[Translation from Japanese to English ] I checked the whole program comprehensively and found out that it did not use...

Additional info

Apple社へのiPhoneアプリ審査のお願いです。

Original text

プログラムを全面的にチェックし、non public APIを使っていないことを確認しました。（一部アルゴリズムの変更も行いました）
お手数をおかけして申し訳ありませんが再度審査よろしくお願いします。

Translation / English

I checked the whole program comprehensively and found out that it did not use non public API (also, I altered a part of algorithm).
I apologize for any inconvinience. Please check it again. Thank you.

Best regards,

Translation / English

I have checked all aspects of the program and it was confirmed that non public API was used. (We also changed a part of the algorithm)
I'm sorry for the inconvenience but please do a re-examination.

Translation / English

I was sure you are not using a non public API to check all aspects of program(We also changed some of the algorithm)
Thank you for examination again and Sorry for the inconvenience.

Translation / English

I checked the program overall, and confirmed that we're not using a non public API. (I also changed a part of the algorithm.)
I apologize for the trouble, but please examine it again.