task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 6, 5, 7, 4 | 7+4=11 ; 5+11=16 ; 6+16=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=18 | 2x+2=18 ; x=(18-2)/2 ; x=16/2 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=12 | 6x+18=12 ; 6x=-6 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 286+669 | p100:200+600=800 ; p10:80+60=140 ; p1:6+9=15 ; sum=800+140+15=955 |
list_summation | list_summation:pairwise | 6, 1, 9, 4 | 6+1=7 ; 9+4=13 ; 7+13=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 4, 0, 6 | [3,6,4,0,5] ; [6,3,4,0,5] ; [6,5,4,0,3] ; [3,5,4,0,6] ; [5,3,4,0,6] ; [0,3,4,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
list_summation | list_summation:pairwise | 2, 2, 7, 1 | 2+2=4 ; 7+1=8 ; 4+8=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-14 | 2x-10=-14 ; x+-5=-7 ; x=-7--5 ; x=-2 |
base_conversion | base_conversion:decomposition | n=57,base=8 | TERM:7*8^1=56 ; TERM:1*8^0=1 ; OUT:71 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 6, 4, 3 | [2,6,8,4,3] ; [2,6,4,8,3] ; [2,6,4,3,8] ; [2,4,6,3,8] ; [2,4,3,6,8] ; [2,3,4,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 2, 9, 0, 7 | [2,4,9,0,7] ; [2,4,0,9,7] ; [0,2,4,9,7] ; [0,2,4,7,9] |
list_summation | list_summation:right-to-left | 4, 5, 5, 4 | 5+4=9 ; 5+9=14 ; 4+14=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 162+911 | round:170+911=1081 ; adjust:1081-8=1073 ; sum=1073 |
list_summation | list_summation:pairwise | 3, 8, 9, 4 | 3+8=11 ; 9+4=13 ; 11+13=24 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 4, 8, 3 | [2,8,4,1,3] ; [8,2,4,1,3] ; [8,3,4,1,2] ; [2,3,4,1,8] ; [4,3,2,1,8] ; [1,3,2,4,8] ; [3,1,2,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 0, 3, 9 | [6,7,0,3,9] ; [0,6,7,3,9] ; [0,3,6,7,9] ; [0,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=72,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1020 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-84 | 7x-42=-84 ; x+-6=-12 ; x=-12--6 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 6, 6, 4, 4 | 4+4=8 ; 6+8=14 ; 6+14=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 7, 1, 6, 2 | 7+1=8 ; 6+2=8 ; 8+8=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 236+792 | d2:6+2+0=8→w8,c0 ; d1:3+9+0=12→w2,c1 ; d0:2+7+1=10→w0,c1 ; sum=1028 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=-12 | 3x+15=-12 ; 3x=-27 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 7, 0, 4 | [1,8,7,0,4] ; [1,7,8,0,4] ; [0,1,7,8,4] ; [0,1,4,7,8] |
base_conversion | base_conversion:via-binary | n=111,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1101111 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 433+481 | p100:400+400=800 ; p10:30+80=110 ; p1:3+1=4 ; sum=800+110+4=914 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 7, 5, 2 | [4,9,7,5,2] ; [4,7,9,5,2] ; [4,7,5,9,2] ; [4,7,5,2,9] ; [4,5,7,2,9] ; [4,5,2,7,9] ; [4,2,5,7,9] ; [2,4,5,7,9] |
list_summation | list_summation:right-to-left | 5, 4, 4, 3 | 4+3=7 ; 4+7=11 ; 5+11=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 3, 6, 1 | [7,6,3,4,1] ; [1,6,3,4,7] ; [6,1,3,4,7] ; [6,4,3,1,7] ; [1,4,3,6,7] ; [4,1,3,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 906+961 | p100:900+900=1800 ; p10:0+60=60 ; p1:6+1=7 ; sum=1800+60+7=1867 |
multidigit_addition | multidigit_addition:right-to-left-carry | 936+702 | d2:6+2+0=8→w8,c0 ; d1:3+0+0=3→w3,c0 ; d0:9+7+0=16→w6,c1 ; sum=1638 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-5 | 5x-45=-5 ; x=(-5--45)/5 ; x=40/5 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 9, 1, 5 | [2,7,9,1,5] ; [2,7,9,1,5] ; [1,2,7,9,5] ; [1,2,5,7,9] |
list_summation | list_summation:right-to-left | 2, 9, 6, 0 | 6+0=6 ; 9+6=15 ; 2+15=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-8=-40 | 4x-8=-40 ; 4x=-32 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 4, 5, 7 | [2,7,4,5,6] ; [7,2,4,5,6] ; [7,6,4,5,2] ; [2,6,4,5,7] ; [6,2,4,5,7] ; [6,5,4,2,7] ; [2,5,4,6,7] ; [5,2,4,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 6, 3, 2 | [0,7,6,3,2] ; [0,6,7,3,2] ; [0,3,6,7,2] ; [0,2,3,6,7] |
list_summation | list_summation:pairwise | 0, 9, 4, 0 | 0+9=9 ; 4+0=4 ; 9+4=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 9, 4, 6 | [1,2,9,4,6] ; [1,2,9,4,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
base_conversion | base_conversion:decomposition | n=123,base=16 | TERM:7*16^1=112 ; TERM:11*16^0=11 ; OUT:7B |
base_conversion | base_conversion:repeated-division | n=149,base=4 | DIV:149/4=37,r:1 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=64 | 4x+28=64 ; x=(64-28)/4 ; x=36/4 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:right-to-left | 7, 8, 1, 7 | 1+7=8 ; 8+8=16 ; 7+16=23 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 4, 3, 7 | [2,8,4,3,7] ; [2,3,4,8,7] ; [2,3,4,8,7] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 6, 9, 0 | [0,2,3,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 0, 1, 4 | [2,8,0,1,4] ; [2,0,8,1,4] ; [2,0,1,8,4] ; [2,0,1,4,8] ; [0,2,1,4,8] ; [0,1,2,4,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+18=-9 | 3x+18=-9 ; x=(-9-18)/3 ; x=-27/3 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 629+766 | d2:9+6+0=15→w5,c1 ; d1:2+6+1=9→w9,c0 ; d0:6+7+0=13→w3,c1 ; sum=1395 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,5) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
base_conversion | base_conversion:decomposition | n=2,base=4 | TERM:2*4^0=2 ; OUT:2 |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-6 | 6x+30=-6 ; x+5=-1 ; x=-1-5 ; x=-6 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 767+187 | p100:700+100=800 ; p10:60+80=140 ; p1:7+7=14 ; sum=800+140+14=954 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-48 | 4x-32=-48 ; x=(-48--32)/4 ; x=-16/4 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=221,base=16 | TERM:13*16^1=208 ; TERM:13*16^0=13 ; OUT:DD |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 1, 7, 5 | [6,1,9,7,5] ; [6,1,7,9,5] ; [6,1,7,5,9] ; [1,6,7,5,9] ; [1,6,5,7,9] ; [1,5,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 302+428 | round:310+428=738 ; adjust:738-8=730 ; sum=730 |
multidigit_addition | multidigit_addition:right-to-left-carry | 930+874 | d2:0+4+0=4→w4,c0 ; d1:3+7+0=10→w0,c1 ; d0:9+8+1=18→w8,c1 ; sum=1804 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 5, 4, 2 | [1,6,5,4,2] ; [1,5,6,4,2] ; [1,4,5,6,2] ; [1,2,4,5,6] |
base_conversion | base_conversion:via-binary | n=57,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:111001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 499+883 | p100:400+800=1200 ; p10:90+80=170 ; p1:9+3=12 ; sum=1200+170+12=1382 |
multidigit_addition | multidigit_addition:rounding-decomposition | 492+726 | round:500+726=1226 ; adjust:1226-8=1218 ; sum=1218 |
base_conversion | base_conversion:via-binary | n=208,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11010000 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-16 | 8x-64=-16 ; x+-8=-2 ; x=-2--8 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 1, 2, 3 | [0,4,1,2,3] ; [0,1,4,2,3] ; [0,1,2,4,3] ; [0,1,2,3,4] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 1, 9, 0 | [0,3,1,9,5] ; [0,1,3,9,5] ; [0,1,3,9,5] ; [0,1,3,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=-2 | 2x+10=-2 ; x=(-2-10)/2 ; x=-12/2 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 1, 4, 2 | [3,7,1,4,2] ; [1,3,4,7,2] ; [1,2,3,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=138,base=4 | DIV:138/4=34,r:2 ; DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2022 |
list_summation | list_summation:right-to-left | 7, 9, 5, 4 | 5+4=9 ; 9+9=18 ; 7+18=25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 1, 6, 4 | [5,7,1,6,4] ; [1,5,7,6,4] ; [1,5,6,7,4] ; [1,4,5,6,7] |
base_conversion | base_conversion:repeated-division | n=203,base=2 | DIV:203/2=101,r:1 ; DIV:101/2=50,r:1 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001011 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
base_conversion | base_conversion:repeated-division | n=98,base=2 | DIV:98/2=49,r:0 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100010 |
list_summation | list_summation:right-to-left | 0, 2, 6, 3 | 6+3=9 ; 2+9=11 ; 0+11=11 |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
list_summation | list_summation:right-to-left | 8, 8, 9, 2 | 9+2=11 ; 8+11=19 ; 8+19=27 |
multidigit_addition | multidigit_addition:rounding-decomposition | 195+331 | round:200+331=531 ; adjust:531-5=526 ; sum=526 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-30 | 3x-9=-30 ; x+-3=-10 ; x=-10--3 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-2 | 2x-8=-2 ; x=(-2--8)/2 ; x=6/2 ; x=3 |
base_conversion | base_conversion:decomposition | n=158,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:236 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
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