task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 983+434 | p100:900+400=1300 ; p10:80+30=110 ; p1:3+4=7 ; sum=1300+110+7=1417 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 2, 8, 9 | [5,9,2,8,3] ; [9,5,2,8,3] ; [9,8,2,5,3] ; [3,8,2,5,9] ; [8,3,2,5,9] ; [8,5,2,3,9] ; [3,5,2,8,9] ; [5,3,2,8,9] ; [2,3,5,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-6=-21 | 3x-6=-21 ; x=(-21--6)/3 ; x=-15/3 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
base_conversion | base_conversion:via-binary | n=175,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:257 |
list_summation | list_summation:left-to-right | 3, 6, 1, 8 | 3+6=9 ; 9+1=10 ; 10+8=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 364+683 | round:370+683=1053 ; adjust:1053-6=1047 ; sum=1047 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 9, 6, 0 | [0,3,9,6,7] ; [0,3,9,6,7] ; [0,3,6,9,7] ; [0,3,6,7,9] |
list_summation | list_summation:right-to-left | 0, 9, 1, 4 | 1+4=5 ; 9+5=14 ; 0+14=14 |
list_summation | list_summation:right-to-left | 9, 9, 3, 0 | 3+0=3 ; 9+3=12 ; 9+12=21 |
list_summation | list_summation:pairwise | 9, 3, 1, 5 | 9+3=12 ; 1+5=6 ; 12+6=18 |
list_summation | list_summation:pairwise | 6, 8, 3, 9 | 6+8=14 ; 3+9=12 ; 14+12=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 309+964 | d2:9+4+0=13→w3,c1 ; d1:0+6+1=7→w7,c0 ; d0:3+9+0=12→w2,c1 ; sum=1273 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 2, 7, 3 | [0,2,8,7,3] ; [0,2,7,8,3] ; [0,2,7,3,8] ; [0,2,3,7,8] |
base_conversion | base_conversion:repeated-division | n=132,base=2 | DIV:132/2=66,r:0 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000100 |
base_conversion | base_conversion:via-binary | n=98,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:2 ; OUT:62 |
list_summation | list_summation:right-to-left | 6, 6, 7, 2 | 7+2=9 ; 6+9=15 ; 6+15=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 153+249 | round:160+249=409 ; adjust:409-7=402 ; sum=402 |
multidigit_addition | multidigit_addition:right-to-left-carry | 946+905 | d2:6+5+0=11→w1,c1 ; d1:4+0+1=5→w5,c0 ; d0:9+9+0=18→w8,c1 ; sum=1851 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,4) | R:(1,3) ; R:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 467+962 | p100:400+900=1300 ; p10:60+60=120 ; p1:7+2=9 ; sum=1300+120+9=1429 |
multidigit_addition | multidigit_addition:rounding-decomposition | 881+654 | round:890+654=1544 ; adjust:1544-9=1535 ; sum=1535 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 4, 1, 8 | [1,6,4,2,8] ; [1,2,4,6,8] ; [1,2,4,6,8] ; [1,2,4,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; R:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 235+633 | d2:5+3+0=8→w8,c0 ; d1:3+3+0=6→w6,c0 ; d0:2+6+0=8→w8,c0 ; sum=868 |
multidigit_addition | multidigit_addition:rounding-decomposition | 204+920 | round:210+920=1130 ; adjust:1130-6=1124 ; sum=1124 |
base_conversion | base_conversion:repeated-division | n=239,base=2 | DIV:239/2=119,r:1 ; DIV:119/2=59,r:1 ; 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:11101111 |
list_summation | list_summation:left-to-right | 0, 7, 2, 0 | 0+7=7 ; 7+2=9 ; 9+0=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 575+736 | d2:5+6+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:5+7+1=13→w3,c1 ; sum=1311 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 461+984 | p100:400+900=1300 ; p10:60+80=140 ; p1:1+4=5 ; sum=1300+140+5=1445 |
base_conversion | base_conversion:repeated-division | n=92,base=2 | DIV:92/2=46,r:0 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; 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:1011100 |
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 |
list_summation | list_summation:left-to-right | 1, 4, 5, 1 | 1+4=5 ; 5+5=10 ; 10+1=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 290+123 | p100:200+100=300 ; p10:90+20=110 ; p1:0+3=3 ; sum=300+110+3=413 |
multidigit_addition | multidigit_addition:left-to-right-partials | 725+775 | p100:700+700=1400 ; p10:20+70=90 ; p1:5+5=10 ; sum=1400+90+10=1500 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 5, 4, 6 | [1,2,4,5,6] |
base_conversion | base_conversion:decomposition | n=11,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 795+887 | d2:5+7+0=12→w2,c1 ; d1:9+8+1=18→w8,c1 ; d0:7+8+1=16→w6,c1 ; sum=1682 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=21 | 3x+27=21 ; x+9=7 ; x=7-9 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=0 | 8x+32=0 ; 8x=-32 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 728+990 | p100:700+900=1600 ; p10:20+90=110 ; p1:8+0=8 ; sum=1600+110+8=1718 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,5) | D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=-21 | 7x+14=-21 ; 7x=-35 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-12 | 4x-36=-12 ; x+-9=-3 ; x=-3--9 ; x=6 |
base_conversion | base_conversion:via-binary | n=228,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:4 ; OUT:344 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=56 | 8x+64=56 ; 8x=-8 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+35=5 | 5x+35=5 ; x+7=1 ; x=1-7 ; x=-6 |
base_conversion | base_conversion:decomposition | n=47,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:1*2^0=1 ; OUT:101111 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 3, 6, 0 | [0,4,3,6,1] ; [0,1,3,6,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 770+417 | d2:0+7+0=7→w7,c0 ; d1:7+1+0=8→w8,c0 ; d0:7+4+0=11→w1,c1 ; sum=1187 |
list_summation | list_summation:right-to-left | 6, 0, 7, 8 | 7+8=15 ; 0+15=15 ; 6+15=21 |
base_conversion | base_conversion:via-binary | n=238,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:6 ; OUT:356 |
multidigit_addition | multidigit_addition:left-to-right-partials | 218+819 | p100:200+800=1000 ; p10:10+10=20 ; p1:8+9=17 ; sum=1000+20+17=1037 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
base_conversion | base_conversion:via-binary | n=91,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1011011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 231+180 | round:240+180=420 ; adjust:420-9=411 ; sum=411 |
base_conversion | base_conversion:decomposition | n=98,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1100010 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 3, 6, 1 | [0,2,3,6,1] ; [0,2,3,6,1] ; [0,2,3,6,1] ; [0,1,2,3,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 724+461 | p100:700+400=1100 ; p10:20+60=80 ; p1:4+1=5 ; sum=1100+80+5=1185 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 283+672 | d2:3+2+0=5→w5,c0 ; d1:8+7+0=15→w5,c1 ; d0:2+6+1=9→w9,c0 ; sum=955 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 3, 4, 1, 8 | 3+4=7 ; 7+1=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 536+919 | p100:500+900=1400 ; p10:30+10=40 ; p1:6+9=15 ; sum=1400+40+15=1455 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 3, 1, 6 | [4,8,3,1,6] ; [3,4,8,1,6] ; [1,3,4,8,6] ; [1,3,4,6,8] |
list_summation | list_summation:pairwise | 3, 0, 8, 2 | 3+0=3 ; 8+2=10 ; 3+10=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=28 | 7x-7=28 ; x+-1=4 ; x=4--1 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 764+744 | round:770+744=1514 ; adjust:1514-6=1508 ; sum=1508 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=99 | 9x+72=99 ; 9x=27 ; x=3 |
list_summation | list_summation:right-to-left | 1, 8, 9, 8 | 9+8=17 ; 8+17=25 ; 1+25=26 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=216,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:8 ; OUT:D8 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 6, 2, 1 | [5,2,6,0,1] ; [6,2,5,0,1] ; [1,2,5,0,6] ; [5,2,1,0,6] ; [0,2,1,5,6] ; [2,0,1,5,6] ; [1,0,2,5,6] ; [0,1,2,5,6] |
base_conversion | base_conversion:via-binary | n=55,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:7 ; OUT:37 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-56 | 7x-42=-56 ; 7x=-14 ; x=-2 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 8, 7, 0 | [0,4,8,7,9] ; [0,4,8,7,9] ; [0,4,7,8,9] ; [0,4,7,8,9] |
base_conversion | base_conversion:repeated-division | n=52,base=8 | DIV:52/8=6,r:4 ; DIV:6/8=0,r:6 ; OUT:64 |
multidigit_addition | multidigit_addition:right-to-left-carry | 617+907 | d2:7+7+0=14→w4,c1 ; d1:1+0+1=2→w2,c0 ; d0:6+9+0=15→w5,c1 ; sum=1524 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=54 | 9x+9=54 ; x+1=6 ; x=6-1 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=40,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:0 ; OUT:50 |
list_summation | list_summation:right-to-left | 8, 7, 7, 5 | 7+5=12 ; 7+12=19 ; 8+19=27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+771 | d2:5+1+0=6→w6,c0 ; d1:6+7+0=13→w3,c1 ; d0:2+7+1=10→w0,c1 ; sum=1036 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=28 | 7x+7=28 ; x+1=4 ; x=4-1 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-21 | 7x-7=-21 ; 7x=-14 ; x=-2 |
base_conversion | base_conversion:decomposition | n=198,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:6*8^0=6 ; OUT:306 |
multidigit_addition | multidigit_addition:right-to-left-carry | 625+118 | d2:5+8+0=13→w3,c1 ; d1:2+1+1=4→w4,c0 ; d0:6+1+0=7→w7,c0 ; sum=743 |
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