task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 5, 3, 8 | [6,7,5,3,8] ; [6,7,3,5,8] ; [3,5,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 9, 1, 7, 7 | 7+7=14 ; 1+14=15 ; 9+15=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 275+976 | p100:200+900=1100 ; p10:70+70=140 ; p1:5+6=11 ; sum=1100+140+11=1251 |
list_summation | list_summation:right-to-left | 7, 2, 4, 0 | 4+0=4 ; 2+4=6 ; 7+6=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 489+658 | p100:400+600=1000 ; p10:80+50=130 ; p1:9+8=17 ; sum=1000+130+17=1147 |
list_summation | list_summation:left-to-right | 5, 4, 6, 5 | 5+4=9 ; 9+6=15 ; 15+5=20 |
list_summation | list_summation:left-to-right | 8, 4, 5, 1 | 8+4=12 ; 12+5=17 ; 17+1=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 7, 5, 6 | [2,8,7,5,6] ; [2,5,7,8,6] ; [2,5,6,8,7] ; [2,5,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 151+258 | p100:100+200=300 ; p10:50+50=100 ; p1:1+8=9 ; sum=300+100+9=409 |
multidigit_addition | multidigit_addition:right-to-left-carry | 465+795 | d2:5+5+0=10→w0,c1 ; d1:6+9+1=16→w6,c1 ; d0:4+7+1=12→w2,c1 ; sum=1260 |
list_summation | list_summation:right-to-left | 3, 7, 3, 9 | 3+9=12 ; 7+12=19 ; 3+19=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 2, 8, 6 | [1,7,2,8,6] ; [1,2,7,8,6] ; [1,2,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=-5 | 5x+35=-5 ; x=(-5-35)/5 ; x=-40/5 ; x=-8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 743+255 | round:750+255=1005 ; adjust:1005-7=998 ; sum=998 |
base_conversion | base_conversion:repeated-division | n=26,base=4 | DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:122 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 7, 9, 3 | [3,4,5,7,9] |
base_conversion | base_conversion:repeated-division | n=198,base=8 | DIV:198/8=24,r:6 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:306 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 1, 9, 4 | [1,5,7,9,4] ; [1,4,7,9,5] ; [1,4,5,9,7] ; [1,4,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 2, 9, 6 | [4,2,7,9,6] ; [4,2,7,6,9] ; [2,4,7,6,9] ; [2,4,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-12 | 6x-48=-12 ; x+-8=-2 ; x=-2--8 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,4) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=26,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,2) | R:(0,2) ; D:(1,2) ; D:(2,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=47,base=16 | TERM:2*16^1=32 ; TERM:15*16^0=15 ; OUT:2F |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
list_summation | list_summation:left-to-right | 2, 5, 8, 7 | 2+5=7 ; 7+8=15 ; 15+7=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 611+413 | round:620+413=1033 ; adjust:1033-9=1024 ; sum=1024 |
base_conversion | base_conversion:repeated-division | n=250,base=2 | DIV:250/2=125,r:0 ; DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111010 |
list_summation | list_summation:right-to-left | 6, 0, 5, 1 | 5+1=6 ; 0+6=6 ; 6+6=12 |
base_conversion | base_conversion:via-binary | n=245,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:5 ; OUT:F5 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 1, 0, 8 | [0,2,1,6,8] ; [0,1,2,6,8] ; [0,1,2,6,8] ; [0,1,2,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=40 | 4x+4=40 ; 4x=36 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 6, 9, 6, 8 | 6+8=14 ; 9+14=23 ; 6+23=29 |
multidigit_addition | multidigit_addition:left-to-right-partials | 245+248 | p100:200+200=400 ; p10:40+40=80 ; p1:5+8=13 ; sum=400+80+13=493 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 9, 1, 8 | [2,6,1,9,8] ; [2,6,1,8,9] ; [2,1,6,8,9] ; [1,2,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
base_conversion | base_conversion:decomposition | n=130,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:202 |
list_summation | list_summation:left-to-right | 6, 6, 0, 7 | 6+6=12 ; 12+0=12 ; 12+7=19 |
list_summation | list_summation:right-to-left | 0, 9, 5, 9 | 5+9=14 ; 9+14=23 ; 0+23=23 |
list_summation | list_summation:pairwise | 6, 9, 2, 5 | 6+9=15 ; 2+5=7 ; 15+7=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 887+934 | p100:800+900=1700 ; p10:80+30=110 ; p1:7+4=11 ; sum=1700+110+11=1821 |
base_conversion | base_conversion:decomposition | n=106,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1222 |
list_summation | list_summation:left-to-right | 8, 5, 6, 1 | 8+5=13 ; 13+6=19 ; 19+1=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 7, 8, 8, 9 | 7+8=15 ; 8+9=17 ; 15+17=32 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-56 | 4x-36=-56 ; x=(-56--36)/4 ; x=-20/4 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 198+617 | d2:8+7+0=15→w5,c1 ; d1:9+1+1=11→w1,c1 ; d0:1+6+1=8→w8,c0 ; sum=815 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 5, 0, 4 | [2,7,5,0,4] ; [2,5,7,0,4] ; [0,2,5,7,4] ; [0,2,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 212+822 | round:220+822=1042 ; adjust:1042-8=1034 ; sum=1034 |
list_summation | list_summation:right-to-left | 8, 2, 5, 9 | 5+9=14 ; 2+14=16 ; 8+16=24 |
list_summation | list_summation:left-to-right | 4, 9, 9, 0 | 4+9=13 ; 13+9=22 ; 22+0=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 417+223 | round:420+223=643 ; adjust:643-3=640 ; sum=640 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 1, 4, 7 | [0,3,1,4,7] ; [0,1,3,4,7] ; [0,1,3,4,7] ; [0,1,3,4,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 2, 8, 6, 7 | [1,7,8,6,2] ; [8,7,1,6,2] ; [2,7,1,6,8] ; [7,2,1,6,8] ; [7,6,1,2,8] ; [2,6,1,7,8] ; [6,2,1,7,8] ; [1,2,6,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8] |
list_summation | list_summation:pairwise | 2, 1, 6, 1 | 2+1=3 ; 6+1=7 ; 3+7=10 |
base_conversion | base_conversion:repeated-division | n=237,base=2 | DIV:237/2=118,r:1 ; 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:11101101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,3) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
list_summation | list_summation:left-to-right | 8, 5, 1, 4 | 8+5=13 ; 13+1=14 ; 14+4=18 |
list_summation | list_summation:left-to-right | 6, 7, 1, 4 | 6+7=13 ; 13+1=14 ; 14+4=18 |
base_conversion | base_conversion:decomposition | n=45,base=8 | TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:55 |
multidigit_addition | multidigit_addition:rounding-decomposition | 757+770 | round:760+770=1530 ; adjust:1530-3=1527 ; sum=1527 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 796+977 | d2:6+7+0=13→w3,c1 ; d1:9+7+1=17→w7,c1 ; d0:7+9+1=17→w7,c1 ; sum=1773 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=-48 | 8x+24=-48 ; 8x=-72 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,2) | R:(0,2) ; D:(1,2) ; D:(2,2) |
list_summation | list_summation:right-to-left | 0, 0, 0, 1 | 0+1=1 ; 0+1=1 ; 0+1=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 5, 8, 0 | [4,8,5,3,0] ; [8,4,5,3,0] ; [0,4,5,3,8] ; [5,4,0,3,8] ; [3,4,0,5,8] ; [4,3,0,5,8] ; [0,3,4,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 922+864 | p100:900+800=1700 ; p10:20+60=80 ; p1:2+4=6 ; sum=1700+80+6=1786 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=-42 | 7x+0=-42 ; x=(-42-0)/7 ; x=-42/7 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=-27 | 9x-9=-27 ; x+-1=-3 ; x=-3--1 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=45 | 9x+72=45 ; 9x=-27 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 6, 8, 9 | [4,5,6,8,9] ; [4,5,6,8,9] ; [4,5,6,8,9] ; [4,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 2, 8, 4 | [1,3,2,8,4] ; [1,2,3,8,4] ; [1,2,3,8,4] ; [1,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=44,base=8 | TERM:5*8^1=40 ; TERM:4*8^0=4 ; OUT:54 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-3 | 3x+0=-3 ; 3x=-3 ; x=-1 |
base_conversion | base_conversion:via-binary | n=30,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11110 |
base_conversion | base_conversion:decomposition | n=38,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 998+362 | d2:8+2+0=10→w0,c1 ; d1:9+6+1=16→w6,c1 ; d0:9+3+1=13→w3,c1 ; sum=1360 |
list_summation | list_summation:left-to-right | 4, 9, 4, 8 | 4+9=13 ; 13+4=17 ; 17+8=25 |
base_conversion | base_conversion:decomposition | n=163,base=16 | TERM:10*16^1=160 ; TERM:3*16^0=3 ; OUT:A3 |
base_conversion | base_conversion:via-binary | n=235,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:11 ; OUT:EB |
multidigit_addition | multidigit_addition:right-to-left-carry | 363+954 | d2:3+4+0=7→w7,c0 ; d1:6+5+0=11→w1,c1 ; d0:3+9+1=13→w3,c1 ; sum=1317 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=90 | 9x+72=90 ; 9x=18 ; x=2 |
base_conversion | base_conversion:decomposition | n=123,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:173 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 0, 9, 1 | [0,4,2,9,1] ; [0,1,2,9,4] ; [0,1,2,9,4] ; [0,1,2,4,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=-88 | 8x-16=-88 ; x=(-88--16)/8 ; x=-72/8 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 400+468 | p100:400+400=800 ; p10:0+60=60 ; p1:0+8=8 ; sum=800+60+8=868 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 3, 9, 4 | [5,6,3,9,4] ; [3,5,6,9,4] ; [3,5,6,9,4] ; [3,4,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=21 | 3x+21=21 ; x+7=7 ; x=7-7 ; x=0 |
base_conversion | base_conversion:repeated-division | n=62,base=2 | DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111110 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.