[일반] 수학 너무 어렵다 ㅠㅠ

[익명(163.152)]

이 문제 두시간째 풀고 있는데 난 왤케 병신 좃밥인지 모르겠다ㅠㅠ 시험기간인데 왤케 시간낭비 하고 있는건지... 수붕이중 조합고수있으면 풀이좀 알려주라... 난

[익명(163.152)]

There are 22 points placed inside of the interval [0,1]. At each iteration, one can remove two of the remaining points (e.g, A and B) and replace them by their midpoint, (A+B)/2. Show that one can always choose the points to be replaced in such a way that after 20 such iterations the distance between two remaining points is no greater than 0.001.