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SumList - sum of two link list result as link list
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import org.scalatest.{Matchers, WordSpec} | |
import scala.annotation.tailrec | |
/** | |
* You have two numbers represented by a linked list, where each node contains a single digit. | |
* The digits are stored in reverse order, such that the 1's digit is at the head of the list. | |
* Write a function that adds the two numbers and returns the sum as a linked list. | |
* | |
* Assumptions: both list has equal number of nodes | |
* | |
* for example (7-> 1 -> 6->Nil) + (5-> 9 -> 2-> Nil).That is,617 + 295 = 912 | |
* output will be : 2->1->9-Nil return new linklist | |
* | |
* for example (9-> 8 -> 7-> 6-> Nil) + (9-> 8 -> 7-> 6-> Nil) that will be 6789+6789=13578 | |
* output will be : 8->7->5-3->1->Nil return new linklist | |
* | |
* time complexity O(n+n) | |
* space complexity O(n) //new linklist | |
* | |
* Created by Arun Sethia on 7/22/18. | |
*/ | |
trait Linklist { | |
/** | |
* abstract Node | |
*/ | |
abstract class AbstractNode { | |
def data: Int | |
def next: AbstractNode | |
} | |
/** | |
* Nil Node to indicate end of link list | |
*/ | |
object NilNode extends AbstractNode { | |
def data = 0 | |
override def toString() = s"Nil" | |
def next = throw new UnsupportedOperationException("tail of empty list") | |
} | |
/** | |
* Node class | |
* | |
* @param data | |
* @param next | |
*/ | |
case class Node(data: Int, next: AbstractNode) extends AbstractNode { | |
override def toString() = s"data: ${data} next: ${next}" | |
} | |
/** | |
* add new node in the beginning | |
* | |
* @param prevNode | |
*/ | |
implicit class NodeAddItem(prevNode: AbstractNode) { | |
/** | |
* it will prepand v with prev node for example | |
* NilNode.prependItem(10) will be 10->Nil | |
* Node(1,NilNode).prependItem(2) will be 1->2->Nil | |
* | |
* @param v | |
* @return | |
*/ | |
def prependItem(v: Int): AbstractNode = | |
if (prevNode == NilNode) Node(v, NilNode) | |
else Node(v, NilNode).prepend(prevNode) | |
/** | |
* suffix node2 with prevNode | |
* Node(1,NilNode).prepand(Node(2,NilNode)) will be 2->1->Nil | |
* @param node2 | |
* @return | |
*/ | |
def prepend(node2: AbstractNode): AbstractNode = { | |
if (node2.next != NilNode) prepend(node2.next).prepend(Node(node2.data, NilNode)) | |
else Node(node2.data, prevNode) | |
} | |
} | |
/** | |
* sum two linklist nodes and create new linklist | |
* for example (7-> 1 -> 6->Nil) + (5-> 9 -> 2-> Nil).That is,617 + 295 = 912 | |
* output will be : 9->1->2-Nil | |
* | |
* @param node1 | |
* @param node2 | |
* @return | |
*/ | |
def addSumList(node1: AbstractNode, node2: AbstractNode): AbstractNode = { | |
@tailrec | |
def sumList(node1: AbstractNode, node2: AbstractNode, finalNode: AbstractNode, carryOver: Int): AbstractNode = { | |
if (node1.next != NilNode && node2.next != NilNode) { | |
val (data, newcarryOver) = getSumReminder(node1.data, node2.data, carryOver) | |
val node = finalNode.prependItem(data) | |
sumList(node1.next, node2.next, node, newcarryOver) | |
} else { | |
val (data, newcarryOver) = getSumReminder(node1.data, node2.data, carryOver) | |
val tmpNode = finalNode.prependItem(data) | |
//add carryover for final result | |
if (newcarryOver > 0) | |
tmpNode.prependItem(newcarryOver) | |
else tmpNode //don't add carryover for final result | |
} | |
} | |
sumList(node1, node2, NilNode, 0) | |
} | |
/** | |
* get sum all number and get sum and carryon for given numbers | |
* | |
* @return | |
*/ | |
private def getSumReminder(d: Int*): (Int, Int) = { | |
val sum = d.sum | |
val data = (sum % 10) | |
val nextCarryon = sum / 10 | |
(data, nextCarryon) | |
} | |
} | |
/** | |
* test cases for sumList | |
*/ | |
class LinkSumListSpec extends WordSpec | |
with Matchers | |
with Linklist { | |
"(7-> 1 -> 6->Nil) + (5-> 9 -> 2-> Nil)" should { | |
"return sum 912 as 2->1->9-Nil" in { | |
val node1 = Node(7, Node(1, Node(6, NilNode))) | |
val node2 = Node(5, Node(9, Node(2, NilNode))) | |
val result = Node(2, Node(1, Node(9, NilNode))) | |
assert(addSumList(node1, node2) == result) | |
} | |
} | |
"(9-> 8 -> 7-> 6-> Nil) + (9-> 8 -> 7-> 6-> Nil)" should { | |
"return 13578 as 8->7->5->3->1->Nil" in { | |
val node1 = Node(9, Node(8, Node(7, Node(6, NilNode)))) | |
val node2 = Node(9, Node(8, Node(7, Node(6, NilNode)))) | |
val result = Node(8, Node(7, Node(5, Node(3, Node(1, NilNode))))) | |
assert(addSumList(node1, node2) == result) | |
} | |
} | |
} |
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