Sorting Table is wrong when the sort button be pressed more than once?

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No where do you actually tell the TableModel that it’s contents have changed…

Now, the thing that weirds me out, is you are keeping a Vector of the rows outside of the model…

mS.merge_sort(0, rows.size()-1, n);
temp.setSize(rows.size());
for(int i=0;i<index;i++){
    temp.set(i, rows.get(n[i].ind()));
}
for(int i=0;i<index;i++){
    rows.set(i, temp.get(i)); // This is doing nothing...
}

Once the data has been handed to the table model, you should not be interacting with it, unless you are willing to notify the table model of the changes.

Personally, I would simply use the inbuilt sorting capabilities of the JTable

ps- I would also, strongly, encourage you to learn how to use layout managers, they will save your sanity in the long run

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