标题: 2010年Puzzleup数学竞赛−第11题: Sum of Differences [打印本页] 作者: castelu 时间: 2010-10-24 02:34 标题: 2010年Puzzleup数学竞赛−第11题: Sum of Differences
Sum of Differences
We have 20 different positive integers. The sum of the differences ofall pairs of integers (differences by subtracting smaller integer fromthe larger for every pair) is 5000.
What is the maximum possible sum of differences of 15 numbers that remains after the removal of 5 of the original 20.