diff --git "a/PL9fwy3NUQKwb1GEXKToPBRkVqqPyEiz9Z/T1Jiw040RUs_raw.json" "b/PL9fwy3NUQKwb1GEXKToPBRkVqqPyEiz9Z/T1Jiw040RUs_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwb1GEXKToPBRkVqqPyEiz9Z/T1Jiw040RUs_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4970, "start": 21.04, "end": 49.7, "text": "بسم الله الرحمن الرحيم محاضرة رقم ستة و تلاتين مساق نظرية الاعداد طلاب قسم الرياضيات بالجامعة الإسلامية قسم الرياضيات بالجامعة الإسلامية كليتي العلوم والتربية المحاضرة اليوم رقم ستة و تلاتين اليوم هيكون عندنا مراجعة أو discussion", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 3714, 5016, 46958, 25720, 12602, 4587, 2304, 8608, 2655, 3660, 4032, 6055, 1211, 9307, 9957, 47524, 995, 4587, 8717, 19913, 2288, 10632, 42963, 22488, 18513, 23032, 15040, 3555, 12174, 38251, 2423, 16572, 46958, 1829, 9307, 20666, 7435, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 2423, 16572, 46958, 1829, 9307, 20666, 7435, 10943, 27884, 33688, 3794, 37440, 10632, 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{"start": 580.59, "end": 581.03, "word": " مين", "probability": 0.9921875}], "temperature": 1.0}, {"id": 23, "seek": 61088, "start": 581.54, "end": 610.88, "text": "الان يعني التلاتة عامل من عوامل الان مادام التلاتة عامل من عوامل الان اذا اكيد الان اكبر من واحد اذا by unique factorization theorem then الان can be written as اللي هو تلاتة to اكيد في تلاتة to the الف واحد معايا يا جماعة اه الان بتسوي تلاتة ل الف واحد", "tokens": [6027, 7649, 37495, 22653, 16712, 1211, 9307, 3660, 6225, 10943, 1211, 9154, 6225, 2407, 10943, 1211, 2423, 7649, 3714, 18513, 10943, 16712, 1211, 9307, 3660, 6225, 10943, 1211, 9154, 6225, 2407, 10943, 1211, 2423, 7649, 1975, 15730, 1975, 4117, 25708, 2423, 7649, 1975, 4117, 26890, 9154, 36764, 24401, 1975, 15730, 538, 3845, 5952, 2144, 20904, 550, 2423, 7649, 393, 312, 3720, 382, 13672, 1829, 31439, 6055, 1211, 9307, 3660, 281, 1975, 4117, 25708, 8978, 6055, 1211, 9307, 3660, 281, 264, 27188, 36764, 24401, 20449, 995, 25528, 35186, 10874, 15042, 27884, 1975, 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"probability": 0.540283203125}, {"start": 609.64, "end": 609.98, "word": " تلاتة", "probability": 0.9287109375}, {"start": 609.98, "end": 610.1, "word": " ل", "probability": 0.399658203125}, {"start": 610.1, "end": 610.32, "word": " الف", "probability": 0.2415771484375}, {"start": 610.32, "end": 610.88, "word": " واحد", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 24, "seek": 63829, "start": 611.45, "end": 638.29, "text": "فى P1 أو خلّيني أسميها Alpha ألف واحد لعند PR أس ألف R و P1 و PR are distinct primes غير التلاتة طبعا الان احسبلي Phi of تلاتة N then Phi of تلاتة N زى السؤال اللي جابله بالظبط يعني مش هيختلف", "tokens": [5172, 7578, 430, 16, 34051, 16490, 1211, 11703, 9957, 1829, 5551, 38251, 1829, 11296, 20588, 5551, 46538, 36764, 24401, 5296, 3615, 41260, 11568, 5551, 3794, 5551, 46538, 497, 4032, 430, 16, 4032, 11568, 366, 10644, 582, 1532, 32771, 13546, 16712, 1211, 9307, 3660, 23032, 3555, 3615, 995, 2423, 7649, 1975, 5016, 35457, 20292, 41435, 295, 6055, 1211, 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واحد ناقص تلت في واحد ناقص واحد على بي واحد لما أصل لعند واحد ناقص واحد على بي ار", "tokens": [3555, 3794, 995, 2407, 7578, 13672, 1829, 12174, 36150, 13412, 2407, 10632, 11331, 1211, 8315, 3224, 13672, 1829, 31439, 6055, 1211, 9307, 3660, 5551, 3794, 27188, 36764, 24401, 34051, 27188, 30767, 16373, 3215, 36764, 24401, 8978, 4724, 1829, 36764, 24401, 27188, 36764, 24401, 5296, 3615, 41260, 4724, 1829, 1975, 2288, 27188, 1975, 2288, 6156, 995, 26895, 3224, 23758, 31439, 6225, 3555, 9640, 3660, 18871, 18863, 3215, 3215, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 8978, 36764, 24401, 8717, 995, 4587, 9381, 6055, 1211, 2655, 8978, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 4724, 1829, 36764, 24401, 5296, 15042, 5551, 36520, 5296, 3615, 41260, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 4724, 1829, 1975, 2288], "avg_logprob": -0.16570377475073358, "compression_ratio": 2.258241758241758, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 638.87, "end": 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568, 5551, 3794, 591, 337, 512, 591, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 502, 1705, 2670, 8978, 25724, 11622, 38207, 16247, 12610, 7649, 1829, 10874, 11622, 38207, 11331, 3794, 16758, 9307, 8608, 3224, 1211, 25724, 11622, 38207, 16247, 12610, 7649, 1829], "avg_logprob": -0.22825168576594945, "compression_ratio": 1.5126582278481013, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 996.87, "end": 997.25, "word": "هذا", "probability": 0.9267578125}, {"start": 997.25, "end": 997.63, "word": " الجزء", "probability": 0.96630859375}, {"start": 997.63, "end": 998.07, "word": " بيقول", "probability": 0.7782389322916666}, {"start": 998.07, "end": 998.37, "word": " لي", "probability": 0.181640625}, {"start": 998.37, "end": 998.87, "word": " E", "probability": 0.148193359375}, {"start": 998.87, "end": 1000.79, "word": " Phi", "probability": 0.2135009765625}, {"start": 1000.79, "end": 1001.55, "word": " of", "probability": 0.84033203125}, {"start": 1001.55, "end": 1002.03, "word": " N", "probability": 0.64697265625}, {"start": 1002.03, "end": 1003.37, "word": " بيساوي", "probability": 0.731640625}, {"start": 1003.37, "end": 1003.63, "word": " N", "probability": 0.76953125}, {"start": 1003.63, "end": 1003.89, "word": " على", "probability": 0.6220703125}, {"start": 1003.89, "end": 1004.55, "word": " 2", "probability": 0.9521484375}, {"start": 1004.55, "end": 1005.35, "word": " if", "probability": 0.56005859375}, {"start": 1005.35, "end": 1005.81, "word": " and", "probability": 0.86572265625}, {"start": 1005.81, "end": 1006.27, "word": " only", "probability": 0.89306640625}, {"start": 1006.27, "end": 1006.75, "word": " if", "probability": 0.9755859375}, {"start": 1006.75, "end": 1007.67, "word": " N", "probability": 0.81982421875}, {"start": 1007.67, "end": 1008.29, "word": " بتساوي", "probability": 0.84716796875}, {"start": 1008.29, "end": 1008.73, "word": " 2", "probability": 0.8681640625}, {"start": 1008.73, "end": 1009.07, "word": " أس", "probability": 0.60009765625}, {"start": 1009.07, "end": 1009.45, "word": " K", "probability": 0.68798828125}, {"start": 1009.45, "end": 1010.95, "word": " for", "probability": 0.685546875}, {"start": 1010.95, "end": 1012.23, "word": " some", "probability": 0.8857421875}, {"start": 1012.23, "end": 1013.31, "word": " K", "probability": 0.900390625}, {"start": 1013.31, "end": 1013.75, "word": " أكبر", "probability": 0.9484049479166666}, {"start": 1013.75, "end": 1013.93, "word": " أو", "probability": 0.91455078125}, {"start": 1013.93, "end": 1014.39, "word": " يساوي", "probability": 0.965576171875}, {"start": 1014.39, "end": 1014.91, "word": " 1", "probability": 0.6806640625}, {"start": 1014.91, "end": 1017.05, "word": " Proof", "probability": 0.5941162109375}, {"start": 1017.05, "end": 1021.21, "word": " في", "probability": 0.666015625}, {"start": 1021.21, "end": 1021.93, "word": " الجزء", "probability": 0.9427083333333334}, {"start": 1021.93, "end": 1022.51, "word": " الأولاني", "probability": 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"word": " أكبر", "probability": 0.9762369791666666}, {"start": 1032.68, "end": 1033.0, "word": " سوى", "probability": 0.5479329427083334}, {"start": 1033.0, "end": 1033.38, "word": " 1", "probability": 0.64111328125}, {"start": 1033.38, "end": 1034.06, "word": " then", "probability": 0.67236328125}, {"start": 1034.06, "end": 1035.84, "word": " 5n", "probability": 0.706298828125}, {"start": 1035.84, "end": 1037.56, "word": " بتساوي", "probability": 0.805908203125}, {"start": 1037.56, "end": 1037.88, "word": " حسب", "probability": 0.8994140625}, {"start": 1037.88, "end": 1038.34, "word": " القانون", "probability": 0.9825846354166666}, {"start": 1038.34, "end": 1038.5, "word": " اللي", "probability": 0.844482421875}, {"start": 1038.5, "end": 1039.2, "word": " أخذناه", "probability": 0.79892578125}, {"start": 1039.2, "end": 1039.48, "word": " عبارة", "probability": 0.9500732421875}, {"start": 1039.48, "end": 1039.7, "word": " عن", "probability": 0.984375}, {"start": 1039.7, "end": 1040.16, 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1081.4, "text": "2K-1 ويساوي اللي هو نفس الان 2K على 2 على 2 ماضح طيب conversely suppose that suppose that 5N بيساوي N على 2 على 2", "tokens": [17, 42, 12, 16, 4032, 1829, 3794, 995, 45865, 13672, 1829, 31439, 8717, 36178, 2423, 7649, 568, 42, 15844, 568, 15844, 568, 3714, 46958, 5016, 23032, 1829, 3555, 2615, 736, 7297, 300, 7297, 300, 1025, 45, 4724, 1829, 3794, 995, 45865, 426, 15844, 568, 15844, 568], "avg_logprob": -0.34109042806828277, "compression_ratio": 1.4144144144144144, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1053.52, "end": 1054.3, "word": "2K", "probability": 0.4111328125}, {"start": 1054.3, "end": 1055.08, "word": "-1", "probability": 0.6417236328125}, {"start": 1055.08, "end": 1055.84, "word": " ويساوي", "probability": 0.6004638671875}, {"start": 1055.84, "end": 1056.8, "word": " اللي", "probability": 0.541259765625}, {"start": 1056.8, "end": 1057.04, "word": " هو", "probability": 0.98681640625}, {"start": 1057.04, "end": 1057.5, "word": " نفس", "probability": 0.9794921875}, {"start": 1057.5, "end": 1057.9, "word": " الان", "probability": 0.78857421875}, {"start": 1057.9, "end": 1058.66, "word": " 2K", "probability": 0.859130859375}, {"start": 1058.66, "end": 1058.96, "word": " على", "probability": 0.36279296875}, {"start": 1058.96, "end": 1059.22, "word": " 2", "probability": 0.625}, {"start": 1059.22, "end": 1060.96, "word": " على", "probability": 0.474853515625}, {"start": 1060.96, "end": 1061.34, "word": " 2", "probability": 0.89501953125}, {"start": 1061.34, "end": 1063.92, "word": " ماضح", "probability": 0.7431640625}, {"start": 1063.92, "end": 1067.12, "word": " طيب", "probability": 0.7486979166666666}, {"start": 1067.12, "end": 1068.44, "word": " conversely", "probability": 0.6697998046875}, {"start": 1068.44, "end": 1070.22, "word": " suppose", "probability": 0.84912109375}, {"start": 1070.22, "end": 1071.12, "word": " that", "probability": 0.9306640625}, {"start": 1071.12, "end": 1073.34, "word": " suppose", "probability": 0.5419921875}, {"start": 1073.34, "end": 1075.72, "word": " that", "probability": 0.9462890625}, {"start": 1075.72, "end": 1077.44, "word": " 5N", "probability": 0.66064453125}, {"start": 1077.44, "end": 1078.7, "word": " بيساوي", "probability": 0.8388671875}, {"start": 1078.7, "end": 1078.96, "word": " N", "probability": 0.736328125}, {"start": 1078.96, "end": 1079.2, "word": " على", "probability": 0.71142578125}, {"start": 1079.2, "end": 1079.52, "word": " 2", "probability": 0.9521484375}, {"start": 1079.52, "end": 1081.12, "word": " على", "probability": 0.83984375}, {"start": 1081.12, "end": 1081.4, "word": " 2", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 41, "seek": 110476, "start": 1082.6, "end": 1104.76, "text": "ما دا انفرضنا ان 5n بتساوي n على 2 و5n احنا عارفينها انها عبارة عن انتجار اذا n على 2 انتجار اذا معناته الـn ايه شمالها is even كما امرنا 5n عبارة عن انتجار واحنا فرضين الان الفرضية المعطنية 5n بتساوي n على 2", "tokens": [15042, 11778, 995, 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0.99560546875}, {"start": 1089.62, "end": 1090.3, "word": " انتجار", "probability": 0.80035400390625}, {"start": 1090.3, "end": 1091.08, "word": " اذا", "probability": 0.6854248046875}, {"start": 1091.08, "end": 1091.32, "word": " n", "probability": 0.5927734375}, {"start": 1091.32, "end": 1091.54, "word": " على", "probability": 0.83251953125}, {"start": 1091.54, "end": 1091.8, "word": " 2", "probability": 0.97607421875}, {"start": 1091.8, "end": 1092.46, "word": " انتجار", "probability": 0.9466552734375}, {"start": 1092.46, "end": 1093.36, "word": " اذا", "probability": 0.844482421875}, {"start": 1093.36, "end": 1093.92, "word": " معناته", "probability": 0.9783528645833334}, {"start": 1093.92, "end": 1094.28, "word": " الـn", "probability": 0.3943684895833333}, {"start": 1094.28, "end": 1094.58, "word": " ايه", "probability": 0.7789713541666666}, {"start": 1094.58, "end": 1095.16, "word": " شمالها", "probability": 0.9034423828125}, {"start": 1095.16, "end": 1095.56, "word": " is", "probability": 0.55712890625}, {"start": 1095.56, "end": 1096.06, "word": " even", "probability": 0.79345703125}, {"start": 1096.06, "end": 1097.7, "word": " كما", "probability": 0.851806640625}, {"start": 1097.7, "end": 1098.16, "word": " امرنا", "probability": 0.5763346354166666}, {"start": 1098.16, "end": 1098.9, "word": " 5n", "probability": 0.93994140625}, {"start": 1098.9, "end": 1099.76, "word": " عبارة", "probability": 0.991943359375}, {"start": 1099.76, "end": 1099.9, "word": " عن", "probability": 0.994140625}, {"start": 1099.9, "end": 1100.44, "word": " انتجار", "probability": 0.9881591796875}, {"start": 1100.44, "end": 1100.82, "word": " واحنا", "probability": 0.7906901041666666}, {"start": 1100.82, "end": 1101.42, "word": " فرضين", "probability": 0.9871419270833334}, {"start": 1101.42, "end": 1101.84, "word": " الان", "probability": 0.6217041015625}, {"start": 1101.84, "end": 1102.68, "word": " الفرضية", "probability": 0.943359375}, {"start": 1102.68, "end": 1103.26, "word": " المعطنية", "probability": 0.8609375}, {"start": 1103.26, "end": 1103.76, "word": " 5n", "probability": 0.9384765625}, {"start": 1103.76, "end": 1104.1, "word": " بتساوي", "probability": 0.909423828125}, {"start": 1104.1, "end": 1104.28, "word": " n", "probability": 0.89208984375}, {"start": 1104.28, "end": 1104.46, "word": " على", "probability": 0.93359375}, {"start": 1104.46, "end": 1104.76, "word": " 2", "probability": 0.98828125}], "temperature": 1.0}, {"id": 42, "seek": 113327, "start": 1106.05, "end": 1133.27, "text": "بعدين أنا على اتنين is integer اذا الان ايش مالها عبارة عن even number مدام even number اذا بقدر اكتب على صورة اتنين اص ك في ان for some odd number n والكه اكبر او يساوي ايش واحد واضح نيجي الان", "tokens": [3555, 22488, 9957, 41850, 15844, 1975, 2655, 1863, 9957, 307, 24922, 1975, 15730, 2423, 7649, 1975, 1829, 8592, 3714, 6027, 11296, 6225, 3555, 9640, 3660, 18871, 754, 1230, 3714, 3215, 10943, 754, 1230, 1975, 15730, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 15844, 20328, 13063, 3660, 1975, 2655, 1863, 9957, 1975, 9381, 9122, 8978, 16472, 337, 512, 7401, 1230, 297, 16070, 4117, 3224, 1975, 4117, 26890, 1975, 2407, 7251, 3794, 995, 45865, 1975, 1829, 8592, 36764, 24401, 4032, 46958, 5016, 8717, 1829, 7435, 1829, 2423, 7649], "avg_logprob": -0.3424928284239495, "compression_ratio": 1.6304347826086956, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1106.05, "end": 1106.49, "word": "بعدين", "probability": 0.3943990071614583}, {"start": 1106.49, "end": 1106.69, "word": " أنا", "probability": 0.39892578125}, {"start": 1106.69, "end": 1106.87, "word": " على", "probability": 0.78125}, {"start": 1106.87, "end": 1107.15, "word": " اتنين", "probability": 0.822021484375}, {"start": 1107.15, "end": 1107.33, "word": " is", "probability": 0.578125}, {"start": 1107.33, "end": 1107.71, "word": " integer", "probability": 0.62939453125}, {"start": 1107.71, "end": 1107.95, "word": " اذا", "probability": 0.6365966796875}, {"start": 1107.95, "end": 1108.21, "word": " الان", "probability": 0.75146484375}, {"start": 1108.21, "end": 1108.51, "word": " ايش", "probability": 0.6441243489583334}, {"start": 1108.51, "end": 1109.01, "word": " مالها", "probability": 0.7181803385416666}, {"start": 1109.01, "end": 1109.99, "word": " عبارة", "probability": 0.981201171875}, {"start": 1109.99, "end": 1110.23, "word": " عن", "probability": 0.9736328125}, {"start": 1110.23, "end": 1110.73, "word": " even", "probability": 0.87255859375}, {"start": 1110.73, "end": 1111.37, "word": " number", "probability": 0.9833984375}, {"start": 1111.37, "end": 1111.77, "word": " مدام", "probability": 0.4950358072916667}, {"start": 1111.77, "end": 1112.03, "word": " even", "probability": 0.89306640625}, {"start": 1112.03, "end": 1112.57, "word": " number", "probability": 0.986328125}, {"start": 1112.57, "end": 1113.17, "word": " اذا", "probability": 0.880126953125}, {"start": 1113.17, "end": 1113.61, "word": " بقدر", "probability": 0.97900390625}, {"start": 1113.61, "end": 1113.95, "word": " اكتب", "probability": 0.9521484375}, {"start": 1113.95, "end": 1114.17, "word": " على", "probability": 0.85986328125}, {"start": 1114.17, "end": 1114.65, "word": " صورة", "probability": 0.8898111979166666}, {"start": 1114.65, "end": 1115.21, "word": " اتنين", "probability": 0.9051513671875}, {"start": 1115.21, "end": 1115.49, "word": " اص", "probability": 0.4302978515625}, {"start": 1115.49, "end": 1115.79, "word": " ك", "probability": 0.9052734375}, {"start": 1115.79, "end": 1116.71, "word": " في", "probability": 0.3583984375}, {"start": 1116.71, "end": 1117.07, "word": " ان", "probability": 0.473876953125}, {"start": 1117.07, "end": 1118.05, "word": " for", "probability": 0.78271484375}, {"start": 1118.05, "end": 1119.23, "word": " some", "probability": 0.89990234375}, {"start": 1119.23, "end": 1120.59, "word": " odd", "probability": 0.904296875}, {"start": 1120.59, "end": 1122.31, "word": " number", "probability": 0.97314453125}, {"start": 1122.31, "end": 1123.77, "word": " n", "probability": 0.424560546875}, {"start": 1123.77, "end": 1125.43, "word": " والكه", "probability": 0.483642578125}, {"start": 1125.43, "end": 1126.61, "word": " اكبر", "probability": 0.8761393229166666}, {"start": 1126.61, "end": 1126.79, "word": " او", "probability": 0.953369140625}, {"start": 1126.79, "end": 1127.23, "word": " يساوي", "probability": 0.8245849609375}, {"start": 1127.23, "end": 1127.79, "word": " ايش", "probability": 0.8053385416666666}, {"start": 1127.79, "end": 1130.13, "word": " واحد", "probability": 0.76611328125}, {"start": 1130.13, "end": 1131.21, "word": " واضح", "probability": 0.9404296875}, {"start": 1131.21, "end": 1132.85, "word": " نيجي", "probability": 0.66802978515625}, {"start": 1132.85, "end": 1133.27, "word": " الان", "probability": 0.6409912109375}], "temperature": 1.0}, {"id": 43, "seek": 116370, "start": 1134.3, "end": 1163.7, "text": "بدنا من الفرضية هذه نصل لأن الان هذه لازماش تساوي تساوي واحد معناته صارت الان إيه شمالها صورتها عبارة عن اتنين أس كي نحسب بحساب الان معطيني five ان بساوي ان على مين على اتنين إذا صار عندي then ان على اتنين اللي عبارة عن اتنين أس كي في ان يعني عبارة عن اتنين أس كي ناقص واحد في ان", "tokens": [3555, 3215, 8315, 9154, 27188, 43042, 10632, 29538, 8717, 36520, 5296, 33456, 2423, 7649, 29538, 5296, 31377, 2304, 33599, 6055, 3794, 995, 45865, 6055, 3794, 995, 45865, 36764, 24401, 20449, 8315, 47395, 20328, 9640, 2655, 2423, 7649, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 20328, 13063, 2655, 11296, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 5551, 3794, 9122, 1829, 8717, 5016, 35457, 4724, 5016, 3794, 16758, 2423, 7649, 20449, 9566, 9957, 1829, 1732, 16472, 4724, 3794, 995, 45865, 16472, 15844, 3714, 9957, 15844, 1975, 2655, 1863, 9957, 11933, 15730, 20328, 9640, 18871, 16254, 550, 16472, 15844, 1975, 2655, 1863, 9957, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 5551, 3794, 9122, 1829, 8978, 16472, 37495, 22653, 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0.888671875}], "temperature": 1.0}, {"id": 47, "seek": 128095, "start": 1251.95, "end": 1280.95, "text": "and so منه مباشرة and بتساوي واحد therefore بيصير عندي ال and تبعتي هتساوي اتنين اصكي حين او حين ما تكون five and بتساوي and على اتنين وخلصنا السؤال الرابع كبر الآن السؤال اللي بعده السؤال الخامسة", "tokens": [474, 370, 9154, 3224, 3714, 3555, 33599, 25720, 293, 39894, 3794, 995, 45865, 36764, 24401, 4412, 4724, 1829, 9381, 13546, 18871, 16254, 2423, 293, 6055, 3555, 3615, 31371, 8032, 2655, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1975, 9381, 4117, 1829, 11331, 9957, 1975, 2407, 11331, 9957, 19446, 6055, 30544, 1732, 293, 39894, 3794, 995, 45865, 293, 15844, 1975, 2655, 1863, 9957, 4032, 9778, 1211, 9381, 8315, 21136, 33604, 6027, 34892, 16758, 3615, 9122, 26890, 6024, 48506, 21136, 33604, 6027, 13672, 1829, 39182, 3224, 21136, 33604, 6027, 33962, 10943, 3794, 3660], "avg_logprob": -0.25356657479120337, "compression_ratio": 1.7717391304347827, "no_speech_prob": 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"word": " السؤال", "probability": 0.9715169270833334}, {"start": 1280.31, "end": 1280.95, "word": " الخامسة", "probability": 0.9561767578125}], "temperature": 1.0}, {"id": 48, "seek": 130298, "start": 1283.7, "end": 1302.98, "text": "نشوف ايش بيقول السؤال الخامسة ونشوف كيف نبرهن اللي بطلب السؤال اللي بيقول السؤال معاني السؤال الخامسة", "tokens": [1863, 8592, 38688, 1975, 1829, 8592, 4724, 1829, 39648, 21136, 33604, 6027, 33962, 10943, 3794, 3660, 4032, 1863, 8592, 38688, 9122, 33911, 8717, 26890, 3224, 1863, 13672, 1829, 4724, 9566, 46152, 21136, 33604, 6027, 13672, 1829, 4724, 1829, 39648, 21136, 33604, 6027, 20449, 7649, 1829, 21136, 33604, 6027, 33962, 10943, 3794, 3660], "avg_logprob": -0.13951945979640168, "compression_ratio": 1.9175257731958764, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1283.7, "end": 1284.18, "word": "نشوف", "probability": 0.7444661458333334}, {"start": 1284.18, "end": 1284.38, "word": " ايش", "probability": 0.7086181640625}, {"start": 1284.38, "end": 1284.66, "word": " بيقول", "probability": 0.857421875}, {"start": 1284.66, "end": 1285.06, "word": " السؤال", "probability": 0.95458984375}, {"start": 1285.06, "end": 1285.68, "word": " الخامسة", "probability": 0.8502197265625}, {"start": 1285.68, "end": 1286.26, "word": " ونشوف", "probability": 0.88037109375}, {"start": 1286.26, "end": 1286.62, "word": " كيف", "probability": 0.9462890625}, {"start": 1286.62, "end": 1287.56, "word": " نبرهن", "probability": 0.8370361328125}, {"start": 1287.56, "end": 1288.66, "word": " اللي", "probability": 0.875732421875}, {"start": 1288.66, "end": 1289.18, "word": " بطلب", "probability": 0.9025065104166666}, {"start": 1289.18, "end": 1289.8, "word": " السؤال", "probability": 0.9934895833333334}, {"start": 1289.8, "end": 1300.62, "word": " اللي", "probability": 0.950439453125}, {"start": 1300.62, "end": 1300.92, "word": " بيقول", "probability": 0.95751953125}, {"start": 1300.92, "end": 1301.42, "word": " السؤال", "probability": 0.9920247395833334}, {"start": 1301.42, "end": 1302.02, "word": " معاني", "probability": 0.9285481770833334}, {"start": 1302.02, "end": 1302.36, "word": " السؤال", "probability": 0.8126627604166666}, {"start": 1302.36, "end": 1302.98, "word": " الخامسة", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 49, "seek": 132708, "start": 1305.58, "end": 1327.08, "text": "اللي بيطلبوا مني بيقولي prove that five n على اتنين four n بتساوي اتنين في كده يعني ماعطيك بيقولك بصيغة اخرى let n بتساوي اتنين في اتنين بيناقص واحد", "tokens": [6027, 20292, 4724, 1829, 9566, 46152, 14407, 9154, 1829, 4724, 1829, 39648, 1829, 7081, 300, 1732, 297, 15844, 1975, 2655, 1863, 9957, 1451, 297, 39894, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 9122, 3215, 3224, 37495, 22653, 19446, 3615, 9566, 1829, 4117, 4724, 1829, 39648, 4117, 4724, 9381, 1829, 17082, 3660, 1975, 34740, 7578, 718, 297, 39894, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 4724, 1829, 8315, 4587, 9381, 36764, 24401], "avg_logprob": -0.18760015471623495, "compression_ratio": 1.6442953020134228, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1305.58, "end": 1305.86, "word": "اللي", "probability": 0.519287109375}, {"start": 1305.86, "end": 1306.26, "word": " بيطلبوا", "probability": 0.747802734375}, {"start": 1306.26, "end": 1306.52, "word": " مني", "probability": 0.92529296875}, {"start": 1306.52, "end": 1306.86, "word": " بيقولي", "probability": 0.7943115234375}, {"start": 1306.86, "end": 1307.18, "word": " prove", "probability": 0.78759765625}, {"start": 1307.18, "end": 1307.76, "word": " that", "probability": 0.9287109375}, {"start": 1307.76, "end": 1309.94, "word": " five", "probability": 0.383544921875}, {"start": 1309.94, "end": 1310.18, "word": " n", "probability": 0.28955078125}, {"start": 1310.18, "end": 1311.28, "word": " على", "probability": 0.69775390625}, {"start": 1311.28, "end": 1311.76, "word": " اتنين", "probability": 0.8948974609375}, {"start": 1311.76, 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1413.35, "text": "Proof Phi of N بسوى Phi of 2 في 2B ناقص واحد الاتنين واتنين بي minus واحد are relatively prime إذن بسوى Phi of 2 في Phi of 2 بي ناقص واحد ويسوى Phi of 2 هي عبارة عن واحد اللي هو 2 ناقص واحد واحد", "tokens": [12681, 2670, 41435, 295, 426, 4724, 3794, 2407, 7578, 41435, 295, 568, 8978, 568, 33, 8717, 995, 4587, 9381, 36764, 24401, 2423, 9307, 1863, 9957, 4032, 9307, 1863, 9957, 4724, 1829, 3175, 36764, 24401, 366, 7226, 5835, 11933, 8848, 1863, 4724, 3794, 2407, 7578, 41435, 295, 568, 8978, 41435, 295, 568, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 4032, 1829, 3794, 2407, 7578, 41435, 295, 568, 39896, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 13672, 1829, 31439, 568, 8717, 995, 4587, 9381, 36764, 24401, 36764, 24401], "avg_logprob": -0.3036221580749208, "compression_ratio": 1.7735849056603774, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1390.6100000000001, "end": 1391.45, "word": "Proof", "probability": 0.514862060546875}, {"start": 1391.45, 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1400.25, "word": " واتنين", "probability": 0.696929931640625}, {"start": 1400.25, "end": 1400.45, "word": " بي", "probability": 0.6644287109375}, {"start": 1400.45, "end": 1400.73, "word": " minus", "probability": 0.2177734375}, {"start": 1400.73, "end": 1401.09, "word": " واحد", "probability": 0.978759765625}, {"start": 1401.09, "end": 1401.27, "word": " are", "probability": 0.671875}, {"start": 1401.27, "end": 1401.79, "word": " relatively", "probability": 0.72412109375}, {"start": 1401.79, "end": 1402.23, "word": " prime", "probability": 0.9111328125}, {"start": 1402.23, "end": 1402.55, "word": " إذن", "probability": 0.57177734375}, {"start": 1402.55, "end": 1402.95, "word": " بسوى", "probability": 0.9063720703125}, {"start": 1402.95, "end": 1403.49, "word": " Phi", "probability": 0.87939453125}, {"start": 1403.49, "end": 1404.61, "word": " of", "probability": 0.927734375}, {"start": 1404.61, "end": 1405.21, "word": " 2", "probability": 0.9716796875}, {"start": 1405.21, "end": 1405.43, "word": " في", "probability": 0.91748046875}, {"start": 1405.43, "end": 1405.75, "word": " Phi", "probability": 0.8583984375}, {"start": 1405.75, "end": 1405.97, "word": " of", "probability": 0.9794921875}, {"start": 1405.97, "end": 1406.49, "word": " 2", "probability": 0.99365234375}, {"start": 1406.49, "end": 1407.23, "word": " بي", "probability": 0.8251953125}, {"start": 1407.23, "end": 1407.91, "word": " ناقص", "probability": 0.9903564453125}, {"start": 1407.91, "end": 1408.41, "word": " واحد", "probability": 0.990234375}, {"start": 1408.41, "end": 1409.15, "word": " ويسوى", "probability": 0.77158203125}, {"start": 1409.15, "end": 1409.81, "word": " Phi", "probability": 0.94482421875}, {"start": 1409.81, "end": 1410.01, "word": " of", "probability": 0.97216796875}, {"start": 1410.01, "end": 1410.39, "word": " 2", "probability": 0.98095703125}, {"start": 1410.39, "end": 1410.59, "word": " هي", "probability": 0.8720703125}, {"start": 1410.59, "end": 1410.95, "word": " عبارة", "probability": 0.9920654296875}, {"start": 1410.95, "end": 1411.23, "word": " عن", "probability": 0.99462890625}, {"start": 1411.23, "end": 1411.77, "word": " واحد", "probability": 0.980224609375}, {"start": 1411.77, "end": 1412.01, "word": " اللي", "probability": 0.833740234375}, {"start": 1412.01, "end": 1412.13, "word": " هو", "probability": 0.97314453125}, {"start": 1412.13, "end": 1412.33, "word": " 2", "probability": 0.59423828125}, {"start": 1412.33, "end": 1412.67, "word": " ناقص", "probability": 0.88818359375}, {"start": 1412.67, "end": 1412.93, "word": " واحد", "probability": 0.963623046875}, {"start": 1412.93, "end": 1413.35, "word": " واحد", "probability": 0.964599609375}], "temperature": 1.0}, {"id": 53, "seek": 144004, "start": 1414.8, "end": 1440.04, "text": "فاي of اتنين بي ناقص واحد ايش بيكون اتنين بي ناقص واحد is a prime فايلة الابراهيم ايش بيساوي الابراهيم ناقص واحد اذا بيساوي اتنين بي ناقص واحد ناقص واحد اه هذا فاي of اتنين بي ناقص واحد since اتنين بي ناقص واحد is a prime", "tokens": [5172, 47302, 295, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 1975, 1829, 8592, 4724, 1829, 30544, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 307, 257, 5835, 6156, 995, 26895, 3660, 2423, 16758, 23557, 3224, 32640, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 2423, 16758, 23557, 3224, 32640, 8717, 995, 4587, 9381, 36764, 24401, 1975, 15730, 4724, 1829, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 1975, 3224, 23758, 6156, 47302, 295, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 1670, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 307, 257, 5835], "avg_logprob": -0.1876260065022976, "compression_ratio": 2.7761194029850746, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1414.7999999999997, "end": 1415.6799999999998, "word": "فاي", "probability": 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is", "probability": 0.68896484375}, {"start": 1421.34, "end": 1421.46, "word": " a", "probability": 0.1990966796875}, {"start": 1421.46, "end": 1421.8, "word": " prime", "probability": 0.869140625}, {"start": 1421.8, "end": 1423.02, "word": " فايلة", "probability": 0.6531982421875}, {"start": 1423.02, "end": 1423.5, "word": " الابراهيم", "probability": 0.701806640625}, {"start": 1423.5, "end": 1423.68, "word": " ايش", "probability": 0.9220377604166666}, {"start": 1423.68, "end": 1424.12, "word": " بيساوي", "probability": 0.9158203125}, {"start": 1424.12, "end": 1424.68, "word": " الابراهيم", "probability": 0.86220703125}, {"start": 1424.68, "end": 1425.1, "word": " ناقص", "probability": 0.9793701171875}, {"start": 1425.1, "end": 1425.54, "word": " واحد", "probability": 0.990966796875}, {"start": 1425.54, "end": 1426.32, "word": " اذا", "probability": 0.786376953125}, {"start": 1426.32, "end": 1426.9, "word": " بيساوي", "probability": 0.95751953125}, {"start": 1426.9, "end": 1427.4, "word": " اتنين", "probability": 0.978759765625}, {"start": 1427.4, "end": 1428.08, "word": " بي", "probability": 0.980712890625}, {"start": 1428.08, "end": 1428.98, "word": " ناقص", "probability": 0.987548828125}, {"start": 1428.98, "end": 1429.44, "word": " واحد", "probability": 0.99462890625}, {"start": 1429.44, "end": 1429.96, "word": " ناقص", "probability": 0.968994140625}, {"start": 1429.96, "end": 1430.46, "word": " واحد", "probability": 0.993896484375}, {"start": 1430.46, "end": 1431.66, "word": " اه", "probability": 0.651123046875}, {"start": 1431.66, "end": 1432.1, "word": " هذا", "probability": 0.54541015625}, {"start": 1432.1, "end": 1432.5, "word": " فاي", "probability": 0.63134765625}, {"start": 1432.5, "end": 1432.66, "word": " of", "probability": 0.89404296875}, {"start": 1432.66, "end": 1432.96, "word": " اتنين", "probability": 0.9798583984375}, {"start": 1432.96, "end": 1433.14, "word": " بي", "probability": 0.99072265625}, {"start": 1433.14, "end": 1433.68, "word": " 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ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص اتنين و يساوي اتنين بي ناقص", "tokens": [2407, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 1829, 8717, 995, 4587, 9381, 1975, 2655, 1863, 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597, 1732, 295, 297, 307, 257, 2176, 3732, 307, 257, 2176, 3732, 8717, 8592, 38688, 9122, 33911, 8717, 5172, 37983, 8978, 21136, 33604, 6027, 4032, 8717, 5016, 1211, 21136, 33604, 6027, 8608, 2407, 25528, 8608, 33604, 6027, 8608, 2655, 3660, 855, 300], "avg_logprob": -0.2203125, "compression_ratio": 1.4970760233918128, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1551.38, "end": 1551.8, "word": "نجي", "probability": 0.465087890625}, {"start": 1551.8, "end": 1552.58, "word": " للسؤال", "probability": 0.9298095703125}, {"start": 1552.58, "end": 1552.88, "word": " اللي", "probability": 0.76123046875}, {"start": 1552.88, "end": 1553.56, "word": " بعده", "probability": 0.903076171875}, {"start": 1553.56, "end": 1554.04, "word": " بقول", "probability": 0.6240234375}, {"start": 1554.04, "end": 1554.3, "word": " show", "probability": 0.50341796875}, {"start": 1554.3, "end": 1554.6, "word": " that", "probability": 0.92578125}, {"start": 1554.6, "end": 1554.88, "word": " there", 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0.9814453125}, {"start": 1558.48, "end": 1558.98, "word": " perfect", "probability": 0.9306640625}, {"start": 1558.98, "end": 1560.04, "word": " square", "probability": 0.75634765625}, {"start": 1560.04, "end": 1561.58, "word": " is", "probability": 0.6484375}, {"start": 1561.58, "end": 1561.78, "word": " a", "probability": 0.9912109375}, {"start": 1561.78, "end": 1562.1, "word": " perfect", "probability": 0.92919921875}, {"start": 1562.1, "end": 1563.16, "word": " square", "probability": 0.876953125}, {"start": 1563.16, "end": 1564.32, "word": " نشوف", "probability": 0.7889811197916666}, {"start": 1564.32, "end": 1564.52, "word": " كيف", "probability": 0.966064453125}, {"start": 1564.52, "end": 1564.92, "word": " نفكر", "probability": 0.98583984375}, {"start": 1564.92, "end": 1565.06, "word": " في", "probability": 0.927734375}, {"start": 1565.06, "end": 1565.7, "word": " السؤال", "probability": 0.9967447916666666}, {"start": 1565.7, "end": 1566.04, "word": " و", "probability": 0.74462890625}, {"start": 1566.04, "end": 1566.28, "word": " نحل", "probability": 0.81591796875}, {"start": 1566.28, "end": 1566.96, "word": " السؤال", "probability": 0.9860026041666666}, {"start": 1566.96, "end": 1568.46, "word": " سويا", "probability": 0.9423828125}, {"start": 1568.46, "end": 1576.08, "word": " سؤال", "probability": 0.7832845052083334}, {"start": 1576.08, "end": 1576.74, "word": " ستة", "probability": 0.8430989583333334}, {"start": 1576.74, "end": 1578.88, "word": " show", "probability": 0.8798828125}, {"start": 1578.88, "end": 1579.52, "word": " that", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 59, "seek": 161011, "start": 1582.11, "end": 1610.11, "text": "So that there are infinitely many integers N for which 5N is a perfect", "tokens": [6455, 300, 456, 366, 36227, 867, 41674, 426, 337, 597, 1025, 45, 307, 257, 2176], "avg_logprob": -0.3120117075741291, "compression_ratio": 0.9859154929577465, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1582.11, "end": 1582.41, "word": "So", "probability": 0.0699462890625}, {"start": 1582.41, "end": 1583.07, "word": " that", "probability": 0.9296875}, {"start": 1583.07, "end": 1585.65, "word": " there", "probability": 0.77734375}, {"start": 1585.65, "end": 1587.39, "word": " are", "probability": 0.94384765625}, {"start": 1587.39, "end": 1589.31, "word": " infinitely", "probability": 0.92529296875}, {"start": 1589.31, "end": 1592.65, "word": " many", "probability": 0.92333984375}, {"start": 1592.65, "end": 1595.03, "word": " integers", "probability": 0.95361328125}, {"start": 1595.03, "end": 1597.73, "word": " N", "probability": 0.43408203125}, {"start": 1597.73, "end": 1601.77, "word": " for", "probability": 0.8837890625}, {"start": 1601.77, "end": 1603.03, "word": " which", "probability": 0.95166015625}, {"start": 1603.03, "end": 1607.59, "word": " 5N", "probability": 0.857666015625}, {"start": 1607.59, "end": 1608.87, "word": " is", "probability": 0.95703125}, {"start": 1608.87, "end": 1609.41, "word": " a", "probability": 0.96533203125}, {"start": 1609.41, "end": 1610.11, "word": " perfect", "probability": 0.923828125}], "temperature": 1.0}, {"id": 60, "seek": 164062, "start": 1613.56, "end": 1640.62, "text": "S² Proof خلّينا على جهة احنا قلنا لو كان N أكبر من واحد بيساوي بي واحد ألف واحد خلّينا الى اخرى خلّينا ناخد بي واحد إيش أسالفة واحد لو جينا أخدنا five N أو خلّيني نقول بي أسالفة five N إيش هيساوي", "tokens": [50, 27643, 1705, 2670, 16490, 1211, 11703, 9957, 995, 15844, 10874, 3224, 3660, 1975, 5016, 8315, 12174, 1211, 8315, 45164, 25961, 426, 5551, 4117, 26890, 9154, 36764, 24401, 4724, 1829, 3794, 995, 45865, 4724, 1829, 36764, 24401, 5551, 46538, 36764, 24401, 16490, 1211, 11703, 9957, 995, 2423, 7578, 1975, 34740, 7578, 16490, 1211, 11703, 9957, 995, 8717, 47283, 3215, 4724, 1829, 36764, 24401, 11933, 1829, 8592, 5551, 3794, 6027, 5172, 3660, 36764, 24401, 45164, 10874, 1829, 8315, 5551, 9778, 3215, 8315, 1732, 426, 34051, 16490, 1211, 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" كان", "probability": 0.94677734375}, {"start": 1621.7, "end": 1622.06, "word": " N", "probability": 0.56005859375}, {"start": 1622.06, "end": 1623.46, "word": " أكبر", "probability": 0.9112955729166666}, {"start": 1623.46, "end": 1623.6, "word": " من", "probability": 0.97314453125}, {"start": 1623.6, "end": 1623.82, "word": " واحد", "probability": 0.8310546875}, {"start": 1623.82, "end": 1624.2, "word": " بيساوي", "probability": 0.707275390625}, {"start": 1624.2, "end": 1624.44, "word": " بي", "probability": 0.58111572265625}, {"start": 1624.44, "end": 1624.78, "word": " واحد", "probability": 0.978271484375}, {"start": 1624.78, "end": 1625.04, "word": " ألف", "probability": 0.6610107421875}, {"start": 1625.04, "end": 1625.68, "word": " واحد", "probability": 0.94775390625}, {"start": 1625.68, "end": 1626.6, "word": " خلّينا", "probability": 0.8703125}, {"start": 1626.6, "end": 1627.3, "word": " الى", "probability": 0.498779296875}, {"start": 1627.3, "end": 1628.04, "word": " اخرى", "probability": 0.6331380208333334}, {"start": 1628.04, "end": 1628.68, "word": " خلّينا", "probability": 0.8638671875}, {"start": 1628.68, "end": 1628.9, "word": " ناخد", "probability": 0.8245442708333334}, {"start": 1628.9, "end": 1629.1, "word": " بي", "probability": 0.91357421875}, {"start": 1629.1, "end": 1629.38, "word": " واحد", "probability": 0.9912109375}, {"start": 1629.38, "end": 1629.86, "word": " إيش", "probability": 0.6693522135416666}, {"start": 1629.86, "end": 1630.74, "word": " أسالفة", "probability": 0.70595703125}, {"start": 1630.74, "end": 1631.12, "word": " واحد", "probability": 0.966064453125}, {"start": 1631.12, "end": 1632.14, "word": " لو", "probability": 0.88818359375}, {"start": 1632.14, "end": 1632.5, "word": " جينا", "probability": 0.9534505208333334}, {"start": 1632.5, "end": 1632.92, "word": " أخدنا", "probability": 0.819580078125}, {"start": 1632.92, "end": 1633.28, "word": " five", "probability": 0.7421875}, {"start": 1633.28, "end": 1633.64, "word": " N", "probability": 0.654296875}, {"start": 1633.64, "end": 1636.3, "word": " أو", "probability": 0.59765625}, {"start": 1636.3, "end": 1636.58, "word": " خلّيني", "probability": 0.8904296875}, {"start": 1636.58, "end": 1636.9, "word": " نقول", "probability": 0.776123046875}, {"start": 1636.9, "end": 1637.9, "word": " بي", "probability": 0.91015625}, {"start": 1637.9, "end": 1638.44, "word": " أسالفة", "probability": 0.96708984375}, {"start": 1638.44, "end": 1638.74, "word": " five", "probability": 0.59765625}, {"start": 1638.74, "end": 1639.04, "word": " N", "probability": 0.8984375}, {"start": 1639.04, "end": 1640.0, "word": " إيش", "probability": 0.84912109375}, {"start": 1640.0, "end": 1640.62, "word": " هيساوي", "probability": 0.854736328125}], "temperature": 1.0}, {"id": 61, "seek": 166991, "start": 1642.39, "end": 1669.91, "text": "هيساوي بي أس ألفة في واحد ناقص بي أو بتعبير آخر بي أس ألفة ناقص واحد انا بد ايش علاقته باللي بحكيه هنا هو بقوللي اثبتلي انه في عدد لا نهائي من ال integers n اللي بطلعلي ال five one ايش ماله اذا perfect square ايش معنى perfect square يعني يطلعلي هذا المقدار عبارة عن المضاعفات مين", "tokens": [3224, 1829, 3794, 995, 45865, 4724, 1829, 5551, 3794, 5551, 46538, 3660, 8978, 36764, 24401, 8717, 995, 4587, 9381, 4724, 1829, 34051, 4724, 2655, 3615, 3555, 13546, 19753, 34740, 4724, 1829, 5551, 3794, 5551, 46538, 3660, 8717, 995, 4587, 9381, 36764, 24401, 1975, 8315, 47525, 1975, 1829, 8592, 11203, 995, 38149, 3224, 20666, 20292, 4724, 5016, 4117, 1829, 3224, 34105, 31439, 4724, 39648, 20292, 1975, 12984, 3555, 2655, 20292, 16472, 3224, 8978, 6225, 3215, 3215, 20193, 8717, 3224, 16373, 1829, 9154, 2423, 41674, 297, 13672, 1829, 4724, 9566, 1211, 3615, 20292, 2423, 1732, 472, 1975, 1829, 8592, 3714, 6027, 3224, 1975, 15730, 2176, 3732, 1975, 1829, 8592, 20449, 1863, 7578, 2176, 3732, 37495, 22653, 7251, 9566, 1211, 3615, 20292, 23758, 9673, 28543, 9640, 6225, 3555, 9640, 3660, 18871, 9673, 11242, 45761, 5172, 9307, 3714, 9957], "avg_logprob": -0.23690256618839853, "compression_ratio": 1.8775510204081634, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1642.39, "end": 1643.15, "word": "هيساوي", "probability": 0.5749267578125}, {"start": 1643.15, "end": 1643.91, "word": " بي", "probability": 0.5294189453125}, {"start": 1643.91, "end": 1644.21, "word": " أس", "probability": 0.57373046875}, {"start": 1644.21, "end": 1644.87, "word": " ألفة", "probability": 0.7859700520833334}, {"start": 1644.87, "end": 1645.23, "word": " في", "probability": 0.296142578125}, {"start": 1645.23, "end": 1645.61, "word": " واحد", "probability": 0.97900390625}, {"start": 1645.61, "end": 1646.09, "word": " ناقص", "probability": 0.953857421875}, {"start": 1646.09, "end": 1646.77, "word": " بي", "probability": 0.876708984375}, {"start": 1646.77, "end": 1647.09, "word": " أو", "probability": 0.55322265625}, {"start": 1647.09, "end": 1647.61, "word": " بتعبير", "probability": 0.83271484375}, {"start": 1647.61, "end": 1647.97, 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هنا", "probability": 0.8544921875}, {"start": 1654.35, "end": 1654.89, "word": " هو", "probability": 0.57861328125}, {"start": 1654.89, "end": 1655.33, "word": " بقوللي", "probability": 0.5962727864583334}, {"start": 1655.33, "end": 1655.85, "word": " اثبتلي", "probability": 0.91474609375}, {"start": 1655.85, "end": 1656.11, "word": " انه", "probability": 0.7314453125}, {"start": 1656.11, "end": 1656.21, "word": " في", "probability": 0.79248046875}, {"start": 1656.21, "end": 1656.59, "word": " عدد", "probability": 0.90576171875}, {"start": 1656.59, "end": 1656.77, "word": " لا", "probability": 0.65625}, {"start": 1656.77, "end": 1657.27, "word": " نهائي", "probability": 0.942138671875}, {"start": 1657.27, "end": 1657.43, "word": " من", "probability": 0.9794921875}, {"start": 1657.43, "end": 1657.53, "word": " ال", "probability": 0.7021484375}, {"start": 1657.53, "end": 1657.91, "word": " integers", "probability": 0.68212890625}, {"start": 1657.91, "end": 1658.45, "word": " n", 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3615, 11242, 16606, 5551, 3615, 11242, 16606, 38637, 2304], "avg_logprob": -0.9999999602635702, "compression_ratio": 1.131578947368421, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1822.7199999999998, "end": 1824.12, "word": "إذا", "probability": 0.654296875}, {"start": 1824.12, "end": 1825.52, "word": " إنتج��ر", "probability": 0.5047149658203125}, {"start": 1825.52, "end": 1826.0, "word": " N", "probability": 0.1993408203125}, {"start": 1826.0, "end": 1831.02, "word": " لديه", "probability": 0.6426493326822916}, {"start": 1831.02, "end": 1836.88, "word": " قدرات", "probability": 0.353240966796875}, {"start": 1836.88, "end": 1836.94, "word": " مختلفة", "probability": 0.6671142578125}, {"start": 1836.94, "end": 1836.98, "word": " أو", "probability": 0.07476806640625}, {"start": 1836.98, "end": 1840.64, "word": " أعضاء", "probability": 0.32220458984375}, {"start": 1840.64, "end": 1840.68, "word": " أعضاء", "probability": 0.594635009765625}, {"start": 1840.68, "end": 1843.22, "word": " ثم", "probability": 0.538299560546875}], "temperature": 1.0}, {"id": 68, "seek": 187807, "start": 1850.39, "end": 1878.07, "text": "two to the R بتسميه الـ 5N proof معايا يا شباب الآن عندي a proof that if N has R distinct prime factors ضمن اثنين أثار بتسميه الـ 5N", "tokens": [20534, 281, 264, 497, 39894, 38251, 1829, 3224, 2423, 39184, 1025, 45, 8177, 20449, 995, 25528, 35186, 13412, 3555, 16758, 6024, 48506, 18871, 16254, 257, 8177, 300, 498, 426, 575, 497, 10644, 5835, 6771, 48812, 27842, 1975, 12984, 1863, 9957, 5551, 12984, 9640, 39894, 38251, 1829, 3224, 2423, 39184, 1025, 45], "avg_logprob": -0.3909254784767444, "compression_ratio": 1.2746478873239437, "no_speech_prob": 0.0, "words": [{"start": 1850.39, "end": 1850.63, "word": "two", "probability": 0.04254150390625}, {"start": 1850.63, "end": 1850.83, "word": " to", "probability": 0.7734375}, {"start": 1850.83, "end": 1850.99, "word": " the", "probability": 0.9189453125}, {"start": 1850.99, "end": 1851.41, 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"word": " that", "probability": 0.89599609375}, {"start": 1870.65, "end": 1870.87, "word": " if", "probability": 0.9287109375}, {"start": 1870.87, "end": 1871.09, "word": " N", "probability": 0.48486328125}, {"start": 1871.09, "end": 1871.47, "word": " has", "probability": 0.88427734375}, {"start": 1871.47, "end": 1871.91, "word": " R", "probability": 0.88818359375}, {"start": 1871.91, "end": 1872.37, "word": " distinct", "probability": 0.53369140625}, {"start": 1872.37, "end": 1872.85, "word": " prime", "probability": 0.87646484375}, {"start": 1872.85, "end": 1873.65, "word": " factors", "probability": 0.970703125}, {"start": 1873.65, "end": 1874.59, "word": " ضمن", "probability": 0.7080078125}, {"start": 1874.59, "end": 1875.01, "word": " اثنين", "probability": 0.69903564453125}, {"start": 1875.01, "end": 1875.65, "word": " أثار", "probability": 0.6554361979166666}, {"start": 1875.65, "end": 1876.79, "word": " بتسميه", "probability": 0.8641357421875}, {"start": 1876.79, "end": 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0.9475911458333334}], "temperature": 1.0}, {"id": 91, "seek": 246266, "start": 2435.38, "end": 2462.66, "text": "أنا أقول اتفضل All of betas that are greater than or equal to alphas لأ لأ مالوش علاقة ممكن تسويها جدها او تسويها او ازرار منها اللي جاي ال .. لأ العلاقة موجودة العلاقة ايش بتقول every prime divides N ال prime اللي بيقسم N بيقسم مين بيقسم M ال P واحد ألف واحد مش prime", "tokens": [10721, 8315, 5551, 39648, 1975, 2655, 5172, 11242, 1211, 1057, 295, 778, 296, 300, 366, 5044, 813, 420, 2681, 281, 419, 7485, 5296, 10721, 5296, 10721, 3714, 6027, 2407, 8592, 11203, 995, 28671, 3714, 43020, 6055, 3794, 45865, 11296, 10874, 3215, 11296, 1975, 2407, 6055, 3794, 45865, 11296, 1975, 2407, 1975, 11622, 2288, 9640, 9154, 11296, 13672, 1829, 10874, 47302, 2423, 4386, 5296, 10721, 18863, 15040, 28671, 3714, 29245, 23328, 3660, 18863, 15040, 28671, 1975, 1829, 8592, 39894, 39648, 633, 5835, 41347, 426, 2423, 5835, 13672, 1829, 4724, 1829, 4587, 38251, 426, 4724, 1829, 4587, 38251, 3714, 9957, 4724, 1829, 4587, 38251, 376, 2423, 430, 36764, 24401, 5551, 46538, 36764, 24401, 37893, 5835], "avg_logprob": -0.31990131448235426, "compression_ratio": 1.6875, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2435.38, "end": 2435.68, "word": "أنا", "probability": 0.531494140625}, {"start": 2435.68, "end": 2435.94, "word": " أقول", "probability": 0.831298828125}, {"start": 2435.94, "end": 2436.56, "word": " اتفضل", "probability": 0.828125}, {"start": 2436.56, "end": 2437.14, "word": " All", "probability": 0.130615234375}, {"start": 2437.14, "end": 2437.32, "word": " of", "probability": 0.900390625}, {"start": 2437.32, "end": 2437.76, "word": " betas", "probability": 0.6839599609375}, {"start": 2437.76, "end": 2438.02, "word": " that", "probability": 0.76025390625}, {"start": 2438.02, "end": 2438.3, "word": " are", "probability": 0.93994140625}, {"start": 2438.3, "end": 2439.56, "word": " greater", "probability": 0.79931640625}, {"start": 2439.56, "end": 2439.84, "word": " than", "probability": 0.94580078125}, {"start": 2439.84, "end": 2439.98, "word": " or", "probability": 0.94384765625}, {"start": 2439.98, "end": 2440.26, "word": " equal", "probability": 0.91259765625}, {"start": 2440.26, "end": 2440.52, "word": " to", "probability": 0.8623046875}, {"start": 2440.52, "end": 2440.94, "word": " alphas", "probability": 0.58782958984375}, {"start": 2440.94, "end": 2441.6, "word": " لأ", "probability": 0.76416015625}, {"start": 2441.6, "end": 2442.4, "word": " لأ", "probability": 0.83154296875}, {"start": 2442.4, "end": 2442.62, "word": " مالوش", "probability": 0.589111328125}, {"start": 2442.62, "end": 2443.36, "word": " علاقة", "probability": 0.9749348958333334}, {"start": 2443.36, "end": 2444.06, "word": " ممكن", "probability": 0.6279296875}, {"start": 2444.06, "end": 2444.48, "word": " تسويها", "probability": 0.865478515625}, {"start": 2444.48, "end": 2444.86, "word": " جدها", "probability": 0.8328450520833334}, {"start": 2444.86, "end": 2444.98, "word": " او", "probability": 0.691650390625}, {"start": 2444.98, "end": 2445.42, "word": " تسويها", "probability": 0.8935546875}, {"start": 2445.42, "end": 2445.68, "word": " او", "probability": 0.847412109375}, {"start": 2445.68, "end": 2446.04, "word": " ازرار", "probability": 0.716064453125}, {"start": 2446.04, "end": 2446.46, "word": " منها", "probability": 0.9912109375}, {"start": 2446.46, "end": 2446.84, "word": " اللي", "probability": 0.837158203125}, {"start": 2446.84, "end": 2447.5, "word": " جاي", "probability": 0.6671142578125}, {"start": 2447.5, "end": 2447.72, "word": " ال", "probability": 0.402099609375}, {"start": 2447.72, "end": 2448.26, "word": " ..", "probability": 0.50146484375}, {"start": 2448.26, "end": 2450.68, "word": " لأ", "probability": 0.46112060546875}, {"start": 2450.68, "end": 2450.96, "word": " العلاقة", "probability": 0.9309895833333334}, {"start": 2450.96, "end": 2451.54, "word": " موجودة", "probability": 0.975341796875}, {"start": 2451.54, "end": 2452.38, "word": " العلاقة", "probability": 0.94580078125}, {"start": 2452.38, "end": 2452.56, "word": " ايش", "probability": 0.7643229166666666}, {"start": 2452.56, "end": 2452.92, "word": " بتقول", "probability": 0.92529296875}, {"start": 2452.92, "end": 2453.32, "word": " every", "probability": 0.61376953125}, {"start": 2453.32, "end": 2453.74, "word": " prime", "probability": 0.86376953125}, {"start": 2453.74, "end": 2454.34, "word": " divides", "probability": 0.9150390625}, {"start": 2454.34, "end": 2454.7, "word": " N", "probability": 0.39306640625}, {"start": 2454.7, "end": 2455.32, "word": " ال", "probability": 0.83837890625}, {"start": 2455.32, "end": 2455.74, "word": " prime", "probability": 0.65869140625}, {"start": 2455.74, "end": 2456.8, "word": " اللي", "probability": 0.79248046875}, {"start": 2456.8, "end": 2457.16, "word": " بيقسم", "probability": 0.91748046875}, {"start": 2457.16, "end": 2457.48, "word": " N", "probability": 0.86279296875}, {"start": 2457.48, "end": 2458.46, "word": " بيقسم", "probability": 0.80517578125}, {"start": 2458.46, "end": 2458.9, "word": " مين", "probability": 0.56536865234375}, {"start": 2458.9, "end": 2459.72, "word": " بيقسم", "probability": 0.8739013671875}, {"start": 2459.72, "end": 2459.98, "word": " M", "probability": 0.71240234375}, {"start": 2459.98, "end": 2460.48, "word": " ال", "probability": 0.953125}, {"start": 2460.48, "end": 2460.68, "word": " P", "probability": 0.4091796875}, {"start": 2460.68, "end": 2461.16, "word": " واحد", "probability": 0.79833984375}, {"start": 2461.16, "end": 2461.42, "word": " ألف", "probability": 0.6236572265625}, {"start": 2461.42, "end": 2461.94, "word": " واحد", "probability": 0.849853515625}, {"start": 2461.94, "end": 2462.3, "word": " مش", "probability": 0.97607421875}, {"start": 2462.3, "end": 2462.66, "word": " prime", "probability": 0.2939453125}], "temperature": 1.0}, {"id": 92, "seek": 248769, "start": 2463.82, "end": 2487.7, "text": "الـPrime Mean هو الـP1 إذا بدو يكون الأسس هذه في ذاتة في N والـP1 عند PR أسس M ولا علاقة بين الأسس المهم أن يكون عند P1 عند PR strictly أكبر من 0 عشان نضمن وجود الـP زدولة و N في الـN واضح؟ ماشي الحل", "tokens": [6027, 39184, 47, 5565, 68, 12302, 31439, 2423, 39184, 47, 16, 11933, 15730, 47525, 2407, 7251, 30544, 16247, 3794, 3794, 29538, 8978, 29910, 9307, 3660, 8978, 426, 16070, 39184, 47, 16, 43242, 11568, 5551, 3794, 3794, 376, 49429, 11203, 995, 28671, 49374, 16247, 3794, 3794, 9673, 16095, 14739, 7251, 30544, 43242, 430, 16, 43242, 11568, 20792, 5551, 4117, 26890, 9154, 1958, 6225, 8592, 7649, 8717, 11242, 27842, 49610, 23328, 2423, 39184, 47, 30767, 3215, 12610, 3660, 4032, 426, 8978, 2423, 39184, 45, 4032, 46958, 5016, 22807, 3714, 33599, 1829, 21542, 1211], "avg_logprob": -0.3126698505619298, "compression_ratio": 1.621212121212121, "no_speech_prob": 5.602836608886719e-06, "words": [{"start": 2463.82, "end": 2464.38, "word": "الـPrime", "probability": 0.5303466796875}, {"start": 2464.38, "end": 2464.52, "word": " Mean", "probability": 0.474609375}, {"start": 2464.52, "end": 2464.88, "word": " هو", "probability": 0.9091796875}, {"start": 2464.88, "end": 2465.74, "word": " الـP1", "probability": 0.8072509765625}, {"start": 2465.74, "end": 2466.54, "word": " إذا", "probability": 0.604248046875}, {"start": 2466.54, "end": 2466.9, "word": " بدو", "probability": 0.23834228515625}, {"start": 2466.9, "end": 2467.16, "word": " يكون", "probability": 0.992431640625}, {"start": 2467.16, "end": 2467.96, "word": " الأسس", "probability": 0.8946940104166666}, {"start": 2467.96, "end": 2468.16, "word": " هذه", "probability": 0.2410888671875}, {"start": 2468.16, "end": 2469.34, "word": " في", "probability": 0.43017578125}, {"start": 2469.34, "end": 2470.86, "word": " ذاتة", "probability": 0.8512369791666666}, {"start": 2470.86, "end": 2470.98, "word": " في", "probability": 0.85986328125}, {"start": 2470.98, "end": 2471.22, "word": " N", "probability": 0.38427734375}, {"start": 2471.22, "end": 2472.5, "word": " والـP1", "probability": 0.7713623046875}, {"start": 2472.5, "end": 2472.72, "word": " عند", "probability": 0.71875}, {"start": 2472.72, "end": 2473.1, "word": " PR", "probability": 0.42919921875}, {"start": 2473.1, "end": 2473.48, "word": " أسس", "probability": 0.9454752604166666}, {"start": 2473.48, "end": 2473.72, "word": " M", "probability": 0.58984375}, {"start": 2473.72, "end": 2474.24, "word": " ولا", "probability": 0.623046875}, {"start": 2474.24, "end": 2474.66, "word": " علاقة", "probability": 0.98291015625}, {"start": 2474.66, "end": 2474.96, "word": " بين", "probability": 0.94873046875}, {"start": 2474.96, "end": 2475.46, "word": " الأسس", "probability": 0.98291015625}, {"start": 2475.46, "end": 2476.52, "word": " المهم", "probability": 0.9755859375}, {"start": 2476.52, "end": 2476.76, "word": " أن", "probability": 0.70751953125}, {"start": 2476.76, "end": 2477.28, "word": " يكون", "probability": 0.968994140625}, {"start": 2477.28, "end": 2478.14, "word": " عند", "probability": 0.6982421875}, {"start": 2478.14, "end": 2478.84, "word": " P1", "probability": 0.888427734375}, {"start": 2478.84, "end": 2479.12, "word": " عند", "probability": 0.71728515625}, {"start": 2479.12, "end": 2479.7, "word": " PR", "probability": 0.966796875}, {"start": 2479.7, "end": 2480.62, "word": " strictly", "probability": 0.5283203125}, {"start": 2480.62, "end": 2481.16, "word": " أكبر", "probability": 0.9529622395833334}, {"start": 2481.16, "end": 2481.4, "word": " من", "probability": 0.9951171875}, {"start": 2481.4, "end": 2481.76, "word": " 0", "probability": 0.6650390625}, {"start": 2481.76, "end": 2482.66, "word": " عشان", "probability": 0.8898111979166666}, {"start": 2482.66, "end": 2483.22, "word": " نضمن", "probability": 0.9651692708333334}, {"start": 2483.22, "end": 2483.82, "word": " وجود", "probability": 0.985595703125}, {"start": 2483.82, "end": 2484.28, "word": " الـP", "probability": 0.83349609375}, {"start": 2484.28, "end": 2484.8, "word": " زدولة", "probability": 0.486663818359375}, {"start": 2484.8, "end": 2485.02, "word": " و", "probability": 0.66650390625}, {"start": 2485.02, "end": 2485.2, "word": " N", "probability": 0.5498046875}, {"start": 2485.2, "end": 2485.7, "word": " في", "probability": 0.955078125}, {"start": 2485.7, "end": 2485.96, "word": " الـN", "probability": 0.537841796875}, {"start": 2485.96, "end": 2487.14, "word": " واضح؟", "probability": 0.868896484375}, {"start": 2487.14, "end": 2487.44, "word": " ماشي", "probability": 0.9109700520833334}, {"start": 2487.44, "end": 2487.7, "word": " الحل", "probability": 0.84765625}], "temperature": 1.0}, {"id": 93, "seek": 251759, "start": 2488.15, "end": 2517.59, "text": "نأتي الآن بعد ما حددنا اللي هي الـ M والـ N بيصير الأمر سهل الآن شوف الآن احسب then Phi of M في N بيساوي الـ M في N نفسها معايا يا شباب في واحد ناقص واحد على بي واحد فاهمين", "tokens": [1863, 10721, 31371, 6024, 48506, 39182, 19446, 11331, 3215, 3215, 8315, 13672, 1829, 39896, 2423, 39184, 376, 16070, 39184, 426, 4724, 1829, 9381, 13546, 16247, 29973, 8608, 3224, 1211, 6024, 48506, 13412, 38688, 6024, 48506, 1975, 5016, 35457, 550, 41435, 295, 376, 8978, 426, 4724, 1829, 3794, 995, 45865, 2423, 39184, 376, 8978, 426, 8717, 36178, 11296, 20449, 995, 25528, 35186, 13412, 3555, 16758, 8978, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 4724, 1829, 36764, 24401, 6156, 995, 16095, 9957], "avg_logprob": -0.29423946429447956, "compression_ratio": 1.680232558139535, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2488.15, "end": 2488.53, "word": "نأتي", "probability": 0.4042154947916667}, {"start": 2488.53, "end": 2488.73, "word": " الآن", "probability": 0.6383056640625}, {"start": 2488.73, "end": 2488.89, "word": " بعد", "probability": 0.7138671875}, {"start": 2488.89, "end": 2489.01, "word": " ما", "probability": 0.6533203125}, {"start": 2489.01, "end": 2489.67, "word": " حددنا", "probability": 0.9422607421875}, {"start": 2489.67, "end": 2490.51, "word": " اللي", "probability": 0.756591796875}, {"start": 2490.51, "end": 2490.93, "word": " هي", "probability": 0.88134765625}, {"start": 2490.93, "end": 2491.25, "word": " الـ", "probability": 0.6427001953125}, {"start": 2491.25, "end": 2491.39, "word": " M", "probability": 0.327392578125}, {"start": 2491.39, "end": 2491.63, "word": " والـ", "probability": 0.677734375}, {"start": 2491.63, "end": 2491.77, "word": " N", "probability": 0.9296875}, {"start": 2491.77, "end": 2492.19, "word": " بيصير", "probability": 0.808837890625}, {"start": 2492.19, "end": 2492.51, "word": " الأمر", "probability": 0.92333984375}, {"start": 2492.51, "end": 2492.87, "word": " سهل", "probability": 0.9949544270833334}, {"start": 2492.87, "end": 2493.27, "word": " الآن", "probability": 0.6890869140625}, {"start": 2493.27, "end": 2494.07, "word": " شوف", "probability": 0.754638671875}, {"start": 2494.07, "end": 2494.37, "word": " الآن", "probability": 0.75830078125}, {"start": 2494.37, "end": 2494.93, "word": " احسب", "probability": 0.8924153645833334}, {"start": 2494.93, "end": 2497.77, "word": " then", "probability": 0.478515625}, {"start": 2497.77, "end": 2499.59, "word": " Phi", "probability": 0.1512451171875}, {"start": 2499.59, "end": 2500.07, "word": " of", "probability": 0.86474609375}, {"start": 2500.07, "end": 2500.49, "word": " M", "probability": 0.70654296875}, {"start": 2500.49, "end": 2502.03, "word": " في", "probability": 0.6611328125}, {"start": 2502.03, "end": 2502.31, "word": " N", "probability": 0.78759765625}, {"start": 2502.31, "end": 2504.25, "word": " بيساوي", "probability": 0.80419921875}, {"start": 2504.25, "end": 2506.29, "word": " الـ", "probability": 0.84130859375}, {"start": 2506.29, "end": 2506.47, "word": " M", "probability": 0.76171875}, {"start": 2506.47, "end": 2506.61, "word": " في", "probability": 0.95703125}, {"start": 2506.61, "end": 2506.79, "word": " N", "probability": 0.94921875}, {"start": 2506.79, "end": 2508.39, "word": " نفسها", "probability": 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2519.2, "end": 2544.86, "text": "فى لما أصل 1 ناقص 1 على PR فى 1 ناقص 1 على Q1 لما أصل عند 1 ناقص 1 على QS لأن العوامل اللى فى الـ N N هي عبارة عن P1 PR P1 Q1 لاندنين لعند QS واضح هذا اللى هى الـ N في M ويسوى", "tokens": [5172, 7578, 5296, 15042, 5551, 36520, 502, 8717, 995, 4587, 9381, 502, 15844, 11568, 6156, 7578, 502, 8717, 995, 4587, 9381, 502, 15844, 1249, 16, 5296, 15042, 5551, 36520, 43242, 502, 8717, 995, 4587, 9381, 502, 15844, 1249, 50, 5296, 33456, 18863, 2407, 10943, 1211, 13672, 7578, 6156, 7578, 2423, 39184, 426, 426, 39896, 6225, 3555, 9640, 3660, 18871, 430, 16, 11568, 430, 16, 1249, 16, 5296, 7649, 3215, 1863, 9957, 5296, 3615, 41260, 1249, 50, 4032, 46958, 5016, 23758, 13672, 7578, 8032, 7578, 2423, 39184, 426, 8978, 376, 4032, 1829, 3794, 2407, 7578], "avg_logprob": -0.27154604698482315, "compression_ratio": 1.8223684210526316, "no_speech_prob": 5.245208740234375e-06, "words": [{"start": 2519.2, "end": 2520.04, "word": "فى", "probability": 0.3916015625}, {"start": 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2754.39, "word": " نصل", "probability": 0.74462890625}, {"start": 2754.39, "end": 2755.19, "word": " لcontradiction", "probability": 0.693115234375}], "temperature": 1.0}, {"id": 102, "seek": 278851, "start": 2761.47, "end": 2788.51, "text": "اعتبار ان الـ N ليس كتابة لكل جمهور ثم الـ N يمكن أن يكون كتابة ك", "tokens": [995, 34268, 3555, 9640, 16472, 2423, 39184, 426, 32239, 3794, 9122, 2655, 16758, 3660, 5296, 28820, 10874, 2304, 3224, 13063, 38637, 2304, 2423, 39184, 426, 7251, 43020, 14739, 7251, 30544, 9122, 2655, 16758, 3660, 9122], "avg_logprob": -0.6953124784761004, "compression_ratio": 1.3452380952380953, "no_speech_prob": 0.0, "words": [{"start": 2761.47, "end": 2762.87, "word": "اعتبار", "probability": 0.486663818359375}, {"start": 2762.87, "end": 2764.27, "word": " ان", "probability": 0.50439453125}, {"start": 2764.27, "end": 2767.03, "word": " الـ", "probability": 0.374267578125}, {"start": 2767.03, "end": 2767.39, "word": " N", "probability": 0.51806640625}, {"start": 2767.39, "end": 2772.19, "word": " ليس", "probability": 0.798095703125}, {"start": 2772.19, "end": 2774.99, "word": " كتابة", "probability": 0.44244384765625}, {"start": 2774.99, "end": 2777.79, "word": " لكل", "probability": 0.655029296875}, {"start": 2777.79, "end": 2780.55, "word": " جمهور", "probability": 0.4890594482421875}, {"start": 2780.55, "end": 2782.03, "word": " ثم", "probability": 0.60211181640625}, {"start": 2782.03, "end": 2782.35, "word": " الـ", "probability": 0.560302734375}, {"start": 2782.35, "end": 2783.83, "word": " N", "probability": 0.8447265625}, {"start": 2783.83, "end": 2784.17, "word": " يمكن", "probability": 0.853515625}, {"start": 2784.17, "end": 2784.17, "word": " أن", "probability": 0.46142578125}, {"start": 2784.17, "end": 2784.39, "word": " يكون", "probability": 0.65478515625}, {"start": 2784.39, "end": 2784.83, "word": " كتابة", "probability": 0.8251953125}, {"start": 2784.83, "end": 2788.51, "word": " ك", "probability": 0.60498046875}], "temperature": 1.0}, {"id": 103, "seek": 280383, "start": 2789.05, "end": 2803.83, "text": "ان يعني في على الأقل ايه شماله في واحد من الأسس اتنين او اكثر يعني في في داخله ايه شماله مربع كامل يعني في في داخل الان مربع كامل", "tokens": [7649, 37495, 22653, 8978, 15844, 16247, 4587, 1211, 1975, 1829, 3224, 13412, 2304, 6027, 3224, 8978, 36764, 24401, 9154, 16247, 3794, 3794, 1975, 2655, 1863, 9957, 1975, 2407, 1975, 4117, 49115, 37495, 22653, 8978, 8978, 11778, 47283, 43761, 1975, 1829, 3224, 13412, 2304, 6027, 3224, 3714, 25513, 3615, 9122, 10943, 1211, 37495, 22653, 8978, 8978, 11778, 47283, 1211, 2423, 7649, 3714, 25513, 3615, 9122, 10943, 1211], "avg_logprob": -0.15508396145123154, "compression_ratio": 2.0, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 2789.05, "end": 2789.45, "word": "ان", "probability": 0.2159423828125}, {"start": 2789.45, "end": 2790.87, "word": " يعني", "probability": 0.7230224609375}, {"start": 2790.87, "end": 2791.05, "word": " في", "probability": 0.8916015625}, {"start": 2791.05, "end": 2791.19, "word": " على", "probability": 0.62353515625}, {"start": 2791.19, "end": 2791.67, "word": " الأقل", "probability": 0.978515625}, {"start": 2791.67, "end": 2791.91, "word": " ايه", "probability": 0.671142578125}, {"start": 2791.91, "end": 2792.43, "word": " شماله", "probability": 0.9534912109375}, {"start": 2792.43, "end": 2793.51, "word": " في", "probability": 0.74462890625}, {"start": 2793.51, "end": 2794.01, "word": " واحد", "probability": 0.9970703125}, {"start": 2794.01, "end": 2794.23, "word": " من", "probability": 0.9931640625}, {"start": 2794.23, "end": 2794.95, "word": " الأسس", "probability": 0.8108723958333334}, {"start": 2794.95, "end": 2796.09, "word": " اتنين", "probability": 0.9697265625}, {"start": 2796.09, "end": 2796.29, "word": " او", "probability": 0.86181640625}, {"start": 2796.29, "end": 2796.73, "word": " اكثر", "probability": 0.7652994791666666}, {"start": 2796.73, "end": 2798.57, "word": " يعني", "probability": 0.631103515625}, {"start": 2798.57, "end": 2798.75, "word": " في", "probability": 0.9697265625}, {"start": 2798.75, "end": 2798.91, "word": " في", "probability": 0.5361328125}, {"start": 2798.91, "end": 2799.25, "word": " داخله", "probability": 0.8421223958333334}, {"start": 2799.25, "end": 2799.41, "word": " ايه", "probability": 0.9337565104166666}, {"start": 2799.41, "end": 2799.95, "word": " شماله", "probability": 0.9639892578125}, {"start": 2799.95, "end": 2800.75, "word": " مربع", "probability": 0.93310546875}, {"start": 2800.75, "end": 2801.09, "word": " كامل", "probability": 0.9900716145833334}, {"start": 2801.09, "end": 2801.31, "word": " يعني", "probability": 0.926025390625}, {"start": 2801.31, "end": 2801.47, "word": " في", "probability": 0.9697265625}, {"start": 2801.47, "end": 2801.63, "word": " في", "probability": 0.89501953125}, {"start": 2801.63, "end": 2801.99, "word": " داخل", "probability": 0.9768880208333334}, {"start": 2801.99, "end": 2802.37, "word": " الان", "probability": 0.979736328125}, {"start": 2802.37, "end": 2803.21, "word": " مربع", "probability": 0.99462890625}, {"start": 2803.21, "end": 2803.83, "word": " كامل", "probability": 0.9972330729166666}], "temperature": 1.0}, {"id": 104, "seek": 282515, "start": 2804.35, "end": 2825.15, "text": "واضح square of three معناته أنه مافيش ولا مربع كامل في داخل اللي هو الان يعني معناته أن can be written as بي واحد بي اتنين بي تلتة بي ار إلى لعين بي ار ولا واحد من هدولة متكرر يعني كلهم distinct primes هذا معناه square of three", "tokens": [2407, 46958, 5016, 3732, 295, 1045, 20449, 8315, 47395, 14739, 3224, 19446, 41185, 8592, 49429, 3714, 25513, 3615, 9122, 10943, 1211, 8978, 11778, 47283, 1211, 13672, 1829, 31439, 2423, 7649, 37495, 22653, 20449, 8315, 47395, 14739, 393, 312, 3720, 382, 4724, 1829, 36764, 24401, 4724, 1829, 1975, 2655, 1863, 9957, 4724, 1829, 6055, 1211, 2655, 3660, 4724, 1829, 1975, 2288, 30731, 5296, 3615, 9957, 4724, 1829, 1975, 2288, 49429, 36764, 24401, 9154, 8032, 3215, 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0.9833984375}, {"start": 2808.19, "end": 2808.59, "word": " كامل", "probability": 0.9856770833333334}, {"start": 2808.59, "end": 2808.69, "word": " في", "probability": 0.7802734375}, {"start": 2808.69, "end": 2809.61, "word": " داخل", "probability": 0.8321940104166666}, {"start": 2809.61, "end": 2809.87, "word": " اللي", "probability": 0.796875}, {"start": 2809.87, "end": 2810.11, "word": " هو", "probability": 0.98388671875}, {"start": 2810.11, "end": 2810.35, "word": " الان", "probability": 0.753173828125}, {"start": 2810.35, "end": 2810.63, "word": " يعني", "probability": 0.897705078125}, {"start": 2810.63, "end": 2811.17, "word": " معناته", "probability": 0.7677408854166666}, {"start": 2811.17, "end": 2811.55, "word": " أن", "probability": 0.62548828125}, {"start": 2811.55, "end": 2812.17, "word": " can", "probability": 0.5068359375}, {"start": 2812.17, "end": 2812.41, "word": " be", "probability": 0.9296875}, {"start": 2812.41, "end": 2812.71, "word": " written", "probability": 0.90185546875}, {"start": 2812.71, "end": 2812.99, "word": " as", "probability": 0.88818359375}, {"start": 2812.99, "end": 2813.23, "word": " بي", "probability": 0.37841796875}, {"start": 2813.23, "end": 2813.59, "word": " واحد", "probability": 0.908447265625}, {"start": 2813.59, "end": 2813.85, "word": " بي", "probability": 0.705078125}, {"start": 2813.85, "end": 2814.15, "word": " اتنين", "probability": 0.9183349609375}, {"start": 2814.15, "end": 2814.37, "word": " بي", "probability": 0.841064453125}, {"start": 2814.37, "end": 2814.75, "word": " تلتة", "probability": 0.887451171875}, {"start": 2814.75, "end": 2814.93, "word": " بي", "probability": 0.923583984375}, {"start": 2814.93, "end": 2815.21, "word": " ار", "probability": 0.81103515625}, {"start": 2815.21, "end": 2815.75, "word": " إلى", "probability": 0.397705078125}, {"start": 2815.75, "end": 2817.23, "word": " لعين", "probability": 0.7068684895833334}, {"start": 2817.23, "end": 2817.49, "word": " بي", "probability": 0.947021484375}, {"start": 2817.49, "end": 2817.93, "word": " ار", "probability": 0.8916015625}, {"start": 2817.93, "end": 2818.91, "word": " ولا", "probability": 0.85205078125}, {"start": 2818.91, "end": 2819.61, "word": " واحد", "probability": 0.993896484375}, {"start": 2819.61, "end": 2819.91, "word": " من", "probability": 0.9912109375}, {"start": 2819.91, "end": 2820.45, "word": " هدولة", "probability": 0.792724609375}, {"start": 2820.45, "end": 2821.03, "word": " متكرر", "probability": 0.9762369791666666}, {"start": 2821.03, "end": 2821.27, "word": " يعني", "probability": 0.93310546875}, {"start": 2821.27, "end": 2821.61, "word": " كلهم", "probability": 0.5203857421875}, {"start": 2821.61, "end": 2822.11, "word": " distinct", "probability": 0.96533203125}, {"start": 2822.11, "end": 2823.67, "word": " primes", "probability": 0.58026123046875}, {"start": 2823.67, "end": 2824.13, "word": " هذا", "probability": 0.54296875}, {"start": 2824.13, "end": 2824.43, "word": " معناه", "probability": 0.795654296875}, {"start": 2824.43, "end": 2824.71, "word": " square", "probability": 0.7451171875}, {"start": 2824.71, "end": 2824.99, "word": " of", "probability": 0.9443359375}, {"start": 2824.99, "end": 2825.15, "word": " three", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 105, "seek": 284903, "start": 2825.61, "end": 2849.03, "text": "فاهمين مش بحكي الان is not square free معناته انه ال can be written as بي واحد كي واحد بي ار بي اتنين كي اتنين لعين بي ار كي اش ار وفي واحد على الاقل من الأسس هذولة على الاقل كي واحد مثلا اكبر او يساونين اتنين معايا؟", "tokens": [5172, 995, 16095, 9957, 37893, 4724, 5016, 4117, 1829, 2423, 7649, 307, 406, 3732, 1737, 20449, 8315, 47395, 16472, 3224, 2423, 393, 312, 3720, 382, 4724, 1829, 36764, 24401, 9122, 1829, 36764, 24401, 4724, 1829, 1975, 2288, 4724, 1829, 1975, 2655, 1863, 9957, 9122, 1829, 1975, 2655, 1863, 9957, 5296, 3615, 9957, 4724, 1829, 1975, 2288, 9122, 1829, 1975, 8592, 1975, 2288, 4032, 41185, 36764, 24401, 15844, 42963, 4587, 1211, 9154, 16247, 3794, 3794, 8032, 8848, 12610, 3660, 15844, 42963, 4587, 1211, 9122, 1829, 36764, 24401, 50113, 15040, 1975, 4117, 26890, 1975, 2407, 7251, 3794, 995, 11536, 9957, 1975, 2655, 1863, 9957, 20449, 995, 25528, 22807], "avg_logprob": -0.28212617658009037, "compression_ratio": 1.8256410256410256, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 2825.61, "end": 2825.97, "word": "فاهمين", "probability": 0.6535568237304688}, {"start": 2825.97, "end": 2826.05, "word": " مش", "probability": 0.13232421875}, {"start": 2826.05, "end": 2826.39, "word": " بحكي", "probability": 0.88427734375}, {"start": 2826.39, "end": 2827.67, "word": " الان", "probability": 0.4903564453125}, {"start": 2827.67, "end": 2827.81, "word": " is", "probability": 0.43701171875}, {"start": 2827.81, "end": 2828.03, "word": " not", "probability": 0.9580078125}, {"start": 2828.03, "end": 2828.39, "word": " square", "probability": 0.65966796875}, {"start": 2828.39, "end": 2828.71, "word": " free", "probability": 0.5302734375}, {"start": 2828.71, "end": 2829.27, "word": " معناته", "probability": 0.8192545572916666}, {"start": 2829.27, "end": 2829.53, "word": " انه", "probability": 0.55078125}, {"start": 2829.53, "end": 2829.67, "word": " ال", "probability": 0.352783203125}, {"start": 2829.67, "end": 2829.83, "word": " can", "probability": 0.307373046875}, {"start": 2829.83, "end": 2830.01, "word": " be", "probability": 0.93798828125}, {"start": 2830.01, "end": 2830.27, "word": " written", "probability": 0.91650390625}, {"start": 2830.27, "end": 2830.65, "word": " as", "probability": 0.9130859375}, {"start": 2830.65, "end": 2831.25, "word": " بي", "probability": 0.501953125}, {"start": 2831.25, "end": 2831.69, "word": " واحد", "probability": 0.9677734375}, {"start": 2831.69, "end": 2831.97, "word": " كي", "probability": 0.959228515625}, {"start": 2831.97, "end": 2832.39, "word": " واحد", "probability": 0.98583984375}, {"start": 2832.39, "end": 2833.03, "word": " بي", "probability": 0.752197265625}, {"start": 2833.03, "end": 2833.41, "word": " ار", "probability": 0.656494140625}, {"start": 2833.41, "end": 2833.95, "word": " بي", "probability": 0.78076171875}, {"start": 2833.95, "end": 2834.45, "word": " اتنين", "probability": 0.953369140625}, {"start": 2834.45, "end": 2835.31, "word": " كي", "probability": 0.86376953125}, {"start": 2835.31, "end": 2835.67, "word": " اتنين", "probability": 0.979736328125}, {"start": 2835.67, "end": 2836.03, "word": " لعين", "probability": 0.8380533854166666}, {"start": 2836.03, "end": 2836.43, "word": " بي", "probability": 0.949951171875}, {"start": 2836.43, "end": 2836.89, "word": " ار", "probability": 0.921630859375}, {"start": 2836.89, "end": 2837.27, "word": " كي", "probability": 0.88330078125}, {"start": 2837.27, "end": 2837.73, "word": " اش", "probability": 0.640869140625}, {"start": 2837.73, "end": 2838.45, "word": " ار", "probability": 0.869384765625}, {"start": 2838.45, "end": 2839.05, "word": " وفي", "probability": 0.74609375}, {"start": 2839.05, "end": 2839.53, "word": " واحد", "probability": 0.986572265625}, {"start": 2839.53, "end": 2839.69, "word": " على", "probability": 0.8388671875}, {"start": 2839.69, "end": 2840.07, "word": " الاقل", "probability": 0.8201497395833334}, {"start": 2840.07, "end": 2840.29, "word": " من", "probability": 0.98779296875}, {"start": 2840.29, "end": 2840.75, "word": " الأسس", "probability": 0.7915852864583334}, {"start": 2840.75, "end": 2841.77, "word": " هذولة", "probability": 0.83837890625}, {"start": 2841.77, "end": 2842.29, "word": " على", "probability": 0.6357421875}, {"start": 2842.29, "end": 2842.81, "word": " الاقل", "probability": 0.8829752604166666}, {"start": 2842.81, "end": 2843.37, "word": " كي", "probability": 0.943603515625}, {"start": 2843.37, "end": 2843.79, "word": " واحد", "probability": 0.981689453125}, {"start": 2843.79, "end": 2844.25, "word": " مثلا", "probability": 0.93798828125}, {"start": 2844.25, "end": 2845.09, "word": " اكبر", "probability": 0.9259440104166666}, {"start": 2845.09, "end": 2845.31, "word": " او", "probability": 0.8935546875}, {"start": 2845.31, "end": 2846.15, "word": " يساونين", "probability": 0.832861328125}, {"start": 2846.15, "end": 2847.33, "word": " اتنين", "probability": 0.989013671875}, {"start": 2847.33, "end": 2849.03, "word": " معايا؟", "probability": 0.737823486328125}], "temperature": 1.0}, {"id": 106, "seek": 287108, "start": 2860.48, "end": 2871.08, "text": "في داخله مربع كامل من الـprimes يعني في واحد من الـprimes الأس تبعه اتنين او اكثر", "tokens": [41185, 11778, 47283, 43761, 3714, 25513, 3615, 9122, 10943, 1211, 9154, 2423, 39184, 1424, 1532, 37495, 22653, 8978, 36764, 24401, 9154, 2423, 39184, 1424, 1532, 16247, 3794, 6055, 3555, 3615, 3224, 1975, 2655, 1863, 9957, 1975, 2407, 1975, 4117, 49115], "avg_logprob": -0.31402439605898974, "compression_ratio": 1.3106796116504855, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2860.48, "end": 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" KR", "probability": 0.63330078125}, {"start": 2906.39, "end": 2906.95, "word": " و", "probability": 0.56884765625}, {"start": 2906.95, "end": 2907.63, "word": " K1", "probability": 0.64306640625}, {"start": 2907.63, "end": 2907.97, "word": " أكبر", "probability": 0.8702799479166666}, {"start": 2907.97, "end": 2908.13, "word": " أو", "probability": 0.7529296875}, {"start": 2908.13, "end": 2908.47, "word": " ساوى", "probability": 0.6842041015625}, {"start": 2908.47, "end": 2908.75, "word": " مين", "probability": 0.763916015625}, {"start": 2908.75, "end": 2909.27, "word": " اتنين", "probability": 0.9166259765625}, {"start": 2909.27, "end": 2910.03, "word": " ال", "probability": 0.81787109375}, {"start": 2910.03, "end": 2910.31, "word": " N", "probability": 0.60498046875}, {"start": 2910.31, "end": 2910.49, "word": " مش", "probability": 0.84423828125}, {"start": 2910.49, "end": 2910.75, "word": " شرط", "probability": 0.9728190104166666}, {"start": 2910.75, "end": 2910.91, "word": " انها", "probability": 0.5162353515625}, {"start": 2910.91, "end": 2911.13, "word": " تكون", "probability": 0.983642578125}, {"start": 2911.13, "end": 2911.53, "word": " مكتوبة", "probability": 0.96064453125}, {"start": 2911.53, "end": 2911.61, "word": " في", "probability": 0.81640625}, {"start": 2911.61, "end": 2911.67, "word": " ال", "probability": 0.499267578125}, {"start": 2911.67, "end": 2911.99, "word": " canonical", "probability": 0.87841796875}, {"start": 2911.99, "end": 2912.51, "word": " form", "probability": 0.90625}], "temperature": 1.0}, {"id": 109, "seek": 294034, "start": 2913.38, "end": 2940.34, "text": "الان مش شرط يكون P1 P2 P3 تصعدي لأ لأ لأ ماكننا الشيء بس فرضنا ان P1 K1 حيث ال K1 اكبر او ساوي مين اكبر او ساوي اتنين طيب الان بدنا اللي هو نشوف كيف يكون فيه تناقض عند ال 5N ايش هتكسم ال 5N اول شي بنكتبها 5N هتكسم ال N نقص واحد و يساوي خليني احسبها جبالي", "tokens": [6027, 7649, 37893, 13412, 2288, 9566, 7251, 30544, 430, 16, 430, 17, 430, 18, 6055, 9381, 3615, 16254, 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"text": "وإذا بدك حتى لو ما حسبتش يمكن كمان أسهل لنا لو ما حسبناش هيك بدل ما نقعد نحسب مرتين لو كتبت في of بي واحد يمكن أسهل لنا هيك في of بي واحد كواحد في في of التانيات بي اتنين كتنين لعند ال بي ار كار معايا؟", "tokens": [2407, 28814, 15730, 47525, 4117, 11331, 49975, 45164, 19446, 11331, 35457, 2655, 8592, 7251, 43020, 9122, 2304, 7649, 5551, 3794, 3224, 1211, 5296, 8315, 45164, 19446, 11331, 35457, 1863, 33599, 39896, 4117, 47525, 1211, 19446, 8717, 4587, 22488, 8717, 5016, 35457, 3714, 43500, 9957, 45164, 9122, 2655, 3555, 2655, 8978, 295, 4724, 1829, 36764, 24401, 7251, 43020, 5551, 3794, 3224, 1211, 5296, 8315, 39896, 4117, 8978, 295, 4724, 1829, 36764, 24401, 9122, 14407, 24401, 8978, 8978, 295, 16712, 7649, 1829, 9307, 4724, 1829, 1975, 2655, 1863, 9957, 9122, 2655, 1863, 9957, 5296, 3615, 41260, 2423, 4724, 1829, 1975, 2288, 9122, 9640, 20449, 995, 25528, 22807], "avg_logprob": -0.19030071373255747, "compression_ratio": 2.046783625730994, "no_speech_prob": 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"end": 3012.4, "text": "و يساوي بي واحد أس كواحد ناقص واحد في بي واحد ناقص واحد في في بي واحد كتنين لعند بي ار كي ار", "tokens": [2407, 7251, 3794, 995, 45865, 4724, 1829, 36764, 24401, 5551, 3794, 9122, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 8978, 4724, 1829, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 8978, 8978, 4724, 1829, 36764, 24401, 9122, 2655, 1863, 9957, 5296, 3615, 41260, 4724, 1829, 1975, 2288, 9122, 1829, 1975, 2288], "avg_logprob": -0.27255307503466336, "compression_ratio": 1.8409090909090908, "no_speech_prob": 0.0, "words": [{"start": 2989.52, "end": 2989.74, "word": "و", "probability": 0.57568359375}, {"start": 2989.74, "end": 2990.4, "word": " يساوي", "probability": 0.739501953125}, {"start": 2990.4, "end": 2993.68, "word": " بي", "probability": 0.3402099609375}, {"start": 2993.68, "end": 2994.18, "word": " واحد", "probability": 0.92578125}, {"start": 2994.18, "end": 2994.48, "word": " أس", "probability": 0.26171875}, {"start": 2994.48, "end": 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" بتكسب", "probability": 0.8251953125}, {"start": 3124.95, "end": 3125.19, "word": " الـ", "probability": 0.729736328125}, {"start": 3125.19, "end": 3125.43, "word": " N", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 117, "seek": 315225, "start": 3126.41, "end": 3152.25, "text": "مظبوط ولا لأ الـ B1 معامل من أولا من من الـ N الـ N بتنتقل مع بعض hence اللي هو B1 بتجسم N ناقص N ناقص 1 that is B1 بتجسم الواحد contradiction therefore", "tokens": [2304, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 2423, 39184, 363, 16, 20449, 10943, 1211, 9154, 5551, 12610, 995, 9154, 9154, 2423, 39184, 426, 2423, 39184, 426, 39894, 29399, 4587, 1211, 20449, 45030, 11242, 16678, 13672, 1829, 31439, 363, 16, 39894, 7435, 38251, 426, 8717, 995, 4587, 9381, 426, 8717, 995, 4587, 9381, 502, 300, 307, 363, 16, 39894, 7435, 38251, 2423, 14407, 24401, 34937, 4412], "avg_logprob": -0.3852612082637958, "compression_ratio": 1.4458598726114649, "no_speech_prob": 7.748603820800781e-07, "words": 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{"start": 3130.09, "end": 3130.15, "word": " الـ", "probability": 0.3680419921875}, {"start": 3130.15, "end": 3130.39, "word": " N", "probability": 0.759765625}, {"start": 3130.39, "end": 3131.71, "word": " بتنتقل", "probability": 0.6147003173828125}, {"start": 3131.71, "end": 3131.89, "word": " مع", "probability": 0.9892578125}, {"start": 3131.89, "end": 3132.47, "word": " بعض", "probability": 0.991455078125}, {"start": 3132.47, "end": 3133.55, "word": " hence", "probability": 0.4052734375}, {"start": 3133.55, "end": 3134.89, "word": " اللي", "probability": 0.86669921875}, {"start": 3134.89, "end": 3135.17, "word": " هو", "probability": 0.9501953125}, {"start": 3135.17, "end": 3135.99, "word": " B1", "probability": 0.839599609375}, {"start": 3135.99, "end": 3136.61, "word": " بتجسم", "probability": 0.6341959635416666}, {"start": 3136.61, "end": 3137.41, "word": " N", "probability": 0.87548828125}, {"start": 3137.41, "end": 3139.61, "word": " ناقص", "probability": 0.8643798828125}, {"start": 3139.61, "end": 3140.01, "word": " N", "probability": 0.53759765625}, {"start": 3140.01, "end": 3140.59, "word": " ناقص", "probability": 0.982666015625}, {"start": 3140.59, "end": 3141.17, "word": " 1", "probability": 0.73876953125}, {"start": 3141.17, "end": 3142.37, "word": " that", "probability": 0.73876953125}, {"start": 3142.37, "end": 3143.79, "word": " is", "probability": 0.9423828125}, {"start": 3143.79, "end": 3144.99, "word": " B1", "probability": 0.898193359375}, {"start": 3144.99, "end": 3145.47, "word": " بتجسم", "probability": 0.90771484375}, {"start": 3145.47, "end": 3146.25, "word": " الواحد", "probability": 0.709228515625}, {"start": 3146.25, "end": 3148.57, "word": " contradiction", "probability": 0.953125}, {"start": 3148.57, "end": 3152.25, "word": " therefore", "probability": 0.65966796875}], "temperature": 1.0}, {"id": 118, "seek": 317987, "start": 3153.95, "end": 3179.87, "text": "No such exponent K can be more than or equal to Therefore M على صورة B1", "tokens": [4540, 1270, 37871, 591, 393, 312, 544, 813, 420, 2681, 281, 7504, 376, 15844, 20328, 13063, 3660, 363, 16], "avg_logprob": -0.2781249865889549, "compression_ratio": 0.9285714285714286, "no_speech_prob": 0.0, "words": [{"start": 3153.95, "end": 3154.49, "word": "No", "probability": 0.347900390625}, {"start": 3154.49, "end": 3156.05, "word": " such", "probability": 0.7646484375}, {"start": 3156.05, "end": 3158.87, "word": " exponent", "probability": 0.94970703125}, {"start": 3158.87, "end": 3160.13, "word": " K", "probability": 0.285888671875}, {"start": 3160.13, "end": 3161.89, "word": " can", "probability": 0.671875}, {"start": 3161.89, "end": 3163.65, "word": " be", "probability": 0.94189453125}, {"start": 3163.65, "end": 3165.17, "word": " more", "probability": 0.93896484375}, {"start": 3165.17, "end": 3166.71, "word": " than", "probability": 0.95947265625}, {"start": 3166.71, "end": 3167.97, "word": " or", "probability": 0.95458984375}, {"start": 3167.97, "end": 3169.17, "word": " equal", "probability": 0.9140625}, {"start": 3169.17, "end": 3171.45, "word": " to", "probability": 0.9736328125}, {"start": 3171.45, "end": 3173.97, "word": " Therefore", "probability": 0.626953125}, {"start": 3173.97, "end": 3176.43, "word": " M", "probability": 0.72607421875}, {"start": 3176.43, "end": 3178.89, "word": " على", "probability": 0.80615234375}, {"start": 3178.89, "end": 3179.37, "word": " صورة", "probability": 0.86279296875}, {"start": 3179.37, "end": 3179.87, "word": " B1", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 119, "seek": 319080, "start": 3180.92, "end": 3190.8, "text": "بتنين لعند بي ار و بي واحد لعند بي ار are distinct primes", "tokens": [3555, 2655, 1863, 9957, 5296, 3615, 41260, 4724, 1829, 1975, 2288, 4032, 4724, 1829, 36764, 24401, 5296, 3615, 41260, 4724, 1829, 1975, 2288, 366, 10644, 2886, 279], "avg_logprob": -0.34681919536420275, "compression_ratio": 1.1805555555555556, "no_speech_prob": 0.0, "words": [{"start": 3180.92, "end": 3181.74, "word": "بتنين", "probability": 0.63580322265625}, {"start": 3181.74, "end": 3182.18, "word": " لعند", "probability": 0.6653645833333334}, {"start": 3182.18, "end": 3182.42, "word": " بي", "probability": 0.640380859375}, {"start": 3182.42, "end": 3182.9, "word": " ار", "probability": 0.66650390625}, {"start": 3182.9, "end": 3183.54, "word": " و", "probability": 0.4111328125}, {"start": 3183.54, "end": 3183.8, "word": " بي", "probability": 0.943115234375}, {"start": 3183.8, "end": 3184.12, "word": " واحد", "probability": 0.98486328125}, {"start": 3184.12, "end": 3184.42, "word": " لعند", "probability": 0.9493815104166666}, {"start": 3184.42, "end": 3184.68, "word": " بي", "probability": 0.990234375}, {"start": 3184.68, "end": 3185.28, "word": " ار", "probability": 0.966552734375}, {"start": 3185.28, "end": 3186.0, "word": " are", "probability": 0.67138671875}, {"start": 3186.0, "end": 3187.54, "word": " distinct", "probability": 0.9326171875}, {"start": 3187.54, "end": 3190.8, "word": " primes", "probability": 0.5426025390625}], "temperature": 1.0}, {"id": 120, "seek": 321835, "start": 3192.29, "end": 3218.35, "text": "إذا الآن الفرضية الأولى إن فرضنا واحد من هذول الـ exponents على أقل أكبر وسوء 2 غير واردة إذا مدامة الـ 5N بتجسب الـ N نقص 1 لازم تكون الـ N بتسوأ بي واحد بي اتنين عن بي ار where ال بي واحد و ال بي اتنين و ال بي ار distinct primes يعني الـ N is square free دي جينا السؤال اللي بعده", "tokens": [28814, 15730, 6024, 48506, 27188, 43042, 10632, 16247, 12610, 7578, 36145, 6156, 43042, 8315, 36764, 24401, 9154, 8032, 8848, 12610, 2423, 39184, 12680, 791, 15844, 5551, 4587, 1211, 5551, 4117, 26890, 46952, 2407, 38207, 568, 32771, 13546, 4032, 9640, 41891, 11933, 15730, 3714, 3215, 10943, 3660, 2423, 39184, 1025, 45, 39894, 7435, 35457, 2423, 39184, 426, 8717, 4587, 9381, 502, 5296, 31377, 2304, 6055, 30544, 2423, 39184, 426, 39894, 3794, 2407, 10721, 4724, 1829, 36764, 24401, 4724, 1829, 1975, 2655, 1863, 9957, 18871, 4724, 1829, 1975, 2288, 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3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times 3 times", "tokens": [650, 988, 300, 498, 297, 307, 2681, 281, 568, 281, 264, 350, 420, 568, 281, 264, 350, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 1413, 805, 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0.6778971354166666}, {"start": 4633.15, "end": 4633.65, "word": " ستعش،", "probability": 0.7947265625}, {"start": 4633.65, "end": 4633.93, "word": " ظهرت", "probability": 0.8717041015625}, {"start": 4633.93, "end": 4634.37, "word": " النتيجة", "probability": 0.9581298828125}, {"start": 4634.37, "end": 4634.69, "word": " الآن", "probability": 0.86669921875}, {"start": 4634.69, "end": 4636.17, "word": " الآن", "probability": 0.648681640625}, {"start": 4636.17, "end": 4637.03, "word": " تمنطقة", "probability": 0.50714111328125}, {"start": 4637.03, "end": 4637.47, "word": " تمانية", "probability": 0.8963216145833334}, {"start": 4637.47, "end": 4638.07, "word": " بنرفحها", "probability": 0.8011474609375}, {"start": 4638.07, "end": 4638.63, "word": " للأُس", "probability": 0.878173828125}, {"start": 4638.63, "end": 4639.81, "word": " أربعة", "probability": 0.8634440104166666}, {"start": 4639.81, "end": 4640.51, "word": " وهذه", "probability": 0.774169921875}, {"start": 4640.51, "end": 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والسبعتاش والستاش relative to prime inverse إذا اللي هي A الـ 33 تطابق الـ A modulo عصر ضرب اللي هو 4080 وضحكت الصورة نجي للسؤال اللي بعده", "tokens": [5172, 1829, 3224, 6156, 3555, 9381, 13546, 316, 4032, 2423, 39184, 11816, 6055, 9566, 16758, 4587, 2423, 39184, 316, 1072, 13455, 3165, 6024, 48506, 8717, 7435, 1829, 5296, 39184, 502, 4032, 568, 4032, 805, 4032, 1017, 2423, 39184, 316, 33962, 2304, 3794, 3660, 16070, 2655, 1211, 9307, 3660, 16070, 35457, 34268, 33599, 16070, 14851, 33599, 4972, 281, 5835, 17340, 11933, 15730, 13672, 1829, 39896, 316, 2423, 39184, 11816, 6055, 9566, 16758, 4587, 2423, 39184, 316, 1072, 13455, 6225, 9381, 2288, 48812, 25513, 13672, 1829, 31439, 3356, 4702, 4032, 11242, 5016, 4117, 2655, 31767, 13063, 3660, 8717, 7435, 1829, 24976, 3794, 33604, 6027, 13672, 1829, 39182, 3224], "avg_logprob": -0.27759929293784025, "compression_ratio": 1.726829268292683, "no_speech_prob": 9.894371032714844e-06, "words": [{"start": 4646.46, "end": 4646.96, "word": "فيه", 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{"start": 4660.28, "end": 4661.1, "word": " والسبعتاش", "probability": 0.8538818359375}, {"start": 4661.1, "end": 4661.78, "word": " والستاش", "probability": 0.80712890625}, {"start": 4661.78, "end": 4662.2, "word": " relative", "probability": 0.46044921875}, {"start": 4662.2, "end": 4662.5, "word": " to", "probability": 0.365966796875}, {"start": 4662.5, "end": 4663.04, "word": " prime", "probability": 0.732421875}, {"start": 4663.04, "end": 4663.74, "word": " inverse", "probability": 0.80517578125}, {"start": 4663.74, "end": 4664.5, "word": " إذا", "probability": 0.592041015625}, {"start": 4664.5, "end": 4664.74, "word": " اللي", "probability": 0.88525390625}, {"start": 4664.74, "end": 4665.0, "word": " هي", "probability": 0.87744140625}, {"start": 4665.0, "end": 4665.22, "word": " A", "probability": 0.90625}, {"start": 4665.22, "end": 4665.82, "word": " الـ", "probability": 0.4979248046875}, {"start": 4665.82, "end": 4665.86, "word": " 33", "probability": 0.80859375}, {"start": 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{"start": 4671.82, "end": 4672.26, "word": " للسؤال", "probability": 0.9610595703125}, {"start": 4672.26, "end": 4672.4, "word": " اللي", "probability": 0.962646484375}, {"start": 4672.4, "end": 4672.9, "word": " بعده", "probability": 0.973876953125}], "temperature": 1.0}, {"id": 175, "seek": 470352, "start": 4674.34, "end": 4703.52, "text": "السؤال الأربعة بيقول لك show that إذا كان الـ grace code divisor بين الـA والـN والـA minus واحد والـN بيسوا واحد إذا اللي هو استنتج للعلاقة اللي موجودة نقول السؤال كمان مرة ونكتبه ونشوف كيف بدنا نبرهن السؤال السؤال الأربعة show that", "tokens": [6027, 3794, 33604, 6027, 16247, 25513, 27884, 4724, 1829, 39648, 5296, 4117, 855, 300, 11933, 15730, 25961, 2423, 39184, 10042, 3089, 25974, 284, 49374, 2423, 39184, 32, 16070, 39184, 45, 16070, 39184, 32, 3175, 36764, 24401, 16070, 39184, 45, 4724, 1829, 3794, 14407, 36764, 24401, 11933, 15730, 13672, 1829, 31439, 44713, 29399, 7435, 24976, 3615, 15040, 28671, 13672, 1829, 3714, 29245, 23328, 3660, 8717, 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4680.28, "word": " بيسوا", "probability": 0.73779296875}, {"start": 4680.28, "end": 4680.84, "word": " واحد", "probability": 0.981689453125}, {"start": 4680.84, "end": 4681.86, "word": " إذا", "probability": 0.75244140625}, {"start": 4681.86, "end": 4682.64, "word": " اللي", "probability": 0.848388671875}, {"start": 4682.64, "end": 4683.04, "word": " هو", "probability": 0.990234375}, {"start": 4683.04, "end": 4684.48, "word": " استنتج", "probability": 0.8595377604166666}, {"start": 4684.48, "end": 4685.24, "word": " للعلاقة", "probability": 0.9036865234375}, {"start": 4685.24, "end": 4685.72, "word": " اللي", "probability": 0.943359375}, {"start": 4685.72, "end": 4686.48, "word": " موجودة", "probability": 0.989013671875}, {"start": 4686.48, "end": 4688.22, "word": " نقول", "probability": 0.89599609375}, {"start": 4688.22, "end": 4688.82, "word": " السؤال", "probability": 0.9951171875}, {"start": 4688.82, "end": 4689.22, "word": " كمان", "probability": 0.98388671875}, {"start": 4689.22, "end": 4689.5, "word": " مرة", "probability": 0.989013671875}, {"start": 4689.5, "end": 4690.32, "word": " ونكتبه", "probability": 0.9054768880208334}, {"start": 4690.32, "end": 4691.68, "word": " ونشوف", "probability": 0.9837646484375}, {"start": 4691.68, "end": 4692.14, "word": " كيف", "probability": 0.970947265625}, {"start": 4692.14, "end": 4692.42, "word": " بدنا", "probability": 0.910888671875}, {"start": 4692.42, "end": 4693.12, "word": " نبرهن", "probability": 0.9515380859375}, {"start": 4693.12, "end": 4694.26, "word": " السؤال", "probability": 0.9957682291666666}, {"start": 4694.26, "end": 4696.4, "word": " السؤال", "probability": 0.98681640625}, {"start": 4696.4, "end": 4697.1, "word": " الأربعة", "probability": 0.9637044270833334}, {"start": 4697.1, "end": 4701.46, "word": " show", "probability": 0.86181640625}, {"start": 4701.46, "end": 4703.52, "word": " that", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 176, "seek": 473381, "start": 4704.85, "end": 4733.81, "text": "if the greatest common divisor بين الـA والـN بيساوي واحد then ما يالي صحيح اللي هو واحد زائد A زائد A تربية زائد A أُس 5 N ناقص واحد يطابق السفر مدلونيا مدلون معايا يا شباب", "tokens": [351, 264, 6636, 2689, 25974, 284, 49374, 2423, 39184, 32, 16070, 39184, 45, 4724, 1829, 3794, 995, 45865, 36764, 24401, 550, 19446, 7251, 6027, 1829, 20328, 5016, 1829, 5016, 13672, 1829, 31439, 36764, 24401, 30767, 16373, 3215, 316, 30767, 16373, 3215, 316, 6055, 25513, 10632, 30767, 16373, 3215, 316, 5551, 10859, 3794, 1025, 426, 8717, 995, 4587, 9381, 36764, 24401, 7251, 9566, 16758, 4587, 21136, 5172, 2288, 3714, 3215, 1211, 11536, 25528, 3714, 3215, 1211, 11536, 20449, 995, 25528, 35186, 13412, 3555, 16758], "avg_logprob": -0.2779017857142857, "compression_ratio": 1.5568181818181819, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 4704.85, "end": 4705.37, "word": "if", "probability": 0.271728515625}, {"start": 4705.37, "end": 4706.31, "word": " the", "probability": 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9307, 3660, 5551, 38251, 10632, 538, 1355, 295, 9663, 11977, 20904, 20449, 995, 25528, 21136, 33604, 6027, 21136, 16758, 3615, 5329], "avg_logprob": -0.36375, "compression_ratio": 1.054945054945055, "no_speech_prob": 0.0, "words": [{"start": 4926.06, "end": 4926.4, "word": "of", "probability": 0.09344482421875}, {"start": 4926.4, "end": 4926.86, "word": " تلاتة", "probability": 0.9097900390625}, {"start": 4926.86, "end": 4927.42, "word": " أسمية", "probability": 0.8787434895833334}, {"start": 4927.42, "end": 4927.86, "word": " by", "probability": 0.76123046875}, {"start": 4927.86, "end": 4928.46, "word": " means", "probability": 0.89599609375}, {"start": 4928.46, "end": 4929.64, "word": " of", "probability": 0.982421875}, {"start": 4929.64, "end": 4930.38, "word": " Ehlers", "probability": 0.692138671875}, {"start": 4930.38, "end": 4931.82, "word": " theorem", "probability": 0.580078125}, {"start": 4931.82, "end": 4932.82, "word": " معايا", "probability": 0.8810221354166666}, {"start": 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modulo", "probability": 0.7919921875}, {"start": 5004.59, "end": 5004.67, "word": " اللي", "probability": 0.836669921875}, {"start": 5004.67, "end": 5004.91, "word": " بدنا", "probability": 0.982421875}, {"start": 5004.91, "end": 5005.21, "word": " هيه", "probability": 0.87060546875}, {"start": 5005.21, "end": 5005.59, "word": " عبارة", "probability": 0.9915771484375}, {"start": 5005.59, "end": 5005.73, "word": " عن", "probability": 0.908203125}, {"start": 5005.73, "end": 5006.09, "word": " عشرة", "probability": 0.9261067708333334}, {"start": 5006.09, "end": 5007.07, "word": " والتلاتة", "probability": 0.901953125}, {"start": 5007.07, "end": 5007.79, "word": " اللي", "probability": 0.971923828125}, {"start": 5007.79, "end": 5007.93, "word": " هي", "probability": 0.9599609375}, {"start": 5007.93, "end": 5008.55, "word": " الأساس", "probability": 0.9581705729166666}, {"start": 5008.55, "end": 5008.77, "word": " لـ", "probability": 0.5284423828125}, {"start": 5008.77, "end": 5009.13, 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اللي مش حافظ five اتنين واحد و five خمسة أربعة", "tokens": [19096, 1975, 4117, 25708, 538, 9663, 11977, 20904, 7251, 30544, 18871, 16254, 38637, 1211, 5718, 104, 3660, 4032, 11778, 3224, 1732, 6225, 8592, 25720, 7251, 9566, 3555, 4587, 2423, 14407, 24401, 3714, 11242, 1863, 3224, 3714, 9957, 3714, 11242, 1863, 3224, 6225, 8592, 25720, 1732, 6225, 8592, 25720, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 12174, 3215, 33599, 5551, 25513, 27884, 3714, 19913, 3555, 2407, 9566, 13672, 1829, 39896, 1732, 1975, 2655, 1863, 9957, 4032, 1732, 16490, 2304, 3794, 3660, 13672, 1829, 37893, 11331, 31845, 19913, 1732, 1975, 2655, 1863, 9957, 36764, 24401, 4032, 1732, 16490, 2304, 3794, 3660, 5551, 25513, 27884], "avg_logprob": -0.2663762065080496, "compression_ratio": 1.7967914438502675, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 5013.92, "end": 5014.48, "word": "then", "probability": 0.0364990234375}, {"start": 5014.48, "end": 5015.58, "word": " اكيد", "probability": 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"probability": 0.97607421875}, {"start": 5023.46, "end": 5024.0, "word": " مضنه", "probability": 0.77490234375}, {"start": 5024.0, "end": 5024.44, "word": " مين", "probability": 0.90087890625}, {"start": 5024.44, "end": 5025.12, "word": " مضنه", "probability": 0.77783203125}, {"start": 5025.12, "end": 5025.6, "word": " عشرة", "probability": 0.9407552083333334}, {"start": 5025.6, "end": 5026.44, "word": " five", "probability": 0.744140625}, {"start": 5026.44, "end": 5026.9, "word": " عشرة", "probability": 0.9510091145833334}, {"start": 5026.9, "end": 5027.08, "word": " اللي", "probability": 0.827392578125}, {"start": 5027.08, "end": 5027.22, "word": " هي", "probability": 0.80859375}, {"start": 5027.22, "end": 5027.46, "word": " عبارة", "probability": 0.865478515625}, {"start": 5027.46, "end": 5027.66, "word": " عن", "probability": 0.99609375}, {"start": 5027.66, "end": 5028.24, "word": " قداش", "probability": 0.7159016927083334}, {"start": 5028.24, "end": 5029.04, "word": " أربعة", 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