task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=192,base=8 | DIV:192/8=24,r:0 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:300 |
multidigit_addition | multidigit_addition:right-to-left-carry | 668+813 | d2:8+3+0=11→w1,c1 ; d1:6+1+1=8→w8,c0 ; d0:6+8+0=14→w4,c1 ; sum=1481 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-70 | 5x-35=-70 ; x+-7=-14 ; x=-14--7 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 881+678 | d2:1+8+0=9→w9,c0 ; d1:8+7+0=15→w5,c1 ; d0:8+6+1=15→w5,c1 ; sum=1559 |
list_summation | list_summation:right-to-left | 9, 5, 7, 4 | 7+4=11 ; 5+11=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 125+412 | d2:5+2+0=7→w7,c0 ; d1:2+1+0=3→w3,c0 ; d0:1+4+0=5→w5,c0 ; sum=537 |
base_conversion | base_conversion:via-binary | n=235,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11101011 |
base_conversion | base_conversion:via-binary | n=162,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10100010 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 5, 2, 4 | [9,4,5,2,0] ; [0,4,5,2,9] ; [5,4,0,2,9] ; [2,4,0,5,9] ; [4,2,0,5,9] ; [0,2,4,5,9] ; [2,0,4,5,9] ; [0,2,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 821+669 | round:830+669=1499 ; adjust:1499-9=1490 ; sum=1490 |
list_summation | list_summation:left-to-right | 2, 1, 5, 3 | 2+1=3 ; 3+5=8 ; 8+3=11 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 1, 2, 5 | [1,7,4,2,5] ; [1,2,4,7,5] ; [1,2,4,7,5] ; [1,2,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 642+459 | round:650+459=1109 ; adjust:1109-8=1101 ; sum=1101 |
list_summation | list_summation:left-to-right | 6, 9, 7, 8 | 6+9=15 ; 15+7=22 ; 22+8=30 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 8, 7, 5 | [4,6,7,8,5] ; [4,6,7,5,8] ; [4,6,5,7,8] ; [4,5,6,7,8] |
base_conversion | base_conversion:via-binary | n=158,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:2132 |
list_summation | list_summation:right-to-left | 0, 1, 5, 5 | 5+5=10 ; 1+10=11 ; 0+11=11 |
list_summation | list_summation:left-to-right | 6, 7, 9, 3 | 6+7=13 ; 13+9=22 ; 22+3=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=59,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:111011 |
list_summation | list_summation:pairwise | 7, 3, 0, 5 | 7+3=10 ; 0+5=5 ; 10+5=15 |
base_conversion | base_conversion:via-binary | n=25,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:121 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,4) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 450+623 | p100:400+600=1000 ; p10:50+20=70 ; p1:0+3=3 ; sum=1000+70+3=1073 |
multidigit_addition | multidigit_addition:right-to-left-carry | 425+890 | d2:5+0+0=5→w5,c0 ; d1:2+9+0=11→w1,c1 ; d0:4+8+1=13→w3,c1 ; sum=1315 |
base_conversion | base_conversion:repeated-division | n=191,base=16 | DIV:191/16=11,r:15 ; DIV:11/16=0,r:11 ; OUT:BF |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=-4 | 4x+0=-4 ; 4x=-4 ; x=-1 |
list_summation | list_summation:pairwise | 0, 9, 7, 6 | 0+9=9 ; 7+6=13 ; 9+13=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=40 | 8x+40=40 ; x=(40-40)/8 ; x=0/8 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 956+451 | round:960+451=1411 ; adjust:1411-4=1407 ; sum=1407 |
base_conversion | base_conversion:repeated-division | n=37,base=8 | DIV:37/8=4,r:5 ; DIV:4/8=0,r:4 ; OUT:45 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,1) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-72 | 8x-24=-72 ; x+-3=-9 ; x=-9--3 ; x=-6 |
base_conversion | base_conversion:decomposition | n=74,base=16 | TERM:4*16^1=64 ; TERM:10*16^0=10 ; OUT:4A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-8=-32 | 4x-8=-32 ; 4x=-24 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 5, 4, 0 | [3,5,9,4,0] ; [3,5,4,9,0] ; [3,5,4,0,9] ; [3,4,5,0,9] ; [3,4,0,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-72 | 6x-36=-72 ; x+-6=-12 ; x=-12--6 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=36 | 9x+9=36 ; x=(36-9)/9 ; x=27/9 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 6, 3, 7 | [2,8,6,3,7] ; [2,3,6,8,7] ; [2,3,6,8,7] ; [2,3,6,7,8] |
base_conversion | base_conversion:decomposition | n=197,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3011 |
list_summation | list_summation:pairwise | 3, 2, 5, 8 | 3+2=5 ; 5+8=13 ; 5+13=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=7 | 7x+35=7 ; 7x=-28 ; x=-4 |
list_summation | list_summation:right-to-left | 7, 8, 7, 8 | 7+8=15 ; 8+15=23 ; 7+23=30 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 9, 0, 2, 5 | [9,6,0,2,5] ; [5,6,0,2,9] ; [6,5,0,2,9] ; [2,5,0,6,9] ; [5,2,0,6,9] ; [0,2,5,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 272+632 | round:280+632=912 ; adjust:912-8=904 ; sum=904 |
base_conversion | base_conversion:decomposition | n=128,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:0*8^0=0 ; OUT:200 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 3, 1, 4 | [5,6,3,1,4] ; [5,6,1,3,4] ; [1,3,5,6,4] ; [1,3,4,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 2, 6, 4 | [3,5,2,6,4] ; [2,3,5,6,4] ; [2,3,5,6,4] ; [2,3,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 445+923 | round:450+923=1373 ; adjust:1373-5=1368 ; sum=1368 |
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) |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 2, 5, 7 | [0,6,2,5,7] ; [0,2,6,5,7] ; [0,2,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=9 | 9x+36=9 ; x+4=1 ; x=1-4 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=6 | 2x-8=6 ; x+-4=3 ; x=3--4 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 117+804 | d2:7+4+0=11→w1,c1 ; d1:1+0+1=2→w2,c0 ; d0:1+8+0=9→w9,c0 ; sum=921 |
multidigit_addition | multidigit_addition:left-to-right-partials | 513+551 | p100:500+500=1000 ; p10:10+50=60 ; p1:3+1=4 ; sum=1000+60+4=1064 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-96 | 8x-64=-96 ; x=(-96--64)/8 ; x=-32/8 ; x=-4 |
list_summation | list_summation:pairwise | 6, 0, 1, 5 | 6+0=6 ; 1+5=6 ; 6+6=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-32=-8 | 8x-32=-8 ; x=(-8--32)/8 ; x=24/8 ; x=3 |
list_summation | list_summation:pairwise | 5, 2, 7, 9 | 5+2=7 ; 7+9=16 ; 7+16=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:repeated-division | n=27,base=2 | DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 0, 4, 6 | [1,0,7,4,6] ; [1,0,4,7,6] ; [1,0,4,6,7] ; [0,1,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 658+879 | d2:8+9+0=17→w7,c1 ; d1:5+7+1=13→w3,c1 ; d0:6+8+1=15→w5,c1 ; sum=1537 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 0, 7, 3, 4 | [0,1,7,3,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
list_summation | list_summation:left-to-right | 6, 4, 2, 5 | 6+4=10 ; 10+2=12 ; 12+5=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+687 | p100:700+600=1300 ; p10:30+80=110 ; p1:0+7=7 ; sum=1300+110+7=1417 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 9, 3, 6 | [1,5,9,3,6] ; [1,5,3,9,6] ; [1,5,3,6,9] ; [1,3,5,6,9] |
base_conversion | base_conversion:via-binary | n=11,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13 |
base_conversion | base_conversion:decomposition | n=9,base=4 | TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 2, 0, 7, 1 | 2+0=2 ; 2+7=9 ; 9+1=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=-8 | 4x+24=-8 ; 4x=-32 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 7, 6, 1 | [8,7,9,6,1] ; [8,7,6,9,1] ; [8,7,6,1,9] ; [7,8,6,1,9] ; [7,6,8,1,9] ; [7,6,1,8,9] ; [6,7,1,8,9] ; [6,1,7,8,9] ; [1,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-40=-55 | 5x-40=-55 ; x=(-55--40)/5 ; x=-15/5 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=77 | 7x+14=77 ; 7x=63 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-40 | 8x-40=-40 ; x=(-40--40)/8 ; x=0/8 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 7, 9, 1 | [1,2,7,9,8] ; [1,2,7,9,8] ; [1,2,7,9,8] ; [1,2,7,8,9] |
list_summation | list_summation:pairwise | 6, 3, 6, 5 | 6+3=9 ; 6+5=11 ; 9+11=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; R:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 723+483 | p100:700+400=1100 ; p10:20+80=100 ; p1:3+3=6 ; sum=1100+100+6=1206 |
list_summation | list_summation:right-to-left | 8, 8, 9, 3 | 9+3=12 ; 8+12=20 ; 8+20=28 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=-25 | 5x-10=-25 ; x=(-25--10)/5 ; x=-15/5 ; x=-3 |
list_summation | list_summation:pairwise | 1, 5, 7, 3 | 1+5=6 ; 7+3=10 ; 6+10=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=-63 | 7x-21=-63 ; 7x=-42 ; x=-6 |
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:heap-sort | 3, 5, 9, 4, 0 | [9,5,3,4,0] ; [0,5,3,4,9] ; [5,0,3,4,9] ; [5,4,3,0,9] ; [0,4,3,5,9] ; [4,0,3,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=25 | 5x+5=25 ; x+1=5 ; x=5-1 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=80 | 8x+32=80 ; x+4=10 ; x=10-4 ; x=6 |
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