task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=171,base=2
DIV:171/2=85,r:1 ; DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10101011
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
8, 4, 0, 9, 3
[4,8,0,9,3] ; [0,4,8,9,3] ; [0,4,8,9,3] ; [0,3,4,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; R:(2,3) ; D:(3,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+81=27
9x+81=27 ; x+9=3 ; x=3-9 ; x=-6
base_conversion
base_conversion:repeated-division
n=132,base=2
DIV:132/2=66,r:0 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000100
sorting_algorithms
sorting_algorithms:heap-sort
8, 7, 5, 2, 3
[3,7,5,2,8] ; [7,3,5,2,8] ; [2,3,5,7,8] ; [5,3,2,7,8] ; [2,3,5,7,8] ; [3,2,5,7,8] ; [2,3,5,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,3)
R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
base_conversion
base_conversion:via-binary
n=162,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:2 ; OUT:A2
base_conversion
base_conversion:repeated-division
n=12,base=4
DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:30
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-12=-14
2x-12=-14 ; x+-6=-7 ; x=-7--6 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
5x-35=-55
5x-35=-55 ; x=(-55--35)/5 ; x=-20/5 ; x=-4
sorting_algorithms
sorting_algorithms:merge-sort
3, 7, 8, 6, 0
[3,7,6,8,0] ; [3,6,7,8,0] ; [0,3,6,7,8]
base_conversion
base_conversion:repeated-division
n=168,base=4
DIV:168/4=42,r:0 ; DIV:42/4=10,r:2 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2220
multidigit_addition
multidigit_addition:left-to-right-partials
739+914
p100:700+900=1600 ; p10:30+10=40 ; p1:9+4=13 ; sum=1600+40+13=1653
base_conversion
base_conversion:decomposition
n=210,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:3102
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=-15
3x+9=-15 ; x+3=-5 ; x=-5-3 ; x=-8
multidigit_addition
multidigit_addition:right-to-left-carry
248+121
d2:8+1+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:2+1+0=3→w3,c0 ; sum=369
list_summation
list_summation:pairwise
8, 6, 7, 1
8+6=14 ; 7+1=8 ; 14+8=22
list_summation
list_summation:right-to-left
8, 3, 8, 0
8+0=8 ; 3+8=11 ; 8+11=19
list_summation
list_summation:pairwise
4, 2, 7, 8
4+2=6 ; 7+8=15 ; 6+15=21
list_summation
list_summation:right-to-left
5, 4, 6, 9
6+9=15 ; 4+15=19 ; 5+19=24
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:selection-sort
0, 3, 2, 7, 6
[0,3,2,7,6] ; [0,2,3,7,6] ; [0,2,3,7,6] ; [0,2,3,6,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-63=-70
7x-63=-70 ; x+-9=-10 ; x=-10--9 ; x=-1
sorting_algorithms
sorting_algorithms:merge-sort
4, 0, 5, 1, 7
[0,4,5,1,7] ; [0,4,1,5,7] ; [0,1,4,5,7]
base_conversion
base_conversion:repeated-division
n=82,base=2
DIV:82/2=41,r:0 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010010
multidigit_addition
multidigit_addition:right-to-left-carry
988+533
d2:8+3+0=11→w1,c1 ; d1:8+3+1=12→w2,c1 ; d0:9+5+1=15→w5,c1 ; sum=1521
multidigit_addition
multidigit_addition:right-to-left-carry
135+696
d2:5+6+0=11→w1,c1 ; d1:3+9+1=13→w3,c1 ; d0:1+6+1=8→w8,c0 ; sum=831
sorting_algorithms
sorting_algorithms:insertion-sort
6, 9, 0, 4, 3
[6,9,0,4,3] ; [0,6,9,4,3] ; [0,4,6,9,3] ; [0,3,4,6,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(2,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:heap-sort
6, 5, 8, 7, 0
[6,7,8,5,0] ; [8,7,6,5,0] ; [0,7,6,5,8] ; [7,0,6,5,8] ; [7,5,6,0,8] ; [0,5,6,7,8] ; [6,5,0,7,8] ; [0,5,6,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8]
list_summation
list_summation:left-to-right
2, 4, 2, 1
2+4=6 ; 6+2=8 ; 8+1=9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 4, 2, 6
[5,4,9,2,6] ; [5,4,2,9,6] ; [5,4,2,6,9] ; [4,5,2,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9]
base_conversion
base_conversion:repeated-division
n=55,base=16
DIV:55/16=3,r:7 ; DIV:3/16=0,r:3 ; OUT:37
sorting_algorithms
sorting_algorithms:selection-sort
5, 2, 3, 0, 4
[0,2,3,5,4] ; [0,2,3,5,4] ; [0,2,3,5,4] ; [0,2,3,4,5]
linear_equation_solving
linear_equation_solving:inverse-ops
4x+16=4
4x+16=4 ; x=(4-16)/4 ; x=-12/4 ; x=-3
linear_equation_solving
linear_equation_solving:inverse-ops
5x-15=20
5x-15=20 ; x=(20--15)/5 ; x=35/5 ; x=7
list_summation
list_summation:right-to-left
9, 2, 5, 3
5+3=8 ; 2+8=10 ; 9+10=19
linear_equation_solving
linear_equation_solving:inverse-ops
5x-35=-35
5x-35=-35 ; x=(-35--35)/5 ; x=0/5 ; x=0
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,5)
D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
834+425
round:840+425=1265 ; adjust:1265-6=1259 ; sum=1259
base_conversion
base_conversion:decomposition
n=165,base=16
TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5
base_conversion
base_conversion:decomposition
n=255,base=16
TERM:15*16^1=240 ; TERM:15*16^0=15 ; OUT:FF
base_conversion
base_conversion:repeated-division
n=30,base=2
DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11110
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:via-binary
n=74,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:10 ; OUT:4A
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 0, 1, 8, 3
[0,5,1,8,3] ; [0,1,5,8,3] ; [0,1,5,3,8] ; [0,1,3,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
357+115
round:360+115=475 ; adjust:475-3=472 ; sum=472
sorting_algorithms
sorting_algorithms:merge-sort
9, 2, 3, 6, 0
[2,9,3,6,0] ; [2,3,6,9,0] ; [0,2,3,6,9]
sorting_algorithms
sorting_algorithms:selection-sort
1, 7, 4, 6, 0
[0,7,4,6,1] ; [0,1,4,6,7] ; [0,1,4,6,7] ; [0,1,4,6,7]
sorting_algorithms
sorting_algorithms:bubble-sort
0, 7, 2, 5, 8
[0,2,7,5,8] ; [0,2,5,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
2x-18=-16
2x-18=-16 ; x=(-16--18)/2 ; x=2/2 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
415+776
p100:400+700=1100 ; p10:10+70=80 ; p1:5+6=11 ; sum=1100+80+11=1191
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,5)
D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
9x+0=81
9x+0=81 ; x=(81-0)/9 ; x=81/9 ; x=9
sorting_algorithms
sorting_algorithms:insertion-sort
7, 8, 0, 6, 5
[7,8,0,6,5] ; [0,7,8,6,5] ; [0,6,7,8,5] ; [0,5,6,7,8]
list_summation
list_summation:pairwise
0, 5, 5, 0
0+5=5 ; 5+0=5 ; 5+5=10
sorting_algorithms
sorting_algorithms:merge-sort
6, 7, 9, 3, 0
[6,7,3,9,0] ; [3,6,7,9,0] ; [0,3,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=63
9x+45=63 ; x+5=7 ; x=7-5 ; x=2
base_conversion
base_conversion:via-binary
n=107,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1101011
list_summation
list_summation:left-to-right
9, 4, 2, 3
9+4=13 ; 13+2=15 ; 15+3=18
multidigit_addition
multidigit_addition:left-to-right-partials
891+783
p100:800+700=1500 ; p10:90+80=170 ; p1:1+3=4 ; sum=1500+170+4=1674
base_conversion
base_conversion:decomposition
n=183,base=16
TERM:11*16^1=176 ; TERM:7*16^0=7 ; OUT:B7
base_conversion
base_conversion:via-binary
n=188,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10111100
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; R:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=77,base=4
DIV:77/4=19,r:1 ; DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1031
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+32=8
8x+32=8 ; x=(8-32)/8 ; x=-24/8 ; x=-3
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+28=60
4x+28=60 ; 4x=32 ; x=8
list_summation
list_summation:right-to-left
3, 6, 8, 7
8+7=15 ; 6+15=21 ; 3+21=24
multidigit_addition
multidigit_addition:right-to-left-carry
944+682
d2:4+2+0=6→w6,c0 ; d1:4+8+0=12→w2,c1 ; d0:9+6+1=16→w6,c1 ; sum=1626
linear_equation_solving
linear_equation_solving:inverse-ops
3x-24=-18
3x-24=-18 ; x=(-18--24)/3 ; x=6/3 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(3,1)
R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1)
sorting_algorithms
sorting_algorithms:bubble-sort
3, 0, 6, 4, 2
[0,3,6,4,2] ; [0,3,4,6,2] ; [0,3,4,2,6] ; [0,3,2,4,6] ; [0,2,3,4,6]
sorting_algorithms
sorting_algorithms:insertion-sort
5, 8, 6, 3, 2
[5,8,6,3,2] ; [5,6,8,3,2] ; [3,5,6,8,2] ; [2,3,5,6,8]
sorting_algorithms
sorting_algorithms:heap-sort
7, 2, 6, 8, 9
[7,9,6,8,2] ; [9,7,6,8,2] ; [9,8,6,7,2] ; [2,8,6,7,9] ; [8,2,6,7,9] ; [8,7,6,2,9] ; [2,7,6,8,9] ; [7,2,6,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-56=-84
7x-56=-84 ; x+-8=-12 ; x=-12--8 ; x=-4
sorting_algorithms
sorting_algorithms:selection-sort
0, 9, 7, 1, 8
[0,9,7,1,8] ; [0,1,7,9,8] ; [0,1,7,9,8] ; [0,1,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+21=45
3x+21=45 ; x=(45-21)/3 ; x=24/3 ; x=8
multidigit_addition
multidigit_addition:rounding-decomposition
864+572
round:870+572=1442 ; adjust:1442-6=1436 ; sum=1436
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
581+800
round:590+800=1390 ; adjust:1390-9=1381 ; sum=1381
multidigit_addition
multidigit_addition:right-to-left-carry
320+393
d2:0+3+0=3→w3,c0 ; d1:2+9+0=11→w1,c1 ; d0:3+3+1=7→w7,c0 ; sum=713
list_summation
list_summation:right-to-left
4, 7, 0, 3
0+3=3 ; 7+3=10 ; 4+10=14
base_conversion
base_conversion:via-binary
n=190,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111110
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
2, 4, 2, 8
2+4=6 ; 6+2=8 ; 8+8=16
linear_equation_solving
linear_equation_solving:inverse-ops
8x-32=40
8x-32=40 ; x=(40--32)/8 ; x=72/8 ; x=9
multidigit_addition
multidigit_addition:right-to-left-carry
135+634
d2:5+4+0=9→w9,c0 ; d1:3+3+0=6→w6,c0 ; d0:1+6+0=7→w7,c0 ; sum=769
sorting_algorithms
sorting_algorithms:insertion-sort
1, 8, 9, 7, 2
[1,8,9,7,2] ; [1,8,9,7,2] ; [1,7,8,9,2] ; [1,2,7,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
941+955
round:950+955=1905 ; adjust:1905-9=1896 ; sum=1896
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,4)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)