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

#define ll long long
#define ul unsigned ll
#define LL __int128_t
#define db double
#define DB long db
#define pii pair<int, int>
#define fi first
#define se second
#define mkpr make_pair
#define vi vector<int>
#define vl vector<ll>
#define vii vector<pii>
#define rsz resize
#define eb emplace_back
#define all(c) (c).begin(), (c).end()
#define bit(k) (1 << (k))
#define Bit(k) (1ll << (k))
#define BIT(k) ((LL)1 << (k))
#define lowbit(x) ((x) & -(x))
#define bin(s, k) ((s) >> (k) & 1)
#define lg2(x) (31 - __builtin_clz(x))
#define LG2(x) (63 - __builtin_clzll(x))
#define popcnt(x) __builtin_popcount(x)
#define mem(a, x) memset(a, x, sizeof(a))
#define req(i, l, r) for (int i(l), i##End(r); i < i##End; i = -~i)
#define rep(i, l, r) for (int i(l), i##End(r); i <= i##End; i = -~i)
#define per(i, r, l) for (int i(r), i##End(l); i >= i##End; i = ~-i)

#ifdef JYR
#include "debug.h"
#define errs(x) fputs(x "\n", stderr)
#define errm(x, ...) fprintf(stderr, x, ##__VA_ARGS__)
#else
#define dbg(...) 0
#define dbgArr(...) 0
#define errs(x) 0
#define errm(x, ...) 0
#endif

template<typename T, typename U> void chkmx(T &_a, U _b) { if (_a < _b) _a = _b; }
template<typename T, typename U> void chkmn(T &_a, U _b) { if (_b < _a) _a = _b; }

bool Mbe;

struct FastIO {
    char buf[1 << 20], *p1, *p2;
    char puf[1 << 20], *pf;

    FastIO() : p1(buf), p2(buf), pf(puf) {}
    ~FastIO() { fwrite(puf, 1, pf - puf, stdout); }

    char gc() {
        if (p1 == p2) p2 = (p1 = buf) + fread(buf, 1, 1 << 20, stdin);
        return p1 == p2 ? EOF : *p1++;
    }

    bool blank(char c) { return c == ' ' || c == '\r' || c == '\n' || c == '\t'; }

    char rd() {
        char c = gc(); while (blank(c)) c = gc();
        return c;
    }

    template<typename T> T rd() {
        T x = 0; int f = 0; char c = gc();
        while (!isdigit(c)) f = (c == '-'), c = gc();
        while (isdigit(c)) x = (x << 1) + (x << 3) + (c - '0'), c = gc();
        return f ? -x : x;
    }

    int rds(char *s) {
        char c = gc(), *S = s;
        while (blank(c)) c = gc();
        while (!blank(c) && c != EOF) *s++ = c, c = gc();
        return *s = 0, abs(s - S);
    }

    int rdl(char *s) {
        char c = gc(), *S = s;
        while (c == '\r' || c == '\n') c = gc();
        while (c != '\r' && c != '\n' && c != EOF) *s++ = c, c = gc();
        return *s = 0, abs(s - S);
    }

    void rd(char &c) { c = rd(); }

    void rd(char *s) {
        char c = gc();
        while (blank(c)) c = gc();
        if (c == EOF) { *s = 0; return; }
        while (!blank(c) && c != EOF) *s++ = c, c = gc();
        *s = 0;
    }

    template<typename T> void rd(T &x) {
        x = 0; int f = 0; char c = gc();
        while (!isdigit(c)) f = (c == '-'), c = gc();
        while (isdigit(c)) x = (x << 1) + (x << 3) + (c - '0'), c = gc();
        if (f) x = -x;
    }

    template<typename T, typename... Ts>
    void rd(T& x, Ts&... xs) { rd(x), rd(xs...); }

    void pc(const char &c) {
        if (pf - puf == 1 << 20) fwrite(pf = puf, 1, 1 << 20, stdout);
        *pf++ = c;
    }

    void prt(char c) { pc(c); }
    void prt(char* s) { while (*s) pc(*s++); }
    void prt(const char* s) { while (*s) pc(*s++); }

    template<typename T> void prt(T x) {
        static int st[41], tp = 0;
        if (x == 0) { pc('0'); return; }
        if (x < 0) x = -x, pc('-');
        while (x) st[++tp] = x % 10, x /= 10;
        while (tp) pc(st[tp--] + '0');
    }

    template<typename T> void prt(T *x) { while (*x) pc(*x++); }

    template<typename T, typename... Ts>
    void prt(T x, Ts... xs) { prt(x), prt(xs...); }

    void prts(const char *s, char c = '\n') {
        while (*s) pc(*s++);
        if (c) pc(c);
    }
} IO;

#define rd IO.rd
#define rdl IO.rdl
#define ri rd<int>()
#define rl rd<ll>()
#define prt IO.prt
#define prs IO.prts
#define edl IO.pc('\n')

#define MC

#define N 100005
#define mod 998244353
#define inf 0x3f3f3f3f
#define INF 0x3f3f3f3f3f3f3f3f

#define pli pair<ll, int>
#define vli vector<pli>
#define pb pop_back

int TID, n, m;
ll ans;
ll a[N];
int p[63][N];
int vt[N], tp;
vli st;
vector<vli> res;
bool vs[N];

ll dfs1(ll xs, int k, bool fg) {
    if (k < 0) return 0;
    ll K = BIT(k) - 1;
    if (bin(xs, k)) {
        rep(_, 1, n) if (int i = p[k][_]; !vs[i] && !bin(a[i], k)) {
            vs[i] = 1;
            ll x = K + 1 - (a[i] & K) + dfs1(xs ^ (a[i] & K), k - 1, 1);
            return vs[i] = 0, x;
        }
        if (fg) return K + 1 + dfs1(xs, k - 1, fg);
        return INF;
    }
    ll x = dfs1(xs, k - 1, fg);
    if (!fg) rep(_, 1, n) if (int i = p[k][_]; !vs[i]) {
        if (bin(a[i], k)) break;
        rep(__, _ + 1, n) if (int j = p[k][__]; !vs[j]) {
            if (bin(a[j], k)) break;
            vs[i] = vs[j] = 1;
            chkmn(x, K + 1 - (a[i] & K) - (a[j] & K) + K + 1
                 + dfs1(xs ^ (a[i] & K) ^ (a[j] & K), k - 1, 1));
            return vs[i] = vs[j] = 0, x;
        }
    }
    return x;
}

int dfs2(ll xs, int k, bool fg, ll su) {
    dbg(xs, k, fg, su, st);
    if (su > ans) return -1;
    if (k < 0) {
        if (res.size() == m) return 0;
        return res.eb(st), 1;
    }
    ll K = BIT(k) - 1;
    bool bk = 0;
    if (bin(xs, k)) {
        rep(_, 1, n) if (int i = p[k][_]; !vs[i]) {
            if (bin(a[i], k)) break;
            vs[i] = 1, st.eb(K + 1 - (a[i] & K), i), vt[++tp] = i;
            int tg = dfs2(xs ^ (a[i] & K), k - 1, 1, su + K + 1 - (a[i] & K));
            vs[i] = 0, st.pb(), tp--;
            if (!tg) return bk;
            if (!~tg) break;
            bk = 1;
        }
        if (fg) {
            rep(_, 1, tp) {
                int i = vt[_];
                st.eb(K + 1, i);
                int tg = dfs2(xs, k - 1, fg, su + K + 1);
                if (st.pb(); !tg) return bk;
                if (!~tg) break;
                bk = 1;
            }
        }
        return bk;
    }
    bk = dfs2(xs, k - 1, fg, su);
    if (k == 3 && su == 0) dbgArr(p[k] + 1, n), dbgArr(vs + 1, n);
    rep(_, 1, n) if (int i = p[k][_]; !vs[i]) {
        dbg(_, k, p[k][_], i);
        if (bin(a[i], k)) break;
        rep(__, _ + 1, n) if (int j = p[k][__]; !vs[j]) {
            dbg(__, k, p[k][__], j);
            if (bin(a[j], k)) break;
            ll x = K + 1 - (a[i] & K), y = K + 1 - (a[j] & K);
            vs[i] = vs[j] = 1, st.eb(x, i), st.eb(y, j), vt[++tp] = i, vt[++tp] = j;
            int tg = dfs2(xs ^ (a[i] & K) ^ (a[j] & K), k - 1, 1, su + x + y);
            vs[i] = vs[j] = 0, st.pb(), st.pb(), ----tp;
            if (!tg) return bk;
            if (!~tg) break;
            bk = 1;
        }
    }
    return bk;
}

/*

7 7 7 6 2 2 3
0111
0111
0111
0110
0010
0010
0011

*/

void mslv() {
    rd(n, m), st.clear(), res.clear();
    ll xs = 0;
    rep(i, 1, n) xs ^= a[i] = rl;
    rep(k, 0, 60) {
        rep(i, 1, n) p[k][i] = i;
        ll K = BIT(k) - 1;
        sort(p[k] + 1, p[k] + n + 1, [&](int i, int j) {
            return (bin(a[i], k) ? -1 : a[i] & K)
                 > (bin(a[j], k) ? -1 : a[j] & K);
        });
    }
    ans = dfs1(xs, 60, 0), dfs2(xs, 60, 0, 0);
    prt(ans, '\n', res.size(), '\n');
    for (auto ve : res) {
        sort(all(ve), [](pli x, pli y) { return x.se < y.se; });
        vli vc;
        for (auto [x, i] : ve) {
            if (vc.empty() || vc.back().se != i) vc.eb(x, i);
            else vc.back().fi += x;
        }
        prt(vc.size(), '\n');
        for (auto [x, i] : vc) prt(i, ' '); edl;
        for (auto [x, i] : vc) prt(x, ' '); edl;
    }
}

void mprw() {}

bool Med;

int main() {
    #ifdef JYR
    errs("Running!");
    freopen("Test.in", "r", stdin);
    freopen("Test.out", "w", stdout);
    #endif
    mprw();
    #ifdef MC
    int _; rd(TID, _);
    while (_--) mslv();
    #else
    mslv();
    #endif
    errm("%.3lfMB %.0lfms\n", abs(&Med - &Mbe) / 1048576., clock() * 1000. / CLOCKS_PER_SEC);
    return 0;
}