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{"start": 537.43, "end": 537.87, "word": " الواحد", "probability": 0.9026692708333334}, {"start": 537.87, "end": 538.65, "word": " اختار", "probability": 0.9376627604166666}, {"start": 538.65, "end": 538.77, "word": " ال", "probability": 0.93603515625}, {"start": 538.77, "end": 538.91, "word": " P", "probability": 0.77783203125}, {"start": 538.91, "end": 541.27, "word": " بـPrime", "probability": 0.5217437744140625}, {"start": 541.27, "end": 542.53, "word": " هتاخد", "probability": 0.615692138671875}, {"start": 542.53, "end": 542.91, "word": " مين", "probability": 0.517303466796875}, {"start": 542.91, "end": 543.27, "word": " أن", "probability": 0.2587890625}, {"start": 543.27, "end": 543.61, "word": " بدأت", "probability": 0.77734375}, {"start": 543.61, "end": 543.97, "word": " تساوي", "probability": 0.91064453125}, {"start": 543.97, "end": 544.81, "word": " تنين", "probability": 0.713134765625}, {"start": 544.81, "end": 544.97, "word": " to", "probability": 0.521484375}, {"start": 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minus كيف؟ اه وانا هي اللي حلته قدامك", "tokens": [2278, 297, 1422, 17377, 82, 366, 10833, 538, 502, 11, 10833, 538, 568, 11, 10833, 538, 1017, 11, 10833, 538, 1649, 5296, 33456, 10833, 538, 568, 5551, 10859, 3794, 297, 3175, 502, 4032, 7649, 2655, 39894, 8592, 17082, 1211, 8978, 3714, 9957, 22807, 8978, 710, 568, 5551, 10859, 3794, 297, 3175, 9122, 33911, 22807, 1975, 3224, 4032, 7649, 995, 39896, 13672, 1829, 11331, 1211, 47395, 12174, 3215, 10943, 4117], "avg_logprob": -0.3354910612106323, "compression_ratio": 1.5128205128205128, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 592.16, "end": 592.48, "word": "The", "probability": 0.205810546875}, {"start": 592.48, "end": 592.8, "word": " n", "probability": 0.39306640625}, {"start": 592.8, "end": 595.48, "word": " subgroups", "probability": 0.80419921875}, {"start": 595.48, "end": 596.78, "word": " are", "probability": 0.826171875}, {"start": 596.78, "end": 597.64, "word": " generated", "probability": 0.6982421875}, 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الأعداد أنا مطلوب مني أدور على رقم الو N من القواسم أي P to N minus واحد الو N من القواسم احصل حالك في prime واحد تمشي و بتجيب المطلوب واضح؟ مش واضح؟", "tokens": [10721, 8315, 37893, 12602, 995, 33753, 8592, 11331, 26108, 3660, 11203, 995, 28671, 8978, 8717, 19913, 2288, 10632, 16247, 22488, 18513, 41850, 3714, 9566, 1211, 37746, 9154, 1829, 5551, 3215, 13063, 15844, 12602, 4587, 2304, 2423, 2407, 426, 9154, 25062, 14407, 38251, 36632, 430, 281, 426, 3175, 36764, 24401, 2423, 2407, 426, 9154, 25062, 14407, 38251, 1975, 5016, 36520, 11331, 6027, 4117, 8978, 5835, 36764, 24401, 46811, 8592, 1829, 4032, 39894, 7435, 1829, 3555, 9673, 9566, 1211, 37746, 4032, 46958, 5016, 22807, 37893, 4032, 46958, 5016, 22807], "avg_logprob": -0.21004971472377126, "compression_ratio": 1.7359550561797752, "no_speech_prob": 0.0, "words": [{"start": 622.18, "end": 622.44, "word": "أنا", "probability": 0.801025390625}, {"start": 622.44, "end": 622.56, "word": " مش", "probability": 0.59375}, {"start": 622.56, 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{"start": 1513.42, "end": 1513.48, "word": " ال", "probability": 0.8515625}, {"start": 1513.48, "end": 1513.72, "word": " order", "probability": 0.97607421875}, {"start": 1513.72, "end": 1514.14, "word": " تلاتة", "probability": 0.89453125}, {"start": 1514.14, "end": 1514.44, "word": " فايل", "probability": 0.6646321614583334}, {"start": 1514.44, "end": 1515.1, "word": " تلاتة", "probability": 0.983642578125}, {"start": 1515.1, "end": 1515.94, "word": " العناصر", "probability": 0.970458984375}, {"start": 1515.94, "end": 1516.06, "word": " اللي", "probability": 0.9873046875}, {"start": 1516.06, "end": 1516.14, "word": " ال", "probability": 0.9765625}, {"start": 1516.14, "end": 1516.38, "word": " order", "probability": 0.97314453125}, {"start": 1516.38, "end": 1516.86, "word": " خمسة", "probability": 0.973876953125}, {"start": 1516.86, "end": 1517.18, "word": " فايل", "probability": 0.9622395833333334}, {"start": 1517.18, "end": 1517.84, "word": " خمسة", "probability": 0.990478515625}, {"start": 1517.84, "end": 1518.78, "word": " والعناصر", "probability": 0.8794921875}, {"start": 1518.78, "end": 1518.92, "word": " اللي", "probability": 0.989501953125}, {"start": 1518.92, "end": 1519.0, "word": " ال", "probability": 0.96923828125}, {"start": 1519.0, "end": 1519.2, "word": " order", "probability": 0.97412109375}, {"start": 1519.2, "end": 1519.6, "word": " خمس", "probability": 0.96533203125}, {"start": 1519.6, "end": 1520.02, "word": " عشر", "probability": 0.902587890625}, {"start": 1520.02, "end": 1521.22, "word": " فايل", "probability": 0.9147135416666666}, {"start": 1521.22, "end": 1521.6, "word": " خمس", "probability": 0.9720052083333334}, {"start": 1521.6, "end": 1522.02, "word": " عشر", "probability": 0.934814453125}, {"start": 1522.02, "end": 1523.2, "word": " المحصلة", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 55, "seek": 155301, "start": 1524.05, "end": 1553.01, "text": "واحد زي اتنين زي اربعة زي اربعة ده عشر عنصر عشان تشتغل order بيسوي خمس عشر يعني اكسوس خمس عشر احنا جولنا يبناها بطريقة ال order اكسوس خمس عشر سواء ال identity بقى ال order يخسم الخمس عشر واحد و خمسين", "tokens": [14407, 24401, 30767, 1829, 1975, 2655, 1863, 9957, 30767, 1829, 1975, 25513, 27884, 30767, 1829, 1975, 25513, 27884, 11778, 3224, 6225, 46309, 18871, 9381, 2288, 6225, 8592, 7649, 6055, 8592, 2655, 17082, 1211, 1668, 4724, 1829, 3794, 45865, 16490, 2304, 3794, 6225, 46309, 37495, 22653, 1975, 4117, 3794, 41779, 16490, 2304, 3794, 6225, 46309, 1975, 5016, 8315, 10874, 12610, 8315, 7251, 3555, 8315, 11296, 4724, 9566, 16572, 28671, 2423, 1668, 1975, 4117, 3794, 41779, 16490, 2304, 3794, 6225, 46309, 8608, 2407, 16606, 2423, 6575, 4724, 4587, 7578, 2423, 1668, 7251, 9778, 38251, 33962, 2304, 3794, 6225, 46309, 36764, 24401, 4032, 16490, 2304, 3794, 9957], "avg_logprob": -0.3288690476190476, "compression_ratio": 1.9252873563218391, "no_speech_prob": 0.0, "words": [{"start": 1524.05, "end": 1524.53, "word": "واحد", "probability": 0.5266571044921875}, 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"probability": 0.9606119791666666}, {"start": 1549.43, "end": 1549.83, "word": " عشر", "probability": 0.95703125}, {"start": 1549.83, "end": 1552.57, "word": " واحد", "probability": 0.880126953125}, {"start": 1552.57, "end": 1552.63, "word": " و", "probability": 0.9609375}, {"start": 1552.63, "end": 1553.01, "word": " خمسين", "probability": 0.86004638671875}], "temperature": 1.0}, {"id": 56, "seek": 158134, "start": 1554.66, "end": 1581.34, "text": "عشان نرجع للسؤال رقم 51 no group can have exactly two elements of order تنين يعني لو في عنصرين ال order اللي لهم تنين ففي تالت لو في عنصرين ال order اللي لهم اتنين ففي تالت let J be a group with", "tokens": [3615, 8592, 7649, 8717, 47341, 3615, 24976, 3794, 33604, 6027, 12602, 4587, 2304, 18485, 572, 1594, 393, 362, 2293, 732, 4959, 295, 1668, 6055, 1863, 9957, 37495, 22653, 45164, 8978, 18871, 9381, 2288, 9957, 2423, 1668, 13672, 1829, 5296, 16095, 6055, 1863, 9957, 6156, 41185, 6055, 6027, 2655, 45164, 8978, 18871, 9381, 2288, 9957, 2423, 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{"start": 1844.48, "end": 1844.74, "word": " يسوى", "probability": 0.963134765625}, {"start": 1844.74, "end": 1844.84, "word": " ال", "probability": 0.95458984375}, {"start": 1844.84, "end": 1845.36, "word": " identity", "probability": 0.91748046875}, {"start": 1845.36, "end": 1846.1, "word": ",b", "probability": 0.64404296875}, {"start": 1846.1, "end": 1846.3, "word": " بدي", "probability": 0.95751953125}, {"start": 1846.3, "end": 1846.7, "word": " يسوى", "probability": 0.9849853515625}, {"start": 1846.7, "end": 1846.86, "word": " a", "probability": 0.85546875}, {"start": 1846.86, "end": 1847.24, "word": " inverse", "probability": 0.56201171875}, {"start": 1847.24, "end": 1847.46, "word": " بدي", "probability": 0.863037109375}, {"start": 1847.46, "end": 1847.84, "word": " يسوى", "probability": 0.9755859375}, {"start": 1847.84, "end": 1848.22, "word": " a", "probability": 0.96044921875}, {"start": 1848.22, "end": 1848.94, "word": ",b", "probability": 0.93017578125}, {"start": 1848.94, "end": 1849.14, "word": " بدي", "probability": 0.9853515625}, {"start": 1849.14, "end": 1849.52, "word": " يسوى", "probability": 0.9903564453125}, {"start": 1849.52, "end": 1849.92, "word": " a", "probability": 0.95947265625}, {"start": 1849.92, "end": 1851.74, "word": " تناقض", "probability": 0.80926513671875}, {"start": 1851.74, "end": 1853.02, "word": " if", "probability": 0.703125}, {"start": 1853.02, "end": 1854.36, "word": " a", "probability": 0.9453125}, {"start": 1854.36, "end": 1854.74, "word": ",b", "probability": 0.9892578125}, {"start": 1854.74, "end": 1855.08, "word": ",a", "probability": 0.99560546875}, {"start": 1855.08, "end": 1855.24, "word": " بدي", "probability": 0.857666015625}, {"start": 1855.24, "end": 1855.78, "word": " تسوى", "probability": 0.93359375}, {"start": 1855.78, "end": 1856.36, "word": " b", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 66, "seek": 188234, "start": 1865.48, "end": 1882.34, "text": "هذا معناته، مع أن النطق بيليان، مش ضروري أن ال A بي تسوى بيه A، ليش بقاش راح لازم أعمل، أنا فرضت أنه نمأ بيليان على مين؟", "tokens": [3224, 15730, 20449, 8315, 47395, 12399, 20449, 14739, 2423, 1863, 9566, 4587, 4724, 1829, 20292, 7649, 12399, 37893, 48812, 2288, 13063, 1829, 14739, 2423, 316, 4724, 1829, 6055, 3794, 2407, 7578, 4724, 1829, 3224, 316, 12399, 32239, 8592, 4724, 4587, 33599, 12602, 39319, 5296, 31377, 2304, 5551, 25957, 1211, 12399, 41850, 6156, 43042, 2655, 14739, 3224, 8717, 2304, 10721, 4724, 1829, 20292, 7649, 15844, 3714, 9957, 22807], "avg_logprob": -0.39108455181121826, "compression_ratio": 1.5588235294117647, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1865.48, "end": 1866.28, "word": "هذا", "probability": 0.695556640625}, {"start": 1866.28, "end": 1867.08, "word": " معناته،", "probability": 0.8138427734375}, {"start": 1867.08, "end": 1867.26, "word": " مع", "probability": 0.0960693359375}, {"start": 1867.26, "end": 1867.4, "word": " أن", "probability": 0.50634765625}, {"start": 1867.4, "end": 1867.82, "word": " النطق", "probability": 0.58184814453125}, {"start": 1867.82, "end": 1868.94, "word": " بيليان،", "probability": 0.648681640625}, {"start": 1868.94, "end": 1869.82, "word": " مش", "probability": 0.8837890625}, {"start": 1869.82, "end": 1870.22, "word": " ضروري", "probability": 0.957763671875}, {"start": 1870.22, "end": 1870.3, "word": " أن", "probability": 0.744140625}, {"start": 1870.3, "end": 1870.46, "word": " ال", "probability": 0.91650390625}, {"start": 1870.46, "end": 1870.64, "word": " A", "probability": 0.12469482421875}, {"start": 1870.64, "end": 1871.1, "word": " بي", "probability": 0.692626953125}, {"start": 1871.1, "end": 1871.82, "word": " تسوى", "probability": 0.67718505859375}, {"start": 1871.82, "end": 1872.1, "word": " بيه", "probability": 0.8017578125}, {"start": 1872.1, "end": 1874.94, "word": " A،", "probability": 0.56640625}, {"start": 1874.94, "end": 1875.38, "word": " ليش", "probability": 0.305908203125}, {"start": 1875.38, "end": 1875.64, "word": " بقاش", "probability": 0.7007649739583334}, {"start": 1875.64, "end": 1876.02, "word": " راح", "probability": 0.90771484375}, {"start": 1876.02, "end": 1877.06, "word": " لازم", "probability": 0.9833984375}, {"start": 1877.06, "end": 1880.0, "word": " أعمل،", "probability": 0.83740234375}, {"start": 1880.0, "end": 1880.18, "word": " أنا", "probability": 0.83203125}, {"start": 1880.18, "end": 1880.62, "word": " فرضت", "probability": 0.9617513020833334}, {"start": 1880.62, "end": 1880.86, "word": " أنه", "probability": 0.833984375}, {"start": 1880.86, "end": 1881.12, "word": " نمأ", "probability": 0.4513753255208333}, {"start": 1881.12, "end": 1881.46, "word": " بيليان", "probability": 0.9586181640625}, {"start": 1881.46, "end": 1881.64, "word": " على", "probability": 0.6689453125}, {"start": 1881.64, "end": 1882.34, "word": " مين؟", "probability": 0.9656575520833334}], "temperature": 1.0}, {"id": 67, "seek": 191138, "start": 1883.2, "end": 1911.38, "text": "ع الجيه كلها لما أنا بدي أجي أقول لها انا a b بتسوى بي a inverse بتسوى بي ايه يعني a b بتسوى بي ايه هذا لا يناقض انها non abelian هذا لا يناقض انها non abelian طيب بدأ أروح معناته أغير الفرض تبعي علشان يعطيني تناقض مع هذه الجملة بدل ما أقول جيه non abelian اش عمل", "tokens": [3615, 25724, 1829, 3224, 28242, 11296, 5296, 15042, 41850, 4724, 16254, 5551, 7435, 1829, 5551, 39648, 5296, 11296, 1975, 8315, 257, 272, 39894, 3794, 2407, 7578, 4724, 1829, 257, 17340, 39894, 3794, 2407, 7578, 4724, 1829, 1975, 1829, 3224, 37495, 22653, 257, 272, 39894, 3794, 2407, 7578, 4724, 1829, 1975, 1829, 3224, 23758, 20193, 7251, 8315, 4587, 11242, 16472, 11296, 2107, 410, 338, 952, 23758, 20193, 7251, 8315, 4587, 11242, 16472, 11296, 2107, 410, 338, 952, 23032, 1829, 3555, 47525, 10721, 5551, 32887, 5016, 20449, 8315, 47395, 5551, 17082, 13546, 27188, 43042, 6055, 3555, 3615, 1829, 11203, 8592, 7649, 37495, 9566, 9957, 1829, 6055, 8315, 4587, 11242, 20449, 29538, 25724, 2304, 37977, 47525, 1211, 19446, 5551, 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انا", "probability": 0.6353759765625}, {"start": 1885.58, "end": 1885.86, "word": " a", "probability": 0.399169921875}, {"start": 1885.86, "end": 1886.18, "word": " b", "probability": 0.39892578125}, {"start": 1886.18, "end": 1886.76, "word": " بتسوى", "probability": 0.4056396484375}, {"start": 1886.76, "end": 1887.18, "word": " بي", "probability": 0.721435546875}, {"start": 1887.18, "end": 1887.42, "word": " a", "probability": 0.42041015625}, {"start": 1887.42, "end": 1887.96, "word": " inverse", "probability": 0.87060546875}, {"start": 1887.96, "end": 1888.54, "word": " بتسوى", "probability": 0.9425048828125}, {"start": 1888.54, "end": 1888.78, "word": " بي", "probability": 0.882080078125}, {"start": 1888.78, "end": 1889.08, "word": " ايه", "probability": 0.76806640625}, {"start": 1889.08, "end": 1889.9, "word": " يعني", "probability": 0.775146484375}, {"start": 1889.9, "end": 1890.2, "word": " a", "probability": 0.91943359375}, {"start": 1890.2, "end": 1890.46, "word": " b", 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"probability": 0.85888671875}, {"start": 1904.06, "end": 1904.48, "word": " تناقض", "probability": 0.987060546875}, {"start": 1904.48, "end": 1904.64, "word": " مع", "probability": 0.9912109375}, {"start": 1904.64, "end": 1904.9, "word": " هذه", "probability": 0.98046875}, {"start": 1904.9, "end": 1905.36, "word": " الجملة", "probability": 0.9510091145833334}, {"start": 1905.36, "end": 1907.42, "word": " بدل", "probability": 0.98974609375}, {"start": 1907.42, "end": 1907.54, "word": " ما", "probability": 0.79296875}, {"start": 1907.54, "end": 1907.8, "word": " أقول", "probability": 0.78564453125}, {"start": 1907.8, "end": 1908.1, "word": " جيه", "probability": 0.9210611979166666}, {"start": 1908.1, "end": 1908.26, "word": " non", "probability": 0.947265625}, {"start": 1908.26, "end": 1908.92, "word": " abelian", "probability": 0.966796875}, {"start": 1908.92, "end": 1910.96, "word": " اش", "probability": 0.575927734375}, {"start": 1910.96, "end": 1911.38, "word": " عمل", "probability": 0.904296875}], "temperature": 1.0}, {"id": 68, "seek": 194026, "start": 1913.24, "end": 1940.26, "text": "AB لا يساوي BA عشان هذه تصير تناقض مين؟ هذه وبالتالي صارت تناقض so ABA is another element with order 2 in J so we have", "tokens": [13868, 20193, 7251, 3794, 995, 45865, 21050, 6225, 8592, 7649, 29538, 6055, 9381, 13546, 6055, 8315, 4587, 11242, 3714, 9957, 22807, 29538, 46599, 6027, 2655, 6027, 1829, 20328, 9640, 2655, 6055, 8315, 4587, 11242, 370, 316, 9295, 307, 1071, 4478, 365, 1668, 568, 294, 508, 370, 321, 362], "avg_logprob": -0.2881058576155682, "compression_ratio": 1.1870503597122302, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1913.24, "end": 1913.76, "word": "AB", "probability": 0.10272216796875}, {"start": 1913.76, "end": 1915.06, "word": " لا", "probability": 0.66748046875}, {"start": 1915.06, "end": 1915.76, "word": " يساوي", "probability": 0.9197998046875}, {"start": 1915.76, "end": 1916.18, "word": " BA", "probability": 0.5126953125}, {"start": 1916.18, "end": 1917.04, "word": " عشان", "probability": 0.89892578125}, {"start": 1917.04, "end": 1917.28, "word": " هذه", "probability": 0.66552734375}, {"start": 1917.28, "end": 1917.54, "word": " تصير", "probability": 0.7173665364583334}, {"start": 1917.54, "end": 1917.96, "word": " تناقض", "probability": 0.9444580078125}, {"start": 1917.96, "end": 1919.38, "word": " مين؟", "probability": 0.5793863932291666}, {"start": 1919.38, "end": 1920.08, "word": " هذه", "probability": 0.47900390625}, {"start": 1920.08, "end": 1921.32, "word": " وبالتالي", "probability": 0.92529296875}, {"start": 1921.32, "end": 1921.64, "word": " صارت", "probability": 0.8929036458333334}, {"start": 1921.64, "end": 1922.18, "word": " تناقض", "probability": 0.96044921875}, {"start": 1922.18, "end": 1923.6, "word": " so", "probability": 0.18408203125}, {"start": 1923.6, "end": 1925.12, "word": " ABA", "probability": 0.792724609375}, {"start": 1925.12, "end": 1926.0, "word": " is", "probability": 0.87890625}, {"start": 1926.0, "end": 1927.04, "word": " another", "probability": 0.94482421875}, {"start": 1927.04, "end": 1929.32, "word": " element", "probability": 0.9501953125}, {"start": 1929.32, "end": 1933.04, "word": " with", "probability": 0.86865234375}, {"start": 1933.04, "end": 1933.76, "word": " order", "probability": 0.93115234375}, {"start": 1933.76, "end": 1935.78, "word": " 2", "probability": 0.5400390625}, {"start": 1935.78, "end": 1936.82, "word": " in", "probability": 0.857421875}, {"start": 1936.82, "end": 1937.12, "word": " J", "probability": 0.744140625}, {"start": 1937.12, "end": 1938.2, "word": " so", "probability": 0.64599609375}, {"start": 1938.2, "end": 1939.7, "word": " we", "probability": 0.904296875}, {"start": 1939.7, "end": 1940.26, "word": " have", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 69, "seek": 196821, "start": 1941.37, "end": 1968.21, "text": "At least كم واحد؟ الـ three elements in J with order تنين خلصنا؟ لأ أنا الحالة اللي ال A,B لا يساوي بيه A أنهيتها طب الحالة التانية لما ال A,B يساوي بيه اتفضل", "tokens": [18684, 1935, 9122, 2304, 36764, 24401, 22807, 2423, 39184, 1045, 4959, 294, 508, 365, 1668, 6055, 1863, 9957, 16490, 1211, 9381, 8315, 22807, 5296, 10721, 41850, 21542, 6027, 3660, 13672, 1829, 2423, 316, 11, 33, 20193, 7251, 3794, 995, 45865, 4724, 1829, 3224, 316, 14739, 3224, 36081, 11296, 23032, 3555, 21542, 6027, 3660, 16712, 7649, 10632, 5296, 15042, 2423, 316, 11, 33, 7251, 3794, 995, 45865, 4724, 1829, 3224, 1975, 2655, 5172, 11242, 1211], "avg_logprob": -0.2856250015894572, "compression_ratio": 1.4497041420118344, "no_speech_prob": 0.0, "words": [{"start": 1941.37, "end": 1941.73, "word": "At", "probability": 0.360595703125}, {"start": 1941.73, "end": 1942.55, "word": " least", "probability": 0.93505859375}, {"start": 1942.55, "end": 1943.49, "word": " كم", "probability": 0.826904296875}, {"start": 1943.49, "end": 1946.11, "word": " واحد؟", "probability": 0.8080240885416666}, {"start": 1946.11, 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