Final Array State After K Multiplication Operations I

Problem Description

You are given an integer array nums, an integer k, and an integer multiplier. You need to perform k operations on nums. In each operation, find the minimum value x in nums and replace it with x * multiplier. Return the final state of nums after performing all k operations.

Key Insights

• The task requires locating and modifying the minimum value in the array multiple times.
• The order of operations matters since we need to replace the first occurrence of the minimum value.
• The constraints allow for a straightforward approach since k is small (maximum of 10).

Space and Time Complexity

Time Complexity: O(k * n) where n is the length of nums since we may need to search through the entire array for the minimum k times.
Space Complexity: O(1) since we are modifying the array in place without using any additional data structures.

Solution

To solve this problem, we can use a simple iterative approach. We will loop k times, and in each iteration, we will:

1. Traverse the nums array to find the index of the minimum value.
2. Replace the minimum value at that index with the product of the minimum value and the multiplier. This approach leverages a linear scan to find the minimum value, ensuring we always replace the first occurrence.

Code Solutions