task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=221,base=2 | DIV:221/2=110,r:1 ; DIV:110/2=55,r:0 ; DIV:55/2=27,r:1 ; 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:11011101 |
base_conversion | base_conversion:repeated-division | n=27,base=8 | DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:33 |
multidigit_addition | multidigit_addition:left-to-right-partials | 331+559 | p100:300+500=800 ; p10:30+50=80 ; p1:1+9=10 ; sum=800+80+10=890 |
multidigit_addition | multidigit_addition:rounding-decomposition | 696+908 | round:700+908=1608 ; adjust:1608-4=1604 ; sum=1604 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 6, 2, 1 | [1,3,6,2,5] ; [1,2,6,3,5] ; [1,2,3,6,5] ; [1,2,3,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 922+795 | p100:900+700=1600 ; p10:20+90=110 ; p1:2+5=7 ; sum=1600+110+7=1717 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 0, 8, 7 | [0,4,8,9,7] ; [0,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=8,base=16 | TERM:8*16^0=8 ; OUT:8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 3, 4, 1 | [0,7,3,4,1] ; [0,3,7,4,1] ; [0,3,4,7,1] ; [0,3,4,1,7] ; [0,3,1,4,7] ; [0,1,3,4,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 9, 0, 3 | [1,4,0,9,3] ; [0,1,4,9,3] ; [0,1,3,4,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 848+874 | d2:8+4+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:8+8+1=17→w7,c1 ; sum=1722 |
base_conversion | base_conversion:repeated-division | n=222,base=4 | DIV:222/4=55,r:2 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3132 |
base_conversion | base_conversion:repeated-division | n=46,base=8 | DIV:46/8=5,r:6 ; DIV:5/8=0,r:5 ; OUT:56 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) |
list_summation | list_summation:right-to-left | 0, 8, 6, 2 | 6+2=8 ; 8+8=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
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 | 3x+12=36 | 3x+12=36 ; x=(36-12)/3 ; x=24/3 ; x=8 |
list_summation | list_summation:left-to-right | 0, 5, 8, 1 | 0+5=5 ; 5+8=13 ; 13+1=14 |
list_summation | list_summation:left-to-right | 3, 5, 2, 4 | 3+5=8 ; 8+2=10 ; 10+4=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 561+859 | round:570+859=1429 ; adjust:1429-9=1420 ; sum=1420 |
base_conversion | base_conversion:decomposition | n=165,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10100101 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 8, 4, 2 | [5,6,4,8,2] ; [4,5,6,8,2] ; [2,4,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 852+589 | p100:800+500=1300 ; p10:50+80=130 ; p1:2+9=11 ; sum=1300+130+11=1441 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-5=15 | 5x-5=15 ; 5x=20 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
base_conversion | base_conversion:decomposition | n=9,base=16 | TERM:9*16^0=9 ; OUT:9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 695+111 | d2:5+1+0=6→w6,c0 ; d1:9+1+0=10→w0,c1 ; d0:6+1+1=8→w8,c0 ; sum=806 |
multidigit_addition | multidigit_addition:right-to-left-carry | 917+864 | d2:7+4+0=11→w1,c1 ; d1:1+6+1=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1781 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 908+970 | round:910+970=1880 ; adjust:1880-2=1878 ; sum=1878 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 7, 8, 1 | [1,5,7,8,9] ; [1,5,7,8,9] ; [1,5,7,8,9] ; [1,5,7,8,9] |
base_conversion | base_conversion:repeated-division | n=147,base=8 | DIV:147/8=18,r:3 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:223 |
base_conversion | base_conversion:decomposition | n=188,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10111100 |
base_conversion | base_conversion:via-binary | n=33,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:1 ; OUT:41 |
list_summation | list_summation:pairwise | 5, 6, 4, 0 | 5+6=11 ; 4+0=4 ; 11+4=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 991+991 | p100:900+900=1800 ; p10:90+90=180 ; p1:1+1=2 ; sum=1800+180+2=1982 |
base_conversion | base_conversion:decomposition | n=1,base=4 | TERM:1*4^0=1 ; OUT:1 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 7, 0, 6 | [5,6,7,0,1] ; [7,6,5,0,1] ; [1,6,5,0,7] ; [6,1,5,0,7] ; [0,1,5,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+6=-6 | 3x+6=-6 ; x=(-6-6)/3 ; x=-12/3 ; x=-4 |
list_summation | list_summation:right-to-left | 7, 1, 8, 7 | 8+7=15 ; 1+15=16 ; 7+16=23 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 8, 0, 1 | [0,2,8,4,1] ; [0,1,8,4,2] ; [0,1,2,4,8] ; [0,1,2,4,8] |
list_summation | list_summation:right-to-left | 2, 6, 0, 6 | 0+6=6 ; 6+6=12 ; 2+12=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 392+696 | d2:2+6+0=8→w8,c0 ; d1:9+9+0=18→w8,c1 ; d0:3+6+1=10→w0,c1 ; sum=1088 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 531+924 | p100:500+900=1400 ; p10:30+20=50 ; p1:1+4=5 ; sum=1400+50+5=1455 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 0, 2, 9 | [0,6,3,2,9] ; [0,2,3,6,9] ; [0,2,3,6,9] ; [0,2,3,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 249+585 | p100:200+500=700 ; p10:40+80=120 ; p1:9+5=14 ; sum=700+120+14=834 |
base_conversion | base_conversion:via-binary | n=245,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:5 ; OUT:F5 |
base_conversion | base_conversion:via-binary | n=116,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:4 ; OUT:74 |
list_summation | list_summation:left-to-right | 8, 6, 7, 6 | 8+6=14 ; 14+7=21 ; 21+6=27 |
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) |
list_summation | list_summation:left-to-right | 4, 9, 9, 7 | 4+9=13 ; 13+9=22 ; 22+7=29 |
base_conversion | base_conversion:repeated-division | n=182,base=8 | DIV:182/8=22,r:6 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:266 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-8 | 2x-8=-8 ; x=(-8--8)/2 ; x=0/2 ; x=0 |
list_summation | list_summation:pairwise | 2, 4, 7, 5 | 2+4=6 ; 7+5=12 ; 6+12=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=32 | 8x+24=32 ; 8x=8 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-45 | 9x+18=-45 ; 9x=-63 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=49 | 7x+0=49 ; 7x=49 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=80 | 8x+24=80 ; x=(80-24)/8 ; x=56/8 ; x=7 |
list_summation | list_summation:left-to-right | 1, 5, 3, 7 | 1+5=6 ; 6+3=9 ; 9+7=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=32 | 4x+36=32 ; 4x=-4 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=-56 | 8x+0=-56 ; x+0=-7 ; x=-7-0 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-18 | 9x+27=-18 ; x+3=-2 ; x=-2-3 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=0 | 4x+32=0 ; x+8=0 ; x=0-8 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,3) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 7, 0, 4 | [5,7,9,0,4] ; [5,7,0,9,4] ; [5,7,0,4,9] ; [5,0,7,4,9] ; [5,0,4,7,9] ; [0,5,4,7,9] ; [0,4,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-48 | 8x-48=-48 ; x=(-48--48)/8 ; x=0/8 ; x=0 |
base_conversion | base_conversion:repeated-division | n=176,base=8 | DIV:176/8=22,r:0 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:260 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=220,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=-36 | 6x-24=-36 ; x=(-36--24)/6 ; x=-12/6 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 348+547 | d2:8+7+0=15→w5,c1 ; d1:4+4+1=9→w9,c0 ; d0:3+5+0=8→w8,c0 ; sum=895 |
base_conversion | base_conversion:decomposition | n=247,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:367 |
list_summation | list_summation:left-to-right | 6, 2, 7, 8 | 6+2=8 ; 8+7=15 ; 15+8=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 9, 6, 4 | [0,3,9,6,4] ; [0,3,6,9,4] ; [0,3,6,4,9] ; [0,3,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 7, 0, 2 | [0,3,7,4,2] ; [0,2,7,4,3] ; [0,2,3,4,7] ; [0,2,3,4,7] |
list_summation | list_summation:right-to-left | 5, 9, 8, 6 | 8+6=14 ; 9+14=23 ; 5+23=28 |
multidigit_addition | multidigit_addition:right-to-left-carry | 219+270 | d2:9+0+0=9→w9,c0 ; d1:1+7+0=8→w8,c0 ; d0:2+2+0=4→w4,c0 ; sum=489 |
list_summation | list_summation:left-to-right | 5, 9, 8, 4 | 5+9=14 ; 14+8=22 ; 22+4=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 464+841 | d2:4+1+0=5→w5,c0 ; d1:6+4+0=10→w0,c1 ; d0:4+8+1=13→w3,c1 ; sum=1305 |
list_summation | list_summation:left-to-right | 1, 1, 3, 5 | 1+1=2 ; 2+3=5 ; 5+5=10 |
base_conversion | base_conversion:via-binary | n=49,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:301 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 0, 4, 1 | [6,0,8,4,1] ; [6,0,4,8,1] ; [6,0,4,1,8] ; [0,6,4,1,8] ; [0,4,6,1,8] ; [0,4,1,6,8] ; [0,1,4,6,8] |
base_conversion | base_conversion:via-binary | n=53,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:5 ; OUT:65 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=30 | 2x+12=30 ; 2x=18 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 109+192 | p100:100+100=200 ; p10:0+90=90 ; p1:9+2=11 ; sum=200+90+11=301 |
base_conversion | base_conversion:decomposition | n=226,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:3202 |
base_conversion | base_conversion:repeated-division | n=233,base=4 | DIV:233/4=58,r:1 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3221 |
base_conversion | base_conversion:repeated-division | n=87,base=16 | DIV:87/16=5,r:7 ; DIV:5/16=0,r:5 ; OUT:57 |
base_conversion | base_conversion:repeated-division | n=147,base=2 | DIV:147/2=73,r:1 ; 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:10010011 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 4, 3, 1 | [2,6,4,3,1] ; [2,6,3,4,1] ; [2,3,4,6,1] ; [1,2,3,4,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=-28 | 7x+7=-28 ; x=(-28-7)/7 ; x=-35/7 ; x=-5 |
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