Problem :
You are standing at point (0 , 0). You can move to any point with integer coordinates that is exactly K units away in terms of manhattan distance from the point you are currently standing at. For eg : K = 3 , and you are standing at ( 4, -3) you can go to ( 5 , -5 ) or ( 4 , 0 ) as they both are at a manhattan distance of K (note that there are other options too).
You need to answer the minimum number of moves required to reach point (x , y) or say its impossible to reach (x , y)
Constraints :
-1e5 <= x , y <= 1e5
1 <= K <= 1e9
Sample TC : K = 3
pt = ( 1 , 3 )
output : 2
explanation : In one move you can go from (0 , 0) to (-3 , 2) Distance = |0 — (-3)| + |0 — 2| = 5 , and then from (-3, 2) you can go to (1 , 3) Distance = |-3 — 1| + |2 — 3| = 5 . So 2 moves is the minimum answer.