diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RNahrP2LIYY_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RNahrP2LIYY_raw.json"
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@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3706, "start": 21.58, "end": 37.06, "text": "بسم الله الرحمن الرحيم في نهاية المحاضرة الماضية أخدنا نظرية النظرية بتقول لو عندي رقمين S و T are relatively prime يبقى ال U S T isomorphic", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 8717, 11296, 10632, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 5551, 9778, 3215, 8315, 8717, 19913, 2288, 10632, 28239, 19913, 2288, 10632, 39894, 39648, 45164, 18871, 16254, 12602, 4587, 2304, 9957, 318, 4032, 314, 366, 7226, 5835, 7251, 3555, 4587, 7578, 2423, 624, 318, 314, 307, 32702, 299], "avg_logprob": -0.1745233076103663, "compression_ratio": 1.4350649350649352, "no_speech_prob": 0.0, "words": [{"start": 21.58, "end": 21.9, "word": "بسم", "probability": 0.691650390625}, {"start": 21.9, "end": 22.12, "word": " الله", "probability": 0.95556640625}, {"start": 22.12, "end": 22.52, "word": " الرحمن", "probability": 0.9275716145833334}, {"start": 22.52, "end": 23.34, "word": " الرحيم", 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"end": 340.69, "word": " يساوي", "probability": 0.9432373046875}, {"start": 340.69, "end": 341.57, "word": " زيرو", "probability": 0.640380859375}, {"start": 341.57, "end": 342.33, "word": " مضاعفات", "probability": 0.86650390625}, {"start": 342.33, "end": 343.49, "word": " الخمستاشر", "probability": 0.90791015625}, {"start": 343.49, "end": 344.37, "word": " طيب", "probability": 0.9280598958333334}, {"start": 344.37, "end": 344.91, "word": " الست", "probability": 0.665283203125}, {"start": 344.91, "end": 345.19, "word": " عشر", "probability": 0.5279541015625}, {"start": 345.19, "end": 345.61, "word": " منهم", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 16, "seek": 37268, "start": 346.7, "end": 372.68, "text": "يعني انت الخامس و الستاشر ده مانحط رقم قدامه و لما تحط رقم قدامه تتأكد ان الرقم هذا relatively prime على المية و خمسة ولا لا تمام؟ حتى يكون من عناصر المية و خمسة الستاشر من عناصر المية و خمسة لأنهم بيقسمش غير على اتنين و اربعة و تمانية وهذه كلها relatively prime 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{"start": 360.56, "end": 361.04, "word": " من", "probability": 0.962890625}, {"start": 361.04, "end": 361.56, "word": " عناصر", "probability": 0.9913736979166666}, {"start": 361.56, "end": 361.82, "word": " المية", "probability": 0.962646484375}, {"start": 361.82, "end": 361.94, "word": " و", "probability": 0.998046875}, {"start": 361.94, "end": 362.2, "word": " خمسة", "probability": 0.9508056640625}, {"start": 362.2, "end": 362.54, "word": " لأنهم", "probability": 0.7354329427083334}, {"start": 362.54, "end": 363.08, "word": " بيقسمش", "probability": 0.756982421875}, {"start": 363.08, "end": 363.24, "word": " غير", "probability": 0.917724609375}, {"start": 363.24, "end": 363.36, "word": " على", "probability": 0.68359375}, {"start": 363.36, "end": 363.58, "word": " اتنين", "probability": 0.9337158203125}, {"start": 363.58, "end": 363.68, "word": " و", "probability": 0.626953125}, {"start": 363.68, "end": 363.96, "word": " اربعة", "probability": 0.70556640625}, {"start": 363.96, "end": 364.06, "word": " و", "probability": 0.513671875}, {"start": 364.06, "end": 364.56, "word": " تمانية", "probability": 0.9541015625}, {"start": 364.56, "end": 365.34, "word": " وهذه", "probability": 0.737548828125}, {"start": 365.34, "end": 365.8, "word": " كلها", "probability": 0.9658203125}, {"start": 365.8, "end": 366.18, "word": " relatively", "probability": 0.603515625}, {"start": 366.18, "end": 366.64, "word": " prime", "probability": 0.9189453125}, {"start": 366.64, "end": 366.8, "word": " على", "probability": 0.59228515625}, {"start": 366.8, "end": 367.04, "word": " المية", "probability": 0.6856689453125}, {"start": 367.04, "end": 368.12, "word": " و", "probability": 0.990234375}, {"start": 368.12, "end": 368.7, "word": " خمسة", "probability": 0.9588623046875}, {"start": 368.7, "end": 369.54, "word": " يبقى", "probability": 0.9534912109375}, {"start": 369.54, "end": 370.48, "word": " ستاشر", "probability": 0.9237060546875}, {"start": 370.48, "end": 371.22, "word": " شريك", 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و ال 105 بتكسب على سبعة يبقى ال 91 مش منهم بدي كمان خمساش بكون فى التواصل 105,106 برا الرقم انتهينا منه", "tokens": [2407, 31064, 23032, 3555, 21136, 3555, 27884, 39894, 4117, 35457, 15844, 8608, 3555, 27884, 4032, 2423, 33705, 39894, 4117, 35457, 15844, 8608, 3555, 27884, 7251, 3555, 4587, 7578, 2423, 31064, 37893, 9154, 16095, 4724, 16254, 9122, 2304, 7649, 16490, 2304, 3794, 33599, 4724, 30544, 6156, 7578, 16712, 2407, 33546, 1211, 33705, 11, 3279, 21, 4724, 23557, 34892, 4587, 2304, 16472, 47395, 1829, 8315, 9154, 3224], "avg_logprob": -0.23011363365433432, "compression_ratio": 1.6470588235294117, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 449.99, "end": 450.33, "word": "و", "probability": 0.662109375}, {"start": 450.33, "end": 450.77, "word": " 91", "probability": 0.29638671875}, {"start": 450.77, "end": 451.95, "word": " طب", "probability": 0.69287109375}, {"start": 451.95, "end": 452.67, "word": " السبعة", "probability": 0.77392578125}, {"start": 452.67, 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"probability": 0.82275390625}, {"start": 1434.38, "end": 1435.28, "word": " وعشرين", "probability": 0.8995361328125}, {"start": 1435.28, "end": 1436.36, "word": " جبت", "probability": 0.8147786458333334}, {"start": 1436.36, "end": 1436.8, "word": " group", "probability": 0.9580078125}, {"start": 1436.8, "end": 1437.48, "word": " بتعمل", "probability": 0.9723307291666666}, {"start": 1437.48, "end": 1437.86, "word": " معاها", "probability": 0.91796875}, {"start": 1437.86, "end": 1438.84, "word": " isomorphism", "probability": 0.84423828125}, {"start": 1438.84, "end": 1439.96, "word": " وبالتالي", "probability": 0.9185546875}, {"start": 1439.96, "end": 1440.52, "word": " خواص", "probability": 0.9046223958333334}, {"start": 1440.52, "end": 1440.64, "word": " ال", "probability": 0.72265625}, {"start": 1440.64, "end": 1440.78, "word": " يو", "probability": 0.713134765625}, {"start": 1440.78, "end": 1441.28, "word": " سبعمية", "probability": 0.968505859375}, {"start": 1441.28, "end": 1441.9, "word": " وعشرين", "probability": 0.9625244140625}, {"start": 1441.9, "end": 1442.4, "word": " هي", "probability": 0.90380859375}, {"start": 1442.4, "end": 1442.78, "word": " نفس", "probability": 0.99267578125}, {"start": 1442.78, "end": 1443.46, "word": " الخواص", "probability": 0.908203125}, {"start": 1443.46, "end": 1443.66, "word": " اللي", "probability": 0.986328125}, {"start": 1443.66, "end": 1443.86, "word": " عندنا", "probability": 0.95751953125}, {"start": 1443.86, "end": 1444.12, "word": " يبقى", "probability": 0.9024658203125}, {"start": 1444.12, "end": 1444.42, "word": " بناء", "probability": 0.9765625}, {"start": 1444.42, "end": 1444.88, "word": " عليه", "probability": 0.95654296875}, {"start": 1444.88, "end": 1445.46, "word": " لو", "probability": 0.7880859375}, {"start": 1445.46, "end": 1445.78, "word": " جالي", "probability": 0.622314453125}, {"start": 1445.78, "end": 1446.2, "word": " هاتلي", "probability": 0.92333984375}, {"start": 1446.2, "end": 1446.62, "word": " element", "probability": 0.9287109375}, {"start": 1446.62, "end": 1446.94, "word": " ال", "probability": 0.8046875}, {"start": 1446.94, "end": 1447.38, "word": " order", "probability": 0.95703125}, {"start": 1447.38, "end": 1447.8, "word": " الو", "probability": 0.5411376953125}, {"start": 1447.8, "end": 1448.14, "word": " كذا", "probability": 0.93603515625}, {"start": 1448.14, "end": 1448.3, "word": " في", "probability": 0.853515625}, {"start": 1448.3, "end": 1448.84, "word": " سبعمية", "probability": 0.9559326171875}, {"start": 1448.84, "end": 1449.48, "word": " وعشرين", "probability": 0.9722900390625}], "temperature": 1.0}, {"id": 61, "seek": 146896, "start": 1450.0, "end": 1468.96, "text": "بروح على هذه هذه سهل التعامل معاها بس ليه 720 صعب التعامل معاها إذا بجيب هذه المكافئة لها ومن خلالها بقدر أجيب من اللي هو ال element اللي ال order عنده يعطيني إياه في السؤال", "tokens": [26890, 2407, 5016, 15844, 29538, 29538, 8608, 3224, 1211, 16712, 3615, 10943, 1211, 20449, 995, 11296, 4724, 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لها", "probability": 0.946044921875}, {"start": 1458.96, "end": 1459.42, "word": " ومن", "probability": 0.78271484375}, {"start": 1459.42, "end": 1460.34, "word": " خلالها", "probability": 0.99560546875}, {"start": 1460.34, "end": 1461.14, "word": " بقدر", "probability": 0.9873046875}, {"start": 1461.14, "end": 1461.5, "word": " أجيب", "probability": 0.925048828125}, {"start": 1461.5, "end": 1461.88, "word": " من", "probability": 0.290283203125}, {"start": 1461.88, "end": 1462.6, "word": " اللي", "probability": 0.9345703125}, {"start": 1462.6, "end": 1462.98, "word": " هو", "probability": 0.98779296875}, {"start": 1462.98, "end": 1463.66, "word": " ال", "probability": 0.8623046875}, {"start": 1463.66, "end": 1464.24, "word": " element", "probability": 0.90771484375}, {"start": 1464.24, "end": 1464.88, "word": " اللي", "probability": 0.8125}, {"start": 1464.88, "end": 1465.02, "word": " ال", "probability": 0.666015625}, {"start": 1465.02, "end": 1465.48, "word": " order", "probability": 0.97509765625}, {"start": 1465.48, "end": 1466.18, "word": " عنده", "probability": 0.5142822265625}, {"start": 1466.18, "end": 1467.2, "word": " يعطيني", "probability": 0.74365234375}, {"start": 1467.2, "end": 1467.88, "word": " إياه", "probability": 0.74365234375}, {"start": 1467.88, "end": 1468.16, "word": " في", "probability": 0.9326171875}, {"start": 1468.16, "end": 1468.96, "word": " السؤال", "probability": 0.9933268229166666}], "temperature": 1.0}, {"id": 62, "seek": 149153, "start": 1471.41, "end": 1491.53, "text": "يبقى هذا الشكل وضع لتبسيط الحسابات العملية في ال groups المختلفة نعطيك مثال على هذا الكلام", "tokens": [1829, 3555, 4587, 7578, 23758, 25124, 28820, 4032, 11242, 3615, 5296, 2655, 3555, 3794, 1829, 9566, 21542, 3794, 16758, 9307, 18863, 42213, 10632, 8978, 2423, 3935, 9673, 46456, 46538, 3660, 8717, 3615, 9566, 1829, 4117, 50113, 6027, 15844, 23758, 2423, 28820, 10943], "avg_logprob": -0.07639898221160091, "compression_ratio": 1.358974358974359, "no_speech_prob": 0.0, "words": [{"start": 1471.41, "end": 1471.85, "word": "يبقى", "probability": 0.90087890625}, {"start": 1471.85, "end": 1472.09, "word": " هذا", "probability": 0.919921875}, {"start": 1472.09, "end": 1472.67, "word": " الشكل", "probability": 0.9716796875}, {"start": 1472.67, "end": 1473.53, "word": " وضع", "probability": 0.9816080729166666}, {"start": 1473.53, "end": 1474.79, "word": " لتبسيط", "probability": 0.9708658854166666}, {"start": 1474.79, "end": 1476.15, "word": " الحسابات", "probability": 0.9925537109375}, {"start": 1476.15, "end": 1477.69, "word": " العملية", "probability": 0.8512369791666666}, {"start": 1477.69, "end": 1478.29, "word": " في", "probability": 0.95458984375}, {"start": 1478.29, "end": 1478.47, "word": " ال", "probability": 0.81201171875}, {"start": 1478.47, "end": 1479.21, "word": " groups", "probability": 0.5986328125}, {"start": 1479.21, "end": 1482.27, "word": " المختلفة", "probability": 0.9930419921875}, {"start": 1482.27, "end": 1489.73, "word": " نعطيك", "probability": 0.90419921875}, {"start": 1489.73, "end": 1490.27, "word": " مثال", "probability": 0.962158203125}, {"start": 1490.27, "end": 1490.51, "word": " على", "probability": 0.880859375}, {"start": 1490.51, "end": 1490.87, "word": " هذا", "probability": 0.9658203125}, {"start": 1490.87, "end": 1491.53, "word": " الكلام", "probability": 0.9337565104166666}], "temperature": 1.0}, {"id": 63, "seek": 152193, "start": 1492.17, "end": 1521.93, "text": "وبالتالي المثال انت تعودت على external product مكوّن من رقمين احنا هنعطيك سنة من تلاتة من اربعة اكثر من ذلك يبقى باجي بقول example how many elements of order", "tokens": [37746, 6027, 2655, 6027, 1829, 9673, 12984, 6027, 16472, 2655, 37279, 23328, 2655, 15844, 8320, 1674, 3714, 4117, 2407, 11703, 1863, 9154, 12602, 4587, 2304, 9957, 1975, 5016, 8315, 8032, 1863, 3615, 9566, 1829, 4117, 8608, 1863, 3660, 9154, 6055, 1211, 9307, 3660, 9154, 1975, 25513, 27884, 1975, 4117, 49115, 9154, 29910, 23275, 7251, 3555, 4587, 7578, 4724, 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"probability": 0.84637451171875}, {"start": 1498.79, "end": 1499.49, "word": " احنا", "probability": 0.88818359375}, {"start": 1499.49, "end": 1500.11, "word": " هنعطيك", "probability": 0.9551595052083334}, {"start": 1500.11, "end": 1500.51, "word": " سنة", "probability": 0.568115234375}, {"start": 1500.51, "end": 1500.75, "word": " من", "probability": 0.9921875}, {"start": 1500.75, "end": 1501.51, "word": " تلاتة", "probability": 0.948974609375}, {"start": 1501.51, "end": 1501.81, "word": " من", "probability": 0.89306640625}, {"start": 1501.81, "end": 1502.45, "word": " اربعة", "probability": 0.85302734375}, {"start": 1502.45, "end": 1503.45, "word": " اكثر", "probability": 0.92529296875}, {"start": 1503.45, "end": 1503.75, "word": " من", "probability": 0.994140625}, {"start": 1503.75, "end": 1504.31, "word": " ذلك", "probability": 0.9931640625}, {"start": 1504.31, "end": 1505.33, "word": " يبقى", "probability": 0.881591796875}, {"start": 1505.33, "end": 1505.73, "word": " باجي", "probability": 0.9163411458333334}, {"start": 1505.73, "end": 1506.13, "word": " بقول", "probability": 0.83740234375}, {"start": 1506.13, "end": 1506.91, "word": " example", "probability": 0.80859375}, {"start": 1506.91, "end": 1511.43, "word": " how", "probability": 0.83837890625}, {"start": 1511.43, "end": 1512.03, "word": " many", "probability": 0.9326171875}, {"start": 1512.03, "end": 1516.95, "word": " elements", "probability": 0.42333984375}, {"start": 1516.95, "end": 1520.29, "word": " of", "probability": 0.970703125}, {"start": 1520.29, "end": 1521.93, "word": " order", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 64, "seek": 155233, "start": 1551.07, "end": 1552.33, "text": "سؤال مرة تانية", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632], "avg_logprob": -0.2751736111111111, "compression_ratio": 0.7428571428571429, "no_speech_prob": 0.0, "words": [{"start": 1551.07, "end": 1551.75, "word": "سؤال", "probability": 0.7071126302083334}, {"start": 1551.75, "end": 1551.99, "word": " مرة", "probability": 0.95947265625}, {"start": 1551.99, "end": 1552.33, "word": " تانية", "probability": 0.9065755208333334}], "temperature": 1.0}, {"id": 65, "seek": 157892, "start": 1553.76, "end": 1578.92, "text": "السؤال بيقول ايه؟ بيقول اكم عنصر ال order الو اتناش في ال U سبعمية و عشرين طبعا بدنا نقعد نحسب كل element لحاله تطلع روحنا مش هنقدر نحسبهم لكن هذه سبعمية و عشرين اللي جاتها isomorphic لمين للي عندنا هذه بيبقى الحسابات هنا أسهل كتير جدا من الحسابات هناك ايوة", "tokens": [6027, 3794, 33604, 6027, 4724, 1829, 39648, 1975, 1829, 3224, 22807, 4724, 1829, 39648, 1975, 24793, 18871, 9381, 2288, 2423, 1668, 2423, 2407, 1975, 2655, 1863, 33599, 8978, 2423, 624, 8608, 3555, 25957, 10632, 4032, 6225, 46309, 9957, 23032, 3555, 3615, 995, 47525, 8315, 8717, 4587, 22488, 8717, 5016, 35457, 28242, 4478, 5296, 5016, 6027, 3224, 6055, 9566, 1211, 3615, 12602, 2407, 5016, 8315, 37893, 8032, 1863, 28543, 2288, 8717, 5016, 35457, 16095, 44381, 29538, 8608, 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1709.64, "end": 1709.96, "word": " هذا", "probability": 0.79296875}, {"start": 1709.96, "end": 1710.48, "word": " section", "probability": 0.31640625}, {"start": 1710.48, "end": 1711.62, "word": " وكان", "probability": 0.89794921875}, {"start": 1711.62, "end": 1712.14, "word": " مشان", "probability": 0.88232421875}, {"start": 1712.14, "end": 1712.88, "word": " اجيب", "probability": 0.9412841796875}, {"start": 1712.88, "end": 1713.74, "word": " ال", "probability": 0.6767578125}, {"start": 1713.74, "end": 1714.32, "word": " order", "probability": 0.9443359375}, {"start": 1714.32, "end": 1714.7, "word": " لل", "probability": 0.5703125}, {"start": 1714.7, "end": 1715.26, "word": " element", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 72, "seek": 173393, "start": 1716.63, "end": 1733.93, "text": "المُركّب مثلا من مُركّبة هنا بجيب ال list common multiple لمن ل ال two orders اللي عنده وبالتالي بكون جابت ال order لل element اللي موجود في ال external direct product لذلك بروح أخد element هنا", "tokens": [45340, 10859, 31747, 11703, 3555, 50113, 15040, 9154, 3714, 10859, 31747, 11703, 49401, 34105, 4724, 7435, 1829, 3555, 2423, 1329, 2689, 3866, 5296, 27842, 5296, 2423, 732, 9470, 13672, 1829, 43242, 3224, 46599, 6027, 2655, 6027, 1829, 4724, 30544, 10874, 16758, 2655, 2423, 1668, 24976, 4478, 13672, 1829, 3714, 29245, 23328, 8978, 2423, 8320, 2047, 1674, 5296, 8848, 23275, 4724, 32887, 5016, 5551, 9778, 3215, 4478, 34105], "avg_logprob": -0.3235294060672031, "compression_ratio": 1.486910994764398, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1716.6299999999999, "end": 1717.53, "word": "المُركّب", "probability": 0.56717529296875}, {"start": 1717.53, "end": 1718.03, "word": " مثلا", "probability": 0.55780029296875}, {"start": 1718.03, "end": 1718.19, "word": " من", "probability": 0.45263671875}, {"start": 1718.19, "end": 1718.95, "word": " مُركّبة", "probability": 0.91953125}, {"start": 1718.95, "end": 1719.17, "word": " هنا", "probability": 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0.908447265625}, {"start": 1724.59, "end": 1725.05, "word": " وبالتالي", "probability": 0.9330078125}, {"start": 1725.05, "end": 1725.49, "word": " بكون", "probability": 0.951904296875}, {"start": 1725.49, "end": 1726.03, "word": " جابت", "probability": 0.9554036458333334}, {"start": 1726.03, "end": 1726.53, "word": " ال", "probability": 0.8876953125}, {"start": 1726.53, "end": 1726.97, "word": " order", "probability": 0.96337890625}, {"start": 1726.97, "end": 1727.33, "word": " لل", "probability": 0.62255859375}, {"start": 1727.33, "end": 1727.87, "word": " element", "probability": 0.95361328125}, {"start": 1727.87, "end": 1728.19, "word": " اللي", "probability": 0.9306640625}, {"start": 1728.19, "end": 1728.59, "word": " موجود", "probability": 0.98486328125}, {"start": 1728.59, "end": 1728.71, "word": " في", "probability": 0.80419921875}, {"start": 1728.71, "end": 1728.85, "word": " ال", "probability": 0.419921875}, {"start": 1728.85, "end": 1729.39, "word": " external", "probability": 0.9560546875}, {"start": 1729.39, "end": 1730.03, "word": " direct", "probability": 0.61962890625}, {"start": 1730.03, "end": 1730.69, "word": " product", "probability": 0.96923828125}, {"start": 1730.69, "end": 1731.85, "word": " لذلك", "probability": 0.9539388020833334}, {"start": 1731.85, "end": 1732.29, "word": " بروح", "probability": 0.8400065104166666}, {"start": 1732.29, "end": 1732.73, "word": " أخد", "probability": 0.8277994791666666}, {"start": 1732.73, "end": 1733.33, "word": " element", "probability": 0.974609375}, {"start": 1733.33, "end": 1733.93, "word": " هنا", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 73, "seek": 175003, "start": 1734.43, "end": 1750.03, "text": "و افترض ان هذا ال element ال order له يساوي 12 و ابحث عن ال orders المختلفة في هذه الحالة يبقى بداجي اقول له let ال a و ال b و ال c", "tokens": [2407, 1975, 5172, 2655, 43042, 16472, 23758, 2423, 4478, 2423, 1668, 46740, 7251, 3794, 995, 45865, 2272, 4032, 48127, 5016, 12984, 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"word": " له", "probability": 0.1356201171875}, {"start": 1738.29, "end": 1738.81, "word": " يساوي", "probability": 0.8978271484375}, {"start": 1738.81, "end": 1739.29, "word": " 12", "probability": 0.62451171875}, {"start": 1739.29, "end": 1739.85, "word": " و", "probability": 0.465576171875}, {"start": 1739.85, "end": 1740.43, "word": " ابحث", "probability": 0.8665364583333334}, {"start": 1740.43, "end": 1740.73, "word": " عن", "probability": 0.99560546875}, {"start": 1740.73, "end": 1740.93, "word": " ال", "probability": 0.927734375}, {"start": 1740.93, "end": 1741.71, "word": " orders", "probability": 0.80859375}, {"start": 1741.71, "end": 1743.01, "word": " المختلفة", "probability": 0.9862060546875}, {"start": 1743.01, "end": 1743.23, "word": " في", "probability": 0.93359375}, {"start": 1743.23, "end": 1743.71, "word": " هذه", "probability": 0.90087890625}, {"start": 1743.71, "end": 1744.63, "word": " الحالة", "probability": 0.9381510416666666}, {"start": 1744.63, "end": 1745.49, "word": " يبقى", "probability": 0.912109375}, {"start": 1745.49, "end": 1745.91, "word": " بداجي", "probability": 0.4921061197916667}, {"start": 1745.91, "end": 1746.17, "word": " اقول", "probability": 0.91796875}, {"start": 1746.17, "end": 1746.37, "word": " له", "probability": 0.52685546875}, {"start": 1746.37, "end": 1746.83, "word": " let", "probability": 0.412109375}, {"start": 1746.83, "end": 1748.03, "word": " ال", "probability": 0.82275390625}, {"start": 1748.03, "end": 1748.41, "word": " a", "probability": 0.63818359375}, {"start": 1748.41, "end": 1748.71, "word": " و", "probability": 0.50830078125}, {"start": 1748.71, "end": 1748.91, "word": " ال", "probability": 0.841796875}, {"start": 1748.91, "end": 1749.21, "word": " b", "probability": 0.9853515625}, {"start": 1749.21, "end": 1749.53, "word": " و", "probability": 0.982421875}, {"start": 1749.53, "end": 1749.73, "word": " ال", "probability": 0.94921875}, {"start": 1749.73, "end": 1750.03, "word": " c", "probability": 0.98828125}], "temperature": 1.0}, {"id": 74, "seek": 177951, "start": 1750.29, "end": 1779.51, "text": "والدى موجودة في z2 similar product مع z4 similar product مع z6 similar product مع z4 such that بحيث ان ال order لل a والb والc والd كله بده يساوي كده؟ بده يساوي ماشي", "tokens": [2407, 6027, 3215, 7578, 3714, 29245, 23328, 3660, 8978, 710, 17, 2531, 1674, 20449, 710, 19, 2531, 1674, 20449, 710, 21, 2531, 1674, 20449, 710, 19, 1270, 300, 4724, 5016, 1829, 12984, 16472, 2423, 1668, 24976, 257, 16070, 65, 16070, 66, 4032, 6027, 67, 28242, 3224, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 47525, 3224, 7251, 3794, 995, 45865, 3714, 33599, 1829], "avg_logprob": -0.27509468974489154, "compression_ratio": 1.5862068965517242, "no_speech_prob": 0.0, "words": [{"start": 1750.29, "end": 1751.47, "word": "والدى", "probability": 0.53509521484375}, {"start": 1751.47, "end": 1752.81, "word": " موجودة", "probability": 0.9747314453125}, {"start": 1752.81, "end": 1753.25, "word": " 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"probability": 0.99169921875}, {"start": 1764.59, "end": 1765.55, "word": " z4", "probability": 0.995849609375}, {"start": 1765.55, "end": 1766.57, "word": " such", "probability": 0.646484375}, {"start": 1766.57, "end": 1767.31, "word": " that", "probability": 0.9189453125}, {"start": 1767.31, "end": 1769.07, "word": " بحيث", "probability": 0.9862060546875}, {"start": 1769.07, "end": 1769.51, "word": " ان", "probability": 0.66943359375}, {"start": 1769.51, "end": 1770.29, "word": " ال", "probability": 0.75341796875}, {"start": 1770.29, "end": 1770.83, "word": " order", "probability": 0.953125}, {"start": 1770.83, "end": 1771.33, "word": " لل", "probability": 0.68994140625}, {"start": 1771.33, "end": 1771.63, "word": " a", "probability": 0.736328125}, {"start": 1771.63, "end": 1772.17, "word": " والb", "probability": 0.6845703125}, {"start": 1772.17, "end": 1772.79, "word": " والc", "probability": 0.97119140625}, {"start": 1772.79, "end": 1773.71, "word": " والd", "probability": 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"word": " الآن", "probability": 0.5107421875}, {"start": 1783.0, "end": 1783.22, "word": " لما", "probability": 0.78125}, {"start": 1783.22, "end": 1783.74, "word": " نقادي", "probability": 0.6932373046875}, {"start": 1783.74, "end": 1784.68, "word": " لزد", "probability": 0.7078857421875}, {"start": 1784.68, "end": 1785.02, "word": " اتنين", "probability": 0.9031982421875}, {"start": 1785.02, "end": 1785.26, "word": " زد", "probability": 0.91650390625}, {"start": 1785.26, "end": 1785.5, "word": " اتنين", "probability": 0.979736328125}, {"start": 1785.5, "end": 1785.8, "word": " كم", "probability": 0.44427490234375}, {"start": 1785.8, "end": 1786.16, "word": " عنصر", "probability": 0.9777018229166666}, {"start": 1786.16, "end": 1786.52, "word": " فيها", "probability": 0.75146484375}, {"start": 1786.52, "end": 1788.48, "word": " اتنين", "probability": 0.788818359375}, {"start": 1788.48, "end": 1788.92, "word": " يعني", "probability": 0.76611328125}, {"start": 1788.92, "end": 1789.06, 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هتدخل في الحساب عندنا يبقى we have two cases هي عندي حالتين الحالة الأولى ان ال order لل B بده يسوى الأربعة و ال order ل C يا إما تلاتة يا إما ستة", "tokens": [6027, 7649, 12174, 1211, 8315, 20666, 1863, 35457, 3660, 24976, 10721, 12610, 7578, 2423, 20292, 24525, 2304, 11296, 3866, 6055, 5016, 9381, 26895, 11331, 36520, 7251, 3555, 4587, 7578, 11778, 1829, 37893, 8032, 2655, 3215, 9778, 1211, 8978, 21542, 3794, 16758, 43242, 8315, 7251, 3555, 4587, 7578, 321, 362, 732, 3331, 39896, 18871, 16254, 11331, 6027, 2655, 9957, 21542, 6027, 3660, 16247, 12610, 7578, 16472, 2423, 1668, 24976, 363, 47525, 3224, 7251, 3794, 2407, 7578, 16247, 25513, 27884, 4032, 2423, 1668, 5296, 383, 35186, 11933, 15042, 6055, 1211, 9307, 3660, 35186, 11933, 15042, 8608, 2655, 3660], "avg_logprob": -0.23518040745528704, "compression_ratio": 1.6634615384615385, "no_speech_prob": 0.0, "words": [{"start": 2053.77, "end": 2054.43, "word": "الان", "probability": 0.72705078125}, {"start": 2054.43, "end": 2055.03, "word": " قلنا", "probability": 0.6650390625}, {"start": 2055.03, "end": 2055.63, "word": " بالنسبة", "probability": 0.96826171875}, {"start": 2055.63, "end": 2056.35, "word": " للأولى", "probability": 0.896728515625}, {"start": 2056.35, "end": 2056.79, "word": " اللي", "probability": 0.4769287109375}, {"start": 2056.79, "end": 2057.15, "word": " ا��مها", "probability": 0.5608723958333334}, {"start": 2057.15, "end": 2057.43, "word": " multiple", "probability": 0.4072265625}, {"start": 2057.43, "end": 2058.01, "word": " تحصيل", "probability": 0.9447021484375}, {"start": 2058.01, "end": 2058.29, "word": " حصل", "probability": 0.631591796875}, {"start": 2058.29, "end": 2058.47, "word": " يبقى", "probability": 0.903564453125}, {"start": 2058.47, "end": 2058.65, "word": " دي", "probability": 0.6048583984375}, {"start": 2058.65, "end": 2058.85, "word": " مش", "probability": 0.97314453125}, {"start": 2058.85, "end": 2059.57, "word": " هتدخل", "probability": 0.9873046875}, {"start": 2059.57, "end": 2059.73, "word": " في", "probability": 0.8916015625}, {"start": 2059.73, "end": 2060.29, "word": " الحساب", "probability": 0.8430989583333334}, {"start": 2060.29, "end": 2060.87, "word": " عندنا", "probability": 0.933349609375}, {"start": 2060.87, "end": 2061.89, "word": " يبقى", "probability": 0.9705810546875}, {"start": 2061.89, "end": 2062.19, "word": " we", "probability": 0.451171875}, {"start": 2062.19, "end": 2064.21, "word": " have", "probability": 0.93896484375}, {"start": 2064.21, "end": 2065.71, "word": " two", "probability": 0.900390625}, {"start": 2065.71, "end": 2070.05, "word": " cases", "probability": 0.80712890625}, {"start": 2070.05, "end": 2070.63, "word": " هي", "probability": 0.25634765625}, {"start": 2070.63, "end": 2071.09, "word": " عندي", "probability": 0.8828125}, {"start": 2071.09, "end": 2071.89, "word": " حالتين", "probability": 0.9818115234375}, {"start": 2071.89, "end": 2073.07, "word": " الحالة", "probability": 0.95361328125}, {"start": 2073.07, "end": 2073.59, "word": " الأولى", "probability": 0.9814453125}, {"start": 2073.59, "end": 2073.91, "word": " ان", "probability": 0.509765625}, {"start": 2073.91, "end": 2074.13, "word": " ال", "probability": 0.87353515625}, {"start": 2074.13, "end": 2074.55, "word": " order", "probability": 0.96484375}, {"start": 2074.55, "end": 2074.97, "word": " لل", "probability": 0.72509765625}, {"start": 2074.97, "end": 2075.31, "word": " B", "probability": 0.281982421875}, {"start": 2075.31, "end": 2075.91, "word": " بده", "probability": 0.50048828125}, {"start": 2075.91, "end": 2076.25, "word": " يسوى", "probability": 0.7923583984375}, {"start": 2076.25, "end": 2076.89, "word": " الأربعة", "probability": 0.8929036458333334}, {"start": 2076.89, "end": 2077.43, "word": " و", "probability": 0.50146484375}, {"start": 2077.43, "end": 2077.59, "word": " ال", "probability": 0.82421875}, {"start": 2077.59, "end": 2078.03, "word": " order", "probability": 0.97216796875}, {"start": 2078.03, "end": 2078.49, "word": " ل", "probability": 0.630859375}, {"start": 2078.49, "end": 2078.71, "word": " C", "probability": 0.66064453125}, {"start": 2078.71, "end": 2079.07, "word": " يا", "probability": 0.513671875}, {"start": 2079.07, "end": 2079.35, "word": " إما", "probability": 0.73486328125}, {"start": 2079.35, "end": 2080.21, "word": " تلاتة", "probability": 0.9476318359375}, {"start": 2080.21, "end": 2080.69, "word": " يا", "probability": 0.859375}, {"start": 2080.69, "end": 2081.15, "word": " إما", "probability": 0.9658203125}, {"start": 2081.15, "end": 2081.79, "word": " ستة", "probability": 0.9886067708333334}], "temperature": 1.0}, {"id": 89, "seek": 210405, "start": 2082.31, "end": 2104.05, "text": "يبقى تلاتة واربعة الـ least common multiple يبقى 12 الستة والاربعة ال least common multiple يبقى 12 يبقى هدول يجيبولي ال element ال order يسوى كم؟ ال 12 طب أكم انصر في زيد أربعة ال order يسوى أربعة؟ بس", "tokens": [1829, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 4032, 9640, 3555, 27884, 2423, 39184, 1935, 2689, 3866, 7251, 3555, 4587, 7578, 2272, 2423, 14851, 3660, 16070, 9640, 3555, 27884, 2423, 1935, 2689, 3866, 7251, 3555, 4587, 7578, 2272, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 7251, 7435, 1829, 3555, 12610, 1829, 2423, 4478, 2423, 1668, 7251, 3794, 2407, 7578, 9122, 2304, 22807, 2423, 2272, 23032, 3555, 5551, 24793, 16472, 9381, 2288, 8978, 30767, 25708, 5551, 25513, 27884, 2423, 1668, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 22807, 4724, 3794], "avg_logprob": -0.4500000105963813, "compression_ratio": 1.81437125748503, "no_speech_prob": 0.0, "words": [{"start": 2082.31, "end": 2082.89, "word": "يبقى", "probability": 0.77093505859375}, {"start": 2082.89, "end": 2083.57, "word": " تلاتة", "probability": 0.8045654296875}, {"start": 2083.57, "end": 2084.23, "word": " واربعة", "probability": 0.7137451171875}, {"start": 2084.23, "end": 2084.41, "word": " الـ", "probability": 0.217437744140625}, {"start": 2084.41, "end": 2084.59, "word": " least", "probability": 0.180908203125}, {"start": 2084.59, "end": 2084.87, "word": " common", "probability": 0.947265625}, {"start": 2084.87, "end": 2085.35, "word": " multiple", "probability": 0.95654296875}, {"start": 2085.35, "end": 2085.59, "word": " يبقى", "probability": 0.68634033203125}, {"start": 2085.59, "end": 2085.97, "word": " 12", "probability": 0.202392578125}, {"start": 2085.97, "end": 2087.23, "word": " الستة", "probability": 0.4868977864583333}, {"start": 2087.23, "end": 2087.73, "word": " والاربعة", "probability": 0.84136962890625}, {"start": 2087.73, "end": 2087.87, "word": " ال", "probability": 0.9248046875}, {"start": 2087.87, "end": 2088.07, "word": " least", "probability": 0.548828125}, {"start": 2088.07, "end": 2088.33, "word": " common", "probability": 0.93359375}, {"start": 2088.33, "end": 2088.73, "word": " multiple", "probability": 0.87890625}, {"start": 2088.73, "end": 2089.03, "word": " يبقى", "probability": 0.900634765625}, {"start": 2089.03, "end": 2089.51, "word": " 12", "probability": 0.791015625}, {"start": 2089.51, "end": 2089.87, "word": " يبقى", "probability": 0.81134033203125}, {"start": 2089.87, "end": 2090.35, "word": " هدول", "probability": 0.6090494791666666}, {"start": 2090.35, "end": 2090.99, "word": " يجيبولي", "probability": 0.7001953125}, {"start": 2090.99, "end": 2091.07, "word": " ال", "probability": 0.927734375}, {"start": 2091.07, "end": 2091.49, "word": " element", "probability": 0.69970703125}, {"start": 2091.49, "end": 2092.05, "word": " ال", "probability": 0.54443359375}, {"start": 2092.05, "end": 2092.55, "word": " order", "probability": 0.8037109375}, {"start": 2092.55, "end": 2093.29, "word": " يسوى", "probability": 0.629638671875}, {"start": 2093.29, "end": 2093.99, "word": " كم؟", "probability": 0.42919921875}, {"start": 2093.99, "end": 2094.19, "word": " ال", "probability": 0.37158203125}, {"start": 2094.19, "end": 2094.57, "word": " 12", "probability": 0.7529296875}, {"start": 2094.57, "end": 2095.55, "word": " طب", "probability": 0.530029296875}, {"start": 2095.55, "end": 2096.17, "word": " أكم", "probability": 0.755859375}, {"start": 2096.17, "end": 2097.17, "word": " انصر", "probability": 0.7589518229166666}, {"start": 2097.17, "end": 2097.65, "word": " في", "probability": 0.92236328125}, {"start": 2097.65, "end": 2098.15, "word": " زيد", "probability": 0.640869140625}, {"start": 2098.15, "end": 2098.75, "word": " أربعة", "probability": 0.7537434895833334}, {"start": 2098.75, "end": 2098.93, "word": " ال", "probability": 0.8544921875}, {"start": 2098.93, "end": 2099.37, "word": " order", "probability": 0.955078125}, {"start": 2099.37, "end": 2100.19, "word": " يسوى", "probability": 0.883544921875}, {"start": 2100.19, "end": 2102.87, "word": " أربعة؟", "probability": 0.6549072265625}, {"start": 2102.87, "end": 2104.05, "word": " بس", "probability": 0.600830078125}], "temperature": 1.0}, {"id": 90, "seek": 213485, "start": 2105.61, "end": 2134.85, "text": "أتنين هو الواحد والتلاتة الواحد والتلاتة في زد أربعة ال order يساوي مين؟ الاربعة يمجى بيه هنا يا بدها تساوي واحد يا بدها تساوي تلاتة طيب سي هنا بدها تساوي ال order له تلاتة او ال order له ستة اظن الواحد ال order له ستة طب و اتنين طب و الأربعة", "tokens": [10721, 2655, 1863, 9957, 31439, 2423, 14407, 24401, 16070, 2655, 1211, 9307, 3660, 2423, 14407, 24401, 16070, 2655, 1211, 9307, 3660, 8978, 30767, 3215, 5551, 25513, 27884, 2423, 1668, 7251, 3794, 995, 45865, 3714, 9957, 22807, 2423, 9640, 3555, 27884, 7251, 2304, 7435, 7578, 4724, 1829, 3224, 34105, 35186, 47525, 11296, 6055, 3794, 995, 45865, 36764, 24401, 35186, 47525, 11296, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 23032, 1829, 3555, 8608, 1829, 34105, 47525, 11296, 6055, 3794, 995, 45865, 2423, 1668, 46740, 6055, 1211, 9307, 3660, 1975, 2407, 2423, 1668, 46740, 8608, 2655, 3660, 1975, 19913, 1863, 2423, 14407, 24401, 2423, 1668, 46740, 8608, 2655, 3660, 23032, 3555, 4032, 1975, 2655, 1863, 9957, 23032, 3555, 4032, 16247, 25513, 27884], 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2118.01, "word": " بدها", "probability": 0.93896484375}, {"start": 2118.01, "end": 2118.49, "word": " تساوي", "probability": 0.9869384765625}, {"start": 2118.49, "end": 2119.31, "word": " تلاتة", "probability": 0.9298095703125}, {"start": 2119.31, "end": 2120.27, "word": " طيب", "probability": 0.8592122395833334}, {"start": 2120.27, "end": 2120.89, "word": " سي", "probability": 0.72900390625}, {"start": 2120.89, "end": 2121.43, "word": " هنا", "probability": 0.90234375}, {"start": 2121.43, "end": 2122.17, "word": " بدها", "probability": 0.9306640625}, {"start": 2122.17, "end": 2123.55, "word": " تساوي", "probability": 0.9815673828125}, {"start": 2123.55, "end": 2123.85, "word": " ال", "probability": 0.9794921875}, {"start": 2123.85, "end": 2124.27, "word": " order", "probability": 0.97900390625}, {"start": 2124.27, "end": 2124.69, "word": " له", "probability": 0.31787109375}, {"start": 2124.69, "end": 2125.69, "word": " تلاتة", "probability": 0.9688720703125}, {"start": 2125.69, "end": 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"word": " الواحد", "probability": 0.8564453125}, {"start": 2320.35, "end": 2320.59, "word": " كان", "probability": 0.9755859375}, {"start": 2320.59, "end": 2320.91, "word": " الاتنين", "probability": 0.7982177734375}, {"start": 2320.91, "end": 2321.13, "word": " كان", "probability": 0.97021484375}, {"start": 2321.13, "end": 2321.63, "word": " التلاتة", "probability": 0.9007568359375}, {"start": 2321.63, "end": 2322.11, "word": " لن", "probability": 0.976806640625}, {"start": 2322.11, "end": 2322.57, "word": " يغير", "probability": 0.9853515625}, {"start": 2322.57, "end": 2322.73, "word": " في", "probability": 0.8984375}, {"start": 2322.73, "end": 2323.25, "word": " النتيجة", "probability": 0.961181640625}, {"start": 2323.25, "end": 2323.69, "word": " شيئا", "probability": 0.88623046875}, {"start": 2323.69, "end": 2324.35, "word": " وكوان", "probability": 0.566162109375}, {"start": 2324.35, "end": 2324.51, "word": " انت", "probability": 0.8896484375}, {"start": 2324.51, "end": 2325.05, "word": " بتكتب", "probability": 0.98193359375}, {"start": 2325.05, "end": 2325.65, "word": " element", "probability": 0.9619140625}, {"start": 2325.65, "end": 2326.25, "word": " مكون", "probability": 0.78955078125}, {"start": 2326.25, "end": 2326.49, "word": " من", "probability": 0.99462890625}, {"start": 2326.49, "end": 2327.09, "word": " اربع", "probability": 0.8483072916666666}, {"start": 2327.09, "end": 2328.07, "word": " مركبات", "probability": 0.9200439453125}], "temperature": 1.0}, {"id": 99, "seek": 234869, "start": 2328.11, "end": 2348.69, "text": "يعني عندك بدائل اتنين لل A وبدائل اتنين لل B لأن ال order يسوى اربعة وعندك اربع بدائل لل C واربع بدائل لل D صحيح ولا لا؟ يبقى على بعضهم كله مصيره جداش اربعة وستين عنصر هذا هي الحالة الأولى الحالة التانية", "tokens": [40228, 22653, 43242, 4117, 47525, 16373, 1211, 1975, 2655, 1863, 9957, 24976, 316, 4032, 44510, 16373, 1211, 1975, 2655, 1863, 9957, 24976, 363, 5296, 33456, 2423, 1668, 7251, 3794, 2407, 7578, 1975, 25513, 27884, 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2337.27, "word": " بدائل", "probability": 0.9811197916666666}, {"start": 2337.27, "end": 2337.51, "word": " لل", "probability": 0.82861328125}, {"start": 2337.51, "end": 2337.73, "word": " C", "probability": 0.94140625}, {"start": 2337.73, "end": 2338.27, "word": " واربع", "probability": 0.967529296875}, {"start": 2338.27, "end": 2338.77, "word": " بدائل", "probability": 0.9913736979166666}, {"start": 2338.77, "end": 2338.97, "word": " لل", "probability": 0.94140625}, {"start": 2338.97, "end": 2339.19, "word": " D", "probability": 0.919921875}, {"start": 2339.19, "end": 2340.03, "word": " صحيح", "probability": 0.9656982421875}, {"start": 2340.03, "end": 2340.17, "word": " ولا", "probability": 0.9443359375}, {"start": 2340.17, "end": 2340.73, "word": " لا؟", "probability": 0.6025390625}, {"start": 2340.73, "end": 2340.95, "word": " يبقى", "probability": 0.844970703125}, {"start": 2340.95, "end": 2341.13, "word": " على", "probability": 0.7861328125}, {"start": 2341.13, "end": 2341.57, "word": " بعضهم", "probability": 0.9874674479166666}, {"start": 2341.57, "end": 2341.85, "word": " كله", "probability": 0.7255859375}, {"start": 2341.85, "end": 2342.19, "word": " مصيره", "probability": 0.75823974609375}, {"start": 2342.19, "end": 2342.67, "word": " جداش", "probability": 0.8040364583333334}, {"start": 2342.67, "end": 2343.21, "word": " اربعة", "probability": 0.654296875}, {"start": 2343.21, "end": 2343.91, "word": " وستين", "probability": 0.90966796875}, {"start": 2343.91, "end": 2344.41, "word": " عنصر", "probability": 0.9630533854166666}, {"start": 2344.41, "end": 2344.85, "word": " هذا", "probability": 0.5849609375}, {"start": 2344.85, "end": 2345.73, "word": " هي", "probability": 0.833984375}, {"start": 2345.73, "end": 2346.91, "word": " الحالة", "probability": 0.9894205729166666}, {"start": 2346.91, "end": 2347.65, "word": " الأولى", "probability": 0.91357421875}, {"start": 2347.65, "end": 2348.27, "word": " الحالة", "probability": 0.9612630208333334}, {"start": 2348.27, "end": 2348.69, "word": " التانية", "probability": 0.9739583333333334}], "temperature": 1.0}, {"id": 100, "seek": 237673, "start": 2349.29, "end": 2376.73, "text": "ال order اللى دى ممكن يكون اربعة and ال order لسه يا اما تلاتة يا اما ستة يبقى في هذه الحالة لما ال order اللى دى بدى يساوي اربعة اكم element بيعطينا اتنين مظبوط", "tokens": [6027, 1668, 13672, 7578, 11778, 7578, 3714, 43020, 7251, 30544, 1975, 25513, 27884, 293, 2423, 1668, 5296, 3794, 3224, 35186, 1975, 15042, 6055, 1211, 9307, 3660, 35186, 1975, 15042, 8608, 2655, 3660, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 5296, 15042, 2423, 1668, 13672, 7578, 11778, 7578, 47525, 7578, 7251, 3794, 995, 45865, 1975, 25513, 27884, 1975, 24793, 4478, 4724, 40228, 9566, 1829, 8315, 1975, 2655, 1863, 9957, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.26665295621282176, "compression_ratio": 1.6708860759493671, "no_speech_prob": 0.0, "words": [{"start": 2349.29, "end": 2349.59, "word": "ال", "probability": 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0.84375}, {"start": 2356.45, "end": 2357.17, "word": " تلاتة", "probability": 0.89599609375}, {"start": 2357.17, "end": 2357.41, "word": " يا", "probability": 0.82421875}, {"start": 2357.41, "end": 2357.73, "word": " اما", "probability": 0.938232421875}, {"start": 2357.73, "end": 2359.71, "word": " ستة", "probability": 0.9835611979166666}, {"start": 2359.71, "end": 2366.91, "word": " يبقى", "probability": 0.85491943359375}, {"start": 2366.91, "end": 2367.17, "word": " في", "probability": 0.8974609375}, {"start": 2367.17, "end": 2367.53, "word": " هذه", "probability": 0.94384765625}, {"start": 2367.53, "end": 2368.13, "word": " الحالة", "probability": 0.9728190104166666}, {"start": 2368.13, "end": 2368.69, "word": " لما", "probability": 0.875732421875}, {"start": 2368.69, "end": 2368.85, "word": " ال", "probability": 0.9814453125}, {"start": 2368.85, "end": 2369.23, "word": " order", "probability": 0.98095703125}, {"start": 2369.23, "end": 2369.59, "word": " اللى", "probability": 0.98095703125}, {"start": 2369.59, "end": 2369.99, "word": " دى", "probability": 0.90869140625}, {"start": 2369.99, "end": 2370.47, "word": " بدى", "probability": 0.5521240234375}, {"start": 2370.47, "end": 2370.93, "word": " يساوي", "probability": 0.73016357421875}, {"start": 2370.93, "end": 2371.65, "word": " اربعة", "probability": 0.8839518229166666}, {"start": 2371.65, "end": 2372.09, "word": " اكم", "probability": 0.5706787109375}, {"start": 2372.09, "end": 2372.55, "word": " element", "probability": 0.83544921875}, {"start": 2372.55, "end": 2373.25, "word": " بيعطينا", "probability": 0.8412109375}, {"start": 2373.25, "end": 2375.65, "word": " اتنين", "probability": 0.85205078125}, {"start": 2375.65, "end": 2376.73, "word": " مظبوط", "probability": 0.83759765625}], "temperature": 1.0}, {"id": 101, "seek": 240323, "start": 2376.98, "end": 2403.24, "text": "يبقى هنا في عندي اتنين elements طيب لما يكون هنا في عندي جداش؟ جداش؟ اربع elements طيب نيجي لل a جداش؟ اربع elements اتنين elements نيجي لل b جداش عندي؟ اتنين elements", "tokens": [1829, 3555, 4587, 7578, 34105, 8978, 18871, 16254, 1975, 2655, 1863, 9957, 4959, 23032, 1829, 3555, 5296, 15042, 7251, 30544, 34105, 8978, 18871, 16254, 10874, 3215, 33599, 22807, 10874, 3215, 33599, 22807, 1975, 25513, 3615, 4959, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 24976, 257, 10874, 3215, 33599, 22807, 1975, 25513, 3615, 4959, 1975, 2655, 1863, 9957, 4959, 8717, 1829, 7435, 1829, 24976, 272, 10874, 3215, 33599, 18871, 16254, 22807, 1975, 2655, 1863, 9957, 4959], "avg_logprob": -0.15995065240483536, "compression_ratio": 2.139344262295082, "no_speech_prob": 0.0, "words": [{"start": 2376.98, "end": 2377.56, "word": "يبقى", "probability": 0.8616943359375}, {"start": 2377.56, "end": 2377.9, "word": " هنا", "probability": 0.908203125}, {"start": 2377.9, "end": 2378.14, "word": " في", "probability": 0.2373046875}, {"start": 2378.14, "end": 2378.6, "word": " عندي", "probability": 0.785888671875}, {"start": 2378.6, "end": 2379.5, "word": " اتنين", "probability": 0.9288330078125}, {"start": 2379.5, "end": 2380.12, "word": " elements", "probability": 0.83740234375}, {"start": 2380.12, "end": 2382.38, "word": " طيب", "probability": 0.9280598958333334}, {"start": 2382.38, "end": 2382.96, "word": " لما", "probability": 0.87255859375}, {"start": 2382.96, "end": 2383.32, "word": " يكون", "probability": 0.98681640625}, {"start": 2383.32, "end": 2383.62, "word": " هنا", "probability": 0.9736328125}, {"start": 2383.62, "end": 2383.78, "word": " في", "probability": 0.818359375}, {"start": 2383.78, "end": 2384.0, "word": " عندي", "probability": 0.9658203125}, {"start": 2384.0, "end": 2386.08, "word": " جداش؟", "probability": 0.626708984375}, {"start": 2386.08, "end": 2387.36, "word": " جداش؟", "probability": 0.8846435546875}, {"start": 2387.36, "end": 2388.1, "word": " اربع", "probability": 0.6691080729166666}, {"start": 2388.1, "end": 2388.74, "word": " elements", "probability": 0.9248046875}, {"start": 2388.74, "end": 2392.44, "word": " طيب", "probability": 0.9749348958333334}, {"start": 2392.44, "end": 2392.78, "word": " نيجي", "probability": 0.904541015625}, {"start": 2392.78, "end": 2393.02, "word": " لل", "probability": 0.8447265625}, {"start": 2393.02, "end": 2393.38, "word": " a", "probability": 0.57666015625}, {"start": 2393.38, "end": 2395.16, "word": " جداش؟", "probability": 0.92919921875}, {"start": 2395.16, "end": 2395.6, "word": " اربع", "probability": 0.8704427083333334}, {"start": 2395.6, "end": 2395.96, "word": " elements", "probability": 0.5693359375}, {"start": 2395.96, "end": 2396.84, "word": " اتنين", "probability": 0.9188232421875}, {"start": 2396.84, "end": 2397.6, "word": " elements", "probability": 0.92822265625}, {"start": 2397.6, "end": 2399.2, "word": " نيجي", "probability": 0.9852294921875}, {"start": 2399.2, "end": 2399.42, "word": " لل", "probability": 0.916015625}, {"start": 2399.42, "end": 2399.82, "word": " b", "probability": 0.8623046875}, {"start": 2399.82, "end": 2400.58, "word": " جداش", "probability": 0.9480794270833334}, {"start": 2400.58, "end": 2401.28, "word": " عندي؟", "probability": 0.931640625}, {"start": 2401.28, "end": 2402.58, "word": " اتنين", "probability": 0.989990234375}, {"start": 2402.58, "end": 2403.24, "word": " elements", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 102, "seek": 242980, "start": 2405.8, "end": 2429.8, "text": "يبقى صغر الآن اتنين اخدناها اربعة مع الخطوة اللي قبلها اه اخدناها اربعة مع الخطوة اللي قبلها لاش نكررها لان التكرار هذا بجيب شغلات اكتر من اللازم يبقى so we have العنصر الأولاني اتنين والتاني اربعة واللي بعده اتنين واللي بعده اتنين", "tokens": [1829, 3555, 4587, 7578, 20328, 17082, 2288, 6024, 48506, 1975, 2655, 1863, 9957, 1975, 9778, 3215, 8315, 11296, 1975, 25513, 27884, 20449, 33962, 9566, 2407, 3660, 13672, 1829, 12174, 36150, 11296, 1975, 3224, 1975, 9778, 3215, 8315, 11296, 1975, 25513, 27884, 20449, 33962, 9566, 2407, 3660, 13672, 1829, 12174, 36150, 11296, 5296, 33599, 8717, 37983, 2288, 11296, 5296, 7649, 16712, 37983, 9640, 23758, 4724, 7435, 1829, 3555, 13412, 17082, 1211, 9307, 1975, 4117, 2655, 2288, 9154, 13672, 31377, 2304, 7251, 3555, 4587, 7578, 370, 321, 362, 18863, 1863, 9381, 2288, 16247, 12610, 7649, 1829, 1975, 2655, 1863, 9957, 16070, 2655, 7649, 1829, 1975, 25513, 27884, 16070, 20292, 39182, 3224, 1975, 2655, 1863, 9957, 16070, 20292, 39182, 3224, 1975, 2655, 1863, 9957], "avg_logprob": -0.18685962491836705, "compression_ratio": 2.2085561497326203, "no_speech_prob": 0.0, "words": [{"start": 2405.8, "end": 2406.4, "word": "يبقى", "probability": 0.8660888671875}, {"start": 2406.4, "end": 2406.82, "word": " صغر", "probability": 0.5589599609375}, {"start": 2406.82, "end": 2407.42, "word": " الآن", "probability": 0.6217041015625}, {"start": 2407.42, "end": 2408.68, "word": " اتنين", "probability": 0.883056640625}, {"start": 2408.68, "end": 2412.76, "word": " اخدناها", "probability": 0.711767578125}, {"start": 2412.76, "end": 2413.12, "word": " اربعة", "probability": 0.7057291666666666}, {"start": 2413.12, "end": 2413.26, "word": " مع", "probability": 0.59521484375}, {"start": 2413.26, "end": 2413.62, "word": " الخطوة", "probability": 0.95166015625}, {"start": 2413.62, "end": 2413.76, "word": " اللي", "probability": 0.828369140625}, {"start": 2413.76, "end": 2414.86, "word": " قبلها", "probability": 0.9000651041666666}, {"start": 2414.86, "end": 2415.46, "word": " اه", "probability": 0.3890380859375}, {"start": 2415.46, "end": 2415.88, "word": " اخدناها", "probability": 0.94013671875}, {"start": 2415.88, "end": 2416.08, "word": " اربعة", "probability": 0.9108072916666666}, {"start": 2416.08, "end": 2416.24, "word": " مع", "probability": 0.89990234375}, {"start": 2416.24, "end": 2416.46, "word": " الخطوة", "probability": 0.9774169921875}, {"start": 2416.46, "end": 2416.56, "word": " اللي", "probability": 0.9755859375}, {"start": 2416.56, "end": 2416.68, "word": " قبلها", "probability": 0.9803059895833334}, {"start": 2416.68, "end": 2416.88, "word": " لاش", "probability": 0.26348876953125}, {"start": 2416.88, "end": 2417.46, "word": " نكررها", "probability": 0.8739013671875}, {"start": 2417.46, "end": 2417.72, "word": " لان", "probability": 0.6602783203125}, {"start": 2417.72, "end": 2418.46, "word": " التكرار", "probability": 0.8587239583333334}, {"start": 2418.46, "end": 2418.9, "word": " هذا", "probability": 0.93212890625}, {"start": 2418.9, "end": 2419.58, "word": " بجيب", "probability": 0.9505615234375}, {"start": 2419.58, "end": 2420.02, "word": " شغلات", "probability": 0.880615234375}, {"start": 2420.02, "end": 2420.38, "word": " اكتر", "probability": 0.9630126953125}, {"start": 2420.38, "end": 2420.54, "word": " من", "probability": 0.97119140625}, {"start": 2420.54, "end": 2420.94, "word": " اللازم", "probability": 0.96435546875}, {"start": 2420.94, "end": 2422.2, "word": " يبقى", "probability": 0.9788818359375}, {"start": 2422.2, "end": 2422.44, "word": " so", "probability": 0.255615234375}, {"start": 2422.44, "end": 2422.78, "word": " we", "probability": 0.95849609375}, {"start": 2422.78, "end": 2423.46, "word": " have", "probability": 0.96728515625}, {"start": 2423.46, "end": 2424.3, "word": " العنصر", "probability": 0.966552734375}, {"start": 2424.3, "end": 2425.02, "word": " الأولاني", "probability": 0.8746337890625}, {"start": 2425.02, "end": 2425.48, "word": " اتنين", "probability": 0.9783935546875}, {"start": 2425.48, "end": 2426.52, "word": " والتاني", "probability": 0.900634765625}, {"start": 2426.52, "end": 2427.1, "word": " اربعة", "probability": 0.8819986979166666}, {"start": 2427.1, "end": 2427.52, "word": " واللي", "probability": 0.71875}, {"start": 2427.52, "end": 2427.88, "word": " بعده", "probability": 0.94677734375}, {"start": 2427.88, "end": 2428.4, "word": " اتنين", "probability": 0.99169921875}, {"start": 2428.4, "end": 2428.94, "word": " واللي", "probability": 0.893310546875}, {"start": 2428.94, "end": 2429.34, "word": " بعده", "probability": 0.961181640625}, {"start": 2429.34, "end": 2429.8, "word": " اتنين", "probability": 0.991943359375}], "temperature": 1.0}, {"id": 103, "seek": 244321, "start": 2430.27, "end": 2443.21, "text": "يبقى تمانية في أربعة بجداش بتنين و تلاتين element of order اللي هو أتناشر طب إذا على بعضهم جداش", "tokens": [1829, 3555, 4587, 7578, 46811, 7649, 10632, 8978, 5551, 25513, 27884, 4724, 7435, 3215, 33599, 39894, 1863, 9957, 4032, 6055, 1211, 9307, 9957, 4478, 295, 1668, 13672, 1829, 31439, 5551, 2655, 1863, 33599, 2288, 23032, 3555, 11933, 15730, 15844, 45030, 11242, 16095, 10874, 3215, 33599], "avg_logprob": -0.27055028340090875, "compression_ratio": 1.264, "no_speech_prob": 0.0, "words": [{"start": 2430.27, "end": 2430.89, "word": "يبقى", "probability": 0.8447265625}, {"start": 2430.89, "end": 2431.41, "word": " تمانية", "probability": 0.8600260416666666}, {"start": 2431.41, "end": 2431.57, "word": " في", "probability": 0.64013671875}, {"start": 2431.57, "end": 2431.97, "word": " أربعة", "probability": 0.78515625}, {"start": 2431.97, "end": 2432.61, "word": " بجداش", "probability": 0.720703125}, {"start": 2432.61, "end": 2433.21, "word": " بتنين", "probability": 0.7950032552083334}, {"start": 2433.21, "end": 2433.37, "word": " و", "probability": 0.472900390625}, {"start": 2433.37, "end": 2434.51, "word": " تلاتين", "probability": 0.95458984375}, {"start": 2434.51, "end": 2435.35, "word": " element", "probability": 0.7080078125}, {"start": 2435.35, "end": 2436.43, "word": " of", "probability": 0.9736328125}, {"start": 2436.43, "end": 2437.77, "word": " order", "probability": 0.95703125}, {"start": 2437.77, "end": 2438.95, "word": " اللي", "probability": 0.77734375}, {"start": 2438.95, "end": 2439.27, "word": " هو", "probability": 0.96728515625}, {"start": 2439.27, "end": 2440.61, "word": " أتناشر", "probability": 0.68720703125}, {"start": 2440.61, "end": 2441.17, "word": " طب", "probability": 0.76025390625}, {"start": 2441.17, "end": 2441.41, "word": " إذا", "probability": 0.83447265625}, {"start": 2441.41, "end": 2441.65, "word": " على", "probability": 0.385498046875}, {"start": 2441.65, "end": 2442.23, "word": " بعضهم", "probability": 0.8670247395833334}, {"start": 2442.23, "end": 2443.21, "word": " جداش", "probability": 0.9806315104166666}], "temperature": 1.0}, {"id": 104, "seek": 246801, "start": 2445.41, "end": 2468.01, "text": "يو سبعمية وعشرين has اللي هو قداش في الأول اربعة وستين زائد اتنين وتلاتين ويساوي ستة وتسعين element of order اللي هو اتناشر", "tokens": [1829, 2407, 8608, 3555, 25957, 10632, 4032, 3615, 46309, 9957, 575, 13672, 1829, 31439, 12174, 3215, 33599, 8978, 16247, 12610, 1975, 25513, 27884, 4032, 14851, 9957, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 4032, 2655, 1211, 9307, 9957, 4032, 1829, 3794, 995, 45865, 8608, 2655, 3660, 34683, 3794, 3615, 9957, 4478, 295, 1668, 13672, 1829, 31439, 1975, 2655, 1863, 33599, 2288], "avg_logprob": -0.17578125120170654, "compression_ratio": 1.4475524475524475, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2445.41, "end": 2446.07, "word": "يو", "probability": 0.32940673828125}, {"start": 2446.07, "end": 2446.95, "word": " سبعمية", "probability": 0.893310546875}, {"start": 2446.95, "end": 2447.95, "word": " وعشرين", "probability": 0.88623046875}, {"start": 2447.95, "end": 2449.41, "word": " has", "probability": 0.3212890625}, {"start": 2449.41, "end": 2450.37, "word": " اللي", "probability": 0.80908203125}, {"start": 2450.37, "end": 2450.53, "word": " هو", "probability": 0.97314453125}, {"start": 2450.53, "end": 2450.93, "word": " قداش", "probability": 0.6315104166666666}, {"start": 2450.93, "end": 2451.05, "word": " في", "probability": 0.85986328125}, {"start": 2451.05, "end": 2451.53, "word": " الأول", "probability": 0.94921875}, {"start": 2451.53, "end": 2452.27, "word": " اربعة", "probability": 0.7310384114583334}, {"start": 2452.27, "end": 2453.33, "word": " وستين", "probability": 0.953125}, {"start": 2453.33, "end": 2454.47, "word": " زائد", "probability": 0.94873046875}, {"start": 2454.47, "end": 2455.01, "word": " اتنين", "probability": 0.96923828125}, {"start": 2455.01, "end": 2456.21, "word": " وتلاتين", "probability": 0.90498046875}, {"start": 2456.21, "end": 2457.43, "word": " ويساوي", "probability": 0.93359375}, {"start": 2457.43, "end": 2458.19, "word": " ستة", "probability": 0.9737955729166666}, {"start": 2458.19, "end": 2459.25, "word": " وتسعين", "probability": 0.9398193359375}, {"start": 2459.25, "end": 2460.33, "word": " element", "probability": 0.8271484375}, {"start": 2460.33, "end": 2462.55, "word": " of", "probability": 0.970703125}, {"start": 2462.55, "end": 2464.31, "word": " order", "probability": 0.96142578125}, {"start": 2464.31, "end": 2466.59, "word": " اللي", "probability": 0.88623046875}, {"start": 2466.59, "end": 2467.05, "word": " هو", "probability": 0.978515625}, {"start": 2467.05, "end": 2468.01, "word": " اتناشر", "probability": 0.86708984375}], "temperature": 1.0}, {"id": 105, "seek": 249787, "start": 2477.69, "end": 2497.87, "text": "يبقى بناء عليها من الآن فصاعدا لو قاللي شوف لقداش عدد العناصر اللي ال order لهم يساوية رقم معين في UN ال UN ال N مينما كانت تكون بدي احولها الى مين؟ بدي احولها الى ال cyclic groups", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 25894, 11296, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995, 45164, 50239, 20292, 13412, 38688, 5296, 28543, 33599, 6225, 3215, 3215, 18863, 1863, 33546, 2288, 13672, 1829, 2423, 1668, 5296, 16095, 7251, 3794, 995, 2407, 10632, 12602, 4587, 2304, 20449, 9957, 8978, 8229, 2423, 8229, 2423, 426, 3714, 9957, 15042, 25961, 2655, 6055, 30544, 4724, 16254, 1975, 5016, 12610, 11296, 2423, 7578, 3714, 9957, 22807, 4724, 16254, 1975, 5016, 12610, 11296, 2423, 7578, 2423, 38154, 1050, 3935], "avg_logprob": -0.2764136840899785, "compression_ratio": 1.6358695652173914, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2477.69, "end": 2478.11, "word": "يبقى", "probability": 0.79541015625}, {"start": 2478.11, 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"end": 2485.33, "word": " ال", "probability": 0.6767578125}, {"start": 2485.33, "end": 2485.75, "word": " order", "probability": 0.9541015625}, {"start": 2485.75, "end": 2486.33, "word": " لهم", "probability": 0.735107421875}, {"start": 2486.33, "end": 2486.97, "word": " يساوية", "probability": 0.739013671875}, {"start": 2486.97, "end": 2487.57, "word": " رقم", "probability": 0.9918619791666666}, {"start": 2487.57, "end": 2488.27, "word": " معين", "probability": 0.988525390625}, {"start": 2488.27, "end": 2489.05, "word": " في", "probability": 0.908203125}, {"start": 2489.05, "end": 2490.11, "word": " UN", "probability": 0.81103515625}, {"start": 2490.11, "end": 2491.03, "word": " ال", "probability": 0.44384765625}, {"start": 2491.03, "end": 2491.03, "word": " UN", "probability": 0.57958984375}, {"start": 2491.03, "end": 2491.21, "word": " ال", "probability": 0.61181640625}, {"start": 2491.21, "end": 2491.37, "word": " N", "probability": 0.162353515625}, {"start": 2491.37, "end": 2491.81, "word": " مينما", "probability": 0.7548014322916666}, {"start": 2491.81, "end": 2492.17, "word": " كانت", "probability": 0.955810546875}, {"start": 2492.17, "end": 2492.65, "word": " تكون", "probability": 0.977783203125}, {"start": 2492.65, "end": 2493.33, "word": " بدي", "probability": 0.439453125}, {"start": 2493.33, "end": 2493.83, "word": " احولها", "probability": 0.8187255859375}, {"start": 2493.83, "end": 2494.17, "word": " الى", "probability": 0.694580078125}, {"start": 2494.17, "end": 2494.77, "word": " مين؟", "probability": 0.615234375}, {"start": 2494.77, "end": 2495.03, "word": " بدي", "probability": 0.93359375}, {"start": 2495.03, "end": 2495.81, "word": " احولها", "probability": 0.9591064453125}, {"start": 2495.81, "end": 2496.53, "word": " الى", "probability": 0.91015625}, {"start": 2496.53, "end": 2496.71, "word": " ال", "probability": 0.3935546875}, {"start": 2496.71, "end": 2497.43, "word": " cyclic", "probability": 0.6392822265625}, {"start": 2497.43, "end": 2497.87, "word": " groups", "probability": 0.61279296875}], "temperature": 1.0}, {"id": 106, "seek": 251850, "start": 2498.22, "end": 2518.5, "text": "مدالة z2 و z3 و z4 و z5 و z6 و بيبقوا أحسب من مين من هذه ال z اللي هو هذه العناصر على هيك بيكون انتهى ال section طيب في عندك سؤال زي سؤال تلاتة بيقول ما يأتي سؤال تلاتة", "tokens": [2304, 3215, 6027, 3660, 710, 17, 4032, 710, 18, 4032, 710, 19, 4032, 710, 20, 4032, 710, 21, 4032, 4724, 1829, 3555, 4587, 14407, 5551, 5016, 35457, 9154, 3714, 9957, 9154, 29538, 2423, 710, 13672, 1829, 31439, 29538, 18863, 1863, 33546, 2288, 15844, 39896, 4117, 4724, 1829, 30544, 16472, 47395, 7578, 2423, 3541, 23032, 1829, 3555, 8978, 43242, 4117, 8608, 33604, 6027, 30767, 1829, 8608, 33604, 6027, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 8608, 33604, 6027, 6055, 1211, 9307, 3660], "avg_logprob": -0.20439680579096772, "compression_ratio": 1.6257309941520468, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2498.22, 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of H بده يساوي ال external direct product لل E تبع ال G", "tokens": [1211, 2407, 10874, 36081, 5551, 9778, 3215, 2655, 47525, 1211, 8978, 5551, 9778, 3215, 2655, 50113, 15040, 13672, 1829, 31439, 2423, 479, 9154, 2423, 389, 30731, 2423, 6575, 4478, 6055, 3555, 3615, 2423, 460, 2108, 2423, 389, 538, 2423, 479, 295, 389, 47525, 3224, 7251, 3794, 995, 45865, 2423, 8320, 2047, 1674, 24976, 462, 6055, 3555, 3615, 2423, 460], "avg_logprob": -0.2311197889347871, "compression_ratio": 1.4203821656050954, "no_speech_prob": 0.0, "words": [{"start": 2624.53, "end": 2624.97, "word": "لو", "probability": 0.83935546875}, {"start": 2624.97, "end": 2625.31, "word": " جيت", "probability": 0.911376953125}, {"start": 2625.31, "end": 2625.89, "word": " أخدت", "probability": 0.82275390625}, {"start": 2625.89, "end": 2626.35, "word": " بدل", "probability": 0.952880859375}, {"start": 2626.35, "end": 2626.89, "word": " في", "probability": 0.212890625}, {"start": 2626.89, "end": 2627.79, "word": " أخدت", 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{"start": 2635.71, "end": 2636.27, "word": " تبع", "probability": 0.9456380208333334}, {"start": 2636.27, "end": 2636.61, "word": " ال", "probability": 0.392578125}, {"start": 2636.61, "end": 2637.03, "word": " G", "probability": 0.8408203125}, {"start": 2637.03, "end": 2638.73, "word": " across", "probability": 0.564453125}, {"start": 2638.73, "end": 2639.17, "word": " ال", "probability": 0.98193359375}, {"start": 2639.17, "end": 2639.69, "word": " H", "probability": 0.95703125}, {"start": 2639.69, "end": 2640.27, "word": " by", "probability": 0.57421875}, {"start": 2640.27, "end": 2641.29, "word": " ال", "probability": 0.88232421875}, {"start": 2641.29, "end": 2641.81, "word": " F", "probability": 0.93896484375}, {"start": 2641.81, "end": 2642.19, "word": " of", "probability": 0.953125}, {"start": 2642.19, "end": 2642.69, "word": " H", "probability": 0.9677734375}, {"start": 2642.69, "end": 2643.41, "word": " بده", "probability": 0.499755859375}, {"start": 2643.41, "end": 2643.87, "word": " يساوي", "probability": 0.848876953125}, {"start": 2643.87, "end": 2644.47, "word": " ال", "probability": 0.548828125}, {"start": 2644.47, "end": 2644.87, "word": " external", "probability": 0.86376953125}, {"start": 2644.87, "end": 2645.21, "word": " direct", "probability": 0.49951171875}, {"start": 2645.21, "end": 2646.01, "word": " product", "probability": 0.9765625}, {"start": 2646.01, "end": 2649.03, "word": " لل", "probability": 0.5849609375}, {"start": 2649.03, "end": 2649.51, "word": " E", "probability": 0.896484375}, {"start": 2649.51, "end": 2650.05, "word": " تبع", "probability": 0.9861653645833334}, {"start": 2650.05, "end": 2650.39, "word": " ال", "probability": 0.755859375}, {"start": 2650.39, "end": 2650.81, "word": " G", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 113, "seek": 267248, "start": 2652.02, "end": 2672.48, "text": "للـ A تابع الـ G و H بالشكل اللي عندنا هنا او بلاش هون هذا ايه جوز وهذا ايه جي و H جوز مباشرة يبقى بدنا نثبت من هذا طبعا إذا أثبتنا الأول بصير التاني حرفيا زيه", "tokens": [1211, 1211, 39184, 316, 6055, 16758, 3615, 2423, 39184, 460, 4032, 389, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 1975, 2407, 4724, 1211, 33599, 8032, 11536, 23758, 1975, 1829, 3224, 10874, 2407, 11622, 37037, 15730, 1975, 1829, 3224, 10874, 1829, 4032, 389, 10874, 2407, 11622, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 12984, 3555, 2655, 9154, 23758, 23032, 3555, 3615, 995, 11933, 15730, 5551, 12984, 3555, 2655, 8315, 16247, 12610, 4724, 9381, 13546, 16712, 7649, 1829, 11331, 28480, 25528, 30767, 1829, 3224], "avg_logprob": -0.34037642350251024, "compression_ratio": 1.748427672955975, "no_speech_prob": 0.0, "words": [{"start": 2652.02, "end": 2652.54, "word": "للـ", "probability": 0.3560384114583333}, {"start": 2652.54, "end": 2652.72, "word": " A", "probability": 0.296875}, {"start": 2652.72, "end": 2653.32, "word": " تابع", "probability": 0.78076171875}, {"start": 2653.32, "end": 2653.7, "word": " الـ", "probability": 0.740234375}, {"start": 2653.7, "end": 2654.06, "word": " G", "probability": 0.7001953125}, {"start": 2654.06, "end": 2654.5, "word": " و", "probability": 0.81005859375}, {"start": 2654.5, "end": 2655.18, "word": " H", "probability": 0.3671875}, {"start": 2655.18, "end": 2656.22, "word": " بالشكل", "probability": 0.8640950520833334}, {"start": 2656.22, "end": 2656.4, "word": " اللي", "probability": 0.88330078125}, {"start": 2656.4, "end": 2656.92, "word": " عندنا", "probability": 0.768310546875}, {"start": 2656.92, "end": 2657.88, "word": " هنا", "probability": 0.8232421875}, {"start": 2657.88, "end": 2658.9, "word": " او", "probability": 0.3851318359375}, {"start": 2658.9, "end": 2659.24, "word": " بلاش", "probability": 0.6896158854166666}, {"start": 2659.24, "end": 2660.3, "word": " هون", "probability": 0.5806884765625}, {"start": 2660.3, "end": 2660.9, "word": " هذا", "probability": 0.72412109375}, {"start": 2660.9, "end": 2661.48, "word": " ايه", "probability": 0.5270182291666666}, {"start": 2661.48, "end": 2662.14, "word": " جوز", "probability": 0.4314982096354167}, {"start": 2662.14, "end": 2663.42, "word": " وهذا", "probability": 0.834716796875}, {"start": 2663.42, "end": 2664.04, "word": " ايه", "probability": 0.82958984375}, {"start": 2664.04, "end": 2664.22, "word": " جي", "probability": 0.822998046875}, {"start": 2664.22, "end": 2664.36, "word": " و", "probability": 0.442138671875}, {"start": 2664.36, "end": 2664.62, "word": " H", "probability": 0.46484375}, {"start": 2664.62, "end": 2665.02, "word": " جوز", "probability": 0.9650065104166666}, {"start": 2665.02, "end": 2665.76, "word": " مباشرة", "probability": 0.9910888671875}, {"start": 2665.76, "end": 2666.88, "word": " يبقى", "probability": 0.961669921875}, {"start": 2666.88, "end": 2667.18, "word": " بدنا", "probability": 0.4581298828125}, {"start": 2667.18, "end": 2667.52, "word": " نثبت", "probability": 0.9892578125}, {"start": 2667.52, "end": 2667.84, "word": " من", "probability": 0.91162109375}, {"start": 2667.84, "end": 2668.22, "word": " هذا", "probability": 0.2498779296875}, {"start": 2668.22, "end": 2668.6, "word": " طبعا", "probability": 0.8939208984375}, {"start": 2668.6, "end": 2668.78, "word": " إذا", "probability": 0.673095703125}, {"start": 2668.78, "end": 2669.2, "word": " أثبتنا", "probability": 0.91064453125}, {"start": 2669.2, "end": 2669.54, "word": " الأول", "probability": 0.9736328125}, {"start": 2669.54, "end": 2669.94, "word": " بصير", "probability": 0.7809244791666666}, {"start": 2669.94, "end": 2670.6, "word": " التاني", "probability": 0.8414713541666666}, {"start": 2670.6, "end": 2671.88, "word": " حرفيا", "probability": 0.9871419270833334}, {"start": 2671.88, "end": 2672.48, "word": " زيه", "probability": 0.9845377604166666}], "temperature": 1.0}, {"id": 114, "seek": 270005, "start": 2673.17, "end": 2700.05, "text": "طيب لو جيت له الأولى يبقى بدي اثبت له ان الـ Phi is one to one يبقى بدي اقول له assume افترض ان Phi of G1 بدي ساوي Phi of G2 هذا معناته ان الـ G1 و ال identity تبع ال H بدي ساوي G2 و ال identity تبع ال H", "tokens": [9566, 1829, 3555, 45164, 10874, 36081, 46740, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 12984, 3555, 2655, 46740, 16472, 2423, 39184, 41435, 307, 472, 281, 472, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 39648, 46740, 6552, 1975, 5172, 2655, 43042, 16472, 41435, 295, 460, 16, 4724, 16254, 8608, 995, 45865, 41435, 295, 460, 17, 23758, 20449, 8315, 47395, 16472, 2423, 39184, 460, 16, 4032, 2423, 6575, 6055, 3555, 3615, 2423, 389, 4724, 16254, 8608, 995, 45865, 460, 17, 4032, 2423, 6575, 6055, 3555, 3615, 2423, 389], "avg_logprob": -0.24253472702370749, "compression_ratio": 1.7705882352941176, "no_speech_prob": 0.0, "words": [{"start": 2673.17, "end": 2673.51, "word": "طيب", "probability": 0.693359375}, {"start": 2673.51, "end": 2673.75, "word": " لو", "probability": 0.9375}, {"start": 2673.75, "end": 2674.05, "word": " جيت", "probability": 0.88916015625}, 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{"start": 2679.73, "end": 2680.05, "word": " one", "probability": 0.95458984375}, {"start": 2680.05, "end": 2680.95, "word": " يبقى", "probability": 0.9627685546875}, {"start": 2680.95, "end": 2681.17, "word": " بدي", "probability": 0.868408203125}, {"start": 2681.17, "end": 2681.59, "word": " اقول", "probability": 0.579345703125}, {"start": 2681.59, "end": 2681.83, "word": " له", "probability": 0.63525390625}, {"start": 2681.83, "end": 2682.61, "word": " assume", "probability": 0.56982421875}, {"start": 2682.61, "end": 2683.69, "word": " افترض", "probability": 0.9091796875}, {"start": 2683.69, "end": 2684.41, "word": " ان", "probability": 0.9052734375}, {"start": 2684.41, "end": 2684.95, "word": " Phi", "probability": 0.7724609375}, {"start": 2684.95, "end": 2685.35, "word": " of", "probability": 0.92333984375}, {"start": 2685.35, "end": 2686.01, "word": " G1", "probability": 0.91015625}, {"start": 2686.01, "end": 2686.69, "word": " بدي", "probability": 0.31353759765625}, {"start": 2686.69, "end": 2687.23, "word": " ساوي", "probability": 0.7109375}, {"start": 2687.23, "end": 2687.87, "word": " Phi", "probability": 0.92041015625}, {"start": 2687.87, "end": 2688.75, "word": " of", "probability": 0.970703125}, {"start": 2688.75, "end": 2689.41, "word": " G2", "probability": 0.997314453125}, {"start": 2689.41, "end": 2690.31, "word": " هذا", "probability": 0.79931640625}, {"start": 2690.31, "end": 2690.99, "word": " معناته", "probability": 0.97802734375}, {"start": 2690.99, "end": 2691.27, "word": " ان", "probability": 0.8984375}, {"start": 2691.27, "end": 2691.65, "word": " الـ", "probability": 0.751220703125}, {"start": 2691.65, "end": 2692.25, "word": " G1", "probability": 0.901123046875}, {"start": 2692.25, "end": 2692.85, "word": " و", "probability": 0.6611328125}, {"start": 2692.85, "end": 2692.97, "word": " ال", "probability": 0.892578125}, {"start": 2692.97, "end": 2693.73, "word": " identity", "probability": 0.81689453125}, {"start": 2693.73, "end": 2694.27, "word": " تبع", "probability": 0.91796875}, {"start": 2694.27, "end": 2694.49, "word": " ال", "probability": 0.978515625}, {"start": 2694.49, "end": 2694.83, "word": " H", "probability": 0.67333984375}, {"start": 2694.83, "end": 2695.51, "word": " بدي", "probability": 0.88818359375}, {"start": 2695.51, "end": 2696.05, "word": " ساوي", "probability": 0.94970703125}, {"start": 2696.05, "end": 2696.89, "word": " G2", "probability": 0.98193359375}, {"start": 2696.89, "end": 2697.53, "word": " و", "probability": 0.90234375}, {"start": 2697.53, "end": 2697.71, "word": " ال", "probability": 0.9482421875}, {"start": 2697.71, "end": 2698.67, "word": " identity", "probability": 0.888671875}, {"start": 2698.67, "end": 2699.47, "word": " تبع", "probability": 0.9820963541666666}, {"start": 2699.47, "end": 2699.77, "word": " ال", "probability": 0.9619140625}, {"start": 2699.77, "end": 2700.05, "word": " H", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 115, "seek": 272416, "start": 2701.26, "end": 2724.16, "text": "طبعا two order pair are equal يبقى المراكبة الأولى سواء المراكبة الأولى أو المراكبة الثانية سواء مين المراكبة الثانية يبقى G1 سواء G2 وهذا الـEH هو نفسه الـEH أظن و هو المطلوب الآن مداجي أثبت له أن فاي is onto", "tokens": [9566, 3555, 3615, 995, 732, 1668, 6119, 366, 2681, 7251, 3555, 4587, 7578, 9673, 23557, 4117, 49401, 16247, 12610, 7578, 8608, 2407, 16606, 9673, 23557, 4117, 49401, 16247, 12610, 7578, 34051, 9673, 23557, 4117, 49401, 6024, 104, 7649, 10632, 8608, 2407, 16606, 3714, 9957, 9673, 23557, 4117, 49401, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 460, 16, 8608, 2407, 16606, 460, 17, 37037, 15730, 2423, 39184, 36, 39, 31439, 8717, 36178, 3224, 2423, 39184, 36, 39, 5551, 19913, 1863, 4032, 31439, 9673, 9566, 1211, 37746, 6024, 48506, 3714, 3215, 26108, 1829, 5551, 12984, 3555, 2655, 46740, 14739, 6156, 47302, 307, 3911], "avg_logprob": -0.3501213586446151, "compression_ratio": 1.8548387096774193, "no_speech_prob": 0.0, "words": [{"start": 2701.26, "end": 2701.82, "word": "طبعا", "probability": 0.80267333984375}, {"start": 2701.82, "end": 2702.54, "word": " two", "probability": 0.2305908203125}, {"start": 2702.54, "end": 2703.06, "word": " order", "probability": 0.40576171875}, {"start": 2703.06, "end": 2703.46, "word": " pair", "probability": 0.53076171875}, {"start": 2703.46, "end": 2703.78, "word": " are", "probability": 0.662109375}, {"start": 2703.78, "end": 2704.2, "word": " equal", "probability": 0.77880859375}, {"start": 2704.2, "end": 2705.14, "word": " يبقى", "probability": 0.9219970703125}, {"start": 2705.14, "end": 2705.68, "word": " المراكبة", "probability": 0.78302001953125}, {"start": 2705.68, "end": 2705.88, "word": " الأولى", "probability": 0.923828125}, {"start": 2705.88, "end": 2706.26, "word": " سواء", "probability": 0.4231363932291667}, {"start": 2706.26, "end": 2706.78, "word": " المراكبة", "probability": 0.8905029296875}, {"start": 2706.78, "end": 2707.16, "word": " الأولى", "probability": 0.962890625}, {"start": 2707.16, "end": 2707.22, "word": " أو", "probability": 0.33984375}, {"start": 2707.22, "end": 2707.76, "word": " المراكبة", "probability": 0.96337890625}, {"start": 2707.76, "end": 2708.08, "word": " الثانية", "probability": 0.911865234375}, {"start": 2708.08, "end": 2708.66, "word": " سواء", "probability": 0.87548828125}, {"start": 2708.66, "end": 2709.0, "word": " مين", "probability": 0.427978515625}, {"start": 2709.0, "end": 2710.36, "word": " المراكبة", "probability": 0.96875}, {"start": 2710.36, "end": 2711.04, "word": " الثانية", "probability": 0.9515380859375}, {"start": 2711.04, "end": 2711.88, "word": " يبقى", "probability": 0.9404296875}, {"start": 2711.88, "end": 2712.54, "word": " G1", "probability": 0.5655517578125}, {"start": 2712.54, "end": 2713.66, "word": " سواء", "probability": 0.6451441446940104}, {"start": 2713.66, "end": 2714.06, "word": " G2", "probability": 0.940185546875}, {"start": 2714.06, "end": 2714.42, "word": " وهذا", 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"probability": 0.73095703125}, {"start": 2721.8, "end": 2722.06, "word": " أن", "probability": 0.55517578125}, {"start": 2722.06, "end": 2723.08, "word": " فاي", "probability": 0.449951171875}, {"start": 2723.08, "end": 2723.64, "word": " is", "probability": 0.6943359375}, {"start": 2723.64, "end": 2724.16, "word": " onto", "probability": 0.57861328125}], "temperature": 1.0}, {"id": 116, "seek": 274575, "start": 2725.19, "end": 2745.75, "text": "يبقى بالدرجة اقوله افترض ان ال X موجود في ال G external product مع ال identity تبع ال H ثم شكل ال X هذا بده يساوي element من G و ال identity element تبع ال H", "tokens": [1829, 3555, 4587, 7578, 20666, 3215, 47341, 3660, 1975, 39648, 3224, 1975, 5172, 2655, 43042, 16472, 2423, 1783, 3714, 29245, 23328, 8978, 2423, 460, 8320, 1674, 20449, 2423, 6575, 6055, 3555, 3615, 2423, 389, 38637, 2304, 13412, 28820, 2423, 1783, 23758, 47525, 3224, 7251, 3794, 995, 45865, 4478, 9154, 460, 4032, 2423, 6575, 4478, 6055, 3555, 3615, 2423, 389], "avg_logprob": 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لو جيت قلت جي واحد مع ال E H وهنا جي اتنين مع ا�� E H لو ضربت ضرب component wise يبقى بيصير جي ون جي تون وال E H في ال E H هي بال E H itself", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 47525, 3224, 1975, 5016, 995, 12610, 1975, 4117, 2655, 3555, 23758, 15844, 20328, 1829, 17082, 3660, 11331, 33546, 1211, 48812, 25513, 12174, 41779, 9957, 1975, 15730, 45164, 10874, 36081, 12174, 1211, 2655, 10874, 1829, 36764, 24401, 20449, 2423, 462, 389, 37037, 8315, 10874, 1829, 1975, 2655, 1863, 9957, 20449, 2423, 462, 389, 45164, 48812, 25513, 2655, 48812, 25513, 6542, 10829, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 10874, 1829, 4032, 1863, 10874, 1829, 6055, 11536, 16070, 462, 389, 8978, 2423, 462, 389, 39896, 20666, 462, 389, 2564], "avg_logprob": -0.22437500238418578, "compression_ratio": 1.6989795918367347, "no_speech_prob": 0.0, "words": [{"start": 2790.65, "end": 2790.99, "word": "هذا", "probability": 0.922119140625}, {"start": 2790.99, "end": 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