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

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

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

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