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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 4 0 0 0 0 0 0 0 0 0 9 3 1 4 3 6 4 4 8 7 1 3 4 5 3 6 2 7 2
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