//四則演算 #pragma GCC target("avx")
//並列計算 #pragma GCC optimize("O3")
//条件分岐を減らす #pragma GCC optimize("unroll-loops")
//浮動小数点演算 #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using VI = vector<int>;
using VL = vector<ll>;
using VS = vector<string>;
template<class T> using PQ = priority_queue<T, vector<T>, greater<T>>;
#define FOR(i,a,n) for(int i=(a);i<(n);++i)
#define eFOR(i,a,n) for(int i=(a);i<=(n);++i)
#define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i)
#define erFOR(i,a,n) for(int i=(n);i>=(a);--i)
#define each(i, a) for(auto &i : a)
#define SORT(i) sort(i.begin(),i.end())
#define rSORT(i) sort(i.rbegin(),i.rend())
#define fSORT(i,a) sort(i.begin(),i.end(),a)
#define all(i) i.begin(),i.end()
#define out(y,x,h,w) ((y)<0||(h)<=(y)||(x)<0||(w)<=(x))
#define line cout << "-----------------------------\n" 
#define ENDL(i,n) ((i) == (n) - 1 ? "\n" : " ")
#define stop system("pause")
constexpr ll INF = 1000000000;
constexpr ll LLINF = 1LL << 60;
constexpr ll mod = 1000000007;
constexpr ll MOD = 998244353;
constexpr ld eps = 1e-10;
constexpr ld pi = 3.1415926535897932;
template<class T>inline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; }
template<class T>inline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; }
inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); }
template<class T>inline istream& operator>>(istream& is, vector<T>& v) { for (auto& a : v)is >> a; return is; }
template<class T>inline istream& operator>>(istream& is, deque<T>& v) { for (auto& a : v)is >> a; return is; }
template<class T, class U>inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template<class T>inline vector<T> vec(size_t a) { return vector<T>(a); }
template<class T>inline vector<T> defvec(T def, size_t a) { return vector<T>(a, def); }
template<class T, class... Ts>inline auto vec(size_t a, Ts... ts) { return vector<decltype(vec<T>(ts...))>(a, vec<T>(ts...)); }
template<class T, class... Ts>inline auto defvec(T def, size_t a, Ts... ts) { return vector<decltype(defvec<T>(def, ts...))>(a, defvec<T>(def, ts...)); }
inline void print() { cout << "\n"; }
template<class T, class... Ts>inline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); }
template<class T>inline void print(const vector<T>& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); }
template<class T>inline void print(const vector<vector<T>>& v) { for (auto& a : v)print(a); }
inline string reversed(const string& s) { string t = s; reverse(all(t)); return t; }

int main() {
    init();

    int n; cin >> n;
    VI p(n * n); cin >> p;
    auto a = vec<int>(n + 2, n + 2);
    FOR(i, 0, n)FOR(j, 0, n)a[i + 1][j + 1] = i * n + j + 1;
    
    vector<pair<int, int>> wh(n * n);
    FOR(i, 0, n * n)wh[i] = make_pair(i / n + 1, i % n + 1);
    VI cost(n * n + 1, 1);
    cost[0] = 0;

    auto dis = defvec<int>(INF, n + 2, n + 2);
    queue<pair<int, int>> bfs;
    int dy[] = { -1,0,0,1 }, dx[] = { 0,-1,1,0 };
    function<void()> solve = [&]() {
        while (!bfs.empty()) {
            int y, x;
            tie(y, x) = bfs.front();
            bfs.pop();
            FOR(i, 0, 4) {
                int ny = y + dy[i], nx = x + dx[i];
                if (out(ny, nx, n+2, n+2))continue;
                if (!chmin(dis[ny][nx], dis[y][x] + cost[a[ny][nx]]))continue;
                bfs.emplace(ny, nx);
            }
        }
    };
    dis[0][0] = 0;
    bfs.emplace(0, 0);
    solve();

    ll ans = 0;
    FOR(i, 0, n * n) {
        auto [y, x] = wh[p[i] - 1];
        int d = INF;
        FOR(j, 0, 4) {
            int ny = y + dy[j], nx = x + dx[j];
            chmin(d, dis[ny][nx]);
        }
        cost[p[i]] = 0;
        dis[y][x] = d;
        bfs.emplace(y, x);
        solve();
        ans += dis[y][x];
    }

    print(ans);

    return 0;
}


Measured memory_bytes: 9276