Water and Jug Problem

Description

You are given two jugs with capacities x and y litres. There is an infinite amount of water supply available. You need to determine whether it is possible to measure exactly z litres using these two jugs.

If z liters of water is measurable, you must have z liters of water contained within one or both buckets by the end.

Operations allowed:

• Fill any of the jugs completely with water.

• Empty any of the jugs.

• Pour water from one jug into another till the other jug is completely full or the first jug itself is empty.

Constraints

Approach

Links

• GeeksforGeeks

• Leetcode

• ProgramCreek

• YouTube

Examples

Example 1

Input: x = 3, y = 5, z = 4

Output: 6

Example 2

Input: x = 3, y = 4, z = 2

Output: 4

Solutions

Solution 1

/**
 * Time complexity : 
 * Space complexity : 
 */

Follow up