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970. Powerful Integers

Difficulty Topics

Description

Given three integers x, y, and bound, return a list of all the powerful integers that have a value less than or equal to bound.

An integer is powerful if it can be represented as xi + yj for some integers i >= 0 and j >= 0.

You may return the answer in any order. In your answer, each value should occur at most once.

 

Example 1:

Input: x = 2, y = 3, bound = 10
Output: [2,3,4,5,7,9,10]
Explanation:
2 = 20 + 30
3 = 21 + 30
4 = 20 + 31
5 = 21 + 31
7 = 22 + 31
9 = 23 + 30
10 = 20 + 32

Example 2:

Input: x = 3, y = 5, bound = 15
Output: [2,4,6,8,10,14]

 

Constraints:

  • 1 <= x, y <= 100
  • 0 <= bound <= 106

Solution

powerful-integers.py
class Solution:
    def powerfulIntegers(self, x: int, y: int, bound: int) -> List[int]:
        res = set()

        for i in range(100):
            for j in range(100):
                z = x ** i + y ** j
                if z <= bound:
                    res.add(z)

        return list(res)