Partial Generalization of ISL '94 C5
Suppose $2n$ girls are seated around a circle $(n\in\mathbb N).$ One of the girls is given $2n$ coins initially. In a move, each girl with at least $2$ coins passes one coin to each of her two neighbors. The game terminates if, in a move, no girl is able to pass any coins. Prove that the game can't terminate.
Last edited by Nirjhor on Wed Jan 21, 2015 10:42 pm, edited 1 time in total.
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
Re: Partial Generalization of ISL '94 C5
Are you sure about it? ISL 1994 C5 says that the game must terminate with coins $ <2n$ and cannot terminate with exactly $2n$ coins.
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Nur Muhammad Shafiullah | Mahi
Re: Partial Generalization of ISL '94 C5
That's why I said *partial*.
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
Re: Partial Generalization of ISL '94 C5
And what I said is that your statement directly contradicts the statement of the ISL problem.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: Partial Generalization of ISL '94 C5
Sorry, typo, fixed.
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
Re: Partial Generalization of ISL '94 C5
Hint
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.