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 | 3, 7, 5, 8 | 3+7=10 ; 10+5=15 ; 15+8=23 |
base_conversion | base_conversion:via-binary | n=213,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11010101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 357+617 | d2:7+7+0=14→w4,c1 ; d1:5+1+1=7→w7,c0 ; d0:3+6+0=9→w9,c0 ; sum=974 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 4, 3, 8 | [6,7,3,4,8] ; [3,4,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-9 | 9x-18=-9 ; 9x=9 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 4, 1, 7 | [7,8,4,1,9] ; [8,7,4,1,9] ; [1,7,4,8,9] ; [7,1,4,8,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
base_conversion | base_conversion:repeated-division | n=72,base=4 | DIV:72/4=18,r:0 ; DIV:18/4=4,r:2 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1020 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-108 | 9x-72=-108 ; x+-8=-12 ; x=-12--8 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 1, 5, 9 | [1,7,3,5,9] ; [1,3,7,5,9] ; [1,3,5,7,9] ; [1,3,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,3) | D:(3,1) ; R:(3,2) ; R:(3,3) |
base_conversion | base_conversion:via-binary | n=35,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:100011 |
list_summation | list_summation:pairwise | 9, 9, 2, 2 | 9+9=18 ; 2+2=4 ; 18+4=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-18=36 | 6x-18=36 ; 6x=54 ; x=9 |
list_summation | list_summation:right-to-left | 5, 1, 9, 2 | 9+2=11 ; 1+11=12 ; 5+12=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 781+456 | p100:700+400=1100 ; p10:80+50=130 ; p1:1+6=7 ; sum=1100+130+7=1237 |
list_summation | list_summation:right-to-left | 4, 7, 7, 8 | 7+8=15 ; 7+15=22 ; 4+22=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 742+359 | round:750+359=1109 ; adjust:1109-8=1101 ; sum=1101 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-9 | 3x-24=-9 ; x+-8=-3 ; x=-3--8 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 728+121 | p100:700+100=800 ; p10:20+20=40 ; p1:8+1=9 ; sum=800+40+9=849 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 1, 2, 3 | [1,4,8,2,3] ; [1,2,8,4,3] ; [1,2,3,4,8] ; [1,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=173,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2231 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:left-to-right | 3, 2, 9, 6 | 3+2=5 ; 5+9=14 ; 14+6=20 |
list_summation | list_summation:left-to-right | 3, 8, 0, 6 | 3+8=11 ; 11+0=11 ; 11+6=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(4,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=63 | 9x+45=63 ; 9x=18 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 7, 3, 9, 4 | [2,7,3,9,4] ; [2,3,7,9,4] ; [2,3,4,9,7] ; [2,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=82,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:122 |
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) |
base_conversion | base_conversion:decomposition | n=166,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2212 |
base_conversion | base_conversion:via-binary | n=50,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32 |
list_summation | list_summation:left-to-right | 4, 3, 0, 7 | 4+3=7 ; 7+0=7 ; 7+7=14 |
list_summation | list_summation:left-to-right | 2, 3, 6, 9 | 2+3=5 ; 5+6=11 ; 11+9=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 690+902 | p100:600+900=1500 ; p10:90+0=90 ; p1:0+2=2 ; sum=1500+90+2=1592 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 5, 8, 0 | [0,4,5,8,1] ; [0,1,5,8,4] ; [0,1,4,8,5] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 8, 3, 4 | [5,9,8,3,4] ; [5,8,9,3,4] ; [3,5,8,9,4] ; [3,4,5,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 2, 0, 6, 7 | [1,7,0,6,2] ; [7,1,0,6,2] ; [7,6,0,1,2] ; [2,6,0,1,7] ; [6,2,0,1,7] ; [1,2,0,6,7] ; [2,1,0,6,7] ; [0,1,2,6,7] ; [1,0,2,6,7] ; [0,1,2,6,7] |
list_summation | list_summation:pairwise | 8, 8, 6, 7 | 8+8=16 ; 6+7=13 ; 16+13=29 |
list_summation | list_summation:left-to-right | 9, 2, 9, 3 | 9+2=11 ; 11+9=20 ; 20+3=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 4, 1, 9 | [0,3,4,1,9] ; [0,3,4,1,9] ; [0,1,3,4,9] ; [0,1,3,4,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 9, 2, 5 | [1,3,9,2,5] ; [1,3,2,9,5] ; [1,2,3,9,5] ; [1,2,3,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 5, 7, 9, 6 | [1,5,7,9,6] ; [1,5,7,9,6] ; [1,5,6,9,7] ; [1,5,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 6, 9, 7 | [1,8,6,9,7] ; [1,6,8,9,7] ; [1,6,8,7,9] ; [1,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=42 | 7x+28=42 ; 7x=14 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-32=-56 | 8x-32=-56 ; x=(-56--32)/8 ; x=-24/8 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 243+594 | round:250+594=844 ; adjust:844-7=837 ; sum=837 |
list_summation | list_summation:pairwise | 4, 4, 4, 8 | 4+4=8 ; 4+8=12 ; 8+12=20 |
base_conversion | base_conversion:via-binary | n=58,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:322 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 5, 6, 2 | [4,7,5,6,2] ; [4,5,7,6,2] ; [4,5,6,7,2] ; [2,4,5,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 1, 3, 7 | [6,8,1,3,7] ; [1,6,8,3,7] ; [1,3,6,8,7] ; [1,3,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 9, 2, 3 | [9,4,0,2,3] ; [3,4,0,2,9] ; [4,3,0,2,9] ; [2,3,0,4,9] ; [3,2,0,4,9] ; [0,2,3,4,9] ; [2,0,3,4,9] ; [0,2,3,4,9] |
list_summation | list_summation:right-to-left | 6, 7, 6, 3 | 6+3=9 ; 7+9=16 ; 6+16=22 |
base_conversion | base_conversion:via-binary | n=83,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:123 |
list_summation | list_summation:pairwise | 4, 7, 9, 2 | 4+7=11 ; 9+2=11 ; 11+11=22 |
list_summation | list_summation:left-to-right | 9, 4, 0, 6 | 9+4=13 ; 13+0=13 ; 13+6=19 |
base_conversion | base_conversion:via-binary | n=90,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:132 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 8, 1, 4 | [1,3,8,7,4] ; [1,3,8,7,4] ; [1,3,4,7,8] ; [1,3,4,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 9, 8, 2 | [4,7,8,9,2] ; [4,7,8,2,9] ; [4,7,2,8,9] ; [4,2,7,8,9] ; [2,4,7,8,9] |
base_conversion | base_conversion:via-binary | n=212,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 700+396 | d2:0+6+0=6→w6,c0 ; d1:0+9+0=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1096 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 2, 8, 1 | [3,6,2,8,1] ; [2,3,6,8,1] ; [1,2,3,6,8] |
base_conversion | base_conversion:via-binary | n=18,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:10010 |
list_summation | list_summation:right-to-left | 7, 3, 4, 9 | 4+9=13 ; 3+13=16 ; 7+16=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,3) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 287+847 | p100:200+800=1000 ; p10:80+40=120 ; p1:7+7=14 ; sum=1000+120+14=1134 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-12 | 4x-32=-12 ; 4x=20 ; x=5 |
base_conversion | base_conversion:via-binary | n=164,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2210 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 4, 2, 9 | [5,7,4,2,9] ; [5,4,7,2,9] ; [5,4,2,7,9] ; [4,5,2,7,9] ; [4,2,5,7,9] ; [2,4,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 830+366 | d2:0+6+0=6→w6,c0 ; d1:3+6+0=9→w9,c0 ; d0:8+3+0=11→w1,c1 ; sum=1196 |
list_summation | list_summation:left-to-right | 1, 7, 6, 8 | 1+7=8 ; 8+6=14 ; 14+8=22 |
base_conversion | base_conversion:decomposition | n=121,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1111001 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 2, 1, 5 | [1,6,2,4,5] ; [1,2,6,4,5] ; [1,2,4,6,5] ; [1,2,4,5,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:left-to-right | 3, 4, 8, 3 | 3+4=7 ; 7+8=15 ; 15+3=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 5, 9, 3 | [1,7,5,9,3] ; [1,5,7,9,3] ; [1,5,7,9,3] ; [1,3,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=27 | 9x-27=27 ; x=(27--27)/9 ; x=54/9 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
list_summation | list_summation:right-to-left | 3, 2, 8, 5 | 8+5=13 ; 2+13=15 ; 3+15=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 2, 0, 1 | [0,9,2,8,1] ; [0,1,2,8,9] ; [0,1,2,8,9] ; [0,1,2,8,9] |
list_summation | list_summation:left-to-right | 7, 1, 9, 1 | 7+1=8 ; 8+9=17 ; 17+1=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=16 | 2x+12=16 ; x+6=8 ; x=8-6 ; x=2 |
base_conversion | base_conversion:via-binary | n=193,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=3,base=16 | BINLEN:2 ; CHUNK:0:3 ; OUT:3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-36 | 3x-27=-36 ; x+-9=-12 ; x=-12--9 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 776+176 | round:780+176=956 ; adjust:956-4=952 ; sum=952 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 930+961 | round:930+961=1891 ; adjust:1891-0=1891 ; sum=1891 |
list_summation | list_summation:right-to-left | 5, 5, 5, 8 | 5+8=13 ; 5+13=18 ; 5+18=23 |
base_conversion | base_conversion:repeated-division | n=173,base=2 | DIV:173/2=86,r:1 ; DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10101101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 4, 7, 0 | [1,3,4,7,0] ; [1,3,4,0,7] ; [1,3,0,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 117+115 | round:120+115=235 ; adjust:235-3=232 ; sum=232 |
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