Problem: Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}.

He can perform the following operation any number of times:

* Operation: Choose integers x and y between 1 and N (inclusive), and add a_x to a_y.



He would like to perform this operation between 0 and 2N times (inclusive) so that a satisfies the condition below. Show one such sequence of operations. It can be proved that such a sequence of operations always exists under the constraints in this problem.

* Condition: a_1 \leq a_2 \leq ... \leq a_{N}

Constraints

* 2 \leq N \leq 50
* -10^{6} \leq a_i \leq 10^{6}
* All input values are integers.

Input

Input is given from Standard Input in the following format:


N
a_1 a_2 ... a_{N}


Output

Let m be the number of operations in your solution. In the first line, print m. In the i-th of the subsequent m lines, print the numbers x and y chosen in the i-th operation, with a space in between. The output will be considered correct if m is between 0 and 2N (inclusive) and a satisfies the condition after the m operations.

Examples

Input

3
-2 5 -1


Output

2
2 3
3 3


Input

2
-1 -3


Output

1
2 1


Input

5
0 0 0 0 0


Output

0

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int N;
  cin >> N;
  int a[N], b, c;
  for (int i = 0; i < N; i++) {
    cin >> a[i];
  }
  b = min_element(a,a+N)-a;
  c = max_element(a,a+N)-a;
  cout << 2*N << endl;
  if (-a[b] > a[c]) {
    cout << b+1 << ' ' << N << endl << b+1 << ' ' << N << endl;
    for (int i = N-1; i; i--) {
      cout << i+1 << ' ' << i << endl << i+1 << ' ' << i << endl;
    }
  } else {
    cout << c+1 << " 1\n" << c+1 << " 1\n";
    for (int i = 1; i < N; i++) {
      cout << i << ' ' << i+1 << endl << i << ' ' << i+1 << endl;
    }
  }
}