task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 664+324 | round:670+324=994 ; adjust:994-6=988 ; sum=988 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=212,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 104+343 | round:110+343=453 ; adjust:453-6=447 ; sum=447 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 9, 5, 2 | [2,3,9,5,6] ; [2,3,9,5,6] ; [2,3,5,9,6] ; [2,3,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 6, 3, 7 | [8,2,6,3,7] ; [8,7,6,3,2] ; [2,7,6,3,8] ; [7,2,6,3,8] ; [7,3,6,2,8] ; [2,3,6,7,8] ; [6,3,2,7,8] ; [2,3,6,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8] |
list_summation | list_summation:right-to-left | 6, 9, 6, 6 | 6+6=12 ; 9+12=21 ; 6+21=27 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 3, 2, 4 | [5,7,2,3,4] ; [2,3,5,7,4] ; [2,3,4,5,7] |
base_conversion | base_conversion:decomposition | n=122,base=16 | TERM:7*16^1=112 ; TERM:10*16^0=10 ; OUT:7A |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 2, 9, 0 | [3,9,2,4,0] ; [9,3,2,4,0] ; [9,4,2,3,0] ; [0,4,2,3,9] ; [4,0,2,3,9] ; [4,3,2,0,9] ; [0,3,2,4,9] ; [3,0,2,4,9] ; [2,0,3,4,9] ; [0,2,3,4,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=153,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:231 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=14 | 7x+35=14 ; x=(14-35)/7 ; x=-21/7 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 3, 1, 7 | [1,9,3,4,7] ; [1,3,9,4,7] ; [1,3,4,9,7] ; [1,3,4,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 8, 4, 3 | [5,6,8,4,3] ; [5,6,4,8,3] ; [5,6,4,3,8] ; [5,4,6,3,8] ; [5,4,3,6,8] ; [4,5,3,6,8] ; [4,3,5,6,8] ; [3,4,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 2, 3, 2, 7 | 2+3=5 ; 2+7=9 ; 5+9=14 |
base_conversion | base_conversion:repeated-division | n=43,base=4 | DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:223 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,5) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 1, 6, 4, 0 | 4+0=4 ; 6+4=10 ; 1+10=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 6, 3, 4, 1 | 4+1=5 ; 3+5=8 ; 6+8=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=6 | 3x+0=6 ; 3x=6 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 8, 5, 1 | [0,6,8,5,1] ; [0,6,5,8,1] ; [0,6,5,1,8] ; [0,5,6,1,8] ; [0,5,1,6,8] ; [0,1,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 256+361 | round:260+361=621 ; adjust:621-4=617 ; sum=617 |
list_summation | list_summation:pairwise | 9, 8, 5, 9 | 9+8=17 ; 5+9=14 ; 17+14=31 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=-30 | 5x+15=-30 ; x=(-30-15)/5 ; x=-45/5 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,2) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 946+666 | p100:900+600=1500 ; p10:40+60=100 ; p1:6+6=12 ; sum=1500+100+12=1612 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 9, 8, 0 | [0,5,9,8,6] ; [0,5,9,8,6] ; [0,5,6,8,9] ; [0,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
list_summation | list_summation:right-to-left | 0, 4, 2, 5 | 2+5=7 ; 4+7=11 ; 0+11=11 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=-8 | 4x+20=-8 ; x+5=-2 ; x=-2-5 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=96 | 8x+72=96 ; x=(96-72)/8 ; x=24/8 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 6, 9, 0 | [0,4,6,9,1] ; [0,1,6,9,4] ; [0,1,4,9,6] ; [0,1,4,6,9] |
list_summation | list_summation:left-to-right | 7, 7, 4, 3 | 7+7=14 ; 14+4=18 ; 18+3=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 253+262 | d2:3+2+0=5→w5,c0 ; d1:5+6+0=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=515 |
list_summation | list_summation:right-to-left | 1, 9, 2, 8 | 2+8=10 ; 9+10=19 ; 1+19=20 |
list_summation | list_summation:left-to-right | 0, 5, 5, 3 | 0+5=5 ; 5+5=10 ; 10+3=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=0 | 4x-4=0 ; x=(0--4)/4 ; x=4/4 ; x=1 |
base_conversion | base_conversion:decomposition | n=245,base=16 | TERM:15*16^1=240 ; TERM:5*16^0=5 ; OUT:F5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-80 | 8x-64=-80 ; x+-8=-10 ; x=-10--8 ; x=-2 |
base_conversion | base_conversion:via-binary | n=160,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:0 ; OUT:A0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 968+716 | p100:900+700=1600 ; p10:60+10=70 ; p1:8+6=14 ; sum=1600+70+14=1684 |
base_conversion | base_conversion:decomposition | n=89,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1121 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=43,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:101011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=-8 | 2x+8=-8 ; 2x=-16 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 631+730 | d2:1+0+0=1→w1,c0 ; d1:3+3+0=6→w6,c0 ; d0:6+7+0=13→w3,c1 ; sum=1361 |
multidigit_addition | multidigit_addition:left-to-right-partials | 505+517 | p100:500+500=1000 ; p10:0+10=10 ; p1:5+7=12 ; sum=1000+10+12=1022 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 0, 5, 1 | [4,5,0,2,1] ; [5,4,0,2,1] ; [1,4,0,2,5] ; [4,1,0,2,5] ; [4,2,0,1,5] ; [1,2,0,4,5] ; [2,1,0,4,5] ; [0,1,2,4,5] ; [1,0,2,4,5] ; [0,1,2,4,5] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 3, 0, 6 | [8,4,3,0,6] ; [8,6,3,0,4] ; [4,6,3,0,8] ; [6,4,3,0,8] ; [0,4,3,6,8] ; [4,0,3,6,8] ; [3,0,4,6,8] ; [0,3,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 467+240 | round:470+240=710 ; adjust:710-3=707 ; sum=707 |
base_conversion | base_conversion:decomposition | n=129,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:201 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-32 | 8x-64=-32 ; x=(-32--64)/8 ; x=32/8 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 4, 9, 2 | [1,9,4,7,2] ; [9,1,4,7,2] ; [9,7,4,1,2] ; [2,7,4,1,9] ; [7,2,4,1,9] ; [1,2,4,7,9] ; [4,2,1,7,9] ; [1,2,4,7,9] ; [2,1,4,7,9] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 3, 8, 7 | [2,6,3,8,7] ; [2,3,6,8,7] ; [2,3,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 3, 5, 4 | [0,7,3,5,4] ; [0,3,5,7,4] ; [0,3,4,5,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 1, 7, 4 | [2,3,1,7,4] ; [1,2,3,7,4] ; [1,2,3,7,4] ; [1,2,3,4,7] |
base_conversion | base_conversion:via-binary | n=186,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2322 |
base_conversion | base_conversion:repeated-division | n=176,base=16 | DIV:176/16=11,r:0 ; DIV:11/16=0,r:11 ; OUT:B0 |
base_conversion | base_conversion:decomposition | n=100,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:144 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-24=3 | 3x-24=3 ; x=(3--24)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 810+540 | d2:0+0+0=0→w0,c0 ; d1:1+4+0=5→w5,c0 ; d0:8+5+0=13→w3,c1 ; sum=1350 |
multidigit_addition | multidigit_addition:right-to-left-carry | 920+348 | d2:0+8+0=8→w8,c0 ; d1:2+4+0=6→w6,c0 ; d0:9+3+0=12→w2,c1 ; sum=1268 |
multidigit_addition | multidigit_addition:left-to-right-partials | 719+234 | p100:700+200=900 ; p10:10+30=40 ; p1:9+4=13 ; sum=900+40+13=953 |
multidigit_addition | multidigit_addition:rounding-decomposition | 611+534 | round:620+534=1154 ; adjust:1154-9=1145 ; sum=1145 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 4, 1, 7 | [8,4,9,1,7] ; [8,4,1,9,7] ; [8,4,1,7,9] ; [4,8,1,7,9] ; [4,1,8,7,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 438+880 | d2:8+0+0=8→w8,c0 ; d1:3+8+0=11→w1,c1 ; d0:4+8+1=13→w3,c1 ; sum=1318 |
multidigit_addition | multidigit_addition:left-to-right-partials | 346+770 | p100:300+700=1000 ; p10:40+70=110 ; p1:6+0=6 ; sum=1000+110+6=1116 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:decomposition | n=111,base=2 | TERM:1*2^6=64 ; 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:1101111 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 7, 3, 1 | [1,4,7,3,8] ; [1,3,7,4,8] ; [1,3,4,7,8] ; [1,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=203,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3023 |
list_summation | list_summation:left-to-right | 0, 0, 4, 5 | 0+0=0 ; 0+4=4 ; 4+5=9 |
base_conversion | base_conversion:decomposition | n=35,base=16 | TERM:2*16^1=32 ; TERM:3*16^0=3 ; OUT:23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 9, 8, 6, 8 | 9+8=17 ; 6+8=14 ; 17+14=31 |
base_conversion | base_conversion:repeated-division | n=144,base=8 | DIV:144/8=18,r:0 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:220 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 5, 9, 6 | [1,7,5,9,6] ; [1,5,7,9,6] ; [1,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-70 | 7x-28=-70 ; x+-4=-10 ; x=-10--4 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=-5 | 5x+25=-5 ; x=(-5-25)/5 ; x=-30/5 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 357+773 | p100:300+700=1000 ; p10:50+70=120 ; p1:7+3=10 ; sum=1000+120+10=1130 |
list_summation | list_summation:right-to-left | 4, 3, 2, 3 | 2+3=5 ; 3+5=8 ; 4+8=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=45 | 9x+36=45 ; x=(45-36)/9 ; x=9/9 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=10 | 5x+10=10 ; 5x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 381+590 | p100:300+500=800 ; p10:80+90=170 ; p1:1+0=1 ; sum=800+170+1=971 |
base_conversion | base_conversion:repeated-division | n=254,base=2 | DIV:254/2=127,r:0 ; DIV:127/2=63,r:1 ; DIV:63/2=31,r:1 ; 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:11111110 |
list_summation | list_summation:pairwise | 1, 0, 8, 1 | 1+0=1 ; 8+1=9 ; 1+9=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=-36 | 4x-4=-36 ; 4x=-32 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 218+344 | d2:8+4+0=12→w2,c1 ; d1:1+4+1=6→w6,c0 ; d0:2+3+0=5→w5,c0 ; sum=562 |
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