You are given a binary string binary
consisting of only 0
's or 1
's. You can apply each of the following operations any number of times:
- Operation 1: If the number contains the substring
"00"
, you can replace it with"10"
.<ul> <li>For example, <code>"<u>00</u>010" -> "<u>10</u>010</code>"</li> </ul> </li> <li>Operation 2: If the number contains the substring <code>"10"</code>, you can replace it with <code>"01"</code>. <ul> <li>For example, <code>"000<u>10</u>" -> "000<u>01</u>"</code></li> </ul> </li>
Return the maximum binary string you can obtain after any number of operations. Binary string x
is greater than binary string y
if x
's decimal representation is greater than y
's decimal representation.
Example 1:
Input: binary = "000110" Output: "111011" Explanation: A valid transformation sequence can be: "000110" -> "000101" "000101" -> "100101" "100101" -> "110101" "110101" -> "110011" "110011" -> "111011"
Example 2:
Input: binary = "01" Output: "01" Explanation: "01" cannot be transformed any further.
Constraints:
1 <= binary.length <= 105
binary
consist of'0'
and'1'
.