How Do You Solve a 3 Jug Problem?
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Again, fill the 3-litter jug with water and pour into 5 litre jug (Now 5 litter Jug contains 5 litre water and 3 litre jug contains 1 litre water. Empty 5 litre jug and pour 1 litre water from 3 litre jug (now, 5 litre jug contains 1 litre water) Again, fill 3 litre jug and pour it into 5 litre jug (Now 5 litre jug contains 4 litre water)
How big is the water jug in Die Hard 3?
You’ve got to defuse a bomb by placing exactly 4 gallons (15 L) of water on a sensor. The problem is, you only have a 5 gallon (18.9 L) jug and a 3 gallons (11 L) jug on hand! This classic riddle, made famous in Die Hard 3, may seem impossible without a measuring cup, but it is actually remarkably simple.
How to measure jug J1 of 5 liters?
For example, if we have a jug J1 of 5 liters (n = 5) and another jug J2 of 3 liters (m = 3) and we have to measure 1 liter of water using them. The associated equation will be 5n + 3m = 1. First of all this problem can be solved since gcd (3,5) = 1 which divides 1 (See this for detailed explanation).