task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 5, 7, 1 | [4,8,5,7,1] ; [4,5,8,7,1] ; [4,5,7,8,1] ; [1,4,5,7,8] |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=-6 | 6x+6=-6 ; 6x=-12 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 845+515 | round:850+515=1365 ; adjust:1365-5=1360 ; sum=1360 |
multidigit_addition | multidigit_addition:rounding-decomposition | 908+913 | round:910+913=1823 ; adjust:1823-2=1821 ; sum=1821 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 4, 6, 7, 0 | [4,5,6,7,0] ; [4,5,6,0,7] ; [4,5,0,6,7] ; [4,0,5,6,7] ; [0,4,5,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 3, 7, 8 | [6,8,3,7,0] ; [8,6,3,7,0] ; [8,7,3,6,0] ; [0,7,3,6,8] ; [7,0,3,6,8] ; [7,6,3,0,8] ; [0,6,3,7,8] ; [6,0,3,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8] |
list_summation | list_summation:pairwise | 1, 9, 0, 2 | 1+9=10 ; 0+2=2 ; 10+2=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=30 | 3x+21=30 ; x+7=10 ; x=10-7 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 744+125 | d2:4+5+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:7+1+0=8→w8,c0 ; sum=869 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=40 | 4x+16=40 ; 4x=24 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 694+993 | p100:600+900=1500 ; p10:90+90=180 ; p1:4+3=7 ; sum=1500+180+7=1687 |
list_summation | list_summation:right-to-left | 8, 3, 3, 1 | 3+1=4 ; 3+4=7 ; 8+7=15 |
base_conversion | base_conversion:via-binary | n=110,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1101110 |
base_conversion | base_conversion:via-binary | n=51,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 3, 7, 2 | [1,4,3,7,2] ; [1,2,3,7,4] ; [1,2,3,7,4] ; [1,2,3,4,7] |
list_summation | list_summation:left-to-right | 9, 6, 4, 7 | 9+6=15 ; 15+4=19 ; 19+7=26 |
list_summation | list_summation:pairwise | 2, 2, 5, 2 | 2+2=4 ; 5+2=7 ; 4+7=11 |
base_conversion | base_conversion:repeated-division | n=117,base=4 | DIV:117/4=29,r:1 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1311 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=40 | 8x+24=40 ; x=(40-24)/8 ; x=16/8 ; x=2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 9, 2, 1, 6 | 1+6=7 ; 2+7=9 ; 9+9=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 9, 7, 8, 4 | 9+7=16 ; 8+4=12 ; 16+12=28 |
base_conversion | base_conversion:via-binary | n=126,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:6 ; OUT:176 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=30 | 2x+16=30 ; x=(30-16)/2 ; x=14/2 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 783+637 | round:790+637=1427 ; adjust:1427-7=1420 ; sum=1420 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 1, 7, 2 | [0,7,1,4,2] ; [7,0,1,4,2] ; [7,4,1,0,2] ; [2,4,1,0,7] ; [4,2,1,0,7] ; [0,2,1,4,7] ; [2,0,1,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-14 | 7x-63=-14 ; x+-9=-2 ; x=-2--9 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,4) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 3, 2, 4 | [0,6,3,2,4] ; [0,2,3,6,4] ; [0,2,3,6,4] ; [0,2,3,4,6] |
base_conversion | base_conversion:repeated-division | n=60,base=16 | DIV:60/16=3,r:12 ; DIV:3/16=0,r:3 ; OUT:3C |
list_summation | list_summation:pairwise | 8, 1, 7, 1 | 8+1=9 ; 7+1=8 ; 9+8=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 7, 1, 3 | [1,2,7,4,3] ; [1,2,7,4,3] ; [1,2,3,4,7] ; [1,2,3,4,7] |
list_summation | list_summation:right-to-left | 9, 2, 7, 0 | 7+0=7 ; 2+7=9 ; 9+9=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 9, 5, 2 | [4,8,9,5,2] ; [4,8,5,9,2] ; [4,5,8,9,2] ; [2,4,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-63=-63 | 7x-63=-63 ; 7x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=135 | 9x+54=135 ; x=(135-54)/9 ; x=81/9 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 7, 8, 0, 2 | 0+2=2 ; 8+2=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 273+125 | p100:200+100=300 ; p10:70+20=90 ; p1:3+5=8 ; sum=300+90+8=398 |
multidigit_addition | multidigit_addition:rounding-decomposition | 503+233 | round:510+233=743 ; adjust:743-7=736 ; sum=736 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-40 | 5x-45=-40 ; 5x=5 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=44 | 4x+32=44 ; x=(44-32)/4 ; x=12/4 ; x=3 |
list_summation | list_summation:left-to-right | 9, 4, 7, 5 | 9+4=13 ; 13+7=20 ; 20+5=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-16 | 8x-48=-16 ; x=(-16--48)/8 ; x=32/8 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=10 | 5x+10=10 ; x+2=2 ; x=2-2 ; x=0 |
list_summation | list_summation:pairwise | 6, 0, 3, 2 | 6+0=6 ; 3+2=5 ; 6+5=11 |
base_conversion | base_conversion:repeated-division | n=223,base=16 | DIV:223/16=13,r:15 ; DIV:13/16=0,r:13 ; OUT:DF |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 9, 7, 5, 0 | [9,6,7,5,0] ; [0,6,7,5,9] ; [7,6,0,5,9] ; [5,6,0,7,9] ; [6,5,0,7,9] ; [0,5,6,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=48 | 4x+12=48 ; 4x=36 ; x=9 |
list_summation | list_summation:right-to-left | 4, 7, 7, 3 | 7+3=10 ; 7+10=17 ; 4+17=21 |
base_conversion | base_conversion:repeated-division | n=135,base=16 | DIV:135/16=8,r:7 ; DIV:8/16=0,r:8 ; OUT:87 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-6 | 2x-6=-6 ; x+-3=-3 ; x=-3--3 ; x=0 |
base_conversion | base_conversion:repeated-division | n=99,base=16 | DIV:99/16=6,r:3 ; DIV:6/16=0,r:6 ; OUT:63 |
multidigit_addition | multidigit_addition:left-to-right-partials | 315+168 | p100:300+100=400 ; p10:10+60=70 ; p1:5+8=13 ; sum=400+70+13=483 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 8, 1, 5, 7 | 5+7=12 ; 1+12=13 ; 8+13=21 |
list_summation | list_summation:left-to-right | 7, 5, 4, 2 | 7+5=12 ; 12+4=16 ; 16+2=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 2, 4, 8 | [2,6,5,4,8] ; [2,4,5,6,8] ; [2,4,5,6,8] ; [2,4,5,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 0, 4, 6 | [2,3,0,4,6] ; [0,2,3,4,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 0, 6, 2 | [1,4,0,6,2] ; [1,0,4,6,2] ; [1,0,4,2,6] ; [0,1,4,2,6] ; [0,1,2,4,6] |
base_conversion | base_conversion:via-binary | n=233,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:9 ; OUT:E9 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 3, 9, 0 | [1,6,3,9,0] ; [1,3,6,9,0] ; [0,1,3,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=44 | 4x+20=44 ; x+5=11 ; x=11-5 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-27=-27 | 9x-27=-27 ; 9x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 0, 2, 5 | [5,7,0,2,9] ; [7,5,0,2,9] ; [2,5,0,7,9] ; [5,2,0,7,9] ; [0,2,5,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
list_summation | list_summation:right-to-left | 1, 6, 5, 9 | 5+9=14 ; 6+14=20 ; 1+20=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 892+880 | round:900+880=1780 ; adjust:1780-8=1772 ; sum=1772 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 6, 0, 2 | [0,1,6,5,2] ; [0,1,6,5,2] ; [0,1,2,5,6] ; [0,1,2,5,6] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 1, 4, 8 | [1,2,6,4,8] ; [1,2,6,4,8] ; [1,2,4,6,8] ; [1,2,4,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 6, 0, 9 | [1,5,6,0,9] ; [1,5,6,0,9] ; [0,1,5,6,9] ; [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 0, 4, 8, 3 | [0,9,4,8,3] ; [0,3,4,8,9] ; [0,3,4,8,9] ; [0,3,4,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 609+444 | round:610+444=1054 ; adjust:1054-1=1053 ; sum=1053 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 0, 3, 1 | [0,3,7,9,1] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=183,base=8 | DIV:183/8=22,r:7 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:267 |
multidigit_addition | multidigit_addition:rounding-decomposition | 401+124 | round:410+124=534 ; adjust:534-9=525 ; sum=525 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=-16 | 8x+16=-16 ; 8x=-32 ; x=-4 |
base_conversion | base_conversion:decomposition | n=108,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1230 |
base_conversion | base_conversion:repeated-division | n=172,base=16 | DIV:172/16=10,r:12 ; DIV:10/16=0,r:10 ; OUT:AC |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 2, 1, 9 | [5,8,2,1,9] ; [5,8,1,2,9] ; [1,2,5,8,9] |
list_summation | list_summation:left-to-right | 8, 8, 0, 4 | 8+8=16 ; 16+0=16 ; 16+4=20 |
list_summation | list_summation:right-to-left | 6, 6, 8, 4 | 8+4=12 ; 6+12=18 ; 6+18=24 |
list_summation | list_summation:left-to-right | 7, 0, 9, 2 | 7+0=7 ; 7+9=16 ; 16+2=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 0, 7, 3, 9 | [0,5,7,3,9] ; [0,5,3,7,9] ; [0,3,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 997+830 | round:1000+830=1830 ; adjust:1830-3=1827 ; sum=1827 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 8, 2, 5 | [4,6,8,2,5] ; [4,6,8,2,5] ; [2,4,6,8,5] ; [2,4,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 2, 5, 1, 0 | 1+0=1 ; 5+1=6 ; 2+6=8 |
list_summation | list_summation:left-to-right | 1, 9, 3, 5 | 1+9=10 ; 10+3=13 ; 13+5=18 |
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