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1502. Can Make Arithmetic Progression From Sequence

Given an array of numbers arr. A sequence of numbers is called an arithmetic progression if the difference between any two consecutive elements is the same.

Return true if the array can be rearranged to form an arithmetic progression, otherwise, return false.

Example 1:

Input: arr = [3,5,1]
Output: true
Explanation: We can reorder the elements as [1,3,5] or [5,3,1] with differences 2 and -2 respectively, between each consecutive elements.

Example 2:

Input: arr = [1,2,4]
Output: false
Explanation: There is no way to reorder the elements to obtain an arithmetic progression.

Constraints:

  • 2 <= arr.length <= 1000
  • -10^6 <= arr[i] <= 10^6

Solutions (Ruby)

1. Sort

# @param {Integer[]} arr
# @return {Boolean}
def can_make_arithmetic_progression(arr)
    arr.sort!

    for i in 2...arr.length
        return false if arr[i] - arr[i - 1] != arr[i - 1] - arr[i - 2]
    end

    return true
end

Solutions (Rust)

1. Sort

impl Solution {
    pub fn can_make_arithmetic_progression(arr: Vec<i32>) -> bool {
        let mut arr = arr;
        arr.sort_unstable();

        for i in 2..arr.len() {
            if arr[i] - arr[i - 1] != arr[i - 1] - arr[i - 2] {
                return false;
            }
        }

        true
    }
}