Bouncing Ball Cycle

CSESAdditional Problems IIOpen on judge ↗

There is a ball at the top-left corner of an n \times m grid. The rows of the grid are numbered 1,2,\dots,n, and the columns are numbered 1,2,\dots,m. The ball is initially moving diagonally away from the top-left corner. At every step, it moves one cell. Whenever the ball hits the border of the grid, it changes its direction. After how many steps has the ball reached its initial location again?

HINT LADDERno hints yet

L1 Observation

L2 Technique

L3 Approach

L4 Pseudo-code

🔒

L5 Full solution

L5 unlocks only if you insist twice

solution.cppC++17

CodeSearch Tutor

Hints, not spoilers — it won’t hand over the full solution unless you insist.

voice by Sarvam AI