task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 0, 8, 1 | [9,8,0,3,1] ; [1,8,0,3,9] ; [8,1,0,3,9] ; [8,3,0,1,9] ; [1,3,0,8,9] ; [3,1,0,8,9] ; [0,1,3,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 581+375 | p100:500+300=800 ; p10:80+70=150 ; p1:1+5=6 ; sum=800+150+6=956 |
base_conversion | base_conversion:via-binary | n=98,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:left-to-right | 9, 6, 0, 7 | 9+6=15 ; 15+0=15 ; 15+7=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=8 | 8x-64=8 ; 8x=72 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=0 | 2x+12=0 ; 2x=-12 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 381+645 | round:390+645=1035 ; adjust:1035-9=1026 ; sum=1026 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-36=-18 | 9x-36=-18 ; 9x=18 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 538+127 | d2:8+7+0=15→w5,c1 ; d1:3+2+1=6→w6,c0 ; d0:5+1+0=6→w6,c0 ; sum=665 |
list_summation | list_summation:pairwise | 3, 6, 7, 5 | 3+6=9 ; 7+5=12 ; 9+12=21 |
list_summation | list_summation:right-to-left | 3, 8, 9, 2 | 9+2=11 ; 8+11=19 ; 3+19=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 6, 4, 9, 0 | [0,6,4,9,1] ; [0,1,4,9,6] ; [0,1,4,9,6] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 504+443 | p100:500+400=900 ; p10:0+40=40 ; p1:4+3=7 ; sum=900+40+7=947 |
multidigit_addition | multidigit_addition:rounding-decomposition | 580+721 | round:580+721=1301 ; adjust:1301-0=1301 ; sum=1301 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 9, 7, 8 | [2,3,7,9,8] ; [2,3,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 0, 9, 8 | [1,6,0,9,8] ; [0,1,6,9,8] ; [0,1,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 656+955 | round:660+955=1615 ; adjust:1615-4=1611 ; sum=1611 |
multidigit_addition | multidigit_addition:left-to-right-partials | 323+447 | p100:300+400=700 ; p10:20+40=60 ; p1:3+7=10 ; sum=700+60+10=770 |
multidigit_addition | multidigit_addition:left-to-right-partials | 637+865 | p100:600+800=1400 ; p10:30+60=90 ; p1:7+5=12 ; sum=1400+90+12=1502 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=20 | 4x+0=20 ; 4x=20 ; x=5 |
base_conversion | base_conversion:via-binary | n=64,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:100 |
base_conversion | base_conversion:repeated-division | n=35,base=16 | DIV:35/16=2,r:3 ; DIV:2/16=0,r:2 ; OUT:23 |
list_summation | list_summation:pairwise | 2, 9, 0, 6 | 2+9=11 ; 0+6=6 ; 11+6=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 5, 7, 4 | [0,3,4,5,7] |
base_conversion | base_conversion:via-binary | n=165,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:5 ; OUT:245 |
base_conversion | base_conversion:repeated-division | n=84,base=8 | DIV:84/8=10,r:4 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:124 |
base_conversion | base_conversion:via-binary | n=120,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:1320 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 7, 2, 0 | [0,6,7,2,4] ; [0,2,7,6,4] ; [0,2,4,6,7] ; [0,2,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 916+634 | d2:6+4+0=10→w0,c1 ; d1:1+3+1=5→w5,c0 ; d0:9+6+0=15→w5,c1 ; sum=1550 |
base_conversion | base_conversion:via-binary | n=242,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:362 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 7, 4, 3 | [5,6,7,4,3] ; [5,6,7,4,3] ; [4,5,6,7,3] ; [3,4,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=15 | 3x+21=15 ; x+7=5 ; x=5-7 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 3, 2, 1 | [1,6,3,2,8] ; [6,1,3,2,8] ; [6,2,3,1,8] ; [1,2,3,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 811+287 | round:820+287=1107 ; adjust:1107-9=1098 ; sum=1098 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 7, 0, 1 | [4,9,7,0,1] ; [4,7,9,0,1] ; [0,4,7,9,1] ; [0,1,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=15 | 3x+6=15 ; 3x=9 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 0, 4, 5 | [0,9,3,4,5] ; [0,3,9,4,5] ; [0,3,4,9,5] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-75 | 5x-40=-75 ; x+-8=-15 ; x=-15--8 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 7, 3, 2 | [1,4,7,3,2] ; [1,2,7,3,4] ; [1,2,3,7,4] ; [1,2,3,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 3, 9, 0 | [6,9,3,7,0] ; [9,6,3,7,0] ; [9,7,3,6,0] ; [0,7,3,6,9] ; [7,0,3,6,9] ; [7,6,3,0,9] ; [0,6,3,7,9] ; [6,0,3,7,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
list_summation | list_summation:pairwise | 5, 2, 5, 7 | 5+2=7 ; 5+7=12 ; 7+12=19 |
base_conversion | base_conversion:decomposition | n=234,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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11101010 |
multidigit_addition | multidigit_addition:right-to-left-carry | 246+655 | d2:6+5+0=11→w1,c1 ; d1:4+5+1=10→w0,c1 ; d0:2+6+1=9→w9,c0 ; sum=901 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 6, 7, 0 | [0,2,6,7,1] ; [0,1,6,7,2] ; [0,1,2,7,6] ; [0,1,2,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 525+268 | round:530+268=798 ; adjust:798-5=793 ; sum=793 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-12 | 3x-15=-12 ; x+-5=-4 ; x=-4--5 ; x=1 |
base_conversion | base_conversion:via-binary | n=53,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:311 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=15 | 5x+40=15 ; x+8=3 ; x=3-8 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-63 | 9x+18=-63 ; x=(-63-18)/9 ; x=-81/9 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=18 | 2x+0=18 ; x=(18-0)/2 ; x=18/2 ; x=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 3, 9, 4 | [5,8,3,9,4] ; [5,3,8,9,4] ; [5,3,8,4,9] ; [3,5,8,4,9] ; [3,5,4,8,9] ; [3,4,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-9 | 9x+27=-9 ; x+3=-1 ; x=-1-3 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 770+317 | p100:700+300=1000 ; p10:70+10=80 ; p1:0+7=7 ; sum=1000+80+7=1087 |
multidigit_addition | multidigit_addition:rounding-decomposition | 941+396 | round:950+396=1346 ; adjust:1346-9=1337 ; sum=1337 |
list_summation | list_summation:pairwise | 9, 7, 1, 2 | 9+7=16 ; 1+2=3 ; 16+3=19 |
list_summation | list_summation:left-to-right | 1, 7, 6, 6 | 1+7=8 ; 8+6=14 ; 14+6=20 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 4, 1, 6 | [9,6,4,1,3] ; [3,6,4,1,9] ; [6,3,4,1,9] ; [1,3,4,6,9] ; [4,3,1,6,9] ; [1,3,4,6,9] ; [3,1,4,6,9] ; [1,3,4,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 222+641 | d2:2+1+0=3→w3,c0 ; d1:2+4+0=6→w6,c0 ; d0:2+6+0=8→w8,c0 ; sum=863 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=7 | 7x+0=7 ; x+0=1 ; x=1-0 ; x=1 |
base_conversion | base_conversion:via-binary | n=27,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:123 |
base_conversion | base_conversion:repeated-division | n=31,base=4 | DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:133 |
multidigit_addition | multidigit_addition:right-to-left-carry | 183+695 | d2:3+5+0=8→w8,c0 ; d1:8+9+0=17→w7,c1 ; d0:1+6+1=8→w8,c0 ; sum=878 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 2, 5, 0 | [3,9,2,5,0] ; [2,3,9,5,0] ; [2,3,5,9,0] ; [0,2,3,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 7, 1, 2 | [1,8,7,4,2] ; [1,2,7,4,8] ; [1,2,4,7,8] ; [1,2,4,7,8] |
base_conversion | base_conversion:via-binary | n=107,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1101011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=-80 | 8x-8=-80 ; x+-1=-10 ; x=-10--1 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=195,base=4 | DIV:195/4=48,r:3 ; DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3003 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+40=-16 | 8x+40=-16 ; x+5=-2 ; x=-2-5 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 658+176 | d2:8+6+0=14→w4,c1 ; d1:5+7+1=13→w3,c1 ; d0:6+1+1=8→w8,c0 ; sum=834 |
list_summation | list_summation:right-to-left | 7, 2, 7, 3 | 7+3=10 ; 2+10=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=0 | 2x+8=0 ; x+4=0 ; x=0-4 ; x=-4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 7, 1, 0 | [2,5,7,1,0] ; [2,5,1,7,0] ; [2,5,1,0,7] ; [2,1,5,0,7] ; [2,1,0,5,7] ; [1,2,0,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
base_conversion | base_conversion:decomposition | n=157,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:5*8^0=5 ; OUT:235 |
list_summation | list_summation:left-to-right | 6, 3, 7, 7 | 6+3=9 ; 9+7=16 ; 16+7=23 |
base_conversion | base_conversion:via-binary | n=58,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:2 ; OUT:72 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 0, 8, 9 | [3,5,0,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 0, 4, 6 | [0,7,9,4,6] ; [0,4,9,7,6] ; [0,4,6,7,9] ; [0,4,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 794+497 | p100:700+400=1100 ; p10:90+90=180 ; p1:4+7=11 ; sum=1100+180+11=1291 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+30=0 | 5x+30=0 ; x=(0-30)/5 ; x=-30/5 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 8, 6, 4, 6 | 8+6=14 ; 14+4=18 ; 18+6=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-25 | 5x+5=-25 ; x=(-25-5)/5 ; x=-30/5 ; x=-6 |
base_conversion | base_conversion:decomposition | n=116,base=16 | TERM:7*16^1=112 ; TERM:4*16^0=4 ; OUT:74 |
multidigit_addition | multidigit_addition:rounding-decomposition | 695+666 | round:700+666=1366 ; adjust:1366-5=1361 ; sum=1361 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 5, 6, 2 | [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=36 | 9x+0=36 ; x=(36-0)/9 ; x=36/9 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=5 | 5x+10=5 ; 5x=-5 ; x=-1 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 9, 8, 6 | [0,4,8,9,6] ; [0,4,6,8,9] |
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