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:
"00"
, you can
replace it with "10"
.
"00010" -> "10010
""10"
, you can
replace it with "01"
.
"00010" -> "00001"
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'
.