task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 3, 5, 3, 0 | 3+5=8 ; 8+3=11 ; 11+0=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=49,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:1 ; OUT:61 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 4, 0, 5, 6 | [0,3,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:pairwise | 1, 2, 7, 3 | 1+2=3 ; 7+3=10 ; 3+10=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 559+246 | p100:500+200=700 ; p10:50+40=90 ; p1:9+6=15 ; sum=700+90+15=805 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 0, 5, 3 | [2,8,0,5,3] ; [0,2,8,5,3] ; [0,2,5,8,3] ; [0,2,3,5,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 872+461 | p100:800+400=1200 ; p10:70+60=130 ; p1:2+1=3 ; sum=1200+130+3=1333 |
list_summation | list_summation:pairwise | 0, 7, 2, 2 | 0+7=7 ; 2+2=4 ; 7+4=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=-24 | 6x-24=-24 ; x=(-24--24)/6 ; x=0/6 ; x=0 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 6, 9, 2 | [0,6,7,9,2] ; [0,2,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-21 | 7x-21=-21 ; x+-3=-3 ; x=-3--3 ; x=0 |
base_conversion | base_conversion:repeated-division | n=225,base=4 | DIV:225/4=56,r:1 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3201 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 7, 8, 1 | [2,8,7,0,1] ; [8,2,7,0,1] ; [1,2,7,0,8] ; [7,2,1,0,8] ; [0,2,1,7,8] ; [2,0,1,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 6, 3, 5 | [1,7,6,3,5] ; [1,6,7,3,5] ; [1,3,6,7,5] ; [1,3,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-2=12 | 2x-2=12 ; x+-1=6 ; x=6--1 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=15 | 3x+0=15 ; x+0=5 ; x=5-0 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 7, 1, 0 | [0,5,7,1,2] ; [0,1,7,5,2] ; [0,1,2,5,7] ; [0,1,2,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 9, 0, 3 | [0,1,9,7,3] ; [0,1,9,7,3] ; [0,1,3,7,9] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=12 | 3x-15=12 ; x=(12--15)/3 ; x=27/3 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 980+139 | d2:0+9+0=9→w9,c0 ; d1:8+3+0=11→w1,c1 ; d0:9+1+1=11→w1,c1 ; sum=1119 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 392+913 | d2:2+3+0=5→w5,c0 ; d1:9+1+0=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1305 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-24=0 | 8x-24=0 ; 8x=24 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=-12 | 6x+42=-12 ; 6x=-54 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-54 | 9x+27=-54 ; x+3=-6 ; x=-6-3 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=-24 | 8x+24=-24 ; 8x=-48 ; x=-6 |
base_conversion | base_conversion:decomposition | n=104,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:150 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,1) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 7, 1, 2 | [5,7,8,1,2] ; [5,7,1,8,2] ; [5,7,1,2,8] ; [5,1,7,2,8] ; [5,1,2,7,8] ; [1,5,2,7,8] ; [1,2,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-12 | 2x-18=-12 ; x=(-12--18)/2 ; x=6/2 ; x=3 |
list_summation | list_summation:right-to-left | 0, 1, 7, 6 | 7+6=13 ; 1+13=14 ; 0+14=14 |
list_summation | list_summation:pairwise | 9, 5, 7, 0 | 9+5=14 ; 7+0=7 ; 14+7=21 |
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] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=78 | 6x+48=78 ; x+8=13 ; x=13-8 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 138+801 | p100:100+800=900 ; p10:30+0=30 ; p1:8+1=9 ; sum=900+30+9=939 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 0, 5, 7 | [0,4,5,8,7] ; [0,4,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 2, 6, 1 | [0,8,2,6,1] ; [0,2,8,6,1] ; [0,2,6,8,1] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 3, 2, 9 | [4,6,3,2,9] ; [3,4,6,2,9] ; [2,3,4,6,9] ; [2,3,4,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 0, 3, 1 | [4,8,0,3,1] ; [0,4,8,3,1] ; [0,3,4,8,1] ; [0,1,3,4,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 0, 1, 7 | [0,1,2,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
list_summation | list_summation:right-to-left | 2, 3, 4, 4 | 4+4=8 ; 3+8=11 ; 2+11=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 4, 5, 2 | [0,4,5,8,2] ; [0,2,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 550+917 | round:550+917=1467 ; adjust:1467-0=1467 ; sum=1467 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 1, 2, 6 | [3,6,1,2,0] ; [6,3,1,2,0] ; [0,3,1,2,6] ; [3,0,1,2,6] ; [3,2,1,0,6] ; [0,2,1,3,6] ; [2,0,1,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+24=6 | 6x+24=6 ; 6x=-18 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 881+148 | d2:1+8+0=9→w9,c0 ; d1:8+4+0=12→w2,c1 ; d0:8+1+1=10→w0,c1 ; sum=1029 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,4) | D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 769+777 | round:770+777=1547 ; adjust:1547-1=1546 ; sum=1546 |
list_summation | list_summation:left-to-right | 2, 3, 3, 4 | 2+3=5 ; 5+3=8 ; 8+4=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
base_conversion | base_conversion:decomposition | n=27,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011 |
list_summation | list_summation:pairwise | 3, 6, 8, 2 | 3+6=9 ; 8+2=10 ; 9+10=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(5,4) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=227,base=16 | DIV:227/16=14,r:3 ; DIV:14/16=0,r:14 ; OUT:E3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 7, 6, 0 | [5,8,7,6,0] ; [5,7,8,6,0] ; [5,7,6,8,0] ; [5,7,6,0,8] ; [5,6,7,0,8] ; [5,6,0,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=-16 | 4x+16=-16 ; x+4=-4 ; x=-4-4 ; x=-8 |
base_conversion | base_conversion:via-binary | n=123,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:1323 |
multidigit_addition | multidigit_addition:right-to-left-carry | 930+424 | d2:0+4+0=4→w4,c0 ; d1:3+2+0=5→w5,c0 ; d0:9+4+0=13→w3,c1 ; sum=1354 |
multidigit_addition | multidigit_addition:right-to-left-carry | 497+334 | d2:7+4+0=11→w1,c1 ; d1:9+3+1=13→w3,c1 ; d0:4+3+1=8→w8,c0 ; sum=831 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=10 | 5x+25=10 ; 5x=-15 ; x=-3 |
list_summation | list_summation:right-to-left | 0, 5, 7, 7 | 7+7=14 ; 5+14=19 ; 0+19=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 6, 3, 4 | [3,8,6,5,4] ; [3,4,6,5,8] ; [3,4,5,6,8] ; [3,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=68,base=2 | DIV:68/2=34,r:0 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; 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:1000100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-56 | 4x-20=-56 ; x+-5=-14 ; x=-14--5 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,3) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
base_conversion | base_conversion:repeated-division | n=244,base=4 | DIV:244/4=61,r:0 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3310 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 8, 6, 0 | [9,2,8,6,0] ; [9,6,8,2,0] ; [0,6,8,2,9] ; [8,6,0,2,9] ; [2,6,0,8,9] ; [6,2,0,8,9] ; [0,2,6,8,9] ; [2,0,6,8,9] ; [0,2,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-36 | 3x-24=-36 ; x+-8=-12 ; x=-12--8 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 4, 3, 1, 0 | [0,4,3,1,9] ; [4,0,3,1,9] ; [4,1,3,0,9] ; [0,1,3,4,9] ; [3,1,0,4,9] ; [0,1,3,4,9] ; [1,0,3,4,9] ; [0,1,3,4,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 555+696 | round:560+696=1256 ; adjust:1256-5=1251 ; sum=1251 |
base_conversion | base_conversion:via-binary | n=82,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:122 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 1, 7 | [6,9,4,1,7] ; [4,6,9,1,7] ; [1,4,6,9,7] ; [1,4,6,7,9] |
base_conversion | base_conversion:repeated-division | n=21,base=8 | DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:25 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 0, 1, 8 | [0,1,4,9,8] ; [0,1,4,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=52 | 4x+24=52 ; 4x=28 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:via-binary | n=99,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=0 | 6x+30=0 ; 6x=-30 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 2, 9, 5 | [6,9,2,0,5] ; [9,6,2,0,5] ; [5,6,2,0,9] ; [6,5,2,0,9] ; [0,5,2,6,9] ; [5,0,2,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9] |
base_conversion | base_conversion:decomposition | n=159,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2133 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 5, 4, 9 | [1,5,8,4,9] ; [1,5,4,8,9] ; [1,4,5,8,9] |
list_summation | list_summation:right-to-left | 5, 3, 6, 5 | 6+5=11 ; 3+11=14 ; 5+14=19 |
list_summation | list_summation:pairwise | 7, 7, 2, 0 | 7+7=14 ; 2+0=2 ; 14+2=16 |
base_conversion | base_conversion:repeated-division | n=59,base=2 | DIV:59/2=29,r:1 ; DIV:29/2=14,r:1 ; 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:111011 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 1, 6, 8 | [0,1,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) |
list_summation | list_summation:pairwise | 4, 7, 7, 5 | 4+7=11 ; 7+5=12 ; 11+12=23 |
base_conversion | base_conversion:decomposition | n=209,base=16 | TERM:13*16^1=208 ; TERM:1*16^0=1 ; OUT:D1 |
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