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 | 2, 9, 0, 6, 3 | [2,0,9,6,3] ; [2,0,6,9,3] ; [2,0,6,3,9] ; [0,2,6,3,9] ; [0,2,3,6,9] |
list_summation | list_summation:right-to-left | 0, 2, 3, 7 | 3+7=10 ; 2+10=12 ; 0+12=12 |
base_conversion | base_conversion:repeated-division | n=57,base=2 | DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:111001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 230+555 | d2:0+5+0=5→w5,c0 ; d1:3+5+0=8→w8,c0 ; d0:2+5+0=7→w7,c0 ; sum=785 |
list_summation | list_summation:pairwise | 5, 8, 4, 8 | 5+8=13 ; 4+8=12 ; 13+12=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 771+202 | d2:1+2+0=3→w3,c0 ; d1:7+0+0=7→w7,c0 ; d0:7+2+0=9→w9,c0 ; sum=973 |
base_conversion | base_conversion:decomposition | n=170,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:252 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-45 | 5x-30=-45 ; x=(-45--30)/5 ; x=-15/5 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-126 | 9x-63=-126 ; 9x=-63 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 0, 4, 9 | [0,5,7,4,9] ; [0,4,7,5,9] ; [0,4,5,7,9] ; [0,4,5,7,9] |
list_summation | list_summation:pairwise | 0, 1, 8, 4 | 0+1=1 ; 8+4=12 ; 1+12=13 |
list_summation | list_summation:right-to-left | 1, 0, 4, 6 | 4+6=10 ; 0+10=10 ; 1+10=11 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-18 | 2x-16=-18 ; x+-8=-9 ; x=-9--8 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=0 | 8x-56=0 ; x+-7=0 ; x=0--7 ; x=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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 7, 0, 1 | [2,3,7,0,1] ; [2,3,7,0,1] ; [0,2,3,7,1] ; [0,1,2,3,7] |
list_summation | list_summation:pairwise | 7, 7, 5, 6 | 7+7=14 ; 5+6=11 ; 14+11=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 605+379 | round:610+379=989 ; adjust:989-5=984 ; sum=984 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=28 | 7x-14=28 ; 7x=42 ; x=6 |
list_summation | list_summation:pairwise | 7, 6, 4, 6 | 7+6=13 ; 4+6=10 ; 13+10=23 |
list_summation | list_summation:right-to-left | 1, 5, 5, 3 | 5+3=8 ; 5+8=13 ; 1+13=14 |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 9, 2, 5, 6 | [9,4,2,5,6] ; [9,6,2,5,4] ; [4,6,2,5,9] ; [6,4,2,5,9] ; [6,5,2,4,9] ; [4,5,2,6,9] ; [5,4,2,6,9] ; [2,4,5,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9] |
list_summation | list_summation:right-to-left | 6, 1, 4, 3 | 4+3=7 ; 1+7=8 ; 6+8=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 630+240 | d2:0+0+0=0→w0,c0 ; d1:3+4+0=7→w7,c0 ; d0:6+2+0=8→w8,c0 ; sum=870 |
base_conversion | base_conversion:via-binary | n=211,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:3 ; OUT:D3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=8 | 4x-12=8 ; x=(8--12)/4 ; x=20/4 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 0, 8, 6 | [0,2,5,8,6] ; [0,2,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=-78 | 6x-36=-78 ; x=(-78--36)/6 ; x=-42/6 ; x=-7 |
base_conversion | base_conversion:decomposition | n=96,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1200 |
multidigit_addition | multidigit_addition:right-to-left-carry | 865+588 | d2:5+8+0=13→w3,c1 ; d1:6+8+1=15→w5,c1 ; d0:8+5+1=14→w4,c1 ; sum=1453 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 0, 2, 3, 5 | [0,9,2,3,5] ; [0,2,9,3,5] ; [0,2,3,9,5] ; [0,2,3,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=-10 | 5x+20=-10 ; 5x=-30 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=211,base=16 | DIV:211/16=13,r:3 ; DIV:13/16=0,r:13 ; OUT:D3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=202,base=16 | TERM:12*16^1=192 ; TERM:10*16^0=10 ; OUT:CA |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 8, 0, 2 | [0,3,8,9,2] ; [0,2,8,9,3] ; [0,2,3,9,8] ; [0,2,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 168+800 | p100:100+800=900 ; p10:60+0=60 ; p1:8+0=8 ; sum=900+60+8=968 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=-12 | 3x+15=-12 ; x=(-12-15)/3 ; x=-27/3 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 5, 6, 4 | [8,9,5,6,4] ; [8,5,9,6,4] ; [8,5,6,9,4] ; [8,5,6,4,9] ; [5,8,6,4,9] ; [5,6,8,4,9] ; [5,6,4,8,9] ; [5,4,6,8,9] ; [4,5,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 373+967 | p100:300+900=1200 ; p10:70+60=130 ; p1:3+7=10 ; sum=1200+130+10=1340 |
list_summation | list_summation:left-to-right | 1, 3, 0, 8 | 1+3=4 ; 4+0=4 ; 4+8=12 |
base_conversion | base_conversion:repeated-division | n=56,base=16 | DIV:56/16=3,r:8 ; DIV:3/16=0,r:3 ; OUT:38 |
base_conversion | base_conversion:via-binary | n=176,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:0 ; OUT:B0 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 3, 6, 1 | [1,4,3,6,2] ; [1,2,3,6,4] ; [1,2,3,6,4] ; [1,2,3,4,6] |
base_conversion | base_conversion:decomposition | n=108,base=16 | TERM:6*16^1=96 ; TERM:12*16^0=12 ; OUT:6C |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-9=63 | 9x-9=63 ; x=(63--9)/9 ; x=72/9 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=-18 | 9x+9=-18 ; x+1=-2 ; x=-2-1 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 8, 4, 7 | [4,6,8,9,7] ; [4,6,8,9,7] ; [4,6,7,9,8] ; [4,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-36 | 9x+0=-36 ; 9x=-36 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=64,base=4 | DIV:64/4=16,r:0 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1000 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 9, 7, 7, 6 | 9+7=16 ; 16+7=23 ; 23+6=29 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 4, 5, 1 | [3,7,4,5,1] ; [3,4,7,5,1] ; [3,4,5,7,1] ; [1,3,4,5,7] |
list_summation | list_summation:left-to-right | 6, 0, 6, 3 | 6+0=6 ; 6+6=12 ; 12+3=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 5, 0, 1, 8 | 5+0=5 ; 5+1=6 ; 6+8=14 |
base_conversion | base_conversion:via-binary | n=136,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:8 ; OUT:88 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 1, 2, 4 | [4,5,1,2,6] ; [5,4,1,2,6] ; [2,4,1,5,6] ; [4,2,1,5,6] ; [1,2,4,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 2, 5, 6 | [1,4,2,5,6] ; [1,2,4,5,6] ; [1,2,4,5,6] ; [1,2,4,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 4, 5, 8 | [3,6,4,5,8] ; [3,4,6,5,8] ; [3,4,5,6,8] ; [3,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=243,base=8 | DIV:243/8=30,r:3 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:363 |
base_conversion | base_conversion:via-binary | n=202,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:312 |
list_summation | list_summation:right-to-left | 6, 2, 4, 2 | 4+2=6 ; 2+6=8 ; 6+8=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 801+217 | d2:1+7+0=8→w8,c0 ; d1:0+1+0=1→w1,c0 ; d0:8+2+0=10→w0,c1 ; sum=1018 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=-48 | 6x-6=-48 ; 6x=-42 ; x=-7 |
list_summation | list_summation:left-to-right | 4, 2, 2, 1 | 4+2=6 ; 6+2=8 ; 8+1=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=-117 | 9x-54=-117 ; x+-6=-13 ; x=-13--6 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 5, 8, 7 | [0,4,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 290+720 | round:290+720=1010 ; adjust:1010-0=1010 ; sum=1010 |
list_summation | list_summation:right-to-left | 7, 1, 3, 9 | 3+9=12 ; 1+12=13 ; 7+13=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 324+864 | d2:4+4+0=8→w8,c0 ; d1:2+6+0=8→w8,c0 ; d0:3+8+0=11→w1,c1 ; sum=1188 |
multidigit_addition | multidigit_addition:left-to-right-partials | 163+593 | p100:100+500=600 ; p10:60+90=150 ; p1:3+3=6 ; sum=600+150+6=756 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=0 | 5x-10=0 ; 5x=10 ; x=2 |
base_conversion | base_conversion:repeated-division | n=99,base=2 | DIV:99/2=49,r:1 ; 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:1100011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 7, 1, 5 | [3,7,9,1,5] ; [3,7,1,9,5] ; [3,7,1,5,9] ; [3,1,7,5,9] ; [3,1,5,7,9] ; [1,3,5,7,9] |
list_summation | list_summation:right-to-left | 0, 7, 4, 5 | 4+5=9 ; 7+9=16 ; 0+16=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=20 | 5x+5=20 ; x=(20-5)/5 ; x=15/5 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=-9 | 9x+72=-9 ; x=(-9-72)/9 ; x=-81/9 ; x=-9 |
list_summation | list_summation:left-to-right | 4, 2, 9, 6 | 4+2=6 ; 6+9=15 ; 15+6=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 7, 0, 6 | [3,8,7,0,6] ; [3,7,8,0,6] ; [0,3,7,8,6] ; [0,3,6,7,8] |
list_summation | list_summation:left-to-right | 0, 4, 7, 4 | 0+4=4 ; 4+7=11 ; 11+4=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 169+840 | d2:9+0+0=9→w9,c0 ; d1:6+4+0=10→w0,c1 ; d0:1+8+1=10→w0,c1 ; sum=1009 |
multidigit_addition | multidigit_addition:right-to-left-carry | 633+746 | d2:3+6+0=9→w9,c0 ; d1:3+4+0=7→w7,c0 ; d0:6+7+0=13→w3,c1 ; sum=1379 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=20 | 4x+24=20 ; x=(20-24)/4 ; x=-4/4 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 884+723 | d2:4+3+0=7→w7,c0 ; d1:8+2+0=10→w0,c1 ; d0:8+7+1=16→w6,c1 ; sum=1607 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 6, 0, 2 | [1,6,8,0,2] ; [1,6,0,8,2] ; [1,6,0,2,8] ; [1,0,6,2,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 8, 0, 7 | [2,8,9,0,7] ; [2,8,0,9,7] ; [2,8,0,7,9] ; [2,0,8,7,9] ; [2,0,7,8,9] ; [0,2,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 7, 0, 3 | [1,6,7,0,3] ; [1,6,0,7,3] ; [1,6,0,3,7] ; [1,0,6,3,7] ; [1,0,3,6,7] ; [0,1,3,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 711+905 | d2:1+5+0=6→w6,c0 ; d1:1+0+0=1→w1,c0 ; d0:7+9+0=16→w6,c1 ; sum=1616 |
list_summation | list_summation:right-to-left | 8, 3, 4, 2 | 4+2=6 ; 3+6=9 ; 8+9=17 |
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