# 數學問題(有關餘數) 贈20點!!

Three vegetarians are shipwrecked on an island on which there is nothing to eat except coconuts. They soon notice that monkeys are eating a large number of the coconuts so, to protect their food supply, they gather all of the coconuts into one big pile. That night, one of the vegetarians gets up and, not trusting the other vegetarians, attempts to take his fair share of coconuts. He divides the coconuts into three equal piles, finds one coconut left over which he tosses to the monkeys, hides one of the piles, combines the remaining two piles into one pile, and returns to bed. The sencond vegetarian then gets up and attempts to take his fair share of coconuts. He divides the pile of coconuts into three equal piles, finds one coconuts left over (which he tosses to the monkeys), hides one of the piles, combines the remaining two pile into one pile, and returns to bed. The third vegetarian then goes through exactly the same procedure. In the morning, the three vegetarians approach the substantially diminshed pile of coconuts and, upon attempting to divide the pile fairly, find themselves prsenting the monkeys with their fourth and final coconut.

What is the smallest number of coconuts that could have been in the pile initially?

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• 1 0 年前
最佳解答

三個素食主義者被遭受海難在除了椰子什麼吃的海島。他們很快注意, 猴子吃很多的椰子, 為了保護他們的食品供應, 他們會集所有椰子一大堆。夜晚時, 素食主義者的當中一個起來, 不信任其它素食主義者, 他試圖公平分椰子的。他劃分椰子成三相等的堆, 發現他扔到猴子那, 掩藏堆的當中一個, 結合剩下的二堆入一堆, 和退回到床的一椰子左。第二個素食主義者起來, 然後試圖公平分椰子的。他劃分堆椰子成三相等的堆, 發現他扔到猴子) 的一個椰子左(, 掩藏堆的當中一個, 結合殘餘的二堆入一堆, 然後回到床。第三個素食主義者確切地然後審閱同樣做法。早晨, 三個素食主義者方法極大地 diminshed(無此字) 堆椰子, 在試圖劃分相同堆, 發現自己 prsenting (無此字) 猴子與他們第四最後的椰子。什麼是能最初地在堆椰子的最小的數量?

參考資料： YAHOO &ME
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• 1 0 年前

三個素食主義者被遭受海難在有□什麼吃除了椰子的海島。他們很快注意, 猴子吃□很大數量的椰子如此, 保護他們的食品供應, 他們會集所有椰子入一大堆。夜, 素食主義者的當中一個起來和, 不信任其它素食主義者, 試圖採取椰子他的公平份額。他劃分椰子成三相等的堆, 發現他扔到猴子, 掩藏堆的當中一個, 結合殘餘的二堆入一堆, 和退回到床的一椰子左。sencond 素食主義者起來和然後試圖採取椰子他的公平份額。他劃分堆椰子成三相等的堆, 發現他扔到猴子) 的一椰子左(, 掩藏堆的當中一個, 結合殘餘的二堆入一堆, 和回到床。第三個素食主義者確切地然後審閱同樣做法。早晨, 三個素食主義者方法極大地diminshed 堆椰子和, 在試圖相當劃分堆, 發現自己prsenting 猴子與他們第四和最後的椰子。什麼是能最初地是在堆椰子的最小的數量?

參考資料： 網路字典
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