task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 9, 8, 1 | [6,8,9,2,1] ; [9,8,6,2,1] ; [1,8,6,2,9] ; [8,1,6,2,9] ; [8,2,6,1,9] ; [1,2,6,8,9] ; [6,2,1,8,9] ; [1,2,6,8,9] ; [2,1,6,8,9] ; [1,2,6,8,9] |
base_conversion | base_conversion:repeated-division | n=136,base=4 | DIV:136/4=34,r:0 ; DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2020 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=77 | 7x+49=77 ; 7x=28 ; x=4 |
base_conversion | base_conversion:repeated-division | n=228,base=4 | DIV:228/4=57,r:0 ; DIV:57/4=14,r:1 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3210 |
base_conversion | base_conversion:decomposition | n=200,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11001000 |
list_summation | list_summation:left-to-right | 8, 5, 9, 2 | 8+5=13 ; 13+9=22 ; 22+2=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 3, 1, 6 | [2,8,3,1,6] ; [2,3,8,1,6] ; [2,3,1,8,6] ; [2,3,1,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
base_conversion | base_conversion:decomposition | n=191,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:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,4) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 7, 4, 5 | [8,9,7,4,5] ; [7,8,9,4,5] ; [4,7,8,9,5] ; [4,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=32 | 2x+16=32 ; 2x=16 ; x=8 |
base_conversion | base_conversion:decomposition | n=219,base=16 | TERM:13*16^1=208 ; TERM:11*16^0=11 ; OUT:DB |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 0, 8, 6 | [3,4,0,8,6] ; [0,3,4,8,6] ; [0,3,4,8,6] ; [0,3,4,6,8] |
list_summation | list_summation:pairwise | 1, 2, 9, 4 | 1+2=3 ; 9+4=13 ; 3+13=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 560+283 | p100:500+200=700 ; p10:60+80=140 ; p1:0+3=3 ; sum=700+140+3=843 |
base_conversion | base_conversion:via-binary | n=242,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:2 ; OUT:F2 |
list_summation | list_summation:left-to-right | 2, 2, 5, 3 | 2+2=4 ; 4+5=9 ; 9+3=12 |
base_conversion | base_conversion:decomposition | n=54,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:110110 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
base_conversion | base_conversion:decomposition | n=168,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:2220 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=27 | 3x+15=27 ; x=(27-15)/3 ; x=12/3 ; x=4 |
base_conversion | base_conversion:decomposition | n=215,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11010111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 265+964 | p100:200+900=1100 ; p10:60+60=120 ; p1:5+4=9 ; sum=1100+120+9=1229 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 347+510 | d2:7+0+0=7→w7,c0 ; d1:4+1+0=5→w5,c0 ; d0:3+5+0=8→w8,c0 ; sum=857 |
base_conversion | base_conversion:via-binary | n=43,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:3 ; OUT:53 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 2, 4, 5 | [6,2,7,4,5] ; [6,2,4,7,5] ; [6,2,4,5,7] ; [2,6,4,5,7] ; [2,4,6,5,7] ; [2,4,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 673+755 | p100:600+700=1300 ; p10:70+50=120 ; p1:3+5=8 ; sum=1300+120+8=1428 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 6, 4, 0 | [2,8,4,6,0] ; [2,4,6,8,0] ; [0,2,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 783+846 | round:790+846=1636 ; adjust:1636-7=1629 ; sum=1629 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 0, 8, 9 | [5,9,0,8,3] ; [9,5,0,8,3] ; [9,8,0,5,3] ; [3,8,0,5,9] ; [8,3,0,5,9] ; [8,5,0,3,9] ; [3,5,0,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 3, 8, 7, 5 | [2,3,7,8,5] ; [2,3,7,5,8] ; [2,3,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=6 | 3x-12=6 ; x=(6--12)/3 ; x=18/3 ; x=6 |
base_conversion | base_conversion:decomposition | n=40,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000 |
list_summation | list_summation:left-to-right | 7, 7, 0, 6 | 7+7=14 ; 14+0=14 ; 14+6=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 953+136 | d2:3+6+0=9→w9,c0 ; d1:5+3+0=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1089 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=6 | 2x+8=6 ; x=(6-8)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=181,base=2 | DIV:181/2=90,r:1 ; DIV:90/2=45,r:0 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110101 |
base_conversion | base_conversion:via-binary | n=220,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130 |
multidigit_addition | multidigit_addition:right-to-left-carry | 870+869 | d2:0+9+0=9→w9,c0 ; d1:7+6+0=13→w3,c1 ; d0:8+8+1=17→w7,c1 ; sum=1739 |
base_conversion | base_conversion:via-binary | n=110,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:14 ; OUT:6E |
base_conversion | base_conversion:decomposition | n=46,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:101110 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 0, 5, 2 | [8,9,0,5,2] ; [0,5,8,9,2] ; [0,2,5,8,9] |
base_conversion | base_conversion:repeated-division | n=19,base=2 | DIV:19/2=9,r:1 ; 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:10011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 911+311 | d2:1+1+0=2→w2,c0 ; d1:1+1+0=2→w2,c0 ; d0:9+3+0=12→w2,c1 ; sum=1222 |
list_summation | list_summation:left-to-right | 1, 2, 6, 0 | 1+2=3 ; 3+6=9 ; 9+0=9 |
list_summation | list_summation:left-to-right | 5, 3, 7, 0 | 5+3=8 ; 8+7=15 ; 15+0=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 953+952 | d2:3+2+0=5→w5,c0 ; d1:5+5+0=10→w0,c1 ; d0:9+9+1=19→w9,c1 ; sum=1905 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 3, 1, 8 | [0,7,3,1,8] ; [0,7,1,3,8] ; [0,1,3,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 393+131 | d2:3+1+0=4→w4,c0 ; d1:9+3+0=12→w2,c1 ; d0:3+1+1=5→w5,c0 ; sum=524 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-50 | 5x-40=-50 ; x+-8=-10 ; x=-10--8 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 397+517 | d2:7+7+0=14→w4,c1 ; d1:9+1+1=11→w1,c1 ; d0:3+5+1=9→w9,c0 ; sum=914 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=126 | 9x+45=126 ; 9x=81 ; x=9 |
list_summation | list_summation:pairwise | 5, 9, 5, 0 | 5+9=14 ; 5+0=5 ; 14+5=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 0, 5, 6 | [1,7,0,5,6] ; [1,0,7,5,6] ; [1,0,5,7,6] ; [1,0,5,6,7] ; [0,1,5,6,7] |
list_summation | list_summation:left-to-right | 0, 4, 7, 2 | 0+4=4 ; 4+7=11 ; 11+2=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 591+112 | p100:500+100=600 ; p10:90+10=100 ; p1:1+2=3 ; sum=600+100+3=703 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 9, 6, 7, 0 | [9,1,6,7,0] ; [9,7,6,1,0] ; [0,7,6,1,9] ; [7,0,6,1,9] ; [7,1,6,0,9] ; [0,1,6,7,9] ; [6,1,0,7,9] ; [0,1,6,7,9] ; [1,0,6,7,9] ; [0,1,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 4, 2, 6, 7 | [2,4,5,6,7] ; [2,4,5,6,7] ; [2,4,5,6,7] ; [2,4,5,6,7] |
list_summation | list_summation:pairwise | 1, 7, 1, 3 | 1+7=8 ; 1+3=4 ; 8+4=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=0 | 9x+63=0 ; x+7=0 ; x=0-7 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 2, 5, 4 | [0,9,2,5,4] ; [0,2,9,5,4] ; [0,2,5,9,4] ; [0,2,4,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 1, 4, 8 | [3,7,1,4,8] ; [1,3,7,4,8] ; [1,3,4,7,8] ; [1,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=165,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:2211 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=48 | 4x+12=48 ; x=(48-12)/4 ; x=36/4 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=18 | 6x-36=18 ; 6x=54 ; x=9 |
base_conversion | base_conversion:repeated-division | n=75,base=8 | DIV:75/8=9,r:3 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:113 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=44 | 4x+8=44 ; 4x=36 ; x=9 |
list_summation | list_summation:pairwise | 3, 2, 9, 8 | 3+2=5 ; 9+8=17 ; 5+17=22 |
base_conversion | base_conversion:repeated-division | n=56,base=2 | DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111000 |
base_conversion | base_conversion:repeated-division | n=141,base=8 | DIV:141/8=17,r:5 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:215 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-70 | 5x-30=-70 ; 5x=-40 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 2, 3, 9 | [0,7,2,3,9] ; [0,2,7,3,9] ; [0,2,3,7,9] |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 283+332 | p100:200+300=500 ; p10:80+30=110 ; p1:3+2=5 ; sum=500+110+5=615 |
base_conversion | base_conversion:via-binary | n=186,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111010 |
base_conversion | base_conversion:decomposition | n=88,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:1011000 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 2, 9, 6 | [0,8,2,9,6] ; [0,2,8,9,6] ; [0,2,6,8,9] |
list_summation | list_summation:right-to-left | 4, 3, 7, 3 | 7+3=10 ; 3+10=13 ; 4+13=17 |
list_summation | list_summation:left-to-right | 0, 6, 0, 7 | 0+6=6 ; 6+0=6 ; 6+7=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 5, 4, 2 | [7,9,5,4,2] ; [7,9,4,5,2] ; [4,5,7,9,2] ; [2,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-6 | 3x-27=-6 ; x+-9=-2 ; x=-2--9 ; x=7 |
list_summation | list_summation:right-to-left | 9, 2, 4, 2 | 4+2=6 ; 2+6=8 ; 9+8=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 845+528 | p100:800+500=1300 ; p10:40+20=60 ; p1:5+8=13 ; sum=1300+60+13=1373 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 697+707 | d2:7+7+0=14→w4,c1 ; d1:9+0+1=10→w0,c1 ; d0:6+7+1=14→w4,c1 ; sum=1404 |
list_summation | list_summation:pairwise | 6, 1, 2, 1 | 6+1=7 ; 2+1=3 ; 7+3=10 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 2, 9, 6 | [3,7,2,9,6] ; [2,3,7,9,6] ; [2,3,6,7,9] |
base_conversion | base_conversion:repeated-division | n=206,base=4 | DIV:206/4=51,r:2 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3032 |
multidigit_addition | multidigit_addition:rounding-decomposition | 292+546 | round:300+546=846 ; adjust:846-8=838 ; sum=838 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 0, 4, 3 | [0,1,5,4,3] ; [0,1,5,4,3] ; [0,1,3,4,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:via-binary | n=131,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:3 ; OUT:83 |
list_summation | list_summation:right-to-left | 2, 5, 8, 7 | 8+7=15 ; 5+15=20 ; 2+20=22 |
base_conversion | base_conversion:repeated-division | n=77,base=8 | DIV:77/8=9,r:5 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:115 |
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