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=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 1, 9, 5, 9 | 1+9=10 ; 5+9=14 ; 10+14=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 182+699 | round:190+699=889 ; adjust:889-8=881 ; sum=881 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 8, 5, 7 | [2,9,8,5,7] ; [2,9,5,8,7] ; [2,5,8,9,7] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 9, 5, 6 | [0,3,5,9,6] ; [0,3,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 399+516 | round:400+516=916 ; adjust:916-1=915 ; sum=915 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 7, 3, 4 | [9,2,7,3,4] ; [9,4,7,3,2] ; [2,4,7,3,9] ; [7,4,2,3,9] ; [3,4,2,7,9] ; [4,3,2,7,9] ; [2,3,4,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9] |
base_conversion | base_conversion:repeated-division | n=16,base=2 | DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000 |
list_summation | list_summation:left-to-right | 8, 4, 8, 6 | 8+4=12 ; 12+8=20 ; 20+6=26 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 4, 0, 6 | [5,8,4,0,6] ; [4,5,8,0,6] ; [0,4,5,8,6] ; [0,4,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 2, 1, 8 | [0,3,2,1,8] ; [0,2,3,1,8] ; [0,1,2,3,8] ; [0,1,2,3,8] |
base_conversion | base_conversion:decomposition | n=116,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:164 |
multidigit_addition | multidigit_addition:left-to-right-partials | 380+449 | p100:300+400=700 ; p10:80+40=120 ; p1:0+9=9 ; sum=700+120+9=829 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-12 | 6x-42=-12 ; 6x=30 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=210,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:3102 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=14 | 7x-14=14 ; x=(14--14)/7 ; x=28/7 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=0 | 7x-35=0 ; x+-5=0 ; x=0--5 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 425+226 | round:430+226=656 ; adjust:656-5=651 ; sum=651 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 6, 4, 5 | [7,8,6,4,5] ; [7,6,8,4,5] ; [7,6,4,8,5] ; [7,6,4,5,8] ; [6,7,4,5,8] ; [6,4,7,5,8] ; [6,4,5,7,8] ; [4,6,5,7,8] ; [4,5,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 9, 0, 3 | [0,2,9,5,3] ; [0,2,9,5,3] ; [0,2,3,5,9] ; [0,2,3,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 1, 4, 9 | [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 5, 1, 3 | [3,4,5,1,7] ; [5,4,3,1,7] ; [1,4,3,5,7] ; [4,1,3,5,7] ; [3,1,4,5,7] ; [1,3,4,5,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 7, 2, 4 | [1,8,7,2,4] ; [1,7,8,2,4] ; [1,2,7,8,4] ; [1,2,4,7,8] |
list_summation | list_summation:pairwise | 7, 5, 0, 0 | 7+5=12 ; 0+0=0 ; 12+0=12 |
list_summation | list_summation:pairwise | 2, 2, 1, 8 | 2+2=4 ; 1+8=9 ; 4+9=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-91 | 7x-49=-91 ; x=(-91--49)/7 ; x=-42/7 ; x=-6 |
list_summation | list_summation:pairwise | 2, 6, 8, 9 | 2+6=8 ; 8+9=17 ; 8+17=25 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 8, 1, 3, 1 | 8+1=9 ; 3+1=4 ; 9+4=13 |
list_summation | list_summation:right-to-left | 9, 3, 9, 1 | 9+1=10 ; 3+10=13 ; 9+13=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,4) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=40 | 4x+20=40 ; x+5=10 ; x=10-5 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 401+491 | d2:1+1+0=2→w2,c0 ; d1:0+9+0=9→w9,c0 ; d0:4+4+0=8→w8,c0 ; sum=892 |
multidigit_addition | multidigit_addition:right-to-left-carry | 765+562 | d2:5+2+0=7→w7,c0 ; d1:6+6+0=12→w2,c1 ; d0:7+5+1=13→w3,c1 ; sum=1327 |
list_summation | list_summation:right-to-left | 5, 2, 2, 4 | 2+4=6 ; 2+6=8 ; 5+8=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 2, 2, 4, 6 | 2+2=4 ; 4+4=8 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-48 | 4x-32=-48 ; x+-8=-12 ; x=-12--8 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 7, 2, 3 | [8,3,7,2,0] ; [0,3,7,2,8] ; [7,3,0,2,8] ; [2,3,0,7,8] ; [3,2,0,7,8] ; [0,2,3,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 641+653 | d2:1+3+0=4→w4,c0 ; d1:4+5+0=9→w9,c0 ; d0:6+6+0=12→w2,c1 ; sum=1294 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=15 | 3x-9=15 ; x=(15--9)/3 ; x=24/3 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 150+972 | d2:0+2+0=2→w2,c0 ; d1:5+7+0=12→w2,c1 ; d0:1+9+1=11→w1,c1 ; sum=1122 |
list_summation | list_summation:right-to-left | 3, 8, 3, 0 | 3+0=3 ; 8+3=11 ; 3+11=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 759+764 | d2:9+4+0=13→w3,c1 ; d1:5+6+1=12→w2,c1 ; d0:7+7+1=15→w5,c1 ; sum=1523 |
multidigit_addition | multidigit_addition:right-to-left-carry | 542+257 | d2:2+7+0=9→w9,c0 ; d1:4+5+0=9→w9,c0 ; d0:5+2+0=7→w7,c0 ; sum=799 |
multidigit_addition | multidigit_addition:left-to-right-partials | 947+337 | p100:900+300=1200 ; p10:40+30=70 ; p1:7+7=14 ; sum=1200+70+14=1284 |
list_summation | list_summation:right-to-left | 1, 1, 5, 8 | 5+8=13 ; 1+13=14 ; 1+14=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=8 | 4x+24=8 ; 4x=-16 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
list_summation | list_summation:pairwise | 1, 9, 9, 5 | 1+9=10 ; 9+5=14 ; 10+14=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=6 | 6x-36=6 ; x=(6--36)/6 ; x=42/6 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 614+114 | p100:600+100=700 ; p10:10+10=20 ; p1:4+4=8 ; sum=700+20+8=728 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:left-to-right | 3, 6, 3, 8 | 3+6=9 ; 9+3=12 ; 12+8=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 542+310 | round:550+310=860 ; adjust:860-8=852 ; sum=852 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=63 | 9x+0=63 ; x+0=7 ; x=7-0 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 8, 0, 1 | [8,4,7,0,1] ; [1,4,7,0,8] ; [7,4,1,0,8] ; [0,4,1,7,8] ; [4,0,1,7,8] ; [1,0,4,7,8] ; [0,1,4,7,8] |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 9, 5, 1 | [2,3,9,5,1] ; [2,3,9,5,1] ; [2,3,5,9,1] ; [1,2,3,5,9] |
base_conversion | base_conversion:via-binary | n=241,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:1 ; OUT:361 |
list_summation | list_summation:pairwise | 8, 6, 3, 7 | 8+6=14 ; 3+7=10 ; 14+10=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,2) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
list_summation | list_summation:pairwise | 0, 1, 4, 4 | 0+1=1 ; 4+4=8 ; 1+8=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 777+434 | d2:7+4+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:7+4+1=12→w2,c1 ; sum=1211 |
base_conversion | base_conversion:via-binary | n=173,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:5 ; OUT:255 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 7, 3, 6 | [4,9,3,7,6] ; [3,4,7,9,6] ; [3,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 802+216 | round:810+216=1026 ; adjust:1026-8=1018 ; sum=1018 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 8, 5, 9, 2 | 9+2=11 ; 5+11=16 ; 8+16=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 3, 2, 9 | [2,8,3,4,9] ; [2,3,8,4,9] ; [2,3,4,8,9] ; [2,3,4,8,9] |
base_conversion | base_conversion:repeated-division | n=4,base=4 | DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:10 |
multidigit_addition | multidigit_addition:rounding-decomposition | 465+218 | round:470+218=688 ; adjust:688-5=683 ; sum=683 |
list_summation | list_summation:left-to-right | 0, 4, 9, 5 | 0+4=4 ; 4+9=13 ; 13+5=18 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 7, 3, 4 | [7,5,2,3,4] ; [4,5,2,3,7] ; [5,4,2,3,7] ; [3,4,2,5,7] ; [4,3,2,5,7] ; [2,3,4,5,7] ; [3,2,4,5,7] ; [2,3,4,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 1, 2, 6 | [1,9,7,2,6] ; [1,2,7,9,6] ; [1,2,6,9,7] ; [1,2,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 4, 6, 1 | [3,5,4,6,1] ; [3,4,5,6,1] ; [1,3,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=2 | 2x+0=2 ; 2x=2 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 302+296 | d2:2+6+0=8→w8,c0 ; d1:0+9+0=9→w9,c0 ; d0:3+2+0=5→w5,c0 ; sum=598 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-24 | 2x-16=-24 ; x+-8=-12 ; x=-12--8 ; x=-4 |
list_summation | list_summation:left-to-right | 3, 5, 9, 2 | 3+5=8 ; 8+9=17 ; 17+2=19 |
list_summation | list_summation:right-to-left | 5, 6, 4, 6 | 4+6=10 ; 6+10=16 ; 5+16=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=15 | 5x-25=15 ; x=(15--25)/5 ; x=40/5 ; x=8 |
base_conversion | base_conversion:decomposition | n=84,base=16 | TERM:5*16^1=80 ; TERM:4*16^0=4 ; OUT:54 |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+287 | p100:400+200=600 ; p10:50+80=130 ; p1:7+7=14 ; sum=600+130+14=744 |
base_conversion | base_conversion:repeated-division | n=247,base=16 | DIV:247/16=15,r:7 ; DIV:15/16=0,r:15 ; OUT:F7 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 5, 7, 9 | [2,9,5,7,8] ; [9,2,5,7,8] ; [9,8,5,7,2] ; [2,8,5,7,9] ; [8,2,5,7,9] ; [8,7,5,2,9] ; [2,7,5,8,9] ; [7,2,5,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 0, 1, 9, 6 | [0,5,1,9,6] ; [0,1,5,9,6] ; [0,1,5,9,6] ; [0,1,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 140+576 | p100:100+500=600 ; p10:40+70=110 ; p1:0+6=6 ; sum=600+110+6=716 |
multidigit_addition | multidigit_addition:rounding-decomposition | 566+772 | round:570+772=1342 ; adjust:1342-4=1338 ; sum=1338 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=60 | 5x+35=60 ; 5x=25 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 8, 0, 3 | [0,5,8,7,3] ; [0,3,8,7,5] ; [0,3,5,7,8] ; [0,3,5,7,8] |
base_conversion | base_conversion:decomposition | n=90,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:132 |
multidigit_addition | multidigit_addition:rounding-decomposition | 545+223 | round:550+223=773 ; adjust:773-5=768 ; sum=768 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=56 | 8x+24=56 ; x=(56-24)/8 ; x=32/8 ; x=4 |
list_summation | list_summation:left-to-right | 7, 7, 1, 5 | 7+7=14 ; 14+1=15 ; 15+5=20 |
list_summation | list_summation:left-to-right | 6, 5, 5, 6 | 6+5=11 ; 11+5=16 ; 16+6=22 |
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