Problem solution · Java

Add Two Polynomials Represented as Linked Lists

Add Two Polynomials Represented as Linked Lists: a Java solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Direct simulation
Source
walkccc LeetCode Solutions
Length
58 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For Add Two Polynomials Represented as Linked Lists, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 58 lines of Java from the credited upstream file 1634.java.
  • The implementation visibly relies on sequence storage.
  • 3 loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Full codeAdd Two Polynomials Represented as Linked Lists · JavaJava
Use this to learn the idea, then write your own version.
/** * Definition for polynomial singly-linked list. * class PolyNode { *   int coefficient, power; *   PolyNode next = null; *   PolyNode() {} *   PolyNode(int x, int y) { this.coefficient = x; this.power = y; } *   PolyNode(int x, int y, PolyNode next) { *     this.coefficient = x; *     this.power = y; *     this.next = next; *   } * } */ class Solution {  public PolyNode addPoly(PolyNode poly1, PolyNode poly2) {    PolyNode dummy = new PolyNode();    PolyNode curr = dummy;    PolyNode p = poly1; // poly1's pointer    PolyNode q = poly2; // poly2's pointer     while (p != null && q != null) {      if (p.power > q.power) {        curr.next = new PolyNode(p.coefficient, p.power);        curr = curr.next;        p = p.next;      } else if (p.power < q.power) {        curr.next = new PolyNode(q.coefficient, q.power);        curr = curr.next;        q = q.next;      } else { // p.power == q.power        final int sumCoefficient = p.coefficient + q.coefficient;        if (sumCoefficient != 0) {          curr.next = new PolyNode(sumCoefficient, p.power);          curr = curr.next;        }        p = p.next;        q = q.next;      }    }     while (p != null) {      curr.next = new PolyNode(p.coefficient, p.power);      curr = curr.next;      p = p.next;    }     while (q != null) {      curr.next = new PolyNode(q.coefficient, q.power);      curr = curr.next;      q = q.next;    }     return dummy.next;  }} 

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