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 | 1, 7, 5, 0 | 1+7=8 ; 8+5=13 ; 13+0=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 5, 8, 3 | [0,2,5,8,3] ; [0,2,5,8,3] ; [0,2,3,8,5] ; [0,2,3,5,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 8, 2, 4 | [5,9,8,2,4] ; [5,8,9,2,4] ; [2,5,8,9,4] ; [2,4,5,8,9] |
list_summation | list_summation:left-to-right | 0, 0, 3, 4 | 0+0=0 ; 0+3=3 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 0, 4, 9 | [3,5,0,4,9] ; [0,3,4,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 0, 8, 6 | [5,8,0,4,6] ; [8,5,0,4,6] ; [8,6,0,4,5] ; [5,6,0,4,8] ; [6,5,0,4,8] ; [4,5,0,6,8] ; [5,4,0,6,8] ; [0,4,5,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
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) |
list_summation | list_summation:pairwise | 1, 7, 9, 4 | 1+7=8 ; 9+4=13 ; 8+13=21 |
base_conversion | base_conversion:via-binary | n=215,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11010111 |
base_conversion | base_conversion:via-binary | n=239,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11101111 |
list_summation | list_summation:left-to-right | 6, 8, 7, 9 | 6+8=14 ; 14+7=21 ; 21+9=30 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=30 | 5x+35=30 ; x=(30-35)/5 ; x=-5/5 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=64 | 8x+16=64 ; x=(64-16)/8 ; x=48/8 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | 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 | 880+579 | d2:0+9+0=9→w9,c0 ; d1:8+7+0=15→w5,c1 ; d0:8+5+1=14→w4,c1 ; sum=1459 |
multidigit_addition | multidigit_addition:rounding-decomposition | 666+647 | round:670+647=1317 ; adjust:1317-4=1313 ; sum=1313 |
list_summation | list_summation:pairwise | 7, 0, 6, 8 | 7+0=7 ; 6+8=14 ; 7+14=21 |
base_conversion | base_conversion:decomposition | n=119,base=16 | TERM:7*16^1=112 ; TERM:7*16^0=7 ; OUT:77 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 7, 8, 2 | [3,6,7,8,2] ; [3,6,7,8,2] ; [3,6,7,8,2] ; [2,3,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 227+368 | round:230+368=598 ; adjust:598-3=595 ; sum=595 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=30 | 3x+15=30 ; x+5=10 ; x=10-5 ; x=5 |
list_summation | list_summation:pairwise | 2, 9, 8, 3 | 2+9=11 ; 8+3=11 ; 11+11=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 400+524 | round:400+524=924 ; adjust:924-0=924 ; sum=924 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-42 | 7x-35=-42 ; x=(-42--35)/7 ; x=-7/7 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=32 | 8x+64=32 ; x+8=4 ; x=4-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+42=7 | 7x+42=7 ; x=(7-42)/7 ; x=-35/7 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=49,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:110001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 321+470 | round:330+470=800 ; adjust:800-9=791 ; sum=791 |
multidigit_addition | multidigit_addition:left-to-right-partials | 711+920 | p100:700+900=1600 ; p10:10+20=30 ; p1:1+0=1 ; sum=1600+30+1=1631 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=24 | 2x+8=24 ; x=(24-8)/2 ; x=16/2 ; x=8 |
list_summation | list_summation:pairwise | 8, 9, 1, 3 | 8+9=17 ; 1+3=4 ; 17+4=21 |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 176+988 | round:180+988=1168 ; adjust:1168-4=1164 ; sum=1164 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:decomposition | n=6,base=8 | TERM:6*8^0=6 ; OUT:6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-26 | 2x-10=-26 ; x+-5=-13 ; x=-13--5 ; x=-8 |
list_summation | list_summation:right-to-left | 5, 9, 5, 9 | 5+9=14 ; 9+14=23 ; 5+23=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 4, 8, 2 | [1,4,7,8,2] ; [1,2,4,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 6, 5, 0 | [3,8,5,6,0] ; [3,5,6,8,0] ; [0,3,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 459+274 | p100:400+200=600 ; p10:50+70=120 ; p1:9+4=13 ; sum=600+120+13=733 |
list_summation | list_summation:pairwise | 8, 0, 7, 6 | 8+0=8 ; 7+6=13 ; 8+13=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=115,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1303 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=63 | 7x+0=63 ; x+0=9 ; x=9-0 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-48 | 8x-72=-48 ; x+-9=-6 ; x=-6--9 ; x=3 |
base_conversion | base_conversion:via-binary | n=87,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1010111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 3, 6, 8 | [2,4,3,6,8] ; [2,3,4,6,8] ; [2,3,4,6,8] ; [2,3,4,6,8] |
list_summation | list_summation:left-to-right | 7, 0, 0, 8 | 7+0=7 ; 7+0=7 ; 7+8=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,3) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:right-to-left | 4, 2, 8, 7 | 8+7=15 ; 2+15=17 ; 4+17=21 |
list_summation | list_summation:pairwise | 2, 7, 1, 2 | 2+7=9 ; 1+2=3 ; 9+3=12 |
list_summation | list_summation:left-to-right | 9, 8, 5, 4 | 9+8=17 ; 17+5=22 ; 22+4=26 |
list_summation | list_summation:right-to-left | 8, 2, 6, 2 | 6+2=8 ; 2+8=10 ; 8+10=18 |
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) |
list_summation | list_summation:right-to-left | 1, 3, 1, 3 | 1+3=4 ; 3+4=7 ; 1+7=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:right-to-left | 4, 0, 4, 4 | 4+4=8 ; 0+8=8 ; 4+8=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 1, 5, 6 | [3,6,1,5,2] ; [6,3,1,5,2] ; [6,5,1,3,2] ; [2,5,1,3,6] ; [5,2,1,3,6] ; [5,3,1,2,6] ; [2,3,1,5,6] ; [3,2,1,5,6] ; [1,2,3,5,6] ; [2,1,3,5,6] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 3, 7, 0 | [5,6,3,7,0] ; [3,5,6,7,0] ; [0,3,5,6,7] |
base_conversion | base_conversion:via-binary | n=154,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:10 ; OUT:9A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-18 | 9x+9=-18 ; x=(-18-9)/9 ; x=-27/9 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 476+321 | d2:6+1+0=7→w7,c0 ; d1:7+2+0=9→w9,c0 ; d0:4+3+0=7→w7,c0 ; sum=797 |
list_summation | list_summation:pairwise | 8, 4, 7, 7 | 8+4=12 ; 7+7=14 ; 12+14=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 688+457 | d2:8+7+0=15→w5,c1 ; d1:8+5+1=14→w4,c1 ; d0:6+4+1=11→w1,c1 ; sum=1145 |
base_conversion | base_conversion:repeated-division | n=201,base=16 | DIV:201/16=12,r:9 ; DIV:12/16=0,r:12 ; OUT:C9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 7, 1, 8 | [4,9,7,1,8] ; [4,9,1,7,8] ; [1,4,7,9,8] ; [1,4,7,8,9] |
base_conversion | base_conversion:via-binary | n=178,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:2 ; OUT:B2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 356+861 | d2:6+1+0=7→w7,c0 ; d1:5+6+0=11→w1,c1 ; d0:3+8+1=12→w2,c1 ; sum=1217 |
base_conversion | base_conversion:decomposition | n=92,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:134 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-18 | 6x-48=-18 ; x=(-18--48)/6 ; x=30/6 ; x=5 |
list_summation | list_summation:pairwise | 9, 4, 5, 1 | 9+4=13 ; 5+1=6 ; 13+6=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 679+508 | round:680+508=1188 ; adjust:1188-1=1187 ; sum=1187 |
list_summation | list_summation:right-to-left | 2, 3, 3, 5 | 3+5=8 ; 3+8=11 ; 2+11=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 6, 4, 1 | [8,6,9,4,1] ; [8,6,4,9,1] ; [8,6,4,1,9] ; [6,8,4,1,9] ; [6,4,8,1,9] ; [6,4,1,8,9] ; [4,6,1,8,9] ; [4,1,6,8,9] ; [1,4,6,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 3, 5, 1 | [1,4,3,5,2] ; [1,2,3,5,4] ; [1,2,3,5,4] ; [1,2,3,4,5] |
base_conversion | base_conversion:repeated-division | n=236,base=8 | DIV:236/8=29,r:4 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:354 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=0 | 8x+56=0 ; x=(0-56)/8 ; x=-56/8 ; x=-7 |
base_conversion | base_conversion:via-binary | n=61,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:5 ; OUT:75 |
list_summation | list_summation:left-to-right | 8, 3, 3, 8 | 8+3=11 ; 11+3=14 ; 14+8=22 |
base_conversion | base_conversion:via-binary | n=41,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:101001 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 6, 9, 7 | [8,9,6,2,7] ; [9,8,6,2,7] ; [7,8,6,2,9] ; [8,7,6,2,9] ; [2,7,6,8,9] ; [7,2,6,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=216,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:330 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 2, 9, 6 | [1,7,2,9,6] ; [1,2,7,9,6] ; [1,2,7,9,6] ; [1,2,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=70 | 7x+21=70 ; 7x=49 ; x=7 |
list_summation | list_summation:left-to-right | 3, 4, 4, 5 | 3+4=7 ; 7+4=11 ; 11+5=16 |
base_conversion | base_conversion:decomposition | n=191,base=16 | TERM:11*16^1=176 ; TERM:15*16^0=15 ; OUT:BF |
base_conversion | base_conversion:via-binary | n=49,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:1 ; OUT:61 |
list_summation | list_summation:right-to-left | 7, 0, 7, 6 | 7+6=13 ; 0+13=13 ; 7+13=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
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