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

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

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

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