Given a coordinate (x, y). The task is to calculate the number of steps required to reach point (x, y) from (0, 0) using zig-zag way and you cannot travel in straight line for more than 1 unit. Also, start moving along Y axis.
For example we can reach the Point denoted by red color in the respective ways as shown in the below diagram:
Input: x = 4, y = 4 Output: 8 In the diagram above the line is passing using 8 steps. Input: x = 4, y = 3 Output: 9 Input: x = 2, y = 1 Output: 5
Approach: By sketching a small diagram we can see the two cases:
- Case 1: If x is less than y then answer will always be x + y + 2*((y-x)/2).
- Case 2: If x is greater than equal to y then answer will always be x + y + 2*(((x-y)+1)/2).
Below is the implementation of the above approach:
Time Complexity: O(1)
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