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;
typedef long long ll;
const int mod=1e9+7;
int n;

int main()
{
    scanf("%d",&n);
    int maxx=0,ind=-1;
    for(int i=1;i<=n;i++)
    {
        int num;scanf("%d",&num);
        if(abs(num)>abs(maxx))
            ind=i,maxx=num;
    }
    if(ind==-1)
    {
        cout<<0<<endl;
        return 0;
    }
    cout<<2*n-1<<endl;
    for(int i=1;i<=n;i++)
        cout<<ind<<" "<<i<<endl;
    if(maxx>0)
        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;
}