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<cstdio>
int abs(int x) {return x>0?x:-x;}
int main()
{
	int n,mx,px,mn,pn;scanf("%d",&n);
	scanf("%d",&mx);mn=mx;px=pn=1;
	for(int i=1;i<n;i++)
	{
		int x;scanf("%d",&x);
		if(x>mx) mx=x,px=i+1;
		if(x<mn) mn=x,pn=i+1;
	}
	printf("%d\n",2*n-1);
	if(abs(mx)<abs(mn))
	{
		for(int i=1;i<=n;i++) printf("%d %d\n",pn,i);
		for(int i=n;i>1;i--) printf("%d %d\n",i,i-1);
	}
	else
	{
		for(int i=1;i<=n;i++) printf("%d %d\n",px,i);
		for(int i=1;i<n;i++) printf("%d %d\n",i,i+1);
	}
	return 0;
}