task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 270+278 | round:270+278=548 ; adjust:548-0=548 ; sum=548 |
list_summation | list_summation:pairwise | 9, 0, 7, 1 | 9+0=9 ; 7+1=8 ; 9+8=17 |
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:left-to-right | 2, 6, 3, 7 | 2+6=8 ; 8+3=11 ; 11+7=18 |
base_conversion | base_conversion:repeated-division | n=110,base=16 | DIV:110/16=6,r:14 ; DIV:6/16=0,r:6 ; OUT:6E |
list_summation | list_summation:pairwise | 1, 6, 2, 9 | 1+6=7 ; 2+9=11 ; 7+11=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 378+259 | round:380+259=639 ; adjust:639-2=637 ; sum=637 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 2, 7, 8 | [1,3,2,7,8] ; [1,2,3,7,8] ; [1,2,3,7,8] ; [1,2,3,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 3, 8, 9 | [6,9,3,8,5] ; [9,6,3,8,5] ; [9,8,3,6,5] ; [5,8,3,6,9] ; [8,5,3,6,9] ; [8,6,3,5,9] ; [5,6,3,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 872+936 | d2:2+6+0=8→w8,c0 ; d1:7+3+0=10→w0,c1 ; d0:8+9+1=18→w8,c1 ; sum=1808 |
base_conversion | base_conversion:repeated-division | n=119,base=4 | DIV:119/4=29,r:3 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1313 |
list_summation | list_summation:right-to-left | 5, 8, 0, 7 | 0+7=7 ; 8+7=15 ; 5+15=20 |
list_summation | list_summation:left-to-right | 0, 0, 4, 3 | 0+0=0 ; 0+4=4 ; 4+3=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 656+689 | round:660+689=1349 ; adjust:1349-4=1345 ; sum=1345 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 2, 5, 9 | [0,6,2,5,9] ; [0,2,6,5,9] ; [0,2,5,6,9] ; [0,2,5,6,9] |
list_summation | list_summation:pairwise | 1, 0, 6, 0 | 1+0=1 ; 6+0=6 ; 1+6=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 3, 5, 0 | [4,9,3,5,0] ; [4,3,9,5,0] ; [4,3,5,9,0] ; [4,3,5,0,9] ; [3,4,5,0,9] ; [3,4,0,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=40,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:101000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 4, 0, 3, 1 | [4,8,0,3,1] ; [4,0,8,3,1] ; [4,0,3,8,1] ; [4,0,3,1,8] ; [0,4,3,1,8] ; [0,3,4,1,8] ; [0,3,1,4,8] ; [0,1,3,4,8] |
base_conversion | base_conversion:repeated-division | n=118,base=2 | DIV:118/2=59,r:0 ; DIV:59/2=29,r:1 ; DIV:29/2=14,r:1 ; 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:1110110 |
base_conversion | base_conversion:decomposition | n=231,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:3213 |
multidigit_addition | multidigit_addition:rounding-decomposition | 711+864 | round:720+864=1584 ; adjust:1584-9=1575 ; sum=1575 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-81 | 9x-72=-81 ; x+-8=-9 ; x=-9--8 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 699+119 | d2:9+9+0=18→w8,c1 ; d1:9+1+1=11→w1,c1 ; d0:6+1+1=8→w8,c0 ; sum=818 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 8, 9, 9, 6 | 8+9=17 ; 17+9=26 ; 26+6=32 |
list_summation | list_summation:right-to-left | 7, 4, 0, 8 | 0+8=8 ; 4+8=12 ; 7+12=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 379+377 | round:380+377=757 ; adjust:757-1=756 ; sum=756 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=44 | 4x+8=44 ; x+2=11 ; x=11-2 ; x=9 |
list_summation | list_summation:left-to-right | 1, 5, 9, 8 | 1+5=6 ; 6+9=15 ; 15+8=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
list_summation | list_summation:pairwise | 6, 6, 4, 0 | 6+6=12 ; 4+0=4 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 4, 1, 8 | [3,9,4,1,8] ; [3,9,1,4,8] ; [1,3,4,9,8] ; [1,3,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 2, 0, 3 | [1,5,2,0,3] ; [1,2,5,0,3] ; [1,2,0,5,3] ; [1,2,0,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 4, 9, 7 | [1,2,4,9,7] ; [1,2,4,9,7] ; [1,2,4,9,7] ; [1,2,4,7,9] |
base_conversion | base_conversion:via-binary | n=33,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:1 ; OUT:41 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=81 | 9x+27=81 ; x+3=9 ; x=9-3 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 591+259 | round:600+259=859 ; adjust:859-9=850 ; sum=850 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 0, 1, 9, 6 | [0,5,1,9,6] ; [0,1,5,9,6] ; [0,1,5,9,6] ; [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 7, 6, 4 | [3,9,7,6,4] ; [3,4,7,6,9] ; [3,4,6,7,9] ; [3,4,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 368+793 | p100:300+700=1000 ; p10:60+90=150 ; p1:8+3=11 ; sum=1000+150+11=1161 |
base_conversion | base_conversion:repeated-division | n=96,base=2 | DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; 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:1100000 |
base_conversion | base_conversion:via-binary | n=188,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:4 ; OUT:274 |
list_summation | list_summation:pairwise | 8, 7, 2, 7 | 8+7=15 ; 2+7=9 ; 15+9=24 |
base_conversion | base_conversion:decomposition | n=95,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:137 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,5) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 5, 7, 0 | [2,9,5,7,0] ; [2,5,7,9,0] ; [0,2,5,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 3, 5, 7, 1 | [3,8,5,7,1] ; [3,5,7,8,1] ; [1,3,5,7,8] |
list_summation | list_summation:left-to-right | 1, 0, 3, 1 | 1+0=1 ; 1+3=4 ; 4+1=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=10 | 5x-15=10 ; x+-3=2 ; x=2--3 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=45 | 9x+81=45 ; x+9=5 ; x=5-9 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=214,base=8 | DIV:214/8=26,r:6 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:326 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 9, 0, 3 | [1,7,0,9,3] ; [1,7,0,3,9] ; [1,0,7,3,9] ; [1,0,3,7,9] ; [0,1,3,7,9] |
list_summation | list_summation:left-to-right | 8, 5, 7, 5 | 8+5=13 ; 13+7=20 ; 20+5=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 9, 0, 9, 2 | 9+0=9 ; 9+9=18 ; 18+2=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 3, 0, 9 | [5,8,3,0,9] ; [5,8,0,3,9] ; [0,3,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 9, 7, 7, 8 | 9+7=16 ; 16+7=23 ; 23+8=31 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=21 | 3x+15=21 ; x=(21-15)/3 ; x=6/3 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 664+792 | p100:600+700=1300 ; p10:60+90=150 ; p1:4+2=6 ; sum=1300+150+6=1456 |
multidigit_addition | multidigit_addition:rounding-decomposition | 327+885 | round:330+885=1215 ; adjust:1215-3=1212 ; sum=1212 |
base_conversion | base_conversion:decomposition | n=102,base=16 | TERM:6*16^1=96 ; TERM:6*16^0=6 ; OUT:66 |
base_conversion | base_conversion:via-binary | n=241,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3301 |
list_summation | list_summation:left-to-right | 4, 2, 8, 5 | 4+2=6 ; 6+8=14 ; 14+5=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=7 | 7x+7=7 ; 7x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 813+200 | round:820+200=1020 ; adjust:1020-7=1013 ; sum=1013 |
multidigit_addition | multidigit_addition:right-to-left-carry | 448+700 | d2:8+0+0=8→w8,c0 ; d1:4+0+0=4→w4,c0 ; d0:4+7+0=11→w1,c1 ; sum=1148 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-30 | 6x+6=-30 ; x+1=-5 ; x=-5-1 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 5, 0, 2 | [4,9,5,0,2] ; [4,9,0,5,2] ; [0,4,5,9,2] ; [0,2,4,5,9] |
base_conversion | base_conversion:repeated-division | n=146,base=2 | DIV:146/2=73,r:0 ; DIV:73/2=36,r:1 ; DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010010 |
base_conversion | base_conversion:repeated-division | n=211,base=4 | DIV:211/4=52,r:3 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3103 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 0, 6, 9 | [1,3,0,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=187,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:273 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
list_summation | list_summation:right-to-left | 0, 0, 2, 2 | 2+2=4 ; 0+4=4 ; 0+4=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 756+696 | d2:6+6+0=12→w2,c1 ; d1:5+9+1=15→w5,c1 ; d0:7+6+1=14→w4,c1 ; sum=1452 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
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, 6, 4, 2 | 4+2=6 ; 6+6=12 ; 1+12=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 0, 9, 4, 6 | [0,2,9,4,6] ; [0,2,4,9,6] ; [0,2,4,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 743+507 | d2:3+7+0=10→w0,c1 ; d1:4+0+1=5→w5,c0 ; d0:7+5+0=12→w2,c1 ; sum=1250 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 3, 8, 9 | [2,5,3,8,9] ; [2,3,5,8,9] ; [2,3,5,8,9] ; [2,3,5,8,9] |
list_summation | list_summation:left-to-right | 3, 9, 8, 6 | 3+9=12 ; 12+8=20 ; 20+6=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 291+538 | d2:1+8+0=9→w9,c0 ; d1:9+3+0=12→w2,c1 ; d0:2+5+1=8→w8,c0 ; sum=829 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 1, 9, 2 | [0,6,1,9,2] ; [0,1,6,9,2] ; [0,1,2,6,9] |
base_conversion | base_conversion:via-binary | n=154,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:232 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; R:(1,3) ; D:(2,3) |
base_conversion | base_conversion:repeated-division | n=137,base=16 | DIV:137/16=8,r:9 ; DIV:8/16=0,r:8 ; OUT:89 |
base_conversion | base_conversion:decomposition | n=18,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:102 |
multidigit_addition | multidigit_addition:right-to-left-carry | 819+366 | d2:9+6+0=15→w5,c1 ; d1:1+6+1=8→w8,c0 ; d0:8+3+0=11→w1,c1 ; sum=1185 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 3, 5, 0 | [0,7,3,5,8] ; [0,3,7,5,8] ; [0,3,5,7,8] ; [0,3,5,7,8] |
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