family
stringclasses 1
value | question_id
int64 0
2
| signal_type
stringclasses 2
values | amplitude_scale
float64 0.5
2.5
| frequency_cycles
float64 1
16
| phase_deg
float64 0
240
⌀ | time_step
int64 0
255
| p_value
float64 3.5
4.5
| prompt
stringlengths 59
76
| ground_truth
float64 0.52
2.33
| symbolic_baseline_answer
float64 0.52
2.33
|
|---|---|---|---|---|---|---|---|---|---|---|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 32
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 33
| 3.900856
|
Solve this system for x:
3.900855513862619x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296997
| 1.296997
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 34
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 35
| 3.920665
|
Solve this system for x:
3.920664665970876x + 1y = 7
1x + 5y = 11
FINAL:
| 1.290092
| 1.290092
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 36
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 37
| 3.986947
|
Solve this system for x:
3.9869473807779947x + 1y = 7
1x + 5y = 11
FINAL:
| 1.267512
| 1.267512
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 38
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 39
| 4.060876
|
Solve this system for x:
4.060876142900872x + 1y = 7
1x + 5y = 11
FINAL:
| 1.243241
| 1.243241
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 40
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 41
| 4.099144
|
Solve this system for x:
4.099144486137381x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231039
| 1.231039
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 42
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 43
| 4.079335
|
Solve this system for x:
4.079335334029124x + 1y = 7
1x + 5y = 11
FINAL:
| 1.237325
| 1.237325
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 44
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 45
| 4.013053
|
Solve this system for x:
4.013052619222005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.258834
| 1.258834
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 46
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 47
| 3.939124
|
Solve this system for x:
3.939123857099128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.283723
| 1.283723
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 48
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 49
| 3.900856
|
Solve this system for x:
3.900855513862619x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296997
| 1.296997
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 50
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 51
| 3.920665
|
Solve this system for x:
3.920664665970876x + 1y = 7
1x + 5y = 11
FINAL:
| 1.290092
| 1.290092
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 52
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 53
| 3.986947
|
Solve this system for x:
3.9869473807779947x + 1y = 7
1x + 5y = 11
FINAL:
| 1.267512
| 1.267512
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 54
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 55
| 4.060876
|
Solve this system for x:
4.060876142900872x + 1y = 7
1x + 5y = 11
FINAL:
| 1.243241
| 1.243241
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 56
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 57
| 4.099144
|
Solve this system for x:
4.099144486137381x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231039
| 1.231039
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 58
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 59
| 4.079335
|
Solve this system for x:
4.079335334029124x + 1y = 7
1x + 5y = 11
FINAL:
| 1.237325
| 1.237325
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 60
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 61
| 4.013053
|
Solve this system for x:
4.013052619222005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.258834
| 1.258834
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 62
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 4
| 240
| 63
| 3.939124
|
Solve this system for x:
3.939123857099128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.283723
| 1.283723
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 0
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 1
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 2
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 3
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 4
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 5
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 6
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 7
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 8
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 9
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 10
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 11
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 12
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 13
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 14
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 15
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 16
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 17
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 18
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 19
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 20
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 21
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 22
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 23
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 24
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 25
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 26
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 27
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 28
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 29
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 30
| 4.05
|
Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 31
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 32
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 33
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 34
| 3.95
|
Solve this system for x:
3.9499999999999997x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 35
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 36
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 37
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 38
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 39
| 3.974118
|
Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 40
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 41
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 42
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 43
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 44
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 45
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 46
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 47
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 48
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 49
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 50
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 51
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 52
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 53
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 54
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 55
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 56
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 57
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296104
| 1.296104
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 58
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 59
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254613
| 1.254613
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 60
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 61
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231845
| 1.231845
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 62
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
linear_system
| 0
|
sinusoid
| 0.5
| 8
| 240
| 63
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL:
| 1.27182
| 1.27182
|
linear_system
| 0
|
sinusoid
| 0.5
| 16
| 240
| 0
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL:
| 1.292617
| 1.292617
|
linear_system
| 0
|
sinusoid
| 0.5
| 16
| 240
| 1
| 3.95
|
Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL:
| 1.28
| 1.28
|
linear_system
| 0
|
sinusoid
| 0.5
| 16
| 240
| 2
| 4.086603
|
Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL:
| 1.235012
| 1.235012
|
linear_system
| 0
|
sinusoid
| 0.5
| 16
| 240
| 3
| 4.05
|
Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246753
| 1.246753
|
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