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"word": " كلها", "probability": 0.958251953125}, {"start": 1715.08, "end": 1715.66, "word": " بدها", "probability": 0.8544921875}, {"start": 1715.66, "end": 1716.28, "word": " تكون", "probability": 0.99462890625}, {"start": 1716.28, "end": 1716.92, "word": " فترة", "probability": 0.9768880208333334}, {"start": 1716.92, "end": 1718.36, "word": " موجبة", "probability": 0.8479817708333334}, {"start": 1718.36, "end": 1719.26, "word": " يبقى", "probability": 0.946044921875}, {"start": 1719.26, "end": 1719.82, "word": " الدالة", "probability": 0.8805338541666666}, {"start": 1719.82, "end": 1720.44, "word": " كانت", "probability": 0.970703125}, {"start": 1720.44, "end": 1721.38, "word": " increasing", "probability": 0.9833984375}, {"start": 1721.38, "end": 1722.5, "word": " صارت", "probability": 0.94580078125}, {"start": 1722.5, "end": 1722.82, "word": " عند", "probability": 0.81298828125}, {"start": 1722.82, "end": 1723.38, "word": " هنا", "probability": 0.52685546875}, {"start": 1723.38, 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0.7823893229166666}], "temperature": 1.0}, {"id": 76, "seek": 175110, "start": 1731.9, "end": 1751.1, "text": "الـ F is increasing دالة زيودية على الفترة من Zero لغاية باية تلاتة and on كمان أربعة باية على تلاتة لغاية اتنين باية", "tokens": [6027, 39184, 479, 307, 5662, 11778, 6027, 3660, 30767, 1829, 23328, 10632, 15844, 27188, 2655, 25720, 9154, 17182, 5296, 17082, 995, 10632, 4724, 995, 10632, 6055, 1211, 9307, 3660, 293, 322, 9122, 2304, 7649, 5551, 25513, 27884, 4724, 995, 10632, 15844, 6055, 1211, 9307, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 4724, 995, 10632], "avg_logprob": -0.19736841477845846, "compression_ratio": 1.450381679389313, "no_speech_prob": 0.0, "words": [{"start": 1731.9, "end": 1732.5, "word": "الـ", "probability": 0.542724609375}, {"start": 1732.5, "end": 1732.86, "word": " F", "probability": 0.7333984375}, {"start": 1732.86, "end": 1733.62, "word": " is", "probability": 0.76904296875}, {"start": 1733.62, "end": 1735.9, "word": " increasing", 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2559.56, "word": " مظبوط", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 113, "seek": 257939, "start": 2559.87, "end": 2579.39, "text": "الان من احداشر بايع الستة لغاية اتنين بايكون كيف؟ down يبقى الاسفل يبقى رسم لدقيق مية لمية هذا الان النقطة والنقطة الثانية اللي عندنا هاده هدوله ال inflection points", "tokens": [6027, 7649, 9154, 1975, 24401, 33599, 2288, 4724, 995, 40228, 21136, 2655, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 4724, 995, 1829, 30544, 9122, 33911, 22807, 760, 7251, 3555, 4587, 7578, 2423, 32277, 5172, 1211, 7251, 3555, 4587, 7578, 12602, 38251, 5296, 3215, 38436, 4587, 3714, 10632, 5296, 2304, 10632, 23758, 2423, 7649, 28239, 47432, 3660, 16070, 1863, 47432, 3660, 6024, 104, 7649, 10632, 13672, 1829, 43242, 8315, 8032, 18513, 3224, 8032, 3215, 12610, 3224, 2423, 1536, 5450, 2793], "avg_logprob": -0.3395579268292683, "compression_ratio": 1.5932203389830508, "no_speech_prob": 0.0, "words": [{"start": 2559.87, "end": 2560.47, "word": "الان", 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2638.92, "text": "يبقى انا بدي ارسم فعلا هذه لو بدك تقولي هذا بقولك هذه صحيح هذه local minimum هذه هنا كمان local maximum اقولك زيادة على ذلك", "tokens": [1829, 3555, 4587, 7578, 1975, 8315, 4724, 16254, 1975, 2288, 38251, 6156, 3615, 15040, 29538, 45164, 47525, 4117, 6055, 39648, 1829, 23758, 4724, 39648, 4117, 29538, 20328, 5016, 1829, 5016, 29538, 2654, 7285, 29538, 34105, 9122, 2304, 7649, 2654, 6674, 1975, 39648, 4117, 30767, 1829, 18513, 3660, 15844, 29910, 23275], "avg_logprob": -0.2757352941176471, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 2622.0, "end": 2622.62, "word": "يبقى", "probability": 0.73040771484375}, {"start": 2622.62, "end": 2623.02, "word": " انا", "probability": 0.7103271484375}, {"start": 2623.02, "end": 2623.42, "word": " بدي", "probability": 0.638671875}, {"start": 2623.42, "end": 2623.74, "word": " ارسم", "probability": 0.9651692708333334}, {"start": 2623.74, "end": 2624.48, "word": " فعلا", "probability": 0.8606770833333334}, 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"text": "السلام عليكم ورحمة الله وبركاته", "tokens": [6027, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.4282226599752903, "compression_ratio": 0.9666666666666667, "no_speech_prob": 0.0004839897155761719, "words": [{"start": 2721.8, "end": 2722.24, "word": "السلام", "probability": 0.2676595052083333}, {"start": 2722.24, "end": 2722.56, "word": " عليكم", "probability": 0.924560546875}, {"start": 2722.56, "end": 2723.06, "word": " ورحمة", "probability": 0.7298583984375}, {"start": 2723.06, "end": 2723.38, "word": " الله", "probability": 0.95703125}, {"start": 2723.38, "end": 2724.9, "word": " وبركاته", "probability": 0.97734375}], "temperature": 1.0}, {"id": 121, "seek": 278362, "start": 2754.54, "end": 2783.62, "text": "هذا بده الرسمة طيب هذا انتهى عليك سكشن اربعة اربعة الرسم ايه السمس فيها سمتت؟ لأ روحنا حطينا ال local maximum و ال local minimum", "tokens": [3224, 15730, 47525, 3224, 34892, 38251, 3660, 23032, 1829, 3555, 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{"start": 3589.14, "end": 3589.5, "word": " زائد", "probability": 0.75341796875}, {"start": 3589.5, "end": 3589.86, "word": " Const", "probability": 0.361083984375}, {"start": 3589.86, "end": 3590.4, "word": " C", "probability": 0.71533203125}, {"start": 3590.4, "end": 3591.06, "word": " لو", "probability": 0.6044921875}, {"start": 3591.06, "end": 3591.72, "word": " بدجاجي", "probability": 0.625}, {"start": 3591.72, "end": 3592.38, "word": " للككس", "probability": 0.7734375}, {"start": 3592.38, "end": 3592.72, "word": " كدوش", "probability": 0.7269287109375}, {"start": 3592.72, "end": 3593.3, "word": " متقعة", "probability": 0.5362548828125}, {"start": 3593.3, "end": 3593.56, "word": " الـ", "probability": 0.742431640625}, {"start": 3593.56, "end": 3593.76, "word": " SIN", "probability": 0.812744140625}, {"start": 3593.76, "end": 3594.02, "word": " هو", "probability": 0.87548828125}, {"start": 3594.02, "end": 3594.56, "word": " Cos", "probability": 0.61328125}, {"start": 3594.56, 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انفضله بترجعه لمين اللي اصل قبل التفاضل بدل المضرب", "tokens": [6027, 2407, 12984, 6027, 3555, 36764, 24401, 15844, 9122, 23275, 2407, 6055, 7649, 9122, 4117, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 8608, 1829, 6055, 5172, 46958, 1211, 6055, 3794, 1829, 4117, 4724, 3794, 1829, 4117, 6055, 7649, 11933, 15730, 2423, 39184, 5130, 1438, 592, 1166, 5296, 3794, 1829, 4117, 9122, 4117, 3794, 6055, 7649, 9122, 4117, 3794, 31439, 36764, 24401, 15844, 9122, 8978, 3714, 9957, 8978, 8608, 1829, 4117, 33251, 4117, 3794, 37495, 22653, 9122, 33456, 3224, 1975, 8315, 4724, 47341, 3615, 6055, 47341, 1829, 3224, 1975, 44510, 10721, 13672, 1829, 16472, 5172, 11242, 43761, 39894, 47341, 3615, 3224, 5296, 2304, 9957, 13672, 1829, 1975, 36520, 12174, 36150, 16712, 5172, 46958, 1211, 47525, 1211, 9673, 11242, 25513], "avg_logprob": -0.3639705917414497, "compression_ratio": 1.8224299065420562, "no_speech_prob": 0.0, "words": [{"start": 3622.86, "end": 3623.6, "word": "الوثالب", "probability": 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اتنين زائد constant C سالب تلاتة على اتنين في البسطة و سالب تلاتة على اتنين في المقام مع السلامة يبقى بضالة ان بس جداش كتان تلاتة X على اتنين زائد constant C", "tokens": [2407, 3224, 8315, 9122, 2655, 7649, 6055, 1211, 9307, 3660, 1783, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 5754, 383, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8978, 29739, 3794, 9566, 3660, 4032, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8978, 9673, 4587, 10943, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 4724, 11242, 6027, 3660, 16472, 4724, 3794, 10874, 3215, 33599, 9122, 2655, 7649, 6055, 1211, 9307, 3660, 1783, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.1745923919522244, "compression_ratio": 2.157142857142857, "no_speech_prob": 0.0, "words": [{"start": 4082.63, "end": 4083.37, "word": "وهنا", "probability": 0.6456705729166666}, {"start": 4083.37, "end": 4084.63, "word": " كتان", "probability": 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4115.32, "end": 4138.34, "text": "طيب نجي لها سبعة سبعة بدنا نسالي باي cos by x على اتنين cot by x على اتنين برضه بدنا نجيب ال antiderivative لها", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 5296, 11296, 8608, 3555, 27884, 8608, 3555, 27884, 47525, 8315, 8717, 3794, 6027, 1829, 4724, 47302, 3792, 538, 2031, 15844, 1975, 2655, 1863, 9957, 26529, 538, 2031, 15844, 1975, 2655, 1863, 9957, 4724, 43042, 3224, 47525, 8315, 8717, 7435, 1829, 3555, 2423, 2511, 1438, 592, 1166, 5296, 11296], "avg_logprob": -0.3622159025885842, "compression_ratio": 1.4297520661157024, "no_speech_prob": 0.0, "words": [{"start": 4115.32, "end": 4115.84, "word": "طيب", "probability": 0.6570231119791666}, {"start": 4115.84, "end": 4116.34, "word": " نجي", "probability": 0.7799479166666666}, {"start": 4116.34, "end": 4116.62, "word": " لها", "probability": 0.43316650390625}, {"start": 4116.62, "end": 4117.1, "word": " سبعة", "probability": 0.8338216145833334}, {"start": 4117.1, "end": 4119.3, "word": " سبعة", 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{"start": 4184.23, "end": 4184.89, "word": " constant", "probability": 0.497802734375}, {"start": 4184.89, "end": 4185.65, "word": " c", "probability": 0.423828125}, {"start": 4185.65, "end": 4187.25, "word": " نمره", "probability": 0.5470377604166666}, {"start": 4187.25, "end": 4187.91, "word": " تمانية", "probability": 0.8776041666666666}], "temperature": 1.0}, {"id": 164, "seek": 420707, "start": 4189.23, "end": 4207.07, "text": "تمانية بدنا اربع six تلاتة اكس تان تلاتة اكس يبقى ال antiderivative الها is خد بالك هنا اربع مالاش دعوة", "tokens": [39237, 7649, 10632, 47525, 8315, 1975, 25513, 3615, 2309, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 6055, 7649, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 7251, 3555, 4587, 7578, 2423, 2511, 1438, 592, 1166, 2423, 11296, 307, 16490, 3215, 20666, 4117, 34105, 1975, 25513, 3615, 3714, 6027, 33599, 11778, 3615, 2407, 3660], "avg_logprob": -0.31987028976656356, "compression_ratio": 1.411764705882353, "no_speech_prob": 0.0, "words": [{"start": 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اعتمد على مشتقة الدوال المثلثية الستة يبقى اللي عارف المشتقات بيلاقي هذا كله كلام بسيط وحتى أبسط من البسيط", "tokens": [11622, 1829, 19446, 16472, 2655, 13412, 995, 33911, 23758, 2423, 25708, 2288, 28242, 3224, 1975, 34268, 2304, 3215, 15844, 37893, 2655, 28671, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 2423, 14851, 3660, 7251, 3555, 4587, 7578, 13672, 1829, 6225, 9640, 5172, 9673, 8592, 2655, 4587, 9307, 4724, 1829, 15040, 38436, 23758, 28242, 3224, 28242, 10943, 4724, 3794, 1829, 9566, 4032, 33753, 7578, 5551, 3555, 3794, 9566, 9154, 29739, 3794, 1829, 9566], "avg_logprob": -0.12542808872379668, "compression_ratio": 1.7013888888888888, "no_speech_prob": 0.0, "words": [{"start": 4235.22, "end": 4235.6, "word": "زي", "probability": 0.688720703125}, {"start": 4235.6, "end": 4235.7, "word": " ما", "probability": 0.9404296875}, {"start": 4235.7, "end": 4235.86, "word": " انت", "probability": 0.857421875}, {"start": 4235.86, "end": 4236.14, "word": " شايف", "probability": 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solution", "probability": 0.7373046875}, {"start": 5556.07, "end": 5558.39, "word": " اها", "probability": 0.452392578125}, {"start": 5558.39, "end": 5559.01, "word": " بدي", "probability": 0.77783203125}, {"start": 5559.01, "end": 5559.57, "word": " اخد", "probability": 0.89453125}, {"start": 5559.57, "end": 5559.93, "word": " D", "probability": 0.66943359375}, {"start": 5559.93, "end": 5560.75, "word": " على", "probability": 0.80712890625}, {"start": 5560.75, "end": 5561.49, "word": " DX", "probability": 0.80126953125}, {"start": 5561.49, "end": 5562.71, "word": " لسالم", "probability": 0.5367838541666666}, {"start": 5562.71, "end": 5563.67, "word": " 3X", "probability": 0.741943359375}, {"start": 5563.67, "end": 5564.11, "word": " زائد", "probability": 0.8118489583333334}, {"start": 5564.11, "end": 5564.57, "word": " 5", "probability": 0.7685546875}, {"start": 5564.57, "end": 5565.75, "word": " والسالم", "probability": 0.8113606770833334}, {"start": 5565.75, "end": 5566.09, "word": 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"word": " by", "probability": 0.44091796875}, {"start": 5758.95, "end": 5760.29, "word": " integration", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 226, "seek": 578691, "start": 5762.63, "end": 5786.91, "text": "بتكمل بيبقى عند مين دي y على دي x هذه بدها تساوي ستة x تربيع على اتنين زائد constant وليكن c one طيب يعني هذه بدها تساوي تلاتة x تربيع زائد c one هذا مين مشتقل ايش راح جلي هنا", "tokens": [3555, 2655, 24793, 1211, 4724, 1829, 3555, 4587, 7578, 43242, 3714, 9957, 11778, 1829, 288, 15844, 11778, 1829, 2031, 29538, 47525, 11296, 6055, 3794, 995, 45865, 8608, 2655, 3660, 2031, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 5754, 4032, 20292, 19452, 269, 472, 23032, 1829, 3555, 37495, 22653, 29538, 47525, 11296, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 2031, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 269, 472, 23758, 3714, 9957, 37893, 2655, 4587, 1211, 1975, 1829, 8592, 12602, 39319, 10874, 20292, 34105], "avg_logprob": 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"probability": 0.833984375}, {"start": 5784.61, "end": 5785.41, "word": " مشتقل", "probability": 0.8729248046875}, {"start": 5785.41, "end": 5785.83, "word": " ايش", "probability": 0.7119954427083334}, {"start": 5785.83, "end": 5786.09, "word": " راح", "probability": 0.941650390625}, {"start": 5786.09, "end": 5786.49, "word": " جلي", "probability": 0.689697265625}, {"start": 5786.49, "end": 5786.91, "word": " هنا", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 227, "seek": 580364, "start": 5788.36, "end": 5803.64, "text": "المماس أفقي عند النقطة 01 إذا من خلالها بقدر يجيب ال constant C1 فبجي بقول له at النقطة 01 we have", "tokens": [45340, 15042, 3794, 5551, 5172, 38436, 43242, 28239, 47432, 3660, 23185, 11933, 15730, 9154, 16490, 1211, 6027, 11296, 4724, 28543, 2288, 7251, 7435, 1829, 3555, 2423, 5754, 383, 16, 6156, 3555, 7435, 1829, 4724, 39648, 46740, 412, 28239, 47432, 3660, 23185, 321, 362], "avg_logprob": -0.38600852475924924, "compression_ratio": 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5795.6, "word": " constant", "probability": 0.55029296875}, {"start": 5795.6, "end": 5796.5, "word": " C1", "probability": 0.607177734375}, {"start": 5796.5, "end": 5797.56, "word": " فبجي", "probability": 0.68310546875}, {"start": 5797.56, "end": 5798.12, "word": " بقول", "probability": 0.886962890625}, {"start": 5798.12, "end": 5798.38, "word": " له", "probability": 0.276123046875}, {"start": 5798.38, "end": 5798.88, "word": " at", "probability": 0.81298828125}, {"start": 5798.88, "end": 5800.9, "word": " النقطة", "probability": 0.7784016927083334}, {"start": 5800.9, "end": 5802.08, "word": " 01", "probability": 0.96484375}, {"start": 5802.08, "end": 5803.1, "word": " we", "probability": 0.76953125}, {"start": 5803.1, "end": 5803.64, "word": " have", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 228, "seek": 582769, "start": 5804.59, "end": 5827.69, "text": "يبقى الهيروزونتال تانجلت يعني الاسلوب تبعه كده؟ بزيرو يبقى هذا الاسلوب تبعه بزيرو هو dy على dx تمام؟ بده يساوي مين؟ بده يساوي تلاتة في زيرو لكل تربيع زي كنصة C1 يبقى بناء على C1 كده بده يساوي؟", "tokens": [1829, 3555, 4587, 7578, 2423, 3224, 13546, 2407, 11622, 11536, 2655, 6027, 6055, 7649, 7435, 1211, 2655, 37495, 22653, 2423, 32277, 1211, 37746, 6055, 3555, 3615, 3224, 9122, 3215, 3224, 22807, 4724, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 23758, 2423, 32277, 1211, 37746, 6055, 3555, 3615, 3224, 4724, 11622, 13546, 2407, 31439, 14584, 15844, 30017, 46811, 10943, 22807, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8978, 30767, 13546, 2407, 5296, 28820, 6055, 2288, 21292, 3615, 30767, 1829, 9122, 1863, 9381, 3660, 383, 16, 7251, 3555, 4587, 7578, 44945, 16606, 15844, 383, 16, 9122, 3215, 3224, 47525, 3224, 7251, 3794, 995, 45865, 22807], "avg_logprob": -0.31681033429400673, "compression_ratio": 1.9261363636363635, "no_speech_prob": 0.0, "words": [{"start": 5804.59, "end": 5804.91, "word": "يبقى", "probability": 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"word": " بزيرو", "probability": 0.8203125}, {"start": 5813.45, "end": 5813.67, "word": " هو", "probability": 0.27099609375}, {"start": 5813.67, "end": 5813.99, "word": " dy", "probability": 0.6064453125}, {"start": 5813.99, "end": 5814.27, "word": " على", "probability": 0.56298828125}, {"start": 5814.27, "end": 5814.97, "word": " dx", "probability": 0.96630859375}, {"start": 5814.97, "end": 5816.39, "word": " تمام؟", "probability": 0.7080078125}, {"start": 5816.39, "end": 5816.81, "word": " بده", "probability": 0.64501953125}, {"start": 5816.81, "end": 5817.23, "word": " يساوي", "probability": 0.9664306640625}, {"start": 5817.23, "end": 5817.91, "word": " مين؟", "probability": 0.8889973958333334}, {"start": 5817.91, "end": 5818.41, "word": " بده", "probability": 0.856201171875}, {"start": 5818.41, "end": 5818.89, "word": " يساوي", "probability": 0.99072265625}, {"start": 5818.89, "end": 5819.81, "word": " تلاتة", "probability": 0.91845703125}, {"start": 5819.81, "end": 5819.99, "word": " في", "probability": 0.9130859375}, {"start": 5819.99, "end": 5820.53, "word": " زيرو", "probability": 0.8509114583333334}, {"start": 5820.53, "end": 5820.97, "word": " لكل", "probability": 0.960205078125}, {"start": 5820.97, "end": 5821.75, "word": " تربيع", "probability": 0.89501953125}, {"start": 5821.75, "end": 5822.53, "word": " زي", "probability": 0.784912109375}, {"start": 5822.53, "end": 5823.29, "word": " كنصة", "probability": 0.51763916015625}, {"start": 5823.29, "end": 5824.19, "word": " C1", "probability": 0.6298828125}, {"start": 5824.19, "end": 5825.11, "word": " يبقى", "probability": 0.9766845703125}, {"start": 5825.11, "end": 5825.51, "word": " بناء", "probability": 0.89208984375}, {"start": 5825.51, "end": 5825.77, "word": " على", "probability": 0.424072265625}, {"start": 5825.77, "end": 5826.37, "word": " C1", "probability": 0.82958984375}, {"start": 5826.37, "end": 5826.67, "word": " كده", "probability": 0.8740234375}, {"start": 5826.67, "end": 5826.99, 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