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=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 2, 3, 9, 0 | 9+0=9 ; 3+9=12 ; 2+12=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-30 | 5x-10=-30 ; x+-2=-6 ; x=-6--2 ; x=-4 |
base_conversion | base_conversion:decomposition | n=60,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:330 |
list_summation | list_summation:left-to-right | 7, 6, 8, 4 | 7+6=13 ; 13+8=21 ; 21+4=25 |
base_conversion | base_conversion:via-binary | n=117,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:5 ; OUT:165 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=-24 | 6x-6=-24 ; 6x=-18 ; x=-3 |
list_summation | list_summation:right-to-left | 1, 2, 3, 8 | 3+8=11 ; 2+11=13 ; 1+13=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+555 | d2:3+5+0=8→w8,c0 ; d1:0+5+0=5→w5,c0 ; d0:7+5+0=12→w2,c1 ; sum=1258 |
base_conversion | base_conversion:repeated-division | n=172,base=2 | DIV:172/2=86,r:0 ; DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; 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:10101100 |
list_summation | list_summation:right-to-left | 9, 9, 0, 8 | 0+8=8 ; 9+8=17 ; 9+17=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=-35 | 5x+10=-35 ; x+2=-7 ; x=-7-2 ; x=-9 |
list_summation | list_summation:right-to-left | 6, 2, 3, 5 | 3+5=8 ; 2+8=10 ; 6+10=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 6, 1, 2 | [1,5,6,7,2] ; [1,2,6,7,5] ; [1,2,5,7,6] ; [1,2,5,6,7] |
base_conversion | base_conversion:repeated-division | n=252,base=2 | DIV:252/2=126,r:0 ; DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; DIV:31/2=15,r:1 ; 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:11111100 |
multidigit_addition | multidigit_addition:right-to-left-carry | 762+747 | d2:2+7+0=9→w9,c0 ; d1:6+4+0=10→w0,c1 ; d0:7+7+1=15→w5,c1 ; sum=1509 |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 2, 8, 9 | [0,4,2,8,9] ; [0,2,4,8,9] ; [0,2,4,8,9] ; [0,2,4,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 397+769 | round:400+769=1169 ; adjust:1169-3=1166 ; sum=1166 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 1, 4, 4, 0 | 4+0=4 ; 4+4=8 ; 1+8=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-35 | 7x-21=-35 ; x+-3=-5 ; x=-5--3 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 525+101 | round:530+101=631 ; adjust:631-5=626 ; sum=626 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-8=-80 | 8x-8=-80 ; 8x=-72 ; x=-9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 0, 3, 1 | [2,8,0,3,1] ; [0,2,8,3,1] ; [0,2,3,8,1] ; [0,1,2,3,8] |
list_summation | list_summation:pairwise | 1, 5, 6, 6 | 1+5=6 ; 6+6=12 ; 6+12=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 5, 6, 1 | [2,7,5,6,1] ; [2,5,6,7,1] ; [1,2,5,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 0, 3, 6 | [0,1,3,7,6] ; [0,1,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 196+747 | d2:6+7+0=13→w3,c1 ; d1:9+4+1=14→w4,c1 ; d0:1+7+1=9→w9,c0 ; sum=943 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=18 | 3x+9=18 ; x+3=6 ; x=6-3 ; x=3 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-81 | 9x-81=-81 ; x=(-81--81)/9 ; x=0/9 ; x=0 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 2, 8, 0 | [2,5,6,8,0] ; [0,2,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 7, 9, 8, 9 | 7+9=16 ; 16+8=24 ; 24+9=33 |
list_summation | list_summation:pairwise | 2, 3, 8, 7 | 2+3=5 ; 8+7=15 ; 5+15=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 367+431 | p100:300+400=700 ; p10:60+30=90 ; p1:7+1=8 ; sum=700+90+8=798 |
list_summation | list_summation:pairwise | 4, 7, 5, 7 | 4+7=11 ; 5+7=12 ; 11+12=23 |
base_conversion | base_conversion:via-binary | n=81,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=16 | 8x+8=16 ; 8x=8 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=20 | 4x+4=20 ; x+1=5 ; x=5-1 ; x=4 |
base_conversion | base_conversion:repeated-division | n=136,base=8 | DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 4, 7, 3 | [0,4,6,7,3] ; [0,4,6,3,7] ; [0,4,3,6,7] ; [0,3,4,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 883+573 | round:890+573=1463 ; adjust:1463-7=1456 ; sum=1456 |
list_summation | list_summation:pairwise | 5, 5, 6, 1 | 5+5=10 ; 6+1=7 ; 10+7=17 |
base_conversion | base_conversion:decomposition | n=148,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2110 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 9, 6, 2 | [3,6,9,4,2] ; [9,6,3,4,2] ; [2,6,3,4,9] ; [6,2,3,4,9] ; [6,4,3,2,9] ; [2,4,3,6,9] ; [4,2,3,6,9] ; [3,2,4,6,9] ; [2,3,4,6,9] |
list_summation | list_summation:right-to-left | 2, 3, 6, 1 | 6+1=7 ; 3+7=10 ; 2+10=12 |
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=60,base=16 | TERM:3*16^1=48 ; TERM:12*16^0=12 ; OUT:3C |
list_summation | list_summation:right-to-left | 2, 1, 0, 0 | 0+0=0 ; 1+0=1 ; 2+1=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 643+393 | round:650+393=1043 ; adjust:1043-7=1036 ; sum=1036 |
multidigit_addition | multidigit_addition:right-to-left-carry | 969+994 | d2:9+4+0=13→w3,c1 ; d1:6+9+1=16→w6,c1 ; d0:9+9+1=19→w9,c1 ; sum=1963 |
base_conversion | base_conversion:decomposition | n=218,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:332 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 1, 6, 9 | [1,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=0 | 5x+0=0 ; 5x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=113,base=4 | DIV:113/4=28,r:1 ; DIV:28/4=7,r:0 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1301 |
base_conversion | base_conversion:decomposition | n=176,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10110000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=48 | 6x+54=48 ; x=(48-54)/6 ; x=-6/6 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=21,base=8 | DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:25 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 4, 3, 8 | [2,8,4,3,1] ; [8,2,4,3,1] ; [8,3,4,2,1] ; [1,3,4,2,8] ; [4,3,1,2,8] ; [2,3,1,4,8] ; [3,2,1,4,8] ; [1,2,3,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 981+727 | d2:1+7+0=8→w8,c0 ; d1:8+2+0=10→w0,c1 ; d0:9+7+1=17→w7,c1 ; sum=1708 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-15 | 5x-20=-15 ; x+-4=-3 ; x=-3--4 ; x=1 |
base_conversion | base_conversion:decomposition | n=186,base=16 | TERM:11*16^1=176 ; TERM:10*16^0=10 ; OUT:BA |
list_summation | list_summation:right-to-left | 9, 8, 8, 2 | 8+2=10 ; 8+10=18 ; 9+18=27 |
multidigit_addition | multidigit_addition:left-to-right-partials | 254+652 | p100:200+600=800 ; p10:50+50=100 ; p1:4+2=6 ; sum=800+100+6=906 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=7 | 7x+7=7 ; 7x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 3, 4, 6 | [0,8,3,4,6] ; [0,3,8,4,6] ; [0,3,4,8,6] ; [0,3,4,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=6 | 3x+24=6 ; 3x=-18 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 156+849 | round:160+849=1009 ; adjust:1009-4=1005 ; sum=1005 |
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) |
base_conversion | base_conversion:via-binary | n=80,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1100 |
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) |
base_conversion | base_conversion:via-binary | n=251,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:3 ; OUT:373 |
list_summation | list_summation:left-to-right | 3, 6, 1, 5 | 3+6=9 ; 9+1=10 ; 10+5=15 |
list_summation | list_summation:right-to-left | 9, 6, 6, 2 | 6+2=8 ; 6+8=14 ; 9+14=23 |
base_conversion | base_conversion:via-binary | n=227,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100011 |
list_summation | list_summation:left-to-right | 9, 9, 3, 7 | 9+9=18 ; 18+3=21 ; 21+7=28 |
multidigit_addition | multidigit_addition:rounding-decomposition | 592+548 | round:600+548=1148 ; adjust:1148-8=1140 ; sum=1140 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 8, 9, 4 | [1,9,8,6,4] ; [9,1,8,6,4] ; [9,6,8,1,4] ; [4,6,8,1,9] ; [8,6,4,1,9] ; [1,6,4,8,9] ; [6,1,4,8,9] ; [4,1,6,8,9] ; [1,4,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-27=-45 | 9x-27=-45 ; 9x=-18 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=25 | 5x-5=25 ; x=(25--5)/5 ; x=30/5 ; x=6 |
list_summation | list_summation:pairwise | 2, 0, 1, 3 | 2+0=2 ; 1+3=4 ; 2+4=6 |
list_summation | list_summation:left-to-right | 2, 7, 4, 3 | 2+7=9 ; 9+4=13 ; 13+3=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 664+876 | d2:4+6+0=10→w0,c1 ; d1:6+7+1=14→w4,c1 ; d0:6+8+1=15→w5,c1 ; sum=1540 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=0 | 5x-10=0 ; 5x=10 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 4, 6, 5 | [3,6,4,0,5] ; [6,3,4,0,5] ; [6,5,4,0,3] ; [3,5,4,0,6] ; [5,3,4,0,6] ; [0,3,4,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
list_summation | list_summation:pairwise | 2, 4, 9, 2 | 2+4=6 ; 9+2=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 9, 7, 8 | [1,5,9,7,8] ; [1,5,9,7,8] ; [1,5,7,9,8] ; [1,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-42 | 3x-15=-42 ; 3x=-27 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=36 | 9x+81=36 ; x=(36-81)/9 ; x=-45/9 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 5, 2, 4, 3 | [0,2,4,5,3] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-42 | 3x-27=-42 ; x+-9=-14 ; x=-14--9 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=74,base=2 | DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1001010 |
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