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Problem · Math

● EasyIBMFULLTIMEOA

An ideal number is an integer that can be written as 3^x * 5^y, where x and y are non-negative integers.

Given two integers low and high, count how many ideal numbers are in the inclusive range [low, high].

Examples

01 · Example 1

low = 1
high = 15
return = 5

The ideal numbers in the range are 1, 3, 5, 9, and 15.

02 · Example 2

low = 16
high = 100
return = 5

The ideal numbers in the range are 25, 27, 45, 75, and 81.

Constraints

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public int countIdealNumbers(int low, int high) {
  // write your code here
}

low1

high15

expected5