Suppose you started with two positive integers in the blackboard and completed the game with finitely many steps.
Prove you get two equal positive integers at last.
Hint:
Maybe a typo? Cause, the problem is obvious otherwise. (According to your definitions, the game would not end unless arrived to two equal numbers state.)Fm Jakaria wrote:Suppose you started with two positive integers in the blackboard and completed the game with finitely many steps.
Prove you get two equal positive integers at last.
The question asks to prove that you get two equal positive integers at last.Phlembac Adib Hasan wrote:Maybe a typo? Cause, the problem is obvious otherwise. (According to your definitions, the game would not end unless arrived to two equal numbers state.)Fm Jakaria wrote:Suppose you started with two positive integers in the blackboard and completed the game with finitely many steps.
Prove you get two equal positive integers at last.
I didn't notice the 'positive integer' part before. Thanks, anyway.Nirjhor wrote:The question asks to prove that you get two equal positive integers at last.Phlembac Adib Hasan wrote: Maybe a typo? Cause, the problem is obvious otherwise. (According to your definitions, the game would not end unless arrived to two equal numbers state.)