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id	title	challengeType	forumTopicId	dashedName
5900f44f1000cf542c50ff61	Problem 227: The Chase	5	301870	problem-227-the-chase

--description--

"The Chase" is a game played with two dice and an even number of players.

The players sit around a table; the game begins with two opposite players having one die each. On each turn, the two players with a die roll it. If a player rolls a 1, he passes the die to his neighbour on the left; if he rolls a 6, he passes the die to his neighbour on the right; otherwise, he keeps the die for the next turn. The game ends when one player has both dice after they have been rolled and passed; that player has then lost.

In a game with 100 players, what is the expected number of turns the game lasts? Give your answer rounded to ten significant digits.

--hints--

euler227() should return 3780.618622.

assert.strictEqual(euler227(), 3780.618622);

--seed--

--seed-contents--

function euler227() {

  return true;
}

euler227();

--solutions--

// solution required

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