<|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:  8 0 5 1 1 6 9 4 6 1 3 1 2 3 4 8 3 7 7 1 1 6 3 8 9 2
Output: 0 5 1 1 6 9 4 6 1 3 1 2 3 4 8 3 7 7 1 1 6 3 8 9 2 8

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

Example 3:
Input:  2 7 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 7 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2

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