task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
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) |
base_conversion | base_conversion:decomposition | n=17,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-8 | 2x-14=-8 ; 2x=6 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-28 | 7x-56=-28 ; x=(-28--56)/7 ; x=28/7 ; x=4 |
list_summation | list_summation:right-to-left | 1, 0, 5, 4 | 5+4=9 ; 0+9=9 ; 1+9=10 |
base_conversion | base_conversion:repeated-division | n=128,base=4 | DIV:128/4=32,r:0 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 811+430 | d2:1+0+0=1→w1,c0 ; d1:1+3+0=4→w4,c0 ; d0:8+4+0=12→w2,c1 ; sum=1241 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 450+983 | d2:0+3+0=3→w3,c0 ; d1:5+8+0=13→w3,c1 ; d0:4+9+1=14→w4,c1 ; sum=1433 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 7, 5, 8 | [4,8,7,5,1] ; [8,4,7,5,1] ; [8,5,7,4,1] ; [1,5,7,4,8] ; [7,5,1,4,8] ; [4,5,1,7,8] ; [5,4,1,7,8] ; [1,4,5,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 8, 3, 4 | [8,5,1,3,4] ; [4,5,1,3,8] ; [5,4,1,3,8] ; [3,4,1,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 591+677 | d2:1+7+0=8→w8,c0 ; d1:9+7+0=16→w6,c1 ; d0:5+6+1=12→w2,c1 ; sum=1268 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 3, 0, 4 | [2,4,3,0,1] ; [4,2,3,0,1] ; [1,2,3,0,4] ; [3,2,1,0,4] ; [0,2,1,3,4] ; [2,0,1,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
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) |
list_summation | list_summation:right-to-left | 5, 2, 3, 4 | 3+4=7 ; 2+7=9 ; 5+9=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:repeated-division | n=208,base=4 | DIV:208/4=52,r:0 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:decomposition | n=29,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:131 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 9, 3, 2 | [4,7,9,3,2] ; [4,7,3,9,2] ; [4,7,3,2,9] ; [4,3,7,2,9] ; [4,3,2,7,9] ; [3,4,2,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 226+763 | round:230+763=993 ; adjust:993-4=989 ; sum=989 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 3, 5, 6 | [0,7,3,5,6] ; [0,3,7,5,6] ; [0,3,5,7,6] ; [0,3,5,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:decomposition | n=188,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:2330 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=24 | 8x+64=24 ; x=(24-64)/8 ; x=-40/8 ; x=-5 |
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) |
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:decomposition | n=35,base=8 | TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:43 |
list_summation | list_summation:pairwise | 0, 6, 5, 1 | 0+6=6 ; 5+1=6 ; 6+6=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 939+202 | round:940+202=1142 ; adjust:1142-1=1141 ; sum=1141 |
list_summation | list_summation:left-to-right | 2, 8, 3, 0 | 2+8=10 ; 10+3=13 ; 13+0=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=228,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3210 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-28 | 4x-36=-28 ; x=(-28--36)/4 ; x=8/4 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-63 | 9x+18=-63 ; 9x=-81 ; x=-9 |
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 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,3) | D:(1,2) ; R:(1,3) |
base_conversion | base_conversion:decomposition | n=217,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3121 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 707+764 | p100:700+700=1400 ; p10:0+60=60 ; p1:7+4=11 ; sum=1400+60+11=1471 |
multidigit_addition | multidigit_addition:right-to-left-carry | 672+103 | d2:2+3+0=5→w5,c0 ; d1:7+0+0=7→w7,c0 ; d0:6+1+0=7→w7,c0 ; sum=775 |
multidigit_addition | multidigit_addition:right-to-left-carry | 947+945 | d2:7+5+0=12→w2,c1 ; d1:4+4+1=9→w9,c0 ; d0:9+9+0=18→w8,c1 ; sum=1892 |
base_conversion | base_conversion:via-binary | n=145,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 211+725 | d2:1+5+0=6→w6,c0 ; d1:1+2+0=3→w3,c0 ; d0:2+7+0=9→w9,c0 ; sum=936 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 241+920 | d2:1+0+0=1→w1,c0 ; d1:4+2+0=6→w6,c0 ; d0:2+9+0=11→w1,c1 ; sum=1161 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 1, 5, 3, 6 | [0,1,5,3,6] ; [0,1,5,3,6] ; [0,1,3,5,6] ; [0,1,3,5,6] |
list_summation | list_summation:left-to-right | 3, 5, 3, 4 | 3+5=8 ; 8+3=11 ; 11+4=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-104 | 8x-64=-104 ; 8x=-40 ; x=-5 |
list_summation | list_summation:pairwise | 0, 0, 6, 1 | 0+0=0 ; 6+1=7 ; 0+7=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 6, 7, 5, 5 | 6+7=13 ; 5+5=10 ; 13+10=23 |
base_conversion | base_conversion:repeated-division | n=149,base=4 | DIV:149/4=37,r:1 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=-8 | 4x+0=-8 ; x=(-8-0)/4 ; x=-8/4 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=-56 | 4x-28=-56 ; x=(-56--28)/4 ; x=-28/4 ; x=-7 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 5, 3, 1 | [1,4,5,3,8] ; [5,4,1,3,8] ; [3,4,1,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
base_conversion | base_conversion:decomposition | n=106,base=16 | TERM:6*16^1=96 ; TERM:10*16^0=10 ; OUT:6A |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 627+743 | p100:600+700=1300 ; p10:20+40=60 ; p1:7+3=10 ; sum=1300+60+10=1370 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=39 | 3x+27=39 ; x+9=13 ; x=13-9 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 2, 1, 3, 9 | [0,9,1,3,2] ; [9,0,1,3,2] ; [9,3,1,0,2] ; [2,3,1,0,9] ; [3,2,1,0,9] ; [0,2,1,3,9] ; [2,0,1,3,9] ; [1,0,2,3,9] ; [0,1,2,3,9] |
list_summation | list_summation:right-to-left | 9, 8, 1, 7 | 1+7=8 ; 8+8=16 ; 9+16=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=7 | 7x-28=7 ; 7x=35 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 4, 2, 9 | [0,3,2,4,9] ; [0,2,3,4,9] |
base_conversion | base_conversion:via-binary | n=81,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:1 ; OUT:51 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 968+144 | d2:8+4+0=12→w2,c1 ; d1:6+4+1=11→w1,c1 ; d0:9+1+1=11→w1,c1 ; sum=1112 |
list_summation | list_summation:pairwise | 8, 3, 0, 0 | 8+3=11 ; 0+0=0 ; 11+0=11 |
list_summation | list_summation:right-to-left | 4, 3, 0, 9 | 0+9=9 ; 3+9=12 ; 4+12=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 5, 6, 3 | [1,9,5,6,3] ; [1,5,9,6,3] ; [1,5,6,9,3] ; [1,3,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 7, 1, 9 | [0,2,7,1,9] ; [0,2,1,7,9] ; [0,1,2,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:right-to-left | 7, 7, 9, 0 | 9+0=9 ; 7+9=16 ; 7+16=23 |
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) |
list_summation | list_summation:left-to-right | 3, 9, 3, 4 | 3+9=12 ; 12+3=15 ; 15+4=19 |
list_summation | list_summation:left-to-right | 3, 0, 6, 3 | 3+0=3 ; 3+6=9 ; 9+3=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 579+413 | p100:500+400=900 ; p10:70+10=80 ; p1:9+3=12 ; sum=900+80+12=992 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=117 | 9x+54=117 ; x=(117-54)/9 ; x=63/9 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 924+632 | round:930+632=1562 ; adjust:1562-6=1556 ; sum=1556 |
base_conversion | base_conversion:decomposition | n=122,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1322 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=-3 | 3x+15=-3 ; 3x=-18 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 649+211 | d2:9+1+0=10→w0,c1 ; d1:4+1+1=6→w6,c0 ; d0:6+2+0=8→w8,c0 ; sum=860 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=8 | 8x-56=8 ; x=(8--56)/8 ; x=64/8 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-60 | 5x-20=-60 ; x+-4=-12 ; x=-12--4 ; x=-8 |
base_conversion | base_conversion:via-binary | n=65,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 9, 8, 4 | [2,7,9,8,4] ; [2,7,8,9,4] ; [2,7,8,4,9] ; [2,7,4,8,9] ; [2,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 205+577 | p100:200+500=700 ; p10:0+70=70 ; p1:5+7=12 ; sum=700+70+12=782 |
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