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:
// coding on smartphone
#include<iostream>
using namespace std;

int main(){
	int n, x, ma = -1000001, mapos, mi = 1000001, mipos;
	cin >> n;
	
	for(int i =0; i < n; i++){
		cin >> x;
		if(x > ma){
			ma = x;
			mapos = i;
		}
		if(x < mi){
			mi = x;
			mipos = i;
		}
	}
	
	cout << 2*n-1 << endl;
	int pivot = (abs(ma) > abs(mi) ? mapos : mipos);
	
	pivot++;
	
	for(int i = 1; i <= n; i++) cout << pivot << " " << i << endl;
	
	if(abs(ma) > abs(mi)){
		for(int i = 1; i < n; i++)   cout << i << " " << i+1 << endl;
	}else{
		for(int i = n; i > 1; i--)	cout << i << " " << i-1 << endl;
	}
	
	return 0;
}