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# Flip

Problem Description

You are given a binary string A(i.e. with characters 0 and 1) consisting of characters A1, A2, ..., AN. In a single operation, you can choose two indices L and R such that 1LRN and flip the characters AL, AL+1, ..., AR. By flipping, we mean change character 0 to 1 and vice-versa.

Your aim is to perform ATMOST one operation such that in final string number of 1s is maximised.

If you don't want to perform the operation, return an empty array. Else, return an array consisting of two elements denoting L and R. If there are multiple solutions, return the lexicographically smallest pair of L and R.

NOTE: Pair (a, b) is lexicographically smaller than pair (c, d) if a < c or, if a == c and b < d.

Problem Constraints

1 <= size of string <= 100000

Input Format

First and only argument is a string A.

Output Format

Return an array of integers denoting the answer.

Example Input

Input 1:

`A = "010"`

Input 2:

`A = "111"`

Example Output

Output 1:

`[1, 1]`

Output 2:

`[]`

Example Explanation

Explanation 1:

```A = "010"

Pair of [L, R] | Final string
____________|__________
[1 1]          | "110"
[1 2]          | "100"
[1 3]          | "101"
[2 2]          | "000"
[2 3]          | "001"

We see that two pairs [1, 1] and [1, 3] give same number of 1s in final string. So, we return [1, 1].
```

Explanation 2:

`No operation can give us more than three 1s in final string. So, we return empty array [].`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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