题目内容

Mice and Rice is the name of a programming contest in which each programmer must write a piece of code to control the movements of a mouse in a given map. The goal of each mouse is to eat as much rice as possible in order to become a FatMouse.

First the playing order is randomly decided for  programmers. Then every  programmers are grouped in a match. The fattest mouse in a group wins and enters the next turn. All the losers in this turn are ranked the same. Every  winners are then grouped in the next match until a final winner is determined.

For the sake of simplicity, assume that the weight of each mouse is fixed once the programmer submits his/her code. Given the weights of all the mice and the initial playing order, you are supposed to output the ranks for the programmers.

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 positive integers:  and  (⩽1000), the number of programmers and the maximum number of mice in a group, respectively. If there are less than  mice at the end of the player's list, then all the mice left will be put into the last group. The second line contains  distinct non-negative numbers  (=0,⋯,) where each  is the weight of the -th mouse respectively. The third line gives the initial playing order which is a permutation of 0,⋯,−1 (assume that the programmers are numbered from 0 to −1). All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the final ranks in a line. The -th number is the rank of the -th programmer, and all the numbers must be separated by a space, with no extra space at the end of the line.

Sample Input:

Sample Output:

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