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
| 2
|
sinusoid
| 0.5
| 4
| 120
| 32
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 33
| 4.060876
|
Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL:
| 1.965808
| 1.965808
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 34
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 35
| 3.986947
|
Solve this system for x:
3.986947380777995x + 1y = 10
2x + 4y = 12
FINAL:
| 2.007487
| 2.007487
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 36
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 37
| 3.920665
|
Solve this system for x:
3.9206646659708766x + 1y = 10
2x + 4y = 12
FINAL:
| 2.046386
| 2.046386
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 38
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 39
| 3.900856
|
Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058306
| 2.058306
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 40
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 41
| 3.939124
|
Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL:
| 2.035402
| 2.035402
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 42
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 43
| 4.013053
|
Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL:
| 1.992569
| 1.992569
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 44
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 45
| 4.079335
|
Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL:
| 1.95567
| 1.95567
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 46
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 47
| 4.099144
|
Solve this system for x:
4.099144486137381x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944907
| 1.944907
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 48
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 49
| 4.060876
|
Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL:
| 1.965808
| 1.965808
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 50
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 51
| 3.986947
|
Solve this system for x:
3.9869473807779947x + 1y = 10
2x + 4y = 12
FINAL:
| 2.007487
| 2.007487
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 52
| 3.95
|
Solve this system for x:
3.9499999999999997x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 53
| 3.920665
|
Solve this system for x:
3.9206646659708766x + 1y = 10
2x + 4y = 12
FINAL:
| 2.046386
| 2.046386
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 54
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 55
| 3.900856
|
Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058306
| 2.058306
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 56
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 57
| 3.939124
|
Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL:
| 2.035402
| 2.035402
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 58
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 59
| 4.013053
|
Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL:
| 1.992569
| 1.992569
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 60
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 61
| 4.079335
|
Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL:
| 1.95567
| 1.95567
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 62
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 120
| 63
| 4.099144
|
Solve this system for x:
4.099144486137381x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944907
| 1.944907
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 0
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 1
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 2
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 3
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 4
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 5
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 6
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 7
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 8
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 9
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 10
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 11
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 12
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 13
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 14
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 15
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 16
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 17
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 18
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 19
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 20
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 21
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 22
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 23
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 24
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 25
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 26
| 3.95
|
Solve this system for x:
3.9499999999999997x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 27
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 28
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 29
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 30
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 31
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 32
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 33
| 4.025882
|
Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 34
| 3.95
|
Solve this system for x:
3.9499999999999997x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 35
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 36
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 37
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 38
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 39
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 40
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 41
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 42
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 43
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 44
| 3.913397
|
Solve this system for x:
3.9133974596215557x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 45
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 46
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 47
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 48
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 49
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 50
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 51
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 52
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 53
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 54
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 55
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 56
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 57
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 58
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 59
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 60
| 3.913397
|
Solve this system for x:
3.9133974596215557x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 61
| 3.974118
|
Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 62
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 120
| 63
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 120
| 0
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 120
| 1
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 120
| 2
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 120
| 3
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
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