#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define Mp make_pair
#define pb push_back
#define SZ(a) (int(a.size()))

typedef long long ll;
typedef double db;
typedef std::pair<int, int> pii;
typedef std::vector<int> vi;
#define log(...) fprintf(stderr, __VA_ARGS__)
std::mt19937_64 gen(std::chrono::system_clock::now().time_since_epoch().count());
ll get(ll l, ll r) { std::uniform_int_distribution<ll> dist(l, r); return dist(gen); }

const int N = 1e5 + 100;
const bool MIN = false, MAX = true;
const int Bsz = 30, inf = 2e9; // B = log(n)   block size
struct rmq { // O(n)-O(1) rmq   1e9
    int n, m, z[N], mn[20][N/20], pre[N], suf[N], stk[Bsz+10], bit[N];
    bool type; // Min or Max rmq   do Min rmq
    void prework() {
        int cur = inf;
        for(int i = 1; i <= n; i++) {
            if(i % Bsz == 0) cur = inf;
            cur = min(cur, z[i]), pre[i] = cur;
        }
        cur = inf;
        for(int i = n; i; i--) {
            cur = min(cur, z[i]), suf[i] = cur;
            if(i % Bsz == 0) cur = inf;
        }
        m = n / Bsz;
        for(int i = 0; i <= m; i++) mn[0][i] = inf;
        for(int i = 1; i <= n; i++) mn[0][i / Bsz] = min(mn[0][i / Bsz], z[i]);
        for(int k = 1; 1 << k <= m + 1; k++)
            for(int i = 0; i + (1 << k) - 1 <= m; i++)
                mn[k][i] = min(mn[k - 1][i], mn[k - 1][i + (1 << k - 1)]);
        int tp = 0, l = 0; cur = 0;
        for(int i = 1; i <= n; i++) {
            if(i % Bsz == 0) tp = cur = 0, l = i;
            while(tp && z[stk[tp]] >= z[i]) cur ^= 1 << (stk[tp] - l), tp--;
            bit[i] = cur ^= 1 << (i - l), stk[++tp] = i;
        }
    }
    void init(int arr[], int n_, bool type_) {
        // false for min, true for max
        n = n_, type = type_;
        for(int i = 1; i <= n; i++)
            z[i] = (type ? -arr[i] : arr[i]);
        prework();
    }
    int get_b(int l, int r) { // block min
        if(l > r) return inf;
        int x = 31 - __builtin_clz(r - l + 1); // log(r - l + 1)
        return min(mn[x][l], mn[x][r - (1 << x) + 1]);
    }
    int get(int l, int r) { // query min
        if(l / Bsz != r / Bsz) return min(get_b(l / Bsz + 1, r / Bsz - 1), min(suf[l], pre[r]));
        else return z[l + __builtin_ctz(bit[r] >> (l % Bsz))];
    }
    int query(int l, int r) { return type ? -get(l, r) : get(l, r); }
} qr[30];

int n, q, a[N], f[N][20], mx[N][20], rmx[30][N], nxt[N][30], pre[N][30], lg2[N];
int qor(int l, int r) {
    if(r < l) return 0;
    int lg = lg2[r - l + 1];
    return f[l][lg] | f[r - (1 << lg) + 1][lg];
}
int qmx(int l, int r) {
    if(r < l) return 0;
    int lg = lg2[r - l + 1];
    return max(mx[l][lg], mx[r - (1 << lg) + 1][lg]);
}
void solve() {
    cin >> n >> q;
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        f[i][0] = a[i];
        mx[i][0] = a[i];
        for(int j = 29, lst = -1; j >= 0; j--) {
            if(a[i] >> j & 1) lst = j;
            rmx[j][i] = lst;
        }
    }
    for(int i = 0; i < 30; i++) {
        qr[i].init(rmx[i], n, MAX);
    }
    for(int j = 1; 1 << j < n; j++)
        for(int i = 1; i + (1 << j) - 1 <= n; i++)
            f[i][j] = f[i][j - 1] | f[i + (1 << (j - 1))][j - 1],
            mx[i][j] = max(mx[i][j - 1], mx[i + (1 << (j - 1))][j - 1]);
    for(int i = 0; i < 30; i++) {
        nxt[n + 1][i] = n + 1;
    }
    for(int i = n; i; i--) {
        for(int j = 0; j < 30; j++)
            if(a[i] >> j & 1) nxt[i][j] = i;
            else nxt[i][j] = nxt[i + 1][j];
    }
    for(int i = 0; i < 30; i++) {
        pre[0][i] = 0;
    }
    for(int i = 1; i <= n; i++) {
        for(int j = 0; j < 30; j++)
            if(a[i] >> j & 1) pre[i][j] = i;
            else pre[i][j] = pre[i - 1][j];
    }
    // cerr << "ok\n";
    while(q--) {
        int l, r;
        cin >> l >> r;
        int mxa = qmx(l, r), sumor = qor(l, r);
        int mxor = (1 << (32 - __builtin_clz(mxa))) - 1;
        auto getLR = [&](int x) {
            return Mp(__builtin_ctz(x), 31 - __builtin_clz(x));
        };
        auto [L, R] = getLR(sumor ^ mxor);
        if(sumor == mxor) {
            cout << mxor << " 0\n";
        } else {
            vi pos = {l - 1, r + 1};
            for(int nw = l, sum = 0; ; ) {
                int to = n + 1;
                for(int i = 0; i < 30; i++)
                    if((sum >> i & 1) == 0)
                        to = min(to, nxt[nw][i]);
                if(to <= r) {
                    pos.pb(to);
                    nw = to;
                    sum |= a[nw];
                } else break;
            }
            for(int nw = r, sum = 0; ; ) {
                int to = 0;
                for(int i = 0; i < 30; i++)
                    if((sum >> i & 1) == 0)
                        to = max(to, pre[nw][i]);
                if(to >= l) {
                    pos.pb(to);
                    nw = to;
                    sum |= a[nw];
                } else break;
            }
            sort(pos.begin(), pos.end());
            pos.erase(unique(pos.begin(), pos.end()), pos.end());
            int fl = 0;
            for(int i = 1; i < SZ(pos); i++) {
                int ll = pos[i - 1] + 1, rr = pos[i] - 1;
                if(rr < ll) continue;
                if(qr[L].query(ll, rr) >= R) fl = 1;
            }
            for(int i = 1; i + 1 < SZ(pos); i++) {
                int nowsum = qor(l, pos[i] - 1) | qor(pos[i] + 1, r);
                auto [nowL, nowR] = getLR(mxor ^ nowsum);
                if(rmx[nowL][pos[i]] >= nowR) fl = 1;
            }
            cout << mxor << ' ' << (fl ? 1 : 2) << '\n';
        }
    }
    // cerr << "time: " << (db)clock()/CLOCKS_PER_SEC << "s\n";
}
signed main() {
    ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    lg2[0] = -1;
    for(int i = 1; i < N; i++) lg2[i] = lg2[i >> 1] + 1;
    int _; cin >> _; for(int cas = 1; cas <= _; cas++) solve();
    cerr << "time: " << (db)clock()/CLOCKS_PER_SEC << "s\n";
    return 0;
}