<|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:  9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 6 7 5 7 1 2 6 3
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 6 7 5 7 1 2 6 3 9

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

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

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