Problem D
Honour Thy (Apaxian) Parent
While breaking ground for the Obama Presidential Center, which will be located just a few blocks from campus in Jackson Park, archeologists from the Oriental Institute have made an astounding discovery: a new set of scrolls from the ancient and certainly not made-up Apaxian civilization!
It seems that the Apaxian civilization, which the Oriental Institute is starting to suspect may have been way too concerned with string manipulation, provided a way for young Apaxians to extend their name using the name of one of their parents. The basic principle was to take an Apaxian name $Y$, add ex, and then the name $P$ of one of the parents. For example, if $Y$ is menolaxios and $P$ is mox, the extended name is $\texttt{menolaxios}+\texttt{ex}+\texttt{mox}=\texttt{menolaxiosexmox}$
However, there were a few exceptions to this rule:
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If $Y$ ends with e, then the extended name is $Y+\texttt{x}+P$
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If $Y$ ends with any other vowel (a,i,o, or u), we remove that final vowel from $Y$, and then extend $Y$ with $\texttt{ex}+P$
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If $Y$ already ends with ex, then the extended name is simply $Y+P$.
As usual, the Oriental Institute has asked us to help them apply the power of computation to generating these extended names.
Input
The input contains two strings separated by a single space: $Y$ and $P$, as defined above. Each string contains only lowercase English letters, and is at least $2$ characters long and at most $10$ characters long.
Output
The output is a single string containing the extended name, as defined above.
| Sample Input 1 | Sample Output 1 |
|---|---|
menolaxios mox |
menolaxiosexmox |
| Sample Input 2 | Sample Output 2 |
|---|---|
alemaxe maxos |
alemaxexmaxos |
| Sample Input 3 | Sample Output 3 |
|---|---|
pamoli toxes |
pamolextoxes |
| Sample Input 4 | Sample Output 4 |
|---|---|
andrex naxos |
andrexnaxos |
