task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 7, 3, 2 | [1,4,7,3,2] ; [1,4,7,3,2] ; [1,3,4,7,2] ; [1,2,3,4,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 288+549 | round:290+549=839 ; adjust:839-2=837 ; sum=837 |
list_summation | list_summation:pairwise | 7, 8, 5, 1 | 7+8=15 ; 5+1=6 ; 15+6=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 330+162 | p100:300+100=400 ; p10:30+60=90 ; p1:0+2=2 ; sum=400+90+2=492 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,1) | R:(2,1) ; D:(3,1) |
base_conversion | base_conversion:repeated-division | n=56,base=4 | DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:320 |
base_conversion | base_conversion:repeated-division | n=109,base=16 | DIV:109/16=6,r:13 ; DIV:6/16=0,r:6 ; OUT:6D |
multidigit_addition | multidigit_addition:right-to-left-carry | 840+868 | d2:0+8+0=8→w8,c0 ; d1:4+6+0=10→w0,c1 ; d0:8+8+1=17→w7,c1 ; sum=1708 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 6, 5, 7 | [1,2,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-18 | 6x-6=-18 ; x+-1=-3 ; x=-3--1 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 7, 4, 7, 6 | 7+4=11 ; 11+7=18 ; 18+6=24 |
list_summation | list_summation:pairwise | 2, 6, 6, 9 | 2+6=8 ; 6+9=15 ; 8+15=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 5, 7, 4 | [0,9,5,7,4] ; [0,5,9,7,4] ; [0,5,7,9,4] ; [0,4,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 777+380 | d2:7+0+0=7→w7,c0 ; d1:7+8+0=15→w5,c1 ; d0:7+3+1=11→w1,c1 ; sum=1157 |
list_summation | list_summation:pairwise | 2, 8, 2, 7 | 2+8=10 ; 2+7=9 ; 10+9=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,4) | D:(2,2) ; R:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 1, 9, 3 | [4,6,1,9,3] ; [1,4,6,9,3] ; [1,4,6,9,3] ; [1,3,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 6, 7, 0 | [0,5,6,7,3] ; [0,3,6,7,5] ; [0,3,5,7,6] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=-12 | 3x-15=-12 ; x=(-12--15)/3 ; x=3/3 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-48 | 8x+0=-48 ; x=(-48-0)/8 ; x=-48/8 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=63 | 7x+35=63 ; x=(63-35)/7 ; x=28/7 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 1, 8, 0 | [0,6,1,8,2] ; [0,1,6,8,2] ; [0,1,2,8,6] ; [0,1,2,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=77 | 7x+42=77 ; 7x=35 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 654+802 | round:660+802=1462 ; adjust:1462-6=1456 ; sum=1456 |
list_summation | list_summation:left-to-right | 1, 6, 7, 8 | 1+6=7 ; 7+7=14 ; 14+8=22 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 6, 5, 3 | [7,9,6,5,3] ; [6,7,9,5,3] ; [5,6,7,9,3] ; [3,5,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 140+368 | d2:0+8+0=8→w8,c0 ; d1:4+6+0=10→w0,c1 ; d0:1+3+1=5→w5,c0 ; sum=508 |
base_conversion | base_conversion:via-binary | n=5,base=4 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; OUT:11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 162+547 | p100:100+500=600 ; p10:60+40=100 ; p1:2+7=9 ; sum=600+100+9=709 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
base_conversion | base_conversion:decomposition | n=184,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10111000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 1, 7, 4 | [5,6,1,7,4] ; [5,1,6,7,4] ; [5,1,6,4,7] ; [1,5,6,4,7] ; [1,5,4,6,7] ; [1,4,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 462+176 | p100:400+100=500 ; p10:60+70=130 ; p1:2+6=8 ; sum=500+130+8=638 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=20 | 4x-16=20 ; 4x=36 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,2) | D:(3,0) ; R:(3,1) ; R:(3,2) |
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) |
list_summation | list_summation:left-to-right | 0, 0, 5, 9 | 0+0=0 ; 0+5=5 ; 5+9=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=12 | 4x+32=12 ; x+8=3 ; x=3-8 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 5, 5, 9, 6 | 5+5=10 ; 10+9=19 ; 19+6=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-56 | 7x-49=-56 ; 7x=-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 7, 3, 9 | [0,4,7,3,9] ; [0,4,3,7,9] ; [0,3,4,7,9] |
list_summation | list_summation:left-to-right | 7, 6, 6, 9 | 7+6=13 ; 13+6=19 ; 19+9=28 |
base_conversion | base_conversion:via-binary | n=22,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:6 ; OUT:26 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 7, 2, 4 | [2,9,7,5,4] ; [2,4,7,5,9] ; [2,4,5,7,9] ; [2,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=167,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:247 |
multidigit_addition | multidigit_addition:left-to-right-partials | 422+275 | p100:400+200=600 ; p10:20+70=90 ; p1:2+5=7 ; sum=600+90+7=697 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 3, 1, 9 | [6,7,3,1,9] ; [3,6,7,1,9] ; [1,3,6,7,9] ; [1,3,6,7,9] |
list_summation | list_summation:pairwise | 8, 8, 3, 0 | 8+8=16 ; 3+0=3 ; 16+3=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 0, 6, 8 | [0,9,5,6,8] ; [0,5,9,6,8] ; [0,5,6,9,8] ; [0,5,6,8,9] |
list_summation | list_summation:left-to-right | 8, 9, 5, 5 | 8+9=17 ; 17+5=22 ; 22+5=27 |
list_summation | list_summation:left-to-right | 4, 6, 8, 4 | 4+6=10 ; 10+8=18 ; 18+4=22 |
list_summation | list_summation:right-to-left | 7, 6, 9, 8 | 9+8=17 ; 6+17=23 ; 7+23=30 |
base_conversion | base_conversion:via-binary | n=201,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11001001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 5, 6, 4, 2 | 5+6=11 ; 11+4=15 ; 15+2=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=6 | 6x-30=6 ; 6x=36 ; x=6 |
base_conversion | base_conversion:via-binary | n=24,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:120 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=-20 | 5x+15=-20 ; x=(-20-15)/5 ; x=-35/5 ; x=-7 |
base_conversion | base_conversion:via-binary | n=3,base=4 | BINLEN:2 ; CHUNK:0:3 ; OUT:3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 448+873 | d2:8+3+0=11→w1,c1 ; d1:4+7+1=12→w2,c1 ; d0:4+8+1=13→w3,c1 ; sum=1321 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 8, 7, 9 | [3,9,8,7,5] ; [9,3,8,7,5] ; [9,7,8,3,5] ; [5,7,8,3,9] ; [8,7,5,3,9] ; [3,7,5,8,9] ; [7,3,5,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-72 | 8x-72=-72 ; x=(-72--72)/8 ; x=0/8 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-5 | 5x-5=-5 ; x=(-5--5)/5 ; x=0/5 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 0, 4, 1 | [2,8,0,4,1] ; [0,2,8,4,1] ; [0,2,4,8,1] ; [0,1,2,4,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 119+363 | round:120+363=483 ; adjust:483-1=482 ; sum=482 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 3, 2, 2, 9 | 3+2=5 ; 2+9=11 ; 5+11=16 |
base_conversion | base_conversion:decomposition | n=108,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:4*8^0=4 ; OUT:154 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=8 | 8x-64=8 ; x=(8--64)/8 ; x=72/8 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 7, 1, 8 | [0,4,7,1,8] ; [0,4,1,7,8] ; [0,1,4,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 6, 3, 2 | [1,4,3,6,2] ; [1,4,3,2,6] ; [1,3,4,2,6] ; [1,3,2,4,6] ; [1,2,3,4,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-72 | 9x-81=-72 ; 9x=9 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 0, 1, 3 | [2,7,0,1,3] ; [0,2,7,1,3] ; [0,1,2,7,3] ; [0,1,2,3,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=12 | 4x+8=12 ; x=(12-8)/4 ; x=4/4 ; x=1 |
list_summation | list_summation:pairwise | 9, 7, 9, 4 | 9+7=16 ; 9+4=13 ; 16+13=29 |
base_conversion | base_conversion:repeated-division | n=5,base=2 | DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101 |
list_summation | list_summation:pairwise | 6, 0, 7, 4 | 6+0=6 ; 7+4=11 ; 6+11=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; D:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 423+320 | p100:400+300=700 ; p10:20+20=40 ; p1:3+0=3 ; sum=700+40+3=743 |
base_conversion | base_conversion:decomposition | n=21,base=16 | TERM:1*16^1=16 ; TERM:5*16^0=5 ; OUT:15 |
list_summation | list_summation:right-to-left | 5, 0, 9, 7 | 9+7=16 ; 0+16=16 ; 5+16=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-30 | 6x-6=-30 ; x+-1=-5 ; x=-5--1 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 6, 1, 7 | [5,8,6,1,7] ; [5,8,1,6,7] ; [1,5,6,8,7] ; [1,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:decomposition | n=207,base=16 | TERM:12*16^1=192 ; TERM:15*16^0=15 ; OUT:CF |
base_conversion | base_conversion:via-binary | n=204,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:4 ; OUT:314 |
list_summation | list_summation:pairwise | 1, 3, 8, 3 | 1+3=4 ; 8+3=11 ; 4+11=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 0, 1, 2 | [0,5,4,1,2] ; [0,1,4,5,2] ; [0,1,2,5,4] ; [0,1,2,4,5] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
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