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 | 3, 6, 9, 8, 7 | [3,8,9,6,7] ; [9,8,3,6,7] ; [7,8,3,6,9] ; [8,7,3,6,9] ; [6,7,3,8,9] ; [7,6,3,8,9] ; [3,6,7,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 919+406 | round:920+406=1326 ; adjust:1326-1=1325 ; sum=1325 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 2, 3, 7 | [1,4,2,3,7] ; [1,2,4,3,7] ; [1,2,3,4,7] ; [1,2,3,4,7] |
base_conversion | base_conversion:repeated-division | n=56,base=16 | DIV:56/16=3,r:8 ; DIV:3/16=0,r:3 ; OUT:38 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=0 | 5x+10=0 ; x+2=0 ; x=0-2 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=-12 | 3x+9=-12 ; x=(-12-9)/3 ; x=-21/3 ; x=-7 |
list_summation | list_summation:right-to-left | 8, 1, 1, 6 | 1+6=7 ; 1+7=8 ; 8+8=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-30 | 2x-18=-30 ; 2x=-12 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 9, 3, 2 | [6,8,9,3,2] ; [6,8,3,9,2] ; [6,8,3,2,9] ; [6,3,8,2,9] ; [6,3,2,8,9] ; [3,6,2,8,9] ; [3,2,6,8,9] ; [2,3,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=36 | 3x+24=36 ; x+8=12 ; x=12-8 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 793+512 | p100:700+500=1200 ; p10:90+10=100 ; p1:3+2=5 ; sum=1200+100+5=1305 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 4, 0, 3 | [1,4,8,0,3] ; [1,4,0,8,3] ; [1,4,0,3,8] ; [1,0,4,3,8] ; [1,0,3,4,8] ; [0,1,3,4,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 6, 1, 4 | [3,9,6,1,4] ; [3,6,9,1,4] ; [1,3,6,9,4] ; [1,3,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 149+930 | p100:100+900=1000 ; p10:40+30=70 ; p1:9+0=9 ; sum=1000+70+9=1079 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-10 | 2x-12=-10 ; x+-6=-5 ; x=-5--6 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 3, 6, 4 | [1,2,3,6,4] ; [1,2,3,6,4] ; [1,2,3,6,4] ; [1,2,3,4,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 0, 1, 8 | [5,9,0,1,8] ; [5,0,9,1,8] ; [5,0,1,9,8] ; [5,0,1,8,9] ; [0,5,1,8,9] ; [0,1,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 582+604 | d2:2+4+0=6→w6,c0 ; d1:8+0+0=8→w8,c0 ; d0:5+6+0=11→w1,c1 ; sum=1186 |
base_conversion | base_conversion:decomposition | n=28,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,2) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:via-binary | n=44,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:12 ; OUT:2C |
multidigit_addition | multidigit_addition:rounding-decomposition | 866+106 | round:870+106=976 ; adjust:976-4=972 ; sum=972 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 6, 7, 0, 3 | 0+3=3 ; 7+3=10 ; 6+10=16 |
base_conversion | base_conversion:via-binary | n=132,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10000100 |
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:right-to-left | 0, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 0+17=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 680+252 | d2:0+2+0=2→w2,c0 ; d1:8+5+0=13→w3,c1 ; d0:6+2+1=9→w9,c0 ; sum=932 |
base_conversion | base_conversion:decomposition | n=189,base=16 | TERM:11*16^1=176 ; TERM:13*16^0=13 ; OUT:BD |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 7, 9, 5 | [0,8,7,9,5] ; [0,7,8,9,5] ; [0,5,7,8,9] |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 589+310 | d2:9+0+0=9→w9,c0 ; d1:8+1+0=9→w9,c0 ; d0:5+3+0=8→w8,c0 ; sum=899 |
list_summation | list_summation:pairwise | 8, 6, 3, 7 | 8+6=14 ; 3+7=10 ; 14+10=24 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 4, 7, 6 | [8,7,4,0,6] ; [6,7,4,0,8] ; [7,6,4,0,8] ; [0,6,4,7,8] ; [6,0,4,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 2, 7, 6 | [4,5,2,7,6] ; [2,4,5,7,6] ; [2,4,5,7,6] ; [2,4,5,6,7] |
base_conversion | base_conversion:decomposition | n=90,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1122 |
base_conversion | base_conversion:decomposition | n=85,base=16 | TERM:5*16^1=80 ; TERM:5*16^0=5 ; OUT:55 |
multidigit_addition | multidigit_addition:right-to-left-carry | 287+202 | d2:7+2+0=9→w9,c0 ; d1:8+0+0=8→w8,c0 ; d0:2+2+0=4→w4,c0 ; sum=489 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=55 | 5x+40=55 ; x=(55-40)/5 ; x=15/5 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 4, 9, 7 | [0,8,4,9,7] ; [0,4,8,9,7] ; [0,4,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 533+837 | d2:3+7+0=10→w0,c1 ; d1:3+3+1=7→w7,c0 ; d0:5+8+0=13→w3,c1 ; sum=1370 |
base_conversion | base_conversion:decomposition | n=87,base=16 | TERM:5*16^1=80 ; TERM:7*16^0=7 ; OUT:57 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 2, 1, 9 | [1,7,2,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 392+112 | d2:2+2+0=4→w4,c0 ; d1:9+1+0=10→w0,c1 ; d0:3+1+1=5→w5,c0 ; sum=504 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-56 | 7x-49=-56 ; x=(-56--49)/7 ; x=-7/7 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=215,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11010111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=-60 | 6x-6=-60 ; x=(-60--6)/6 ; x=-54/6 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=54 | 9x+18=54 ; 9x=36 ; x=4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 9, 1, 6 | [4,7,9,1,6] ; [4,7,1,9,6] ; [4,7,1,6,9] ; [4,1,7,6,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
list_summation | list_summation:right-to-left | 6, 0, 6, 0 | 6+0=6 ; 0+6=6 ; 6+6=12 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 5, 0, 3 | [2,9,5,0,3] ; [2,9,0,5,3] ; [0,2,5,9,3] ; [0,2,3,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 7, 2, 6 | [0,8,7,2,6] ; [0,7,8,2,6] ; [0,2,7,8,6] ; [0,2,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 898+387 | d2:8+7+0=15→w5,c1 ; d1:9+8+1=18→w8,c1 ; d0:8+3+1=12→w2,c1 ; sum=1285 |
list_summation | list_summation:right-to-left | 5, 4, 0, 5 | 0+5=5 ; 4+5=9 ; 5+9=14 |
multidigit_addition | multidigit_addition:left-to-right-partials | 914+365 | p100:900+300=1200 ; p10:10+60=70 ; p1:4+5=9 ; sum=1200+70+9=1279 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=250,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:2 ; OUT:372 |
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:down-first | grid=6 ; S=(1,0) ; G=(5,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 218+939 | p100:200+900=1100 ; p10:10+30=40 ; p1:8+9=17 ; sum=1100+40+17=1157 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-40 | 4x-20=-40 ; x+-5=-10 ; x=-10--5 ; x=-5 |
base_conversion | base_conversion:decomposition | n=58,base=16 | TERM:3*16^1=48 ; TERM:10*16^0=10 ; OUT:3A |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 0, 8, 6 | [0,3,1,8,6] ; [0,1,3,8,6] ; [0,1,3,8,6] ; [0,1,3,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-8=-8 | 4x-8=-8 ; x=(-8--8)/4 ; x=0/4 ; x=0 |
base_conversion | base_conversion:repeated-division | n=80,base=16 | DIV:80/16=5,r:0 ; DIV:5/16=0,r:5 ; OUT:50 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=6 | 6x+54=6 ; x+9=1 ; x=1-9 ; x=-8 |
list_summation | list_summation:right-to-left | 1, 4, 7, 5 | 7+5=12 ; 4+12=16 ; 1+16=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 804+453 | p100:800+400=1200 ; p10:0+50=50 ; p1:4+3=7 ; sum=1200+50+7=1257 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=2 | 2x-8=2 ; x+-4=1 ; x=1--4 ; x=5 |
list_summation | list_summation:right-to-left | 3, 8, 9, 6 | 9+6=15 ; 8+15=23 ; 3+23=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+54=90 | 6x+54=90 ; 6x=36 ; x=6 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 9, 5, 1 | [0,5,9,4,1] ; [9,5,0,4,1] ; [1,5,0,4,9] ; [5,1,0,4,9] ; [5,4,0,1,9] ; [1,4,0,5,9] ; [4,1,0,5,9] ; [0,1,4,5,9] ; [1,0,4,5,9] ; [0,1,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 614+166 | p100:600+100=700 ; p10:10+60=70 ; p1:4+6=10 ; sum=700+70+10=780 |
base_conversion | base_conversion:via-binary | n=216,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:8 ; OUT:D8 |
list_summation | list_summation:right-to-left | 1, 9, 6, 8 | 6+8=14 ; 9+14=23 ; 1+23=24 |
base_conversion | base_conversion:via-binary | n=130,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10000010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-14 | 2x-14=-14 ; x=(-14--14)/2 ; x=0/2 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 340+319 | p100:300+300=600 ; p10:40+10=50 ; p1:0+9=9 ; sum=600+50+9=659 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 413+332 | p100:400+300=700 ; p10:10+30=40 ; p1:3+2=5 ; sum=700+40+5=745 |
multidigit_addition | multidigit_addition:right-to-left-carry | 793+306 | d2:3+6+0=9→w9,c0 ; d1:9+0+0=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1099 |
base_conversion | base_conversion:repeated-division | n=219,base=8 | DIV:219/8=27,r:3 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:333 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 7, 2, 5 | [3,8,2,7,5] ; [2,3,7,8,5] ; [2,3,5,7,8] |
list_summation | list_summation:left-to-right | 6, 0, 5, 2 | 6+0=6 ; 6+5=11 ; 11+2=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=-9 | 9x+45=-9 ; 9x=-54 ; x=-6 |
base_conversion | base_conversion:decomposition | n=7,base=2 | TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=-27 | 9x+27=-27 ; 9x=-54 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=15 | 3x+0=15 ; 3x=15 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 6, 2, 5 | [1,8,2,6,5] ; [1,2,6,8,5] ; [1,2,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=30 | 3x+6=30 ; 3x=24 ; x=8 |
base_conversion | base_conversion:decomposition | n=166,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10100110 |
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