/* Problem URL: https://codeforces.com/problemset/problem/2096/C */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;

#define V vector

#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)

#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)

#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()

using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;

using ll = long long;

using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;

template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
    os << vec[0];
    for (size_t i = 1; i < vec.size(); i++) {
        os << ' ' << vec[i];
    }
    os << '\n';
    return os;
}

template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
    for (auto &i : vec) {
        is >> i;
    }
    return is;
}

template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
    for (auto &i : vec) {
        os << i[0];
        for (size_t j = 1; j < i.size(); j++) {
            os << ' ' << i[j];
        }
        os << '\n';
    }
    return os;
}

template<class v>
auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
    for (auto &i : vec) {
        for (auto &j : i) {
            is >> j;
        }
    }
    return is;
}

const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;


void pre()
{

}

#define TEST 1

void solve()
{
    int n;
    cin >> n;

    vvl h(n, vl(n));
    cin >> h;

    V<V<pair<int, ll>>> graph(n * 2);

    auto addedge = [&](int u, int v, ll c)
    {
        graph[u].emplace_back(v, c);
    };

    vl a(n);
    vl b(n);
    cin >> a >> b;

    vl memo(n * 2, -1);

    function<ll(int)> dfs = [&](int i) {
        if (i >= (n - 1) * 2) {
            return 0LL;
        }

        ll &ans = memo[i];
        if (ans != -1) {
            return ans;
        }

        ans = OO;

        repv(j, graph[i]) {
            ll tmp = dfs(j.first);
            if (tmp == OO) {
                continue;
            }

            rmin(ans, tmp + j.second);
        }

        return ans;
    };

    rep(j, n - 1) {
        int pos = (1 << 4) - 1;
        int msk = (1 << 5) - 1;
        rep(i, n) {
            if (h[i][j] == h[i][j + 1]) {
                pos &= msk ^ 1;
                pos &= msk ^ (1 << 3);
                continue;
            }
            
            if (h[i][j] == h[i][j + 1] - 1) {
                pos &= msk ^ (1 << 2);
                continue;
            }

            if (h[i][j] - 1 == h[i][j + 1]) {
                pos &= msk ^ (1 << 1);
            }
        }

        if (pos == 0) {
            cout << "-1\n";
            return;
        }

        if (pos & 1) {
            addedge(j * 2, (j + 1) * 2, 0);
        }

        if (pos & 2) {
            addedge(j * 2, (j + 1) * 2 + 1, b[j + 1]);
        }

        if (pos & 4) {
            addedge(j * 2 + 1, (j + 1) * 2, 0);
        }

        if (pos & 8) {
            addedge(j * 2 + 1, (j + 1) * 2 + 1, b[j + 1]);
        }
    }
    
    ll ans = min(dfs(0), dfs(1) + b[0]);
    if (ans >= OO) {
        cout << "-1\n";
        return;
    }
    graph.assign(n * 2, V<pair<int, ll>>());
    fill(all(memo), -1);

    rep(i, n - 1) {
        int pos = (1 << 4) - 1;
        int msk = (1 << 5) - 1;
        rep(j, n) {
            if (h[i][j] == h[i + 1][j]) {
                pos &= msk ^ 1;
                pos &= msk ^ (1 << 3);
                continue;
            }
            
            if (h[i][j] == h[i + 1][j] - 1) {
                pos &= msk ^ (1 << 2);
                continue;
            }

            if (h[i][j] - 1 == h[i + 1][j]) {
                pos &= msk ^ (1 << 1);
            }
        }

        if (pos == 0) {
            cout << "-1\n";
            return;
        }

        if (pos & 1) {
            addedge(i * 2, (i + 1) * 2, 0);
        }

        if (pos & 2) {
            addedge(i * 2, (i + 1) * 2 + 1, a[i + 1]);
        }

        if (pos & 4) {
            addedge(i * 2 + 1, (i + 1) * 2, 0);
        }

        if (pos & 8) {
            addedge(i * 2 + 1, (i + 1) * 2 + 1, a[i + 1]);
        }
    }

    ll tmp = min(dfs(0), dfs(1) + a[0]);
    if (tmp >= OO) {
        cout << "-1\n";
        return;
    }

    cout << ans + tmp << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    pre();

    int t;
    (TEST && cin >> t) || (t = 1);
    while (t--) {
        solve();
    }
}