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 <iostream>
using namespace std;
int main(void){
    // Your code here!
    int n;
    cin>>n;
    char c[n];
    int MIN=0,MAX=0,ne,po,pu=0,mai=0;
    for(int i=0;i<n;i++){
        int a;
        cin>>a;
        if(a>=0){c[i]='+';pu++;}
        else {c[i]='-';mai++;}
        if(MIN>=a){
            MIN=a;
            ne=i+1;
        }
        if(MAX<=a){
            MAX=a;
            po=i+1;
        }
    }
    if(abs(MIN)<=abs(MAX)){
        cout<<n+mai<<endl;
        for(int i=0;i<n;i++){
            cout<<po<<" "<<i+1<<endl;
            if(c[i]=='-')cout<<po<<" "<<i+1<<endl;
            po=i+1;
        }
    }
    else{
        cout<<n+pu<<endl;
        for(int i=n;i>0;i--){
            cout<<ne<<" "<<i<<endl;
            if(c[i-1]=='+')cout<<ne<<" "<<i<<endl;
            ne=i;
        }
    }
}