task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 933+708 | d2:3+8+0=11→w1,c1 ; d1:3+0+1=4→w4,c0 ; d0:9+7+0=16→w6,c1 ; sum=1641 |
base_conversion | base_conversion:repeated-division | n=158,base=8 | DIV:158/8=19,r:6 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:236 |
base_conversion | base_conversion:decomposition | n=108,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1230 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 529+758 | p100:500+700=1200 ; p10:20+50=70 ; p1:9+8=17 ; sum=1200+70+17=1287 |
list_summation | list_summation:pairwise | 2, 9, 5, 3 | 2+9=11 ; 5+3=8 ; 11+8=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 9, 0, 6 | [3,7,9,0,6] ; [3,7,0,9,6] ; [0,3,7,9,6] ; [0,3,6,7,9] |
base_conversion | base_conversion:via-binary | n=10,base=16 | BINLEN:4 ; CHUNK:0:10 ; OUT:A |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 9, 8, 1, 4 | 9+8=17 ; 1+4=5 ; 17+5=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 984+812 | round:990+812=1802 ; adjust:1802-6=1796 ; sum=1796 |
base_conversion | base_conversion:via-binary | n=2,base=4 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
base_conversion | base_conversion:decomposition | n=181,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2311 |
base_conversion | base_conversion:repeated-division | n=234,base=16 | DIV:234/16=14,r:10 ; DIV:14/16=0,r:14 ; OUT:EA |
multidigit_addition | multidigit_addition:rounding-decomposition | 340+567 | round:340+567=907 ; adjust:907-0=907 ; sum=907 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 7, 3, 4 | [2,6,7,3,4] ; [2,6,3,7,4] ; [2,6,3,4,7] ; [2,3,6,4,7] ; [2,3,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 185+992 | p100:100+900=1000 ; p10:80+90=170 ; p1:5+2=7 ; sum=1000+170+7=1177 |
multidigit_addition | multidigit_addition:left-to-right-partials | 717+590 | p100:700+500=1200 ; p10:10+90=100 ; p1:7+0=7 ; sum=1200+100+7=1307 |
list_summation | list_summation:left-to-right | 1, 2, 1, 3 | 1+2=3 ; 3+1=4 ; 4+3=7 |
base_conversion | base_conversion:repeated-division | n=125,base=2 | DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; 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:1111101 |
base_conversion | base_conversion:decomposition | n=68,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000100 |
multidigit_addition | multidigit_addition:right-to-left-carry | 235+897 | d2:5+7+0=12→w2,c1 ; d1:3+9+1=13→w3,c1 ; d0:2+8+1=11→w1,c1 ; sum=1132 |
list_summation | list_summation:left-to-right | 9, 7, 9, 7 | 9+7=16 ; 16+9=25 ; 25+7=32 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 3, 0, 8 | [2,6,3,0,8] ; [2,3,6,0,8] ; [0,2,3,6,8] ; [0,2,3,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 549+134 | round:550+134=684 ; adjust:684-1=683 ; sum=683 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-32=-24 | 8x-32=-24 ; x=(-24--32)/8 ; x=8/8 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 217+783 | d2:7+3+0=10→w0,c1 ; d1:1+8+1=10→w0,c1 ; d0:2+7+1=10→w0,c1 ; sum=1000 |
list_summation | list_summation:right-to-left | 3, 1, 1, 2 | 1+2=3 ; 1+3=4 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 7, 3, 8 | [0,9,7,3,8] ; [0,7,9,3,8] ; [0,7,3,9,8] ; [0,7,3,8,9] ; [0,3,7,8,9] |
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:left-to-right-partials | 898+589 | p100:800+500=1300 ; p10:90+80=170 ; p1:8+9=17 ; sum=1300+170+17=1487 |
list_summation | list_summation:left-to-right | 2, 7, 5, 9 | 2+7=9 ; 9+5=14 ; 14+9=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=65 | 5x+35=65 ; 5x=30 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=80 | 8x+24=80 ; x+3=10 ; x=10-3 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 788+431 | d2:8+1+0=9→w9,c0 ; d1:8+3+0=11→w1,c1 ; d0:7+4+1=12→w2,c1 ; sum=1219 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=24 | 8x+56=24 ; x=(24-56)/8 ; x=-32/8 ; x=-4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 7, 2, 9 | [0,8,7,2,9] ; [0,7,8,2,9] ; [0,7,2,8,9] ; [0,2,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 136+607 | p100:100+600=700 ; p10:30+0=30 ; p1:6+7=13 ; sum=700+30+13=743 |
base_conversion | base_conversion:via-binary | n=138,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:10 ; OUT:8A |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+40=16 | 8x+40=16 ; x+5=2 ; x=2-5 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 837+636 | p100:800+600=1400 ; p10:30+30=60 ; p1:7+6=13 ; sum=1400+60+13=1473 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 4, 3, 5 | [6,5,4,3,2] ; [2,5,4,3,6] ; [5,2,4,3,6] ; [5,3,4,2,6] ; [2,3,4,5,6] ; [4,3,2,5,6] ; [2,3,4,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=-36 | 9x+36=-36 ; x+4=-4 ; x=-4-4 ; x=-8 |
base_conversion | base_conversion:decomposition | n=27,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,3) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=0 | 4x+32=0 ; 4x=-32 ; x=-8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 710+696 | round:710+696=1406 ; adjust:1406-0=1406 ; sum=1406 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 9, 2, 8, 4 | [9,6,2,8,4] ; [9,8,2,6,4] ; [4,8,2,6,9] ; [8,4,2,6,9] ; [8,6,2,4,9] ; [4,6,2,8,9] ; [6,4,2,8,9] ; [2,4,6,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 4, 0, 9 | [1,5,0,4,9] ; [0,1,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=0 | 5x-45=0 ; x+-9=0 ; x=0--9 ; x=9 |
list_summation | list_summation:right-to-left | 7, 6, 6, 0 | 6+0=6 ; 6+6=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=99 | 9x+63=99 ; 9x=36 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; R:(0,3) ; D:(1,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 9, 7, 2 | [5,8,7,9,2] ; [5,8,7,2,9] ; [5,7,8,2,9] ; [5,7,2,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
base_conversion | base_conversion:repeated-division | n=144,base=2 | DIV:144/2=72,r:0 ; DIV:72/2=36,r:0 ; DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010000 |
base_conversion | base_conversion:via-binary | n=151,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:7 ; OUT:97 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 5, 6, 0, 2 | 5+6=11 ; 0+2=2 ; 11+2=13 |
base_conversion | base_conversion:decomposition | n=50,base=16 | TERM:3*16^1=48 ; TERM:2*16^0=2 ; OUT:32 |
list_summation | list_summation:pairwise | 9, 5, 9, 6 | 9+5=14 ; 9+6=15 ; 14+15=29 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-24=-40 | 4x-24=-40 ; x=(-40--24)/4 ; x=-16/4 ; x=-4 |
base_conversion | base_conversion:decomposition | n=232,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11101000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-10 | 5x-30=-10 ; 5x=20 ; x=4 |
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) |
base_conversion | base_conversion:via-binary | n=190,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:6 ; OUT:276 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,5) | D:(1,1) ; 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:merge-sort | 9, 6, 0, 4, 3 | [6,9,0,4,3] ; [0,4,6,9,3] ; [0,3,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 8, 9, 0 | [0,6,8,9,5] ; [0,5,8,9,6] ; [0,5,6,9,8] ; [0,5,6,8,9] |
base_conversion | base_conversion:via-binary | n=6,base=16 | BINLEN:3 ; CHUNK:0:6 ; OUT:6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 949+790 | round:950+790=1740 ; adjust:1740-1=1739 ; sum=1739 |
list_summation | list_summation:right-to-left | 3, 9, 5, 1 | 5+1=6 ; 9+6=15 ; 3+15=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,1) | R:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 407+817 | round:410+817=1227 ; adjust:1227-3=1224 ; sum=1224 |
list_summation | list_summation:left-to-right | 2, 5, 6, 0 | 2+5=7 ; 7+6=13 ; 13+0=13 |
base_conversion | base_conversion:decomposition | n=138,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:2*8^0=2 ; OUT:212 |
base_conversion | base_conversion:repeated-division | n=10,base=4 | DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:22 |
base_conversion | base_conversion:repeated-division | n=174,base=4 | DIV:174/4=43,r:2 ; DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2232 |
multidigit_addition | multidigit_addition:right-to-left-carry | 861+934 | d2:1+4+0=5→w5,c0 ; d1:6+3+0=9→w9,c0 ; d0:8+9+0=17→w7,c1 ; sum=1795 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=12 | 4x+28=12 ; x=(12-28)/4 ; x=-16/4 ; x=-4 |
list_summation | list_summation:left-to-right | 1, 3, 0, 1 | 1+3=4 ; 4+0=4 ; 4+1=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 5, 0, 4 | [6,4,5,0,3] ; [3,4,5,0,6] ; [5,4,3,0,6] ; [0,4,3,5,6] ; [4,0,3,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
list_summation | list_summation:right-to-left | 7, 5, 9, 9 | 9+9=18 ; 5+18=23 ; 7+23=30 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-72 | 8x-48=-72 ; x=(-72--48)/8 ; x=-24/8 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
base_conversion | base_conversion:via-binary | n=196,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:4 ; OUT:304 |
multidigit_addition | multidigit_addition:rounding-decomposition | 511+518 | round:520+518=1038 ; adjust:1038-9=1029 ; sum=1029 |
base_conversion | base_conversion:repeated-division | n=135,base=2 | DIV:135/2=67,r:1 ; DIV:67/2=33,r:1 ; 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:10000111 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-16 | 4x+12=-16 ; x=(-16-12)/4 ; x=-28/4 ; x=-7 |
list_summation | list_summation:right-to-left | 9, 9, 3, 7 | 3+7=10 ; 9+10=19 ; 9+19=28 |
base_conversion | base_conversion:via-binary | n=162,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:2 ; OUT:A2 |
list_summation | list_summation:pairwise | 6, 9, 7, 6 | 6+9=15 ; 7+6=13 ; 15+13=28 |
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