Smallest Number Following Pattern

easy
1. You are given a pattern of upto 8 length containing characters 'i' and 'd'.
2. 'd' stands for decreasing and 'i' stands for increasing
3. You have to print the smallest number, using the digits 1 to 9 only without repetition, such that 
the digit decreases following a d and increases follwing an i.

e.g.
d -> 21
i -> 12
ddd -> 4321
iii -> 1234
dddiddd -> 43218765
iiddd -> 126543

Input Format

Input is managed for you

Output Format

Smallest sequence of digits (from 1 to 9) without duplicacy and following the pattern

Constraints

0 < str.length <= 8
str contains only 'd' and 'i'

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
ddddiiii
Output
543216789
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