Given an integer N, the task is to find the smallest and the largest N digit numbers which are also perfect cubes.
Input: N = 2
Output: 27 64
27 and 64 are the smallest and the largest 2-digit numbers which are also perfect cubes.
Input: N = 3
Output: 125 729
Approach: For increasing values of N starting from N = 1, the series will go on like 8, 64, 729, 9261, ….. for the largest N-digit perfect cube whose Nth term will be pow(ceil(cbrt(pow(10, (n))))-1, 3).
And 1, 27, 125, 1000, ….. for the smallest N-digit perfect cube whose Nth term will be pow(ceil(cbrt(pow(10, (n – 1)))), 3).
Below is the implementation of the above approach:
- Smallest and Largest N-digit perfect squares
- Perfect cubes in a range
- Number of perfect cubes between two given numbers
- Sum of all Perfect Cubes lying in the range [L, R] for Q queries
- Numbers less than N that are perfect cubes and the sum of their digits reduced to a single digit is 1
- Smallest perfect cube in an array
- Largest number that is not a perfect square
- Largest factor of a given number which is a perfect square
- Largest number in an array that is not a perfect cube
- Largest sub-array whose all elements are perfect squares
- Smallest perfect Cube divisible by all elements of an array
- Smallest N digit number which is a perfect fourth power
- Largest N digit Octal number which is a Perfect square
- Number of times the largest Perfect Cube can be subtracted from N
- Largest Divisor of a Number not divisible by a perfect square
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