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 Ruby (2.3.3) (judge verdict: Wrong Answer)

N = gets.to_i
A = gets.split.map(&:to_i)

minA = A.index A.min
maxA = A.index A.max

ret = []
arr = []

if A[minA].abs < A[maxA].abs
  N.times do |i|
    ret << [maxA, i]
    arr[i] = A[i] + A[maxA]
  end
  (N-1).times do |i|
    if arr[i] > arr[i+1]
      ret << [i, i+1]
      arr[i+1] += arr[i]
    end
  end
else
  N.times do |i|
    ret << [minA, i]
    arr[i] = A[i] + A[minA]
  end
  (N-1).times do |i|
    if arr[N-1-i] < arr[N-2-i]
      ret << [N-1-i, N-2-i]
      arr[N-2-i] += arr[N-1-i]
    end
  end
end

# STDERR.puts arr.join(" ")
# flag = true
# (N-1).times do |i|
#   flag &= arr[i] <= arr[i+1]
# end
# raise unless flag

puts ret.size
ret.each do |x|
  puts x.map{ |y| y+1 }.join(" ")
end