<|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:  1 4 3 5 9 9 1 5 7 2 1 8 6 0 0 0 0 0 0 0 0 0 8 5 1 5 8 7
Output: 3 5 9 9 1 5 7 2 1 8 6 0 0 0 0 0 0 0 0 0 8 5 1 5 8 7 1 4

Example 2:
Input:  0 0 7 4 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 7 4 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 3 6 9 3 9 4 6 3 4 6 0 0 0 0 0 0 0 0 0 0 0 1 4 1 2 3 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