PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/3SF3yRg1VtE_raw.json

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122.64, "end": 122.92, "word": " بده", "probability": 0.87158203125}, {"start": 122.92, "end": 123.28, "word": " اجيب", "probability": 0.89013671875}, {"start": 123.28, "end": 123.68, "word": " ال", "probability": 0.96337890625}, {"start": 123.68, "end": 124.22, "word": " order", "probability": 0.97705078125}, {"start": 124.22, "end": 124.74, "word": " لل", "probability": 0.91796875}, {"start": 124.74, "end": 125.3, "word": " G", "probability": 0.9345703125}, {"start": 125.3, "end": 126.22, "word": " with", "probability": 0.227783203125}, {"start": 126.22, "end": 128.14, "word": " H", "probability": 0.79296875}, {"start": 128.14, "end": 129.58, "word": " يبقى", "probability": 0.92529296875}, {"start": 129.58, "end": 129.88, "word": " then", "probability": 0.81396484375}], "temperature": 1.0}, {"id": 5, "seek": 14730, "start": 130.22, "end": 147.3, "text": "الأردر للـ G External Hierarchical Product مع H كده يسوى هذا يا شباب مكتوب معاكم من المرة اللي فاتت الأردر للأولى في الأردر لثانية يبقى هذا الكلام يسوى ال M في N", "tokens": [6027, 10721, 2288, 3215, 2288, 24976, 39184, 460, 48277, 10886, 1178, 804, 22005, 20449, 389, 9122, 3215, 3224, 7251, 3794, 2407, 7578, 23758, 35186, 13412, 3555, 16758, 3714, 4117, 2655, 37746, 20449, 995, 24793, 9154, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 16247, 2288, 3215, 2288, 24976, 10721, 12610, 7578, 8978, 16247, 2288, 3215, 2288, 5296, 12984, 7649, 10632, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 2407, 7578, 2423, 376, 8978, 426], "avg_logprob": -0.3552631720116264, "compression_ratio": 1.4689265536723164, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 130.22, "end": 131.18, "word": "الأردر", "probability": 0.50654296875}, {"start": 131.18, "end": 131.64, "word": " للـ", "probability": 0.5228271484375}, {"start": 131.64, "end": 131.82, "word": " G", "probability": 0.6240234375}, {"start": 131.82, "end": 132.48, "word": " External", "probability": 0.07861328125}, {"start": 132.48, "end": 133.14, "word": " Hierarchical", "probability": 0.67578125}, {"start": 133.14, "end": 133.7, "word": " Product", "probability": 0.91943359375}, {"start": 133.7, "end": 134.46, "word": " مع", "probability": 0.84619140625}, {"start": 134.46, "end": 134.98, "word": " H", "probability": 0.845703125}, {"start": 134.98, "end": 135.82, "word": " كده", "probability": 0.5470377604166666}, {"start": 135.82, "end": 136.38, "word": " يسوى", "probability": 0.447021484375}, {"start": 136.38, "end": 136.6, "word": " هذا", "probability": 0.685546875}, {"start": 136.6, "end": 136.72, "word": " يا", "probability": 0.54931640625}, {"start": 136.72, "end": 137.12, "word": " شباب", "probability": 0.9778645833333334}, {"start": 137.12, "end": 138.08, "word": " مكتوب", "probability": 0.81488037109375}, {"start": 138.08, "end": 138.46, "word": " معاكم", "probability": 0.9060872395833334}, {"start": 138.46, "end": 138.62, "word": " من", "probability": 0.85400390625}, {"start": 138.62, "end": 138.9, "word": " المرة", "probability": 0.968505859375}, {"start": 138.9, "end": 139.08, "word": " اللي", "probability": 0.7763671875}, {"start": 139.08, "end": 139.48, "word": " فاتت", "probability": 0.9718424479166666}, {"start": 139.48, "end": 140.04, "word": " الأردر", "probability": 0.84027099609375}, {"start": 140.04, "end": 140.58, "word": " للأولى", "probability": 0.8812255859375}, {"start": 140.58, "end": 140.66, "word": " في", "probability": 0.837890625}, {"start": 140.66, "end": 141.4, "word": " الأردر", "probability": 0.8526611328125}, {"start": 141.4, "end": 142.8, "word": " لثانية", "probability": 0.8194580078125}, {"start": 142.8, "end": 143.68, "word": " يبقى", "probability": 0.966552734375}, {"start": 143.68, "end": 144.0, "word": " هذا", "probability": 0.94287109375}, {"start": 144.0, "end": 144.72, "word": " الكلام", "probability": 0.9597981770833334}, {"start": 144.72, "end": 145.8, "word": " يسوى", "probability": 0.68878173828125}, {"start": 145.8, "end": 145.94, "word": " ال", "probability": 0.4638671875}, {"start": 145.94, "end": 146.4, "word": " M", "probability": 0.58935546875}, {"start": 146.4, "end": 146.8, "word": " في", "probability": 0.8466796875}, {"start": 146.8, "end": 147.3, "word": " N", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 6, "seek": 16950, "start": 148.48, "end": 169.5, "text": "هذه المعلومة حطيتها قبل المبدأ و الأن بدي أبدأ لإيش حطيتها؟ لأن كل شغل بالحب هو لازمانه الأن بدنا نقول Assume that الـG external product مع الـH is cyclic", "tokens": [3224, 24192, 9673, 30241, 20498, 3660, 11331, 9566, 36081, 11296, 12174, 36150, 9673, 44510, 10721, 4032, 16247, 1863, 4724, 16254, 5551, 44510, 10721, 5296, 28814, 1829, 8592, 11331, 9566, 36081, 11296, 22807, 5296, 33456, 28242, 13412, 17082, 1211, 20666, 5016, 3555, 31439, 5296, 31377, 2304, 7649, 3224, 16247, 1863, 47525, 8315, 8717, 39648, 6281, 2540, 300, 2423, 39184, 38, 8320, 1674, 20449, 2423, 39184, 39, 307, 38154, 1050], "avg_logprob": -0.4454257125439851, "compression_ratio": 1.416184971098266, "no_speech_prob": 0.0, "words": [{"start": 148.48, "end": 148.88, "word": "هذه", "probability": 0.861328125}, {"start": 148.88, "end": 149.54, "word": " المعلومة", "probability": 0.933349609375}, {"start": 149.54, "end": 150.4, "word": " حطيتها", "probability": 0.65399169921875}, {"start": 150.4, "end": 151.32, "word": " قبل", "probability": 0.845947265625}, {"start": 151.32, "end": 151.84, "word": " المبدأ", "probability": 0.8460286458333334}, {"start": 151.84, "end": 151.94, "word": " و", "probability": 0.48828125}, {"start": 151.94, "end": 152.26, "word": " الأن", "probability": 0.6295166015625}, {"start": 152.26, "end": 152.6, "word": " بدي", "probability": 0.5699462890625}, {"start": 152.6, "end": 153.02, "word": " أبدأ", "probability": 0.8828125}, {"start": 153.02, "end": 153.76, "word": " لإيش", "probability": 0.528778076171875}, {"start": 153.76, "end": 154.42, "word": " حطيتها؟", "probability": 0.8587890625}, {"start": 154.42, "end": 154.74, "word": " لأن", "probability": 0.850341796875}, {"start": 154.74, "end": 155.32, "word": " كل", "probability": 0.92822265625}, {"start": 155.32, "end": 155.7, "word": " شغل", "probability": 0.6770833333333334}, {"start": 155.7, "end": 156.2, "word": " بالحب", "probability": 0.89306640625}, {"start": 156.2, "end": 156.38, "word": " هو", "probability": 0.564453125}, {"start": 156.38, "end": 157.2, "word": " لازمانه", "probability": 0.7029296875}, {"start": 157.2, "end": 158.08, "word": " الأن", "probability": 0.639892578125}, {"start": 158.08, "end": 158.36, "word": " بدنا", "probability": 0.490966796875}, {"start": 158.36, "end": 158.9, "word": " نقول", "probability": 0.799072265625}, {"start": 158.9, "end": 160.36, "word": " Assume", "probability": 0.5762939453125}, {"start": 160.36, "end": 162.94, "word": " that", "probability": 0.65380859375}, {"start": 162.94, "end": 164.78, "word": " الـG", "probability": 0.433349609375}, {"start": 164.78, "end": 165.68, "word": " external", "probability": 0.2744140625}, {"start": 165.68, "end": 166.12, "word": " product", "probability": 0.26025390625}, {"start": 166.12, "end": 166.98, "word": " مع", "probability": 0.348388671875}, {"start": 166.98, "end": 167.44, "word": " الـH", "probability": 0.8069661458333334}, {"start": 167.44, "end": 168.4, "word": " is", "probability": 0.479248046875}, {"start": 168.4, "end": 169.5, "word": " cyclic", "probability": 0.827392578125}], "temperature": 1.0}, {"id": 7, "seek": 19460, "start": 171.08, "end": 194.6, "text": "ماذا أريد أن أثبت؟ أن الـ order اللي جي و ال order اللي اتش اتنين are relatively prime يعني أريد أن أثبت أن ال Euclides common divisor ما بين الاتنين سيكون كم؟ سيكون واحد، صحيح طب افترضنا هذه Cyclic مدام الـ Cyclic يبقى لها generator صح ولا لا؟ يبقى Cyclic assume", "tokens": [2304, 45636, 995, 5551, 16572, 3215, 14739, 5551, 12984, 3555, 2655, 22807, 14739, 2423, 39184, 1668, 13672, 1829, 10874, 1829, 4032, 2423, 1668, 13672, 1829, 1975, 2655, 8592, 1975, 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"probability": 0.51708984375}, {"start": 177.04, "end": 177.68, "word": " prime", "probability": 0.92333984375}, {"start": 177.68, "end": 178.56, "word": " يعني", "probability": 0.846435546875}, {"start": 178.56, "end": 178.78, "word": " أريد", "probability": 0.8741861979166666}, {"start": 178.78, "end": 178.92, "word": " أن", "probability": 0.7314453125}, {"start": 178.92, "end": 179.18, "word": " أثبت", "probability": 0.9859619140625}, {"start": 179.18, "end": 179.3, "word": " أن", "probability": 0.55859375}, {"start": 179.3, "end": 179.4, "word": " ال", "probability": 0.454833984375}, {"start": 179.4, "end": 179.76, "word": " Euclides", "probability": 0.41764068603515625}, {"start": 179.76, "end": 180.24, "word": " common", "probability": 0.391845703125}, {"start": 180.24, "end": 181.1, "word": " divisor", "probability": 0.96923828125}, {"start": 181.1, "end": 181.3, "word": " ما", "probability": 0.70703125}, {"start": 181.3, "end": 181.52, "word": " بين", "probability": 0.99560546875}, {"start": 181.52, "end": 181.88, "word": " الاتنين", "probability": 0.788330078125}, {"start": 181.88, "end": 182.32, "word": " سيكون", "probability": 0.5819498697916666}, {"start": 182.32, "end": 183.04, "word": " كم؟", "probability": 0.5193684895833334}, {"start": 183.04, "end": 183.72, "word": " سيكون", "probability": 0.9375}, {"start": 183.72, "end": 184.14, "word": " واحد،", "probability": 0.745849609375}, {"start": 184.14, "end": 184.52, "word": " صحيح", "probability": 0.979248046875}, {"start": 184.52, "end": 185.12, "word": " طب", "probability": 0.835205078125}, {"start": 185.12, "end": 185.68, "word": " افترضنا", "probability": 0.94521484375}, {"start": 185.68, "end": 185.92, "word": " هذه", "probability": 0.5205078125}, {"start": 185.92, "end": 186.56, "word": " Cyclic", "probability": 0.7068684895833334}, {"start": 186.56, "end": 187.08, "word": " مدام", "probability": 0.619140625}, {"start": 187.08, "end": 187.54, "word": " الـ", "probability": 0.5419921875}, {"start": 187.54, "end": 187.82, "word": " Cyclic", "probability": 0.837890625}, {"start": 187.82, "end": 188.14, "word": " يبقى", "probability": 0.955322265625}, {"start": 188.14, "end": 188.34, "word": " لها", "probability": 0.7264404296875}, {"start": 188.34, "end": 188.92, "word": " generator", "probability": 0.85595703125}, {"start": 188.92, "end": 189.86, "word": " صح", "probability": 0.91259765625}, {"start": 189.86, "end": 190.04, "word": " ولا", "probability": 0.9580078125}, {"start": 190.04, "end": 190.82, "word": " لا؟", "probability": 0.76025390625}, {"start": 190.82, "end": 191.66, "word": " يبقى", "probability": 0.95068359375}, {"start": 191.66, "end": 192.72, "word": " Cyclic", "probability": 0.9002278645833334}, {"start": 192.72, "end": 194.6, "word": " assume", "probability": 0.521484375}], "temperature": 1.0}, {"id": 8, "seek": 21387, "start": 195.77, "end": 213.87, "text": "أفترض كذلك إن الـ G والـ H is a generator is a generator for اللي هو external product للـ H مع G", "tokens": [10721, 5172, 2655, 43042, 9122, 8848, 23275, 36145, 2423, 39184, 460, 16070, 39184, 389, 307, 257, 19265, 307, 257, 19265, 337, 13672, 1829, 31439, 8320, 1674, 24976, 39184, 389, 20449, 460], "avg_logprob": -0.33496093563735485, "compression_ratio": 1.179245283018868, "no_speech_prob": 0.0, "words": [{"start": 195.77, "end": 196.57, "word": "أفترض", "probability": 0.8126220703125}, {"start": 196.57, "end": 197.29, "word": " كذلك", "probability": 0.9685872395833334}, {"start": 197.29, "end": 198.01, "word": " إن", "probability": 0.299072265625}, {"start": 198.01, "end": 198.33, "word": " الـ", "probability": 0.862548828125}, {"start": 198.33, "end": 198.59, "word": " G", "probability": 0.453369140625}, {"start": 198.59, "end": 199.65, "word": " والـ", "probability": 0.67724609375}, {"start": 199.65, "end": 200.01, "word": " H", "probability": 0.81005859375}, {"start": 200.01, "end": 201.15, "word": " is", "probability": 0.402587890625}, {"start": 201.15, "end": 202.39, "word": " a", "probability": 0.86083984375}, {"start": 202.39, "end": 203.07, "word": " generator", "probability": 0.95361328125}, {"start": 203.07, "end": 204.41, "word": " is", "probability": 0.37109375}, {"start": 204.41, "end": 205.37, "word": " a", "probability": 0.9326171875}, {"start": 205.37, "end": 206.93, "word": " generator", "probability": 0.962890625}, {"start": 206.93, "end": 208.63, "word": " for", "probability": 0.9609375}, {"start": 208.63, "end": 209.45, "word": " اللي", "probability": 0.890380859375}, {"start": 209.45, "end": 209.75, "word": " هو", "probability": 0.99169921875}, {"start": 209.75, "end": 210.91, "word": " external", "probability": 0.1826171875}, {"start": 210.91, "end": 211.79, "word": " product", "probability": 0.6240234375}, {"start": 211.79, "end": 212.91, "word": " للـ", "probability": 0.72607421875}, {"start": 212.91, "end": 213.21, "word": " H", "probability": 0.70361328125}, {"start": 213.21, "end": 213.55, "word": " مع", "probability": 0.9873046875}, {"start": 213.55, "end": 213.87, "word": " G", "probability": 0.69482421875}], "temperature": 1.0}, {"id": 9, "seek": 24388, "start": 214.7, "end": 243.88, "text": "ما دام هذا generator يبقى ال order اللي بده يساوي منين ال order لل G موديل لل G external direct product مع H هذا معناه ان ال order لل G والH بده يساوي ال order لل G external direct product مع من؟ مع ال H هذا بده يعطيني طيب ال order لل G", "tokens": [15042, 11778, 10943, 23758, 19265, 7251, 3555, 4587, 7578, 2423, 1668, 13672, 1829, 47525, 3224, 7251, 3794, 995, 45865, 9154, 9957, 2423, 1668, 24976, 460, 3714, 2407, 16254, 1211, 24976, 460, 8320, 2047, 1674, 20449, 389, 23758, 20449, 8315, 3224, 16472, 2423, 1668, 24976, 460, 16070, 39, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1668, 24976, 460, 8320, 2047, 1674, 20449, 9154, 22807, 20449, 2423, 389, 23758, 47525, 3224, 37495, 9566, 9957, 1829, 23032, 1829, 3555, 2423, 1668, 24976, 460], "avg_logprob": -0.331983036465115, "compression_ratio": 1.9881656804733727, "no_speech_prob": 0.0, "words": [{"start": 214.7, "end": 214.94, "word": "ما", "probability": 0.161376953125}, {"start": 214.94, "end": 215.2, "word": " دام", "probability": 0.764892578125}, {"start": 215.2, "end": 215.5, "word": " هذا", "probability": 0.7041015625}, {"start": 215.5, "end": 216.18, "word": " generator", "probability": 0.19580078125}, {"start": 216.18, "end": 216.8, "word": " يبقى", "probability": 0.9166259765625}, {"start": 216.8, "end": 216.98, "word": " ال", "probability": 0.662109375}, {"start": 216.98, "end": 217.42, "word": " order", "probability": 0.814453125}, {"start": 217.42, "end": 217.76, "word": " اللي", "probability": 0.4215087890625}, {"start": 217.76, "end": 218.14, "word": " بده", "probability": 0.40673828125}, {"start": 218.14, "end": 218.46, "word": " يساوي", "probability": 0.8939208984375}, {"start": 218.46, "end": 218.96, "word": " منين", "probability": 0.5}, {"start": 218.96, "end": 219.64, "word": " ال", "probability": 0.65087890625}, {"start": 219.64, "end": 220.18, "word": " order", "probability": 0.93408203125}, {"start": 220.18, "end": 220.78, "word": " لل", "probability": 0.456298828125}, {"start": 220.78, "end": 221.16, "word": " G", "probability": 0.39404296875}, {"start": 221.16, "end": 222.12, "word": " موديل", "probability": 0.5682373046875}, {"start": 222.12, "end": 222.36, "word": " لل", "probability": 0.4658203125}, {"start": 222.36, "end": 222.78, "word": " G", "probability": 0.90234375}, {"start": 222.78, "end": 223.58, "word": " external", "probability": 0.62841796875}, {"start": 223.58, "end": 223.86, "word": " direct", "probability": 0.34375}, {"start": 223.86, "end": 224.36, "word": " product", "probability": 0.96923828125}, {"start": 224.36, "end": 224.72, "word": " مع", "probability": 0.95849609375}, {"start": 224.72, "end": 225.04, "word": " H", "probability": 0.7001953125}, {"start": 225.04, "end": 225.84, "word": " هذا", "probability": 0.87646484375}, {"start": 225.84, "end": 226.46, "word": " معناه", "probability": 0.9853515625}, {"start": 226.46, "end": 226.88, "word": " ان", "probability": 0.73779296875}, {"start": 226.88, "end": 227.16, "word": " ال", "probability": 0.931640625}, {"start": 227.16, "end": 227.8, "word": " order", "probability": 0.974609375}, {"start": 227.8, "end": 228.68, "word": " لل", "probability": 0.88623046875}, {"start": 228.68, "end": 229.08, "word": " G", "probability": 0.9501953125}, {"start": 229.08, "end": 230.1, "word": " والH", "probability": 0.5048828125}, {"start": 230.1, "end": 230.92, "word": " بده", "probability": 0.811767578125}, {"start": 230.92, "end": 231.56, "word": " يساوي", "probability": 0.974365234375}, {"start": 231.56, "end": 231.82, "word": " ال", "probability": 0.92333984375}, {"start": 231.82, "end": 232.32, "word": " order", "probability": 0.96875}, {"start": 232.32, "end": 233.22, "word": " لل", "probability": 0.9384765625}, {"start": 233.22, "end": 233.6, "word": " G", "probability": 0.9365234375}, {"start": 233.6, "end": 234.6, "word": " external", "probability": 0.875}, {"start": 234.6, "end": 235.12, "word": " direct", "probability": 0.8955078125}, {"start": 235.12, "end": 235.62, "word": " product", "probability": 0.958984375}, {"start": 235.62, "end": 235.88, "word": " مع", "probability": 0.9873046875}, {"start": 235.88, "end": 236.6, "word": " من؟", "probability": 0.4229736328125}, {"start": 236.6, "end": 237.12, "word": " مع", "probability": 0.97021484375}, {"start": 237.12, "end": 237.4, "word": " ال", "probability": 0.970703125}, {"start": 237.4, "end": 237.8, "word": " H", "probability": 0.9814453125}, {"start": 237.8, "end": 238.66, "word": " هذا", "probability": 0.8486328125}, {"start": 238.66, "end": 239.1, "word": " بده", "probability": 0.88525390625}, {"start": 239.1, "end": 239.76, "word": " يعطيني", "probability": 0.7569580078125}, {"start": 239.76, "end": 241.3, "word": " طيب", "probability": 0.9337565104166666}, {"start": 241.3, "end": 242.04, "word": " ال", 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260.01, "end": 260.73, "word": " وال", "probability": 0.5751953125}, {"start": 260.73, "end": 261.27, "word": " order", "probability": 0.8955078125}, {"start": 261.27, "end": 261.71, "word": " تبع", "probability": 0.9768880208333334}, {"start": 261.71, "end": 261.87, "word": " ال", "probability": 0.98095703125}, {"start": 261.87, "end": 262.13, "word": " H", "probability": 0.98876953125}, {"start": 262.13, "end": 262.65, "word": " بالشكل", "probability": 0.93701171875}, {"start": 262.65, "end": 262.79, "word": " اللي", "probability": 0.931640625}, {"start": 262.79, "end": 263.05, "word": " عندنا", "probability": 0.876708984375}, {"start": 263.05, "end": 263.33, "word": " هذا", "probability": 0.87109375}, {"start": 263.33, "end": 264.01, "word": " اللي", "probability": 0.9521484375}, {"start": 264.01, "end": 264.15, "word": " هو", "probability": 0.97021484375}, {"start": 264.15, "end": 264.47, "word": " بدي", "probability": 0.94287109375}, {"start": 264.47, "end": 264.95, "word": " يساوي", "probability": 0.97021484375}, {"start": 264.95, "end": 265.09, "word": " ال", "probability": 0.9736328125}, {"start": 265.09, "end": 265.47, "word": " order", "probability": 0.9765625}, {"start": 265.47, "end": 266.09, "word": " لهذه", "probability": 0.926513671875}, {"start": 266.09, "end": 266.93, "word": " قداش", "probability": 0.75439453125}, {"start": 266.93, "end": 267.77, "word": " اللي", "probability": 0.66796875}, {"start": 267.77, "end": 268.33, "word": " م", "probability": 0.478759765625}, {"start": 268.33, "end": 268.73, "word": " في", "probability": 0.9208984375}, {"start": 268.73, "end": 269.39, "word": " ن", "probability": 0.50634765625}], "temperature": 1.0}, {"id": 11, "seek": 29795, "start": 271.38, "end": 297.96, "text": "يبقى أنا بقول ال order لل element هذا بيساوي ال order لل element هذه بيبقى بناء عليه ال order لل element g و h بيساوي ال least common multiple ما بين ال two orders طبقا للنظرية السابقة اللي برهنناها طيب هذا ال order هو عبارة عن مين؟ عن m في n خلي هذه المعلومة في دماغك و هنرجعلها بعد قليل طيب الآن", "tokens": [1829, 3555, 4587, 7578, 41850, 4724, 39648, 2423, 1668, 24976, 4478, 23758, 4724, 1829, 3794, 995, 45865, 2423, 1668, 24976, 4478, 29538, 4724, 1829, 3555, 4587, 7578, 44945, 16606, 47356, 2423, 1668, 24976, 4478, 290, 4032, 276, 4724, 1829, 3794, 995, 45865, 2423, 1935, 2689, 3866, 19446, 49374, 2423, 732, 9470, 23032, 3555, 4587, 995, 24976, 1863, 19913, 2288, 10632, 21136, 16758, 28671, 13672, 1829, 4724, 2288, 3224, 1863, 8315, 11296, 23032, 1829, 3555, 23758, 2423, 1668, 31439, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 18871, 275, 8978, 297, 16490, 20292, 29538, 9673, 30241, 20498, 3660, 8978, 11778, 2304, 5718, 118, 4117, 4032, 8032, 1863, 47341, 30241, 11296, 39182, 12174, 20292, 1211, 23032, 1829, 3555, 6024, 48506], "avg_logprob": -0.21966911789749852, "compression_ratio": 1.8930041152263375, "no_speech_prob": 0.0, "words": [{"start": 271.38, "end": 271.84, "word": "يبقى", "probability": 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0.4267578125}, {"start": 280.96, "end": 281.26, "word": " least", "probability": 0.958984375}, {"start": 281.26, "end": 281.7, "word": " common", "probability": 0.9443359375}, {"start": 281.7, "end": 282.24, "word": " multiple", "probability": 0.94091796875}, {"start": 282.24, "end": 282.52, "word": " ما", "probability": 0.76171875}, {"start": 282.52, "end": 282.74, "word": " بين", "probability": 0.9892578125}, {"start": 282.74, "end": 282.98, "word": " ال", "probability": 0.9541015625}, {"start": 282.98, "end": 283.22, "word": " two", "probability": 0.94189453125}, {"start": 283.22, "end": 283.8, "word": " orders", "probability": 0.69677734375}, {"start": 283.8, "end": 284.58, "word": " طبقا", "probability": 0.75482177734375}, {"start": 284.58, "end": 285.2, "word": " للنظرية", "probability": 0.858154296875}, {"start": 285.2, "end": 285.94, "word": " السابقة", "probability": 0.9925130208333334}, {"start": 285.94, "end": 286.36, "word": " اللي", "probability": 0.900146484375}, {"start": 286.36, "end": 287.04, "word": " برهنناها", "probability": 0.8470865885416666}, {"start": 287.04, "end": 287.7, "word": " طيب", "probability": 0.9295247395833334}, {"start": 287.7, "end": 288.3, "word": " هذا", "probability": 0.931640625}, {"start": 288.3, "end": 288.52, "word": " ال", "probability": 0.9912109375}, {"start": 288.52, "end": 288.92, "word": " order", "probability": 0.97412109375}, {"start": 288.92, "end": 289.2, "word": " هو", "probability": 0.953125}, {"start": 289.2, "end": 289.56, "word": " عبارة", "probability": 0.9906005859375}, {"start": 289.56, "end": 289.78, "word": " عن", "probability": 0.97509765625}, {"start": 289.78, "end": 290.36, "word": " مين؟", "probability": 0.7482096354166666}, {"start": 290.36, "end": 290.6, "word": " عن", "probability": 0.953125}, {"start": 290.6, "end": 291.08, "word": " m", "probability": 0.6220703125}, {"start": 291.08, "end": 291.34, "word": " في", "probability": 0.89892578125}, {"start": 291.34, "end": 291.7, "word": " n", "probability": 0.93310546875}, {"start": 291.7, "end": 292.52, "word": " خلي", "probability": 0.6446533203125}, {"start": 292.52, "end": 292.66, "word": " هذه", "probability": 0.421630859375}, {"start": 292.66, "end": 293.16, "word": " المعلومة", "probability": 0.9888916015625}, {"start": 293.16, "end": 293.46, "word": " في", "probability": 0.8515625}, {"start": 293.46, "end": 294.06, "word": " دماغك", "probability": 0.92099609375}, {"start": 294.06, "end": 294.52, "word": " و", "probability": 0.93701171875}, {"start": 294.52, "end": 295.58, "word": " هنرجعلها", "probability": 0.80546875}, {"start": 295.58, "end": 296.02, "word": " بعد", "probability": 0.939453125}, {"start": 296.02, "end": 297.02, "word": " قليل", "probability": 0.9939778645833334}, {"start": 297.02, "end": 297.54, "word": " طيب", "probability": 0.9441731770833334}, {"start": 297.54, "end": 297.96, "word": " الآن", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 12, "seek": 31626, "start": 300.1, "end": 316.26, "text": "الـ order للـ G ال order للـ G يقسم ال order للـ G كبتار صح ولا لا يبقى divide ال order للـ G اللي هو بدي ساوي قداش", "tokens": [6027, 39184, 1668, 24976, 39184, 460, 2423, 1668, 24976, 39184, 460, 7251, 4587, 38251, 2423, 1668, 24976, 39184, 460, 9122, 3555, 2655, 9640, 20328, 5016, 49429, 20193, 7251, 3555, 4587, 7578, 9845, 2423, 1668, 24976, 39184, 460, 13672, 1829, 31439, 4724, 16254, 8608, 995, 45865, 12174, 3215, 33599], "avg_logprob": -0.4317602138130032, "compression_ratio": 1.6320754716981132, "no_speech_prob": 0.0, "words": [{"start": 300.1, "end": 300.54, "word": "الـ", "probability": 0.22857666015625}, {"start": 300.54, "end": 301.04, "word": " order", "probability": 0.607421875}, {"start": 301.04, "end": 301.64, "word": " للـ", "probability": 0.61669921875}, {"start": 301.64, "end": 301.84, "word": " G", "probability": 0.67431640625}, {"start": 301.84, "end": 303.14, "word": " ال", "probability": 0.20068359375}, {"start": 303.14, "end": 303.58, "word": " order", "probability": 0.455810546875}, {"start": 303.58, "end": 303.98, "word": " للـ", "probability": 0.767578125}, {"start": 303.98, "end": 304.2, "word": " G", "probability": 0.93212890625}, {"start": 304.2, "end": 305.44, "word": " يقسم", "probability": 0.6426595052083334}, {"start": 305.44, "end": 305.64, "word": " ال", "probability": 0.85302734375}, {"start": 305.64, "end": 306.1, "word": " order", "probability": 0.908203125}, {"start": 306.1, "end": 306.48, "word": " للـ", "probability": 0.765380859375}, {"start": 306.48, "end": 306.64, "word": " G", "probability": 0.87841796875}, {"start": 306.64, "end": 307.22, "word": " كبتار", "probability": 0.531524658203125}, {"start": 307.22, "end": 307.62, "word": " صح", "probability": 0.77490234375}, {"start": 307.62, "end": 307.82, "word": " ولا", "probability": 0.88916015625}, {"start": 307.82, "end": 308.14, "word": " لا", "probability": 0.66259765625}, {"start": 308.14, "end": 309.24, "word": " يبقى", "probability": 0.8629150390625}, {"start": 309.24, "end": 310.34, "word": " divide", "probability": 0.6142578125}, {"start": 310.34, "end": 310.88, "word": " ال", "probability": 0.8623046875}, {"start": 310.88, "end": 311.84, "word": " order", "probability": 0.97119140625}, {"start": 311.84, "end": 312.22, "word": " للـ", "probability": 0.66015625}, {"start": 312.22, "end": 312.56, "word": " G", "probability": 0.92138671875}, {"start": 312.56, "end": 314.74, "word": " اللي", "probability": 0.6837158203125}, {"start": 314.74, "end": 314.84, "word": " هو", "probability": 0.98291015625}, {"start": 314.84, "end": 315.02, "word": " بدي", "probability": 0.6241455078125}, {"start": 315.02, "end": 315.3, "word": " ساوي", "probability": 0.6283365885416666}, {"start": 315.3, "end": 316.26, "word": " قداش", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 13, "seek": 34597, "start": 316.91, "end": 345.97, "text": "M يعني ال order اللي جيه بده يقسم من ال M وفي نفس الوقت ال order ل ال H بده يقسم من بده يقسم ال order ل من ل ال H اللي هو بده يساوي ال N إذا ما هو علاقة least common multiple لل two orders مع M و N", "tokens": [44, 37495, 22653, 2423, 1668, 13672, 1829, 10874, 1829, 3224, 47525, 3224, 7251, 4587, 38251, 9154, 2423, 376, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 2423, 1668, 5296, 2423, 389, 47525, 3224, 7251, 4587, 38251, 9154, 47525, 3224, 7251, 4587, 38251, 2423, 1668, 5296, 9154, 5296, 2423, 389, 13672, 1829, 31439, 47525, 3224, 7251, 3794, 995, 45865, 2423, 426, 11933, 15730, 19446, 31439, 11203, 995, 28671, 1935, 2689, 3866, 24976, 732, 9470, 20449, 376, 4032, 426], "avg_logprob": -0.224431815085473, "compression_ratio": 1.7396449704142012, "no_speech_prob": 0.0, "words": [{"start": 316.91, "end": 317.39, "word": "M", "probability": 0.1143798828125}, {"start": 317.39, "end": 318.51, "word": " يعني", "probability": 0.82958984375}, {"start": 318.51, "end": 318.71, "word": " ال", "probability": 0.310302734375}, {"start": 318.71, "end": 318.99, "word": " order", 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"end": 340.91, "word": " least", "probability": 0.61376953125}, {"start": 340.91, "end": 341.47, "word": " common", "probability": 0.93359375}, {"start": 341.47, "end": 342.19, "word": " multiple", "probability": 0.88818359375}, {"start": 342.19, "end": 342.97, "word": " لل", "probability": 0.47998046875}, {"start": 342.97, "end": 343.35, "word": " two", "probability": 0.8896484375}, {"start": 343.35, "end": 344.11, "word": " orders", "probability": 0.87646484375}, {"start": 344.11, "end": 344.71, "word": " مع", "probability": 0.96875}, {"start": 344.71, "end": 345.13, "word": " M", "probability": 0.9619140625}, {"start": 345.13, "end": 345.43, "word": " و", "probability": 0.99169921875}, {"start": 345.43, "end": 345.97, "word": " N", "probability": 0.7587890625}], "temperature": 1.0}, {"id": 14, "seek": 35988, "start": 348.44, "end": 359.88, "text": "الليز كومل ملتبل لل اوضة مع الليز كومل ملتبل لل M و N مين اللي اصغر و مين اللي اكبر؟ لليز كومل ملتبل لمن؟ لل H و G مية لمية اصغر من من؟", "tokens": [6027, 20292, 11622, 9122, 20498, 1211, 3714, 1211, 2655, 36150, 24976, 1975, 2407, 11242, 3660, 20449, 2423, 20292, 11622, 9122, 20498, 1211, 3714, 1211, 2655, 36150, 24976, 376, 4032, 426, 3714, 9957, 13672, 1829, 1975, 9381, 17082, 2288, 4032, 3714, 9957, 13672, 1829, 1975, 4117, 26890, 22807, 5296, 20292, 11622, 9122, 20498, 1211, 3714, 1211, 2655, 36150, 5296, 27842, 22807, 24976, 389, 4032, 460, 3714, 10632, 5296, 2304, 10632, 1975, 9381, 17082, 2288, 9154, 9154, 22807], "avg_logprob": -0.40239448980851605, "compression_ratio": 2.1272727272727274, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 348.44, "end": 349.0, "word": "الليز", "probability": 0.3053385416666667}, {"start": 349.0, "end": 349.32, "word": " كومل", "probability": 0.6759440104166666}, {"start": 349.32, "end": 349.94, "word": " ملتبل", "probability": 0.79534912109375}, {"start": 349.94, "end": 350.18, "word": " لل", "probability": 0.60009765625}, {"start": 350.18, "end": 350.66, "word": " اوضة", "probability": 0.426727294921875}, {"start": 350.66, "end": 350.88, "word": " مع", "probability": 0.677734375}, {"start": 350.88, "end": 351.24, "word": " الليز", "probability": 0.7610677083333334}, {"start": 351.24, "end": 351.52, "word": " كومل", "probability": 0.9886067708333334}, {"start": 351.52, "end": 351.92, "word": " ملتبل", "probability": 0.98046875}, {"start": 351.92, "end": 352.12, "word": " لل", "probability": 0.73486328125}, {"start": 352.12, "end": 352.34, "word": " M", "probability": 0.391845703125}, {"start": 352.34, "end": 352.48, "word": " و", "probability": 0.1878662109375}, {"start": 352.48, "end": 352.6, "word": " N", "probability": 0.724609375}, {"start": 352.6, "end": 352.88, "word": " مين", "probability": 0.657470703125}, {"start": 352.88, "end": 353.04, "word": " اللي", "probability": 0.91064453125}, {"start": 353.04, "end": 353.34, "word": " اصغر", "probability": 0.875}, {"start": 353.34, "end": 353.42, "word": " و", "probability": 0.9638671875}, {"start": 353.42, "end": 353.58, "word": " مين", "probability": 0.71630859375}, {"start": 353.58, "end": 353.74, "word": " اللي", "probability": 0.838623046875}, {"start": 353.74, "end": 354.38, "word": " اكبر؟", "probability": 0.78302001953125}, {"start": 354.38, "end": 354.66, "word": " لليز", "probability": 0.540283203125}, {"start": 354.66, "end": 354.92, "word": " كومل", "probability": 0.9905598958333334}, {"start": 354.92, "end": 355.36, "word": " ملتبل", "probability": 0.9913330078125}, {"start": 355.36, "end": 356.46, "word": " لمن؟", "probability": 0.65478515625}, {"start": 356.46, "end": 356.78, "word": " لل", "probability": 0.322509765625}, {"start": 356.78, "end": 357.4, "word": " H", "probability": 0.6298828125}, {"start": 357.4, "end": 357.56, "word": " و", "probability": 0.8544921875}, {"start": 357.56, "end": 357.78, "word": " G", "probability": 0.433837890625}, {"start": 357.78, "end": 358.16, "word": " مية", "probability": 0.5869140625}, {"start": 358.16, "end": 358.56, "word": " لمية", "probability": 0.7329915364583334}, {"start": 358.56, "end": 359.2, "word": " اصغر", "probability": 0.9169921875}, {"start": 359.2, "end": 359.36, "word": " من", "probability": 0.966796875}, {"start": 359.36, "end": 359.88, "word": " من؟", "probability": 0.63916015625}], "temperature": 1.0}, {"id": 15, "seek": 38754, "start": 360.6, "end": 387.54, "text": "من ال least common multiple لل M و N تمام؟ يبقى هذا يطيء لكمين؟ ان ال least common multiple لل order تبع ال G وال order تبع ال H هذا كله ماله أقل من أو يساوي ال least common multiple لل M و N", "tokens": [27842, 2423, 1935, 2689, 3866, 24976, 376, 4032, 426, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 7251, 9566, 1829, 38207, 5296, 24793, 9957, 22807, 16472, 2423, 1935, 2689, 3866, 24976, 1668, 6055, 3555, 3615, 2423, 460, 16070, 1668, 6055, 3555, 3615, 2423, 389, 23758, 28242, 3224, 3714, 6027, 3224, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 2423, 1935, 2689, 3866, 24976, 376, 4032, 426], "avg_logprob": -0.24126837555976474, "compression_ratio": 1.738562091503268, "no_speech_prob": 0.0, "words": [{"start": 360.6, "end": 361.22, "word": "من", "probability": 0.6943359375}, {"start": 361.22, "end": 361.6, "word": " ال", "probability": 0.6865234375}, {"start": 361.6, "end": 361.8, "word": " least", "probability": 0.247314453125}, {"start": 361.8, "end": 362.08, "word": " common", "probability": 0.919921875}, {"start": 362.08, "end": 362.52, "word": " multiple", "probability": 0.9140625}, {"start": 362.52, "end": 362.8, "word": " لل", "probability": 0.7412109375}, {"start": 362.8, "end": 363.08, "word": " M", "probability": 0.41357421875}, {"start": 363.08, "end": 363.28, "word": " و", "probability": 0.9560546875}, {"start": 363.28, "end": 363.56, "word": " N", "probability": 0.54248046875}, {"start": 363.56, "end": 365.16, "word": " تمام؟", "probability": 0.696533203125}, {"start": 365.16, "end": 365.64, "word": " يبقى", "probability": 0.907470703125}, {"start": 365.64, "end": 366.04, "word": " هذا", "probability": 0.94775390625}, {"start": 366.04, "end": 366.84, "word": " يطيء", "probability": 0.53167724609375}, {"start": 366.84, "end": 367.98, "word": " لكمين؟", "probability": 0.57952880859375}, {"start": 367.98, "end": 368.44, "word": " ان", "probability": 0.70361328125}, {"start": 368.44, "end": 368.7, "word": " ال", "probability": 0.7685546875}, {"start": 368.7, "end": 369.16, "word": " least", "probability": 0.96044921875}, {"start": 369.16, "end": 369.84, "word": " common", "probability": 0.9453125}, {"start": 369.84, "end": 370.64, "word": " multiple", "probability": 0.8916015625}, {"start": 370.64, "end": 371.48, "word": " لل", "probability": 0.923828125}, {"start": 371.48, "end": 372.06, "word": " order", "probability": 0.923828125}, {"start": 372.06, "end": 372.58, "word": " تبع", "probability": 0.9319661458333334}, {"start": 372.58, "end": 372.84, "word": " ال", "probability": 0.84619140625}, {"start": 372.84, "end": 373.14, "word": " G", "probability": 0.892578125}, {"start": 373.14, "end": 373.86, "word": " وال", "probability": 0.36328125}, {"start": 373.86, "end": 374.52, "word": " order", "probability": 0.89990234375}, {"start": 374.52, "end": 376.46, "word": " تبع", "probability": 0.9676106770833334}, {"start": 376.46, "end": 376.66, "word": " ال", "probability": 0.9794921875}, {"start": 376.66, "end": 377.22, "word": " H", "probability": 0.98291015625}, {"start": 377.22, "end": 379.2, "word": " هذا", "probability": 0.75927734375}, {"start": 379.2, "end": 380.62, "word": " كله", "probability": 0.992919921875}, {"start": 380.62, "end": 381.62, "word": " ماله", "probability": 0.8414713541666666}, {"start": 381.62, "end": 382.62, "word": " أقل", "probability": 0.8883463541666666}, {"start": 382.62, "end": 383.0, "word": " من", "probability": 0.9853515625}, {"start": 383.0, "end": 383.38, "word": " أو", "probability": 0.7734375}, {"start": 383.38, "end": 384.04, "word": " يساوي", "probability": 0.886474609375}, {"start": 384.04, "end": 384.3, "word": " ال", "probability": 0.80712890625}, {"start": 384.3, "end": 384.68, "word": " least", "probability": 0.978515625}, {"start": 384.68, "end": 385.22, "word": " common", "probability": 0.93017578125}, {"start": 385.22, "end": 385.92, "word": " multiple", "probability": 0.8994140625}, {"start": 385.92, "end": 386.38, "word": " لل", "probability": 0.86962890625}, {"start": 386.38, "end": 386.92, "word": " M", "probability": 0.9951171875}, {"start": 386.92, "end": 387.22, "word": " و", "probability": 0.994140625}, {"start": 387.22, "end": 387.54, "word": " N", "probability": 0.892578125}], "temperature": 1.0}, {"id": 16, "seek": 41645, "start": 390.13, "end": 416.45, "text": "تمام طيب ال least common multiple لهذا اللي هو قداش M في N يبقى بناء عليه So ال M في N أقل من أو يسوى ال least common multiple لمن؟ لل M و N اعتبر هذه المعادلة رقم Star", "tokens": [39237, 10943, 23032, 1829, 3555, 2423, 1935, 2689, 3866, 46740, 15730, 13672, 1829, 31439, 12174, 3215, 33599, 376, 8978, 426, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 407, 2423, 376, 8978, 426, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 2407, 7578, 2423, 1935, 2689, 3866, 5296, 27842, 22807, 24976, 376, 4032, 426, 1975, 34268, 26890, 29538, 9673, 3615, 18513, 37977, 12602, 4587, 2304, 5705], "avg_logprob": -0.22740384615384615, "compression_ratio": 1.467455621301775, "no_speech_prob": 0.0, "words": [{"start": 390.13, "end": 390.77, "word": "تمام", "probability": 0.53912353515625}, {"start": 390.77, "end": 391.93, "word": " طيب", "probability": 0.8193359375}, {"start": 391.93, "end": 392.59, "word": " ال", "probability": 0.7587890625}, {"start": 392.59, "end": 392.93, "word": " least", "probability": 0.8994140625}, {"start": 392.93, "end": 393.39, "word": " common", "probability": 0.9423828125}, {"start": 393.39, "end": 394.37, "word": " multiple", "probability": 0.8974609375}, {"start": 394.37, "end": 395.43, "word": " لهذا", "probability": 0.89501953125}, {"start": 395.43, "end": 395.61, "word": " اللي", "probability": 0.926513671875}, {"start": 395.61, "end": 395.81, "word": " هو", "probability": 0.9765625}, {"start": 395.81, "end": 396.69, "word": " قداش", "probability": 0.7250162760416666}, {"start": 396.69, "end": 398.37, "word": " M", "probability": 0.38330078125}, {"start": 398.37, "end": 398.69, "word": " في", "probability": 0.69580078125}, {"start": 398.69, "end": 399.13, "word": " N", "probability": 0.93994140625}, {"start": 399.13, "end": 400.03, "word": " يبقى", "probability": 0.9736328125}, {"start": 400.03, "end": 400.45, "word": " بناء", "probability": 0.9296875}, {"start": 400.45, "end": 401.17, "word": " عليه", "probability": 0.89990234375}, {"start": 401.17, "end": 401.97, "word": " So", "probability": 0.1595458984375}, {"start": 401.97, "end": 402.85, "word": " ال", "probability": 0.90869140625}, {"start": 402.85, "end": 403.35, "word": " M", "probability": 0.9287109375}, {"start": 403.35, "end": 403.89, "word": " في", "probability": 0.9443359375}, {"start": 403.89, "end": 404.41, "word": " N", "probability": 0.97900390625}, {"start": 404.41, "end": 405.39, "word": " أقل", "probability": 0.9378255208333334}, {"start": 405.39, "end": 405.73, "word": " من", "probability": 0.98779296875}, {"start": 405.73, "end": 406.05, "word": " أو", "probability": 0.89306640625}, {"start": 406.05, "end": 406.73, "word": " يسوى", "probability": 0.8140869140625}, {"start": 406.73, "end": 406.97, "word": " ال", "probability": 0.677734375}, {"start": 406.97, "end": 407.41, "word": " least", "probability": 0.96728515625}, {"start": 407.41, "end": 407.95, "word": " common", "probability": 0.92724609375}, {"start": 407.95, "end": 408.95, "word": " multiple", "probability": 0.875}, {"start": 408.95, "end": 410.23, "word": " لمن؟", "probability": 0.6509602864583334}, {"start": 410.23, "end": 410.73, "word": " لل", "probability": 0.66064453125}, {"start": 410.73, "end": 411.21, "word": " M", "probability": 0.91796875}, 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536.51, "text": "that لابنعرف ان الـ greatest common divisor لل M والN مضروب في least common multiple لل M وN بده يساوي M في N هذا بده يعطينا", "tokens": [6780, 5296, 16758, 1863, 3615, 28480, 16472, 2423, 39184, 6636, 2689, 25974, 284, 24976, 376, 16070, 45, 3714, 11242, 32887, 3555, 8978, 1935, 2689, 3866, 24976, 376, 4032, 45, 47525, 3224, 7251, 3794, 995, 45865, 376, 8978, 426, 23758, 47525, 3224, 37495, 9566, 1829, 8315], "avg_logprob": -0.34544837539610657, "compression_ratio": 1.2814814814814814, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 518.01, "end": 518.77, "word": "that", "probability": 0.14013671875}, {"start": 518.77, "end": 520.01, "word": " لابنعرف", "probability": 0.687548828125}, {"start": 520.01, "end": 520.95, "word": " ان", "probability": 0.70654296875}, {"start": 520.95, "end": 521.91, "word": " الـ", "probability": 0.4703369140625}, {"start": 521.91, "end": 522.25, "word": " greatest", "probability": 0.17041015625}, {"start": 522.25, "end": 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relatively a prime are relatively a prime when ال I لا تساوي مين؟ لا تساوي ال G", "tokens": [6027, 39184, 1668, 24976, 39184, 460, 286, 293, 2423, 1668, 24976, 39184, 460, 508, 366, 7226, 257, 5835, 366, 7226, 257, 5835, 562, 2423, 286, 20193, 6055, 3794, 995, 45865, 3714, 9957, 22807, 20193, 6055, 3794, 995, 45865, 2423, 460], "avg_logprob": -0.38986281650822335, "compression_ratio": 1.55, "no_speech_prob": 0.0, "words": [{"start": 986.58, "end": 987.0, "word": "الـ", "probability": 0.48883056640625}, {"start": 987.0, "end": 987.68, "word": " order", "probability": 0.8017578125}, {"start": 987.68, "end": 988.82, "word": " للـ", "probability": 0.7685546875}, {"start": 988.82, "end": 989.08, "word": " G", "probability": 0.1798095703125}, {"start": 989.08, "end": 989.76, "word": " I", "probability": 0.5087890625}, {"start": 989.76, "end": 992.08, "word": " and", "probability": 0.459228515625}, {"start": 992.08, "end": 993.66, "word": " ال", "probability": 0.76025390625}, {"start": 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خلّيناهم", "probability": 0.8959147135416666}, {"start": 1210.48, "end": 1210.82, "word": " أربعة", "probability": 0.9069010416666666}, {"start": 1210.82, "end": 1211.3, "word": " خلّيناهم", "probability": 0.9615071614583334}, {"start": 1211.3, "end": 1211.66, "word": " خمسة", "probability": 0.9930419921875}, {"start": 1211.66, "end": 1211.8, "word": " مش", "probability": 0.95654296875}, {"start": 1211.8, "end": 1212.26, "word": " مشكلة", "probability": 0.9783528645833334}, {"start": 1212.26, "end": 1212.86, "word": " قد", "probability": 0.7020263671875}, {"start": 1212.86, "end": 1212.98, "word": " ما", "probability": 0.9248046875}, {"start": 1212.98, "end": 1213.28, "word": " يكون", "probability": 0.980224609375}, {"start": 1213.28, "end": 1213.8, "word": " العدد", "probability": 0.8893229166666666}, {"start": 1213.8, "end": 1214.5, "word": " يبقى", "probability": 0.9686279296875}, {"start": 1214.5, "end": 1214.8, "word": " هذه", "probability": 0.97607421875}, {"start": 1214.8, "end": 1215.52, "word": " النظرية", "probability": 0.971435546875}, {"start": 1215.52, "end": 1216.34, "word": " صحيح", "probability": 0.9906005859375}, {"start": 1216.34, "end": 1216.9, "word": " عليهم", "probability": 0.9638671875}, {"start": 1216.9, "end": 1217.5, "word": " وهي", "probability": 0.884521484375}, {"start": 1217.5, "end": 1217.7, "word": " هذه", "probability": 0.953125}, {"start": 1217.7, "end": 1218.34, "word": " النتيجة", "probability": 0.9462890625}, {"start": 1218.34, "end": 1218.98, "word": " رقم", "probability": 0.9944661458333334}, {"start": 1218.98, "end": 1219.6, "word": " واحد", "probability": 0.924560546875}, {"start": 1219.6, "end": 1220.4, "word": " الا", "probability": 0.2225341796875}, {"start": 1220.4, "end": 1221.0, "word": " للنتيجة", "probability": 0.8818359375}, {"start": 1221.0, "end": 1221.4, "word": " رقم", "probability": 0.9905598958333334}, {"start": 1221.4, "end": 1221.7, "word": " اتنين", "probability": 0.965576171875}, {"start": 1221.7, "end": 1222.0, "word": " بيقول", "probability": 0.89501953125}, {"start": 1222.0, "end": 1222.26, "word": " لو", "probability": 0.9248046875}, {"start": 1222.26, "end": 1222.7, "word": " عندك", "probability": 0.99169921875}, {"start": 1222.7, "end": 1223.46, "word": " رقم", "probability": 0.8653971354166666}, {"start": 1223.46, "end": 1223.86, "word": " M", "probability": 0.7744140625}, {"start": 1223.86, "end": 1225.3, "word": " حللته", "probability": 0.856689453125}, {"start": 1225.3, "end": 1225.64, "word": " إلى", "probability": 0.5107421875}, {"start": 1225.64, "end": 1226.36, "word": " حاصل", "probability": 0.90234375}, {"start": 1226.36, "end": 1226.74, "word": " ضرب", "probability": 0.99365234375}, {"start": 1226.74, "end": 1227.38, "word": " أعداد", "probability": 0.87255859375}, {"start": 1227.38, "end": 1227.78, "word": " زي", "probability": 0.920654296875}, {"start": 1227.78, "end": 1228.06, "word": " ايش", "probability": 0.873046875}, {"start": 1228.06, "end": 1228.5, "word": " مثلا", "probability": 0.990234375}, {"start": 1228.5, "end": 1229.24, "word": " زي", "probability": 0.908447265625}, {"start": 1229.24, "end": 1229.84, "word": " تلاتين", "probability": 0.9468994140625}], "temperature": 1.0}, {"id": 49, "seek": 124582, "start": 1230.24, "end": 1245.82, "text": "تلاتين بقدر اقول اتنين في تلاتة في خمسة يبقى هاي حلته لحاصل ضرب ثلاثة اعداد والثلاثة اعداد ما لهم؟ Primes اتنين والتلاتة والخمسة are primes ايش بقول هنا؟", "tokens": [2655, 1211, 9307, 9957, 4724, 28543, 2288, 1975, 39648, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 8978, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 8032, 47302, 11331, 1211, 47395, 5296, 5016, 33546, 1211, 48812, 25513, 38637, 1211, 5718, 104, 3660, 1975, 22488, 18513, 16070, 12984, 1211, 5718, 104, 3660, 1975, 22488, 18513, 19446, 5296, 16095, 22807, 19671, 279, 1975, 2655, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 16070, 9778, 2304, 3794, 3660, 366, 2886, 279, 1975, 1829, 8592, 4724, 39648, 34105, 22807], "avg_logprob": -0.24382268013649208, "compression_ratio": 1.6708860759493671, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1230.24, "end": 1231.32, "word": "تلاتين", "probability": 0.7342987060546875}, {"start": 1231.32, "end": 1231.92, "word": " بقدر", "probability": 0.5414225260416666}, {"start": 1231.92, "end": 1232.1, "word": " اقول", "probability": 0.6826171875}, {"start": 1232.1, "end": 1232.78, "word": " اتنين", "probability": 0.9462890625}, {"start": 1232.78, "end": 1233.1, "word": " في", "probability": 0.53369140625}, {"start": 1233.1, "end": 1233.7, "word": " تلاتة", "probability": 0.957275390625}, {"start": 1233.7, "end": 1233.86, "word": " في", "probability": 0.9501953125}, {"start": 1233.86, "end": 1234.54, "word": " خمسة", "probability": 0.9835205078125}, {"start": 1234.54, "end": 1235.28, "word": " يبقى", "probability": 0.894287109375}, {"start": 1235.28, "end": 1235.44, "word": " هاي", "probability": 0.5340576171875}, {"start": 1235.44, "end": 1235.96, "word": " حلته", "probability": 0.9293619791666666}, {"start": 1235.96, "end": 1236.72, "word": " لحاصل", "probability": 0.7352294921875}, {"start": 1236.72, "end": 1237.12, "word": " ضرب", "probability": 0.984619140625}, {"start": 1237.12, "end": 1238.26, "word": " ثلاثة", "probability": 0.96064453125}, {"start": 1238.26, "end": 1238.78, "word": " اعداد", "probability": 0.8717447916666666}, {"start": 1238.78, "end": 1239.74, "word": " والثلاثة", "probability": 0.8711751302083334}, {"start": 1239.74, "end": 1240.12, "word": " اعداد", "probability": 0.9615885416666666}, {"start": 1240.12, "end": 1240.34, "word": " ما", "probability": 0.6611328125}, {"start": 1240.34, "end": 1240.78, "word": " لهم؟", "probability": 0.6272786458333334}, {"start": 1240.78, "end": 1242.04, "word": " Primes", "probability": 0.4439697265625}, {"start": 1242.04, "end": 1242.88, "word": " اتنين", "probability": 0.9302978515625}, {"start": 1242.88, "end": 1243.48, "word": " والتلاتة", "probability": 0.92734375}, {"start": 1243.48, "end": 1244.12, "word": " والخمسة", "probability": 0.96904296875}, {"start": 1244.12, "end": 1244.28, "word": " are", "probability": 0.6162109375}, {"start": 1244.28, "end": 1244.78, "word": " primes", "probability": 0.6552734375}, {"start": 1244.78, "end": 1244.96, "word": " ايش", "probability": 0.8033854166666666}, {"start": 1244.96, "end": 1245.24, "word": " بقول", "probability": 0.87060546875}, {"start": 1245.24, "end": 1245.82, "word": " هنا؟", "probability": 0.92333984375}], "temperature": 1.0}, {"id": 50, "seek": 127350, "start": 1246.42, "end": 1273.5, "text": "لو حللت ال M لحاصل ضرب أعداد يبقى ZM isomorphic ل ZN1, ZN2, ZN3, ZNK, F and only F كل عدد من هذه الأعداد are relatively prime مع بعضهم البعض يعني ليس بالضرورة أن يكونوا primes وإنما يكونوا relatively primes", "tokens": [1211, 2407, 11331, 1211, 1211, 2655, 2423, 376, 5296, 5016, 33546, 1211, 48812, 25513, 5551, 22488, 18513, 7251, 3555, 4587, 7578, 1176, 44, 307, 32702, 299, 5296, 1176, 45, 16, 11, 1176, 45, 17, 11, 1176, 45, 18, 11, 1176, 45, 42, 11, 479, 293, 787, 479, 28242, 6225, 3215, 3215, 9154, 29538, 16247, 22488, 18513, 366, 7226, 5835, 20449, 45030, 11242, 16095, 29739, 3615, 11242, 37495, 22653, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 14739, 7251, 30544, 14407, 2886, 279, 4032, 28814, 1863, 15042, 7251, 30544, 14407, 7226, 2886, 279], "avg_logprob": -0.20618206213997758, "compression_ratio": 1.4603960396039604, "no_speech_prob": 0.0, "words": [{"start": 1246.42, "end": 1246.78, "word": "لو", "probability": 0.83740234375}, {"start": 1246.78, "end": 1247.34, "word": " حللت", "probability": 0.9083251953125}, {"start": 1247.34, "end": 1247.48, "word": " ال", "probability": 0.75244140625}, {"start": 1247.48, "end": 1247.68, "word": " M", "probability": 0.306884765625}, {"start": 1247.68, "end": 1248.5, "word": " لحاصل", "probability": 0.8326416015625}, {"start": 1248.5, "end": 1248.82, "word": " ضرب", "probability": 0.9658203125}, {"start": 1248.82, "end": 1249.48, "word": " أعداد", "probability": 0.9140625}, {"start": 1249.48, "end": 1250.74, "word": " يبقى", "probability": 0.9609375}, {"start": 1250.74, "end": 1252.06, "word": " ZM", "probability": 0.593994140625}, {"start": 1252.06, "end": 1253.4, "word": " isomorphic", "probability": 0.8375651041666666}, {"start": 1253.4, "end": 1253.54, "word": " ل", "probability": 0.94580078125}, {"start": 1253.54, "end": 1254.42, "word": " ZN1,", "probability": 0.7819010416666666}, {"start": 1254.64, "end": 1255.5, "word": " ZN2,", "probability": 0.91357421875}, {"start": 1255.7, "end": 1256.5, "word": " ZN3,", "probability": 0.9791666666666666}, {"start": 1257.06, "end": 1258.14, "word": " ZNK,", "probability": 0.8880208333333334}, {"start": 1258.4, "end": 1259.26, "word": " F", "probability": 0.40673828125}, {"start": 1259.26, "end": 1259.56, "word": " and", "probability": 0.6904296875}, {"start": 1259.56, "end": 1259.94, "word": " only", "probability": 0.60302734375}, {"start": 1259.94, "end": 1260.3, "word": " F", "probability": 0.9208984375}, {"start": 1260.3, "end": 1261.14, "word": " كل", "probability": 0.7578125}, {"start": 1261.14, "end": 1261.72, "word": " عدد", "probability": 0.98193359375}, {"start": 1261.72, "end": 1261.96, "word": " من", "probability": 0.984375}, {"start": 1261.96, "end": 1262.4, "word": " هذه", "probability": 0.9736328125}, {"start": 1262.4, "end": 1263.06, "word": " الأعداد", "probability": 0.97607421875}, {"start": 1263.06, "end": 1263.42, "word": " are", "probability": 0.609375}, {"start": 1263.42, "end": 1264.08, "word": " relatively", "probability": 0.70751953125}, {"start": 1264.08, "end": 1264.7, "word": " prime", "probability": 0.91748046875}, {"start": 1264.7, "end": 1265.28, "word": " مع", "probability": 0.9677734375}, {"start": 1265.28, "end": 1266.74, "word": " بعضهم", "probability": 0.8883463541666666}, {"start": 1266.74, "end": 1267.34, "word": " البعض", "probability": 0.86865234375}, {"start": 1267.34, "end": 1268.06, "word": " يعني", "probability": 0.92626953125}, {"start": 1268.06, "end": 1268.78, "word": " ليس", "probability": 0.9765625}, {"start": 1268.78, "end": 1269.58, "word": " بالضرورة", "probability": 0.94140625}, {"start": 1269.58, "end": 1269.8, "word": " أن", "probability": 0.74169921875}, {"start": 1269.8, "end": 1270.58, "word": " يكونوا", "probability": 0.95849609375}, {"start": 1270.58, "end": 1271.22, "word": " primes", "probability": 0.5499267578125}, {"start": 1271.22, "end": 1271.54, "word": " وإنما", "probability": 0.792724609375}, {"start": 1271.54, "end": 1272.02, "word": " يكونوا", "probability": 0.8772786458333334}, {"start": 1272.02, "end": 1272.82, "word": " relatively", "probability": 0.54931640625}, {"start": 1272.82, "end": 1273.5, "word": " primes", "probability": 0.7291259765625}], "temperature": 1.0}, {"id": 51, "seek": 129728, "start": 1273.74, "end": 1297.28, "text": "يعني ممكن اخد اللي هو العدد اتنين مع العدد سبعة ممكن اخد ستة و خمسة ستة و خمسة اتنين relatively primes رغم انه خمسة primes ستة لأ تمام يبقى ليس بالضرورة ان تكون هذه الاعداد primes مثل ما حللنا اش التلاتين يبقى ممكن يكون اربعة و عشرين", "tokens": [40228, 22653, 3714, 43020, 1975, 9778, 3215, 13672, 1829, 31439, 18863, 3215, 3215, 1975, 2655, 1863, 9957, 20449, 18863, 3215, 3215, 8608, 3555, 27884, 3714, 43020, 1975, 9778, 3215, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 3660, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 7226, 2886, 279, 12602, 17082, 2304, 16472, 3224, 16490, 2304, 3794, 3660, 2886, 279, 8608, 2655, 3660, 5296, 10721, 46811, 10943, 7251, 3555, 4587, 7578, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 16472, 6055, 30544, 29538, 42963, 22488, 18513, 2886, 279, 50113, 1211, 19446, 11331, 1211, 1211, 8315, 1975, 8592, 16712, 1211, 9307, 9957, 7251, 3555, 4587, 7578, 3714, 43020, 7251, 30544, 1975, 25513, 27884, 4032, 6225, 46309, 9957], "avg_logprob": -0.17660188850234537, "compression_ratio": 1.8666666666666667, "no_speech_prob": 0.0, "words": 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1298.19, "end": 1320.03, "text": "أربعة و عشرين هو تلاتة في تمان يعني اتنين في تلاتة في اربع مظبوط يبقى الاربع و عشرين اتنين في تلاتة في ستة في اربع و اربع و عشرين الان يبقى هذول اتنين في تلاتة في ستة اتنين و تلاتة هذول الـprimes بس إيش بيصير اتنين مع الأربع are not relatively prime", "tokens": [10721, 25513, 27884, 4032, 6225, 46309, 9957, 31439, 6055, 1211, 9307, 3660, 8978, 46811, 7649, 37495, 22653, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 8978, 1975, 25513, 3615, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 2423, 9640, 3555, 3615, 4032, 6225, 46309, 9957, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 8978, 8608, 2655, 3660, 8978, 1975, 25513, 3615, 4032, 1975, 25513, 3615, 4032, 6225, 46309, 9957, 2423, 7649, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 8978, 8608, 2655, 3660, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 8032, 8848, 12610, 2423, 39184, 1424, 1532, 4724, 3794, 11933, 1829, 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1311.49, "end": 1311.65, "word": " في", "probability": 0.97607421875}, {"start": 1311.65, "end": 1312.09, "word": " تلاتة", "probability": 0.988525390625}, {"start": 1312.09, "end": 1312.19, "word": " في", "probability": 0.9716796875}, {"start": 1312.19, "end": 1312.57, "word": " ستة", "probability": 0.9874674479166666}, {"start": 1312.57, "end": 1312.89, "word": " اتنين", "probability": 0.9267578125}, {"start": 1312.89, "end": 1313.01, "word": " و", "probability": 0.9716796875}, {"start": 1313.01, "end": 1313.51, "word": " تلاتة", "probability": 0.983642578125}, {"start": 1313.51, "end": 1313.87, "word": " هذول", "probability": 0.93017578125}, {"start": 1313.87, "end": 1314.63, "word": " الـprimes", "probability": 0.5562744140625}, {"start": 1314.63, "end": 1315.33, "word": " بس", "probability": 0.95458984375}, {"start": 1315.33, "end": 1315.49, "word": " إيش", "probability": 0.7240397135416666}, {"start": 1315.49, "end": 1316.05, "word": " بيصير", "probability": 0.9454345703125}, {"start": 1316.05, "end": 1316.97, "word": " اتنين", "probability": 0.9669189453125}, {"start": 1316.97, "end": 1317.23, "word": " مع", "probability": 0.95263671875}, {"start": 1317.23, "end": 1317.81, "word": " الأربع", "probability": 0.6854654947916666}, {"start": 1317.81, "end": 1318.17, "word": " are", "probability": 0.407958984375}, {"start": 1318.17, "end": 1318.67, "word": " not", "probability": 0.94921875}, {"start": 1318.67, "end": 1319.47, "word": " relatively", "probability": 0.76123046875}, {"start": 1319.47, "end": 1320.03, "word": " prime", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 53, "seek": 133996, "start": 1320.28, "end": 1339.96, "text": "يبقى بصير كل ابن هذا صحيح ولا مش صحيح؟ مش صحيح لازم تاخد أي رقمين منهم ودمكونوا مع بعض اتنين معاهم relatively a primes وليس بالضرورة ان يكونوا a primes يبقى مرة تانية بقول حللت ال M الى حاصل ضرب اعداد", "tokens": [1829, 3555, 4587, 7578, 4724, 9381, 13546, 28242, 48127, 1863, 23758, 20328, 5016, 1829, 5016, 49429, 37893, 20328, 5016, 1829, 5016, 22807, 37893, 20328, 5016, 1829, 5016, 5296, 31377, 2304, 6055, 47283, 3215, 36632, 12602, 4587, 2304, 9957, 9154, 16095, 4032, 40448, 30544, 14407, 20449, 45030, 11242, 1975, 2655, 1863, 9957, 20449, 995, 16095, 7226, 257, 582, 1532, 4032, 20292, 3794, 20666, 11242, 2288, 13063, 3660, 16472, 7251, 30544, 14407, 257, 582, 1532, 7251, 3555, 4587, 7578, 3714, 25720, 6055, 7649, 10632, 4724, 39648, 11331, 1211, 1211, 2655, 2423, 376, 2423, 7578, 11331, 33546, 1211, 48812, 25513, 1975, 22488, 18513], "avg_logprob": -0.18595297737876967, "compression_ratio": 1.6262135922330097, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1320.28, "end": 1320.64, "word": "يبقى", "probability": 0.72454833984375}, {"start": 1320.64, "end": 1320.94, "word": " بصير", "probability": 0.6873372395833334}, {"start": 1320.94, "end": 1321.1, "word": " كل", "probability": 0.5693359375}, {"start": 1321.1, "end": 1321.32, "word": " ابن", "probability": 0.764404296875}, 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{"start": 1350.04, "end": 1350.46, "word": " اللي", "probability": 0.56781005859375}, {"start": 1350.46, "end": 1350.74, "word": " هم", "probability": 0.6075439453125}, {"start": 1350.74, "end": 1351.46, "word": " كلهم", "probability": 0.928955078125}, {"start": 1351.46, "end": 1351.92, "word": " هدول", "probability": 0.86474609375}, {"start": 1351.92, "end": 1352.58, "word": " if", "probability": 0.56494140625}, {"start": 1352.58, "end": 1352.88, "word": " and", "probability": 0.916015625}, {"start": 1352.88, "end": 1353.18, "word": " only", "probability": 0.89208984375}, {"start": 1353.18, "end": 1353.62, "word": " if", "probability": 0.98095703125}, {"start": 1353.62, "end": 1354.32, "word": " أي", "probability": 0.473388671875}, {"start": 1354.32, "end": 1354.98, "word": " اتنين", "probability": 0.9503173828125}, {"start": 1354.98, "end": 1355.34, "word": " منهم", "probability": 0.9755859375}, {"start": 1355.34, "end": 1355.68, "word": " بدهم", "probability": 0.489013671875}, 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اتنين اكستيرنا ال product لزد ستة اكستيرنا ال product لمن؟ لزد خمسة ليش؟ since اتنين and التلاتة are", "tokens": [1829, 3555, 4587, 7578, 29538, 307, 32702, 299, 32767, 9957, 22807, 5296, 11622, 3215, 1975, 2655, 1863, 9957, 9122, 15042, 39896, 5296, 11622, 3215, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 2655, 13546, 8315, 2423, 1674, 5296, 11622, 3215, 8608, 2655, 3660, 1975, 4117, 14851, 13546, 8315, 2423, 1674, 5296, 27842, 22807, 5296, 11622, 3215, 16490, 2304, 3794, 3660, 32239, 8592, 22807, 1670, 1975, 2655, 1863, 9957, 293, 16712, 1211, 9307, 3660, 366], "avg_logprob": -0.21727195382118225, "compression_ratio": 1.7007299270072993, "no_speech_prob": 0.0, "words": [{"start": 1423.4, "end": 1424.06, "word": "يبقى", "probability": 0.931884765625}, {"start": 1424.06, "end": 1424.58, "word": " هذه", "probability": 0.78759765625}, {"start": 1424.58, "end": 1426.46, "word": " isomorphic", "probability": 0.8763020833333334}, {"start": 1426.46, "end": 1427.42, "word": " لمين؟", 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"seek": 146449, "start": 1451.43, "end": 1464.49, "text": "relatively prime طيب ..الان هذى بدي اجيب كمان group اخرى isomorphic لها", "tokens": [4419, 19020, 5835, 23032, 1829, 3555, 4386, 6027, 7649, 8032, 8848, 7578, 4724, 16254, 1975, 7435, 1829, 3555, 9122, 2304, 7649, 1594, 1975, 34740, 7578, 307, 32702, 299, 5296, 11296], "avg_logprob": -0.4422883064516129, "compression_ratio": 1.010204081632653, "no_speech_prob": 0.0, "words": [{"start": 1451.43, "end": 1453.19, "word": "relatively", "probability": 0.4981689453125}, {"start": 1453.19, "end": 1455.49, "word": " prime", "probability": 0.697265625}, {"start": 1455.49, "end": 1457.93, "word": " طيب", "probability": 0.7155354817708334}, {"start": 1457.93, "end": 1459.55, "word": " ..الان", "probability": 0.4959716796875}, {"start": 1459.55, "end": 1460.25, "word": " هذى", "probability": 0.4224446614583333}, {"start": 1460.25, "end": 1460.73, "word": " بدي", "probability": 0.5723876953125}, {"start": 1460.73, "end": 1461.03, "word": " 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0.79248046875}, {"start": 1610.16, "end": 1610.6, "word": " prime", "probability": 0.93994140625}, {"start": 1610.6, "end": 1611.04, "word": " بنفس", "probability": 0.972412109375}, {"start": 1611.04, "end": 1611.62, "word": " النظرية", "probability": 0.96240234375}, {"start": 1611.62, "end": 1611.76, "word": " اللي", "probability": 0.9208984375}, {"start": 1611.76, "end": 1611.92, "word": " هي", "probability": 0.54736328125}, {"start": 1611.92, "end": 1612.22, "word": " قبل", "probability": 0.997314453125}, {"start": 1612.22, "end": 1612.7, "word": " قليل", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 64, "seek": 163741, "start": 1613.33, "end": 1637.41, "text": "يبقى بناءً عليه هذه بقدر أقول بدل ما هي z6 بدي أقول عليها z3 external by-product مع z2 external by-product مع z5 طيب هذه isomorphic لمن؟ طلعلي لهذه relatively prime", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 14111, 47356, 29538, 4724, 28543, 2288, 5551, 39648, 47525, 1211, 19446, 39896, 710, 21, 4724, 16254, 5551, 39648, 25894, 11296, 710, 18, 8320, 538, 12, 33244, 20449, 710, 17, 8320, 538, 12, 33244, 20449, 710, 20, 23032, 1829, 3555, 29538, 307, 32702, 299, 5296, 27842, 22807, 23032, 1211, 3615, 20292, 46740, 24192, 7226, 5835], "avg_logprob": -0.34554303669538655, "compression_ratio": 1.4285714285714286, "no_speech_prob": 0.0, "words": [{"start": 1613.33, "end": 1613.81, "word": "يبقى", "probability": 0.656402587890625}, {"start": 1613.81, "end": 1614.37, "word": " بناءً", "probability": 0.5135498046875}, {"start": 1614.37, "end": 1614.69, "word": " عليه", "probability": 0.51318359375}, {"start": 1614.69, "end": 1615.15, "word": " هذه", "probability": 0.78662109375}, {"start": 1615.15, "end": 1615.63, "word": " بقدر", "probability": 0.7361653645833334}, {"start": 1615.63, "end": 1615.83, "word": " أقول", "probability": 0.74853515625}, {"start": 1615.83, "end": 1616.21, "word": " بدل", "probability": 0.953369140625}, {"start": 1616.21, "end": 1616.35, "word": " ما", "probability": 0.77978515625}, {"start": 1616.35, "end": 1616.53, "word": " هي", "probability": 0.8154296875}, {"start": 1616.53, "end": 1617.17, "word": " z6", "probability": 0.615966796875}, {"start": 1617.17, "end": 1617.51, "word": " بدي", "probability": 0.482666015625}, {"start": 1617.51, "end": 1617.97, "word": " أقول", "probability": 0.9375}, {"start": 1617.97, "end": 1618.71, "word": " عليها", "probability": 0.964599609375}, {"start": 1618.71, "end": 1620.21, "word": " z3", "probability": 0.91064453125}, {"start": 1620.21, "end": 1621.31, "word": " external", "probability": 0.56103515625}, {"start": 1621.31, "end": 1621.67, "word": " by", "probability": 0.443603515625}, {"start": 1621.67, "end": 1622.31, "word": "-product", "probability": 0.614990234375}, {"start": 1622.31, "end": 1622.65, "word": " مع", "probability": 0.92919921875}, {"start": 1622.65, "end": 1623.61, "word": " z2", "probability": 0.972900390625}, {"start": 1623.61, "end": 1624.45, "word": " external", "probability": 0.55419921875}, {"start": 1624.45, "end": 1624.81, "word": " by", "probability": 0.90185546875}, {"start": 1624.81, "end": 1625.41, "word": "-product", "probability": 0.933349609375}, {"start": 1625.41, "end": 1625.69, "word": " مع", "probability": 0.9755859375}, {"start": 1625.69, "end": 1626.43, "word": " z5", "probability": 0.99072265625}, {"start": 1626.43, "end": 1628.93, "word": " طيب", "probability": 0.91845703125}, {"start": 1628.93, "end": 1629.95, "word": " هذه", "probability": 0.5302734375}, {"start": 1629.95, "end": 1631.95, "word": " isomorphic", "probability": 0.85205078125}, {"start": 1631.95, "end": 1633.63, "word": " لمن؟", "probability": 0.621337890625}, {"start": 1633.63, "end": 1634.17, "word": " طلعلي", "probability": 0.808349609375}, {"start": 1634.17, "end": 1634.73, "word": " لهذه", "probability": 0.7509765625}, {"start": 1634.73, "end": 1636.79, "word": " relatively", "probability": 0.27490234375}, {"start": 1636.79, "end": 1637.41, "word": " prime", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 65, "seek": 166775, "start": 1638.51, "end": 1667.75, "text": "يبقى هذول الـ Z6 External Direct Product مع Z2 External Direct Product مع Z5 يبقى هذه جروب جديدة بدي أطلع كمان جروب تاني يبقى هذه isomorphic كمان لمين؟ لـ Z6 External Direct Product 2 5 يبقى مع Z10", "tokens": [1829, 3555, 4587, 7578, 8032, 8848, 12610, 2423, 39184, 1176, 21, 48277, 413, 11890, 22005, 20449, 1176, 17, 48277, 18308, 22005, 20449, 1176, 20, 7251, 3555, 4587, 7578, 29538, 10874, 32887, 3555, 10874, 16254, 41891, 4724, 16254, 5551, 9566, 1211, 3615, 9122, 2304, 7649, 10874, 32887, 3555, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 29538, 307, 32702, 299, 9122, 2304, 7649, 32767, 9957, 22807, 5296, 39184, 1176, 21, 48277, 18308, 22005, 568, 1025, 7251, 3555, 4587, 7578, 20449, 1176, 3279], "avg_logprob": -0.25790894473040543, "compression_ratio": 1.7371794871794872, "no_speech_prob": 0.0, "words": [{"start": 1638.51, "end": 1639.03, "word": "يبقى", "probability": 0.87060546875}, {"start": 1639.03, "end": 1639.41, "word": " هذول", "probability": 0.63427734375}, {"start": 1639.41, "end": 1639.63, "word": " الـ", "probability": 0.406982421875}, {"start": 1639.63, "end": 1641.49, "word": " Z6", "probability": 0.4974365234375}, {"start": 1641.49, "end": 1642.45, "word": " External", "probability": 0.4580078125}, {"start": 1642.45, "end": 1642.81, "word": " Direct", "probability": 0.53778076171875}, {"start": 1642.81, "end": 1643.51, "word": " Product", "probability": 0.8642578125}, {"start": 1643.51, "end": 1644.33, "word": " مع", "probability": 0.80712890625}, {"start": 1644.33, "end": 1645.63, "word": " Z2", "probability": 0.891845703125}, {"start": 1645.63, "end": 1646.49, "word": " External", "probability": 0.96484375}, {"start": 1646.49, "end": 1646.87, "word": " Direct", "probability": 0.80126953125}, {"start": 1646.87, "end": 1647.55, "word": " Product", "probability": 0.91650390625}, {"start": 1647.55, "end": 1648.13, "word": " مع", "probability": 0.9267578125}, {"start": 1648.13, "end": 1648.93, "word": " Z5", "probability": 0.974365234375}, {"start": 1648.93, "end": 1649.93, "word": " يبقى", "probability": 0.9603271484375}, {"start": 1649.93, "end": 1650.23, "word": " هذه", "probability": 0.572265625}, {"start": 1650.23, "end": 1650.61, "word": " جروب", "probability": 0.710205078125}, {"start": 1650.61, "end": 1651.13, "word": " جديدة", "probability": 0.9435221354166666}, {"start": 1651.13, "end": 1652.23, "word": " بدي", "probability": 0.3966064453125}, {"start": 1652.23, "end": 1652.63, "word": " أطلع", "probability": 0.8931884765625}, {"start": 1652.63, "end": 1652.99, "word": " كمان", "probability": 0.8414713541666666}, {"start": 1652.99, "end": 1653.37, "word": " جروب", "probability": 0.923828125}, {"start": 1653.37, "end": 1653.89, "word": " تاني", "probability": 0.8727213541666666}, {"start": 1653.89, "end": 1655.17, "word": " يبقى", "probability": 0.9813232421875}, {"start": 1655.17, "end": 1655.61, "word": " هذه", "probability": 0.88671875}, {"start": 1655.61, "end": 1657.13, "word": " isomorphic", "probability": 0.7254231770833334}, {"start": 1657.13, "end": 1657.57, "word": " كمان", "probability": 0.9567057291666666}, {"start": 1657.57, "end": 1659.09, "word": " لمين؟", "probability": 0.6668294270833334}, {"start": 1659.09, "end": 1659.43, "word": " لـ", "probability": 0.720458984375}, {"start": 1659.43, "end": 1660.51, "word": " Z6", "probability": 0.8837890625}, {"start": 1660.51, "end": 1662.11, "word": " External", "probability": 0.978515625}, {"start": 1662.11, "end": 1662.79, "word": " Direct", "probability": 0.78125}, {"start": 1662.79, "end": 1663.57, "word": " Product", "probability": 0.91064453125}, {"start": 1663.57, "end": 1664.25, "word": " 2", "probability": 0.74755859375}, {"start": 1664.25, "end": 1664.81, "word": " 5", "probability": 0.51806640625}, {"start": 1664.81, "end": 1665.77, "word": " يبقى", "probability": 0.947021484375}, {"start": 1665.77, "end": 1666.27, "word": " مع", "probability": 0.9716796875}, {"start": 1666.27, "end": 1667.75, "word": " Z10", "probability": 0.93359375}], "temperature": 1.0}, {"id": 66, "seek": 168712, "start": 1668.62, "end": 1687.12, "text": "ليش؟ لأنه الستة والخمسة are .. لأنه الاتنين والخمسة are relatively prime يبقى هذا sense اتنين and خمسة are relatively prime", "tokens": [20292, 8592, 22807, 5296, 33456, 3224, 2423, 14851, 3660, 16070, 9778, 2304, 3794, 3660, 366, 4386, 5296, 33456, 3224, 2423, 9307, 1863, 9957, 16070, 9778, 2304, 3794, 3660, 366, 7226, 5835, 7251, 3555, 4587, 7578, 23758, 2020, 1975, 2655, 1863, 9957, 293, 16490, 2304, 3794, 3660, 366, 7226, 5835], "avg_logprob": -0.22531250208616257, "compression_ratio": 1.5391304347826087, "no_speech_prob": 0.0, "words": [{"start": 1668.62, "end": 1669.74, "word": "ليش؟", "probability": 0.68603515625}, {"start": 1669.74, "end": 1670.32, "word": " لأنه", "probability": 0.6678873697916666}, {"start": 1670.32, "end": 1671.0, "word": " الستة", "probability": 0.48095703125}, {"start": 1671.0, "end": 1672.3, "word": " والخمسة", "probability": 0.9076171875}, {"start": 1672.3, "end": 1672.86, "word": " are", "probability": 0.56640625}, {"start": 1672.86, "end": 1673.24, "word": " ..", "probability": 0.400146484375}, {"start": 1673.24, "end": 1673.82, "word": " لأنه", "probability": 0.8541666666666666}, {"start": 1673.82, "end": 1674.9, "word": " الاتنين", "probability": 0.8175048828125}, {"start": 1674.9, "end": 1675.58, "word": " والخمسة", "probability": 0.96806640625}, {"start": 1675.58, "end": 1675.8, "word": " are", "probability": 0.90966796875}, {"start": 1675.8, "end": 1676.32, "word": " relatively", "probability": 0.81640625}, {"start": 1676.32, "end": 1676.9, "word": " prime", "probability": 0.85986328125}, {"start": 1676.9, "end": 1677.68, "word": " يبقى", "probability": 0.954833984375}, {"start": 1677.68, "end": 1678.02, "word": " هذا", "probability": 0.9521484375}, {"start": 1678.02, "end": 1678.88, "word": " sense", "probability": 0.45361328125}, {"start": 1678.88, "end": 1680.14, "word": " اتنين", "probability": 0.9063720703125}, {"start": 1680.14, "end": 1680.92, "word": " and", "probability": 0.93212890625}, {"start": 1680.92, "end": 1682.2, "word": " خمسة", "probability": 0.990966796875}, {"start": 1682.2, "end": 1682.84, "word": " are", "probability": 0.96435546875}, {"start": 1682.84, "end": 1684.96, "word": " relatively", "probability": 0.90625}, {"start": 1684.96, "end": 1687.12, "word": " prime", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 67, "seek": 170834, "start": 1687.94, "end": 1708.34, "text": "والخطوة الأولى اللى عندنا زد ستة لإنه اتنين و تلاتة relatively prime هذا كتبناه قبل قليل طب السؤال هو هل هذه isomorphic لزد ستين ما يفيها ستين عنصر طبعا لأ السبب because", "tokens": [2407, 6027, 9778, 9566, 2407, 3660, 16247, 12610, 7578, 13672, 7578, 43242, 8315, 30767, 3215, 8608, 2655, 3660, 5296, 28814, 1863, 3224, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 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لإنه", "probability": 0.69134521484375}, {"start": 1691.8, "end": 1692.02, "word": " اتنين", "probability": 0.9073486328125}, {"start": 1692.02, "end": 1692.16, "word": " و", "probability": 0.83203125}, {"start": 1692.16, "end": 1692.58, "word": " تلاتة", "probability": 0.894775390625}, {"start": 1692.58, "end": 1692.88, "word": " relatively", "probability": 0.1617431640625}, {"start": 1692.88, "end": 1693.38, "word": " prime", "probability": 0.83056640625}, {"start": 1693.38, "end": 1693.6, "word": " هذا", "probability": 0.12213134765625}, {"start": 1693.6, "end": 1694.3, "word": " كتبناه", "probability": 0.93603515625}, {"start": 1694.3, "end": 1694.84, "word": " قبل", "probability": 0.99169921875}, {"start": 1694.84, "end": 1695.48, "word": " قليل", "probability": 0.9729817708333334}, {"start": 1695.48, "end": 1696.1, "word": " طب", "probability": 0.68603515625}, {"start": 1696.1, "end": 1696.64, "word": " السؤال", "probability": 0.9943033854166666}, {"start": 1696.64, "end": 1697.0, "word": " هو", "probability": 0.923828125}, {"start": 1697.0, "end": 1697.94, "word": " هل", "probability": 0.965576171875}, {"start": 1697.94, "end": 1698.66, "word": " هذه", "probability": 0.6015625}, {"start": 1698.66, "end": 1700.6, "word": " isomorphic", "probability": 0.8001302083333334}, {"start": 1700.6, "end": 1701.6, "word": " لزد", "probability": 0.9161783854166666}, {"start": 1701.6, "end": 1702.52, "word": " ستين", "probability": 0.9794921875}, {"start": 1702.52, "end": 1703.48, "word": " ما", "probability": 0.5791015625}, {"start": 1703.48, "end": 1703.86, "word": " يفيها", "probability": 0.5635579427083334}, {"start": 1703.86, "end": 1704.3, "word": " ستين", "probability": 0.9703776041666666}, {"start": 1704.3, "end": 1704.8, "word": " عنصر", "probability": 0.8113606770833334}, {"start": 1704.8, "end": 1705.76, "word": " طبعا", "probability": 0.9481201171875}, {"start": 1705.76, "end": 1706.34, "word": " لأ", "probability": 0.85205078125}, {"start": 1706.34, 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subgroup نذكره لأنه بدنا نبني الشغل عليه definition تعريف يقول if ال K is a divisor of N if ال K is a divisor of N لو كان ال K قاسم لل N و", "tokens": [41185, 34105, 37279, 16572, 5172, 5551, 9778, 3215, 8315, 3224, 8608, 16758, 4587, 995, 8978, 7187, 295, 1422, 17377, 8717, 8848, 37983, 3224, 5296, 33456, 3224, 47525, 8315, 8717, 3555, 22653, 25124, 17082, 1211, 47356, 7123, 37279, 16572, 5172, 7251, 39648, 498, 2423, 591, 307, 257, 25974, 284, 295, 426, 498, 2423, 591, 307, 257, 25974, 284, 295, 426, 45164, 25961, 2423, 591, 12174, 32277, 2304, 24976, 426, 4032], "avg_logprob": -0.2899553430931909, "compression_ratio": 1.4853801169590644, "no_speech_prob": 0.0, "words": [{"start": 1798.55, "end": 1798.79, "word": "في", "probability": 0.323974609375}, {"start": 1798.79, "end": 1798.95, "word": " هنا", "probability": 0.1121826171875}, {"start": 1798.95, "end": 1799.39, "word": " تعريف", "probability": 0.9713541666666666}, {"start": 1799.39, "end": 1800.01, "word": " أخدناه", 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ما", "probability": 0.90478515625}, {"start": 2205.25, "end": 2205.93, "word": " يأتي", "probability": 0.810546875}, {"start": 2205.93, "end": 2207.35, "word": " IRM", "probability": 0.7220458984375}], "temperature": 1.0}, {"id": 89, "seek": 223848, "start": 2212.33, "end": 2238.49, "text": "theorem suppose that suppose that ان ال S and T ال S and T are relatively prime are relatively prime", "tokens": [3322, 37956, 7297, 300, 7297, 300, 16472, 2423, 318, 293, 314, 2423, 318, 293, 314, 366, 7226, 5835, 366, 7226, 5835], "avg_logprob": -0.381747153672305, "compression_ratio": 1.536231884057971, "no_speech_prob": 0.0, "words": [{"start": 2212.33, "end": 2213.73, "word": "theorem", "probability": 0.520843505859375}, {"start": 2213.73, "end": 2215.13, "word": " suppose", "probability": 0.425048828125}, {"start": 2215.13, "end": 2216.91, "word": " that", "probability": 0.93017578125}, {"start": 2216.91, "end": 2219.25, "word": " suppose", "probability": 0.393798828125}, {"start": 2219.25, 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"probability": 0.9013671875}, {"start": 2232.71, "end": 2234.23, "word": " are", "probability": 0.79150390625}, {"start": 2234.23, "end": 2236.31, "word": " relatively", "probability": 0.88330078125}, {"start": 2236.31, "end": 2238.49, "word": " prime", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 90, "seek": 226837, "start": 2240.29, "end": 2268.37, "text": "are relatively prime then then ال U S T ال U S T isomorphic لل U S external product مع مين مع U T", "tokens": [543, 7226, 5835, 550, 550, 2423, 624, 318, 314, 2423, 624, 318, 314, 307, 32702, 299, 24976, 624, 318, 8320, 1674, 20449, 3714, 9957, 20449, 624, 314], "avg_logprob": -0.37388393921511515, "compression_ratio": 1.1827956989247312, "no_speech_prob": 0.0, "words": [{"start": 2240.29, "end": 2240.67, "word": "are", "probability": 0.328369140625}, {"start": 2240.67, "end": 2241.25, "word": " relatively", "probability": 0.8115234375}, {"start": 2241.25, "end": 2241.83, "word": " prime", "probability": 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"start": 2351.58, "end": 2368.86, "text": "الـ UM ايزو مورفك لمن؟ لل U N 1 اكستاناضايك برودك مع U N 2 اكستاناضايك برودك مع مين؟ مع U N K بالشكل اللي عندنا هنا", "tokens": [6027, 39184, 31335, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 27842, 22807, 24976, 624, 426, 502, 1975, 4117, 14851, 7649, 46958, 47302, 4117, 4724, 2288, 23328, 4117, 20449, 624, 426, 568, 1975, 4117, 14851, 7649, 46958, 47302, 4117, 4724, 2288, 23328, 4117, 20449, 3714, 9957, 22807, 20449, 624, 426, 591, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.3939549160785362, "compression_ratio": 1.5950413223140496, "no_speech_prob": 0.0, "words": [{"start": 2351.58, "end": 2352.02, "word": "الـ", "probability": 0.404052734375}, {"start": 2352.02, "end": 2352.74, "word": " UM", "probability": 0.4453125}, {"start": 2352.74, "end": 2354.18, "word": " ايزو", "probability": 0.67071533203125}, {"start": 2354.18, "end": 2354.96, "word": " مورفك", "probability": 0.799072265625}, {"start": 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رقمين S وT are relatively prime then ال U S T يبقى ال group اللي عندنا ال U S T isomorphic لل externa تاكرودك تبقى حاصل الضرب زي ايش مثلا لو قلتلك U خمستاشر", "tokens": [2304, 25720, 6055, 7649, 10632, 4724, 39648, 4724, 39648, 45164, 43242, 4117, 12602, 4587, 2304, 9957, 318, 4032, 51, 366, 7226, 5835, 550, 2423, 624, 318, 314, 7251, 3555, 4587, 7578, 2423, 1594, 13672, 1829, 43242, 8315, 2423, 624, 318, 314, 307, 32702, 299, 24976, 454, 391, 629, 6055, 995, 37983, 23328, 4117, 6055, 3555, 4587, 7578, 11331, 33546, 1211, 6024, 114, 25513, 30767, 1829, 1975, 1829, 8592, 50113, 15040, 45164, 12174, 1211, 2655, 23275, 624, 16490, 2304, 14851, 33599, 2288], "avg_logprob": -0.29687499600212747, "compression_ratio": 1.4526315789473685, "no_speech_prob": 0.0, "words": [{"start": 2382.06, "end": 2382.46, "word": "مرة", "probability": 0.835205078125}, {"start": 2382.46, "end": 2382.74, "word": " تانية", "probability": 0.9524739583333334}, {"start": 2382.74, "end": 2383.22, "word": " بقول", 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