Ten ferocious old pirates are dividing their plunder (100 gold coins) before disbanding. No single coin can be subdivided. According to pirate code, pirate number 1 (Pl) suggests a sharing rule (for instance if Pl suggests (55, 0, 9, 0,9, 0,9, 0,9,9) he is suggesting that Pl gets 55 coins, P2 gets 0, P3 gets 9 and so on...). All ten pirates vote by roll call on the proposal. If a majority (even a tie is enough) accept, then the division is carried out and the game ends. If the suggestion is not accepted then the first pirate is thrown overboard (which is worse than getting no gold, because of the circling sharks) and P2 makes a proposal, which is subjected to majority vote, and so on. These pirates are crafty enough to perform backward induction, and so cranky that whenever a pirate is indifferent about voting for or against a proposal he votes against. Explain what happens and why