<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:
Input:  9 4 2 3 5 4 1 8 9 5 0 1 2 7 1 6 4 6 9 7 5 1 5 9 8 4 5 9 6 1
Output: 4 2 3 5 4 1 8 9 5 0 1 2 7 1 6 4 6 9 7 5 1 5 9 8 4 5 9 6 1 9

Example 2:
Input:  0 0 4 5 9 5 5 7 8 6 4 7 6 7 5 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 4 5 9 5 5 7 8 6 4 7 6 7 5 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0

Example 3:
Input:  3 7 6 7 1 9 2 7 7 5 0 0 0 0 0 0 0 0 7 9 4 5 6 3 5 9 1 8 9 7
Output: 7 6 7 1 9 2 7 7 5 0 0 0 0 0 0 0 0 7 9 4 5 6 3 5 9 1 8 9 7 3

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 7 3 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 6 4 8 2 9 2
Show your work in <think> </think> tags, and return the answer in <answer> </answer> tags with space between each number. For example <answer> 1 3 5 7 </answer>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user