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因為a不大於b,b不大於c,所以|a-b|+|b-c|+|c-b|=(b-a)+2(c-b)=2c-b-a 要使值最大,c越大越好,a、b越小越好,所以c取數位9,a是三位數百位,不能是0,所以a取1,b不小於a,也取1 最大值時三位數為119,絕對值和最大為0+8+8=2x9-1-1=16
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