task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 846+977 | d2:6+7+0=13→w3,c1 ; d1:4+7+1=12→w2,c1 ; d0:8+9+1=18→w8,c1 ; sum=1823 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 3, 5, 1 | [0,3,5,9,1] ; [0,1,3,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 2, 7, 8 | [5,8,2,7,0] ; [8,5,2,7,0] ; [8,7,2,5,0] ; [0,7,2,5,8] ; [7,0,2,5,8] ; [7,5,2,0,8] ; [0,5,2,7,8] ; [5,0,2,7,8] ; [2,0,5,7,8] ; [0,2,5,7,8] |
base_conversion | base_conversion:via-binary | n=166,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:246 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-8 | 2x-16=-8 ; 2x=8 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=72 | 8x+72=72 ; 8x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 0, 2, 3 | [0,5,8,2,3] ; [0,2,8,5,3] ; [0,2,3,5,8] ; [0,2,3,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+0=-32 | 8x+0=-32 ; 8x=-32 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 3, 0, 9 | [5,9,3,0,1] ; [9,5,3,0,1] ; [1,5,3,0,9] ; [5,1,3,0,9] ; [0,1,3,5,9] ; [3,1,0,5,9] ; [0,1,3,5,9] ; [1,0,3,5,9] ; [0,1,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=2 | 2x+18=2 ; x+9=1 ; x=1-9 ; x=-8 |
list_summation | list_summation:pairwise | 9, 9, 3, 5 | 9+9=18 ; 3+5=8 ; 18+8=26 |
base_conversion | base_conversion:via-binary | n=220,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 7, 6, 9 | [2,5,7,6,9] ; [2,5,7,6,9] ; [2,5,6,7,9] ; [2,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=244,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:4 ; OUT:F4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=8 | 2x+14=8 ; 2x=-6 ; x=-3 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 719+146 | p100:700+100=800 ; p10:10+40=50 ; p1:9+6=15 ; sum=800+50+15=865 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 5, 0, 9 | [4,7,0,5,9] ; [0,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=112,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1110000 |
base_conversion | base_conversion:via-binary | n=230,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3212 |
list_summation | list_summation:right-to-left | 0, 9, 0, 7 | 0+7=7 ; 9+7=16 ; 0+16=16 |
list_summation | list_summation:pairwise | 8, 8, 5, 0 | 8+8=16 ; 5+0=5 ; 16+5=21 |
base_conversion | base_conversion:via-binary | n=26,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32 |
multidigit_addition | multidigit_addition:right-to-left-carry | 663+187 | d2:3+7+0=10→w0,c1 ; d1:6+8+1=15→w5,c1 ; d0:6+1+1=8→w8,c0 ; sum=850 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 9, 5, 3 | [2,7,9,5,3] ; [2,7,9,5,3] ; [2,5,7,9,3] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 607+625 | p100:600+600=1200 ; p10:0+20=20 ; p1:7+5=12 ; sum=1200+20+12=1232 |
base_conversion | base_conversion:decomposition | n=246,base=16 | TERM:15*16^1=240 ; TERM:6*16^0=6 ; OUT:F6 |
base_conversion | base_conversion:decomposition | n=55,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:110111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,1) | D:(1,0) ; D:(2,0) ; R:(2,1) |
base_conversion | base_conversion:via-binary | n=108,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:4 ; OUT:154 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=14 | 7x-28=14 ; x+-4=2 ; x=2--4 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 595+641 | d2:5+1+0=6→w6,c0 ; d1:9+4+0=13→w3,c1 ; d0:5+6+1=12→w2,c1 ; sum=1236 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 2, 1, 4 | [1,8,2,5,4] ; [1,2,8,5,4] ; [1,2,4,5,8] ; [1,2,4,5,8] |
base_conversion | base_conversion:decomposition | n=241,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:1*2^0=1 ; OUT:11110001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 861+120 | d2:1+0+0=1→w1,c0 ; d1:6+2+0=8→w8,c0 ; d0:8+1+0=9→w9,c0 ; sum=981 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=131,base=8 | DIV:131/8=16,r:3 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:203 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 4, 8, 6 | [2,4,7,8,6] ; [2,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 160+391 | round:160+391=551 ; adjust:551-0=551 ; sum=551 |
list_summation | list_summation:right-to-left | 1, 4, 7, 0 | 7+0=7 ; 4+7=11 ; 1+11=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 364+237 | d2:4+7+0=11→w1,c1 ; d1:6+3+1=10→w0,c1 ; d0:3+2+1=6→w6,c0 ; sum=601 |
base_conversion | base_conversion:via-binary | n=249,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:9 ; OUT:F9 |
base_conversion | base_conversion:via-binary | n=135,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:7 ; OUT:87 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=32 | 4x+32=32 ; x+8=8 ; x=8-8 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 4, 6, 8 | [1,4,6,9,8] ; [1,4,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 7, 2, 0 | [1,5,7,2,0] ; [1,5,7,2,0] ; [1,2,5,7,0] ; [0,1,2,5,7] |
list_summation | list_summation:pairwise | 8, 8, 8, 3 | 8+8=16 ; 8+3=11 ; 16+11=27 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=55 | 5x+20=55 ; x=(55-20)/5 ; x=35/5 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=28 | 2x+16=28 ; 2x=12 ; x=6 |
list_summation | list_summation:pairwise | 3, 7, 6, 2 | 3+7=10 ; 6+2=8 ; 10+8=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 2, 9, 5 | [1,7,2,9,5] ; [1,2,7,9,5] ; [1,2,5,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-27 | 3x-24=-27 ; 3x=-3 ; x=-1 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 7, 0, 3 | [0,2,7,8,3] ; [0,2,7,8,3] ; [0,2,3,8,7] ; [0,2,3,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 563+119 | d2:3+9+0=12→w2,c1 ; d1:6+1+1=8→w8,c0 ; d0:5+1+0=6→w6,c0 ; sum=682 |
multidigit_addition | multidigit_addition:right-to-left-carry | 228+184 | d2:8+4+0=12→w2,c1 ; d1:2+8+1=11→w1,c1 ; d0:2+1+1=4→w4,c0 ; sum=412 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 7, 4, 5 | [2,5,7,4,3] ; [7,5,2,4,3] ; [3,5,2,4,7] ; [5,3,2,4,7] ; [5,4,2,3,7] ; [3,4,2,5,7] ; [4,3,2,5,7] ; [2,3,4,5,7] ; [3,2,4,5,7] ; [2,3,4,5,7] |
list_summation | list_summation:left-to-right | 5, 4, 9, 7 | 5+4=9 ; 9+9=18 ; 18+7=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 168+765 | p100:100+700=800 ; p10:60+60=120 ; p1:8+5=13 ; sum=800+120+13=933 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 8, 2, 6 | [1,5,8,2,6] ; [1,2,8,5,6] ; [1,2,5,8,6] ; [1,2,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 376+387 | d2:6+7+0=13→w3,c1 ; d1:7+8+1=16→w6,c1 ; d0:3+3+1=7→w7,c0 ; sum=763 |
multidigit_addition | multidigit_addition:right-to-left-carry | 760+577 | d2:0+7+0=7→w7,c0 ; d1:6+7+0=13→w3,c1 ; d0:7+5+1=13→w3,c1 ; sum=1337 |
base_conversion | base_conversion:decomposition | n=131,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:2003 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=6 | 3x-21=6 ; 3x=27 ; x=9 |
list_summation | list_summation:right-to-left | 6, 3, 7, 2 | 7+2=9 ; 3+9=12 ; 6+12=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=25 | 5x+5=25 ; 5x=20 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 3, 9, 8 | [0,1,3,9,8] ; [0,1,3,8,9] |
base_conversion | base_conversion:decomposition | n=18,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10010 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 2, 1, 7 | [0,4,2,1,7] ; [0,1,2,4,7] ; [0,1,2,4,7] ; [0,1,2,4,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 6, 0, 1, 7 | [0,6,8,1,7] ; [0,1,8,6,7] ; [0,1,6,8,7] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 8, 9, 3 | [6,9,8,7,3] ; [9,6,8,7,3] ; [9,7,8,6,3] ; [3,7,8,6,9] ; [8,7,3,6,9] ; [6,7,3,8,9] ; [7,6,3,8,9] ; [3,6,7,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
list_summation | list_summation:left-to-right | 9, 3, 5, 6 | 9+3=12 ; 12+5=17 ; 17+6=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 538+152 | p100:500+100=600 ; p10:30+50=80 ; p1:8+2=10 ; sum=600+80+10=690 |
list_summation | list_summation:left-to-right | 2, 8, 4, 1 | 2+8=10 ; 10+4=14 ; 14+1=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 5, 4, 1 | [7,9,5,4,1] ; [7,5,9,4,1] ; [7,5,4,9,1] ; [7,5,4,1,9] ; [5,7,4,1,9] ; [5,4,7,1,9] ; [5,4,1,7,9] ; [4,5,1,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 659+274 | round:660+274=934 ; adjust:934-1=933 ; sum=933 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=20 | 4x-16=20 ; 4x=36 ; x=9 |
base_conversion | base_conversion:decomposition | n=62,base=8 | TERM:7*8^1=56 ; TERM:6*8^0=6 ; OUT:76 |
multidigit_addition | multidigit_addition:left-to-right-partials | 170+142 | p100:100+100=200 ; p10:70+40=110 ; p1:0+2=2 ; sum=200+110+2=312 |
list_summation | list_summation:left-to-right | 0, 5, 9, 2 | 0+5=5 ; 5+9=14 ; 14+2=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 3, 6, 2 | [8,0,3,6,2] ; [8,6,3,0,2] ; [2,6,3,0,8] ; [6,2,3,0,8] ; [0,2,3,6,8] ; [3,2,0,6,8] ; [0,2,3,6,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 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] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=90,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011010 |
base_conversion | base_conversion:repeated-division | n=134,base=2 | DIV:134/2=67,r:0 ; 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:10000110 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 8, 7, 0 | [2,7,8,1,0] ; [8,7,2,1,0] ; [0,7,2,1,8] ; [7,0,2,1,8] ; [7,1,2,0,8] ; [0,1,2,7,8] ; [2,1,0,7,8] ; [0,1,2,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 9, 0, 4 | [5,7,0,9,4] ; [0,5,7,9,4] ; [0,4,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 595+583 | d2:5+3+0=8→w8,c0 ; d1:9+8+0=17→w7,c1 ; d0:5+5+1=11→w1,c1 ; sum=1178 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=253,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3331 |
multidigit_addition | multidigit_addition:rounding-decomposition | 114+980 | round:120+980=1100 ; adjust:1100-6=1094 ; sum=1094 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=35 | 5x+0=35 ; x=(35-0)/5 ; x=35/5 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 112+637 | d2:2+7+0=9→w9,c0 ; d1:1+3+0=4→w4,c0 ; d0:1+6+0=7→w7,c0 ; sum=749 |
multidigit_addition | multidigit_addition:rounding-decomposition | 342+387 | round:350+387=737 ; adjust:737-8=729 ; sum=729 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
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