<|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 6 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3
Output: 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 8 6

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

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

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