task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=166,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:246 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=24 | 3x+27=24 ; 3x=-3 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) |
list_summation | list_summation:pairwise | 7, 2, 2, 1 | 7+2=9 ; 2+1=3 ; 9+3=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 6, 4, 0 | [2,4,6,1,0] ; [6,4,2,1,0] ; [0,4,2,1,6] ; [4,0,2,1,6] ; [4,1,2,0,6] ; [0,1,2,4,6] ; [2,1,0,4,6] ; [0,1,2,4,6] ; [1,0,2,4,6] ; [0,1,2,4,6] |
list_summation | list_summation:pairwise | 9, 2, 5, 8 | 9+2=11 ; 5+8=13 ; 11+13=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 9, 6, 2 | [1,4,9,6,2] ; [1,4,9,6,2] ; [1,4,6,9,2] ; [1,2,4,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 127+960 | d2:7+0+0=7→w7,c0 ; d1:2+6+0=8→w8,c0 ; d0:1+9+0=10→w0,c1 ; sum=1087 |
list_summation | list_summation:pairwise | 2, 1, 5, 9 | 2+1=3 ; 5+9=14 ; 3+14=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=-12 | 6x+6=-12 ; 6x=-18 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 199+930 | round:200+930=1130 ; adjust:1130-1=1129 ; sum=1129 |
base_conversion | base_conversion:via-binary | n=227,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3203 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,1) | R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=-60 | 4x-24=-60 ; 4x=-36 ; x=-9 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 1, 6, 8 | [0,1,3,6,8] |
list_summation | list_summation:right-to-left | 9, 9, 6, 3 | 6+3=9 ; 9+9=18 ; 9+18=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-14 | 7x-28=-14 ; x+-4=-2 ; x=-2--4 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 7, 8, 0 | [4,6,7,8,0] ; [4,6,7,0,8] ; [4,6,0,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 4, 8, 1, 5 | 4+8=12 ; 1+5=6 ; 12+6=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(4,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 9, 1, 2, 2 | 9+1=10 ; 2+2=4 ; 10+4=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 4, 8, 5, 0 | [2,5,8,4,0] ; [8,5,2,4,0] ; [0,5,2,4,8] ; [5,0,2,4,8] ; [5,4,2,0,8] ; [0,4,2,5,8] ; [4,0,2,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 500+370 | p100:500+300=800 ; p10:0+70=70 ; p1:0+0=0 ; sum=800+70+0=870 |
list_summation | list_summation:left-to-right | 6, 2, 1, 4 | 6+2=8 ; 8+1=9 ; 9+4=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 3, 8, 0 | [6,8,3,1,0] ; [8,6,3,1,0] ; [0,6,3,1,8] ; [6,0,3,1,8] ; [6,1,3,0,8] ; [0,1,3,6,8] ; [3,1,0,6,8] ; [0,1,3,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
base_conversion | base_conversion:repeated-division | n=102,base=4 | DIV:102/4=25,r:2 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1212 |
list_summation | list_summation:pairwise | 3, 6, 6, 3 | 3+6=9 ; 6+3=9 ; 9+9=18 |
base_conversion | base_conversion:via-binary | n=175,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:15 ; OUT:AF |
multidigit_addition | multidigit_addition:right-to-left-carry | 193+645 | d2:3+5+0=8→w8,c0 ; d1:9+4+0=13→w3,c1 ; d0:1+6+1=8→w8,c0 ; sum=838 |
list_summation | list_summation:left-to-right | 2, 9, 8, 5 | 2+9=11 ; 11+8=19 ; 19+5=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 6, 3, 8 | [5,7,6,3,8] ; [5,6,7,3,8] ; [3,5,6,7,8] ; [3,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-90 | 9x-45=-90 ; 9x=-45 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 0, 2, 7 | [9,7,0,2,1] ; [1,7,0,2,9] ; [7,1,0,2,9] ; [7,2,0,1,9] ; [1,2,0,7,9] ; [2,1,0,7,9] ; [0,1,2,7,9] ; [1,0,2,7,9] ; [0,1,2,7,9] |
list_summation | list_summation:pairwise | 3, 9, 6, 4 | 3+9=12 ; 6+4=10 ; 12+10=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-24 | 2x-16=-24 ; x=(-24--16)/2 ; x=-8/2 ; x=-4 |
list_summation | list_summation:pairwise | 7, 7, 0, 1 | 7+7=14 ; 0+1=1 ; 14+1=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-48 | 8x-40=-48 ; x=(-48--40)/8 ; x=-8/8 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=11,base=16 | DIV:11/16=0,r:11 ; OUT:B |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 1, 5, 8 | [1,6,3,5,8] ; [1,3,6,5,8] ; [1,3,5,6,8] ; [1,3,5,6,8] |
list_summation | list_summation:right-to-left | 6, 4, 3, 8 | 3+8=11 ; 4+11=15 ; 6+15=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 5, 1, 6 | [7,8,5,1,6] ; [5,7,8,1,6] ; [1,5,7,8,6] ; [1,5,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 931+777 | p100:900+700=1600 ; p10:30+70=100 ; p1:1+7=8 ; sum=1600+100+8=1708 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-18 | 6x-30=-18 ; 6x=12 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-21 | 3x-24=-21 ; 3x=3 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 6, 9, 2, 8 | 2+8=10 ; 9+10=19 ; 6+19=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 272+775 | d2:2+5+0=7→w7,c0 ; d1:7+7+0=14→w4,c1 ; d0:2+7+1=10→w0,c1 ; sum=1047 |
list_summation | list_summation:pairwise | 8, 9, 3, 9 | 8+9=17 ; 3+9=12 ; 17+12=29 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 4, 7, 2 | [3,6,4,7,2] ; [3,4,6,7,2] ; [3,4,6,7,2] ; [2,3,4,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 1, 6, 5 | [3,9,1,6,5] ; [1,3,9,6,5] ; [1,3,6,9,5] ; [1,3,5,6,9] |
base_conversion | base_conversion:via-binary | n=113,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:1 ; OUT:161 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=-5 | 5x+0=-5 ; x+0=-1 ; x=-1-0 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 204+291 | p100:200+200=400 ; p10:0+90=90 ; p1:4+1=5 ; sum=400+90+5=495 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 3, 7, 1 | [0,9,3,7,1] ; [0,3,9,7,1] ; [0,3,7,9,1] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=5 | 5x+5=5 ; x=(5-5)/5 ; x=0/5 ; x=0 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 5, 7, 6 | [3,5,7,9,6] ; [3,5,6,7,9] |
base_conversion | base_conversion:decomposition | n=100,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:144 |
list_summation | list_summation:pairwise | 9, 2, 3, 9 | 9+2=11 ; 3+9=12 ; 11+12=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=-18 | 3x+9=-18 ; 3x=-27 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=6 | 2x+18=6 ; x+9=3 ; x=3-9 ; x=-6 |
base_conversion | base_conversion:via-binary | n=241,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:1 ; OUT:F1 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 7, 0, 1 | [7,6,5,0,1] ; [1,6,5,0,7] ; [6,1,5,0,7] ; [0,1,5,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 590+826 | d2:0+6+0=6→w6,c0 ; d1:9+2+0=11→w1,c1 ; d0:5+8+1=14→w4,c1 ; sum=1416 |
base_conversion | base_conversion:repeated-division | n=125,base=2 | DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; 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:1111101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=18 | 3x+21=18 ; x+7=6 ; x=6-7 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 827+787 | d2:7+7+0=14→w4,c1 ; d1:2+8+1=11→w1,c1 ; d0:8+7+1=16→w6,c1 ; sum=1614 |
multidigit_addition | multidigit_addition:right-to-left-carry | 297+191 | d2:7+1+0=8→w8,c0 ; d1:9+9+0=18→w8,c1 ; d0:2+1+1=4→w4,c0 ; sum=488 |
base_conversion | base_conversion:decomposition | n=136,base=16 | TERM:8*16^1=128 ; TERM:8*16^0=8 ; OUT:88 |
multidigit_addition | multidigit_addition:left-to-right-partials | 509+926 | p100:500+900=1400 ; p10:0+20=20 ; p1:9+6=15 ; sum=1400+20+15=1435 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 3, 7, 4 | [3,5,7,9,4] ; [3,4,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 765+522 | round:770+522=1292 ; adjust:1292-5=1287 ; sum=1287 |
multidigit_addition | multidigit_addition:left-to-right-partials | 491+161 | p100:400+100=500 ; p10:90+60=150 ; p1:1+1=2 ; sum=500+150+2=652 |
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:left-to-right | 4, 1, 6, 2 | 4+1=5 ; 5+6=11 ; 11+2=13 |
base_conversion | base_conversion:via-binary | n=252,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11111100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 235+514 | p100:200+500=700 ; p10:30+10=40 ; p1:5+4=9 ; sum=700+40+9=749 |
multidigit_addition | multidigit_addition:rounding-decomposition | 507+628 | round:510+628=1138 ; adjust:1138-3=1135 ; sum=1135 |
base_conversion | base_conversion:repeated-division | n=153,base=4 | DIV:153/4=38,r:1 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2121 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=-15 | 5x+25=-15 ; 5x=-40 ; x=-8 |
base_conversion | base_conversion:via-binary | n=5,base=16 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
list_summation | list_summation:pairwise | 7, 5, 6, 0 | 7+5=12 ; 6+0=6 ; 12+6=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 9, 7, 8 | [0,1,7,9,8] ; [0,1,7,8,9] |
base_conversion | base_conversion:repeated-division | n=19,base=4 | DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:103 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 5, 0, 3 | [9,3,5,0,1] ; [1,3,5,0,9] ; [5,3,1,0,9] ; [0,3,1,5,9] ; [3,0,1,5,9] ; [1,0,3,5,9] ; [0,1,3,5,9] |
base_conversion | base_conversion:via-binary | n=74,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:112 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,5) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
base_conversion | base_conversion:decomposition | n=192,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:0*8^0=0 ; OUT:300 |
multidigit_addition | multidigit_addition:right-to-left-carry | 515+174 | d2:5+4+0=9→w9,c0 ; d1:1+7+0=8→w8,c0 ; d0:5+1+0=6→w6,c0 ; sum=689 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 9, 0, 3 | [5,7,9,0,3] ; [5,7,9,0,3] ; [0,5,7,9,3] ; [0,3,5,7,9] |
base_conversion | base_conversion:repeated-division | n=97,base=4 | DIV:97/4=24,r:1 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1201 |
list_summation | list_summation:left-to-right | 5, 5, 7, 8 | 5+5=10 ; 10+7=17 ; 17+8=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=-25 | 5x-20=-25 ; x=(-25--20)/5 ; x=-5/5 ; x=-1 |
list_summation | list_summation:left-to-right | 7, 0, 1, 3 | 7+0=7 ; 7+1=8 ; 8+3=11 |
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