<|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 5 1 8 3 3 2 8 1 5 5 9 1 0
Output: 1 0 0 0 0 0 0 0 0 0 5 1 8 3 3 2 8 1 5 5 9

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 6 9 5 4 0 0 0 1 6 4 2 3 4 9 9 4 5 1 1 9
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