task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 0, 4, 3 | [6,0,9,4,3] ; [6,0,4,9,3] ; [6,0,4,3,9] ; [0,6,4,3,9] ; [0,4,6,3,9] ; [0,4,3,6,9] ; [0,3,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 576+711 | p100:500+700=1200 ; p10:70+10=80 ; p1:6+1=7 ; sum=1200+80+7=1287 |
base_conversion | base_conversion:via-binary | n=171,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:3 ; OUT:253 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=4 | 4x-28=4 ; x=(4--28)/4 ; x=32/4 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 646+716 | d2:6+6+0=12→w2,c1 ; d1:4+1+1=6→w6,c0 ; d0:6+7+0=13→w3,c1 ; sum=1362 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 1, 0, 5 | [4,5,1,0,3] ; [5,4,1,0,3] ; [3,4,1,0,5] ; [4,3,1,0,5] ; [0,3,1,4,5] ; [3,0,1,4,5] ; [1,0,3,4,5] ; [0,1,3,4,5] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 9, 8, 3 | [2,6,9,8,3] ; [2,6,8,9,3] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 9, 5, 3 | [8,5,9,0,3] ; [9,5,8,0,3] ; [3,5,8,0,9] ; [8,5,3,0,9] ; [0,5,3,8,9] ; [5,0,3,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 8, 3, 6 | [1,9,3,8,6] ; [1,3,8,9,6] ; [1,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 8, 7, 3 | [6,7,8,1,3] ; [8,7,6,1,3] ; [3,7,6,1,8] ; [7,3,6,1,8] ; [1,3,6,7,8] ; [6,3,1,7,8] ; [1,3,6,7,8] ; [3,1,6,7,8] ; [1,3,6,7,8] |
base_conversion | base_conversion:via-binary | n=182,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6 |
base_conversion | base_conversion:repeated-division | n=57,base=8 | DIV:57/8=7,r:1 ; DIV:7/8=0,r:7 ; OUT:71 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=60 | 6x+6=60 ; x+1=10 ; x=10-1 ; x=9 |
list_summation | list_summation:right-to-left | 1, 0, 7, 3 | 7+3=10 ; 0+10=10 ; 1+10=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 7, 1, 3 | [7,4,0,1,3] ; [3,4,0,1,7] ; [4,3,0,1,7] ; [1,3,0,4,7] ; [3,1,0,4,7] ; [0,1,3,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=18 | 3x+24=18 ; x+8=6 ; x=6-8 ; x=-2 |
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=16,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:100 |
list_summation | list_summation:pairwise | 4, 2, 8, 1 | 4+2=6 ; 8+1=9 ; 6+9=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 686+220 | d2:6+0+0=6→w6,c0 ; d1:8+2+0=10→w0,c1 ; d0:6+2+1=9→w9,c0 ; sum=906 |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+358 | p100:100+300=400 ; p10:30+50=80 ; p1:4+8=12 ; sum=400+80+12=492 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 2, 7, 8 | [1,5,2,7,8] ; [1,2,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 191+116 | round:200+116=316 ; adjust:316-9=307 ; sum=307 |
multidigit_addition | multidigit_addition:left-to-right-partials | 574+722 | p100:500+700=1200 ; p10:70+20=90 ; p1:4+2=6 ; sum=1200+90+6=1296 |
base_conversion | base_conversion:via-binary | n=44,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:101100 |
list_summation | list_summation:left-to-right | 1, 5, 8, 1 | 1+5=6 ; 6+8=14 ; 14+1=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 0, 9, 2 | [6,9,0,1,2] ; [9,6,0,1,2] ; [2,6,0,1,9] ; [6,2,0,1,9] ; [1,2,0,6,9] ; [2,1,0,6,9] ; [0,1,2,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
list_summation | list_summation:right-to-left | 0, 2, 0, 0 | 0+0=0 ; 2+0=2 ; 0+2=2 |
base_conversion | base_conversion:decomposition | n=244,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:364 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 0, 7, 2, 2 | 2+2=4 ; 7+4=11 ; 0+11=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 5, 7, 3, 7 | 3+7=10 ; 7+10=17 ; 5+17=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 742+159 | round:750+159=909 ; adjust:909-8=901 ; sum=901 |
base_conversion | base_conversion:via-binary | n=13,base=4 | BINLEN:4 ; CHUNK:0:3 ; CHUNK:1:1 ; OUT:31 |
list_summation | list_summation:pairwise | 1, 0, 7, 5 | 1+0=1 ; 7+5=12 ; 1+12=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=-8 | 8x+40=-8 ; 8x=-48 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 833+191 | p100:800+100=900 ; p10:30+90=120 ; p1:3+1=4 ; sum=900+120+4=1024 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 6, 1, 0 | [4,9,1,6,0] ; [1,4,6,9,0] ; [0,1,4,6,9] |
base_conversion | base_conversion:repeated-division | n=224,base=4 | DIV:224/4=56,r:0 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3200 |
base_conversion | base_conversion:decomposition | n=152,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10011000 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 9, 4, 2 | [2,7,9,4,3] ; [2,3,9,4,7] ; [2,3,4,9,7] ; [2,3,4,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 761+745 | round:770+745=1515 ; adjust:1515-9=1506 ; sum=1506 |
multidigit_addition | multidigit_addition:left-to-right-partials | 387+296 | p100:300+200=500 ; p10:80+90=170 ; p1:7+6=13 ; sum=500+170+13=683 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 718+793 | p100:700+700=1400 ; p10:10+90=100 ; p1:8+3=11 ; sum=1400+100+11=1511 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 3, 2, 7 | [8,9,3,2,7] ; [8,3,9,2,7] ; [8,3,2,9,7] ; [8,3,2,7,9] ; [3,8,2,7,9] ; [3,2,8,7,9] ; [3,2,7,8,9] ; [2,3,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=2 | 2x-12=2 ; x+-6=1 ; x=1--6 ; x=7 |
list_summation | list_summation:left-to-right | 6, 5, 2, 9 | 6+5=11 ; 11+2=13 ; 13+9=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 637+149 | d2:7+9+0=16→w6,c1 ; d1:3+4+1=8→w8,c0 ; d0:6+1+0=7→w7,c0 ; sum=786 |
list_summation | list_summation:pairwise | 9, 8, 8, 7 | 9+8=17 ; 8+7=15 ; 17+15=32 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
list_summation | list_summation:pairwise | 0, 1, 4, 2 | 0+1=1 ; 4+2=6 ; 1+6=7 |
list_summation | list_summation:left-to-right | 8, 0, 7, 2 | 8+0=8 ; 8+7=15 ; 15+2=17 |
list_summation | list_summation:left-to-right | 0, 1, 6, 6 | 0+1=1 ; 1+6=7 ; 7+6=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-35 | 7x-14=-35 ; 7x=-21 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 4, 8, 3 | [2,5,4,8,3] ; [2,3,4,8,5] ; [2,3,4,8,5] ; [2,3,4,5,8] |
base_conversion | base_conversion:decomposition | n=62,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:111110 |
base_conversion | base_conversion:via-binary | n=224,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3200 |
multidigit_addition | multidigit_addition:rounding-decomposition | 663+374 | round:670+374=1044 ; adjust:1044-7=1037 ; sum=1037 |
base_conversion | base_conversion:repeated-division | n=180,base=4 | DIV:180/4=45,r:0 ; DIV:45/4=11,r:1 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2310 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 4, 5, 9 | [6,8,4,5,9] ; [4,6,8,5,9] ; [4,5,6,8,9] ; [4,5,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-16 | 8x+0=-16 ; x=(-16-0)/8 ; x=-16/8 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-5 | 5x+5=-5 ; x=(-5-5)/5 ; x=-10/5 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 221+149 | d2:1+9+0=10→w0,c1 ; d1:2+4+1=7→w7,c0 ; d0:2+1+0=3→w3,c0 ; sum=370 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=14 | 2x+16=14 ; x=(14-16)/2 ; x=-2/2 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=72 | 6x+18=72 ; x+3=12 ; x=12-3 ; x=9 |
base_conversion | base_conversion:decomposition | n=8,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000 |
base_conversion | base_conversion:repeated-division | n=11,base=2 | DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 784+594 | d2:4+4+0=8→w8,c0 ; d1:8+9+0=17→w7,c1 ; d0:7+5+1=13→w3,c1 ; sum=1378 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 3, 7, 6 | [8,7,3,0,6] ; [6,7,3,0,8] ; [7,6,3,0,8] ; [0,6,3,7,8] ; [6,0,3,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=18 | 2x+12=18 ; 2x=6 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 8, 3, 9 | [4,5,3,8,9] ; [4,3,5,8,9] ; [3,4,5,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 8, 3, 7 | [1,7,8,3,4] ; [8,7,1,3,4] ; [4,7,1,3,8] ; [7,4,1,3,8] ; [3,4,1,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 381+611 | round:390+611=1001 ; adjust:1001-9=992 ; sum=992 |
base_conversion | base_conversion:repeated-division | n=164,base=2 | DIV:164/2=82,r:0 ; DIV:82/2=41,r:0 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; 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:10100100 |
base_conversion | base_conversion:decomposition | n=75,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1001011 |
base_conversion | base_conversion:via-binary | n=220,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11011100 |
base_conversion | base_conversion:decomposition | n=2,base=8 | TERM:2*8^0=2 ; OUT:2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 635+239 | round:640+239=879 ; adjust:879-5=874 ; sum=874 |
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:repeated-division | n=71,base=16 | DIV:71/16=4,r:7 ; DIV:4/16=0,r:4 ; OUT:47 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=-9 | 9x-45=-9 ; x=(-9--45)/9 ; x=36/9 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=-6 | 3x+21=-6 ; x+7=-2 ; x=-2-7 ; x=-9 |
list_summation | list_summation:pairwise | 6, 0, 3, 0 | 6+0=6 ; 3+0=3 ; 6+3=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 0, 6, 2 | [8,5,0,6,2] ; [8,6,0,5,2] ; [2,6,0,5,8] ; [6,2,0,5,8] ; [6,5,0,2,8] ; [2,5,0,6,8] ; [5,2,0,6,8] ; [0,2,5,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8] |
base_conversion | base_conversion:decomposition | n=173,base=16 | TERM:10*16^1=160 ; TERM:13*16^0=13 ; OUT:AD |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,3) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
list_summation | list_summation:pairwise | 0, 5, 0, 2 | 0+5=5 ; 0+2=2 ; 5+2=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 4, 8, 2 | [3,7,4,8,2] ; [3,4,7,8,2] ; [3,4,7,2,8] ; [3,4,2,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=-10 | 5x-25=-10 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=6 | 2x-8=6 ; x+-4=3 ; x=3--4 ; x=7 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 2, 6, 7 | [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
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