Solve a two-jug measuring problem

Q: Solve a two-jug measuring problem

This question evaluates algorithm design, state-space modeling, graph-search techniques (BFS/DFS) and number-theoretic reasoning (gcd), along with handling edge cases and analyzing time and space complexity in the Coding & Algorithms domain.

Q: How do I approach Coding & Algorithms interview questions?

Coding & Algorithms questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master coding & algorithms interviews.

Question

You are given two jugs with capacities x and y liters and an unlimited water source. You may perform these operations: fill a jug, empty a jug, or pour from one jug to the other until one becomes full or the other becomes empty. Determine whether it is possible to measure exactly z liters in either jug. If it is possible, return true and optionally output one valid sequence of operations; otherwise return false. Describe and analyze both a graph-search approach (e.g., BFS/DFS over states) and a number-theoretic approach (using properties of gcd), including edge cases such as z == 0, z > x + y, and when x or y is 0. Implement canMeasure(x, y, z) and provide time and space complexity.

Solve a two-jug measuring problem

Overview

Comments (0)