diff --git "a/PL9fwy3NUQKwb1GEXKToPBRkVqqPyEiz9Z/-G6bpwEBLqc_raw.json" "b/PL9fwy3NUQKwb1GEXKToPBRkVqqPyEiz9Z/-G6bpwEBLqc_raw.json"
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+{"segments": [{"id": 1, "seek": 4726, "start": 19.3, "end": 47.26, "text": "بسم الله الرحمن الرحيم المحاضرة الثالثة في مساق نظرية الأعداد في الجامعة الإسلامية هنكمل الموضوع اللي بديناه المرة الماضية اللي هو The Great Common Divisor أو اللي هو العامل المشترك الأعلى اتحدثنا المرة الماضية عن عوامل العوامل المشتركة وأخدنا بعض القواص هنكمل اليوم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 5016, 46958, 25720, 6024, 104, 6027, 12984, 3660, 8978, 47524, 995, 4587, 8717, 19913, 2288, 10632, 16247, 22488, 18513, 8978, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 8032, 1863, 24793, 1211, 9673, 2407, 11242, 45367, 13672, 1829, 4724, 16254, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 13672, 1829, 31439, 440, 3769, 18235, 9886, 271, 284, 34051, 13672, 1829, 31439, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 16247, 3615, 23942, 1975, 2655, 24401, 12984, 8315, 9673, 25720, 9673, 46958, 10632, 18871, 6225, 2407, 10943, 1211, 18863, 2407, 10943, 1211, 9673, 8592, 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الأول", "probability": 0.98876953125}, {"start": 133.91, "end": 134.55, "word": " لو", "probability": 0.888671875}, {"start": 134.55, "end": 134.81, "word": " كان", "probability": 0.99072265625}, {"start": 134.81, "end": 135.13, "word": " عندي", "probability": 0.704345703125}, {"start": 135.13, "end": 135.35, "word": " A", "probability": 0.89404296875}, {"start": 135.35, "end": 135.45, "word": " و", "probability": 0.99267578125}, {"start": 135.45, "end": 135.65, "word": " B", "probability": 0.890625}, {"start": 135.65, "end": 135.87, "word": " and", "probability": 0.11376953125}, {"start": 135.87, "end": 136.39, "word": " integers", "probability": 0.85595703125}], "temperature": 1.0}, {"id": 6, "seek": 16488, "start": 138.66, "end": 164.88, "text": "and integer D is set to B command divisor of A وB if both D بتجسم A and D بتجسم B هذا العوام المشترك طبعا لو كان حتى التنين سفر في حالة العامل المشترك بينهم بنفع نقول عامل مشترك عامل مشترك بينهم لكن الأعلى بعد شوية بنفعش اللي يكون واحد على 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"probability": 0.98779296875}, {"start": 157.18, "end": 157.28, "word": " على", "probability": 0.87939453125}, {"start": 157.28, "end": 157.56, "word": " الأقل", "probability": 0.9207356770833334}, {"start": 157.56, "end": 157.9, "word": " منه", "probability": 0.7763671875}, {"start": 157.9, "end": 158.48, "word": " مش", "probability": 0.5751953125}, {"start": 158.48, "end": 159.32, "word": " سفر", "probability": 0.9806315104166666}, {"start": 159.32, "end": 160.08, "word": " لأن", "probability": 0.896240234375}, {"start": 160.08, "end": 160.32, "word": " بعض", "probability": 0.960205078125}, {"start": 160.32, "end": 161.16, "word": " الملاحظات", "probability": 0.979296875}, {"start": 161.16, "end": 162.14, "word": " ان", "probability": 0.537109375}, {"start": 162.14, "end": 163.1, "word": " دائما", "probability": 0.8924153645833334}, {"start": 163.1, "end": 164.88, "word": " الواحد", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 7, "seek": 18595, "start": 166.03, "end": 185.95, "text": "عامل من عوا��ل أي عدد في الدنيا الواحد دائما بقسم ال a بناء عليه the set of all divisors of a is not empty يعني مجموعة مقواسم العدد a غير إيش ما لها غير خالية", "tokens": [3615, 10943, 1211, 9154, 6225, 2407, 10943, 1211, 36632, 6225, 3215, 3215, 8978, 32748, 22653, 995, 2423, 14407, 24401, 11778, 16373, 15042, 4724, 4587, 38251, 2423, 257, 44945, 16606, 47356, 264, 992, 295, 439, 25974, 830, 295, 257, 307, 406, 6707, 37495, 22653, 3714, 7435, 2304, 2407, 27884, 3714, 4587, 14407, 38251, 18863, 3215, 3215, 257, 32771, 13546, 11933, 1829, 8592, 19446, 5296, 11296, 32771, 13546, 16490, 6027, 10632], "avg_logprob": -0.14542410735573089, "compression_ratio": 1.455621301775148, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 166.03, "end": 166.67, "word": "عامل", "probability": 0.955078125}, {"start": 166.67, "end": 166.83, "word": " من", "probability": 0.951171875}, {"start": 166.83, "end": 167.67, "word": " عوامل", "probability": 0.9830322265625}, {"start": 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"end": 174.49, "word": " set", "probability": 0.953125}, {"start": 174.49, "end": 174.79, "word": " of", "probability": 0.98095703125}, {"start": 174.79, "end": 175.37, "word": " all", "probability": 0.94970703125}, {"start": 175.37, "end": 176.79, "word": " divisors", "probability": 0.974609375}, {"start": 176.79, "end": 177.89, "word": " of", "probability": 0.95751953125}, {"start": 177.89, "end": 178.35, "word": " a", "probability": 0.58154296875}, {"start": 178.35, "end": 178.99, "word": " is", "probability": 0.90869140625}, {"start": 178.99, "end": 179.37, "word": " not", "probability": 0.95849609375}, {"start": 179.37, "end": 179.87, "word": " empty", "probability": 0.810546875}, {"start": 179.87, "end": 180.77, "word": " يعني", "probability": 0.903564453125}, {"start": 180.77, "end": 181.53, "word": " مجموعة", "probability": 0.983203125}, {"start": 181.53, "end": 182.49, "word": " مقواسم", "probability": 0.7965087890625}, {"start": 182.49, "end": 182.99, "word": " العدد", 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"temperature": 1.0}, {"id": 11, "seek": 29594, "start": 270.52, "end": 295.94, "text": "بناء عليه بنيجي لتعريف اللي هو greatest common divisor بدنا نعرف الآن شو معنات العامل المشترك الأعلى بين عددين نفترض أن A وB element in Z at least one of them is not zero", "tokens": [3555, 1863, 16606, 47356, 44945, 1829, 7435, 1829, 5296, 2655, 3615, 16572, 5172, 13672, 1829, 31439, 6636, 2689, 25974, 284, 47525, 8315, 8717, 3615, 28480, 6024, 48506, 13412, 2407, 20449, 8315, 2655, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 16247, 3615, 23942, 49374, 6225, 3215, 3215, 9957, 8717, 5172, 2655, 43042, 14739, 316, 4032, 33, 4478, 294, 1176, 412, 1935, 472, 295, 552, 307, 406, 4018], "avg_logprob": -0.18948227522978142, "compression_ratio": 1.3387096774193548, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 270.52, "end": 271.0, "word": "بناء", "probability": 0.9378255208333334}, {"start": 271.0, "end": 271.42, "word": " عليه", "probability": 0.9140625}, {"start": 271.42, "end": 272.46, 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{"start": 713.16, "end": 713.34, "word": " أن", "probability": 0.5107421875}, {"start": 713.34, "end": 713.54, "word": " الـ", "probability": 0.80517578125}, {"start": 713.54, "end": 713.8, "word": " S", "probability": 0.9130859375}, {"start": 713.8, "end": 714.08, "word": " is", "probability": 0.8408203125}, {"start": 714.08, "end": 714.44, "word": " non", "probability": 0.77099609375}, {"start": 714.44, "end": 715.0, "word": "-empty", "probability": 0.8341471354166666}], "temperature": 1.0}, {"id": 29, "seek": 73429, "start": 715.73, "end": 734.29, "text": "ما دامت الـ S is non-empty إذا صارت عبارة عن non-empty set of positive integers إذا حسب ال wall ordering principle it has a least element الآن ال least element تبعها هيكون في الـ S يعني هيكون على الشكل هذا", "tokens": [15042, 11778, 10943, 2655, 2423, 39184, 318, 307, 2107, 12, 4543, 88, 11933, 15730, 20328, 9640, 2655, 6225, 3555, 9640, 3660, 18871, 2107, 12, 4543, 88, 992, 295, 3353, 41674, 11933, 15730, 11331, 35457, 2423, 2929, 21739, 8665, 309, 575, 257, 1935, 4478, 6024, 48506, 2423, 1935, 4478, 6055, 3555, 3615, 11296, 39896, 30544, 8978, 2423, 39184, 318, 37495, 22653, 39896, 30544, 15844, 25124, 28820, 23758], "avg_logprob": -0.21805037802724697, "compression_ratio": 1.4656084656084656, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 715.73, "end": 715.97, "word": "ما", "probability": 0.26806640625}, {"start": 715.97, "end": 716.39, "word": " دامت", "probability": 0.8782552083333334}, {"start": 716.39, "end": 716.65, "word": " الـ", "probability": 0.8603515625}, {"start": 716.65, "end": 716.83, "word": " S", "probability": 0.78173828125}, {"start": 716.83, "end": 717.09, "word": " is", "probability": 0.62060546875}, {"start": 717.09, "end": 717.45, "word": " non", "probability": 0.7392578125}, {"start": 717.45, "end": 718.09, "word": "-empty", "probability": 0.8517252604166666}, {"start": 718.09, "end": 718.39, "word": " إذا", "probability": 0.5482177734375}, {"start": 718.39, "end": 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"probability": 0.0994873046875}, {"start": 723.91, "end": 724.45, "word": " ordering", "probability": 0.85107421875}, {"start": 724.45, "end": 725.25, "word": " principle", "probability": 0.81689453125}, {"start": 725.25, "end": 726.17, "word": " it", "probability": 0.72314453125}, {"start": 726.17, "end": 726.57, "word": " has", "probability": 0.94873046875}, {"start": 726.57, "end": 726.81, "word": " a", "probability": 0.958984375}, {"start": 726.81, "end": 727.39, "word": " least", "probability": 0.94580078125}, {"start": 727.39, "end": 728.09, "word": " element", "probability": 0.96728515625}, {"start": 728.09, "end": 729.33, "word": " الآن", "probability": 0.6748046875}, {"start": 729.33, "end": 729.51, "word": " ال", "probability": 0.76708984375}, {"start": 729.51, "end": 729.95, "word": " least", "probability": 0.83740234375}, {"start": 729.95, "end": 730.37, "word": " element", "probability": 0.98193359375}, {"start": 730.37, "end": 730.97, "word": " تبعها", "probability": 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"end": 755.86, "word": " least", "probability": 0.958984375}, {"start": 755.86, "end": 756.34, "word": " element", "probability": 0.966796875}, {"start": 756.34, "end": 756.92, "word": " this", "probability": 0.6103515625}, {"start": 756.92, "end": 757.5, "word": " least", "probability": 0.9541015625}, {"start": 757.5, "end": 758.22, "word": " element", "probability": 0.96923828125}, {"start": 758.22, "end": 759.64, "word": " is", "probability": 0.95166015625}, {"start": 759.64, "end": 760.54, "word": " the", "probability": 0.9228515625}, {"start": 760.54, "end": 760.92, "word": " greatest", "probability": 0.94580078125}, {"start": 760.92, "end": 761.3, "word": " common", "probability": 0.92333984375}, {"start": 761.3, "end": 761.9, "word": " divisor", "probability": 0.965576171875}, {"start": 761.9, "end": 762.14, "word": " D", "probability": 0.8955078125}, {"start": 762.14, "end": 763.0, "word": " دعونا", "probability": 0.68463134765625}, {"start": 763.0, "end": 763.18, "word": " نشوف", "probability": 0.9959309895833334}, {"start": 763.18, "end": 763.66, "word": " التفاصيل", "probability": 0.984619140625}, {"start": 763.66, "end": 764.0, "word": " الآن", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 31, "seek": 78969, "start": 773.65, "end": 789.69, "text": "هذا الـ set اللي بنحكي عنها عبارة عن set AU زي بي و V أكبر من Zero such that الـ U و ال V element أنزلت لاحظ مالي طبعا احنا بنقول", "tokens": [3224, 15730, 2423, 39184, 992, 13672, 1829, 44945, 5016, 4117, 1829, 18871, 11296, 6225, 3555, 9640, 3660, 18871, 992, 7171, 30767, 1829, 4724, 1829, 4032, 691, 5551, 4117, 26890, 9154, 17182, 1270, 300, 2423, 39184, 624, 4032, 2423, 691, 4478, 14739, 11622, 1211, 2655, 20193, 5016, 19913, 3714, 6027, 1829, 23032, 3555, 3615, 995, 1975, 5016, 8315, 44945, 39648], "avg_logprob": -0.39218748956918714, "compression_ratio": 1.3112582781456954, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 773.65, "end": 773.95, "word": "هذا", "probability": 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"end": 778.55, "word": " V", "probability": 0.66064453125}, {"start": 778.55, "end": 779.45, "word": " أكبر", "probability": 0.9191080729166666}, {"start": 779.45, "end": 779.61, "word": " من", "probability": 0.98046875}, {"start": 779.61, "end": 779.95, "word": " Zero", "probability": 0.1849365234375}, {"start": 779.95, "end": 780.51, "word": " such", "probability": 0.43603515625}, {"start": 780.51, "end": 780.95, "word": " that", "probability": 0.9560546875}, {"start": 780.95, "end": 781.23, "word": " الـ", "probability": 0.4385986328125}, {"start": 781.23, "end": 781.39, "word": " U", "probability": 0.7265625}, {"start": 781.39, "end": 781.57, "word": " و", "probability": 0.46142578125}, {"start": 781.57, "end": 781.59, "word": " ال", "probability": 0.58837890625}, {"start": 781.59, "end": 781.89, "word": " V", "probability": 0.54248046875}, {"start": 781.89, "end": 782.87, "word": " element", "probability": 0.76708984375}, {"start": 782.87, "end": 785.13, "word": " أنزلت", 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إذا", "probability": 0.510009765625}, {"start": 886.9, "end": 887.32, "word": " صار", "probability": 0.93505859375}, {"start": 887.32, "end": 887.88, "word": " عندي", "probability": 0.5272216796875}, {"start": 887.88, "end": 888.28, "word": " إذا", "probability": 0.812744140625}, {"start": 888.28, "end": 889.28, "word": " ال", "probability": 0.9658203125}, {"start": 889.28, "end": 889.78, "word": " absolute", "probability": 0.9365234375}, {"start": 889.78, "end": 890.38, "word": " value", "probability": 0.9892578125}, {"start": 890.38, "end": 890.6, "word": " لل", "probability": 0.73046875}, {"start": 890.6, "end": 890.86, "word": " a", "probability": 0.412841796875}, {"start": 890.86, "end": 891.3, "word": " element", "probability": 0.8447265625}, {"start": 891.3, "end": 891.56, "word": " in", "probability": 0.7841796875}, {"start": 891.56, "end": 892.56, "word": " مين؟", "probability": 0.6839192708333334}, {"start": 892.56, "end": 892.86, "word": " in", "probability": 0.806640625}, {"start": 892.86, "end": 893.18, "word": " S", "probability": 0.5439453125}, {"start": 893.18, "end": 894.22, "word": " إذا", "probability": 0.957763671875}, {"start": 894.22, "end": 894.6, "word": " صارت", "probability": 0.9505208333333334}, {"start": 894.6, "end": 895.48, "word": " عندي", "probability": 0.7099609375}, {"start": 895.48, "end": 895.7, "word": " ال", "probability": 0.9287109375}, {"start": 895.7, "end": 896.12, "word": " S", "probability": 0.79736328125}], "temperature": 1.0}, {"id": 36, "seek": 91229, "start": 897.07, "end": 912.29, "text": "is a non-empty set of positive integers then it has a least element", "tokens": [271, 257, 2107, 12, 4543, 88, 992, 295, 3353, 41674, 550, 309, 575, 257, 1935, 4478], "avg_logprob": -0.20921415441176472, "compression_ratio": 1.046875, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 897.07, "end": 897.59, "word": "is", "probability": 0.2215576171875}, {"start": 897.59, "end": 898.53, "word": " a", "probability": 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"end": 1179.19, "word": " ال", "probability": 0.7890625}, {"start": 1179.19, "end": 1179.39, "word": " B", "probability": 0.935546875}, {"start": 1179.39, "end": 1180.45, "word": " بكون", "probability": 0.72119140625}, {"start": 1180.45, "end": 1181.03, "word": " أثبتنا", "probability": 0.954296875}, {"start": 1181.03, "end": 1181.41, "word": " احنا", "probability": 0.82958984375}, {"start": 1181.41, "end": 1181.89, "word": " الآن", "probability": 0.786865234375}, {"start": 1181.89, "end": 1183.11, "word": " انه", "probability": 0.716064453125}, {"start": 1183.11, "end": 1184.07, "word": " صارت", "probability": 0.9886067708333334}, {"start": 1184.07, "end": 1184.43, "word": " عندي", "probability": 0.80224609375}, {"start": 1184.43, "end": 1184.99, "word": " الآن", "probability": 0.847412109375}, {"start": 1184.99, "end": 1185.81, "word": " ال", "probability": 0.9326171875}, {"start": 1185.81, "end": 1186.09, "word": " D", "probability": 0.98486328125}, {"start": 1186.09, "end": 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"word": " وطبعا", "probability": 0.87568359375}, {"start": 1204.44, "end": 1204.64, "word": " ال", "probability": 0.96337890625}, {"start": 1204.64, "end": 1204.92, "word": " D", "probability": 0.98046875}, {"start": 1204.92, "end": 1205.66, "word": " تبعتنا", "probability": 0.921630859375}, {"start": 1205.66, "end": 1206.22, "word": " ا��نا", "probability": 0.8601888020833334}, {"start": 1206.22, "end": 1206.52, "word": " إيش", "probability": 0.8675130208333334}, {"start": 1206.52, "end": 1207.02, "word": " وجدنا", "probability": 0.9694010416666666}, {"start": 1207.02, "end": 1207.76, "word": " صورتها", "probability": 0.9368896484375}, {"start": 1207.76, "end": 1208.84, "word": " D", "probability": 0.69970703125}, {"start": 1208.84, "end": 1210.04, "word": " بسوء", "probability": 0.63800048828125}, {"start": 1210.04, "end": 1210.68, "word": " Ax", "probability": 0.568359375}, {"start": 1210.68, "end": 1211.54, "word": " زائد", "probability": 0.5904134114583334}, {"start": 1211.54, "end": 1212.1, "word": " By", "probability": 0.93896484375}, {"start": 1212.1, "end": 1213.2, "word": " for", "probability": 0.90185546875}, {"start": 1213.2, "end": 1214.04, "word": " some", "probability": 0.90869140625}, {"start": 1214.04, "end": 1215.02, "word": " x", "probability": 0.84619140625}, {"start": 1215.02, "end": 1215.66, "word": " y", "probability": 0.556640625}, {"start": 1215.66, "end": 1216.28, "word": " element", "probability": 0.935546875}, {"start": 1216.28, "end": 1216.6, "word": " in", "probability": 0.9267578125}, {"start": 1216.6, "end": 1216.78, "word": " Z", "probability": 0.55419921875}], "temperature": 1.0}, {"id": 49, "seek": 123941, "start": 1219.01, "end": 1239.41, "text": "الان دي اثبتلك اللي هو ان دي اكبر عامل مشترك كيف اثبت؟ بقول let C عامل مشترك بين الـA والـB يعني نفترض ان الـC بتقسم الـA والـC بتقسم الـB مادام الـC بتقسم الـA والـC بتقسم الـB", "tokens": [6027, 7649, 11778, 1829, 1975, 12984, 3555, 2655, 23275, 13672, 1829, 31439, 16472, 11778, 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"probability": 0.96435546875}, {"start": 1220.61, "end": 1220.91, "word": " ان", "probability": 0.86279296875}, {"start": 1220.91, "end": 1221.81, "word": " دي", "probability": 0.6334228515625}, {"start": 1221.81, "end": 1222.43, "word": " اكبر", "probability": 0.83544921875}, {"start": 1222.43, "end": 1223.01, "word": " عامل", "probability": 0.99609375}, {"start": 1223.01, "end": 1223.53, "word": " مشترك", "probability": 0.9698893229166666}, {"start": 1223.53, "end": 1224.15, "word": " كيف", "probability": 0.806884765625}, {"start": 1224.15, "end": 1224.71, "word": " اثبت؟", "probability": 0.76533203125}, {"start": 1224.71, "end": 1225.17, "word": " بقول", "probability": 0.91748046875}, {"start": 1225.17, "end": 1226.29, "word": " let", "probability": 0.3876953125}, {"start": 1226.29, "end": 1227.67, "word": " C", "probability": 0.58935546875}, {"start": 1227.67, "end": 1228.59, "word": " عامل", "probability": 0.9912109375}, {"start": 1228.59, "end": 1229.19, "word": " مشترك", "probability": 0.990234375}, {"start": 1229.19, "end": 1229.57, "word": " بين", "probability": 0.8974609375}, {"start": 1229.57, "end": 1230.61, "word": " الـA", "probability": 0.64599609375}, {"start": 1230.61, "end": 1231.07, "word": " والـB", "probability": 0.7540690104166666}, {"start": 1231.07, "end": 1231.85, "word": " يعني", "probability": 0.728759765625}, {"start": 1231.85, "end": 1232.33, "word": " نفترض", "probability": 0.971923828125}, {"start": 1232.33, "end": 1232.51, "word": " ان", "probability": 0.84033203125}, {"start": 1232.51, "end": 1232.73, "word": " الـC", "probability": 0.9039713541666666}, {"start": 1232.73, "end": 1233.19, "word": " بتقسم", "probability": 0.6800944010416666}, {"start": 1233.19, "end": 1233.59, "word": " الـA", "probability": 0.9759114583333334}, {"start": 1233.59, "end": 1234.71, "word": " والـC", "probability": 0.84033203125}, {"start": 1234.71, "end": 1235.51, "word": " بتقسم", "probability": 0.9724934895833334}, {"start": 1235.51, "end": 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"text": "لأ الكورولر الأولى الكورولر الأولى تقول ما يالي إن لو كان a و b عبارة عن integers not both zero then the set T", "tokens": [1211, 10721, 33251, 13063, 12610, 2288, 16247, 12610, 7578, 33251, 13063, 12610, 2288, 16247, 12610, 7578, 6055, 39648, 19446, 7251, 6027, 1829, 36145, 45164, 25961, 257, 4032, 272, 6225, 3555, 9640, 3660, 18871, 41674, 406, 1293, 4018, 550, 264, 992, 314], "avg_logprob": -0.23586308849709375, "compression_ratio": 1.4102564102564104, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 1380.39, "end": 1380.93, "word": "لأ", "probability": 0.730712890625}, {"start": 1380.93, "end": 1381.77, "word": " الكورولر", "probability": 0.69097900390625}, {"start": 1381.77, "end": 1382.81, "word": " الأولى", "probability": 0.9786783854166666}, {"start": 1382.81, "end": 1386.03, "word": " الكورولر", "probability": 0.85784912109375}, {"start": 1386.03, "end": 1386.53, "word": " الأولى", "probability": 0.9944661458333334}, {"start": 1386.53, "end": 1386.97, 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هنا أي element في الـT معناه يصار الـelement هذا على صورة Ax زاد Ash By Ax على صورة Ash By", "tokens": [2304, 3215, 10943, 13672, 1829, 31439, 2423, 7649, 413, 8978, 2423, 39184, 51, 11933, 15730, 20328, 9640, 2655, 13672, 1829, 39896, 2423, 39184, 51, 13672, 1829, 31439, 2423, 39184, 50, 34051, 2423, 39184, 51, 6055, 33753, 45865, 2423, 39184, 50, 4032, 46958, 5016, 5551, 3224, 22807, 2615, 736, 16490, 20292, 8315, 8717, 47283, 3215, 36632, 4478, 34105, 36632, 4478, 8978, 2423, 39184, 51, 20449, 8315, 3224, 7251, 9381, 9640, 2423, 39184, 68, 3054, 23758, 15844, 20328, 13063, 3660, 20118, 30767, 18513, 10279, 3146, 20118, 15844, 20328, 13063, 3660, 10279, 3146], "avg_logprob": -0.27850275183771994, "compression_ratio": 1.7795698924731183, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1553.61, "end": 1554.19, "word": "مدام", "probability": 0.6422526041666666}, {"start": 1554.19, "end": 1554.45, "word": " اللي", "probability": 0.703369140625}, {"start": 1554.45, "end": 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الprime", "probability": 0.5682779947916666}, {"start": 1782.23, "end": 1782.61, "word": " هيو", "probability": 0.840576171875}, {"start": 1782.61, "end": 1783.65, "word": " الان", "probability": 0.518798828125}, {"start": 1783.65, "end": 1784.13, "word": " نيجي", "probability": 0.961181640625}, {"start": 1784.13, "end": 1784.93, "word": " نبرهن", "probability": 0.9129638671875}, {"start": 1784.93, "end": 1785.03, "word": " ال", "probability": 0.8486328125}, {"start": 1785.03, "end": 1785.37, "word": " proof", "probability": 0.8525390625}, {"start": 1785.37, "end": 1786.55, "word": " ال", "probability": 0.97802734375}, {"start": 1786.55, "end": 1786.99, "word": " proof", "probability": 0.9091796875}, {"start": 1786.99, "end": 1787.67, "word": " البرهن", "probability": 0.74566650390625}, {"start": 1787.67, "end": 1788.23, "word": " سهل", "probability": 0.9959309895833334}, {"start": 1788.23, "end": 1789.09, "word": " لأن", "probability": 0.6690673828125}, {"start": 1789.09, "end": 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{"start": 1800.98, "end": 1801.02, "word": " A", "probability": 0.85791015625}, {"start": 1801.02, "end": 1801.28, "word": " والـ", "probability": 0.8466796875}, {"start": 1801.28, "end": 1801.42, "word": " B", "probability": 0.76318359375}, {"start": 1801.42, "end": 1801.9, "word": " بيساوي", "probability": 0.9580078125}, {"start": 1801.9, "end": 1802.14, "word": " D", "probability": 0.84130859375}, {"start": 1802.14, "end": 1802.32, "word": " أو", "probability": 0.73828125}, {"start": 1802.32, "end": 1802.64, "word": " كده", "probability": 0.9348958333333334}, {"start": 1802.64, "end": 1802.78, "word": " أو", "probability": 0.6689453125}, {"start": 1802.78, "end": 1803.02, "word": " اللي", "probability": 0.923095703125}, {"start": 1803.02, "end": 1803.3, "word": " هو", "probability": 0.99267578125}, {"start": 1803.3, "end": 1804.02, "word": " إذا", "probability": 0.695556640625}, {"start": 1804.02, "end": 1804.42, "word": " هذا", "probability": 0.7470703125}, {"start": 1804.42, "end": 1804.84, "word": " بنقدر", "probability": 0.8157552083333334}, {"start": 1804.84, "end": 1805.18, "word": " نكتبه", "probability": 0.843798828125}, {"start": 1805.18, "end": 1805.3, "word": " على", "probability": 0.89697265625}, {"start": 1805.3, "end": 1805.6, "word": " صورة", "probability": 0.9601236979166666}, {"start": 1805.6, "end": 1805.86, "word": " linear", "probability": 0.3896484375}, {"start": 1805.86, "end": 1806.44, "word": " combination", "probability": 0.97119140625}, {"start": 1806.44, "end": 1806.68, "word": " بين", "probability": 0.94677734375}, {"start": 1806.68, "end": 1806.86, "word": " الـ", "probability": 0.88818359375}, {"start": 1806.86, "end": 1806.92, "word": " A", "probability": 0.8251953125}, {"start": 1806.92, "end": 1807.08, "word": " والـ", "probability": 0.877197265625}, {"start": 1807.08, "end": 1807.3, "word": " B", "probability": 0.71533203125}], "temperature": 1.0}, {"id": 73, "seek": 183008, "start": 1807.82, "end": 1830.08, "text": "بالتأكيد سنستخدم النظرية اذا by the above theorem there exists x y element in z such that ax زائد by بيساوي ال greatest common divisor بين ال a والb وهو المفروض بالأول conversely", "tokens": [3555, 6027, 2655, 10721, 4117, 25708, 8608, 1863, 14851, 9778, 40448, 28239, 19913, 2288, 10632, 1975, 15730, 538, 264, 3673, 20904, 456, 8198, 2031, 288, 4478, 294, 710, 1270, 300, 6360, 30767, 16373, 3215, 538, 4724, 1829, 3794, 995, 45865, 2423, 6636, 2689, 25974, 284, 49374, 2423, 257, 16070, 65, 37037, 2407, 9673, 5172, 32887, 11242, 20666, 10721, 12610, 2615, 736], "avg_logprob": -0.4682459739908095, "compression_ratio": 1.3204419889502763, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1807.82, "end": 1808.68, "word": "بالتأكيد", "probability": 0.5360921223958334}, {"start": 1808.68, "end": 1811.82, "word": " سنستخدم", "probability": 0.777490234375}, {"start": 1811.82, "end": 1812.48, "word": " النظرية", "probability": 0.909912109375}, {"start": 1812.48, "end": 1813.22, 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"probability": 0.8896484375}, {"start": 1818.16, "end": 1818.52, "word": " that", "probability": 0.943359375}, {"start": 1818.52, "end": 1819.0, "word": " ax", "probability": 0.69970703125}, {"start": 1819.0, "end": 1819.44, "word": " زائد", "probability": 0.4505411783854167}, {"start": 1819.44, "end": 1820.04, "word": " by", "probability": 0.9765625}, {"start": 1820.04, "end": 1820.86, "word": " بيساوي", "probability": 0.64462890625}, {"start": 1820.86, "end": 1820.96, "word": " ال", "probability": 0.291748046875}, {"start": 1820.96, "end": 1821.34, "word": " greatest", "probability": 0.87109375}, {"start": 1821.34, "end": 1821.74, "word": " common", "probability": 0.93701171875}, {"start": 1821.74, "end": 1822.22, "word": " divisor", "probability": 0.93798828125}, {"start": 1822.22, "end": 1822.42, "word": " بين", "probability": 0.71875}, {"start": 1822.42, "end": 1822.6, "word": " ال", "probability": 0.458984375}, {"start": 1822.6, "end": 1822.7, "word": " a", "probability": 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1836.68, "end": 1837.14, "word": " that", "probability": 0.67236328125}, {"start": 1837.14, "end": 1838.64, "word": " there", "probability": 0.53955078125}, {"start": 1838.64, "end": 1839.4, "word": " exists", "probability": 0.496337890625}, {"start": 1839.4, "end": 1840.46, "word": " x", "probability": 0.6123046875}, {"start": 1840.46, "end": 1840.94, "word": " y", "probability": 0.421142578125}, {"start": 1840.94, "end": 1841.84, "word": " element", "probability": 0.90478515625}, {"start": 1841.84, "end": 1842.32, "word": " in", "probability": 0.9296875}, {"start": 1842.32, "end": 1842.62, "word": " z", "probability": 0.86767578125}, {"start": 1842.62, "end": 1843.46, "word": " such", "probability": 0.7255859375}, {"start": 1843.46, "end": 1843.86, "word": " that", "probability": 0.93408203125}, {"start": 1843.86, "end": 1844.46, "word": " ax", "probability": 0.6923828125}, {"start": 1844.46, "end": 1845.4, "word": " plus", "probability": 0.030731201171875}, {"start": 1845.4, "end": 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"probability": 0.97509765625}, {"start": 2757.06, "end": 2757.3, "word": " في", "probability": 0.9619140625}, {"start": 2757.3, "end": 2757.66, "word": " some", "probability": 0.5673828125}, {"start": 2757.66, "end": 2759.32, "word": " انتجر", "probability": 0.73651123046875}], "temperature": 1.0}, {"id": 109, "seek": 279378, "start": 2772.44, "end": 2793.78, "text": "Corollary 2 إذن الآن النجم اللي .. اللي .. اللي حكيناه إذن احنا اتحدثنا عن ال greatest common divisor ال greatest common divisor", "tokens": [29020, 1833, 822, 568, 11933, 8848, 1863, 6024, 48506, 28239, 7435, 2304, 13672, 1829, 4386, 13672, 1829, 4386, 13672, 1829, 11331, 4117, 1829, 8315, 3224, 11933, 8848, 1863, 1975, 5016, 8315, 1975, 2655, 24401, 12984, 8315, 18871, 2423, 6636, 2689, 25974, 284, 2423, 6636, 2689, 25974, 284], "avg_logprob": -0.23046874441206455, "compression_ratio": 1.6181818181818182, "no_speech_prob": 0.0, "words": [{"start": 2772.4399999999996, "end": 2773.72, "word": "Corollary", "probability": 0.61932373046875}, {"start": 2773.72, "end": 2774.16, "word": " 2", "probability": 0.83447265625}, {"start": 2774.16, "end": 2774.66, "word": " إذن", "probability": 0.50830078125}, {"start": 2774.66, "end": 2775.2, "word": " الآن", "probability": 0.822265625}, {"start": 2775.2, "end": 2779.08, "word": " النجم", "probability": 0.7887369791666666}, {"start": 2779.08, "end": 2779.98, "word": " اللي", "probability": 0.91455078125}, {"start": 2779.98, "end": 2780.02, "word": " ..", "probability": 0.463134765625}, {"start": 2780.02, "end": 2780.66, "word": " اللي", "probability": 0.972412109375}, {"start": 2780.66, "end": 2780.76, "word": " ..", "probability": 0.8076171875}, {"start": 2780.76, "end": 2782.26, "word": " اللي", "probability": 0.988037109375}, {"start": 2782.26, "end": 2783.46, "word": " حكيناه", "probability": 0.9587890625}, {"start": 2783.46, "end": 2785.0, "word": " إذن", "probability": 0.80224609375}, {"start": 2785.0, "end": 2785.62, "word": " احنا", "probability": 0.8213704427083334}, {"start": 2785.62, "end": 2786.72, "word": " اتحدثنا", "probability": 0.94189453125}, {"start": 2786.72, "end": 2788.92, "word": " عن", "probability": 0.958984375}, {"start": 2788.92, "end": 2789.1, "word": " ال", "probability": 0.671875}, {"start": 2789.1, "end": 2789.42, "word": " greatest", "probability": 0.6298828125}, {"start": 2789.42, "end": 2789.8, "word": " common", "probability": 0.91748046875}, {"start": 2789.8, "end": 2790.64, "word": " divisor", "probability": 0.9716796875}, {"start": 2790.64, "end": 2792.38, "word": " ال", "probability": 0.40380859375}, {"start": 2792.38, "end": 2792.7, "word": " greatest", "probability": 0.8134765625}, {"start": 2792.7, "end": 2793.04, "word": " common", "probability": 0.95068359375}, {"start": 2793.04, "end": 2793.78, "word": " divisor", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 110, "seek": 281393, "start": 2795.51, "end": 2813.93, "text": "بين الـ A والـ B سمناها D وقلنا شو معنات الـ Greatest Common Divisor ومن ثم اللي هو وصلنا بنظرية أنه الـ D كان بيرتن على صورة AX زائد BY ومن ثم جينا", "tokens": [3555, 9957, 2423, 39184, 316, 16070, 39184, 363, 8608, 2304, 8315, 11296, 413, 4032, 4587, 1211, 8315, 13412, 2407, 20449, 8315, 2655, 2423, 39184, 3769, 377, 18235, 9886, 271, 284, 4032, 27842, 38637, 2304, 13672, 1829, 31439, 4032, 36520, 8315, 44945, 19913, 2288, 10632, 14739, 3224, 2423, 39184, 413, 25961, 4724, 13546, 2655, 1863, 15844, 20328, 13063, 3660, 316, 55, 30767, 16373, 3215, 26930, 4032, 27842, 38637, 2304, 10874, 1829, 8315], "avg_logprob": -0.2632378463943799, "compression_ratio": 1.3905325443786982, "no_speech_prob": 1.329183578491211e-05, "words": [{"start": 2795.51, "end": 2795.97, "word": "بين", "probability": 0.879150390625}, {"start": 2795.97, "end": 2796.25, "word": " الـ", "probability": 0.901611328125}, {"start": 2796.25, "end": 2796.35, "word": " A", "probability": 0.455322265625}, {"start": 2796.35, "end": 2796.65, "word": " والـ", "probability": 0.6431884765625}, {"start": 2796.65, "end": 2796.99, "word": " B", "probability": 0.85986328125}, {"start": 2796.99, "end": 2797.97, "word": " سمناها", "probability": 0.67694091796875}, {"start": 2797.97, "end": 2798.17, "word": " D", "probability": 0.91796875}, {"start": 2798.17, "end": 2799.19, "word": " وقلنا", "probability": 0.8226318359375}, {"start": 2799.19, "end": 2799.37, "word": " شو", "probability": 0.80078125}, {"start": 2799.37, "end": 2799.71, "word": " معنات", "probability": 0.76025390625}, {"start": 2799.71, "end": 2799.87, "word": " الـ", "probability": 0.4896240234375}, {"start": 2799.87, "end": 2800.19, "word": " Greatest", "probability": 0.62548828125}, {"start": 2800.19, "end": 2800.37, "word": " Common", "probability": 0.638671875}, {"start": 2800.37, "end": 2801.03, "word": " Divisor", "probability": 0.8419596354166666}, {"start": 2801.03, "end": 2802.05, "word": " ومن", "probability": 0.873779296875}, {"start": 2802.05, "end": 2802.49, "word": " ثم", "probability": 0.9814453125}, {"start": 2802.49, "end": 2803.57, "word": " اللي", "probability": 0.95263671875}, {"start": 2803.57, "end": 2803.81, "word": " هو", "probability": 0.9755859375}, {"start": 2803.81, "end": 2804.51, "word": " وصلنا", "probability": 0.7500813802083334}, {"start": 2804.51, "end": 2805.71, "word": " بنظرية", "probability": 0.906982421875}, {"start": 2805.71, "end": 2806.57, "word": " أنه", "probability": 0.4798583984375}, {"start": 2806.57, "end": 2807.05, "word": " الـ", "probability": 0.900146484375}, {"start": 2807.05, "end": 2807.21, "word": " D", "probability": 0.87451171875}, {"start": 2807.21, "end": 2807.49, "word": " كان", "probability": 0.9853515625}, {"start": 2807.49, "end": 2807.97, "word": " بيرتن", "probability": 0.68243408203125}, {"start": 2807.97, "end": 2808.17, "word": " على", "probability": 0.88671875}, {"start": 2808.17, "end": 2808.59, "word": " صورة", "probability": 0.9747721354166666}, {"start": 2808.59, "end": 2809.11, "word": " AX", "probability": 0.575439453125}, {"start": 2809.11, "end": 2809.53, "word": " زائد", "probability": 0.6229654947916666}, {"start": 2809.53, "end": 2809.91, "word": " BY", "probability": 0.94189453125}, {"start": 2809.91, "end": 2812.05, "word": " ومن", "probability": 0.95263671875}, {"start": 2812.05, "end": 2812.61, "word": " ثم", "probability": 0.994140625}, {"start": 2812.61, "end": 2813.93, "word": " جينا", "probability": 0.7738444010416666}], "temperature": 1.0}, {"id": 111, "seek": 283823, "start": 2815.71, "end": 2838.23, "text": "وصلنا أنه في حالة .. في حالة الـ greatest common divisor بين الـA والـB بساوية واحد يمكن الحصول على نتيجة بـF and والـF اللي هو greatest common divisor بين الـA والـB بساوية واحد إذا وفقط إذا اللي هو ax زائد by بساوية واحد for some", "tokens": [2407, 36520, 8315, 14739, 3224, 8978, 11331, 6027, 3660, 4386, 8978, 11331, 6027, 3660, 2423, 39184, 6636, 2689, 25974, 284, 49374, 2423, 39184, 32, 16070, 39184, 33, 4724, 3794, 995, 2407, 10632, 36764, 24401, 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