#include "bits/stdc++.h" using namespace std; using ll=long long; using dd=double; using vll=vector< ll>; using vdd=vector< dd>; using vvll=vector< vll>; using vvdd=vector; using vvvll=vector< vvll>; using vvvvll=vector; using pll=pair; using tll=tuple; using qll=tuple; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector; using vvtll=vector; using vvqll=vector; constexpr ll INF = 1LL << 60; struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<::max_digits10); } } fast; #define REPS(i, S, E) for (ll i = (S); i <= (E); i++) #define REP(i, N) REPS(i, 0, (N)-1) #define DEPS(i, S, E) for (ll i = (E); i >= (S); i--) #define DEP(i, N) DEPS(i, 0, (N)-1) #define rep(i, S, E) for (ll i = (S); i <= (E); i++) #define dep(i, E, S) for (ll i = (E); i >= (S); i--) #define each(e, v) for (auto&& e : v) #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; } template inline T MaxE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; } template inline T MinE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; } template inline T MaxE(vector &v) { return MaxE(v,0,(ll)v.size()-1); } template inline T MinE(vector &v) { return MinE(v,0,(ll)v.size()-1); } template inline T Sum(vector &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; } template inline T Sum(vector &v) { return Sum(v,0,v.size()-1); } template inline ll sz(T &v){ return (ll)v.size(); } inline ll CEIL(ll a,ll b){ return (a<0) ? -(-a/b) : (a+b-1)/b; } inline ll FLOOR(ll a,ll b){ return -CEIL(-a,b); } template struct mll_{ ll val; mll_(ll v = 0): val(v % MOD){ if (val < 0) val += MOD; } mll_ operator - () const { return -val; } mll_ operator + (const mll_ &b) const { return val + b.val; } mll_ operator - (const mll_ &b) const { return val - b.val; } mll_ operator * (const mll_ &b) const { return val * b.val; } mll_ operator / (const mll_ &b) const { return mll_(*this) /= b; } mll_ operator + (ll b) const { return *this + mll_(b); } mll_ operator - (ll b) const { return *this - mll_(b); } mll_ operator * (ll b) const { return *this * mll_(b); } friend mll_ operator + (ll a,const mll_ &b) { return b + a; } friend mll_ operator - (ll a,const mll_ &b) { return -b + a; } friend mll_ operator * (ll a,const mll_ &b) { return b * a; } friend mll_ operator / (ll a,const mll_ &b) { return mll_(a)/b; } mll_ &operator += (const mll_ &b) { val=(val+b.val)%MOD; return *this; } mll_ &operator -= (const mll_ &b) { val=(val+MOD-b.val)%MOD; return *this; } mll_ &operator *= (const mll_ &b) { val=(val*b.val)%MOD; return *this; } mll_ &operator /= (const mll_ &b) { ll c=b.val,d=MOD,u=1,v=0; while (d){ ll t = c / d; c -= t * d; swap(c,d); u -= t * v; swap(u,v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } mll_ &operator += (ll b) { return *this += mll_(b); } mll_ &operator -= (ll b) { return *this -= mll_(b); } mll_ &operator *= (ll b) { return *this *= mll_(b); } mll_ &operator /= (ll b) { return *this /= mll_(b); } bool operator == (const mll_ &b) const { return val == b.val; } bool operator != (const mll_ &b) const { return val != b.val; } bool operator == (ll b) const { return *this == mll_(b); } bool operator != (ll b) const { return *this != mll_(b); } friend bool operator == (ll a,const mll_ &b) { return mll_(a) == b.val; } friend bool operator != (ll a,const mll_ &b) { return mll_(a) != b.val; } friend ostream &operator << (ostream &os,const mll_ &a) { return os << a.val; } friend istream &operator >> (istream &is,mll_ &a) { return is >> a.val; } static mll_ Combination(ll a,ll b){ chmin(b,a-b); if (b<0) return mll_(0); mll_ c = 1; rep(i,0,b-1) c *= a-i; rep(i,0,b-1) c /= i+1; return c; } }; using mll = mll_<1000000007LL>; using vmll = std::vector; using vvmll = std::vector; using vvvmll = std::vector; using vvvvmll = std::vector; #if 0 #include using namespace atcoder; #endif template inline T POW(T a,ll n){ T r=1; for (; n>0; n>>=1,a*=a){ if (n&1)r*=a; } return r; } inline ll POW(int a,ll n){ return POW((ll)a,n); } #if defined(_DEBUG) ll dumpW = 5; template void dump(vector &v){ rep(i,0,sz(v)-1) { cerr << ((i==0)?"[":" ") << setw(dumpW) << v[i]; } cerr << "]"; } void dump(vll &v){ rep(i,0,sz(v)-1) { cerr << ((i==0)?"[":" ") << setw(dumpW); if (v[i] == INF) cerr << "INF"; else if (v[i] == -INF) cerr << "-INF"; else cerr << v[i]; } cerr << "]"; } template void dump(vector> &v){ ll N=(ll)v.size(); string d[2][2]={{" ", "["}, {"\n", "]\n"}}; rep(i,0,N-1) { cerr << d[0][i==0]; dump(v[i]); cerr << d[1][i==N-1]; } } template void dump(vector>> &v){ ll N=(ll)v.size(); string d[2]={" <", "[ <"}; rep(i,0,N-1) { cerr << d[i==0] << i << ">\n"; dump(v[i]); } cerr << "]\n"; } template void dump(vector>>> &v){ ll N=(ll)v.size(); string d[2]={" ---<", "[ ---<"}; rep(i,0,N-1) { cerr << d[i==0] << i << ">---\n"; dump(v[i]); } cerr << "]\n"; } template void dump(vector>>>> &v){ ll N=(ll)v.size(); string d[2]={" ======<", "[ ======<"}; rep(i,0,N-1) { cerr << d[i==0] << i << ">======\n"; dump(v[i]); } cerr << "]\n"; } template void dump(map &m){ for (auto e: m) cout << e.first << " : " << e.second << '\n'; } #else template void dump(T &v){} #endif void solve() { ll n; cin >> n; vector> c(n,vector(n)); rep(i,0,n-1)rep(j,0,n-1){ ll c_; cin>>c_; c[i][j]=c_; } ll nn=POW(3,n); vvll dp_(nn,vll(n,INF)); auto dp = [&](ll s,ll k)->ll&{ static ll dmy=0; return dp_[s][k]; }; rep(k,0,n-1){ dp(POW(3,k),k)=0; } rep(s,0,nn-1){ vll sv(n); ll ss=s; rep(keta,0,n-1){ sv[keta]=ss%3; ss/=3; } rep(k,0,n-1){ rep(kk,0,n-1){ if (kk==k)continue; if (sv[kk]==2)continue; ll cost=c[k][kk]; ll ss=s+POW(3,kk); chmin(dp(ss,kk),dp(s,k)+cost); //dump(dp_); } } } ll ans=INF; rep(k,0,n-1){ chmin(ans,dp(nn-1,k)); chmin(ans,dp(nn-1-POW(3,k),k)); } cout << ans << '\n'; //dump(dp_); } int main(){ #if 1 solve(); //cin2solve(); //generand(); #else ll t; cin >> t; rep(i, 0, t-1){ solve(); //cin2solve(); } #endif return 0; }