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While trading on his favorite exchange trader William realized that he found a vulnerability. Using this vulnerability he could change the values of certain internal variables to his advantage. To play around he decided to change the values of all internal variables from a_1, a_2, …, a_n to -a_1, -a_2, …, -a_n. For some unknown reason, the number of service variables is always an even number.

William understands that with his every action he attracts more and more attention from the exchange's security team, so the number of his actions must not exceed 5 000 and after every operation no variable can have an absolute value greater than 10^{18}. William can perform actions of two types for two chosen variables with indices i and j, where i < j:

  1. Perform assignment a_i = a_i + a_j 
  2. Perform assignment a_j = a_j - a_i 

William wants you to develop a strategy that will get all the internal variables to the desired values.

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 20). Description of the test cases follows.

The first line of each test case contains a single even integer n (2 ≤ n ≤ 10^3), which is the number of internal variables.

The second line of each test case contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9), which are initial values of internal variables.

Output

For each test case print the answer in the following format:

The first line of output must contain the total number of actions k, which the strategy will perform. Note that you do not have to minimize k. The inequality k ≤ 5 000 must be satisfied. 

Each of the next k lines must contain actions formatted as "type i j", where "type" is equal to "1" if the strategy needs to perform an assignment of the first type and "2" if the strategy needs to perform an assignment of the second type. Note that i < j should hold.

We can show that an answer always exists.

Example

Input


2
4
1 1 1 1
4
4 3 1 2


Output


8
2 1 2
2 1 2
2 1 3
2 1 3
2 1 4
2 1 4
1 1 2
1 1 2
8
2 1 4
1 2 4
1 2 4
1 2 4
1 3 4
1 1 2
1 1 2
1 1 4

Note

For the first sample test case one possible sequence of operations is as follows:

  1. "2 1 2". Values of variables after performing the operation: [1, 0, 1, 1] 
  2. "2 1 2". Values of variables after performing the operation: [1, -1, 1, 1] 
  3. "2 1 3". Values of variables after performing the operation: [1, -1, 0, 1] 
  4. "2 1 3". Values of variables after performing the operation: [1, -1, -1, 1] 
  5. "2 1 4". Values of variables after performing the operation: [1, -1, -1, 0] 
  6. "2 1 4". Values of variables after performing the operation: [1, -1, -1, -1] 
  7. "1 1 2". Values of variables after performing the operation: [0, -1, -1, -1] 
  8. "1 1 2". Values of variables after performing the operation: [-1, -1, -1, -1] 



For the second sample test case one possible sequence of operations is as follows:

  1. "2 1 4". Values of variables after performing the operation: [4, 3, 1, -2] 
  2. "1 2 4". Values of variables after performing the operation: [4, 1, 1, -2] 
  3. "1 2 4". Values of variables after performing the operation: [4, -1, 1, -2] 
  4. "1 2 4". Values of variables after performing the operation: [4, -3, 1, -2] 
  5. "1 3 4". Values of variables after performing the operation: [4, -3, -1, -2] 
  6. "1 1 2". Values of variables after performing the operation: [1, -3, -1, -2] 
  7. "1 1 2". Values of variables after performing the operation: [-2, -3, -1, -2] 
  8. "1 1 4". Values of variables after performing the operation: [-4, -3, -1, -2] 
2
4
1 1 1 1
4
4 3 1 2

12
1 1 2
2 1 2
1 1 2
2 1 2
1 1 2
2 1 2
1 3 4
2 3 4
1 3 4
2 3 4
1 3 4
2 3 4
12
1 1 2
2 1 2
1 1 2
2 1 2
1 1 2
2 1 2
1 3 4
2 3 4
1 3 4
2 3 4
1 3 4
2 3 4

#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp> 
#include <ext/pb_ds/tree_policy.hpp> 
using namespace __gnu_pbds; 
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> 
#define FAST std::ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
#define pi       acos(-1)
#define mp make_pair
#define pb push_back
#define ALL(v) v.begin(), v.end()
#define SORT(v) sort(ALL(v))  
#define REVERSE(v) reverse(ALL(v))
#define F first
#define S second
#define ppb pop_back
#define GCD(m,n) __gcd(m,n)
#define LCM(m,n) (m*n)/GCD(m,n)
#define rep(i,a,n)  for(int i=a ; i<n ; i++)
#define repe(i,a,n) for(int i=a;i<=n;i++)
#define rev(i,a,b) for(int i=a;i>=b;i--)
////-------------------------------------------------------------------------
#define ld long double 
#define int long long ////////////
////define ll long long
////--------------------------------------------------------------------------
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vvvi> vvvvi;
typedef vector<char> vc;
typedef vector<vc> vvc;
typedef vector<vvc> vvvc;
typedef vector<pii > vpii;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef map<int,int> mii;
typedef unordered_map<int,int> umii;
typedef map<char,int> mci;

struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; 
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);}

size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};

typedef unordered_map<int, int, custom_hash> safe_map;
typedef gp_hash_table<int, int, custom_hash> safe_hash_table;
////--------------------------------------------------------------------------
#define itv for(auto it= v.begin(); it != v.end(); ++it )
#define present(container, element) (container.find(element) != container.end())
#define cpresent(container, element) (find(ALL(container),element) != container.end())
#define   bs binary_search
#define  lb(v,val)  lower_bound(ALL(v), val)
#define  ub(v,val)  upper_bound(ALL(v), val)
#define Max(x,y,z) max(x,max(y,z))
#define Min(x,y,z) min(x,min(y,z))
#define maxc(v) *max_element(ALL(v))
#define minc(v) *min_element(ALL(v))
#define isvowel(a) (a=='a'||a=='e'||a=='i'||a=='o'||a=='u')
////--------------------------------------------------------------------------
 /*
#define dbg1(a) cout<<" *"<<a<<" ";
#define dbg2(a,b) cout<<" *"<<a<<" **"<<b<<" "     /////
#define dbg cout<<"move"
*/
#define nl "\n"
#define vin(v,n)   vi v(n); rep(i,0,n)  cin>>v[i]
#define dbg cerr <<"At line "<<__LINE__<<" move "<<nl
#define dbg1(x) cerr <<"At line "<<__LINE__<<" "<<#x<<"="<<x<<nl
#define dbg2(x,y) cerr <<"At line "<<__LINE__<<" "<<#x<<"="<<x<<" "<<#y<<"="<<y<<nl
#define dbg3(x,y,z) cerr <<"At line "<<__LINE__<<" "<<#x<<"="<<x<<" "<<#y<<"="<<y<<" "<<#z<<"="<<z<<nl
#define prv(v)     rep(i,0,sz(v))  cerr<<v[i]<<" "; cerr<<endl
#define sz(s)         (int)((s).size())
#define coutsp(k)   cout<<setprecision(k)  //set precision (total length k icluding decimal and non decimal)
#define coutfsp(k)   cout<<fixed<<setprecision(k)  //fixed set precision(after decimal fixing)
#define trav(a, x) for(auto& a : x)
#define display(x) trav(a,x) cout<<a<<" ";cout<<endl
#define displaycerr(x) trav(a,x) cerr<<a<<" ";cerr<<endl

#define MOD 1000000007   
#define POD 998244353    
#define INF   (int)2e18   //------

const int N = 2e5+5;

//-------------------------------------------------------------------------------
void do2win(int test)
{ 
  int n;  cin>>n;
  vin(v,n);

  cout<<4*(n/2)<<nl;

  rep(i,1,n/2+1)
  {
    rep(j,0,3)
    {
    cout<<"1 "<<i<<" "<<n+1-i<<nl;
    cout<<"2 "<<i<<" "<<n+1-i<<nl;
    }
  }



}
//-------------------------------------------------------------------------------
 
signed main()
{

   #ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    freopen("error.txt","w", stderr);
   #endif

   // #ifndef ONLINE_JUDGE
   //  cerr<<(1000*clock())/CLOCKS_PER_SEC<<"ms";
   // #endif      

///+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
   FAST; 
cout<<fixed<<setprecision(20);

///+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
   
   int test;  test=1;    
///////---------------------------------|||||
             cin>>test;        ////////>>>>>>>
////----------------------------------|||||

    for(int i=1;i<=test;i++)
    {
       // cout<<"Case #"<<i<<": ";

      do2win(i);
      // cout<<nl;   //  IMPORTANT FOR NEXT LINE     
    }

   return 0;
}