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;

long long n, k, vt, x, mx = -1e9, mn = 1e9, vtmx, vtmn;
vector<long long> a;

int main(){
    cin >> n;
    for (int i = 1; i <= n; i++){
        cin >> x, a.push_back(x);
        if (mx < x) mx = x, vtmx = i;
        if (mn > x) mn = x, vtmn = i;
    } 
    if (mx + mn > 0){
        vt = vtmx;
        cout << 2*n - 1 << endl;
        for (int i = 1; i <= n; i++) {
            cout << vt << " " << i << endl;
        }
        for (int i = 1; i < n; i++) {
            cout << i <<" " << i+1 << endl;
        }
    }
    else{
        vt = vtmn;
        cout << 2*n - 1 << endl;
        for (int i = 1; i <= n; i++){
            cout << vt << " " << i << endl;
        }
        for (int i = n; i > 1; i--){
            cout << i << " " << i-1 << endl;
        }
    }
}