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there are things like jitendex or grammar dicts, but for all of your questions i guess the main point is don't try to complicate things out and just try to learn rather than trying to figure out every single detail
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yes, whenever you can after a few thousands vocab, it will never get better if you don't try
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no
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check this https://donkuri.github.io/learn-japanese/
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yomitan bug; refresh the page when it do
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its frequency numbers
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