HMMT 十一月 2012 · 冲刺赛 · 第 36 题

HMMT November 2012 — Guts Round — Problem 36

[ 20 ] Let π and π be permutations of the numbers from 1 through 7. Call π superior to π if the 1 2 1 2 sum of all i such that π ( i ) > π ( i ) exceeds the sum of all i such that π ( i ) > π ( i ). Write down a 1 2 2 1 permutation of the integers from 1 through 7. Let N be the total number of answers submitted for this problem, and let n be the number of submitted answers your answer is superior to. Your score n will be ⌈ 20 ⌉ . N . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

解析