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:decomposition
n=181,base=16
TERM:11*16^1=176 ; TERM:5*16^0=5 ; OUT:B5
multidigit_addition
multidigit_addition:right-to-left-carry
305+842
d2:5+2+0=7→w7,c0 ; d1:0+4+0=4→w4,c0 ; d0:3+8+0=11→w1,c1 ; sum=1147
list_summation
list_summation:left-to-right
4, 0, 2, 5
4+0=4 ; 4+2=6 ; 6+5=11
sorting_algorithms
sorting_algorithms:heap-sort
7, 6, 9, 5, 2
[9,6,7,5,2] ; [2,6,7,5,9] ; [7,6,2,5,9] ; [5,6,2,7,9] ; [6,5,2,7,9] ; [2,5,6,7,9] ; [5,2,6,7,9] ; [2,5,6,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:bubble-sort
7, 8, 1, 5, 4
[7,1,8,5,4] ; [7,1,5,8,4] ; [7,1,5,4,8] ; [1,7,5,4,8] ; [1,5,7,4,8] ; [1,5,4,7,8] ; [1,4,5,7,8]
list_summation
list_summation:left-to-right
9, 5, 1, 7
9+5=14 ; 14+1=15 ; 15+7=22
list_summation
list_summation:left-to-right
2, 3, 4, 1
2+3=5 ; 5+4=9 ; 9+1=10
multidigit_addition
multidigit_addition:right-to-left-carry
173+878
d2:3+8+0=11→w1,c1 ; d1:7+7+1=15→w5,c1 ; d0:1+8+1=10→w0,c1 ; sum=1051
linear_equation_solving
linear_equation_solving:inverse-ops
3x-24=-36
3x-24=-36 ; x=(-36--24)/3 ; x=-12/3 ; x=-4
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+16=16
2x+16=16 ; 2x=0 ; x=0
list_summation
list_summation:pairwise
5, 3, 5, 9
5+3=8 ; 5+9=14 ; 8+14=22
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-36=-9
9x-36=-9 ; 9x=27 ; x=3
list_summation
list_summation:pairwise
6, 9, 9, 7
6+9=15 ; 9+7=16 ; 15+16=31
multidigit_addition
multidigit_addition:left-to-right-partials
913+679
p100:900+600=1500 ; p10:10+70=80 ; p1:3+9=12 ; sum=1500+80+12=1592
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+12=-9
3x+12=-9 ; x+4=-3 ; x=-3-4 ; x=-7
sorting_algorithms
sorting_algorithms:insertion-sort
5, 8, 3, 7, 9
[5,8,3,7,9] ; [3,5,8,7,9] ; [3,5,7,8,9] ; [3,5,7,8,9]
base_conversion
base_conversion:via-binary
n=155,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10011011
base_conversion
base_conversion:via-binary
n=175,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:15 ; OUT:AF
sorting_algorithms
sorting_algorithms:selection-sort
7, 8, 3, 4, 6
[3,8,7,4,6] ; [3,4,7,8,6] ; [3,4,6,8,7] ; [3,4,6,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:selection-sort
5, 8, 0, 2, 1
[0,8,5,2,1] ; [0,1,5,2,8] ; [0,1,2,5,8] ; [0,1,2,5,8]
sorting_algorithms
sorting_algorithms:heap-sort
8, 9, 7, 2, 4
[9,8,7,2,4] ; [4,8,7,2,9] ; [8,4,7,2,9] ; [2,4,7,8,9] ; [7,4,2,8,9] ; [2,4,7,8,9] ; [4,2,7,8,9] ; [2,4,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+36=-12
6x+36=-12 ; x=(-12-36)/6 ; x=-48/6 ; x=-8
list_summation
list_summation:pairwise
5, 7, 1, 2
5+7=12 ; 1+2=3 ; 12+3=15
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,1)
R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1)
linear_equation_solving
linear_equation_solving:inverse-ops
5x-10=-45
5x-10=-45 ; x=(-45--10)/5 ; x=-35/5 ; x=-7
base_conversion
base_conversion:decomposition
n=248,base=16
TERM:15*16^1=240 ; TERM:8*16^0=8 ; OUT:F8
sorting_algorithms
sorting_algorithms:heap-sort
6, 0, 3, 1, 9
[6,9,3,1,0] ; [9,6,3,1,0] ; [0,6,3,1,9] ; [6,0,3,1,9] ; [6,1,3,0,9] ; [0,1,3,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 6, 0, 2
[5,6,9,0,2] ; [5,6,0,9,2] ; [5,6,0,2,9] ; [5,0,6,2,9] ; [5,0,2,6,9] ; [0,5,2,6,9] ; [0,2,5,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
553+137
round:560+137=697 ; adjust:697-7=690 ; sum=690
multidigit_addition
multidigit_addition:left-to-right-partials
444+913
p100:400+900=1300 ; p10:40+10=50 ; p1:4+3=7 ; sum=1300+50+7=1357
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,1)
R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1)
base_conversion
base_conversion:via-binary
n=188,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:12 ; OUT:BC
sorting_algorithms
sorting_algorithms:selection-sort
5, 9, 4, 1, 7
[1,9,4,5,7] ; [1,4,9,5,7] ; [1,4,5,9,7] ; [1,4,5,7,9]
list_summation
list_summation:pairwise
5, 5, 1, 8
5+5=10 ; 1+8=9 ; 10+9=19
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-12=4
4x-12=4 ; 4x=16 ; x=4
sorting_algorithms
sorting_algorithms:insertion-sort
9, 5, 7, 8, 4
[5,9,7,8,4] ; [5,7,9,8,4] ; [5,7,8,9,4] ; [4,5,7,8,9]
base_conversion
base_conversion:repeated-division
n=147,base=8
DIV:147/8=18,r:3 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:223
multidigit_addition
multidigit_addition:rounding-decomposition
692+327
round:700+327=1027 ; adjust:1027-8=1019 ; sum=1019
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+36=-9
9x+36=-9 ; x+4=-1 ; x=-1-4 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
list_summation
list_summation:left-to-right
0, 6, 8, 5
0+6=6 ; 6+8=14 ; 14+5=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(4,5)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
list_summation
list_summation:pairwise
4, 4, 9, 7
4+4=8 ; 9+7=16 ; 8+16=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-35=0
7x-35=0 ; x=(0--35)/7 ; x=35/7 ; x=5
list_summation
list_summation:right-to-left
8, 0, 5, 0
5+0=5 ; 0+5=5 ; 8+5=13
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-45=-20
5x-45=-20 ; x+-9=-4 ; x=-4--9 ; x=5
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-9=-72
9x-9=-72 ; x+-1=-8 ; x=-8--1 ; x=-7
base_conversion
base_conversion:repeated-division
n=232,base=4
DIV:232/4=58,r:0 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3220
multidigit_addition
multidigit_addition:right-to-left-carry
922+611
d2:2+1+0=3→w3,c0 ; d1:2+1+0=3→w3,c0 ; d0:9+6+0=15→w5,c1 ; sum=1533
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
multidigit_addition
multidigit_addition:left-to-right-partials
311+744
p100:300+700=1000 ; p10:10+40=50 ; p1:1+4=5 ; sum=1000+50+5=1055
list_summation
list_summation:right-to-left
2, 9, 4, 0
4+0=4 ; 9+4=13 ; 2+13=15
linear_equation_solving
linear_equation_solving:inverse-ops
5x+25=-20
5x+25=-20 ; x=(-20-25)/5 ; x=-45/5 ; x=-9
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 2, 5, 0
[1,8,2,5,0] ; [1,2,8,5,0] ; [1,2,5,8,0] ; [1,2,5,0,8] ; [1,2,0,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
3, 9, 1, 9
3+9=12 ; 12+1=13 ; 13+9=22
list_summation
list_summation:left-to-right
0, 2, 4, 2
0+2=2 ; 2+4=6 ; 6+2=8
multidigit_addition
multidigit_addition:left-to-right-partials
356+685
p100:300+600=900 ; p10:50+80=130 ; p1:6+5=11 ; sum=900+130+11=1041
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(1,4)
R:(0,3) ; R:(0,4) ; D:(1,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+28=77
7x+28=77 ; 7x=49 ; x=7
list_summation
list_summation:left-to-right
4, 4, 8, 3
4+4=8 ; 8+8=16 ; 16+3=19
multidigit_addition
multidigit_addition:right-to-left-carry
374+915
d2:4+5+0=9→w9,c0 ; d1:7+1+0=8→w8,c0 ; d0:3+9+0=12→w2,c1 ; sum=1289
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=0
7x-42=0 ; x=(0--42)/7 ; x=42/7 ; x=6
multidigit_addition
multidigit_addition:right-to-left-carry
795+804
d2:5+4+0=9→w9,c0 ; d1:9+0+0=9→w9,c0 ; d0:7+8+0=15→w5,c1 ; sum=1599
base_conversion
base_conversion:repeated-division
n=147,base=8
DIV:147/8=18,r:3 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:223
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+10=18
2x+10=18 ; 2x=8 ; x=4
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+20=4
4x+20=4 ; 4x=-16 ; x=-4
list_summation
list_summation:pairwise
8, 3, 8, 2
8+3=11 ; 8+2=10 ; 11+10=21
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-35=-70
5x-35=-70 ; 5x=-35 ; x=-7
list_summation
list_summation:left-to-right
9, 0, 2, 4
9+0=9 ; 9+2=11 ; 11+4=15
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(4,3)
R:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:right-to-left-carry
540+598
d2:0+8+0=8→w8,c0 ; d1:4+9+0=13→w3,c1 ; d0:5+5+1=11→w1,c1 ; sum=1138
multidigit_addition
multidigit_addition:left-to-right-partials
172+225
p100:100+200=300 ; p10:70+20=90 ; p1:2+5=7 ; sum=300+90+7=397
linear_equation_solving
linear_equation_solving:inverse-ops
3x+21=3
3x+21=3 ; x=(3-21)/3 ; x=-18/3 ; x=-6
base_conversion
base_conversion:repeated-division
n=62,base=16
DIV:62/16=3,r:14 ; DIV:3/16=0,r:3 ; OUT:3E
base_conversion
base_conversion:repeated-division
n=81,base=4
DIV:81/4=20,r:1 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1101
list_summation
list_summation:left-to-right
2, 6, 4, 3
2+6=8 ; 8+4=12 ; 12+3=15
list_summation
list_summation:right-to-left
9, 7, 6, 2
6+2=8 ; 7+8=15 ; 9+15=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
0, 9, 4, 8
0+9=9 ; 4+8=12 ; 9+12=21
list_summation
list_summation:right-to-left
0, 1, 4, 5
4+5=9 ; 1+9=10 ; 0+10=10
list_summation
list_summation:left-to-right
8, 8, 7, 4
8+8=16 ; 16+7=23 ; 23+4=27
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,4)
D:(4,2) ; R:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-35=-25
5x-35=-25 ; 5x=10 ; x=2
multidigit_addition
multidigit_addition:left-to-right-partials
230+622
p100:200+600=800 ; p10:30+20=50 ; p1:0+2=2 ; sum=800+50+2=852
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 6, 1, 7
[0,9,1,6,7] ; [0,1,6,9,7] ; [0,1,6,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+45=117
9x+45=117 ; 9x=72 ; x=8
linear_equation_solving
linear_equation_solving:inverse-ops
9x-45=-117
9x-45=-117 ; x=(-117--45)/9 ; x=-72/9 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
0, 5, 9, 7, 4
[0,7,9,5,4] ; [9,7,0,5,4] ; [4,7,0,5,9] ; [7,4,0,5,9] ; [7,5,0,4,9] ; [4,5,0,7,9] ; [5,4,0,7,9] ; [0,4,5,7,9] ; [4,0,5,7,9] ; [0,4,5,7,9]
sorting_algorithms
sorting_algorithms:insertion-sort
8, 0, 2, 9, 3
[0,8,2,9,3] ; [0,2,8,9,3] ; [0,2,8,9,3] ; [0,2,3,8,9]
list_summation
list_summation:left-to-right
8, 1, 0, 9
8+1=9 ; 9+0=9 ; 9+9=18
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,2)
R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
multidigit_addition
multidigit_addition:right-to-left-carry
272+717
d2:2+7+0=9→w9,c0 ; d1:7+1+0=8→w8,c0 ; d0:2+7+0=9→w9,c0 ; sum=989
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+3=-12
3x+3=-12 ; x+1=-4 ; x=-4-1 ; x=-5
sorting_algorithms
sorting_algorithms:merge-sort
1, 0, 4, 2, 5
[0,1,4,2,5] ; [0,1,2,4,5]