#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;


vector<vector<Mint>> inverse(vector<vector<Mint>> a) {
  const int n = a.size();
  vector<vector<Mint>> b(n, vector<Mint>(n, 0));
  for (int i = 0; i < n; ++i) b[i][i] = 1;
  for (int h = 0; h < n; ++h) {
    for (int i = h; i < n; ++i) if (a[i][h]) {
      swap(a[h], a[i]);
      swap(b[h], b[i]);
      break;
    }
    // assert(a[h][h]);
    if (!a[h][h]) return {};
    const Mint s = a[h][h].inv();
    for (int j = h + 1; j < n; ++j) a[h][j] *= s;
    for (int j = 0; j < n; ++j) b[h][j] *= s;
    for (int i = h + 1; i < n; ++i) {
      const Mint t = a[i][h];
      if (t) {
        for (int j = h + 1; j < n; ++j) a[i][j] -= t * a[h][j];
        for (int j = 0; j < n; ++j) b[i][j] -= t * b[h][j];
      }
    }
  }
  for (int h = n; --h >= 0; ) for (int i = 0; i < h; ++i) {
    const Mint t = a[i][h];
    if (t) for (int j = 0; j < n; ++j) b[i][j] -= t * b[h][j];
  }
  return b;
}


// solution: a[j][n]
bool solveEq(vector<vector<Mint>> &a) {
  const int n = a.size();
  for (int h = 0; h < n; ++h) {
    for (int i = h; i < n; ++i) if (a[i][h]) {
      swap(a[h], a[i]);
      break;
    }
    if (!a[h][h]) return false;
    const Mint s = a[h][h].inv();
    for (int j = h + 1; j <= n; ++j) a[h][j] *= s;
    for (int i = h + 1; i < n; ++i) {
      for (int j = h + 1; j <= n; ++j) a[i][j] -= a[i][h] * a[h][j];
    }
  }
  for (int i = n; --i >= 0; ) {
    for (int j = i + 1; j < n; ++j) a[i][n] -= a[i][j] * a[j][n];
  }
  return true;
}


int SIX[9];
int INV[6], MUL[6][6];

int N;
vector<Mint> C;
Mint M, invM;


/*
  Pr[u -> v] = (1/M) [u = v] + \sum[i] (C[i]/M) Pr[u i -> v]
  ans[v] = Pr[0 -> v]
  
  Pr[u -> v] =: f(v^-1 u)
  f(u) = (1/M) [u = id] + \sum[i] (C[i]/M) f(u i)
  ans[v] = f(v^-1)
*/
namespace brute {
vector<Mint> run() {
  vector<vector<Mint>> a(SIX[N], vector<Mint>(SIX[N] + 1, 0));
  a[0][SIX[N]] += invM;
  for (int u = 0; u < SIX[N]; ++u) {
    a[u][u] += 1;
    for (int i = 0; i < SIX[N]; ++i) {
      int v = 0;
      for (int e = 0; e < N; ++e) {
        const int p = u / SIX[e] % 6;
        const int q = i / SIX[e] % 6;
        v += MUL[p][q] * SIX[e];
      }
// if(C[i])cerr<<u<<" "<<i<<": "<<v<<endl;
      a[u][v] -= invM * C[i];
    }
  }
// for(int u=0;u<SIX[N];++u)cerr<<a[u]<<endl;
  const bool res = solveEq(a);
  if (res) {
    vector<Mint> ans(SIX[N]);
    for (int u = 0; u < SIX[N]; ++u) {
      ans[u] = a[u][SIX[N]];
    }
    return ans;
  } else {
    return {};
  }
}
}  // brute


namespace subA {
vector<int> good;
void make() {
  good.assign(SIX[N], 0);
  for (int i = 0; i < SIX[N]; ++i) {
    bool ok = true;
    for (int e = 0; e < N; ++e) {
      const int p = i / SIX[e] % 6;
      ok = ok && (p == 0 || p == 3 || p == 4);
    }
    if (ok) {
      good[i] = 1;
    }
  }
}

// x + y \omega
using F = pair<Mint, Mint>;
F add(const F &a, const F &b) {
  return F(a.first + b.first, a.second + b.second);
}
F mul(const F &a, const F &b) {
  const Mint t = a.second * b.second;
  return F(a.first * b.first - t, a.first * b.second + a.second * b.first - t);
}

// (\omega^(pq))
const F W[3][3] = {
  {F(1, 0), F(1, 0), F(1, 0)},
  {F(1, 0), F(0, 1), F(-1, -1)},
  {F(1, 0), F(-1, -1), F(0, 1)},
};

vector<F> fs;
void dft() {
  F gs[3], hs[3];
  for (int e = 0; e < N; ++e) {
    for (int u = 0; u < SIX[N]; ++u) if (good[u] && u / SIX[e] % 6 == 0) {
      gs[0] = fs[u + 0 * SIX[e]];
      gs[1] = fs[u + 3 * SIX[e]];
      gs[2] = fs[u + 4 * SIX[e]];
      fill(hs, hs + 3, F(0, 0));
      for (int p = 0; p < 3; ++p) for (int q = 0; q < 3; ++q) {
        hs[p] = add(hs[p], mul(W[p][q], gs[q]));
      }
      fs[u + 0 * SIX[e]] = hs[0];
      fs[u + 3 * SIX[e]] = hs[1];
      fs[u + 4 * SIX[e]] = hs[2];
    }
  }
}
vector<Mint> run() {
  fs.assign(SIX[N], F(0, 0));
  fs[0].first += M;
  for (int i = 0; i < SIX[N]; ++i) if (good[i]) {
    fs[i].first -= C[i];
  }
  dft();
  for (int u = 0; u < SIX[N]; ++u) if (good[u]) {
    const Mint x = fs[u].first;
    const Mint y = fs[u].second;
    Mint d = x*x - x*y + y*y;
    if (!d) {
      return {};
    }
    d = d.inv();
    fs[u] = F(d * (x - y), d * (-y));
  }
  dft();
  const Mint invThr = Mint(3).pow(-N);
  vector<Mint> ans(SIX[N], 0);
  for (int u = 0; u < SIX[N]; ++u) if (good[u]) {
    const Mint x = fs[u].first;
    const Mint y = fs[u].second;
    assert(!y);
    ans[u] = invThr * x;
  }
  return ans;
}
}  // subA


int main() {
  SIX[0] = 1;
  for (int e = 1; e < 9; ++e) SIX[e] = SIX[e - 1] * 6;
cerr<<"SIX = ";pv(SIX,SIX+9);
  {
    vector<vector<int>> perms;
    {
      vector<int> perm{0, 1, 2};
      do {
        perms.push_back(perm);
      } while (next_permutation(perm.begin(), perm.end()));
    }
    map<vector<int>, int> tr;
    for (int p = 0; p < 6; ++p) {
      tr[perms[p]] = p;
    }
    for (int p = 0; p < 6; ++p) {
      vector<int> perm(3);
      for (int i = 0; i < 3; ++i) {
        perm[perms[p][i]] = i;
      }
      INV[p] = tr[perm];
    }
    for (int p = 0; p < 6; ++p) for (int q = 0; q < 6; ++q) {
      vector<int> perm(3);
      for (int i = 0; i < 3; ++i) {
        perm[i] = perms[p][ perms[q][i] ];
      }
      MUL[p][q] = tr[perm];
    }
  }
cerr<<"INV = ";pv(INV,INV+6);
for(int p=0;p<6;++p){cerr<<"MUL["<<p<<"] = ";pv(MUL[p],MUL[p]+6);}
  
  for (; ~scanf("%d", &N); ) {
    C.resize(SIX[N]);
    for (int i = 0; i < SIX[N]; ++i) {
      scanf("%u", &C[i].x);
    }
    
    M = 1;
    for (int i = 0; i < SIX[N]; ++i) {
      M += C[i];
    }
    assert(M);
    invM = Mint(M).inv();
    
    subA::make();
    bool speA = true;
    for (int i = 0; i < SIX[N]; ++i) if (C[i]) {
      speA = speA && subA::good[i];
    }
cerr<<"N = "<<N<<", speA = "<<speA<<endl;
    
    vector<Mint> ans;
    if (speA) {
      ans = subA::run();
    } else {
      ans = brute::run();
    }
    if (!ans.empty()) {
      unsigned key = 0;
      for (int u = 0; u < SIX[N]; ++u) {
        key ^= ans[u].x;
      }
      printf("%u\n", key);
    } else {
      puts("-1");
    }
#ifdef LOCAL
const auto brt=brute::run();
cerr<<"brt = "<<brt<<endl;
cerr<<"ans = "<<ans<<endl;
assert(brt==ans);
#endif
  }
  return 0;
}