MediumNo. 1551
Minimum Operations to Make Array Equal — LeetCode 1551 Python Solution
- Pattern
- Math and Number Theory
- Topics
- Math
- Reading time
- 2 min
- Source
- leetcode.com
The problem
You have an array arr of length n where arr[i] = (2 * i) + 1 for all valid values of i (i.e., 0 <= i < n). In one operation, you can select two indices x and y where 0 <= x, y < n and subtract 1 from arr[x] and add 1 to arr[y] (i.e., perform arr[x] -=1 and arr[y] += 1).
Example
- Input
- n = 3
- Output
- 2
- Explanation
- arr = [1, 3, 5]
Python solution
class Solution:
def minOperations(self, n: int) -> int:
return sum(n - (i << 1 | 1) for i in range(n >> 1))Complexity
- Time
- O(n)where n is the length of the array
- Space · auxiliary
- O(1)
Pattern: Math and Number Theory
Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 1551. Minimum Operations to Make Array Equal is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.
The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.
Related problems
| No. | Problem | Difficulty |
|---|---|---|
| 2541 | Minimum Operations to Make Array Equal II | Medium |
| 0002 | Add Two Numbers | Medium |
| 0007 | Reverse Integer | Medium |
| 0009 | Palindrome Number | Easy |
| 0043 | Multiply Strings | Medium |
| 0048 | Rotate Image | Medium |
Frequently asked questions
- How hard is LeetCode 1551. Minimum Operations to Make Array Equal?
LeetCode 1551. Minimum Operations to Make Array Equal is rated Medium on LeetCode.
- What is the time complexity of LeetCode 1551. Minimum Operations to Make Array Equal?
The Python solution on this page runs in O(n), where n is the length of the array.
- What is the space complexity of LeetCode 1551. Minimum Operations to Make Array Equal?
The Python solution on this page uses O(1) auxiliary space.
- What topics does LeetCode 1551. Minimum Operations to Make Array Equal cover?
LeetCode 1551. Minimum Operations to Make Array Equal is tagged Math on LeetCode.