task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 6, 3, 0 | [2,8,6,3,0] ; [2,6,8,3,0] ; [2,3,6,8,0] ; [0,2,3,6,8] |
base_conversion | base_conversion:via-binary | n=108,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1101100 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 4, 5, 0 | [1,9,4,5,0] ; [1,4,9,5,0] ; [1,4,5,9,0] ; [0,1,4,5,9] |
base_conversion | base_conversion:via-binary | n=167,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:7 ; OUT:247 |
list_summation | list_summation:pairwise | 0, 0, 4, 6 | 0+0=0 ; 4+6=10 ; 0+10=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 431+683 | p100:400+600=1000 ; p10:30+80=110 ; p1:1+3=4 ; sum=1000+110+4=1114 |
list_summation | list_summation:pairwise | 8, 9, 9, 7 | 8+9=17 ; 9+7=16 ; 17+16=33 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=0 | 9x-9=0 ; x+-1=0 ; x=0--1 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 9, 0, 1 | [9,7,8,0,1] ; [1,7,8,0,9] ; [8,7,1,0,9] ; [0,7,1,8,9] ; [7,0,1,8,9] ; [1,0,7,8,9] ; [0,1,7,8,9] |
list_summation | list_summation:pairwise | 9, 4, 5, 6 | 9+4=13 ; 5+6=11 ; 13+11=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 827+658 | p100:800+600=1400 ; p10:20+50=70 ; p1:7+8=15 ; sum=1400+70+15=1485 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 9, 5, 6 | [9,7,2,5,6] ; [6,7,2,5,9] ; [7,6,2,5,9] ; [5,6,2,7,9] ; [6,5,2,7,9] ; [2,5,6,7,9] ; [5,2,6,7,9] ; [2,5,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 440+764 | round:440+764=1204 ; adjust:1204-0=1204 ; sum=1204 |
multidigit_addition | multidigit_addition:rounding-decomposition | 440+142 | round:440+142=582 ; adjust:582-0=582 ; sum=582 |
base_conversion | base_conversion:decomposition | n=76,base=16 | TERM:4*16^1=64 ; TERM:12*16^0=12 ; OUT:4C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=249,base=16 | DIV:249/16=15,r:9 ; DIV:15/16=0,r:15 ; OUT:F9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 389+642 | d2:9+2+0=11→w1,c1 ; d1:8+4+1=13→w3,c1 ; d0:3+6+1=10→w0,c1 ; sum=1031 |
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:pairwise | 3, 8, 4, 6 | 3+8=11 ; 4+6=10 ; 11+10=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=55 | 5x+25=55 ; 5x=30 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; D:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 7, 8, 6 | [0,3,7,8,6] ; [0,3,7,8,6] ; [0,3,6,8,7] ; [0,3,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 950+526 | d2:0+6+0=6→w6,c0 ; d1:5+2+0=7→w7,c0 ; d0:9+5+0=14→w4,c1 ; sum=1476 |
multidigit_addition | multidigit_addition:right-to-left-carry | 715+351 | d2:5+1+0=6→w6,c0 ; d1:1+5+0=6→w6,c0 ; d0:7+3+0=10→w0,c1 ; sum=1066 |
base_conversion | base_conversion:via-binary | n=188,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:2330 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 1, 5, 7 | [8,2,1,5,7] ; [8,7,1,5,2] ; [2,7,1,5,8] ; [7,2,1,5,8] ; [7,5,1,2,8] ; [2,5,1,7,8] ; [5,2,1,7,8] ; [1,2,5,7,8] ; [2,1,5,7,8] ; [1,2,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 446+891 | p100:400+800=1200 ; p10:40+90=130 ; p1:6+1=7 ; sum=1200+130+7=1337 |
multidigit_addition | multidigit_addition:left-to-right-partials | 191+860 | p100:100+800=900 ; p10:90+60=150 ; p1:1+0=1 ; sum=900+150+1=1051 |
multidigit_addition | multidigit_addition:rounding-decomposition | 155+958 | round:160+958=1118 ; adjust:1118-5=1113 ; sum=1113 |
multidigit_addition | multidigit_addition:left-to-right-partials | 496+181 | p100:400+100=500 ; p10:90+80=170 ; p1:6+1=7 ; sum=500+170+7=677 |
multidigit_addition | multidigit_addition:rounding-decomposition | 510+886 | round:510+886=1396 ; adjust:1396-0=1396 ; sum=1396 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 994+655 | d2:4+5+0=9→w9,c0 ; d1:9+5+0=14→w4,c1 ; d0:9+6+1=16→w6,c1 ; sum=1649 |
list_summation | list_summation:right-to-left | 6, 5, 9, 5 | 9+5=14 ; 5+14=19 ; 6+19=25 |
list_summation | list_summation:right-to-left | 7, 4, 8, 2 | 8+2=10 ; 4+10=14 ; 7+14=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 324+869 | p100:300+800=1100 ; p10:20+60=80 ; p1:4+9=13 ; sum=1100+80+13=1193 |
base_conversion | base_conversion:decomposition | n=240,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11110000 |
list_summation | list_summation:left-to-right | 9, 5, 1, 9 | 9+5=14 ; 14+1=15 ; 15+9=24 |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+293 | d2:0+3+0=3→w3,c0 ; d1:0+9+0=9→w9,c0 ; d0:4+2+0=6→w6,c0 ; sum=693 |
multidigit_addition | multidigit_addition:rounding-decomposition | 945+242 | round:950+242=1192 ; adjust:1192-5=1187 ; sum=1187 |
list_summation | list_summation:right-to-left | 5, 7, 8, 6 | 8+6=14 ; 7+14=21 ; 5+21=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-10 | 2x-16=-10 ; 2x=6 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 1, 2, 0 | [3,5,1,2,0] ; [1,3,5,2,0] ; [1,2,3,5,0] ; [0,1,2,3,5] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 2, 4, 5 | [3,6,2,4,5] ; [2,3,6,4,5] ; [2,3,4,6,5] ; [2,3,4,5,6] |
list_summation | list_summation:pairwise | 1, 2, 7, 3 | 1+2=3 ; 7+3=10 ; 3+10=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 7, 3, 4, 1 | [7,0,3,4,1] ; [7,4,3,0,1] ; [1,4,3,0,7] ; [4,1,3,0,7] ; [0,1,3,4,7] ; [3,1,0,4,7] ; [0,1,3,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 725+723 | p100:700+700=1400 ; p10:20+20=40 ; p1:5+3=8 ; sum=1400+40+8=1448 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 5, 3, 0 | [0,9,5,3,7] ; [0,3,5,9,7] ; [0,3,5,9,7] ; [0,3,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 3, 7, 5 | [3,4,6,7,5] ; [3,4,6,7,5] ; [3,4,5,7,6] ; [3,4,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 300+555 | d2:0+5+0=5→w5,c0 ; d1:0+5+0=5→w5,c0 ; d0:3+5+0=8→w8,c0 ; sum=855 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-14 | 7x-21=-14 ; x+-3=-2 ; x=-2--3 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 406+152 | p100:400+100=500 ; p10:0+50=50 ; p1:6+2=8 ; sum=500+50+8=558 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 8, 6, 4 | [1,2,6,8,4] ; [1,2,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,5) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 4, 8, 9 | [3,4,5,8,9] |
list_summation | list_summation:left-to-right | 7, 9, 4, 4 | 7+9=16 ; 16+4=20 ; 20+4=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 1, 8, 7 | [2,5,1,8,7] ; [1,2,5,8,7] ; [1,2,5,8,7] ; [1,2,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=30 | 5x+0=30 ; x=(30-0)/5 ; x=30/5 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 312+782 | round:320+782=1102 ; adjust:1102-8=1094 ; sum=1094 |
multidigit_addition | multidigit_addition:right-to-left-carry | 283+196 | d2:3+6+0=9→w9,c0 ; d1:8+9+0=17→w7,c1 ; d0:2+1+1=4→w4,c0 ; sum=479 |
multidigit_addition | multidigit_addition:left-to-right-partials | 208+786 | p100:200+700=900 ; p10:0+80=80 ; p1:8+6=14 ; sum=900+80+14=994 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 1, 5, 3 | [4,8,1,5,3] ; [1,4,8,5,3] ; [1,4,5,8,3] ; [1,3,4,5,8] |
base_conversion | base_conversion:repeated-division | n=176,base=16 | DIV:176/16=11,r:0 ; DIV:11/16=0,r:11 ; OUT:B0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+431 | p100:700+400=1100 ; p10:30+30=60 ; p1:0+1=1 ; sum=1100+60+1=1161 |
list_summation | list_summation:right-to-left | 8, 9, 2, 7 | 2+7=9 ; 9+9=18 ; 8+18=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-54 | 6x-30=-54 ; x=(-54--30)/6 ; x=-24/6 ; x=-4 |
base_conversion | base_conversion:decomposition | n=157,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:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10011101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=80 | 8x+72=80 ; 8x=8 ; x=1 |
base_conversion | base_conversion:via-binary | n=7,base=2 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=3 | 3x+3=3 ; x+1=1 ; x=1-1 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 998+407 | d2:8+7+0=15→w5,c1 ; d1:9+0+1=10→w0,c1 ; d0:9+4+1=14→w4,c1 ; sum=1405 |
list_summation | list_summation:pairwise | 8, 2, 9, 9 | 8+2=10 ; 9+9=18 ; 10+18=28 |
base_conversion | base_conversion:repeated-division | n=246,base=2 | DIV:246/2=123,r:0 ; DIV:123/2=61,r:1 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; 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:11110110 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 8, 1, 2 | [3,5,8,1,2] ; [3,5,8,1,2] ; [1,3,5,8,2] ; [1,2,3,5,8] |
list_summation | list_summation:left-to-right | 3, 8, 3, 4 | 3+8=11 ; 11+3=14 ; 14+4=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 698+301 | p100:600+300=900 ; p10:90+0=90 ; p1:8+1=9 ; sum=900+90+9=999 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=14 | 7x-7=14 ; x+-1=2 ; x=2--1 ; x=3 |
list_summation | list_summation:pairwise | 2, 8, 4, 0 | 2+8=10 ; 4+0=4 ; 10+4=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=24 | 4x+36=24 ; 4x=-12 ; x=-3 |
list_summation | list_summation:left-to-right | 8, 5, 8, 6 | 8+5=13 ; 13+8=21 ; 21+6=27 |
multidigit_addition | multidigit_addition:left-to-right-partials | 721+532 | p100:700+500=1200 ; p10:20+30=50 ; p1:1+2=3 ; sum=1200+50+3=1253 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 9, 0, 4 | [2,7,9,0,4] ; [2,7,9,0,4] ; [0,2,7,9,4] ; [0,2,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,2) | D:(3,0) ; R:(3,1) ; R:(3,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 2, 0, 4, 9 | [1,2,0,4,9] ; [0,1,2,4,9] ; [0,1,2,4,9] ; [0,1,2,4,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 1, 3, 2 | [6,8,1,3,2] ; [1,6,8,3,2] ; [1,3,6,8,2] ; [1,2,3,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=25 | 5x+30=25 ; x+6=5 ; x=5-6 ; x=-1 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 6, 7, 3 | [6,7,8,9,3] ; [3,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=0 | 5x-15=0 ; x=(0--15)/5 ; x=15/5 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 4, 2, 8 | [3,9,4,2,8] ; [3,4,9,2,8] ; [3,4,2,9,8] ; [3,4,2,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=-24 | 6x-6=-24 ; x=(-24--6)/6 ; x=-18/6 ; x=-3 |
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