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How many weighing do we need to perform in order to correctly identify the different egg?

+3 votes
211 views

You have 19 eggs.
18 of them have the same weight and 1 of them is different,
but you do not know if it is heavier or lighter than the others.

Using the best possible strategy, in the worst case scenario,
how many weighing do we need to perform
in order to correctly identify the different egg?

Edit : You do not necessarily need to find if the egg is heavier or lighter than the others.

posted Jun 17, 2019 by Rajni

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1 Answer

0 votes

Group as- A= 6, B=6, C=6, D=1
Step 1. Weight A&B
Step 2. Weight A&C
If both equal, D is the different egg.
If one group is different - A, B or C then different egg can be found in 2 weightings in 2 ways
1. Make 3 groups of 2, weight 2+2 then 1+1 to find different egg
2. Make 2 groups of 3, weight 3+3, then 1+1 to find different egg

answer Jun 17, 2019 by Hanifa Mammadov



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