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17 November, 03:04

Find the number of ideal integers within the given segment [low, high] inclusive. An ideal number is a positive integer that has only 3 and 5 as prime divisors. An ideal number can be expressed in the form of 3^x*5^y, where x and y are non-negativeintegers

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  1. 17 November, 05:38
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    low = 10 high = 50 count = 0 for i in range (low, high + 1) : if (i % 3 = = 0 and i % 5 = = 0) : count + = 1 print (count)

    Explanation:

    The solution code is written in Python.

    We can create low and high variables to store the lower bound and upper bound in the range (Line 1-2)

    Next create a counter variable, count (Line 3).

    Use a for loop to traverse through the number between lower bound and upper bound and check if the current number-i is divisible by 3 and by 5, increment the count by one.

    After the loop, print the count and we can get the number of ideal integers within the range (Line 8).
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