task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
base_conversion | base_conversion:via-binary | n=250,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=64 | 8x-8=64 ; x=(64--8)/8 ; x=72/8 ; x=9 |
base_conversion | base_conversion:repeated-division | n=67,base=16 | DIV:67/16=4,r:3 ; DIV:4/16=0,r:4 ; OUT:43 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) |
base_conversion | base_conversion:decomposition | n=23,base=8 | TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:27 |
list_summation | list_summation:pairwise | 3, 1, 9, 4 | 3+1=4 ; 9+4=13 ; 4+13=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=27 | 9x+27=27 ; 9x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:left-to-right | 1, 8, 7, 5 | 1+8=9 ; 9+7=16 ; 16+5=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 216+216 | p100:200+200=400 ; p10:10+10=20 ; p1:6+6=12 ; sum=400+20+12=432 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 0, 9, 2 | [0,1,7,9,2] ; [0,1,2,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 426+117 | round:430+117=547 ; adjust:547-4=543 ; sum=543 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 6, 9, 3 | [1,6,7,9,3] ; [1,3,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 0, 9, 4, 8 | [0,7,9,4,8] ; [0,7,9,4,8] ; [0,4,7,9,8] ; [0,4,7,8,9] |
base_conversion | base_conversion:repeated-division | n=172,base=16 | DIV:172/16=10,r:12 ; DIV:10/16=0,r:10 ; OUT:AC |
multidigit_addition | multidigit_addition:left-to-right-partials | 962+773 | p100:900+700=1600 ; p10:60+70=130 ; p1:2+3=5 ; sum=1600+130+5=1735 |
base_conversion | base_conversion:decomposition | n=219,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:3123 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 5, 0, 7 | [1,4,0,5,7] ; [1,0,4,5,7] ; [0,1,4,5,7] |
base_conversion | base_conversion:via-binary | n=141,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:13 ; OUT:8D |
base_conversion | base_conversion:via-binary | n=102,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=54 | 9x+63=54 ; 9x=-9 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-22 | 2x-14=-22 ; 2x=-8 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=39,base=4 | DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:213 |
base_conversion | base_conversion:repeated-division | n=207,base=8 | DIV:207/8=25,r:7 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:317 |
multidigit_addition | multidigit_addition:right-to-left-carry | 713+954 | d2:3+4+0=7→w7,c0 ; d1:1+5+0=6→w6,c0 ; d0:7+9+0=16→w6,c1 ; sum=1667 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 3, 6, 4 | [3,7,5,6,4] ; [3,4,5,6,7] ; [3,4,5,6,7] ; [3,4,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 392+120 | round:400+120=520 ; adjust:520-8=512 ; sum=512 |
base_conversion | base_conversion:decomposition | n=77,base=16 | TERM:4*16^1=64 ; TERM:13*16^0=13 ; OUT:4D |
list_summation | list_summation:left-to-right | 9, 1, 1, 3 | 9+1=10 ; 10+1=11 ; 11+3=14 |
list_summation | list_summation:right-to-left | 8, 3, 6, 8 | 6+8=14 ; 3+14=17 ; 8+17=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 104+305 | round:110+305=415 ; adjust:415-6=409 ; sum=409 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=18 | 9x+18=18 ; x+2=2 ; x=2-2 ; x=0 |
list_summation | list_summation:right-to-left | 1, 3, 8, 9 | 8+9=17 ; 3+17=20 ; 1+20=21 |
list_summation | list_summation:pairwise | 8, 8, 7, 8 | 8+8=16 ; 7+8=15 ; 16+15=31 |
multidigit_addition | multidigit_addition:rounding-decomposition | 467+771 | round:470+771=1241 ; adjust:1241-3=1238 ; sum=1238 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-21 | 3x-12=-21 ; 3x=-9 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 884+533 | p100:800+500=1300 ; p10:80+30=110 ; p1:4+3=7 ; sum=1300+110+7=1417 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+48=0 | 8x+48=0 ; x=(0-48)/8 ; x=-48/8 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 1, 6, 4 | [1,5,6,8,4] ; [1,4,5,6,8] |
list_summation | list_summation:right-to-left | 8, 8, 2, 6 | 2+6=8 ; 8+8=16 ; 8+16=24 |
list_summation | list_summation:left-to-right | 4, 9, 5, 8 | 4+9=13 ; 13+5=18 ; 18+8=26 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,1) | D:(3,0) ; D:(4,0) ; R:(4,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 666+290 | p100:600+200=800 ; p10:60+90=150 ; p1:6+0=6 ; sum=800+150+6=956 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=22,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:10110 |
base_conversion | base_conversion:decomposition | n=46,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:101110 |
base_conversion | base_conversion:decomposition | n=247,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11110111 |
list_summation | list_summation:right-to-left | 9, 6, 1, 2 | 1+2=3 ; 6+3=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 592+255 | p100:500+200=700 ; p10:90+50=140 ; p1:2+5=7 ; sum=700+140+7=847 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 501+177 | round:510+177=687 ; adjust:687-9=678 ; sum=678 |
base_conversion | base_conversion:via-binary | n=205,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:315 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 2, 1, 7, 9 | [0,2,1,7,9] ; [0,1,2,7,9] ; [0,1,2,7,9] ; [0,1,2,7,9] |
base_conversion | base_conversion:via-binary | n=21,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 0, 1, 3 | [0,6,7,1,3] ; [0,1,7,6,3] ; [0,1,3,6,7] ; [0,1,3,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 474+122 | round:480+122=602 ; adjust:602-6=596 ; sum=596 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 1, 2, 0 | [0,6,1,2,9] ; [6,0,1,2,9] ; [6,2,1,0,9] ; [0,2,1,6,9] ; [2,0,1,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 2, 8, 3 | [2,5,6,8,3] ; [2,3,6,8,5] ; [2,3,5,8,6] ; [2,3,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 9, 5, 7 | [8,7,9,5,6] ; [9,7,8,5,6] ; [6,7,8,5,9] ; [8,7,6,5,9] ; [5,7,6,8,9] ; [7,5,6,8,9] ; [6,5,7,8,9] ; [5,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-28 | 2x-18=-28 ; x=(-28--18)/2 ; x=-10/2 ; x=-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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-24 | 3x-15=-24 ; 3x=-9 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=-54 | 9x-18=-54 ; x+-2=-6 ; x=-6--2 ; x=-4 |
list_summation | list_summation:right-to-left | 7, 1, 9, 5 | 9+5=14 ; 1+14=15 ; 7+15=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=171,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:11 ; OUT:AB |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 1, 2, 0 | [0,5,1,2,6] ; [0,1,5,2,6] ; [0,1,2,5,6] ; [0,1,2,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 2, 7, 6 | [3,4,2,7,6] ; [2,3,4,7,6] ; [2,3,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 2, 1, 4, 0 | 2+1=3 ; 4+0=4 ; 3+4=7 |
base_conversion | base_conversion:via-binary | n=254,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:3332 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=-99 | 9x-72=-99 ; 9x=-27 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=-20 | 5x+20=-20 ; x+4=-4 ; x=-4-4 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 977+360 | p100:900+300=1200 ; p10:70+60=130 ; p1:7+0=7 ; sum=1200+130+7=1337 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 5, 2, 9 | [1,4,5,2,9] ; [1,2,5,4,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=179,base=16 | DIV:179/16=11,r:3 ; DIV:11/16=0,r:11 ; OUT:B3 |
base_conversion | base_conversion:decomposition | n=159,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:237 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 6, 3, 2 | [5,8,3,6,2] ; [3,5,6,8,2] ; [2,3,5,6,8] |
base_conversion | base_conversion:repeated-division | n=85,base=2 | DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; 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:1010101 |
list_summation | list_summation:left-to-right | 9, 3, 8, 2 | 9+3=12 ; 12+8=20 ; 20+2=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-91 | 7x-56=-91 ; x+-8=-13 ; x=-13--8 ; x=-5 |
list_summation | list_summation:left-to-right | 0, 4, 2, 7 | 0+4=4 ; 4+2=6 ; 6+7=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 7, 4, 5 | [7,6,1,4,5] ; [5,6,1,4,7] ; [6,5,1,4,7] ; [4,5,1,6,7] ; [5,4,1,6,7] ; [1,4,5,6,7] ; [4,1,5,6,7] ; [1,4,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=102 | 6x+54=102 ; x+9=17 ; x=17-9 ; x=8 |
list_summation | list_summation:left-to-right | 3, 6, 2, 1 | 3+6=9 ; 9+2=11 ; 11+1=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=27 | 3x+9=27 ; x+3=9 ; x=9-3 ; x=6 |
base_conversion | base_conversion:decomposition | n=1,base=16 | TERM:1*16^0=1 ; OUT:1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 121+369 | d2:1+9+0=10→w0,c1 ; d1:2+6+1=9→w9,c0 ; d0:1+3+0=4→w4,c0 ; sum=490 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:pairwise | 3, 7, 9, 1 | 3+7=10 ; 9+1=10 ; 10+10=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 6, 8, 1 | [1,4,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 3, 8, 5 | [1,6,3,8,5] ; [1,3,6,8,5] ; [1,3,6,8,5] ; [1,3,5,6,8] |
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