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+{"segments": [{"id": 1, "seek": 2430, "start": 12.1, "end": 24.3, "text": "في محاضرة اليوم هنكمل جزء بسيط من الموضوع السابق وهو الـ function of complex variables و هنبدأ بالموضوع النهايات لدوال في complex variables", "tokens": [41185, 3714, 5016, 46958, 25720, 45595, 20498, 8032, 1863, 24793, 1211, 10874, 11622, 38207, 4724, 3794, 1829, 9566, 9154, 9673, 2407, 11242, 45367, 21136, 16758, 4587, 37037, 2407, 2423, 39184, 2445, 295, 3997, 9102, 4032, 8032, 1863, 44510, 10721, 20666, 2304, 2407, 11242, 45367, 28239, 11296, 1829, 9307, 5296, 3215, 2407, 6027, 8978, 3997, 9102], "avg_logprob": -0.19991630156125342, "compression_ratio": 1.4078947368421053, "no_speech_prob": 0.0, "words": [{"start": 12.099999999999998, "end": 12.98, "word": "في", "probability": 0.359619140625}, {"start": 12.98, "end": 13.58, "word": " محاضرة", "probability": 0.923828125}, {"start": 13.58, "end": 14.06, "word": " اليوم", "probability": 0.964111328125}, {"start": 14.06, "end": 14.92, "word": " هنكمل", 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" تكون", "probability": 0.9052734375}, {"start": 380.05, "end": 380.37, "word": " دالة", "probability": 0.9246419270833334}, {"start": 380.37, "end": 380.75, "word": " الجزر", "probability": 0.982421875}, {"start": 380.75, "end": 381.25, "word": " لازم", "probability": 0.9910481770833334}, {"start": 381.25, "end": 381.63, "word": " أحدد", "probability": 0.89404296875}, {"start": 381.63, "end": 381.85, "word": " مين", "probability": 0.947998046875}, {"start": 381.85, "end": 382.29, "word": " واحد", "probability": 0.7349853515625}, {"start": 382.29, "end": 382.51, "word": " من", "probability": 0.99072265625}, {"start": 382.51, "end": 383.09, "word": " جزور", "probability": 0.8924153645833334}, {"start": 383.09, "end": 383.21, "word": " ال", "probability": 0.94677734375}, {"start": 383.21, "end": 383.67, "word": " argument", "probability": 0.8671875}, {"start": 383.67, "end": 384.15, "word": " يا", "probability": 0.7568359375}, {"start": 384.15, "end": 384.83, "word": " جزر", 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في ال deleted neighborhood أكبر من Zero أقل من 10 فهذا التعريف المعتاد أي سؤال؟", "tokens": [5172, 6027, 479, 295, 1176, 8717, 995, 4587, 9381, 441, 294, 8236, 2158, 13672, 1829, 31439, 2423, 4386, 23032, 3555, 3615, 995, 25724, 3215, 3215, 34051, 2423, 42287, 34051, 2423, 8236, 2158, 24976, 3997, 3547, 5551, 4587, 1211, 9154, 5551, 3555, 3794, 1211, 11536, 11933, 15730, 25961, 2655, 2423, 1176, 8717, 995, 4587, 9381, 1176, 17182, 8978, 2423, 22981, 7630, 5551, 4117, 26890, 9154, 17182, 5551, 4587, 1211, 9154, 1266, 6156, 3224, 15730, 16712, 3615, 16572, 5172, 9673, 34268, 18513, 36632, 8608, 33604, 6027, 22807], "avg_logprob": -0.34629359321538794, "compression_ratio": 1.502262443438914, "no_speech_prob": 0.0, "words": [{"start": 736.19, "end": 736.47, "word": "فال", "probability": 0.685302734375}, {"start": 736.47, "end": 736.63, "word": " F", "probability": 0.274169921875}, {"start": 736.63, "end": 736.79, "word": " of", "probability": 0.46875}, {"start": 736.79, "end": 736.91, 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"probability": 0.99560546875}, {"start": 746.55, "end": 746.85, "word": " Zero", "probability": 0.8388671875}, {"start": 746.85, "end": 747.57, "word": " أقل", "probability": 0.9500325520833334}, {"start": 747.57, "end": 747.95, "word": " من", "probability": 0.994140625}, {"start": 747.95, "end": 748.13, "word": " 10", "probability": 0.0947265625}, {"start": 748.13, "end": 748.81, "word": " فهذا", "probability": 0.8583984375}, {"start": 748.81, "end": 749.43, "word": " التعريف", "probability": 0.98681640625}, {"start": 749.43, "end": 750.29, "word": " المعتاد", "probability": 0.8701171875}, {"start": 750.29, "end": 751.51, "word": " أي", "probability": 0.419677734375}, {"start": 751.51, "end": 752.21, "word": " سؤال؟", "probability": 0.9332275390625}], "temperature": 1.0}, {"id": 37, "seek": 77543, "start": 753.03, "end": 775.43, "text": "واضح فهو نفس التعريف القضية مع خواقية شباب لكن مع الفرق ان احنا نعيش الان مع complex numbers و two dimensions و القرب يعني هذا المعنى مش يمين و يسار 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"word": " هو", "probability": 0.54541015625}, {"start": 767.73, "end": 768.43, "word": " القرب", "probability": 0.94189453125}, {"start": 768.43, "end": 768.69, "word": " نفس", "probability": 0.977783203125}, {"start": 768.69, "end": 769.09, "word": " القضية", "probability": 0.9938151041666666}, {"start": 769.09, "end": 769.57, "word": " بالشكل", "probability": 0.9274088541666666}, {"start": 769.57, "end": 770.73, "word": " الموازن", "probability": 0.9449462890625}, {"start": 770.73, "end": 771.27, "word": " اي", "probability": 0.600830078125}, {"start": 771.27, "end": 772.67, "word": " سؤال؟", "probability": 0.84539794921875}, {"start": 772.67, "end": 774.93, "word": " خلينا", "probability": 0.69287109375}, {"start": 774.93, "end": 775.43, "word": " نشوف", "probability": 0.9928385416666666}], "temperature": 1.0}, {"id": 38, "seek": 79988, "start": 776.52, "end": 799.88, "text": "أمثل على التطبيق على هذا التعريف طبعا هذا التعريف تعريف رياضي مشهور و لازم احنا نكوناش نقدر نستخدمه فعنا مثال نثبت انه limit z عندما تقول لزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزي", "tokens": [10721, 2304, 12984, 1211, 15844, 16712, 9566, 21292, 4587, 15844, 23758, 16712, 3615, 16572, 5172, 23032, 3555, 3615, 995, 23758, 16712, 3615, 16572, 5172, 37279, 16572, 5172, 12602, 1829, 46958, 1829, 37893, 3224, 13063, 4032, 5296, 31377, 2304, 1975, 5016, 8315, 8717, 30544, 33599, 8717, 28543, 2288, 8717, 14851, 9778, 40448, 3224, 6156, 3615, 8315, 50113, 6027, 8717, 12984, 3555, 2655, 16472, 3224, 4948, 710, 43242, 15042, 6055, 39648, 5296, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829, 11622, 1829], "avg_logprob": -0.09645833439297147, "compression_ratio": 3.4842767295597485, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 776.52, "end": 777.0, "word": "أمثل", "probability": 0.8153076171875}, {"start": 777.0, "end": 777.16, "word": " على", "probability": 0.8857421875}, {"start": 777.16, "end": 777.82, "word": " التطبيق", "probability": 0.932373046875}, {"start": 777.82, "end": 778.62, "word": " على", "probability": 0.7001953125}, {"start": 778.62, "end": 779.0, "word": " هذا", "probability": 0.81787109375}, {"start": 779.0, "end": 780.52, "word": " التعريف", "probability": 0.9874267578125}, {"start": 780.52, "end": 781.38, "word": " طبعا", "probability": 0.81329345703125}, {"start": 781.38, "end": 782.3, "word": " هذا", "probability": 0.66015625}, {"start": 782.3, "end": 782.82, "word": " التعريف", "probability": 0.9486083984375}, {"start": 782.82, "end": 783.18, "word": " تعريف", "probability": 0.8185221354166666}, {"start": 783.18, "end": 783.52, "word": " رياضي", "probability": 0.9798583984375}, {"start": 783.52, "end": 784.0, "word": " مشهور", "probability": 0.9903971354166666}, {"start": 784.0, "end": 784.74, "word": " و", "probability": 0.67529296875}, {"start": 784.74, "end": 785.04, "word": " لازم", "probability": 0.8145345052083334}, {"start": 785.04, "end": 785.2, "word": " احنا", "probability": 0.739013671875}, {"start": 785.2, "end": 785.8, "word": " نكوناش", "probability": 0.7006022135416666}, {"start": 785.8, "end": 786.32, "word": " نقدر", "probability": 0.9248046875}, {"start": 786.32, "end": 787.18, "word": " نستخدمه", "probability": 0.9916015625}, {"start": 787.18, "end": 787.74, "word": " فعنا", "probability": 0.83056640625}, {"start": 787.74, "end": 788.26, "word": " مثال", "probability": 0.954833984375}, {"start": 788.26, "end": 788.68, "word": " نثبت", "probability": 0.9569091796875}, {"start": 788.68, "end": 788.86, "word": " انه", "probability": 0.6295166015625}, {"start": 788.86, "end": 789.04, "word": " limit", "probability": 0.92431640625}, {"start": 789.04, "end": 789.36, "word": " z", "probability": 0.56591796875}, {"start": 789.36, "end": 789.76, "word": " عندما", "probability": 0.825439453125}, {"start": 789.76, "end": 790.06, "word": " تقول", "probability": 0.97705078125}, {"start": 790.06, "end": 799.88, "word": " لزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزيزي", "probability": 0.9597152217741935}], "temperature": 1.0}, {"id": 39, "seek": 82218, "start": 801.04, "end": 822.18, "text": "فطبعا هنا في هذا المثال عشان بس نوضح أفوف زت يساوي زت والأقل هي مين؟ زت زيرو فبدنا نثبت عشان أثبت إيش بدي أعمل لأي أبسلون لإن بيقول for all لازم ألاجي لكل أبسلون دلتة لدى الدلتة في الإيهش لكل أبسلون في دلتة مقابلة يعني فالدلتة في شكل عام تعتمد على الأبسلون", "tokens": [5172, 9566, 3555, 3615, 995, 34105, 8978, 23758, 9673, 12984, 6027, 6225, 8592, 7649, 4724, 3794, 8717, 2407, 11242, 5016, 5551, 5172, 38688, 30767, 2655, 7251, 3794, 995, 45865, 30767, 2655, 16070, 10721, 4587, 1211, 39896, 3714, 9957, 22807, 30767, 2655, 30767, 1829, 32887, 6156, 44510, 8315, 8717, 12984, 3555, 2655, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 11933, 1829, 8592, 4724, 16254, 5551, 25957, 1211, 5296, 10721, 1829, 5551, 3555, 3794, 1211, 11536, 5296, 28814, 1863, 4724, 1829, 39648, 337, 439, 5296, 31377, 2304, 5551, 15040, 7435, 1829, 5296, 28820, 5551, 3555, 3794, 1211, 11536, 11778, 1211, 2655, 3660, 5296, 3215, 7578, 32748, 1211, 2655, 3660, 8978, 33688, 1829, 3224, 8592, 5296, 28820, 5551, 3555, 3794, 1211, 11536, 8978, 11778, 1211, 2655, 3660, 3714, 4587, 16758, 37977, 37495, 22653, 6156, 6027, 3215, 1211, 2655, 3660, 8978, 13412, 28820, 6225, 10943, 6055, 34268, 2304, 3215, 15844, 16247, 3555, 3794, 1211, 11536], "avg_logprob": -0.2615131708352189, "compression_ratio": 1.8958333333333333, "no_speech_prob": 0.0, "words": [{"start": 801.04, "end": 801.5, "word": "فطبعا", "probability": 0.800390625}, {"start": 801.5, "end": 801.64, "word": " هنا", "probability": 0.814453125}, {"start": 801.64, "end": 801.76, "word": " في", "probability": 0.9443359375}, {"start": 801.76, "end": 801.9, "word": " هذا", "probability": 0.9189453125}, {"start": 801.9, "end": 802.44, "word": " المثال", "probability": 0.98681640625}, {"start": 802.44, "end": 802.82, "word": " عشان", "probability": 0.935546875}, {"start": 802.82, "end": 803.02, "word": " بس", "probability": 0.81689453125}, {"start": 803.02, "end": 803.32, "word": " نوضح", "probability": 0.937255859375}, {"start": 803.32, "end": 803.62, "word": " أفوف", "probability": 0.4430745442708333}, {"start": 803.62, "end": 803.8, "word": " زت", "probability": 0.62841796875}, {"start": 803.8, "end": 804.12, "word": " يساوي", "probability": 0.73358154296875}, {"start": 804.12, "end": 804.46, "word": " زت", "probability": 0.908935546875}, {"start": 804.46, "end": 805.4, "word": " والأقل", "probability": 0.792236328125}, {"start": 805.4, "end": 805.54, "word": " هي", "probability": 0.7646484375}, {"start": 805.54, "end": 806.7, "word": " مين؟", "probability": 0.7220865885416666}, {"start": 806.7, "end": 807.18, "word": " زت", "probability": 0.76708984375}, {"start": 807.18, "end": 807.44, "word": " زيرو", "probability": 0.6319986979166666}, {"start": 807.44, "end": 808.74, "word": " فبدنا", "probability": 0.7369791666666666}, {"start": 808.74, "end": 809.22, "word": " نثبت", "probability": 0.988525390625}, {"start": 809.22, "end": 810.12, "word": " عشان", "probability": 0.7962239583333334}, {"start": 810.12, "end": 810.52, "word": " أثبت", "probability": 0.947509765625}, {"start": 810.52, "end": 810.68, "word": " إيش", "probability": 0.740966796875}, {"start": 810.68, "end": 810.9, "word": " بدي", "probability": 0.67041015625}, {"start": 810.9, "end": 811.3, "word": " أعمل", "probability": 0.9287109375}, {"start": 811.3, "end": 812.94, "word": " لأي", "probability": 0.79345703125}, {"start": 812.94, "end": 813.36, "word": " أبسلون", "probability": 0.92607421875}, {"start": 813.36, "end": 813.56, "word": " لإن", "probability": 0.7054850260416666}, {"start": 813.56, "end": 813.74, "word": " بيقول", "probability": 0.7545572916666666}, {"start": 813.74, "end": 813.96, "word": " for", "probability": 0.546875}, {"start": 813.96, "end": 814.26, "word": " all", "probability": 0.951171875}, {"start": 814.26, "end": 815.2, "word": " لازم", "probability": 0.9794921875}, {"start": 815.2, "end": 815.48, "word": " ألاجي", "probability": 0.67041015625}, {"start": 815.48, "end": 815.76, "word": " لكل", "probability": 0.963134765625}, {"start": 815.76, "end": 816.08, "word": " أبسلون", "probability": 0.987109375}, {"start": 816.08, "end": 816.42, "word": " دلتة", "probability": 0.734619140625}, {"start": 816.42, "end": 816.58, "word": " لدى", "probability": 0.4493408203125}, {"start": 816.58, "end": 816.82, "word": " الدلتة", "probability": 0.8536376953125}, {"start": 816.82, "end": 816.94, "word": " في", "probability": 0.89111328125}, {"start": 816.94, "end": 817.26, "word": " الإيهش", "probability": 0.5999755859375}, {"start": 817.26, "end": 818.04, "word": " لكل", "probability": 0.710205078125}, {"start": 818.04, "end": 818.3, "word": " أبسلون", "probability": 0.9779296875}, {"start": 818.3, "end": 818.4, "word": " في", "probability": 0.572265625}, {"start": 818.4, "end": 818.66, "word": " دلتة", "probability": 0.8751220703125}, {"start": 818.66, "end": 819.12, "word": " مقابلة", "probability": 0.976806640625}, {"start": 819.12, "end": 819.9, "word": " يعني", "probability": 0.6455078125}, {"start": 819.9, "end": 820.88, "word": " فالدلتة", "probability": 0.7938435872395834}, {"start": 820.88, "end": 820.96, "word": " في", "probability": 0.734375}, {"start": 820.96, "end": 821.18, "word": " شكل", "probability": 0.84765625}, {"start": 821.18, "end": 821.34, "word": " عام", "probability": 0.962890625}, {"start": 821.34, "end": 821.68, "word": " تعتمد", "probability": 0.803466796875}, {"start": 821.68, "end": 821.8, "word": " على", "probability": 0.876953125}, {"start": 821.8, "end": 822.18, "word": " الأبسلون", "probability": 0.96318359375}], "temperature": 1.0}, {"id": 40, "seek": 83918, "start": 824.5, "end": 839.18, "text": "طبعا كله لازم يكون positive لان ماقيش مسافات فانا اللي بدي اخد اقن ابسلون لانه ابسلون عشوائي لانه for all فبنبدأ نقول ايه given epsilon او let epsilon be given given epsilon اكبر من zero لازم اقدر اختار delta let delta تساوي", "tokens": [9566, 3555, 3615, 995, 28242, 3224, 5296, 31377, 2304, 7251, 30544, 3353, 5296, 7649, 19446, 4587, 1829, 8592, 47524, 31845, 9307, 6156, 7649, 995, 13672, 1829, 4724, 16254, 1975, 9778, 3215, 1975, 4587, 1863, 1975, 3555, 3794, 1211, 11536, 5296, 7649, 3224, 1975, 3555, 3794, 1211, 11536, 6225, 8592, 2407, 16373, 1829, 5296, 7649, 3224, 337, 439, 6156, 3555, 1863, 44510, 10721, 8717, 39648, 1975, 1829, 3224, 2212, 17889, 1975, 2407, 718, 17889, 312, 2212, 2212, 17889, 1975, 4117, 26890, 9154, 4018, 5296, 31377, 2304, 1975, 28543, 2288, 1975, 46456, 9640, 8289, 718, 8289, 6055, 3794, 995, 45865], "avg_logprob": -0.31802398207211735, "compression_ratio": 1.6584158415841583, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 824.5, "end": 825.06, "word": "طبعا", "probability": 0.791595458984375}, {"start": 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"probability": 0.89892578125}, {"start": 832.74, "end": 832.94, "word": " let", "probability": 0.7763671875}, {"start": 832.94, "end": 833.26, "word": " epsilon", "probability": 0.92333984375}, {"start": 833.26, "end": 833.4, "word": " be", "probability": 0.85791015625}, {"start": 833.4, "end": 833.7, "word": " given", "probability": 0.84033203125}, {"start": 833.7, "end": 834.68, "word": " given", "probability": 0.54150390625}, {"start": 834.68, "end": 835.26, "word": " epsilon", "probability": 0.86279296875}, {"start": 835.26, "end": 835.58, "word": " اكبر", "probability": 0.83935546875}, {"start": 835.58, "end": 835.74, "word": " من", "probability": 0.99267578125}, {"start": 835.74, "end": 836.06, "word": " zero", "probability": 0.54833984375}, {"start": 836.06, "end": 837.1, "word": " لازم", "probability": 0.9827473958333334}, {"start": 837.1, "end": 837.38, "word": " اقدر", "probability": 0.8816731770833334}, {"start": 837.38, "end": 837.78, "word": " اختار", "probability": 0.9557291666666666}, {"start": 837.78, "end": 838.16, "word": " delta", "probability": 0.5478515625}, {"start": 838.16, "end": 838.42, "word": " let", "probability": 0.65380859375}, {"start": 838.42, "end": 838.72, "word": " delta", "probability": 0.7490234375}, {"start": 838.72, "end": 839.18, "word": " تساوي", "probability": 0.841796875}], "temperature": 1.0}, {"id": 41, "seek": 86564, "start": 839.6, "end": 865.64, "text": "أنا بقول لكل أبسلون there exists فمن there for all إذا لازم أشغعل أبسلون بشكل عام بس يعني بعرف أنا إيه إيه positive ممكنش يكون negative أو zero لازم ألاقيش there exists delta إذا لازم إيش ألاجي ال delta إذا there exists لازم أعطيله التالتة إيش بتساوي وهي بشكل عام زي ما حكينا إيش مالها بدلات الأبسل طبعا ماقدرش أعملها هو في البداية المفروض إن الكتابة بتبدأ بهذا الشكل لكن إجابة delta في البداية ممكنش هيعملها بشكل عكس طيب إيش مبنى؟", "tokens": [10721, 8315, 4724, 39648, 5296, 28820, 5551, 3555, 3794, 1211, 11536, 456, 8198, 6156, 27842, 456, 337, 439, 11933, 15730, 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such that then الكتابة كلما كانت بدنا zero أقل من z ناقص z zero أقل من دلتا يؤدي أنه mean f of z ناقص l أقل من أزرع هذا ليهاش مطلوب", "tokens": [10721, 4587, 1211, 9154, 11778, 1211, 2655, 995, 1270, 300, 550, 33251, 2655, 16758, 3660, 28242, 15042, 25961, 2655, 47525, 8315, 4018, 5551, 4587, 1211, 9154, 710, 8717, 995, 4587, 9381, 710, 4018, 5551, 4587, 1211, 9154, 11778, 1211, 2655, 995, 7251, 33604, 16254, 14739, 3224, 914, 283, 295, 710, 8717, 995, 4587, 9381, 287, 5551, 4587, 1211, 9154, 5551, 11622, 2288, 3615, 23758, 32239, 3224, 33599, 3714, 9566, 1211, 37746], "avg_logprob": -0.4040798491073979, "compression_ratio": 1.5416666666666667, "no_speech_prob": 0.0, "words": [{"start": 866.65, "end": 867.09, "word": "أقل", "probability": 0.5033365885416666}, {"start": 867.09, "end": 867.13, "word": " من", "probability": 0.94921875}, {"start": 867.13, "end": 867.43, "word": " دلتا", "probability": 0.71966552734375}, {"start": 867.43, "end": 867.63, "word": " such", "probability": 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