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

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

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

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