task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 9, 7, 5 | [0,2,9,7,5] ; [0,2,9,7,5] ; [0,2,5,7,9] ; [0,2,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=0 | 4x+4=0 ; x+1=0 ; x=0-1 ; x=-1 |
base_conversion | base_conversion:via-binary | n=38,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:212 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 4, 2, 7 | [5,6,4,2,7] ; [5,4,6,2,7] ; [5,4,2,6,7] ; [4,5,2,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-36 | 3x-15=-36 ; x+-5=-12 ; x=-12--5 ; x=-7 |
base_conversion | base_conversion:via-binary | n=153,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:231 |
multidigit_addition | multidigit_addition:right-to-left-carry | 790+638 | d2:0+8+0=8→w8,c0 ; d1:9+3+0=12→w2,c1 ; d0:7+6+1=14→w4,c1 ; sum=1428 |
list_summation | list_summation:pairwise | 4, 4, 3, 8 | 4+4=8 ; 3+8=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,2) | D:(3,1) ; D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 1, 6, 8 | [4,5,1,6,8] ; [1,4,5,6,8] ; [1,4,5,6,8] ; [1,4,5,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 1, 5, 3 | [0,2,1,5,3] ; [0,1,2,5,3] ; [0,1,2,5,3] ; [0,1,2,3,5] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,3) | D:(2,2) ; D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=5 | 5x-15=5 ; x+-3=1 ; x=1--3 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=0 | 8x+16=0 ; 8x=-16 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=-48 | 8x+16=-48 ; x=(-48-16)/8 ; x=-64/8 ; x=-8 |
list_summation | list_summation:pairwise | 4, 4, 0, 3 | 4+4=8 ; 0+3=3 ; 8+3=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 691+274 | round:700+274=974 ; adjust:974-9=965 ; sum=965 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 6, 8, 0 | [2,9,6,8,0] ; [2,6,9,8,0] ; [2,6,8,9,0] ; [0,2,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=-63 | 9x-18=-63 ; x+-2=-7 ; x=-7--2 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,5) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 7, 9, 5, 9 | 7+9=16 ; 16+5=21 ; 21+9=30 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 4, 6, 0 | [0,8,4,6,1] ; [0,1,4,6,8] ; [0,1,4,6,8] ; [0,1,4,6,8] |
list_summation | list_summation:pairwise | 5, 9, 0, 5 | 5+9=14 ; 0+5=5 ; 14+5=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 6, 4, 2 | [8,0,6,4,2] ; [8,4,6,0,2] ; [2,4,6,0,8] ; [6,4,2,0,8] ; [0,4,2,6,8] ; [4,0,2,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
list_summation | list_summation:right-to-left | 8, 1, 3, 9 | 3+9=12 ; 1+12=13 ; 8+13=21 |
list_summation | list_summation:left-to-right | 2, 4, 3, 6 | 2+4=6 ; 6+3=9 ; 9+6=15 |
base_conversion | base_conversion:via-binary | n=87,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:7 ; OUT:127 |
list_summation | list_summation:left-to-right | 4, 3, 1, 6 | 4+3=7 ; 7+1=8 ; 8+6=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=8 | 8x+32=8 ; x+4=1 ; x=1-4 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-24 | 3x-21=-24 ; 3x=-3 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 230+609 | d2:0+9+0=9→w9,c0 ; d1:3+0+0=3→w3,c0 ; d0:2+6+0=8→w8,c0 ; sum=839 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
list_summation | list_summation:left-to-right | 6, 8, 3, 9 | 6+8=14 ; 14+3=17 ; 17+9=26 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 2, 0, 3 | [0,8,2,5,3] ; [0,2,8,5,3] ; [0,2,3,5,8] ; [0,2,3,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-5 | 5x+0=-5 ; x=(-5-0)/5 ; x=-5/5 ; x=-1 |
base_conversion | base_conversion:decomposition | n=14,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1110 |
list_summation | list_summation:right-to-left | 7, 0, 1, 8 | 1+8=9 ; 0+9=9 ; 7+9=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 0, 8, 9 | [1,6,0,8,9] ; [1,0,6,8,9] ; [0,1,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=49 | 7x+0=49 ; 7x=49 ; x=7 |
list_summation | list_summation:right-to-left | 1, 7, 8, 2 | 8+2=10 ; 7+10=17 ; 1+17=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 800+166 | d2:0+6+0=6→w6,c0 ; d1:0+6+0=6→w6,c0 ; d0:8+1+0=9→w9,c0 ; sum=966 |
multidigit_addition | multidigit_addition:left-to-right-partials | 335+104 | p100:300+100=400 ; p10:30+0=30 ; p1:5+4=9 ; sum=400+30+9=439 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 0, 5, 6, 7 | [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=0 | 2x+6=0 ; x=(0-6)/2 ; x=-6/2 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=3 | 3x+0=3 ; x+0=1 ; x=1-0 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 356+832 | p100:300+800=1100 ; p10:50+30=80 ; p1:6+2=8 ; sum=1100+80+8=1188 |
list_summation | list_summation:right-to-left | 0, 9, 5, 1 | 5+1=6 ; 9+6=15 ; 0+15=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=42 | 6x+48=42 ; x+8=7 ; x=7-8 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 5, 7, 0 | [9,2,5,7,0] ; [9,7,5,2,0] ; [0,7,5,2,9] ; [7,0,5,2,9] ; [7,2,5,0,9] ; [0,2,5,7,9] ; [5,2,0,7,9] ; [0,2,5,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
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 |
list_summation | list_summation:right-to-left | 6, 2, 9, 2 | 9+2=11 ; 2+11=13 ; 6+13=19 |
list_summation | list_summation:left-to-right | 3, 1, 4, 8 | 3+1=4 ; 4+4=8 ; 8+8=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=101,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1211 |
list_summation | list_summation:right-to-left | 1, 7, 2, 9 | 2+9=11 ; 7+11=18 ; 1+18=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 557+844 | d2:7+4+0=11→w1,c1 ; d1:5+4+1=10→w0,c1 ; d0:5+8+1=14→w4,c1 ; sum=1401 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 1, 4, 9 | [2,6,1,4,9] ; [2,1,6,4,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
list_summation | list_summation:right-to-left | 7, 2, 8, 4 | 8+4=12 ; 2+12=14 ; 7+14=21 |
list_summation | list_summation:pairwise | 0, 6, 2, 8 | 0+6=6 ; 2+8=10 ; 6+10=16 |
list_summation | list_summation:left-to-right | 0, 9, 6, 5 | 0+9=9 ; 9+6=15 ; 15+5=20 |
list_summation | list_summation:left-to-right | 2, 0, 1, 5 | 2+0=2 ; 2+1=3 ; 3+5=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 469+413 | p100:400+400=800 ; p10:60+10=70 ; p1:9+3=12 ; sum=800+70+12=882 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=-7 | 7x+56=-7 ; x+8=-1 ; x=-1-8 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=-24 | 8x+32=-24 ; 8x=-56 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=48 | 4x+24=48 ; 4x=24 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 675+784 | round:680+784=1464 ; adjust:1464-5=1459 ; sum=1459 |
list_summation | list_summation:pairwise | 4, 4, 2, 0 | 4+4=8 ; 2+0=2 ; 8+2=10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 225+866 | d2:5+6+0=11→w1,c1 ; d1:2+6+1=9→w9,c0 ; d0:2+8+0=10→w0,c1 ; sum=1091 |
base_conversion | base_conversion:decomposition | n=28,base=16 | TERM:1*16^1=16 ; TERM:12*16^0=12 ; OUT:1C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-90 | 6x-54=-90 ; 6x=-36 ; x=-6 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 0, 1, 2 | [7,4,0,1,2] ; [2,4,0,1,7] ; [4,2,0,1,7] ; [1,2,0,4,7] ; [2,1,0,4,7] ; [0,1,2,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
base_conversion | base_conversion:repeated-division | n=39,base=16 | DIV:39/16=2,r:7 ; DIV:2/16=0,r:2 ; OUT:27 |
multidigit_addition | multidigit_addition:left-to-right-partials | 767+756 | p100:700+700=1400 ; p10:60+50=110 ; p1:7+6=13 ; sum=1400+110+13=1523 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=238,base=16 | DIV:238/16=14,r:14 ; DIV:14/16=0,r:14 ; OUT:EE |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 0, 9, 4 | [2,5,0,9,4] ; [0,2,5,9,4] ; [0,2,5,9,4] ; [0,2,4,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 0, 9, 8 | [1,6,0,9,8] ; [0,1,6,9,8] ; [0,1,6,9,8] ; [0,1,6,8,9] |
base_conversion | base_conversion:repeated-division | n=157,base=8 | DIV:157/8=19,r:5 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:235 |
list_summation | list_summation:left-to-right | 4, 6, 2, 1 | 4+6=10 ; 10+2=12 ; 12+1=13 |
list_summation | list_summation:left-to-right | 3, 2, 3, 8 | 3+2=5 ; 5+3=8 ; 8+8=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 3, 5, 9 | [0,3,4,5,9] |
base_conversion | base_conversion:via-binary | n=224,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:0 ; OUT:E0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 879+301 | d2:9+1+0=10→w0,c1 ; d1:7+0+1=8→w8,c0 ; d0:8+3+0=11→w1,c1 ; sum=1180 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 5, 6, 2 | [4,6,5,3,2] ; [6,4,5,3,2] ; [2,4,5,3,6] ; [5,4,2,3,6] ; [3,4,2,5,6] ; [4,3,2,5,6] ; [2,3,4,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 100+878 | d2:0+8+0=8→w8,c0 ; d1:0+7+0=7→w7,c0 ; d0:1+8+0=9→w9,c0 ; sum=978 |
list_summation | list_summation:right-to-left | 7, 5, 8, 8 | 8+8=16 ; 5+16=21 ; 7+21=28 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 2, 8, 9 | [3,6,2,8,9] ; [2,3,6,8,9] ; [2,3,6,8,9] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 9, 0, 5 | [6,7,0,9,5] ; [0,6,7,9,5] ; [0,5,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 872+914 | p100:800+900=1700 ; p10:70+10=80 ; p1:2+4=6 ; sum=1700+80+6=1786 |
multidigit_addition | multidigit_addition:right-to-left-carry | 649+947 | d2:9+7+0=16→w6,c1 ; d1:4+4+1=9→w9,c0 ; d0:6+9+0=15→w5,c1 ; sum=1596 |
list_summation | list_summation:right-to-left | 9, 6, 1, 9 | 1+9=10 ; 6+10=16 ; 9+16=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=40 | 5x+25=40 ; x=(40-25)/5 ; x=15/5 ; x=3 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.