/* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include // #include using namespace std; // using namespace atcoder; #define DEBUG(x) cerr << #x << ": " << x << endl; #define DEBUG_VEC(v) \ cerr << #v << ":"; \ for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \ cerr << " " << v[iiiiiiii]; \ cerr << endl; #define DEBUG_MAT(v) \ cerr << #v << endl; \ for (int i = 0; i < v.size(); i++) { \ for (int j = 0; j < v[i].size(); j++) { \ cerr << v[i][j] << " "; \ } \ cerr << endl; \ } typedef long long ll; // #define int ll #define vi vector #define vl vector #define vii vector> #define vll vector> #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream &operator<<(ostream &os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rrep1(i, n) for (int i = (int)(n); i > 0; i--) #define REP(i, a, b) for (int i = a; i < b; i++) #define in(x, a, b) (a <= x && x < b) #define all(c) c.begin(), c.end() void YES(bool t = true) { cout << (t ? "YES" : "NO") << endl; } void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; } void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; } void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; } void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; } void no(bool t = true) { cout << (t ? "no" : "yes") << endl; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0}; // vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 }; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); } } setup_io; // const ll MOD = 1000000007; const ll MOD = 998244353; // #define mp make_pair //#define endl '\n' int calc(vi b) { vi c(1); vi diffs; rep(i, 3) { int d = b[(i + 1) % 3] - b[i]; d = (d + 3) % 3; diffs.push_back(d); } sort(all(diffs)); if (diffs[0] == diffs.back() && diffs[0] != 0) return diffs[0]; else return 0; } vi change(vi a) { vi res; rep(i, a.size() - 2) { vi temp = {a[i], a[i + 1], a[i + 2]}; res.push_back(calc(temp)); } return res; } signed main() { int n; cin >> n; n = 2 * n + 1; vi a(n); rep(i, n) cin >> a[i]; vi b(3); rep(i, 3) b[i] = a[i]; vi c(1); c[0] = calc(b); // n = 13; for (int i = 3; i < n; i++) { bool flag = false; rep(x, 3) { if (x == b.back()) continue; vi temp = {b[b.size() - 2], b.back(), x}; int y = calc(temp); if (y == c.back()) continue; b.push_back(x); c.push_back(y); flag = true; break; } if (!flag) { cout << 0 << endl; return 0; } } // DEBUG_VEC(b); // rep(i, n / 2) { // b = change(b); // DEBUG_VEC(b); // } // DEBUG_VEC(b); // DEBUG_VEC(c); if (a != b) { cout << 0 << endl; return 0; } int syu = n / 2; syu--; if (c[0] == 0) { cout << 0 << endl; } else { if (syu % 2 == 0) { cout << c[0] << endl; } else { if (c[0] == 1) cout << 2 << endl; else cout << 1 << endl; } } }