Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
 Community
1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
base_conversion
base_conversion:via-binary
n=123,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:1323
linear_equation_solving
linear_equation_solving:inverse-ops
8x+24=56
8x+24=56 ; x=(56-24)/8 ; x=32/8 ; x=4
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+9=18
9x+9=18 ; 9x=9 ; x=1
base_conversion
base_conversion:via-binary
n=255,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11111111
multidigit_addition
multidigit_addition:left-to-right-partials
569+769
p100:500+700=1200 ; p10:60+60=120 ; p1:9+9=18 ; sum=1200+120+18=1338
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(2,2)
D:(2,0) ; R:(2,1) ; R:(2,2)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+20=-4
4x+20=-4 ; 4x=-24 ; x=-6
sorting_algorithms
sorting_algorithms:merge-sort
5, 9, 1, 7, 3
[1,5,7,9,3] ; [1,3,5,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(2,4)
D:(2,3) ; R:(2,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(2,5)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+20=0
5x+20=0 ; x=(0-20)/5 ; x=-20/5 ; x=-4
base_conversion
base_conversion:via-binary
n=143,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:217
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(4,4)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=163,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:2203
list_summation
list_summation:pairwise
9, 8, 2, 1
9+8=17 ; 2+1=3 ; 17+3=20
sorting_algorithms
sorting_algorithms:merge-sort
6, 1, 5, 8, 3
[1,6,5,8,3] ; [1,5,6,8,3] ; [1,3,5,6,8]
list_summation
list_summation:right-to-left
0, 6, 8, 0
8+0=8 ; 6+8=14 ; 0+14=14
multidigit_addition
multidigit_addition:rounding-decomposition
554+236
round:560+236=796 ; adjust:796-6=790 ; sum=790
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,5)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
8, 2, 3, 4, 5
[2,8,3,4,5] ; [2,3,8,4,5] ; [2,3,4,8,5] ; [2,3,4,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
426+451
round:430+451=881 ; adjust:881-4=877 ; sum=877
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+36=72
9x+36=72 ; 9x=36 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
260+729
p100:200+700=900 ; p10:60+20=80 ; p1:0+9=9 ; sum=900+80+9=989
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-42=-7
7x-42=-7 ; x+-6=-1 ; x=-1--6 ; x=5
base_conversion
base_conversion:decomposition
n=242,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:3302
base_conversion
base_conversion:via-binary
n=118,base=16
BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76
base_conversion
base_conversion:via-binary
n=54,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:110110
multidigit_addition
multidigit_addition:rounding-decomposition
809+503
round:810+503=1313 ; adjust:1313-1=1312 ; sum=1312
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(2,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
4x-32=-64
4x-32=-64 ; x=(-64--32)/4 ; x=-32/4 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+40=88
8x+40=88 ; 8x=48 ; x=6
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(4,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(5,5)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
3, 9, 4, 6, 1
[3,4,6,9,1] ; [1,3,4,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+28=63
7x+28=63 ; x=(63-28)/7 ; x=35/7 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
3x+15=33
3x+15=33 ; x=(33-15)/3 ; x=18/3 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(5,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
182+386
round:190+386=576 ; adjust:576-8=568 ; sum=568
list_summation
list_summation:right-to-left
3, 5, 6, 3
6+3=9 ; 5+9=14 ; 3+14=17
sorting_algorithms
sorting_algorithms:merge-sort
3, 4, 0, 6, 8
[0,3,4,6,8]
base_conversion
base_conversion:via-binary
n=128,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10000000
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(2,4)
R:(1,4) ; D:(2,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,4)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
9x-72=-27
9x-72=-27 ; x=(-27--72)/9 ; x=45/9 ; x=5
base_conversion
base_conversion:via-binary
n=26,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:10 ; OUT:1A
sorting_algorithms
sorting_algorithms:merge-sort
6, 2, 9, 3, 1
[2,6,9,3,1] ; [2,6,3,9,1] ; [2,3,6,9,1] ; [1,2,3,6,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-14=-70
7x-14=-70 ; 7x=-56 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
2, 5, 9, 8, 0
[2,8,9,5,0] ; [9,8,2,5,0] ; [0,8,2,5,9] ; [8,0,2,5,9] ; [8,5,2,0,9] ; [0,5,2,8,9] ; [5,0,2,8,9] ; [2,0,5,8,9] ; [0,2,5,8,9]
base_conversion
base_conversion:via-binary
n=136,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10001000
list_summation
list_summation:pairwise
4, 6, 6, 8
4+6=10 ; 6+8=14 ; 10+14=24
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-14=-26
2x-14=-26 ; x+-7=-13 ; x=-13--7 ; x=-6
list_summation
list_summation:left-to-right
7, 1, 1, 3
7+1=8 ; 8+1=9 ; 9+3=12
list_summation
list_summation:left-to-right
1, 9, 0, 5
1+9=10 ; 10+0=10 ; 10+5=15
sorting_algorithms
sorting_algorithms:merge-sort
3, 8, 2, 1, 6
[3,8,1,2,6] ; [1,2,3,8,6] ; [1,2,3,6,8]
list_summation
list_summation:pairwise
9, 9, 5, 2
9+9=18 ; 5+2=7 ; 18+7=25
list_summation
list_summation:pairwise
5, 8, 6, 5
5+8=13 ; 6+5=11 ; 13+11=24
multidigit_addition
multidigit_addition:rounding-decomposition
654+775
round:660+775=1435 ; adjust:1435-6=1429 ; sum=1429
multidigit_addition
multidigit_addition:left-to-right-partials
237+905
p100:200+900=1100 ; p10:30+0=30 ; p1:7+5=12 ; sum=1100+30+12=1142
list_summation
list_summation:right-to-left
2, 3, 1, 1
1+1=2 ; 3+2=5 ; 2+5=7
multidigit_addition
multidigit_addition:left-to-right-partials
572+668
p100:500+600=1100 ; p10:70+60=130 ; p1:2+8=10 ; sum=1100+130+10=1240
linear_equation_solving
linear_equation_solving:inverse-ops
3x-9=-27
3x-9=-27 ; x=(-27--9)/3 ; x=-18/3 ; x=-6
multidigit_addition
multidigit_addition:rounding-decomposition
713+300
round:720+300=1020 ; adjust:1020-7=1013 ; sum=1013
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=0
8x-40=0 ; x+-5=0 ; x=0--5 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
210+438
d2:0+8+0=8→w8,c0 ; d1:1+3+0=4→w4,c0 ; d0:2+4+0=6→w6,c0 ; sum=648
base_conversion
base_conversion:via-binary
n=216,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:330
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=75
5x+40=75 ; 5x=35 ; x=7
list_summation
list_summation:left-to-right
8, 8, 7, 7
8+8=16 ; 16+7=23 ; 23+7=30
sorting_algorithms
sorting_algorithms:selection-sort
9, 2, 7, 0, 3
[0,2,7,9,3] ; [0,2,7,9,3] ; [0,2,3,9,7] ; [0,2,3,7,9]
list_summation
list_summation:left-to-right
6, 2, 5, 9
6+2=8 ; 8+5=13 ; 13+9=22
list_summation
list_summation:right-to-left
3, 4, 0, 3
0+3=3 ; 4+3=7 ; 3+7=10
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(4,1)
D:(3,0) ; D:(4,0) ; R:(4,1)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
9, 6, 2, 3, 1
[1,6,2,3,9] ; [6,1,2,3,9] ; [6,3,2,1,9] ; [1,3,2,6,9] ; [3,1,2,6,9] ; [2,1,3,6,9] ; [1,2,3,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,2)
D:(3,1) ; R:(3,2)
list_summation
list_summation:pairwise
0, 2, 4, 1
0+2=2 ; 4+1=5 ; 2+5=7
sorting_algorithms
sorting_algorithms:selection-sort
8, 6, 3, 9, 7
[3,6,8,9,7] ; [3,6,8,9,7] ; [3,6,7,9,8] ; [3,6,7,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
396+368
d2:6+8+0=14→w4,c1 ; d1:9+6+1=16→w6,c1 ; d0:3+3+1=7→w7,c0 ; sum=764
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:bubble-sort
6, 9, 2, 3, 8
[6,2,9,3,8] ; [6,2,3,9,8] ; [6,2,3,8,9] ; [2,6,3,8,9] ; [2,3,6,8,9]
base_conversion
base_conversion:via-binary
n=218,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:10 ; OUT:DA
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+6=-9
3x+6=-9 ; 3x=-15 ; x=-5
sorting_algorithms
sorting_algorithms:bubble-sort
6, 7, 2, 4, 0
[6,2,7,4,0] ; [6,2,4,7,0] ; [6,2,4,0,7] ; [2,6,4,0,7] ; [2,4,6,0,7] ; [2,4,0,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7]
sorting_algorithms
sorting_algorithms:selection-sort
7, 2, 1, 4, 9
[1,2,7,4,9] ; [1,2,7,4,9] ; [1,2,4,7,9] ; [1,2,4,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
3, 2, 5, 8, 9
[3,9,5,8,2] ; [9,3,5,8,2] ; [9,8,5,3,2] ; [2,8,5,3,9] ; [8,2,5,3,9] ; [8,3,5,2,9] ; [2,3,5,8,9] ; [5,3,2,8,9] ; [2,3,5,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(3,3)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3)
multidigit_addition
multidigit_addition:right-to-left-carry
177+117
d2:7+7+0=14→w4,c1 ; d1:7+1+1=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=294
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
list_summation
list_summation:left-to-right
4, 2, 4, 1
4+2=6 ; 6+4=10 ; 10+1=11
sorting_algorithms
sorting_algorithms:merge-sort
6, 8, 4, 9, 5
[4,6,8,9,5] ; [4,5,6,8,9]
base_conversion
base_conversion:repeated-division
n=83,base=4
DIV:83/4=20,r:3 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1103
multidigit_addition
multidigit_addition:right-to-left-carry
939+175
d2:9+5+0=14→w4,c1 ; d1:3+7+1=11→w1,c1 ; d0:9+1+1=11→w1,c1 ; sum=1114
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(5,5)
D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=30,base=16
TERM:1*16^1=16 ; TERM:14*16^0=14 ; OUT:1E
sorting_algorithms
sorting_algorithms:insertion-sort
0, 2, 1, 9, 5
[0,2,1,9,5] ; [0,1,2,9,5] ; [0,1,2,9,5] ; [0,1,2,5,9]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 6, 3, 0
[1,5,6,3,0] ; [1,5,3,6,0] ; [1,5,3,0,6] ; [1,3,5,0,6] ; [1,3,0,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6]