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Problem D
Change b to 01

Languages da en

Change a string of a’s and b’s by replacing each b alternatingly with $0$ and $1$, beginning with $0$.

Input

The input consists of a single line of $l$ letters a or b. We have $1\leq l\leq 500\, 000$.

Output

Output the changed string.

Sample Input 1 Sample Output 1
abba
a01a
Sample Input 2 Sample Output 2
bbab
01a0
Sample Input 3 Sample Output 3
bbbab
010a1
Sample Input 4 Sample Output 4
a
a

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