Problem:
Score : 600 points

Problem Statement

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.

Sample Input 1

3
-2 5 -1

Sample Output 1

2
2 3
3 3

After the first operation, a = (-2,5,4).

After the second operation, a = (-2,5,8), and the condition is now satisfied.

Sample Input 2

2
-1 -3

Sample Output 2

1
2 1

After the first operation, a = (-4,-3) and the condition is now satisfied.

Sample Input 3

5
0 0 0 0 0

Sample Output 3

0

The condition is satisfied already in the beginning.

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

n = int(input())
A = list(map(int, input().split()))

max_a = max(A)
min_a = min(A)

max_a_ind = A.index(max_a)
min_a_ind = A.index(min_a)

if min_a >= 0:
    check = 'sei'
elif max_a > 0 and min_a < 0:
    check = 'seifu'
else:
    check = 'fu'

if check == 'sei':
    for i in range(n-1):
        print(str(i+1) + ' ' + str(i+2))
elif check == 'fu':
    for i in range(n-2, -1, -1):
        print(str(i+2) + ' ' + str(i+1))
else:
    if abs(max_a) >= abs(min_a):
        for i in range(n):
            print(str(max_a_ind+1) + ' ' + str(i+1))
        for i in range(n-1):
            print(str(i+1) + ' ' + str(i+2))
    else:
        for i in range(n):
            print(str(min_a_ind+1) + ' ' + str(i+1))
        for i in range(n-1, -1, -1):
            print(str(i+2) + ' ' + str(i+1))