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 PYTHON3):

Solution:
n = int(input())
A = [int(i) for i in input().split()]

C = []
max_A = max(A)
max_idx = A.index(max_A)
min_A = min(A)
min_idx = A.index(min_A)

if abs(max_A) >= abs(min_A):
    for i in range(n):
        A[i] += max_A
        C.append([max_idx+1, i+1])
    for i in range(1, n):
        A[i] += A[i-1]
        C.append([i, i+1])
else:
    for i in range(n):
        A[i] += min_A
        C.append([min_idx+1, i+1])
    for i in range(n, 1, -1):
        A[i-2] += A[i-1]
        C.append([i, i-1])

#print(A)
print(len(C))
for i, j in C:
    print('{0} {1}'.format(i, j))