in the air} |
| 65 | + |
| 66 | +2) Now go through your original linked list again, and visit every v. |
| 67 | +Now do lookups in the map for every v in your original linked list.... |
| 68 | +Look up v to get u. |
| 69 | +Call v->next as x |
| 70 | +Call v->random as y |
| 71 | +Now set u->next->map[x], u->random=map[y] . |
| 72 | + |
| 73 | +CONS OF USING HASHMAP: |
| 74 | +hash maps need something to hash on.. what are you assuming that is? |
| 75 | +The value of the node? What if several nodes have the same value? |
| 76 | +Your map is going to get messed up pretty quick |
| 77 | + |
| 78 | + |
| 79 | + |
| 80 | +VERY IMP NOTE: |
| 81 | +HENCE, HASHMAP CAN ONLY BE USED IF EVERY NODE.DATA IS UNIQUE WHEREAS THE FIRST APPROACH |
| 82 | +OF USING INTELLIGENT ALGORITHM CAN BE USED FOR ANY CASE (EVEN IF NODE.DATA IS NOT UNIQUE) |
| 83 | + |
| 84 | + */ |
| 85 | + |
| 86 | + |
| 87 | +package LLCopyWithRandomPointer; |
| 88 | + |
| 89 | +public class UsingInteligentAlgorithms { |
| 90 | +public static void main(String[] args) { |
| 91 | + // create the head node |
| 92 | + Node head=new Node(10); |
| 93 | + // create the LL |
| 94 | + head.appendToTail(20).appendToTail(30).appendToTail(40).appendToTail(50); |
| 95 | + |
| 96 | + // set the random pointers |
| 97 | + head.random=head.next.next.next; //10.random = 40 |
| 98 | + head.next.random = head; // 20.random=10 |
| 99 | + head.next.next.random = head.next.next.next.next; //30.random=50 |
| 100 | + head.next.next.next.random = head.next; // 40.random=20 |
| 101 | + head.next.next.next.next.random = head.next.next; //50.random = 30 |
| 102 | + |
| 103 | + // print original LL |
| 104 | + System.out.println("Original LL: "); |
| 105 | + printLL(head); |
| 106 | + |
| 107 | + // copy the linkedlist |
| 108 | + Node head1 = copyLLWithRandomPointer(head); |
| 109 | + |
| 110 | + // print the copied linked list |
| 111 | + System.out.println("Copied LL: "); |
| 112 | + printLL(head1); |
| 113 | + |
| 114 | + |
| 115 | + } |
| 116 | + |
| 117 | +private static Node copyLLWithRandomPointer(Node head) { |
| 118 | + |
| 119 | + // First pass, insert a copy next to the code. Example: a a' b b' c c' NULL |
| 120 | + Node n = head; |
| 121 | + while(n!=null){ |
| 122 | + Node copy = new Node(n.data); |
| 123 | + copy.next = n.next; |
| 124 | + n.next = copy; |
| 125 | + // traverse through the LL |
| 126 | + n=n.next.next; |
| 127 | + } |
| 128 | + |
| 129 | + // Second pass, set random pointer. |
| 130 | + n=head; |
| 131 | + while(n!=null){ |
| 132 | + n.next.random = n.random.next; |
| 133 | + // traverse through the LL |
| 134 | + n=n.next.next; |
| 135 | + } |
| 136 | + |
| 137 | + // Third pass, detach two lists. |
| 138 | + n = head; |
| 139 | + Node head1 = n.next; |
| 140 | + while(n!=null){ |
| 141 | + Node temp = n.next.next; |
| 142 | + if(temp!=null) |
| 143 | + n.next.next = temp.next; |
| 144 | + else |
| 145 | + n.next.next = null; |
| 146 | + n.next = temp; |
| 147 | + // traverse through the LL |
| 148 | + n=temp; |
| 149 | + } |
| 150 | + |
| 151 | + return head1; |
| 152 | +} |
| 153 | + |
| 154 | +private static void printLL(Node head) { |
| 155 | + Node n = head; |
| 156 | + while(n!=null){ |
| 157 | + System.out.println("Data:"+n.data+" Random:"+n.random.data); |
| 158 | + n=n.next; |
| 159 | + } |
| 160 | + System.out.println(); |
| 161 | +} |
| 162 | +} |
| 163 | + |
| 164 | +class Node{ |
| 165 | + public int data; |
| 166 | + public Node next; |
| 167 | + public Node random; |
| 168 | + |
| 169 | + public Node(int data){ |
| 170 | + this.data=data; |
| 171 | + this.next=null; |
| 172 | + this.random=null; |
| 173 | + } |
| 174 | + public Node appendToTail(int data){ |
| 175 | + Node n = this; |
| 176 | + Node prev = null; |
| 177 | + while(n!=null){ |
| 178 | + prev=n; |
| 179 | + n=n.next; |
| 180 | + } |
| 181 | + prev.next=new Node(data); |
| 182 | + return prev.next; |
| 183 | + } |
| 184 | +} |
| 185 | +/* |
| 186 | + * Analysis: |
| 187 | + * Time Complexity: we run 3 passes hence 3n, asymptotically it is O(n) |
| 188 | + * Space Complexity: O(1) |
| 189 | + */ |
| 190 | + |
| 191 | +************************************ II. Using HashMap ***************************************** |
| 192 | + |
| 193 | +/* |
| 194 | + * Question: Given a LL with next and random pointers which point to any other node in LL |
| 195 | + * Devise a algorithm to copy this LL |
| 196 | + * |
| 197 | + * Source: http://www.careercup.com/question?id=5412018236424192 |
| 198 | + * |
| 199 | + * Algorithm: |
| 200 | + * |
| 201 | + * |
| 202 | +I. Using Intelligent Algorithm: |
| 203 | + |
| 204 | +Node* CopyLinkedList(Node* head) { |
| 205 | + |
| 206 | +Node* n = head; |
| 207 | + |
| 208 | +// First pass, insert a copy next to the code. |
| 209 | +while (n) { |
| 210 | +Node* n1 = new Node(); |
| 211 | +n1->data = n->data; |
| 212 | +n1->next = n->next; |
| 213 | +n->next = n1; |
| 214 | +n = n->next->next; |
| 215 | +} |
| 216 | + |
| 217 | +// Second pass, set random pointer. |
| 218 | +n = head; |
| 219 | +while (n) { |
| 220 | +n->next->random = n->random->next; |
| 221 | +n = n->next->next; |
| 222 | +} |
| 223 | + |
| 224 | +// Third pass, detach two lists. |
| 225 | +n = head; |
| 226 | +Node* head1 = n->next; |
| 227 | +while (n) { |
| 228 | +Node* temp = n->next->next; |
| 229 | +n->next->next = temp ? temp->next : nullptr; |
| 230 | +n->next = temp; |
| 231 | +n = temp; |
| 232 | +} |
| 233 | +return head1; |
| 234 | +} |
| 235 | + |
| 236 | + |
| 237 | + |
| 238 | + |
| 239 | + |
| 240 | + |
| 241 | + |
| 242 | + |
| 243 | + |
| 244 | + |
| 245 | + |
| 246 | + |
| 247 | + |
| 248 | +II. Using HashMap |
| 249 | + |
| 250 | +A good linear way is to use a map. |
| 251 | + |
| 252 | +1) Go through your linked list, and for each node v, create a new node u, such that u->data = v->data. |
| 253 | +Now store (v,u) in your map. |
| 254 | +{Note, doesn't matter where you set the u->next, just leave the new nodes dangling in the air} |
| 255 | + |
| 256 | +2) Now go through your original linked list again, and visit every v. |
| 257 | +Now do lookups in the map for every v in your original linked list.... |
| 258 | +Look up v to get u. |
| 259 | +Call v->next as x |
| 260 | +Call v->random as y |
| 261 | +Now set u->next->map[x], u->random=map[y] . |
| 262 | + |
| 263 | +CONS OF USING HASHMAP: |
| 264 | +hash maps need something to hash on.. what are you assuming that is? |
| 265 | +The value of the node? What if several nodes have the same value? |
| 266 | +Your map is going to get messed up pretty quick |
| 267 | + |
| 268 | + |
| 269 | + |
| 270 | +VERY IMP NOTE: |
| 271 | +HENCE, HASHMAP CAN ONLY BE USED IF EVERY NODE.DATA IS UNIQUE WHEREAS THE FIRST APPROACH |
| 272 | +OF USING INTELLIGENT ALGORITHM CAN BE USED FOR ANY CASE (EVEN IF NODE.DATA IS NOT UNIQUE) |
| 273 | + |
| 274 | + */ |
| 275 | + |
| 276 | +package LLCopyWithRandomPointer; |
| 277 | + |
| 278 | +import java.util.HashMap; |
| 279 | + |
| 280 | +public class UsingHashMap { |
| 281 | + public static void main(String[] args) { |
| 282 | + // create the head node |
| 283 | + Node head=new Node(10); |
| 284 | + // create the LL |
| 285 | + head.appendToTail(20).appendToTail(30).appendToTail(40).appendToTail(50); |
| 286 | + |
| 287 | + // set the random pointers |
| 288 | + head.random=head.next.next.next; //10.random = 40 |
| 289 | + head.next.random = head; // 20.random=10 |
| 290 | + head.next.next.random = head.next.next.next.next; //30.random=50 |
| 291 | + head.next.next.next.random = head.next; // 40.random=20 |
| 292 | + head.next.next.next.next.random = head.next.next; //50.random = 30 |
| 293 | + |
| 294 | + // print original LL |
| 295 | + System.out.println("Original LL: "); |
| 296 | + printLL(head); |
| 297 | + |
| 298 | + // copy the linkedlist |
| 299 | + Node head1 = usingHashMap(head); |
| 300 | + |
| 301 | + // print the copied linked list |
| 302 | + System.out.println("Copied LL: "); |
| 303 | + printLL(head1); |
| 304 | + |
| 305 | + |
| 306 | + } |
| 307 | + |
| 308 | + private static Node usingHashMap(Node head) { |
| 309 | + |
| 310 | +/* VERY IMP NOTE: |
| 311 | + HENCE, HASHMAP CAN ONLY BE USED IF EVERY NODE.DATA IS UNIQUE WHEREAS THE FIRST APPROACH |
| 312 | + OF USING INTELLIGENT ALGORITHM CAN BE USED FOR ANY CASE (EVEN IF NODE.DATA IS NOT UNIQUE) |
| 313 | +*/ |
| 314 | + |
| 315 | + HashMap<Node,Node> map = new HashMap<Node,Node>(); |
| 316 | + |
| 317 | + // First Pass: Put all the nodes in the HashMap |
| 318 | + Node n = head; |
| 319 | + while(n!=null){ |
| 320 | + map.put(n,new Node(n.data)); |
| 321 | + // iterate through the LL |
| 322 | + n=n.next; |
| 323 | + } |
| 324 | + |
| 325 | + // Second Pass: Copy the next and random pointers |
| 326 | + n = head; |
| 327 | + Node head1 = map.get(n); |
| 328 | + while(n!=null){ |
| 329 | + Node copy = map.get(n); |
| 330 | + Node next = n.next; |
| 331 | + Node random = n.random; |
| 332 | + |
| 333 | + copy.next = map.get(next); |
| 334 | + copy.random = map.get(random); |
| 335 | + |
| 336 | + // iterate through the LL |
| 337 | + n=n.next; |
| 338 | + } |
| 339 | + |
| 340 | + return head1; |
| 341 | + } |
| 342 | + |
| 343 | + private static void printLL(Node head) { |
| 344 | + Node n = head; |
| 345 | + while(n!=null){ |
| 346 | + System.out.println("Data:"+n.data+" Random:"+n.random.data); |
| 347 | + n=n.next; |
| 348 | + } |
| 349 | + System.out.println(); |
| 350 | + } |
| 351 | +} |
| 352 | +/* |
| 353 | + * Analysis: |
| 354 | + * Time Complexity: we run 2 passes hence 2n, asymptotically it is O(n) |
| 355 | + * Space Complexity: O(n), used by HashMap |
| 356 | + */ |
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