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+{"segments": [{"id": 1, "seek": 3788, "start": 20.84, "end": 37.88, "text": "بسم الله الرحمن الرحيم المحاضرة رقم 31 مساق نظرية الأعداد طلاب الجامعة الإسلامية قسم الرياضيات كليتي العلوم والتربية هنكمل اليوم الحديث عن", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 10353, 47524, 995, 4587, 8717, 19913, 2288, 10632, 16247, 22488, 18513, 23032, 15040, 3555, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 2423, 16572, 46958, 1829, 9307, 9122, 20292, 31371, 18863, 1211, 20498, 16070, 2655, 25513, 10632, 8032, 1863, 24793, 1211, 45595, 20498, 21542, 16254, 12984, 18871], "avg_logprob": -0.13125, "compression_ratio": 1.7094594594594594, "no_speech_prob": 8.285045623779297e-06, "words": [{"start": 20.84, "end": 21.32, "word": "بسم", "probability": 0.8642578125}, {"start": 21.32, "end": 21.52, "word": " الله", "probability": 0.947265625}, {"start": 21.52, "end": 21.9, "word": " الرحمن", "probability": 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"text": "بالظبط إيش بنقول؟ بنقول الميالي if M أكبر strictly من N و N أكبر يساوي سفر then the greatest common divisor بين الـFM والـFN لازم يساوي إيش؟", "tokens": [3555, 6027, 19913, 3555, 9566, 11933, 1829, 8592, 44945, 39648, 22807, 44945, 39648, 9673, 1829, 6027, 1829, 498, 376, 5551, 4117, 26890, 20792, 9154, 426, 4032, 426, 5551, 4117, 26890, 7251, 3794, 995, 45865, 8608, 5172, 2288, 550, 264, 6636, 2689, 25974, 284, 49374, 2423, 39184, 37, 44, 16070, 39184, 37, 45, 5296, 31377, 2304, 7251, 3794, 995, 45865, 11933, 1829, 8592, 22807], "avg_logprob": -0.24926756601780653, "compression_ratio": 1.3660130718954249, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1035.16, "end": 1035.78, "word": "بالظبط", "probability": 0.81767578125}, {"start": 1035.78, "end": 1035.92, "word": " إيش", "probability": 0.7128092447916666}, {"start": 1035.92, "end": 1037.1, "word": " بنقول؟", "probability": 0.7560221354166666}, {"start": 1037.1, "end": 1037.48, "word": " بنقول", "probability": 0.858154296875}, {"start": 1037.48, "end": 1038.28, "word": " ا��ميالي", "probability": 0.8238525390625}, {"start": 1038.28, "end": 1039.44, "word": " if", "probability": 0.284423828125}, {"start": 1039.44, "end": 1041.1, "word": " M", "probability": 0.56787109375}, {"start": 1041.1, "end": 1041.72, "word": " أكبر", "probability": 0.9140625}, {"start": 1041.72, "end": 1042.26, "word": " strictly", "probability": 0.79296875}, {"start": 1042.26, "end": 1042.6, "word": " من", "probability": 0.99072265625}, {"start": 1042.6, "end": 1042.9, "word": " N", "probability": 0.8603515625}, {"start": 1042.9, "end": 1043.1, "word": " و", "probability": 0.8828125}, {"start": 1043.1, "end": 1043.26, "word": " N", "probability": 0.53271484375}, {"start": 1043.26, "end": 1043.64, "word": " أكبر", "probability": 0.9842122395833334}, {"start": 1043.64, "end": 1043.92, "word": " يساوي", "probability": 0.797607421875}, {"start": 1043.92, "end": 1044.38, "word": " سفر", "probability": 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1053.37, "end": 1078.31, "text": "واحد يعني any two distinct relative any two distinct Fermat's number must be relatively prime in pairs او نفترض الآن ان العامل المشترك الأعلى بين ال Fm وال Fn بيساوي D ونتبت ان ال D ايش بيساوي واحد اذا بدنا نقول suppose that suppose", "tokens": [14407, 24401, 37495, 22653, 604, 732, 10644, 4972, 604, 732, 10644, 43261, 267, 311, 1230, 1633, 312, 7226, 5835, 294, 15494, 1975, 2407, 8717, 5172, 2655, 43042, 6024, 48506, 16472, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 16247, 3615, 23942, 49374, 2423, 479, 76, 16070, 479, 77, 4724, 1829, 3794, 995, 45865, 413, 4032, 29399, 3555, 2655, 16472, 2423, 413, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 36764, 24401, 1975, 15730, 47525, 8315, 8717, 39648, 7297, 300, 7297], "avg_logprob": -0.3015625014901161, "compression_ratio": 1.541062801932367, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1053.37, "end": 1053.91, "word": "واحد", "probability": 0.5122909545898438}, {"start": 1053.91, 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"end": 1136.11, "text": "divides الافقان ناقص اتنين بدي اثبتلك هيك هاي واحد ومن هنا هتكون ال D بتكسب الافقان صح ولا لأ العامل المشترك اللي على بين افقان وافقان ايش بيساوي دي اذا ال D بتكسب الافقان وD بتكسب مين الافقان مدام D بتكسب الافقان وانا اثبتت هذه بكون بصير ال D بتكسب الافقان", "tokens": [67, 1843, 279, 2423, 31845, 4587, 7649, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4724, 16254, 1975, 12984, 3555, 2655, 23275, 39896, 4117, 8032, 47302, 36764, 24401, 4032, 27842, 34105, 8032, 2655, 30544, 2423, 413, 39894, 4117, 35457, 2423, 31845, 4587, 7649, 20328, 5016, 49429, 5296, 10721, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 13672, 1829, 15844, 49374, 1975, 5172, 4587, 7649, 4032, 31845, 4587, 7649, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 11778, 1829, 1975, 15730, 2423, 413, 39894, 4117, 35457, 2423, 31845, 4587, 7649, 4032, 35, 39894, 4117, 35457, 3714, 9957, 2423, 31845, 4587, 7649, 3714, 3215, 10943, 413, 39894, 4117, 35457, 2423, 31845, 4587, 7649, 4032, 7649, 995, 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0.6588134765625}, {"start": 1548.42, "end": 1549.04, "word": " الآن", "probability": 0.74560546875}, {"start": 1549.04, "end": 1551.32, "word": " لتحدث", "probability": 0.66693115234375}, {"start": 1551.32, "end": 1553.22, "word": " عن", "probability": 0.4306640625}, {"start": 1553.22, "end": 1553.74, "word": " chapter", "probability": 0.82666015625}, {"start": 1553.74, "end": 1554.3, "word": " 8", "probability": 0.9609375}], "temperature": 1.0}, {"id": 65, "seek": 158902, "start": 1560.62, "end": 1589.02, "text": "نشوف الآن شبتر تمانية اللي هو primitive roots and indices primitive roots and indices هنبدأ في أول section اللي هو the order of an integer modulo n the order of an integer modulo n المرة الماضية حكينا شوية عن شبتر تمانية لأنه لزمنا في برهان إحدى النظريات", "tokens": [1863, 8592, 38688, 6024, 48506, 13412, 3555, 2655, 2288, 46811, 7649, 10632, 13672, 1829, 31439, 28540, 10669, 293, 43840, 28540, 10669, 293, 43840, 8032, 1863, 44510, 10721, 8978, 5551, 12610, 3541, 13672, 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{"start": 1572.14, "end": 1572.36, "word": " اللي", "probability": 0.96435546875}, {"start": 1572.36, "end": 1572.58, "word": " هو", "probability": 0.98876953125}, {"start": 1572.58, "end": 1572.76, "word": " the", "probability": 0.46337890625}, {"start": 1572.76, "end": 1573.36, "word": " order", "probability": 0.95068359375}, {"start": 1573.36, "end": 1574.16, "word": " of", "probability": 0.974609375}, {"start": 1574.16, "end": 1574.52, "word": " an", "probability": 0.546875}, {"start": 1574.52, "end": 1575.02, "word": " integer", "probability": 0.89306640625}, {"start": 1575.02, "end": 1576.04, "word": " modulo", "probability": 0.962890625}, {"start": 1576.04, "end": 1576.44, "word": " n", "probability": 0.62255859375}, {"start": 1576.44, "end": 1577.1, "word": " the", "probability": 0.292236328125}, {"start": 1577.1, "end": 1577.56, "word": " order", "probability": 0.95849609375}, {"start": 1577.56, "end": 1577.9, "word": " of", "probability": 0.978515625}, {"start": 1577.9, 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1642.86, "word": " واحد", "probability": 0.9736328125}, {"start": 1642.86, "end": 1643.64, "word": " لأن", "probability": 0.73828125}, {"start": 1643.64, "end": 1644.16, "word": " بنقول", "probability": 0.7991536458333334}, {"start": 1644.16, "end": 1644.64, "word": " then", "probability": 0.7880859375}], "temperature": 1.0}, {"id": 68, "seek": 167377, "start": 1646.05, "end": 1673.77, "text": "الحركة .. الحركة لـ a modulo n هي k إذا كان k أقصى إتجار صحيح لإن", "tokens": [6027, 5016, 31747, 3660, 4386, 21542, 31747, 3660, 5296, 39184, 257, 1072, 13455, 297, 39896, 350, 11933, 15730, 25961, 350, 5551, 4587, 9381, 7578, 11933, 2655, 7435, 9640, 20328, 5016, 1829, 5016, 5296, 28814, 1863], "avg_logprob": -0.7703993221124014, "compression_ratio": 1.1195652173913044, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1646.05, "end": 1647.45, "word": "الحركة", "probability": 0.459716796875}, {"start": 1647.45, "end": 1647.45, "word": " ..", "probability": 0.51953125}, {"start": 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1670.35, "end": 1670.35, "word": " صحيح", "probability": 0.6720428466796875}, {"start": 1670.35, "end": 1673.77, "word": " لإن", "probability": 0.4618326822916667}], "temperature": 1.0}, {"id": 69, "seek": 170124, "start": 1674.1, "end": 1701.24, "text": "اتنين أس كتطابق الواحد أسف ا أس كتطابق الواحد مودولو N كمان مرة بنقول ان ال order لل A مودولو N ال order لل A مودولو N ال order of A مودولو N بتساوي K", "tokens": [9307, 1863, 9957, 5551, 3794, 9122, 2655, 9566, 16758, 4587, 2423, 14407, 24401, 5551, 3794, 5172, 1975, 5551, 3794, 9122, 2655, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 23328, 12610, 2407, 426, 9122, 2304, 7649, 3714, 25720, 44945, 39648, 16472, 2423, 1668, 24976, 316, 3714, 23328, 12610, 2407, 426, 2423, 1668, 24976, 316, 3714, 23328, 12610, 2407, 426, 2423, 1668, 295, 316, 3714, 23328, 12610, 2407, 426, 39894, 3794, 995, 45865, 591], "avg_logprob": -0.2412243134354892, "compression_ratio": 1.9754098360655739, "no_speech_prob": 0.0, "words": [{"start": 1674.1, "end": 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أصغر integer positive integer بحيث أنه اتنين to the K تطابق الواحد الـA to the K تطابق الواحد مدنمين مدلؤا يعني بمعنى أخر التعريف يحمل في طياته شرطين", "tokens": [28814, 15730, 6055, 5016, 4587, 4587, 19446, 7251, 20292, 14739, 3224, 7251, 30544, 591, 31439, 6225, 3555, 9640, 3660, 18871, 5551, 9381, 17082, 2288, 24922, 3353, 24922, 4724, 5016, 1829, 12984, 14739, 3224, 1975, 2655, 1863, 9957, 281, 264, 591, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 2423, 39184, 32, 281, 264, 591, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 3215, 1863, 2304, 9957, 3714, 3215, 1211, 33604, 995, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 16712, 3615, 16572, 5172, 7251, 35571, 1211, 8978, 23032, 1829, 9307, 3224, 13412, 2288, 9566, 9957], "avg_logprob": -0.21484375620881715, "compression_ratio": 1.6203208556149733, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1702.79, "end": 1703.17, "word": "إذا", "probability": 0.9306640625}, {"start": 1703.17, "end": 1703.87, 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integer", "probability": 0.9765625}, {"start": 1711.65, "end": 1712.65, "word": " بحيث", "probability": 0.93310546875}, {"start": 1712.65, "end": 1712.93, "word": " أنه", "probability": 0.4842529296875}, {"start": 1712.93, "end": 1713.25, "word": " اتنين", "probability": 0.720489501953125}, {"start": 1713.25, "end": 1713.43, "word": " to", "probability": 0.880859375}, {"start": 1713.43, "end": 1713.59, "word": " the", "probability": 0.86669921875}, {"start": 1713.59, "end": 1713.79, "word": " K", "probability": 0.63818359375}, {"start": 1713.79, "end": 1714.35, "word": " تطابق", "probability": 0.96142578125}, {"start": 1714.35, "end": 1715.19, "word": " الواحد", "probability": 0.9910481770833334}, {"start": 1715.19, "end": 1716.35, "word": " الـA", "probability": 0.5092366536458334}, {"start": 1716.35, "end": 1716.47, "word": " to", "probability": 0.91845703125}, {"start": 1716.47, "end": 1716.61, "word": " the", "probability": 0.91552734375}, {"start": 1716.61, "end": 1716.75, "word": " K", "probability": 0.94189453125}, {"start": 1716.75, "end": 1717.21, "word": " تطابق", "probability": 0.9859619140625}, {"start": 1717.21, "end": 1717.55, "word": " الواحد", "probability": 0.9952799479166666}, {"start": 1717.55, "end": 1718.59, "word": " مدنمين", "probability": 0.487744140625}, {"start": 1718.59, "end": 1719.83, "word": " مدلؤا", "probability": 0.623779296875}, {"start": 1719.83, "end": 1721.09, "word": " يعني", "probability": 0.80322265625}, {"start": 1721.09, "end": 1721.47, "word": " بمعنى", "probability": 0.9828125}, {"start": 1721.47, "end": 1721.99, "word": " أخر", "probability": 0.7861328125}, {"start": 1721.99, "end": 1723.23, "word": " التعريف", "probability": 0.98681640625}, {"start": 1723.23, "end": 1723.59, "word": " يحمل", "probability": 0.98779296875}, {"start": 1723.59, "end": 1723.73, "word": " في", "probability": 0.9580078125}, {"start": 1723.73, "end": 1724.25, "word": " طياته", "probability": 0.9337158203125}, {"start": 1724.25, "end": 1724.77, 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اصلا", "probability": 0.8984375}], "temperature": 1.0}, {"id": 75, "seek": 183672, "start": 1811.66, "end": 1836.72, "text": "لو كان العامل المشترك الأعلى بين الـA والـN أكبر من واحد فليس هناك إمكانية بأي حال من الأحوال أن نجد الـA تدكت وطابق الواحد مظلمين مدلؤا يعني بمعنى أخر أصلا لو لم نحكي أن العامل المشترك الأعلى بين الـA والـN بتساوي واحد ضمنيا سنكون سيرنا بعد ذلك فاهمين أننا نقصد", "tokens": [1211, 2407, 25961, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 16247, 3615, 23942, 49374, 2423, 39184, 32, 16070, 39184, 45, 5551, 4117, 26890, 9154, 36764, 24401, 6156, 20292, 3794, 34105, 4117, 11933, 2304, 41361, 10632, 4724, 10721, 1829, 11331, 6027, 9154, 16247, 5016, 2407, 6027, 14739, 8717, 7435, 3215, 2423, 39184, 32, 6055, 3215, 4117, 2655, 4032, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 19913, 19528, 9957, 3714, 3215, 1211, 33604, 995, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 5551, 9381, 15040, 45164, 32767, 8717, 5016, 4117, 1829, 14739, 18863, 10943, 1211, 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1912.78, "end": 1913.36, "word": "أثنين", "probability": 0.6226806640625}, {"start": 1913.36, "end": 1914.2, "word": " والثلاثة", "probability": 0.8715006510416666}, {"start": 1914.2, "end": 1914.58, "word": " هي", "probability": 0.28662109375}, {"start": 1914.58, "end": 1916.3, "word": " تمالية", "probability": 0.8024088541666666}, {"start": 1916.3, "end": 1916.78, "word": " ايش", "probability": 0.5171305338541666}, {"start": 1916.78, "end": 1917.48, "word": " بالطبق", "probability": 0.8031005859375}, {"start": 1917.48, "end": 1918.62, "word": " واحد", "probability": 0.658203125}, {"start": 1918.62, "end": 1919.48, "word": " مضلوا", "probability": 0.561279296875}, {"start": 1919.48, "end": 1920.02, "word": " سبعة", "probability": 0.92333984375}, {"start": 1920.02, "end": 1921.12, "word": " هذول", "probability": 0.7522786458333334}, {"start": 1921.12, "end": 1921.48, "word": " مع", "probability": 0.9208984375}, {"start": 1921.48, "end": 1921.82, "word": " بعض", "probability": 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اتنين والثلاثة تتوابق مين الواحد اذا ال order للاتنين modulo 17 بيساوي تلاتة الآن نشوف اللي هو اللي بعده", "tokens": [2655, 1211, 9307, 3660, 31439, 264, 16998, 24922, 3353, 24922, 4724, 5016, 1829, 12984, 16472, 1975, 2655, 1863, 9957, 16070, 12984, 1211, 5718, 104, 3660, 6055, 2655, 2407, 16758, 4587, 3714, 9957, 2423, 14407, 24401, 1975, 15730, 2423, 1668, 24976, 9307, 1863, 9957, 1072, 13455, 3282, 4724, 1829, 3794, 995, 45865, 6055, 1211, 9307, 3660, 6024, 48506, 8717, 8592, 38688, 13672, 1829, 31439, 13672, 1829, 39182, 3224], "avg_logprob": -0.3232996323529412, "compression_ratio": 1.4497041420118344, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1931.0, "end": 1931.58, "word": "تلاتة", "probability": 0.7550048828125}, {"start": 1931.58, "end": 1931.98, "word": " هو", "probability": 0.7392578125}, {"start": 1931.98, "end": 1932.14, "word": " the", "probability": 0.1571044921875}, {"start": 1932.14, "end": 1932.62, "word": " smallest", "probability": 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بعده", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 81, "seek": 197079, "start": 1945.47, "end": 1970.79, "text": "الـ order للتلاتة modulo تمانية لو جيت أخدي التلاتة هتكون طبعا تلاتة أقصى واحد تطابق التلاتة modulo تمانية تلاتة تربيع تطابق تلاتة في تلاتة بتسعة بتطابق من الواحد modulo تمانية وهذا مع بعض يقول لي إذا ال order للتلاتة modulo تمانية إيش بيساوي اتنين", "tokens": [6027, 39184, 1668, 24976, 2655, 1211, 9307, 3660, 1072, 13455, 46811, 7649, 10632, 45164, 10874, 36081, 5551, 9778, 16254, 16712, 1211, 9307, 3660, 8032, 2655, 30544, 23032, 3555, 3615, 995, 6055, 1211, 9307, 3660, 5551, 4587, 9381, 7578, 36764, 24401, 6055, 9566, 16758, 4587, 16712, 1211, 9307, 3660, 1072, 13455, 46811, 7649, 10632, 6055, 1211, 9307, 3660, 6055, 2288, 21292, 3615, 6055, 9566, 16758, 4587, 6055, 1211, 9307, 3660, 8978, 6055, 1211, 9307, 3660, 39894, 3794, 27884, 39894, 9566, 16758, 4587, 9154, 2423, 14407, 24401, 1072, 13455, 46811, 7649, 10632, 37037, 15730, 20449, 45030, 11242, 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{"start": 1948.73, "end": 1949.37, "word": " التلاتة", "probability": 0.9744873046875}, {"start": 1949.37, "end": 1949.79, "word": " هتكون", "probability": 0.7911783854166666}, {"start": 1949.79, "end": 1950.11, "word": " طبعا", "probability": 0.9478759765625}, {"start": 1950.11, "end": 1950.41, "word": " تلاتة", "probability": 0.833740234375}, {"start": 1950.41, "end": 1950.63, "word": " أقصى", "probability": 0.685791015625}, {"start": 1950.63, "end": 1950.89, "word": " واحد", "probability": 0.984619140625}, {"start": 1950.89, "end": 1951.27, "word": " تطابق", "probability": 0.9354248046875}, {"start": 1951.27, "end": 1951.73, "word": " التلاتة", "probability": 0.9344482421875}, {"start": 1951.73, "end": 1952.23, "word": " modulo", "probability": 0.924560546875}, {"start": 1952.23, "end": 1953.53, "word": " تمانية", "probability": 0.93701171875}, {"start": 1953.53, "end": 1954.55, "word": " تلاتة", "probability": 0.961181640625}, {"start": 1954.55, "end": 1955.21, "word": " تربيع", 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1970.79, "word": " اتنين", "probability": 0.77099609375}], "temperature": 1.0}, {"id": 82, "seek": 199310, "start": 1978.04, "end": 1993.1, "text": "الخمسة تطابق اتنين مدنه مين مدنه تلاتة الخمسة وعشرين معايا تطابق", "tokens": [6027, 9778, 2304, 3794, 3660, 6055, 9566, 16758, 4587, 1975, 2655, 1863, 9957, 3714, 3215, 1863, 3224, 3714, 9957, 3714, 3215, 1863, 3224, 6055, 1211, 9307, 3660, 33962, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 20449, 995, 25528, 6055, 9566, 16758, 4587], "avg_logprob": -0.29233285438182743, "compression_ratio": 1.4936708860759493, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1978.0399999999997, "end": 1979.4399999999998, "word": "الخمسة", "probability": 0.5767822265625}, {"start": 1979.4399999999998, "end": 1980.84, "word": " تطابق", "probability": 0.822265625}, {"start": 1980.84, "end": 1981.82, "word": " اتنين", "probability": 0.7501373291015625}, {"start": 1981.82, "end": 1982.7, "word": " مدنه", "probability": 0.7626953125}, {"start": 1982.7, "end": 1983.16, "word": " مين", "probability": 0.8681640625}, {"start": 1983.16, "end": 1984.48, "word": " مدنه", "probability": 0.861083984375}, {"start": 1984.48, "end": 1985.06, "word": " تلاتة", "probability": 0.8699951171875}, {"start": 1985.06, "end": 1986.98, "word": " الخمسة", "probability": 0.9239501953125}, {"start": 1986.98, "end": 1988.66, "word": " وعشرين", "probability": 0.883056640625}, {"start": 1988.66, "end": 1989.18, "word": " معايا", "probability": 0.8678385416666666}, {"start": 1989.18, "end": 1993.1, "word": " تطابق", "probability": 0.85089111328125}], "temperature": 1.0}, {"id": 83, "seek": 202002, "start": 1995.06, "end": 2020.02, "text": "أربعة مدلوا تلاتة او واحد او واحد مدلوا تلاتة خلصنا اذا ال order لالخمسة لالتلاتة على الخمسة مدلوا تلاتة ايش هيساوي اتنى لو جينا سألنا قولنا find كمان ال order لاللي هو الستة مدلوا عشرة", "tokens": [10721, 25513, 27884, 3714, 3215, 1211, 14407, 6055, 1211, 9307, 3660, 1975, 2407, 36764, 24401, 1975, 2407, 36764, 24401, 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"word": " واحد", "probability": 0.987548828125}, {"start": 1997.32, "end": 1997.5, "word": " او", "probability": 0.6114501953125}, {"start": 1997.5, "end": 1998.08, "word": " واحد", "probability": 0.9814453125}, {"start": 1998.08, "end": 1998.84, "word": " مدلوا", "probability": 0.9501953125}, {"start": 1998.84, "end": 1999.32, "word": " تلاتة", "probability": 0.9744873046875}, {"start": 1999.32, "end": 1999.94, "word": " خلصنا", "probability": 0.914306640625}, {"start": 1999.94, "end": 2000.58, "word": " اذا", "probability": 0.6688232421875}, {"start": 2000.58, "end": 2000.76, "word": " ال", "probability": 0.8818359375}, {"start": 2000.76, "end": 2001.36, "word": " order", "probability": 0.91259765625}, {"start": 2001.36, "end": 2003.02, "word": " لالخمسة", "probability": 0.6773274739583334}, {"start": 2003.02, "end": 2003.88, "word": " لالتلاتة", "probability": 0.7881266276041666}, {"start": 2003.88, "end": 2004.14, "word": " على", "probability": 0.5712890625}, {"start": 2004.14, "end": 2005.32, "word": " الخمسة", "probability": 0.9833984375}, {"start": 2005.32, "end": 2005.9, "word": " مدلوا", "probability": 0.97216796875}, {"start": 2005.9, "end": 2006.26, "word": " تلاتة", "probability": 0.9774169921875}, {"start": 2006.26, "end": 2006.44, "word": " ايش", "probability": 0.84375}, {"start": 2006.44, "end": 2007.06, "word": " هيساوي", "probability": 0.8216552734375}, {"start": 2007.06, "end": 2008.86, "word": " اتنى", "probability": 0.840576171875}, {"start": 2008.86, "end": 2010.06, "word": " لو", "probability": 0.90625}, {"start": 2010.06, "end": 2010.34, "word": " جينا", "probability": 0.974609375}, {"start": 2010.34, "end": 2011.02, "word": " سألنا", "probability": 0.9141845703125}, {"start": 2011.02, "end": 2012.62, "word": " قولنا", "probability": 0.6939290364583334}, {"start": 2012.62, "end": 2013.84, "word": " find", "probability": 0.91015625}, {"start": 2013.84, "end": 2014.32, "word": " كمان", "probability": 0.9622395833333334}, {"start": 2014.32, 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{"start": 2077.6, "end": 2078.98, "word": " لها", "probability": 0.983154296875}, {"start": 2078.98, "end": 2079.56, "word": " نفس", "probability": 0.99853515625}, {"start": 2079.56, "end": 2079.82, "word": " ال", "probability": 0.95947265625}, {"start": 2079.82, "end": 2080.28, "word": " order", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 86, "seek": 210603, "start": 2081.51, "end": 2106.03, "text": "معايا الأعداد المتطابقة لها نفس الأرض إيش بقول ليه؟ بقول معايا ليه المرحضة الأولى if ال a تطابق ال b modulo n then", "tokens": [2304, 3615, 995, 25528, 16247, 22488, 18513, 9673, 2655, 9566, 16758, 28671, 5296, 11296, 8717, 36178, 16247, 43042, 11933, 1829, 8592, 4724, 39648, 32239, 3224, 22807, 4724, 39648, 20449, 995, 25528, 32239, 3224, 9673, 2288, 5016, 11242, 3660, 16247, 12610, 7578, 498, 2423, 257, 6055, 9566, 16758, 4587, 2423, 272, 1072, 13455, 297, 550], "avg_logprob": -0.20184659632769497, "compression_ratio": 1.4806201550387597, "no_speech_prob": 0.0, "words": 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"text": "الـ order للـ A modulo N بيساوي ال order لل B modulo H N هذا provided that أن ال A و ال N و ال B و ال N are relatively upright a proof بدنا نفترض نفترض الآن أن ال order let", "tokens": [6027, 39184, 1668, 24976, 39184, 316, 1072, 13455, 426, 4724, 1829, 3794, 995, 45865, 2423, 1668, 24976, 363, 1072, 13455, 389, 426, 23758, 5649, 300, 14739, 2423, 316, 4032, 2423, 426, 4032, 2423, 363, 4032, 2423, 426, 366, 7226, 27405, 257, 8177, 47525, 8315, 8717, 5172, 2655, 43042, 8717, 5172, 2655, 43042, 6024, 48506, 14739, 2423, 1668, 718], "avg_logprob": -0.33077330811549044, "compression_ratio": 1.4487179487179487, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2107.01, "end": 2107.33, "word": "الـ", "probability": 0.5616455078125}, {"start": 2107.33, "end": 2107.73, "word": " order", "probability": 0.5693359375}, {"start": 2107.73, "end": 2108.19, "word": " للـ", "probability": 0.7041015625}, {"start": 2108.19, "end": 2108.47, "word": " A", "probability": 0.56103515625}, 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order", "probability": 0.95068359375}, {"start": 2135.71, "end": 2136.61, "word": " let", "probability": 0.77587890625}], "temperature": 1.0}, {"id": 88, "seek": 216684, "start": 2138.38, "end": 2166.84, "text": "الـ order للـ A modulo N بتساوي K معايا؟ نفترض إن ال order لل A modulo N بتساوي K بدأ تربط لك إن ال order لل B modulo N أيش بتساوي برضه؟ K إيش معناته هذا؟ معناته then شغل T الشغل الأولى الدول A to the K تطابق الواحد modulo N هاي واحد اتنين and", "tokens": [6027, 39184, 1668, 24976, 39184, 316, 1072, 13455, 426, 39894, 3794, 995, 45865, 591, 20449, 995, 25528, 22807, 8717, 5172, 2655, 43042, 36145, 2423, 1668, 24976, 316, 1072, 13455, 426, 39894, 3794, 995, 45865, 591, 47525, 10721, 6055, 25513, 9566, 5296, 4117, 36145, 2423, 1668, 24976, 363, 1072, 13455, 426, 36632, 8592, 39894, 3794, 995, 45865, 4724, 43042, 3224, 22807, 591, 11933, 1829, 8592, 20449, 8315, 47395, 23758, 22807, 20449, 8315, 47395, 550, 13412, 17082, 1211, 314, 25124, 17082, 1211, 16247, 12610, 7578, 32748, 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{"start": 2159.24, "end": 2159.42, "word": " the", "probability": 0.8994140625}, {"start": 2159.42, "end": 2159.88, "word": " K", "probability": 0.97509765625}, {"start": 2159.88, "end": 2161.08, "word": " تطابق", "probability": 0.94970703125}, {"start": 2161.08, "end": 2162.24, "word": " الواحد", "probability": 0.9723307291666666}, {"start": 2162.24, "end": 2162.98, "word": " modulo", "probability": 0.9375}, {"start": 2162.98, "end": 2163.26, "word": " N", "probability": 0.99169921875}, {"start": 2163.26, "end": 2163.98, "word": " هاي", "probability": 0.6107177734375}, {"start": 2163.98, "end": 2164.42, "word": " واحد", "probability": 0.970947265625}, {"start": 2164.42, "end": 2165.84, "word": " اتنين", "probability": 0.915771484375}, {"start": 2165.84, "end": 2166.84, "word": " and", "probability": 0.82177734375}], "temperature": 1.0}, {"id": 89, "seek": 219219, "start": 2167.58, "end": 2192.2, "text": "الـ A to the T لا تطابق الواحد modulo N for every T اللي هو الـ T أكبر من واحد أو أكبر من سفر وأصغر من مين من الـ K نهاية هذا التعريف", "tokens": [6027, 39184, 316, 281, 264, 314, 20193, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 426, 337, 633, 314, 13672, 1829, 31439, 2423, 39184, 314, 5551, 4117, 26890, 9154, 36764, 24401, 34051, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 36725, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 2423, 39184, 591, 8717, 11296, 10632, 23758, 16712, 3615, 16572, 5172], "avg_logprob": -0.1923177013794581, "compression_ratio": 1.3933333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2167.58, "end": 2168.02, "word": "الـ", "probability": 0.91064453125}, {"start": 2168.02, "end": 2168.28, "word": " A", "probability": 0.428955078125}, {"start": 2168.28, "end": 2168.42, "word": " to", "probability": 0.394287109375}, {"start": 2168.42, "end": 2168.56, "word": " the", "probability": 0.9150390625}, {"start": 2168.56, "end": 2168.96, "word": " T", "probability": 0.95947265625}, {"start": 2168.96, "end": 2169.72, 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and", "probability": 0.394775390625}, {"start": 2207.64, "end": 2207.88, "word": " A", "probability": 0.8935546875}, {"start": 2207.88, "end": 2208.08, "word": " T", "probability": 0.316162109375}, {"start": 2208.08, "end": 2208.34, "word": " لات", "probability": 0.781494140625}, {"start": 2208.34, "end": 2208.74, "word": " تطابق", "probability": 0.947509765625}, {"start": 2208.74, "end": 2208.86, "word": " ال", "probability": 0.94580078125}, {"start": 2208.86, "end": 2209.0, "word": " A", "probability": 0.74658203125}, {"start": 2209.0, "end": 2209.36, "word": " واحد", "probability": 0.92529296875}, {"start": 2209.36, "end": 2209.6, "word": " modulo", "probability": 0.956298828125}, {"start": 2209.6, "end": 2209.72, "word": " N", "probability": 0.990234375}, {"start": 2209.72, "end": 2209.9, "word": " for", "probability": 0.470458984375}, {"start": 2209.9, "end": 2210.12, "word": " every", "probability": 0.76806640625}, {"start": 2210.12, "end": 2210.44, "word": " T", "probability": 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{"start": 2223.36, "end": 2223.84, "word": " إياها", "probability": 0.6758626302083334}, {"start": 2223.84, "end": 2224.56, "word": " إذا", "probability": 0.5767822265625}, {"start": 2224.56, "end": 2225.12, "word": " then", "probability": 0.413330078125}, {"start": 2225.12, "end": 2226.1, "word": " الـ", "probability": 0.81982421875}, {"start": 2226.1, "end": 2226.32, "word": " A", "probability": 0.86279296875}, {"start": 2226.32, "end": 2226.42, "word": " to", "probability": 0.76904296875}, {"start": 2226.42, "end": 2226.62, "word": " the", "probability": 0.92919921875}, {"start": 2226.62, "end": 2226.98, "word": " K", "probability": 0.93310546875}, {"start": 2226.98, "end": 2227.88, "word": " بتطابق", "probability": 0.82562255859375}, {"start": 2227.88, "end": 2228.08, "word": " الـ", "probability": 0.900146484375}, {"start": 2228.08, "end": 2228.24, "word": " B", "probability": 0.93359375}, {"start": 2228.24, "end": 2228.4, "word": " to", "probability": 0.9716796875}, {"start": 2228.4, "end": 2228.58, "word": " the", "probability": 0.92822265625}, {"start": 2228.58, "end": 2228.98, "word": " K", "probability": 0.97412109375}, {"start": 2228.98, "end": 2229.86, "word": " modulo", "probability": 0.764892578125}, {"start": 2229.86, "end": 2230.2, "word": " N", "probability": 0.90087890625}, {"start": 2230.2, "end": 2231.3, "word": " and", "probability": 0.85888671875}, {"start": 2231.3, "end": 2231.86, "word": " الـ", "probability": 0.9638671875}, {"start": 2231.86, "end": 2232.08, "word": " A", "probability": 0.9453125}, {"start": 2232.08, "end": 2232.26, "word": " to", "probability": 0.9833984375}, {"start": 2232.26, "end": 2232.48, "word": " the", "probability": 0.935546875}, {"start": 2232.48, "end": 2232.78, "word": " T", "probability": 0.99267578125}, {"start": 2232.78, "end": 2234.56, "word": " تطابق", "probability": 0.9588623046875}, {"start": 2234.56, "end": 2234.78, "word": " الـ", "probability": 0.96875}, {"start": 2234.78, "end": 2234.94, "word": " B", "probability": 0.95068359375}, {"start": 2234.94, "end": 2235.1, "word": " to", "probability": 0.98486328125}, {"start": 2235.1, "end": 2235.3, "word": " the", "probability": 0.93603515625}, {"start": 2235.3, "end": 2235.54, "word": " T", "probability": 0.98583984375}, {"start": 2235.54, "end": 2236.22, "word": " modulo", "probability": 0.934326171875}, {"start": 2236.22, "end": 2236.72, "word": " N", "probability": 0.99365234375}, {"start": 2236.72, "end": 2237.32, "word": " for", "probability": 0.95263671875}, {"start": 2237.32, "end": 2237.64, "word": " every", "probability": 0.80712890625}, {"start": 2237.64, "end": 2238.08, "word": " T", "probability": 0.986328125}, {"start": 2238.08, "end": 2238.82, "word": " اللي", "probability": 0.88671875}, {"start": 2238.82, "end": 2239.0, "word": " هو", "probability": 0.99072265625}, {"start": 2239.0, "end": 2239.22, "word": " الـ", "probability": 0.7548828125}, {"start": 2239.22, "end": 2239.34, "word": " T", "probability": 0.82373046875}, {"start": 2239.34, "end": 2239.8, "word": " أكبر", "probability": 0.9749348958333334}, {"start": 2239.8, "end": 2240.02, "word": " من", "probability": 0.99462890625}, {"start": 2240.02, "end": 2240.4, "word": " K", "probability": 0.9326171875}, {"start": 2240.4, "end": 2241.04, "word": " من", "probability": 0.9619140625}, {"start": 2241.04, "end": 2241.26, "word": " 0", "probability": 0.5693359375}, {"start": 2241.26, "end": 2242.46, "word": " وأصغر", "probability": 0.93505859375}, {"start": 2242.46, "end": 2242.66, "word": " من", "probability": 0.97998046875}, {"start": 2242.66, "end": 2242.94, "word": " K", "probability": 0.94287109375}, {"start": 2242.94, "end": 2243.92, "word": " معايا", "probability": 0.9441731770833334}, {"start": 2243.92, "end": 2245.14, "word": " أه؟", "probability": 0.7600911458333334}, {"start": 2245.14, "end": 2245.64, "word": " الآن", "probability": 0.6385498046875}, {"start": 2245.64, "end": 2246.54, "word": " من", "probability": 0.83544921875}, {"start": 2246.54, "end": 2247.74, "word": " هذه", "probability": 0.87841796875}, {"start": 2247.74, "end": 2248.42, "word": " الآن", "probability": 0.698486328125}], "temperature": 1.0}, {"id": 92, "seek": 227323, "start": 2249.93, "end": 2273.23, "text": "من هذه ومن هذه مع بعض hence هيكون عنده ايش خاصية التعدي b to the k تطابق الواحد مدنومين and من اللي هو هذه الخاصية وهذه الخاصية مع بعض التنتين هذوله ايش بيعني and", "tokens": [27842, 29538, 4032, 27842, 29538, 20449, 45030, 11242, 16678, 39896, 30544, 43242, 3224, 1975, 1829, 8592, 16490, 33546, 10632, 16712, 3615, 16254, 272, 281, 264, 350, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 3215, 1863, 20498, 9957, 293, 9154, 13672, 1829, 31439, 29538, 33962, 33546, 10632, 37037, 24192, 33962, 33546, 10632, 20449, 45030, 11242, 16712, 29399, 9957, 8032, 8848, 12610, 3224, 1975, 1829, 8592, 4724, 40228, 22653, 293], "avg_logprob": -0.25513393751212526, "compression_ratio": 1.70625, "no_speech_prob": 6.616115570068359e-06, "words": [{"start": 2249.93, "end": 2250.29, "word": "من", "probability": 0.79833984375}, {"start": 2250.29, "end": 2250.65, "word": " هذه", "probability": 0.83447265625}, {"start": 2250.65, "end": 2250.95, "word": " ومن", "probability": 0.766357421875}, {"start": 2250.95, "end": 2251.23, "word": " هذه", "probability": 0.98583984375}, {"start": 2251.23, "end": 2251.43, "word": " مع", "probability": 0.962890625}, {"start": 2251.43, "end": 2251.97, "word": " بعض", "probability": 0.9931640625}, {"start": 2251.97, "end": 2255.25, "word": " hence", "probability": 0.263427734375}, {"start": 2255.25, "end": 2256.67, "word": " هيكون", "probability": 0.656982421875}, {"start": 2256.67, "end": 2257.13, "word": " عنده", "probability": 0.7626953125}, {"start": 2257.13, "end": 2257.57, "word": " ايش", "probability": 0.7290852864583334}, {"start": 2257.57, "end": 2258.11, "word": " خاصية", "probability": 0.8260091145833334}, {"start": 2258.11, "end": 2258.65, "word": " التعدي", "probability": 0.86328125}, {"start": 2258.65, "end": 2258.89, "word": " b", "probability": 0.1739501953125}, {"start": 2258.89, "end": 2259.01, "word": " to", "probability": 0.73828125}, {"start": 2259.01, "end": 2259.17, "word": " the", "probability": 0.8583984375}, {"start": 2259.17, "end": 2259.55, "word": " k", "probability": 0.9189453125}, {"start": 2259.55, "end": 2260.43, "word": " تطابق", "probability": 0.8406982421875}, {"start": 2260.43, "end": 2260.95, "word": " الواحد", "probability": 0.9763997395833334}, {"start": 2260.95, "end": 2261.83, "word": " مدنومين", "probability": 0.741552734375}, {"start": 2261.83, "end": 2262.67, "word": " and", "probability": 0.9072265625}, {"start": 2262.67, "end": 2264.21, "word": " من", "probability": 0.68994140625}, {"start": 2264.21, "end": 2265.09, "word": " اللي", "probability": 0.7978515625}, {"start": 2265.09, "end": 2265.45, "word": " هو", "probability": 0.9462890625}, {"start": 2265.45, "end": 2265.83, "word": " هذه", "probability": 0.9306640625}, {"start": 2265.83, "end": 2266.75, "word": " الخاصية", "probability": 0.99072265625}, {"start": 2266.75, "end": 2268.27, "word": " وهذه", "probability": 0.6483154296875}, {"start": 2268.27, "end": 2268.93, "word": " الخاصية", "probability": 0.9879557291666666}, {"start": 2268.93, "end": 2269.15, "word": " مع", "probability": 0.9736328125}, {"start": 2269.15, "end": 2269.55, "word": " بعض", "probability": 0.996826171875}, {"start": 2269.55, "end": 2270.13, "word": " التنتين", "probability": 0.83544921875}, {"start": 2270.13, "end": 2271.07, "word": " هذوله", "probability": 0.69683837890625}, {"start": 2271.07, "end": 2271.51, "word": " ايش", "probability": 0.7538248697916666}, {"start": 2271.51, "end": 2271.99, "word": " بيعني", "probability": 0.7962239583333334}, {"start": 2271.99, "end": 2273.23, "word": " and", "probability": 0.779296875}], "temperature": 1.0}, {"id": 93, "seek": 230050, "start": 2274.34, "end": 2300.5, "text": "ما دام الـ A ت لاتطابق الواحد دماتي بالـ Bt إيش مالها؟ لاتطابق الواحد لأن الطبقات المعلنتة تنتهي من طبق الـ Contradiction and B to the T لاتطابق الواحد modulo and for every T، T أكبر من صفر وأصغر من K إيش معناة الكلام هذا؟ هذا بيعني Therefore تنتهي مع بعض", "tokens": [15042, 11778, 10943, 2423, 39184, 316, 6055, 5296, 9307, 9566, 16758, 4587, 2423, 14407, 24401, 11778, 2304, 9307, 1829, 20666, 39184, 363, 83, 11933, 1829, 8592, 3714, 6027, 11296, 22807, 5296, 9307, 9566, 16758, 4587, 2423, 14407, 24401, 5296, 33456, 41950, 3555, 4587, 9307, 9673, 30241, 29399, 3660, 6055, 29399, 3224, 1829, 9154, 23032, 3555, 4587, 2423, 39184, 4839, 6206, 4105, 293, 363, 281, 264, 314, 5296, 9307, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 293, 337, 633, 314, 12399, 314, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 36725, 9381, 17082, 2288, 9154, 591, 11933, 1829, 8592, 20449, 8315, 3660, 2423, 28820, 10943, 23758, 22807, 23758, 4724, 40228, 22653, 7504, 6055, 29399, 3224, 1829, 20449, 45030, 11242], "avg_logprob": 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"end": 2283.04, "word": " and", "probability": 0.6689453125}, {"start": 2283.04, "end": 2283.38, "word": " B", "probability": 0.86181640625}, {"start": 2283.38, "end": 2283.58, "word": " to", "probability": 0.8271484375}, {"start": 2283.58, "end": 2283.74, "word": " the", "probability": 0.90673828125}, {"start": 2283.74, "end": 2284.08, "word": " T", "probability": 0.89892578125}, {"start": 2284.08, "end": 2286.12, "word": " لاتطابق", "probability": 0.9326171875}, {"start": 2286.12, "end": 2286.96, "word": " الواحد", "probability": 0.9967447916666666}, {"start": 2286.96, "end": 2289.44, "word": " modulo", "probability": 0.751953125}, {"start": 2289.44, "end": 2289.96, "word": " and", "probability": 0.469970703125}, {"start": 2289.96, "end": 2290.38, "word": " for", "probability": 0.93896484375}, {"start": 2290.38, "end": 2290.74, "word": " every", "probability": 0.80859375}, {"start": 2290.74, "end": 2291.28, "word": " T،", "probability": 0.59332275390625}, {"start": 2291.28, "end": 2291.94, "word": " T", "probability": 0.81884765625}, {"start": 2291.94, "end": 2292.44, "word": " أكبر", "probability": 0.97314453125}, {"start": 2292.44, "end": 2292.64, "word": " من", "probability": 0.99609375}, {"start": 2292.64, "end": 2292.98, "word": " صفر", "probability": 0.7908528645833334}, {"start": 2292.98, "end": 2293.62, "word": " وأصغر", "probability": 0.938720703125}, {"start": 2293.62, "end": 2294.04, "word": " من", "probability": 0.98828125}, {"start": 2294.04, "end": 2294.32, "word": " K", "probability": 0.84521484375}, {"start": 2294.32, "end": 2295.2, "word": " إيش", "probability": 0.9156901041666666}, {"start": 2295.2, "end": 2295.56, "word": " معناة", "probability": 0.6764322916666666}, {"start": 2295.56, "end": 2295.96, "word": " الكلام", "probability": 0.96533203125}, {"start": 2295.96, "end": 2296.9, "word": " هذا؟", "probability": 0.9345703125}, {"start": 2296.9, "end": 2297.16, "word": " هذا", "probability": 0.8935546875}, {"start": 2297.16, "end": 2297.74, "word": " بيعني", "probability": 0.7235514322916666}, {"start": 2297.74, "end": 2298.9, "word": " Therefore", "probability": 0.53271484375}, {"start": 2298.9, "end": 2299.8, "word": " تنتهي", "probability": 0.91943359375}, {"start": 2299.8, "end": 2299.98, "word": " مع", "probability": 0.98681640625}, {"start": 2299.98, "end": 2300.5, "word": " بعض", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 94, "seek": 232842, "start": 2301.95, "end": 2328.43, "text": "إن الـ order للـ B modulo N بساومين الـ K من هن و من هن معناته صار hence ال order للـ A modulo N هو نفس ال order للـ B modulo N إذا اللي هو الأعداد المتطابقة لها نفس ال order modulo N أي سؤال", "tokens": [28814, 1863, 2423, 39184, 1668, 24976, 39184, 363, 1072, 13455, 426, 4724, 3794, 995, 20498, 9957, 2423, 39184, 591, 9154, 8032, 1863, 4032, 9154, 8032, 1863, 20449, 8315, 47395, 20328, 9640, 16678, 2423, 1668, 24976, 39184, 316, 1072, 13455, 426, 31439, 8717, 36178, 2423, 1668, 24976, 39184, 363, 1072, 13455, 426, 11933, 15730, 13672, 1829, 31439, 16247, 22488, 18513, 9673, 2655, 9566, 16758, 28671, 5296, 11296, 8717, 36178, 2423, 1668, 1072, 13455, 426, 36632, 8608, 33604, 6027], "avg_logprob": -0.19000400908482382, "compression_ratio": 1.75625, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2301.95, "end": 2302.35, "word": "إن", "probability": 0.73681640625}, {"start": 2302.35, "end": 2302.65, "word": " الـ", "probability": 0.689697265625}, {"start": 2302.65, "end": 2303.17, "word": " order", "probability": 0.56103515625}, {"start": 2303.17, "end": 2303.59, "word": " للـ", "probability": 0.65576171875}, {"start": 2303.59, "end": 2304.07, "word": " B", "probability": 0.63720703125}, {"start": 2304.07, "end": 2305.45, "word": " modulo", "probability": 0.78662109375}, {"start": 2305.45, "end": 2305.93, "word": " N", "probability": 0.81689453125}, {"start": 2305.93, "end": 2307.69, "word": " بساومين", "probability": 0.7115234375}, {"start": 2307.69, "end": 2308.89, "word": " الـ", "probability": 0.732666015625}, {"start": 2308.89, "end": 2309.09, "word": " K", "probability": 0.869140625}, {"start": 2309.09, "end": 2309.97, "word": " من", "probability": 0.89111328125}, {"start": 2309.97, "end": 2310.23, "word": " هن", "probability": 0.433349609375}, {"start": 2310.23, "end": 2310.33, "word": " و", "probability": 0.9921875}, {"start": 2310.33, "end": 2310.49, "word": " من", "probability": 0.81689453125}, {"start": 2310.49, "end": 2311.01, "word": " هن", "probability": 0.981201171875}, {"start": 2311.01, "end": 2312.31, "word": " معناته", "probability": 0.8885091145833334}, {"start": 2312.31, "end": 2312.65, "word": " صار", "probability": 0.772705078125}, {"start": 2312.65, "end": 2313.19, "word": " hence", "probability": 0.6474609375}, {"start": 2313.19, "end": 2314.41, "word": " ال", "probability": 0.80126953125}, {"start": 2314.41, "end": 2314.79, "word": " order", "probability": 0.8603515625}, {"start": 2314.79, "end": 2315.23, "word": " للـ", "probability": 0.6375732421875}, {"start": 2315.23, "end": 2315.35, "word": " A", "probability": 0.9345703125}, {"start": 2315.35, "end": 2315.75, "word": " modulo", "probability": 0.93212890625}, {"start": 2315.75, "end": 2315.97, "word": " N", "probability": 0.9931640625}, {"start": 2315.97, "end": 2316.17, "word": " هو", "probability": 0.96826171875}, {"start": 2316.17, "end": 2316.43, "word": " نفس", "probability": 0.9931640625}, {"start": 2316.43, "end": 2316.59, "word": " ال", "probability": 0.9931640625}, {"start": 2316.59, "end": 2316.87, "word": " order", "probability": 0.9208984375}, {"start": 2316.87, "end": 2317.23, "word": " للـ", "probability": 0.84814453125}, {"start": 2317.23, "end": 2317.57, "word": " B", "probability": 0.953125}, {"start": 2317.57, "end": 2318.75, "word": " modulo", "probability": 0.945556640625}, {"start": 2318.75, "end": 2319.31, "word": " N", "probability": 0.9921875}, {"start": 2319.31, "end": 2320.17, "word": " إذا", "probability": 0.687255859375}, {"start": 2320.17, "end": 2320.59, "word": " اللي", "probability": 0.8232421875}, {"start": 2320.59, "end": 2320.91, "word": " هو", "probability": 0.96630859375}, {"start": 2320.91, "end": 2321.65, "word": " الأعداد", "probability": 0.9656575520833334}, {"start": 2321.65, "end": 2322.41, "word": " المتطابقة", "probability": 0.98349609375}, {"start": 2322.41, "end": 2322.77, "word": " لها", "probability": 0.974365234375}, {"start": 2322.77, "end": 2323.19, "word": " نفس", "probability": 0.99609375}, {"start": 2323.19, "end": 2323.43, "word": " ال", "probability": 0.990234375}, {"start": 2323.43, "end": 2323.89, "word": " order", "probability": 0.93310546875}, {"start": 2323.89, "end": 2324.53, "word": " modulo", "probability": 0.910888671875}, {"start": 2324.53, "end": 2325.19, "word": " N", "probability": 0.9814453125}, {"start": 2325.19, "end": 2327.99, "word": " أي", "probability": 0.7197265625}, {"start": 2327.99, "end": 2328.43, "word": " سؤال", "probability": 0.9329427083333334}], "temperature": 1.0}, {"id": 95, "seek": 233990, "start": 2331.02, "end": 2339.9, "text": "طيب ندي للملاحظة التانية if الـ greatest common divisor بين الـA والـM أكبر من 1", "tokens": [9566, 1829, 3555, 8717, 16254, 5296, 19528, 15040, 5016, 19913, 3660, 16712, 7649, 10632, 498, 2423, 39184, 6636, 2689, 25974, 284, 49374, 2423, 39184, 32, 16070, 39184, 44, 5551, 4117, 26890, 9154, 502], "avg_logprob": -0.2971047925598481, "compression_ratio": 1.0526315789473684, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2331.0199999999995, "end": 2331.7799999999997, "word": "طيب", "probability": 0.7019856770833334}, {"start": 2331.7799999999997, "end": 2332.54, "word": " ندي", "probability": 0.5152587890625}, {"start": 2332.54, "end": 2333.32, "word": " للملاحظة", "probability": 0.9522298177083334}, {"start": 2333.32, "end": 2334.38, "word": " التانية", "probability": 0.9723307291666666}, {"start": 2334.38, "end": 2335.52, "word": " if", "probability": 0.345703125}, {"start": 2335.52, "end": 2337.0, "word": " الـ", "probability": 0.65478515625}, {"start": 2337.0, "end": 2337.28, "word": " greatest", "probability": 0.359130859375}, {"start": 2337.28, "end": 2337.56, "word": " common", "probability": 0.94384765625}, {"start": 2337.56, "end": 2338.12, "word": " divisor", "probability": 0.973388671875}, {"start": 2338.12, "end": 2338.34, "word": " بين", "probability": 0.80419921875}, {"start": 2338.34, "end": 2338.62, "word": " الـA", "probability": 0.68017578125}, {"start": 2338.62, "end": 2338.98, "word": " والـM", "probability": 0.6546223958333334}, {"start": 2338.98, "end": 2339.36, "word": " أكبر", "probability": 0.9405924479166666}, {"start": 2339.36, "end": 2339.54, "word": " من", "probability": 0.99072265625}, {"start": 2339.54, "end": 2339.9, "word": " 1", "probability": 0.6943359375}], "temperature": 1.0}, {"id": 96, "seek": 236980, "start": 2340.98, "end": 2369.8, "text": "then a to the k تطابق الواحد modulo n can't hold يعني الآن بتثبتلك أنه في حال أصلا أن ال a و ال n مش relatively prime مافيش إمكانية أن نلاقي ال a to the k تطابق الواحد modulo n لأي k في الدنيا مع ده اللي هي مين السفر واضح؟ اللي هو a to the k تطابق الواحد modulo n اللي بحكي جاعد ركز معايا الآن اللي بحكي", "tokens": [19096, 257, 281, 264, 350, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 297, 393, 380, 1797, 37495, 22653, 6024, 48506, 39894, 12984, 3555, 2655, 23275, 14739, 3224, 8978, 11331, 6027, 5551, 9381, 15040, 14739, 2423, 257, 4032, 2423, 297, 37893, 7226, 5835, 19446, 41185, 8592, 11933, 2304, 41361, 10632, 14739, 8717, 15040, 38436, 2423, 257, 281, 264, 350, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 297, 5296, 10721, 1829, 350, 8978, 32748, 22653, 995, 20449, 11778, 3224, 13672, 1829, 39896, 3714, 9957, 21136, 5172, 2288, 4032, 46958, 5016, 22807, 13672, 1829, 31439, 257, 281, 264, 350, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 297, 13672, 1829, 4724, 5016, 4117, 1829, 10874, 995, 22488, 12602, 4117, 11622, 20449, 995, 25528, 6024, 48506, 13672, 1829, 4724, 5016, 4117, 1829], "avg_logprob": -0.15823227889947036, "compression_ratio": 1.953781512605042, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2340.98, "end": 2341.44, "word": "then", "probability": 0.40087890625}, {"start": 2341.44, "end": 2341.74, "word": " a", "probability": 0.7236328125}, {"start": 2341.74, "end": 2341.84, "word": " to", "probability": 0.28076171875}, {"start": 2341.84, "end": 2341.98, "word": " the", "probability": 0.9296875}, {"start": 2341.98, "end": 2342.14, "word": " k", "probability": 0.8876953125}, {"start": 2342.14, "end": 2342.54, "word": " تطابق", "probability": 0.87939453125}, {"start": 2342.54, "end": 2342.98, "word": " الواحد", "probability": 0.9638671875}, {"start": 2342.98, "end": 2343.72, "word": " modulo", "probability": 0.72900390625}, {"start": 2343.72, "end": 2343.92, "word": " n", "probability": 0.8017578125}, {"start": 2343.92, "end": 2344.4, "word": " can't", "probability": 0.83642578125}, {"start": 2344.4, "end": 2344.66, "word": " hold", "probability": 0.9052734375}, {"start": 2344.66, "end": 2345.54, "word": " يعني", "probability": 0.900146484375}, {"start": 2345.54, "end": 2345.9, "word": " الآن", "probability": 0.7196044921875}, {"start": 2345.9, "end": 2346.58, "word": " بتثبتلك", "probability": 0.8462890625}, {"start": 2346.58, "end": 2347.08, "word": " أنه", "probability": 0.6966552734375}, {"start": 2347.08, "end": 2347.26, "word": " في", "probability": 0.90673828125}, {"start": 2347.26, "end": 2347.62, "word": " حال", "probability": 0.99169921875}, {"start": 2347.62, "end": 2348.24, "word": " أصلا", "probability": 0.8419596354166666}, {"start": 2348.24, "end": 2349.22, "word": " أن", "probability": 0.7138671875}, {"start": 2349.22, "end": 2349.4, "word": " ال", "probability": 0.841796875}, {"start": 2349.4, "end": 2349.52, "word": " a", "probability": 0.6826171875}, {"start": 2349.52, "end": 2349.68, "word": " و", "probability": 0.72021484375}, {"start": 2349.68, "end": 2349.76, "word": " ال", "probability": 0.880859375}, {"start": 2349.76, "end": 2349.98, "word": " n", "probability": 0.94921875}, {"start": 2349.98, "end": 2350.2, "word": " مش", "probability": 0.93798828125}, {"start": 2350.2, "end": 2350.66, "word": " relatively", "probability": 0.787109375}, {"start": 2350.66, "end": 2351.16, "word": " prime", "probability": 0.912109375}, {"start": 2351.16, "end": 2351.8, "word": " مافيش", "probability": 0.650146484375}, {"start": 2351.8, "end": 2353.08, "word": " إمكانية", "probability": 0.9442138671875}, {"start": 2353.08, "end": 2353.82, "word": " أن", "probability": 0.81640625}, {"start": 2353.82, "end": 2354.32, "word": " نلاقي", "probability": 0.84375}, {"start": 2354.32, "end": 2354.5, "word": " ال", "probability": 0.7578125}, {"start": 2354.5, "end": 2354.7, "word": " a", "probability": 0.93212890625}, {"start": 2354.7, "end": 2354.78, "word": " to", "probability": 0.9521484375}, {"start": 2354.78, "end": 2354.92, "word": " the", "probability": 0.9375}, {"start": 2354.92, "end": 2355.08, "word": " k", "probability": 0.98486328125}, {"start": 2355.08, "end": 2355.5, "word": " تطابق", "probability": 0.98681640625}, {"start": 2355.5, "end": 2355.9, "word": " الواحد", "probability": 0.98681640625}, {"start": 2355.9, "end": 2356.22, "word": " modulo", "probability": 0.928466796875}, {"start": 2356.22, "end": 2356.44, "word": " n", "probability": 0.97509765625}, {"start": 2356.44, "end": 2357.0, "word": " لأي", "probability": 0.939453125}, {"start": 2357.0, "end": 2357.2, "word": " k", "probability": 0.9072265625}, {"start": 2357.2, "end": 2357.34, "word": " في", "probability": 0.9619140625}, {"start": 2357.34, "end": 2357.96, "word": " الدنيا", "probability": 0.9915364583333334}, {"start": 2357.96, "end": 2358.62, "word": " مع", "probability": 0.54150390625}, {"start": 2358.62, "end": 2358.92, "word": " ده", "probability": 0.806396484375}, {"start": 2358.92, "end": 2359.08, "word": " اللي", "probability": 0.970947265625}, {"start": 2359.08, "end": 2359.24, "word": " هي", "probability": 0.859375}, {"start": 2359.24, "end": 2359.6, "word": " مين", "probability": 0.6024169921875}, {"start": 2359.6, "end": 2360.22, "word": " السفر", "probability": 0.9371744791666666}, {"start": 2360.22, "end": 2361.74, "word": " واضح؟", "probability": 0.70574951171875}, {"start": 2361.74, "end": 2363.7, "word": " اللي", "probability": 0.80859375}, {"start": 2363.7, "end": 2363.88, "word": " هو", "probability": 0.9482421875}, {"start": 2363.88, "end": 2364.1, "word": " a", "probability": 0.96728515625}, {"start": 2364.1, "end": 2364.18, "word": " to", "probability": 0.978515625}, {"start": 2364.18, "end": 2364.34, "word": " the", "probability": 0.94189453125}, {"start": 2364.34, "end": 2364.6, "word": " k", "probability": 0.98876953125}, {"start": 2364.6, "end": 2365.1, "word": " تطابق", "probability": 0.9891357421875}, {"start": 2365.1, "end": 2365.48, "word": " الواحد", "probability": 0.99169921875}, {"start": 2365.48, "end": 2365.72, "word": " modulo", "probability": 0.93310546875}, {"start": 2365.72, "end": 2365.84, "word": " n", "probability": 0.96630859375}, {"start": 2365.84, "end": 2365.96, "word": " اللي", "probability": 0.93701171875}, {"start": 2365.96, "end": 2366.22, "word": " بحكي", "probability": 0.9827880859375}, {"start": 2366.22, "end": 2366.64, "word": " جاعد", "probability": 0.6659342447916666}, {"start": 2366.64, "end": 2367.58, "word": " ركز", "probability": 0.90673828125}, {"start": 2367.58, "end": 2367.98, "word": " معايا", "probability": 0.9482421875}, {"start": 2367.98, "end": 2369.22, "word": " الآن", "probability": 0.744140625}, {"start": 2369.22, "end": 2369.36, "word": " اللي", "probability": 0.989013671875}, {"start": 2369.36, "end": 2369.8, "word": " بحكي", "probability": 0.9952392578125}], "temperature": 1.0}, {"id": 97, "seek": 237850, "start": 2370.5, "end": 2378.5, "text": "المراحلة بتقول مالي لو كان الـ greatest common divisor بين الـA والـN لا تساوي واحد", "tokens": [45340, 23557, 5016, 37977, 39894, 39648, 3714, 6027, 1829, 45164, 25961, 2423, 39184, 6636, 2689, 25974, 284, 49374, 2423, 39184, 32, 16070, 39184, 45, 20193, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.41772462241351604, "compression_ratio": 1.131578947368421, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 2370.5, "end": 2371.78, "word": "المراحلة", "probability": 0.63055419921875}, {"start": 2371.78, "end": 2372.1, "word": " بتقول", "probability": 0.6168212890625}, {"start": 2372.1, "end": 2372.66, "word": " مالي", "probability": 0.7041829427083334}, {"start": 2372.66, "end": 2373.68, "word": " لو", "probability": 0.418701171875}, {"start": 2373.68, "end": 2373.92, "word": " كان", "probability": 0.98583984375}, {"start": 2373.92, "end": 2374.1, "word": " الـ", "probability": 0.428466796875}, {"start": 2374.1, "end": 2374.34, "word": " greatest", "probability": 0.11883544921875}, {"start": 2374.34, "end": 2374.64, "word": " common", "probability": 0.94873046875}, {"start": 2374.64, "end": 2375.22, "word": " divisor", "probability": 0.973876953125}, {"start": 2375.22, "end": 2375.46, "word": " بين", "probability": 0.6806640625}, {"start": 2375.46, "end": 2375.76, "word": " الـA", "probability": 0.662109375}, {"start": 2375.76, "end": 2376.4, "word": " والـN", "probability": 0.7503255208333334}, {"start": 2376.4, "end": 2377.24, "word": " لا", "probability": 0.55908203125}, {"start": 2377.24, "end": 2377.9, "word": " تساوي", "probability": 0.9429931640625}, {"start": 2377.9, "end": 2378.5, "word": " واحد", "probability": 0.875732421875}], "temperature": 1.0}, {"id": 98, "seek": 240915, "start": 2379.37, "end": 2409.15, "text": "إذا ما في إمكانية لجيلنا K أكبر من صفر بحيث أن A to the K تطابق الواحد مضلؤاً ومن ثم ما فيش معنى لل order يعني مش حلّجية أصلاً فلما نحكي على ال order معناته أننا نحكي عالمياً أن ال A و ال N يكونوا relatively أبراد إذن الملاحظة التانية F", "tokens": [28814, 15730, 19446, 8978, 11933, 2304, 41361, 10632, 5296, 7435, 26895, 8315, 591, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 4724, 5016, 1829, 12984, 14739, 316, 281, 264, 591, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 11242, 1211, 33604, 995, 14111, 4032, 27842, 38637, 2304, 19446, 8978, 8592, 20449, 1863, 7578, 24976, 1668, 37495, 22653, 37893, 11331, 1211, 11703, 7435, 10632, 5551, 9381, 15040, 14111, 6156, 1211, 15042, 8717, 5016, 4117, 1829, 15844, 2423, 1668, 20449, 8315, 47395, 14739, 8315, 8717, 5016, 4117, 1829, 6225, 45340, 25528, 14111, 14739, 2423, 316, 4032, 2423, 426, 7251, 30544, 14407, 7226, 5551, 26890, 18513, 11933, 8848, 1863, 9673, 15040, 5016, 19913, 3660, 16712, 7649, 10632, 479], "avg_logprob": -0.34347825050354003, "compression_ratio": 1.582995951417004, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2379.37, "end": 2379.73, "word": "إذا", "probability": 0.5999755859375}, {"start": 2379.73, "end": 2379.99, "word": " ما", "probability": 0.326416015625}, {"start": 2379.99, "end": 2379.99, "word": " في", "probability": 0.1864013671875}, {"start": 2379.99, "end": 2380.97, "word": " إمكانية", "probability": 0.80963134765625}, {"start": 2380.97, "end": 2381.61, "word": " لجيلنا", "probability": 0.5272216796875}, {"start": 2381.61, "end": 2381.81, "word": " K", "probability": 0.445556640625}, {"start": 2381.81, "end": 2382.23, "word": " أكبر", "probability": 0.9423828125}, {"start": 2382.23, "end": 2382.45, "word": " من", "probability": 0.98974609375}, {"start": 2382.45, "end": 2382.95, "word": " صفر", "probability": 0.6886800130208334}, {"start": 2382.95, "end": 2383.95, "word": " بحيث", "probability": 0.82525634765625}, {"start": 2383.95, "end": 2384.11, "word": " أن", "probability": 0.533203125}, {"start": 2384.11, "end": 2384.33, "word": " A", "probability": 0.4228515625}, {"start": 2384.33, "end": 2384.53, "word": " to", "probability": 0.1376953125}, {"start": 2384.53, "end": 2384.65, "word": " the", "probability": 0.88330078125}, 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"probability": 0.78076171875}, {"start": 2681.51, "end": 2682.09, "word": " بتساوي", "probability": 0.696044921875}, {"start": 2682.09, "end": 2682.39, "word": " K", "probability": 0.78271484375}, {"start": 2682.39, "end": 2682.61, "word": " في", "probability": 0.66064453125}, {"start": 2682.61, "end": 2682.95, "word": " T", "probability": 0.93701171875}, {"start": 2682.95, "end": 2683.85, "word": " for", "probability": 0.94580078125}, {"start": 2683.85, "end": 2685.19, "word": " some", "probability": 0.88720703125}, {"start": 2685.19, "end": 2686.17, "word": " T", "probability": 0.94677734375}, {"start": 2686.17, "end": 2689.09, "word": " element", "probability": 0.91943359375}, {"start": 2689.09, "end": 2690.43, "word": " and", "probability": 0.77734375}, {"start": 2690.43, "end": 2690.57, "word": " Z", "probability": 0.48779296875}], "temperature": 1.0}, {"id": 110, "seek": 271513, "start": 2692.69, "end": 2715.13, "text": "مظبوط؟ الان ماعطيني من الواصل دور ال order للإياش بيساوي K بما أنه since ال order لل إيه modulo n بيساوي K then أكيد ال A to the K تطابق الواحد modulo مين N ومنها and so", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 2423, 7649, 19446, 3615, 9566, 9957, 1829, 9154, 2423, 2407, 33546, 1211, 11778, 13063, 2423, 1668, 24976, 28814, 1829, 33599, 4724, 1829, 3794, 995, 45865, 591, 4724, 15042, 14739, 3224, 1670, 2423, 1668, 24976, 11933, 1829, 3224, 1072, 13455, 297, 4724, 1829, 3794, 995, 45865, 591, 550, 5551, 4117, 25708, 2423, 316, 281, 264, 591, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 3714, 9957, 426, 4032, 27842, 11296, 293, 370], "avg_logprob": -0.28045886151398286, "compression_ratio": 1.4912280701754386, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2692.69, "end": 2693.65, "word": "مظبوط؟", "probability": 0.7496337890625}, {"start": 2693.65, "end": 2694.61, "word": " الان", "probability": 0.5965576171875}, {"start": 2694.61, "end": 2695.73, "word": " ماعطيني", "probability": 0.78623046875}, {"start": 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2702.25, "end": 2702.59, "word": " order", "probability": 0.93017578125}, {"start": 2702.59, "end": 2702.89, "word": " لل", "probability": 0.9140625}, {"start": 2702.89, "end": 2703.31, "word": " إيه", "probability": 0.6005859375}, {"start": 2703.31, "end": 2703.79, "word": " modulo", "probability": 0.846923828125}, {"start": 2703.79, "end": 2704.09, "word": " n", "probability": 0.287841796875}, {"start": 2704.09, "end": 2705.19, "word": " بيساوي", "probability": 0.923046875}, {"start": 2705.19, "end": 2705.61, "word": " K", "probability": 0.85791015625}, {"start": 2705.61, "end": 2706.25, "word": " then", "probability": 0.73388671875}, {"start": 2706.25, "end": 2707.15, "word": " أكيد", "probability": 0.9259440104166666}, {"start": 2707.15, "end": 2707.81, "word": " ال", "probability": 0.96044921875}, {"start": 2707.81, "end": 2708.09, "word": " A", "probability": 0.51171875}, {"start": 2708.09, "end": 2708.21, "word": " to", "probability": 0.91259765625}, {"start": 2708.21, "end": 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التلتين لنفس القصة الآن الـ A to the K في التيمين هي الـ A to the H صارت الـ A to the H أشمالها بطابق الواحد modulo أي سؤال؟", "tokens": [6027, 39184, 316, 281, 264, 591, 2423, 28820, 281, 264, 314, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 281, 264, 314, 13672, 1829, 31439, 4724, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 3714, 9957, 426, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 12602, 5172, 3615, 8315, 16712, 1211, 2655, 9957, 5296, 1863, 36178, 25062, 9381, 3660, 6024, 48506, 2423, 39184, 316, 281, 264, 591, 8978, 16712, 32640, 9957, 39896, 2423, 39184, 316, 281, 264, 389, 20328, 9640, 2655, 2423, 39184, 316, 281, 264, 389, 5551, 8592, 2304, 6027, 11296, 4724, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 36632, 8608, 33604, 6027, 22807], "avg_logprob": -0.21473214285714284, "compression_ratio": 1.9, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2716.72, "end": 2717.2, "word": "الـ", "probability": 0.8505859375}, {"start": 2717.2, "end": 2717.5, 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"probability": 0.5758463541666666}, {"start": 2729.68, "end": 2730.88, "word": " الآن", "probability": 0.68017578125}, {"start": 2730.88, "end": 2731.18, "word": " الـ", "probability": 0.937744140625}, {"start": 2731.18, "end": 2731.52, "word": " A", "probability": 0.8740234375}, {"start": 2731.52, "end": 2731.78, "word": " to", "probability": 0.978515625}, {"start": 2731.78, "end": 2731.94, "word": " the", "probability": 0.94091796875}, {"start": 2731.94, "end": 2732.12, "word": " K", "probability": 0.9599609375}, {"start": 2732.12, "end": 2732.28, "word": " في", "probability": 0.935546875}, {"start": 2732.28, "end": 2732.74, "word": " التيمين", "probability": 0.7578125}, {"start": 2732.74, "end": 2733.22, "word": " هي", "probability": 0.92236328125}, {"start": 2733.22, "end": 2735.12, "word": " الـ", "probability": 0.945068359375}, {"start": 2735.12, "end": 2735.22, "word": " A", "probability": 0.84033203125}, {"start": 2735.22, "end": 2735.36, "word": " to", "probability": 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0.912353515625}, {"start": 2740.92, "end": 2743.9, "word": " أي", "probability": 0.658203125}, {"start": 2743.9, "end": 2744.5, "word": " سؤال؟", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 112, "seek": 277426, "start": 2745.24, "end": 2774.26, "text": "إذن بدأنا بكيف تكسب الـ H وانتهينا ب A to the H تطابق الواحد مدلو الوقت Conversely .. Conversely suppose that ال A to the H تطابق الواحد", "tokens": [28814, 8848, 1863, 47525, 10721, 8315, 4724, 4117, 33911, 6055, 4117, 35457, 2423, 39184, 389, 4032, 7649, 47395, 1829, 8315, 4724, 316, 281, 264, 389, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 3215, 1211, 2407, 2423, 30543, 2655, 33247, 736, 4386, 33247, 736, 7297, 300, 2423, 316, 281, 264, 389, 6055, 9566, 16758, 4587, 2423, 14407, 24401], "avg_logprob": -0.30746820720575624, "compression_ratio": 1.4485294117647058, "no_speech_prob": 0.0, "words": [{"start": 2745.24, "end": 2745.68, "word": "إذن", "probability": 0.511962890625}, {"start": 2745.68, "end": 2746.36, "word": " بدأنا", "probability": 0.830078125}, {"start": 2746.36, "end": 2746.9, "word": " بكيف", "probability": 0.8430989583333334}, {"start": 2746.9, "end": 2747.22, "word": " تكسب", "probability": 0.8347981770833334}, {"start": 2747.22, "end": 2747.44, "word": " الـ", "probability": 0.70947265625}, {"start": 2747.44, "end": 2747.6, "word": " H", 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..", "probability": 0.2076416015625}, {"start": 2753.2, "end": 2756.72, "word": " Conversely", "probability": 0.820068359375}, {"start": 2756.72, "end": 2760.66, "word": " suppose", "probability": 0.2042236328125}, {"start": 2760.66, "end": 2764.12, "word": " that", "probability": 0.90380859375}, {"start": 2764.12, "end": 2765.72, "word": " ال", "probability": 0.9111328125}, {"start": 2765.72, "end": 2766.24, "word": " A", "probability": 0.7216796875}, {"start": 2766.24, "end": 2768.46, "word": " to", "probability": 0.94482421875}, {"start": 2768.46, "end": 2768.64, "word": " the", "probability": 0.92626953125}, {"start": 2768.64, "end": 2769.08, "word": " H", "probability": 0.99072265625}, {"start": 2769.08, "end": 2773.46, "word": " تطابق", "probability": 0.988525390625}, {"start": 2773.46, "end": 2774.26, "word": " الواحد", "probability": 0.986328125}], "temperature": 1.0}, {"id": 113, "seek": 280390, "start": 2776.58, "end": 2803.9, "text": "modulo n بدي اثبت لك ان الـ H هتكون على صورة اللي هو K في Q ماشي ايش بده اقول عندي by division algorithm بدي اقسم الـ H على مين على الـ K هيكون عندي there exist", "tokens": [8014, 13455, 297, 4724, 16254, 1975, 12984, 3555, 2655, 5296, 4117, 16472, 2423, 39184, 389, 8032, 2655, 30544, 15844, 20328, 13063, 3660, 13672, 1829, 31439, 591, 8978, 1249, 3714, 33599, 1829, 1975, 1829, 8592, 47525, 3224, 1975, 39648, 18871, 16254, 538, 10044, 9284, 4724, 16254, 1975, 4587, 38251, 2423, 39184, 389, 15844, 3714, 9957, 15844, 2423, 39184, 591, 8032, 1829, 30544, 18871, 16254, 456, 2514], "avg_logprob": -0.43323864539464313, "compression_ratio": 1.4464285714285714, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2776.58, "end": 2777.58, "word": "modulo", "probability": 0.6416015625}, {"start": 2777.58, "end": 2778.58, "word": " n", "probability": 0.495849609375}, {"start": 2778.58, "end": 2779.92, "word": " بدي", "probability": 0.134063720703125}, {"start": 2779.92, "end": 2780.36, "word": " اثبت", "probability": 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0.97607421875}, {"start": 2820.94, "end": 2821.08, "word": " و", "probability": 0.75732421875}, {"start": 2821.08, "end": 2821.46, "word": " R", "probability": 0.779296875}, {"start": 2821.46, "end": 2821.9, "word": " أكبر", "probability": 0.9420572916666666}, {"start": 2821.9, "end": 2822.04, "word": " أو", "probability": 0.92041015625}, {"start": 2822.04, "end": 2822.22, "word": " سو", "probability": 0.8828125}, {"start": 2822.22, "end": 2822.7, "word": " سفر", "probability": 0.8351236979166666}, {"start": 2822.7, "end": 2824.0, "word": " وأصغر", "probability": 0.85491943359375}, {"start": 2824.0, "end": 2824.2, "word": " من", "probability": 0.9970703125}, {"start": 2824.2, "end": 2824.64, "word": " مين", "probability": 0.861328125}, {"start": 2824.64, "end": 2826.66, "word": " من", "probability": 0.87744140625}, {"start": 2826.66, "end": 2827.44, "word": " K", "probability": 0.9345703125}, {"start": 2827.44, "end": 2829.8, "word": " مظبوط؟", "probability": 0.8332112630208334}, 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متساوي بساوي k عند ال order لل a modulo n بتساوي k then a to the k تطابق الواحد modulo مين modulo n", "tokens": [3615, 1863, 16254, 2423, 7649, 43242, 2423, 257, 281, 264, 276, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 3714, 9957, 1072, 13455, 297, 20328, 5016, 22807, 4032, 3615, 1863, 16254, 2423, 1668, 24976, 257, 1072, 13455, 297, 37893, 44650, 3794, 995, 45865, 4724, 3794, 995, 45865, 350, 43242, 2423, 1668, 24976, 257, 1072, 13455, 297, 39894, 3794, 995, 45865, 350, 550, 257, 281, 264, 350, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 3714, 9957, 1072, 13455, 297], "avg_logprob": -0.22770578759472546, "compression_ratio": 1.9927536231884058, "no_speech_prob": 0.0, "words": [{"start": 2835.5599999999995, "end": 2836.3599999999997, "word": "عندي", "probability": 0.8133138020833334}, {"start": 2836.3599999999997, "end": 2837.16, "word": " الان", "probability": 0.50244140625}, {"start": 2837.16, "end": 2838.08, "word": " عند", "probability": 0.3720703125}, 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"text": "من التعريف يا جماعة ماشي الحالة اذا اكيد اكيد اكيد هذا هيعطيني then ال a to the k to the q مطابق الواحد مو دوله مين مو دوله انا واضح اه طيب الان اضرب الجهتين في a to the r", "tokens": [27842, 16712, 3615, 16572, 5172, 35186, 10874, 15042, 27884, 3714, 33599, 1829, 21542, 6027, 3660, 1975, 15730, 1975, 4117, 25708, 1975, 4117, 25708, 1975, 4117, 25708, 23758, 39896, 3615, 9566, 9957, 1829, 550, 2423, 257, 281, 264, 350, 281, 264, 9505, 3714, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 2407, 11778, 12610, 3224, 3714, 9957, 3714, 2407, 11778, 12610, 3224, 1975, 8315, 4032, 46958, 5016, 1975, 3224, 23032, 1829, 3555, 2423, 7649, 1975, 11242, 25513, 25724, 3224, 2655, 9957, 8978, 257, 281, 264, 367], "avg_logprob": -0.2176470532136805, "compression_ratio": 1.7116564417177915, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2891.45, "end": 2891.67, "word": "من", "probability": 0.70361328125}, {"start": 2891.67, "end": 2892.11, "word": " التعريف", "probability": 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ال", "probability": 0.76220703125}, {"start": 2900.91, "end": 2901.19, "word": " a", "probability": 0.443359375}, {"start": 2901.19, "end": 2901.35, "word": " to", "probability": 0.78466796875}, {"start": 2901.35, "end": 2901.51, "word": " the", "probability": 0.9345703125}, {"start": 2901.51, "end": 2901.87, "word": " k", "probability": 0.86962890625}, {"start": 2901.87, "end": 2902.23, "word": " to", "probability": 0.98291015625}, {"start": 2902.23, "end": 2902.43, "word": " the", "probability": 0.9345703125}, {"start": 2902.43, "end": 2902.83, "word": " q", "probability": 0.935546875}, {"start": 2902.83, "end": 2903.77, "word": " مطابق", "probability": 0.9012451171875}, {"start": 2903.77, "end": 2904.25, "word": " الواحد", "probability": 0.9757486979166666}, {"start": 2904.25, "end": 2904.49, "word": " مو", "probability": 0.3486328125}, {"start": 2904.49, "end": 2904.71, "word": " دوله", "probability": 0.635986328125}, {"start": 2904.71, "end": 2905.11, "word": " مين", "probability": 0.905517578125}, {"start": 2905.11, "end": 2906.79, "word": " مو", "probability": 0.6845703125}, {"start": 2906.79, "end": 2906.99, "word": " دوله", "probability": 0.8927408854166666}, {"start": 2906.99, "end": 2907.17, "word": " انا", "probability": 0.5472412109375}, {"start": 2907.17, "end": 2913.77, "word": " واضح", "probability": 0.9611002604166666}, {"start": 2913.77, "end": 2914.09, "word": " اه", "probability": 0.6280517578125}, {"start": 2914.09, "end": 2915.09, "word": " طيب", "probability": 0.8321940104166666}, {"start": 2915.09, "end": 2916.59, "word": " الان", "probability": 0.7509765625}, {"start": 2916.59, "end": 2917.83, "word": " اضرب", "probability": 0.9225260416666666}, {"start": 2917.83, "end": 2918.29, "word": " الجهتين", "probability": 0.9351806640625}, {"start": 2918.29, "end": 2918.45, "word": " في", "probability": 0.8662109375}, {"start": 2918.45, "end": 2918.63, "word": " a", "probability": 0.962890625}, {"start": 2918.63, "end": 2918.73, "word": " to", "probability": 0.958984375}, {"start": 2918.73, "end": 2918.87, "word": " the", "probability": 0.93212890625}, {"start": 2918.87, "end": 2919.13, "word": " r", "probability": 0.76123046875}], "temperature": 1.0}, {"id": 118, "seek": 294510, "start": 2920.12, "end": 2945.1, "text": "فبصير عندي A to the R في الـ A to the K في الـ Q تطابق الواحد تطابق الـ A to the R مدنومين لأ صح ولا لأ هذي مين هي هذي هذي بالطابق هذي هذي نفسها A to the K في الـ Q زائد R صح اليمين هذي", "tokens": [5172, 3555, 9381, 13546, 43242, 1829, 316, 281, 264, 497, 8978, 2423, 39184, 316, 281, 264, 591, 8978, 2423, 39184, 1249, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 6055, 9566, 16758, 4587, 2423, 39184, 316, 281, 264, 497, 3714, 3215, 1863, 20498, 9957, 5296, 10721, 20328, 5016, 49429, 5296, 10721, 8032, 8848, 1829, 3714, 9957, 39896, 8032, 8848, 1829, 8032, 8848, 1829, 20666, 9566, 16758, 4587, 8032, 8848, 1829, 8032, 8848, 1829, 8717, 36178, 11296, 316, 281, 264, 591, 8978, 2423, 39184, 1249, 30767, 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