Vasily Tadokorov is a stringologist. He thinks a string is fragrant if it can be divided into two parts: nunhehheh as the prefix and a number of (excluding $$$0$$$) a as the suffix. For example, nunhehhehaaaaaa is fragrant, but nunhehheh and nunhehhehoooaaa are not fragrant.
Today Vasily Tadokorov has some strings consisting of lowercase English letters. For each string, he wants to know how many subsequences of this string are fragrant. A string $$$a$$$ is a subsequence of a string $$$b$$$ if $$$a$$$ can be obtained from $$$b$$$ by deletion of several (including $$$0$$$) characters.
The above is a problem of string that Vasily came up with. As we know, a problem usually has several examples for better understanding. However, Vasily gets buried in making some fragrant examples. After 2000 years, he finally makes two perfect examples as follows.
Example 1:
Example 2:
Vasily is not clever enough. He doesn't want to work for another 2000 years, so he asks you for help. He gives you $$$T$$$ tasks, each of which contains an integer $$$n$$$, and you should construct a string consisting of only lowercase English letters that has exactly $$$n$$$ fragrant subsequences.
The first line contains an integer $$$T$$$ ($$$1 \leq T \leq 1000$$$), denoting the number of tasks.
Each of the next $$$T$$$ lines contains an integer $$$n$$$ ($$$0 \leq n \leq 10^9$$$).
For each test case, output one string consisting of only lowercase English letters in a single line indicating the answer. You need to ensure that the sum of the length over all the output strings does not exceed $$$10^6$$$. It can be proved that a solution always exists. If there are multiple solutions, print any.
2 114514 1919810
nunhehhehahaahahahahahahaahaahahahahha nunhehhehhehhahaahahahaahaahahaaaahaa
