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g0901_1000.s0970_powerful_integers.readme.md Maven / Gradle / Ivy

970\. Powerful Integers

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