Arm Wrestling Tournament (UVALive 5060, Regionals 2010 >> Asia - Jakarta)

///     Raihan Ruhin
///     CSE, Jahangirnagar University.
///     Dhaka-Bangladesh.
///     id: raihanruhin (topcoder / codeforces / codechef / uva), 3235 (lightoj)
///     mail: raihanruhin@ (yahoo / gmail / facebook)
///     blog: ruhinraihan.blogspot.com

#include<bits/stdc++.h>
using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define CLR(a) memset(a,0,sizeof(a))
#define PI acos(-1.0)

#define MOD 1000000007
#define MX 100010



int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    int kk=1, tc, n, m, k, x;
    string s;
    cin>>tc;
    while(tc--)
    {
        vector<int>nowID, nextID, nowData, nextData, initial;
        cin>>n>>k;
        m=(1<<n);
        vector<int> child[m+2];
        initial.push_back(0);
        for(int i=1;i<=m;i++)
        {
            cin>>x;
            initial.push_back(x);
            nowData.push_back(x);
            nowID.push_back(i);
        }
        while(nowData.size()>1)
        {
            for(int i=0;i<nowData.size();i+=2)
            {

                if(nowData[i]>=nowData[i+1])
                {
                    nextData.push_back(min(initial[nowID[i]], nowData[i]-nowData[i+1]+k));
                    nextID.push_back(nowID[i]);
                    child[nowID[i]].push_back(nowID[i+1]);
                }
                else
                {
                    nextData.push_back(min(initial[nowID[i+1]], nowData[i+1]-nowData[i]+k));
                    nextID.push_back(nowID[i+1]);
                    child[nowID[i+1]].push_back(nowID[i]);
                }
            }

            nowData=nextData;
            nowID=nextID;
            nextData.clear();
            nextID.clear();
        }

        cout<<nowID[0]<<"\n";
        cout<<child[nowID[0]][0];
        for(int i=1;i<child[nowID[0]].size();i++)
            cout<<" "<<child[nowID[0]][i];
        cout<<"\n";
    }

    return 0;
}