1197.

Minimum Knight Moves

Medium

In an infinite chess board with coordinates from -infinity to +infinity, you have a knight at square [0, 0]. A knight has 8 possible moves it can make, as illustrated below. Each move is two squares in a cardinal direction, then one square in an orthogonal direction. Return the minimum number of steps needed to move the knight to the square [x, y]. It is guaranteed the answer exists. Example 1: Input: x = 2, y = 1 Output: 1 Explanation: [0, 0] → [2, 1] Example 2: Input: x = 5, y = 5 Output: 4 Explanation: [0, 0] → [2, 1] → [4, 2] → [3, 4] → [5, 5] Constraints: |x| + |y| <= 300