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You have 2 identical glass bulbs with you. Bulb
manufacturer has mentioned that each bulb might withstand a
drop of 200 Feet at maximum. Your task is to find the
height at which the bulb breaks ofcourse with minimum
number of iterations.
Assume that you have 200 blocks of 1 foot each which can be
stacked one by one to create a 200 Feet structure to carry
out the test.
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Answer Posted / md
200 feet is the max height.
Means bulb can break from any feet within the max limit.
In the worst case, no of iteration will be 200.
To make situation better.. lets segmentise the 200 feet in
X segments.
Then will experiment with one bulb from top of each
segments. Bulb may break at any trial. worst case bulb
breaks at last trial. iteration = X
Now need to find the exact feet among the particular
segment. This segment has 200/X feet span.
Hence Worst case : iteration I = X + (200/X)
Now the job is to find out value of X so that I is minimum.
X=10 or X=20 in worst case min no of iteration is 30
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