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 | 6, 0, 1, 1 | 6+0=6 ; 6+1=7 ; 7+1=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
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:bubble-sort | 0, 7, 8, 3, 9 | [0,7,3,8,9] ; [0,3,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 2, 1, 6 | [0,2,3,1,6] ; [0,2,1,3,6] ; [0,1,2,3,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 1, 8, 3 | [7,8,1,2,3] ; [8,7,1,2,3] ; [3,7,1,2,8] ; [7,3,1,2,8] ; [2,3,1,7,8] ; [3,2,1,7,8] ; [1,2,3,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 7, 9, 8 | [2,9,7,0,8] ; [9,2,7,0,8] ; [9,8,7,0,2] ; [2,8,7,0,9] ; [8,2,7,0,9] ; [0,2,7,8,9] ; [7,2,0,8,9] ; [0,2,7,8,9] ; [2,0,7,8,9] ; [0,2,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 2, 8, 3 | [2,7,4,8,3] ; [2,3,4,8,7] ; [2,3,4,8,7] ; [2,3,4,7,8] |
list_summation | list_summation:right-to-left | 7, 9, 9, 7 | 9+7=16 ; 9+16=25 ; 7+25=32 |
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) |
base_conversion | base_conversion:decomposition | n=76,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:114 |
multidigit_addition | multidigit_addition:left-to-right-partials | 553+498 | p100:500+400=900 ; p10:50+90=140 ; p1:3+8=11 ; sum=900+140+11=1051 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 2, 5, 1 | [0,2,9,5,1] ; [0,2,5,9,1] ; [0,2,5,1,9] ; [0,2,1,5,9] ; [0,1,2,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 6, 8, 4 | [1,3,6,8,4] ; [1,3,6,8,4] ; [1,3,6,8,4] ; [1,3,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,5) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 5, 3, 7 | [0,6,5,3,7] ; [0,3,5,6,7] ; [0,3,5,6,7] ; [0,3,5,6,7] |
list_summation | list_summation:left-to-right | 9, 8, 8, 3 | 9+8=17 ; 17+8=25 ; 25+3=28 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 1, 3, 5, 4 | [0,1,3,5,4] ; [0,1,3,5,4] ; [0,1,3,5,4] ; [0,1,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=36 | 9x+27=36 ; x+3=4 ; x=4-3 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 577+365 | p100:500+300=800 ; p10:70+60=130 ; p1:7+5=12 ; sum=800+130+12=942 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 0, 9, 3 | [2,8,0,9,3] ; [0,2,8,9,3] ; [0,2,3,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 215+148 | round:220+148=368 ; adjust:368-5=363 ; sum=363 |
multidigit_addition | multidigit_addition:rounding-decomposition | 889+314 | round:890+314=1204 ; adjust:1204-1=1203 ; sum=1203 |
multidigit_addition | multidigit_addition:right-to-left-carry | 782+937 | d2:2+7+0=9→w9,c0 ; d1:8+3+0=11→w1,c1 ; d0:7+9+1=17→w7,c1 ; sum=1719 |
list_summation | list_summation:left-to-right | 2, 7, 9, 2 | 2+7=9 ; 9+9=18 ; 18+2=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 2, 0, 6 | [0,7,2,3,6] ; [0,2,7,3,6] ; [0,2,3,7,6] ; [0,2,3,6,7] |
list_summation | list_summation:right-to-left | 6, 7, 4, 2 | 4+2=6 ; 7+6=13 ; 6+13=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 993+920 | round:1000+920=1920 ; adjust:1920-7=1913 ; sum=1913 |
base_conversion | base_conversion:decomposition | n=7,base=4 | TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 620+129 | p100:600+100=700 ; p10:20+20=40 ; p1:0+9=9 ; sum=700+40+9=749 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-24 | 8x-48=-24 ; x+-6=-3 ; x=-3--6 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 568+582 | p100:500+500=1000 ; p10:60+80=140 ; p1:8+2=10 ; sum=1000+140+10=1150 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=21 | 3x+27=21 ; x=(21-27)/3 ; x=-6/3 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 255+913 | d2:5+3+0=8→w8,c0 ; d1:5+1+0=6→w6,c0 ; d0:2+9+0=11→w1,c1 ; sum=1168 |
base_conversion | base_conversion:decomposition | n=11,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1011 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 5, 8, 3 | [7,8,5,6,3] ; [8,7,5,6,3] ; [3,7,5,6,8] ; [7,3,5,6,8] ; [7,6,5,3,8] ; [3,6,5,7,8] ; [6,3,5,7,8] ; [5,3,6,7,8] ; [3,5,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 946+656 | p100:900+600=1500 ; p10:40+50=90 ; p1:6+6=12 ; sum=1500+90+12=1602 |
list_summation | list_summation:left-to-right | 2, 2, 8, 6 | 2+2=4 ; 4+8=12 ; 12+6=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=36 | 9x-45=36 ; x+-5=4 ; x=4--5 ; x=9 |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 3, 9, 5 | [0,2,3,5,9] |
list_summation | list_summation:pairwise | 2, 9, 2, 2 | 2+9=11 ; 2+2=4 ; 11+4=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=0 | 8x-40=0 ; x=(0--40)/8 ; x=40/8 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-56 | 8x-16=-56 ; 8x=-40 ; x=-5 |
base_conversion | base_conversion:decomposition | n=108,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1101100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=0 | 2x+18=0 ; 2x=-18 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 731+849 | p100:700+800=1500 ; p10:30+40=70 ; p1:1+9=10 ; sum=1500+70+10=1580 |
base_conversion | base_conversion:repeated-division | n=209,base=16 | DIV:209/16=13,r:1 ; DIV:13/16=0,r:13 ; OUT:D1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 3, 5, 4 | [6,9,3,5,4] ; [6,3,9,5,4] ; [6,3,5,9,4] ; [6,3,5,4,9] ; [3,6,5,4,9] ; [3,5,6,4,9] ; [3,5,4,6,9] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 796+659 | round:800+659=1459 ; adjust:1459-4=1455 ; sum=1455 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 1, 1, 5, 8 | 5+8=13 ; 1+13=14 ; 1+14=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 2, 9, 5 | [4,7,2,9,5] ; [2,4,7,9,5] ; [2,4,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 0, 7, 6 | [0,3,9,7,6] ; [0,3,9,7,6] ; [0,3,6,7,9] ; [0,3,6,7,9] |
list_summation | list_summation:left-to-right | 8, 1, 0, 6 | 8+1=9 ; 9+0=9 ; 9+6=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,1) | D:(2,0) ; R:(2,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-63=-119 | 7x-63=-119 ; 7x=-56 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 1, 2, 9 | [4,8,1,2,9] ; [1,4,8,2,9] ; [1,2,4,8,9] ; [1,2,4,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 0, 9, 6 | [5,7,0,9,6] ; [0,5,7,9,6] ; [0,5,7,9,6] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+16=20 | 4x+16=20 ; x=(20-16)/4 ; x=4/4 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 4, 6, 0 | [2,4,9,6,0] ; [2,4,6,9,0] ; [2,4,6,0,9] ; [2,4,0,6,9] ; [2,0,4,6,9] ; [0,2,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 174+425 | round:180+425=605 ; adjust:605-6=599 ; sum=599 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=226,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:342 |
multidigit_addition | multidigit_addition:right-to-left-carry | 417+551 | d2:7+1+0=8→w8,c0 ; d1:1+5+0=6→w6,c0 ; d0:4+5+0=9→w9,c0 ; sum=968 |
multidigit_addition | multidigit_addition:rounding-decomposition | 397+570 | round:400+570=970 ; adjust:970-3=967 ; sum=967 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 8, 6, 9 | [1,5,8,6,9] ; [1,5,8,6,9] ; [1,5,6,8,9] ; [1,5,6,8,9] |
base_conversion | base_conversion:repeated-division | n=144,base=8 | DIV:144/8=18,r:0 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:220 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(2,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
base_conversion | base_conversion:repeated-division | n=52,base=4 | DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:310 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-48 | 8x-16=-48 ; 8x=-32 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 510+266 | p100:500+200=700 ; p10:10+60=70 ; p1:0+6=6 ; sum=700+70+6=776 |
list_summation | list_summation:left-to-right | 8, 4, 4, 3 | 8+4=12 ; 12+4=16 ; 16+3=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,5) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=18 | 6x+0=18 ; 6x=18 ; x=3 |
base_conversion | base_conversion:via-binary | n=174,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:2232 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 4, 6, 2 | [2,8,4,6,3] ; [2,3,4,6,8] ; [2,3,4,6,8] ; [2,3,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 399+784 | d2:9+4+0=13→w3,c1 ; d1:9+8+1=18→w8,c1 ; d0:3+7+1=11→w1,c1 ; sum=1183 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 5, 7, 6 | [1,9,5,7,6] ; [1,5,9,7,6] ; [1,5,7,9,6] ; [1,5,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 6, 3, 8 | [5,8,6,3,4] ; [8,5,6,3,4] ; [4,5,6,3,8] ; [6,5,4,3,8] ; [3,5,4,6,8] ; [5,3,4,6,8] ; [4,3,5,6,8] ; [3,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=26,base=8 | DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:32 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-40=-25 | 5x-40=-25 ; x=(-25--40)/5 ; x=15/5 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 1, 8, 9, 8 | 9+8=17 ; 8+17=25 ; 1+25=26 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,3) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=70,base=8 | DIV:70/8=8,r:6 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:106 |
multidigit_addition | multidigit_addition:right-to-left-carry | 289+555 | d2:9+5+0=14→w4,c1 ; d1:8+5+1=14→w4,c1 ; d0:2+5+1=8→w8,c0 ; sum=844 |
base_conversion | base_conversion:repeated-division | n=98,base=4 | DIV:98/4=24,r:2 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1202 |
list_summation | list_summation:pairwise | 4, 2, 3, 4 | 4+2=6 ; 3+4=7 ; 6+7=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 337+679 | p100:300+600=900 ; p10:30+70=100 ; p1:7+9=16 ; sum=900+100+16=1016 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 6, 3, 9, 1 | 6+3=9 ; 9+9=18 ; 18+1=19 |
base_conversion | base_conversion:decomposition | n=188,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10111100 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 0, 8, 9 | [4,0,5,8,9] ; [0,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 151+251 | p100:100+200=300 ; p10:50+50=100 ; p1:1+1=2 ; sum=300+100+2=402 |
multidigit_addition | multidigit_addition:left-to-right-partials | 748+334 | p100:700+300=1000 ; p10:40+30=70 ; p1:8+4=12 ; sum=1000+70+12=1082 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-9=-45 | 9x-9=-45 ; x=(-45--9)/9 ; x=-36/9 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 3, 8, 4 | [2,3,7,8,4] ; [2,3,4,7,8] |
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