task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 4, 1, 6 | [0,9,4,1,6] ; [0,4,9,1,6] ; [0,4,1,9,6] ; [0,4,1,6,9] ; [0,1,4,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
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=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=109,base=8 | DIV:109/8=13,r:5 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:155 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 5, 1, 2 | [1,8,5,4,2] ; [1,2,5,4,8] ; [1,2,4,5,8] ; [1,2,4,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-52 | 4x-32=-52 ; x=(-52--32)/4 ; x=-20/4 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 332+423 | d2:2+3+0=5→w5,c0 ; d1:3+2+0=5→w5,c0 ; d0:3+4+0=7→w7,c0 ; sum=755 |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:pairwise | 6, 2, 7, 5 | 6+2=8 ; 7+5=12 ; 8+12=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 1, 9, 2 | [0,1,4,9,2] ; [0,1,2,4,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=51 | 3x+27=51 ; x+9=17 ; x=17-9 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 5, 4, 9 | [2,6,5,4,9] ; [2,4,5,6,9] ; [2,4,5,6,9] ; [2,4,5,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:pairwise | 5, 4, 8, 9 | 5+4=9 ; 8+9=17 ; 9+17=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=12 | 6x-18=12 ; x+-3=2 ; x=2--3 ; x=5 |
list_summation | list_summation:pairwise | 6, 2, 4, 2 | 6+2=8 ; 4+2=6 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=-35 | 7x+14=-35 ; x+2=-5 ; x=-5-2 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-36 | 9x+0=-36 ; 9x=-36 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 337+829 | p100:300+800=1100 ; p10:30+20=50 ; p1:7+9=16 ; sum=1100+50+16=1166 |
multidigit_addition | multidigit_addition:left-to-right-partials | 939+228 | p100:900+200=1100 ; p10:30+20=50 ; p1:9+8=17 ; sum=1100+50+17=1167 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 4, 7, 0 | [2,6,4,7,0] ; [2,4,6,7,0] ; [2,4,6,0,7] ; [2,4,0,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7] |
base_conversion | base_conversion:via-binary | n=78,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:6 ; OUT:116 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 9, 4, 5 | [3,7,4,9,5] ; [3,4,7,9,5] ; [3,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=55,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:7 ; OUT:67 |
multidigit_addition | multidigit_addition:right-to-left-carry | 366+484 | d2:6+4+0=10→w0,c1 ; d1:6+8+1=15→w5,c1 ; d0:3+4+1=8→w8,c0 ; sum=850 |
list_summation | list_summation:right-to-left | 7, 6, 2, 5 | 2+5=7 ; 6+7=13 ; 7+13=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 8, 5, 2 | [0,6,8,5,2] ; [0,6,8,5,2] ; [0,5,6,8,2] ; [0,2,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 0, 1, 4 | [8,3,0,1,4] ; [8,4,0,1,3] ; [3,4,0,1,8] ; [4,3,0,1,8] ; [1,3,0,4,8] ; [3,1,0,4,8] ; [0,1,3,4,8] ; [1,0,3,4,8] ; [0,1,3,4,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-27 | 9x-63=-27 ; x+-7=-3 ; x=-3--7 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 6, 2, 6, 0 | 6+2=8 ; 6+0=6 ; 8+6=14 |
list_summation | list_summation:right-to-left | 7, 3, 1, 7 | 1+7=8 ; 3+8=11 ; 7+11=18 |
list_summation | list_summation:right-to-left | 4, 1, 5, 7 | 5+7=12 ; 1+12=13 ; 4+13=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 793+585 | p100:700+500=1200 ; p10:90+80=170 ; p1:3+5=8 ; sum=1200+170+8=1378 |
multidigit_addition | multidigit_addition:left-to-right-partials | 944+219 | p100:900+200=1100 ; p10:40+10=50 ; p1:4+9=13 ; sum=1100+50+13=1163 |
base_conversion | base_conversion:decomposition | n=47,base=8 | TERM:5*8^1=40 ; TERM:7*8^0=7 ; OUT:57 |
base_conversion | base_conversion:via-binary | n=9,base=2 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 935+746 | p100:900+700=1600 ; p10:30+40=70 ; p1:5+6=11 ; sum=1600+70+11=1681 |
base_conversion | base_conversion:decomposition | n=161,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:2201 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 3, 9, 7 | [0,5,3,9,7] ; [0,3,5,9,7] ; [0,3,5,9,7] ; [0,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 5, 2, 7 | [3,9,5,2,7] ; [3,5,9,2,7] ; [2,3,5,9,7] ; [2,3,5,7,9] |
list_summation | list_summation:pairwise | 8, 0, 6, 9 | 8+0=8 ; 6+9=15 ; 8+15=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 252+412 | p100:200+400=600 ; p10:50+10=60 ; p1:2+2=4 ; sum=600+60+4=664 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:right-to-left | 0, 1, 5, 4 | 5+4=9 ; 1+9=10 ; 0+10=10 |
list_summation | list_summation:pairwise | 9, 3, 9, 2 | 9+3=12 ; 9+2=11 ; 12+11=23 |
base_conversion | base_conversion:via-binary | n=29,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:5 ; OUT:35 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 4, 2, 7 | [8,7,4,2,0] ; [0,7,4,2,8] ; [7,0,4,2,8] ; [7,2,4,0,8] ; [0,2,4,7,8] ; [4,2,0,7,8] ; [0,2,4,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8] |
base_conversion | base_conversion:via-binary | n=205,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3031 |
list_summation | list_summation:pairwise | 4, 1, 1, 8 | 4+1=5 ; 1+8=9 ; 5+9=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=72 | 9x+9=72 ; x=(72-9)/9 ; x=63/9 ; x=7 |
base_conversion | base_conversion:via-binary | n=33,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:201 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 6, 4, 5 | [8,9,6,4,5] ; [6,8,9,4,5] ; [4,6,8,9,5] ; [4,5,6,8,9] |
list_summation | list_summation:right-to-left | 1, 1, 8, 8 | 8+8=16 ; 1+16=17 ; 1+17=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=176,base=16 | DIV:176/16=11,r:0 ; DIV:11/16=0,r:11 ; OUT:B0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 488+285 | round:490+285=775 ; adjust:775-2=773 ; sum=773 |
base_conversion | base_conversion:repeated-division | n=192,base=16 | DIV:192/16=12,r:0 ; DIV:12/16=0,r:12 ; OUT:C0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,4) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
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) |
list_summation | list_summation:right-to-left | 4, 6, 4, 8 | 4+8=12 ; 6+12=18 ; 4+18=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 0, 8, 7 | [5,8,0,6,7] ; [8,5,0,6,7] ; [8,7,0,6,5] ; [5,7,0,6,8] ; [7,5,0,6,8] ; [7,6,0,5,8] ; [5,6,0,7,8] ; [6,5,0,7,8] ; [0,5,6,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=153,base=8 | DIV:153/8=19,r:1 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:231 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=7 | 7x-21=7 ; x+-3=1 ; x=1--3 ; x=4 |
base_conversion | base_conversion:via-binary | n=72,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1001000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 539+464 | d2:9+4+0=13→w3,c1 ; d1:3+6+1=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1003 |
base_conversion | base_conversion:repeated-division | n=179,base=8 | DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263 |
multidigit_addition | multidigit_addition:right-to-left-carry | 661+746 | d2:1+6+0=7→w7,c0 ; d1:6+4+0=10→w0,c1 ; d0:6+7+1=14→w4,c1 ; sum=1407 |
base_conversion | base_conversion:via-binary | n=47,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:101111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 1, 8, 4 | [0,1,7,8,4] ; [0,1,4,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 4, 9, 1 | [0,5,4,9,1] ; [0,4,5,9,1] ; [0,4,5,9,1] ; [0,1,4,5,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 5, 6, 9 | [3,4,5,6,9] |
base_conversion | base_conversion:repeated-division | n=106,base=16 | DIV:106/16=6,r:10 ; DIV:6/16=0,r:6 ; OUT:6A |
multidigit_addition | multidigit_addition:left-to-right-partials | 103+601 | p100:100+600=700 ; p10:0+0=0 ; p1:3+1=4 ; sum=700+0+4=704 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-4 | 4x-28=-4 ; 4x=24 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=3 | 3x+9=3 ; x+3=1 ; x=1-3 ; x=-2 |
base_conversion | base_conversion:decomposition | n=115,base=16 | TERM:7*16^1=112 ; TERM:3*16^0=3 ; OUT:73 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-6=-24 | 3x-6=-24 ; x=(-24--6)/3 ; x=-18/3 ; x=-6 |
list_summation | list_summation:right-to-left | 8, 0, 7, 1 | 7+1=8 ; 0+8=8 ; 8+8=16 |
list_summation | list_summation:right-to-left | 1, 5, 2, 5 | 2+5=7 ; 5+7=12 ; 1+12=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 941+918 | d2:1+8+0=9→w9,c0 ; d1:4+1+0=5→w5,c0 ; d0:9+9+0=18→w8,c1 ; sum=1859 |
list_summation | list_summation:pairwise | 7, 7, 4, 1 | 7+7=14 ; 4+1=5 ; 14+5=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=28 | 4x+4=28 ; x+1=7 ; x=7-1 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:left-to-right | 2, 7, 7, 4 | 2+7=9 ; 9+7=16 ; 16+4=20 |
list_summation | list_summation:left-to-right | 6, 2, 0, 3 | 6+2=8 ; 8+0=8 ; 8+3=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 4, 3, 8 | [0,5,4,3,8] ; [0,4,5,3,8] ; [0,3,4,5,8] ; [0,3,4,5,8] |
list_summation | list_summation:left-to-right | 5, 3, 6, 7 | 5+3=8 ; 8+6=14 ; 14+7=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
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