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

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

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

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