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### by Sumit Chourasia | Sep 30, 2020 | Category :coding | Tags : algorithmडेटा-संरचनाआसानhash-tableleetcode #### Powerful Integers - Hash Table - Easy - LeetCode - मिनी टीवी

Given two positive integers x and y, an integer is powerful if it is equal to x^i + y^j for some integers i >= 0 and j >= 0.

Return a list of all powerful integers that have value less than or equal to bound.

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 = 2^0 + 3^0
3 = 2^1 + 3^0
4 = 2^0 + 3^1
5 = 2^1 + 3^1
7 = 2^2 + 3^1
9 = 2^3 + 3^0
10 = 2^0 + 3^2
Example 2:

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

Note:

1 <= x <= 100
1 <= y <= 100
0 <= bound <= 10^6

``````public class Solution {
public IList<int> PowerfulIntegers(int x, int y, int bound) {
var result = new HashSet<int>();
for(int i=1;i<=bound;i=i*x){
for(int j=1;i+j<=bound;j=j*y){

if(y==1){
break;
}
}
if(x==1){
break;
}
}

return result.ToList();
}
}``````

Time Complexity: O(n)

Space Complexity: O(n)