<|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:  2 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 4 2 9
Output: 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 4 2 9 2 6

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 5 2 7 3 3 7 6 0 0 0 0 0 0 5 3 7 6 3 5 9 7 9 5 2 4 6 7 8
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