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

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

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

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