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 Rust (1.15.1) (judge verdict: Wrong Answer)

use std::io::stdin;
use std::str::FromStr;

fn main(){
    let n: usize = get_one();
    let xs: Vec<i64> = get_vec();

    let min_i = argmin(&xs);
    let max_i = argmax(&xs);

    if xs[min_i].abs() > xs[max_i].abs() {
        for i in 0..n {
            println!("{} {}", min_i+1, i+1);
        }
        for i in (1..n).rev() {
            println!("{} {}", i+1, i);
        }
    } else {
        for i in 0..n {
            println!("{} {}", max_i+1, i+1);
        }
        for i in (1..n) {
            println!("{} {}", i, i+1);
        }
    }
}

fn argmin(v: &Vec<i64>) -> usize {
    let mut ans = 0;
    let mut m = v[0];
    for i in 1..v.len() {
        if v[i] < m {
            ans = i;
            m = v[i];
        }
    }
    return ans;
}

fn argmax(v: &Vec<i64>) -> usize {
    let mut ans = 0;
    let mut m = v[0];
    for i in 1..v.len() {
        if v[i] > m {
            ans = i;
            m = v[i];
        }
    }
    return ans;
}

#[allow(dead_code)]
fn get_line() -> String {
    let mut s = String::new();
    match stdin().read_line(&mut s){
        Ok(_) => {s.trim().to_string()}
        Err(_) => String::new()
    }
}

#[allow(dead_code)]
fn get_vec<T: std::str::FromStr>() -> Vec<T> {
    let line = get_line();
    line.split_whitespace().filter_map(|x| x.parse().ok()).collect()
}

#[allow(dead_code)]
fn get_one<T: FromStr + Copy>() -> T {
    let v = get_vec();
    v[0]
}

#[allow(dead_code)]
fn get_pair<T: FromStr + Copy>() -> (T, T) {
    let v = get_vec();
    (v[0], v[1])
}

#[allow(dead_code)]
fn get_triple<T: FromStr + Copy>() -> (T, T, T) {
    let v = get_vec();
    (v[0], v[1], v[2])
}

#[allow(dead_code)]
fn get_chars() -> Vec<char> {
    get_line().chars().collect()
}