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// tas.cpp : Defines the entry point for the console application.
//

// #include "stdafx.h"


#include <stdio.h>


using namespace std;


static int iN, iT, iCnt;

static int aIn[1 << 20];


static void ReadData()
{
    scanf("%d", &iN);
    scanf("%d", &iT);

    iCnt = (1 << iN);

    iT &= 1;

    for (int i = 0; i < iCnt; ++i)
    {
        int x;

        scanf("%d", &x);

        aIn[i] = x;
    }
}


static void Solve()
{
    int iMask = iCnt - 1;

    for (int i = 0; i < iCnt; ++i)
    {
        if (iT)
        {
            printf("%d ", aIn[i ^ iMask]);
        }
        else
        {
            printf("%d ", aIn[i]);
        }
    }
}


int main(int argc, char * argv[])
{
//    freopen("sample_input.txt",  "r", stdin);
//    freopen("sample_output.txt", "w", stdout);

    ReadData();

    Solve();

	return 0;
}