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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
6 0 0 0 0 0 0 0 0 0 1 2 7 7 3 9 2 8 1 4 9 6 4 7 1 6 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