/*

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*/
#include <bits/stdc++.h>
#define ll long long
#define lc(x) ((x) << 1)
#define rc(x) ((x) << 1 | 1)
#define ru(i, l, r) for (int i = (l); i <= (r); i++)
#define rd(i, r, l) for (int i = (r); i >= (l); i--)
#define mid ((l + r) >> 1)
#define pii pair<int, int>
#define mp make_pair
#define fi first
#define se second
#define sz(s) (int)s.size()
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
using namespace std;
#define maxn 3000005
const int mo = 998244353;
mt19937 Rand(chrono::steady_clock::now().time_since_epoch().count());
int read() {
    int x = 0, w = 0; char ch = getchar();
    while(!isdigit(ch)) w |= ch == '-', ch = getchar();
    while(isdigit(ch)) x = x * 10 + ch - '0', ch = getchar();
    return w ? -x : x;
}
int n[2], nxt[maxn], vis[maxn], cnt[2], id[2][maxn], tot;
vector<int> s[2][maxn];
vector<int> a[maxn];
void doit(int tp) {
    cnt[tp] = 0;
    ru(i, 1, n[tp]) vis[i] = 0;
    int now = 0;
    ru(i, 1, n[tp]) if(i & 1) nxt[i] = ++now;
    ru(i, 1, n[tp]) if(i % 2 == 0) nxt[i] = ++now;
    ru(i, 1, n[tp]) if(!vis[i]) {
        s[tp][++cnt[tp]].clear();
        for (int j = i; !vis[j]; j = nxt[j]) s[tp][cnt[tp]].push_back(j), vis[j] = 1;
        id[tp][cnt[tp]] = ++tot;
    }
}
int gcd(int x, int y) {
    return !y ? x : gcd(y, x % y);
}
int lcm(int x, int y) {
    return (ll)x * y / gcd(x, y);
}
int num, b[maxn], fa[maxn];
int calc() {
    int j = 0; nxt[1] = 0;
    ru(i, 2, num) {
        while(j && b[j + 1] != b[i]) j = nxt[j];
        if(b[j + 1] == b[i]) j++;
        nxt[i] = j;
    }
    return nxt[num] * 2 >= num ? num - nxt[num] : num;
}
int buc[maxn], inv[maxn], fac[maxn];
int find(int x) {
    return x == fa[x] ? x : fa[x] = find(fa[x]);
}
void solve() {
    ru(i, 0, 1) n[i] = read(); tot = 1;
    ru(i, 1, n[0]) {
        a[i] = {0};
        ru(j, 1, n[1]) a[i].push_back(read());
    }
    doit(0), doit(1);
    ru(i, 1, tot) fa[i] = i;
    int ans = 1;
    ru(i, 0, 1) {
        ru(j, 1, cnt[i]) if(s[i][j].size() == 1) {
            int res = 1;
            ru(k, 1, cnt[i ^ 1]) {
                num = 0;
                for (auto x: s[i ^ 1][k]) b[++num] = i ? a[x][s[i][j][0]] : a[s[i][j][0]][x];
                res = lcm(res, calc());
            }
            ans = (ll)ans * res % mo;
        }
    }
    ru(i, 1, cnt[0]) ru(j, 1, cnt[1]) if(s[0][i].size() > 1 && s[1][j].size() > 1) {
        ans = (ll)ans * fac[s[0][i].size() * s[1][j].size()] % mo; int fl = 1;
        for (auto x: s[0][i]) for (auto y: s[1][j]) {
            fl &= !buc[a[x][y]]++;
            ans = (ll)ans * inv[buc[a[x][y]]] % mo;
        }
        for (auto x: s[0][i]) for (auto y: s[1][j]) buc[a[x][y]]--;
        if(fl) {
            int x = find(s[1][j].size() & 1 ? 1 : id[0][i]), y = find(s[0][i].size() & 1 ? 1 : id[1][j]);
            if(x ^ y) fa[x] = y;
            else ans = (ll)ans * inv[2] % mo;
        }
    }
    printf("%d\n", ans);
}
int main() {
    inv[1] = 1; ru(i, 2, maxn - 1) inv[i] = (ll)(mo - mo / i) * inv[mo % i] % mo;
    fac[0] = 1; ru(i, 1, maxn - 1) fac[i] = (ll)fac[i - 1] * i % mo;
    int T = read();
    while(T--) solve();
	return 0;
}