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

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

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

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