Medium
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
import kotlin.math.log10
import kotlin.math.pow
class Solution {
fun powerfulIntegers(x: Int, y: Int, bound: Int): List<Int> {
val iBound = if (x == 1) 1 else (log10(bound.toDouble()) / log10(x.toDouble())).toInt()
val jBound = if (y == 1) 1 else (log10(bound.toDouble()) / log10(y.toDouble())).toInt()
val set: HashSet<Int> = HashSet()
for (i in 0..iBound) {
for (j in 0..jBound) {
val number = (x.toDouble().pow(i.toDouble()) + y.toDouble().pow(j.toDouble())).toInt()
if (number <= bound) {
set.add(number)
}
}
}
return ArrayList(set)
}
}