#include <bits/stdc++.h>
using namespace std;

// pp basics

#define in ,
#define esc_paren(...) __VA_ARGS__
#define pp_empty(...)
#define pp_cat_i(x, y) x ## y
#define pp_cat(x, y) pp_cat_i(x, y)

#define pp_inc0 1
#define pp_inc1 2
#define pp_inc2 3
#define pp_inc3 4
#define pp_inc4 5
#define pp_inc5 6
#define pp_inc6 7
#define pp_inc7 8
#define pp_inc8 9
#define pp_inc(i) pp_cat(pp_inc, i)

// pp args counter

#define pp_arg10(_0, _1, _2, _3, _4, _5, _6, _7, _8, _9, ...) _9
#define pp_has_comma(...) pp_arg10(__VA_ARGS__, 1, 1, 1, 1, 1, 1, 1, 1, 0)
#define pp_trigger_paren(...) ,
#define pp_is_empty(...) \
  pp_is_empty1( \
      pp_has_comma(__VA_ARGS__), \
      pp_has_comma(pp_trigger_paren __VA_ARGS__), \
      pp_has_comma(__VA_ARGS__()), \
      pp_has_comma(pp_trigger_paren __VA_ARGS__()) \
      ) 
#define pp_paste5(_0, _1, _2, _3, _4) _0 ## _1 ## _2 ## _3 ## _4
#define pp_is_empty1(_0, _1, _2, _3) pp_has_comma(pp_paste5(pp_is_empty_case_, _0, _1, _2, _3))
#define pp_is_empty_case_0001 ,

#define pp_is_one(...) pp_is_one_(__VA_ARGS__, pp_one_seq)
#define pp_is_one_(...) pp_is_one_n(__VA_ARGS__)
#define pp_is_one_n(_1,_2,_3,_4,_5,_6,_7,_8,_9,_10, N, ...) N
#define pp_one_seq 0,0,0,0,0,0,0,0,0,1,0

#define pp_narg(...) \
         pp_narg_(__VA_ARGS__, pp_narg_seq)
#define pp_narg_(...) \
         pp_narg_n(__VA_ARGS__)
#define pp_narg_n( \
          _1, _2, _3, _4, _5, _6, _7, _8, _9,_10, \
         _11,_12,_13,_14,_15,_16,_17,_18,_19,_20, \
         _21,_22,_23,_24,_25,_26,_27,_28,_29,_30, \
         _31,_32,_33,_34,_35,_36,_37,_38,_39,_40, \
         _41,_42,_43,_44,_45,_46,_47,_48,_49,_50, \
         _51,_52,_53,_54,_55,_56,_57,_58,_59,_60, \
         _61,_62,_63,n,...) n
#define pp_narg_seq \
         63,62,61,60, \
         59,58,57,56,55,54,53,52,51,50, \
         49,48,47,46,45,44,43,42,41,40, \
         39,38,37,36,35,34,33,32,31,30, \
         29,28,27,26,25,24,23,22,21,20, \
         19,18,17,16,15,14,13,12,11,10, \
          9, 8, 7, 6, 5, 4, 3, 2, 1, 0

// pp if
#define pp_if_0(x, y) y
#define pp_if_1(x, y) x
#define pp_if(cond, x, y) pp_cat(pp_if_, cond)(x, y)

// pp foreach
#define pp_foreach_i9(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i8(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i7(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i6(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i5(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i4(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i3(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i2(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i1(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i0(i, f, x, ...) f(x) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach_i(i, f, ...) pp_if(pp_is_empty(__VA_ARGS__), pp_empty, pp_cat(pp_foreach_i, i))(pp_inc(i), f, __VA_ARGS__)
#define pp_foreach(f, ...) pp_foreach_i(0, f, __VA_ARGS__)

// alternative rep macro
#define rep(...) rep1(rep2, (__VA_ARGS__))
#define rep1(X, A) X A
#define rep2(i, ...) pp_if(pp_is_one(__VA_ARGS__), rep_len1(i, __VA_ARGS__), rep3(i, __VA_ARGS__))
#define rep_len1(i, end, ...) for (int i = 0; i < end; i++)
#define rep3(i, iter, ...) rep4(rep5, (iter, i, esc_paren __VA_ARGS__))
#define rep4(X, A) X A
#define rep5(iter, ...) iter(__VA_ARGS__)

// iterators
#define up up_iter ,
#define up_iter3(i, start, end) for (int i = start; i < end; i++)
#define up_iter4(i, start, end, up) for (int i = start; i < end; i += up)
#define up_iter(...) pp_cat(up_iter, pp_narg(__VA_ARGS__))(__VA_ARGS__)
#define down down_iter ,
#define down_iter2(i, end) for(int i = end-1; i >= 0; i--)
#define down_iter3(i, start, end) for (int i = end-1; i >= start; i--)
#define down_iter4(i, start, end, down) for (int i = end-1; i >= start; i -= down)
#define down_iter(...) pp_cat(down_iter, pp_narg(__VA_ARGS__))(__VA_ARGS__)
#define viter viter_iter ,
#define viter_iter(i, v) auto tmpitr=v.begin(); for (auto i=*tmpitr; tmpitr != v.end(); tmpitr++)

// debug macros
#define debug_var_elem(v) << #v << "=" << v << " "
#ifdef DEBUG
#define debug_echo(e) cout << "L" << __LINE__ << ": " << e << endl
#define debug_var(...) cout << "L" << __LINE__ << ": " pp_foreach(debug_var_elem, __VA_ARGS__) << endl
#define debug_ary(ary,n) cout << "L" << __LINE__ << " [ "; for(int i = 0; i < n; i++) cout << ary[i] << " "; cout << "]" << endl;
#else
#define debug_echo(e)
#define debug_var(...)
#define debug_ary(ary,n)
#endif

// short names
typedef long long ll;
#define down_queue(x) priority_queue<x>
#define up_queue(x) priority_queue<x, vector<x>, greater<x>>
ll gcd(ll a,ll b){while(b){ll tmp = a % b;a = b;b = tmp;}return a;}
ll lcm(ll a,ll b){return a / gcd(a,b) * b;}
#define all(x) x.begin(), x.end()
#define split_str(str, sp_word) istringstream stream(str); string res; for(int cnt = 0; getline(stream,res,sp_word); cnt++)
#define digit(x) ((int)log10((double)(x)) + 1)
#define mp(x,y) make_pair(x,y)
#define pb(x) push_back(x)
#define pf(x) push_front(x)
#define vec_cpy(to,from) copy(all(to),back_inserter(from))
#define ary_cpy(to,from) memcpy(to, from, sizeof(from))
#define MOD 1000000007 

// pp unionfind

#define pp_gen_field(list) pp_gen_field1 list
#define pp_gen_field1(name, val) decltype(val) name;
#define pp_gen_init(list) pp_gen_init1 list
#define pp_gen_init1(name, val) ,val
#define pp_gen_find_set_wrap(ufnodename) ufnodename pp_gen_find_set
#define pp_gen_find_set(list) pp_gen_find_set1 list
#define pp_gen_find_set1(name, val) \
  find_set_ ## name(int x, decltype(val) v) { \
    if (nodes[x].parent == x) { \
      nodes[x].name = v; \
      return nodes[x]; \
    } else { \
      return nodes[x] = find_set_ ## name(nodes[x].parent, v); \
    } \
  }
#define pp_gen_unite_set(list) pp_gen_unite_set1 list
#define pp_gen_unite_set1(name, val) \
  if (nodes[x].name == val) { \
    find_set_ ## name(x, find(y).name); \
  } \
  if (nodes[y].name == val) { \
    find_set_ ## name(y, find(x).name); \
  }

#define def_unionfind(ufname, ufnodename, ...) \
  struct ufnodename { \
    int parent; \
    pp_foreach(pp_gen_field, __VA_ARGS__) \
  }; \
  struct ufname { \
    vector<ufnodename> nodes; \
    vector<int> rank; \
    ufname(int n) : nodes(n+1), rank(n+1) { \
      rep (i in n) { \
        nodes[i] = ufnodename{i pp_foreach(pp_gen_init, __VA_ARGS__)}; \
        rank[i] = 0; \
      } \
    } \
    ufnodename find(int x) { \
      if (nodes[x].parent == x) { \
        return nodes[x]; \
      } else { \
        return nodes[x] = find(nodes[x].parent); \
      } \
    } \
    pp_foreach(pp_gen_find_set_wrap(ufnodename), __VA_ARGS__) \
    void unite(int x, int y) { \
      x = find(x).parent; \
      y = find(y).parent; \
      if (x == y) return; \
      if (rank[x] < rank[y]) { \
        pp_foreach(pp_gen_unite_set, __VA_ARGS__); \
        nodes[x].parent = y; \
      } else { \
        pp_foreach(pp_gen_unite_set, __VA_ARGS__); \
        nodes[y].parent = x; \
        if (rank[x] == rank[y]) rank[x]++; \
      } \
    } \
    bool same(int x, int y) { \
      return find(x).parent == find(y).parent; \
    } \
  }

vector<int> cube(30);
int ans = 8;

int sw(vector<int> c,int a, int b){
  swap(c[a],c[b]);
}

int rolls(int type){
  switch(type){
    case 0:
      swap(cube[9], cube[11]); swap(cube[17], cube[12]); swap(cube[7], cube[22]); swap(cube[6], cube[21]); swap(cube[8], cube[23]);
      break;
    case 1:
      swap(cube[0], cube[27]); swap(cube[2], cube[29]); swap(cube[20], cube[18]); swap(cube[1], cube[28]); swap(cube[14], cube[15]);
      break; 
    case 2:
      swap(cube[15], cube[17]); swap(cube[0], cube[23]); swap(cube[6], cube[29]); swap(cube[3], cube[26]); swap(cube[9], cube[20]);
      break;
    case 3:
      swap(cube[12], cube[14]); swap(cube[8], cube[27]); swap(cube[2], cube[21]); swap(cube[11], cube[18]); swap(cube[5], cube[24]);
      break;
  }
}

bool same(int begin,int end){
  auto bgn_itr = cube.begin() + begin;
  rep(i in up(begin - 1,end)) if(*bgn_itr != cube[i]) return false;
  return true;
}

bool is_goal(){
  if(same(1,9) && same(10,12) && same(13,15) && same(16,18) && same(19,21) && same(22,30)) return true;
  return false;
}

int dfs(int n){
  if (n >= 9) return n;
  if (is_goal()) return n;

  rolls(0);
  int a = dfs(n + 1);
  rolls(0);

  rolls(1);
  int b = dfs(n + 1);
  rolls(1);

  rolls(2);
  int c = dfs(n + 1);
  rolls(2);

  rolls(3);
  int d = dfs(n + 1);
  rolls(3);
  return min(a, min(b, min(c, d)));
}

int main(){
  int n;cin >> n;
  rep(i in up(0,n)){
    rep(j in up(0,30)) cin >> cube[j]; 
    cout << dfs(0) << endl;
  }
}

Measured memory_bytes: 3092