task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 8, 4, 6, 5 | 8+4=12 ; 12+6=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 838+791 | p100:800+700=1500 ; p10:30+90=120 ; p1:8+1=9 ; sum=1500+120+9=1629 |
list_summation | list_summation:right-to-left | 8, 8, 8, 1 | 8+1=9 ; 8+9=17 ; 8+17=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 794+648 | d2:4+8+0=12→w2,c1 ; d1:9+4+1=14→w4,c1 ; d0:7+6+1=14→w4,c1 ; sum=1442 |
multidigit_addition | multidigit_addition:rounding-decomposition | 423+366 | round:430+366=796 ; adjust:796-7=789 ; sum=789 |
multidigit_addition | multidigit_addition:rounding-decomposition | 369+298 | round:370+298=668 ; adjust:668-1=667 ; sum=667 |
multidigit_addition | multidigit_addition:right-to-left-carry | 760+892 | d2:0+2+0=2→w2,c0 ; d1:6+9+0=15→w5,c1 ; d0:7+8+1=16→w6,c1 ; sum=1652 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 1, 0, 8 | [4,1,7,0,8] ; [4,1,0,7,8] ; [1,4,0,7,8] ; [1,0,4,7,8] ; [0,1,4,7,8] |
list_summation | list_summation:left-to-right | 6, 8, 9, 4 | 6+8=14 ; 14+9=23 ; 23+4=27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 451+748 | d2:1+8+0=9→w9,c0 ; d1:5+4+0=9→w9,c0 ; d0:4+7+0=11→w1,c1 ; sum=1199 |
base_conversion | base_conversion:decomposition | n=10,base=4 | TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:22 |
list_summation | list_summation:pairwise | 8, 0, 8, 8 | 8+0=8 ; 8+8=16 ; 8+16=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=48 | 8x+24=48 ; 8x=24 ; x=3 |
list_summation | list_summation:pairwise | 6, 3, 0, 6 | 6+3=9 ; 0+6=6 ; 9+6=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 7, 5, 9 | [1,8,7,5,9] ; [1,5,7,8,9] ; [1,5,7,8,9] ; [1,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=12 | 6x+0=12 ; 6x=12 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 2, 3, 8 | [6,8,2,3,7] ; [8,6,2,3,7] ; [8,7,2,3,6] ; [6,7,2,3,8] ; [7,6,2,3,8] ; [3,6,2,7,8] ; [6,3,2,7,8] ; [2,3,6,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 899+171 | d2:9+1+0=10→w0,c1 ; d1:9+7+1=17→w7,c1 ; d0:8+1+1=10→w0,c1 ; sum=1070 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 5, 0, 7 | [3,6,5,0,7] ; [3,5,6,0,7] ; [0,3,5,6,7] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=8 | 8x+24=8 ; x=(8-24)/8 ; x=-16/8 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=249,base=4 | DIV:249/4=62,r:1 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3321 |
list_summation | list_summation:left-to-right | 7, 8, 6, 2 | 7+8=15 ; 15+6=21 ; 21+2=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-56=-42 | 7x-56=-42 ; 7x=14 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=108 | 9x+81=108 ; x=(108-81)/9 ; x=27/9 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 704+817 | p100:700+800=1500 ; p10:0+10=10 ; p1:4+7=11 ; sum=1500+10+11=1521 |
list_summation | list_summation:right-to-left | 6, 8, 0, 2 | 0+2=2 ; 8+2=10 ; 6+10=16 |
base_conversion | base_conversion:decomposition | n=113,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:1*8^0=1 ; OUT:161 |
base_conversion | base_conversion:repeated-division | n=50,base=4 | DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:302 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 1, 7, 0 | [2,8,1,7,0] ; [1,2,7,8,0] ; [0,1,2,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 2, 3, 7 | [2,5,4,3,7] ; [2,3,4,5,7] ; [2,3,4,5,7] ; [2,3,4,5,7] |
base_conversion | base_conversion:via-binary | n=209,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:1 ; OUT:D1 |
list_summation | list_summation:pairwise | 1, 3, 6, 9 | 1+3=4 ; 6+9=15 ; 4+15=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 986+465 | p100:900+400=1300 ; p10:80+60=140 ; p1:6+5=11 ; sum=1300+140+11=1451 |
base_conversion | base_conversion:via-binary | n=44,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
base_conversion | base_conversion:via-binary | n=89,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1011001 |
list_summation | list_summation:pairwise | 2, 9, 2, 9 | 2+9=11 ; 2+9=11 ; 11+11=22 |
base_conversion | base_conversion:repeated-division | n=59,base=4 | DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:323 |
base_conversion | base_conversion:repeated-division | n=69,base=2 | DIV:69/2=34,r:1 ; 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:1000101 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=-40 | 4x-4=-40 ; x+-1=-10 ; x=-10--1 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 479+929 | d2:9+9+0=18→w8,c1 ; d1:7+2+1=10→w0,c1 ; d0:4+9+1=14→w4,c1 ; sum=1408 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 5, 6, 4, 1 | 4+1=5 ; 6+5=11 ; 5+11=16 |
list_summation | list_summation:right-to-left | 3, 1, 7, 0 | 7+0=7 ; 1+7=8 ; 3+8=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 5, 1, 5, 7 | 5+1=6 ; 5+7=12 ; 6+12=18 |
list_summation | list_summation:pairwise | 8, 8, 9, 5 | 8+8=16 ; 9+5=14 ; 16+14=30 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=28 | 7x+21=28 ; 7x=7 ; x=1 |
base_conversion | base_conversion:via-binary | n=207,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:15 ; OUT:CF |
multidigit_addition | multidigit_addition:right-to-left-carry | 461+356 | d2:1+6+0=7→w7,c0 ; d1:6+5+0=11→w1,c1 ; d0:4+3+1=8→w8,c0 ; sum=817 |
base_conversion | base_conversion:via-binary | n=136,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2020 |
base_conversion | base_conversion:via-binary | n=5,base=2 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 0, 8, 3 | [0,4,7,8,3] ; [0,3,7,8,4] ; [0,3,4,8,7] ; [0,3,4,7,8] |
list_summation | list_summation:pairwise | 5, 9, 4, 7 | 5+9=14 ; 4+7=11 ; 14+11=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 240+935 | d2:0+5+0=5→w5,c0 ; d1:4+3+0=7→w7,c0 ; d0:2+9+0=11→w1,c1 ; sum=1175 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-45 | 9x-54=-45 ; 9x=9 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-26 | 2x-10=-26 ; x=(-26--10)/2 ; x=-16/2 ; x=-8 |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 800+346 | d2:0+6+0=6→w6,c0 ; d1:0+4+0=4→w4,c0 ; d0:8+3+0=11→w1,c1 ; sum=1146 |
base_conversion | base_conversion:repeated-division | n=133,base=16 | DIV:133/16=8,r:5 ; DIV:8/16=0,r:8 ; OUT:85 |
base_conversion | base_conversion:decomposition | n=211,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3103 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 4, 3, 9 | [5,7,4,3,9] ; [5,7,3,4,9] ; [3,4,5,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=-12 | 3x+0=-12 ; x+0=-4 ; x=-4-0 ; x=-4 |
list_summation | list_summation:right-to-left | 1, 1, 6, 0 | 6+0=6 ; 1+6=7 ; 1+7=8 |
base_conversion | base_conversion:via-binary | n=133,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:2011 |
base_conversion | base_conversion:decomposition | n=14,base=16 | TERM:14*16^0=14 ; OUT:E |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-20=8 | 4x-20=8 ; 4x=28 ; x=7 |
list_summation | list_summation:pairwise | 9, 9, 4, 4 | 9+9=18 ; 4+4=8 ; 18+8=26 |
list_summation | list_summation:pairwise | 0, 7, 4, 9 | 0+7=7 ; 4+9=13 ; 7+13=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 109+155 | d2:9+5+0=14→w4,c1 ; d1:0+5+1=6→w6,c0 ; d0:1+1+0=2→w2,c0 ; sum=264 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 9, 1, 6 | [0,7,9,1,6] ; [0,1,9,7,6] ; [0,1,6,7,9] ; [0,1,6,7,9] |
list_summation | list_summation:pairwise | 9, 1, 9, 1 | 9+1=10 ; 9+1=10 ; 10+10=20 |
base_conversion | base_conversion:repeated-division | n=154,base=8 | DIV:154/8=19,r:2 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:232 |
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:selection-sort | 8, 6, 0, 1, 2 | [0,6,8,1,2] ; [0,1,8,6,2] ; [0,1,2,6,8] ; [0,1,2,6,8] |
list_summation | list_summation:left-to-right | 6, 6, 6, 5 | 6+6=12 ; 12+6=18 ; 18+5=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=12 | 6x-12=12 ; 6x=24 ; x=4 |
base_conversion | base_conversion:via-binary | n=85,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:5 ; OUT:55 |
list_summation | list_summation:left-to-right | 1, 5, 7, 0 | 1+5=6 ; 6+7=13 ; 13+0=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 8, 1, 0 | [3,4,8,1,0] ; [3,4,8,1,0] ; [1,3,4,8,0] ; [0,1,3,4,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=82,base=16 | DIV:82/16=5,r:2 ; DIV:5/16=0,r:5 ; OUT:52 |
base_conversion | base_conversion:repeated-division | n=227,base=16 | DIV:227/16=14,r:3 ; DIV:14/16=0,r:14 ; OUT:E3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-72 | 8x-48=-72 ; 8x=-24 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 2, 0, 7, 3 | [5,7,0,2,3] ; [7,5,0,2,3] ; [3,5,0,2,7] ; [5,3,0,2,7] ; [2,3,0,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=-8 | 4x-28=-8 ; x=(-8--28)/4 ; x=20/4 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 0, 6, 8 | [0,3,4,6,8] ; [0,3,4,6,8] ; [0,3,4,6,8] ; [0,3,4,6,8] |
base_conversion | base_conversion:repeated-division | n=209,base=16 | DIV:209/16=13,r:1 ; DIV:13/16=0,r:13 ; OUT:D1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=8 | 8x+72=8 ; x=(8-72)/8 ; x=-64/8 ; x=-8 |
list_summation | list_summation:left-to-right | 6, 8, 7, 6 | 6+8=14 ; 14+7=21 ; 21+6=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 787+618 | d2:7+8+0=15→w5,c1 ; d1:8+1+1=10→w0,c1 ; d0:7+6+1=14→w4,c1 ; sum=1405 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 8, 4, 0 | [1,9,8,4,0] ; [1,8,9,4,0] ; [1,4,8,9,0] ; [0,1,4,8,9] |
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