A. Leha and Functiontime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputLeha like all kinds of strange things. Recently he liked the function F(n, k). Consider all possible k-element subsets of the set [1, 2, ..., n]. For subset find minimal element in it. F(n, k) — mathematical expectation of the minimal element among all k-element subsets.But only function does not interest him. He wants to do interesting things with it. Mom brought him two arrays A and B, each consists of m integers. For all i, j such that 1 ≤ i, j ≤ m the condition Ai ≥ Bj holds. Help Leha rearrange the numbers in the array A so that the sum  is maximally possible, where A' is already rearranged array.InputFirst line of input data contains single integer m (1 ≤ m ≤ 2·105) — length of arrays A and B.Next line contains m integers a1, a2, ..., am (1 ≤ ai ≤ 109) — array A.Next line contains m integers b1, b2, ..., bm (1 ≤ bi ≤ 109) — array B.OutputOutput m integers a'1, a'2, ..., a'm — array A' which is permutation of the array A.ExamplesInput57 3 5 3 42 1 3 2 3Output4 7 3 5 3Input74 6 5 8 8 2 62 1 2 2 1 1 2Output2 6 4 5 8 8 6
Input57 3 5 3 42 1 3 2 3
Output4 7 3 5 3
['combinatorics', 'greedy', 'math', 'number theory', 'sortings', '*1300']