We have n glasses which can hold a varying amount of liquid. We will say that glass1 is size q1 quarts and glass2 is size q2 quarts, etc. We now give you a size, say x quarts. You must give me a glass of exactly x quarts.  You are allowed to fill any glass to exactly its size and to pour any liquid from one glass into another.  When you pour, you either have to empty the glass you are pouring from or fill the glass you are pouring into.  Can you do it?More concrete example: G1 has size 10 quarts.  G2 has size 4 quarts.  G3 has size 1 quart.  You can get a 5 quart drink by filling G1, pouring 4 quarts from it into G2 and 1 quart of it into G1.  After that, G1 has exactly 5 quarts. In the same problem, we could get 8 quarts by filling G2 twice and emptying it into G1 twice.   Given This: Write an algorithm to do this and determine its complexity.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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We have n glasses which can hold a varying amount of liquid. We will say that glass1 is size q1 quarts and glass2 is size q2 quarts, etc. We now give you a size, say x quarts. You must give me a glass of exactly x quarts.  You are allowed to fill any glass to exactly its size and to pour any liquid from one glass into another.  When you pour, you either have to empty the glass you are pouring from or fill the glass you are pouring into.  Can you do it?More concrete example: G1 has size 10 quarts.  G2 has size 4 quarts.  G3 has size 1 quart.  You can get a 5 quart drink by filling G1, pouring 4 quarts from it into G2 and 1 quart of it into G1.  After that, G1 has exactly 5 quarts.

In the same problem, we could get 8 quarts by filling G2 twice and emptying it into G1 twice.

 

Given This:

Write an algorithm to do this and determine its complexity.

 

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