<|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 4 9 6 7 3 0 0 0 0 0 0 0 0 0 0 0 1 5 7 4 3 5 6 9 6 4
Output: 7 3 0 0 0 0 0 0 0 0 0 0 0 1 5 7 4 3 5 6 9 6 4 8 4 9 6

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

Example 3:
Input:  7 2 3 4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 3
Output: 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 3 7 2 3 4

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