703228. Minimum steps to get desired array
Minimum steps to get desired array
Summary
The problem is about finding the minimum number of operations needed to transform a given array into a target array. The allowed operations are incrementing or decrementing each element by 1. The key concepts involved are arrays, data structures, and algorithms.
Detailed Explanation
To solve this problem, we can use a greedy approach. The idea is to maintain a difference array that keeps track of the differences between consecutive elements in both the given and target arrays. We then iterate over the difference array and for each pair of consecutive elements, we calculate the minimum number of operations needed to transform the current element in the given array into the corresponding element in the target array.
Here's a step-by-step breakdown of the solution:
- Initialize an empty list
resultto store the minimum number of operations. - Calculate the difference between each pair of consecutive elements in both arrays and add them to a new list
diff. - Iterate over
diffand for each element, calculate the minimum number of operations needed to transform the current element in the given array into the corresponding element in the target array. - Add the calculated value to
result. - Return the sum of
result.
Here's an ASCII art diagram illustrating the process:
Given Array: [1, 3, 5]
Target Array: [2, 4, 6]
Difference Array: [(1-2), (3-4), (5-6)] = [-1, -1, -1]
Result: [-1] + [-1] + [-1] = 3
Time complexity: O(n) Space complexity: O(1)
Optimized Solutions
Java
public int minSteps(int[] arr1, int[] arr2) {
int n = arr1.length;
int result = 0;
for (int i = 0; i < n - 1; i++) {
result += Math.abs(arr1[i] - arr2[i]) + Math.abs(arr1[i+1] - arr2[i+1]);
}
return result;
}