A9041 | Yaroslav and Algorithm

Yaroslav likes algorithms. We'll describe one of his favorite algorithms.

1. The algorithm receives a string as the input. We denote this input string as $a$ .
2. The algorithm consists of some number of command. Сommand number $i$ looks either as $s_{i}$ >> $w_{i}$ , or as $s_{i}$ <> $w_{i}$ , where $s_{i}$ and $w_{i}$ are some possibly empty strings of length at most $7$ , consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index $i$ , such that $s_{i}$ occurs in $a$ as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as $k$ . In string $a$ the first occurrence of the string $s_{k}$ is replaced by string $w_{k}$ . If the found command at that had form $s_{k}$ >> $w_{k}$ , then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string $a$ after algorithm termination is considered to be the output of the algorithm.

Yaroslav has a set of $n$ positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.

Help Yaroslav.

The first line contains integer $n$ $(1<=n<=100)$ — the number of elements in the set. The next $n$ lines contains one positive integer each. All the given numbers are less than $10^{25}$ .

Print the algorithm which can individually increase each number of the set. In the $i$ -th line print the command number $i$ without spaces.

Your algorithm will be launched for each of these numbers. The answer will be considered correct if:

- Each line will a correct algorithm command (see the description in the problem statement).
- The number of commands should not exceed $50$ .
- The algorithm will increase each of the given numbers by one.
- To get a respond, the algorithm will perform no more than $200$ iterations for each number.