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 | 2, 3, 8, 4, 6 | [2,6,8,4,3] ; [8,6,2,4,3] ; [3,6,2,4,8] ; [6,3,2,4,8] ; [6,4,2,3,8] ; [3,4,2,6,8] ; [4,3,2,6,8] ; [2,3,4,6,8] ; [3,2,4,6,8] ; [2,3,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 798+371 | d2:8+1+0=9→w9,c0 ; d1:9+7+0=16→w6,c1 ; d0:7+3+1=11→w1,c1 ; sum=1169 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 3, 6, 9 | [1,4,3,6,9] ; [1,3,4,6,9] ; [1,3,4,6,9] ; [1,3,4,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=18 | 9x+27=18 ; x+3=2 ; x=2-3 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=5 | 5x-10=5 ; 5x=15 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 2, 3, 8 | [0,2,3,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 1, 3, 2 | [0,8,1,3,2] ; [0,1,3,8,2] ; [0,1,2,3,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 4, 6, 0 | [4,6,8,9,0] ; [0,4,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-153 | 9x-81=-153 ; x=(-153--81)/9 ; x=-72/9 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 5, 2, 0 | [5,4,3,2,0] ; [0,4,3,2,5] ; [4,0,3,2,5] ; [4,2,3,0,5] ; [0,2,3,4,5] ; [3,2,0,4,5] ; [0,2,3,4,5] ; [2,0,3,4,5] ; [0,2,3,4,5] |
list_summation | list_summation:pairwise | 5, 7, 6, 5 | 5+7=12 ; 6+5=11 ; 12+11=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 0, 7, 9 | [4,6,0,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] |
base_conversion | base_conversion:repeated-division | n=24,base=8 | DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:30 |
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) |
base_conversion | base_conversion:via-binary | n=190,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:2332 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+48=24 | 6x+48=24 ; 6x=-24 ; x=-4 |
list_summation | list_summation:left-to-right | 7, 4, 7, 9 | 7+4=11 ; 11+7=18 ; 18+9=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,3) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) |
list_summation | list_summation:pairwise | 2, 1, 0, 4 | 2+1=3 ; 0+4=4 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 5, 7, 3 | [1,7,5,4,3] ; [7,1,5,4,3] ; [7,4,5,1,3] ; [3,4,5,1,7] ; [5,4,3,1,7] ; [1,4,3,5,7] ; [4,1,3,5,7] ; [3,1,4,5,7] ; [1,3,4,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 845+967 | p100:800+900=1700 ; p10:40+60=100 ; p1:5+7=12 ; sum=1700+100+12=1812 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,5) | D:(1,3) ; R:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 497+105 | p100:400+100=500 ; p10:90+0=90 ; p1:7+5=12 ; sum=500+90+12=602 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 9, 0, 6 | [0,5,9,2,6] ; [0,2,9,5,6] ; [0,2,5,9,6] ; [0,2,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 1, 0, 4 | [6,4,1,0,2] ; [2,4,1,0,6] ; [4,2,1,0,6] ; [0,2,1,4,6] ; [2,0,1,4,6] ; [1,0,2,4,6] ; [0,1,2,4,6] |
list_summation | list_summation:pairwise | 8, 6, 4, 4 | 8+6=14 ; 4+4=8 ; 14+8=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 383+238 | round:390+238=628 ; adjust:628-7=621 ; sum=621 |
list_summation | list_summation:left-to-right | 4, 1, 8, 7 | 4+1=5 ; 5+8=13 ; 13+7=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 5, 0, 1 | [4,5,8,0,1] ; [4,5,0,8,1] ; [4,5,0,1,8] ; [4,0,5,1,8] ; [4,0,1,5,8] ; [0,4,1,5,8] ; [0,1,4,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=-6 | 2x+10=-6 ; 2x=-16 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+4=-20 | 4x+4=-20 ; x=(-20-4)/4 ; x=-24/4 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 3, 9, 4, 5 | 4+5=9 ; 9+9=18 ; 3+18=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 9, 0, 3 | [1,7,9,0,3] ; [1,7,0,9,3] ; [1,7,0,3,9] ; [1,0,7,3,9] ; [1,0,3,7,9] ; [0,1,3,7,9] |
base_conversion | base_conversion:via-binary | n=142,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:14 ; OUT:8E |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=40 | 8x+8=40 ; x=(40-8)/8 ; x=32/8 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=-6 | 2x+2=-6 ; x+1=-3 ; x=-3-1 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 655+679 | p100:600+600=1200 ; p10:50+70=120 ; p1:5+9=14 ; sum=1200+120+14=1334 |
list_summation | list_summation:left-to-right | 7, 6, 0, 1 | 7+6=13 ; 13+0=13 ; 13+1=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 6, 7, 4, 6 | 4+6=10 ; 7+10=17 ; 6+17=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=12 | 3x+0=12 ; x+0=4 ; x=4-0 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 874+243 | d2:4+3+0=7→w7,c0 ; d1:7+4+0=11→w1,c1 ; d0:8+2+1=11→w1,c1 ; sum=1117 |
multidigit_addition | multidigit_addition:right-to-left-carry | 162+921 | d2:2+1+0=3→w3,c0 ; d1:6+2+0=8→w8,c0 ; d0:1+9+0=10→w0,c1 ; sum=1083 |
base_conversion | base_conversion:repeated-division | n=246,base=16 | DIV:246/16=15,r:6 ; DIV:15/16=0,r:15 ; OUT:F6 |
base_conversion | base_conversion:decomposition | n=138,base=16 | TERM:8*16^1=128 ; TERM:10*16^0=10 ; OUT:8A |
multidigit_addition | multidigit_addition:rounding-decomposition | 494+730 | round:500+730=1230 ; adjust:1230-6=1224 ; sum=1224 |
base_conversion | base_conversion:via-binary | n=153,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:231 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=20 | 5x-20=20 ; x+-4=4 ; x=4--4 ; x=8 |
list_summation | list_summation:right-to-left | 7, 7, 2, 6 | 2+6=8 ; 7+8=15 ; 7+15=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 1, 2, 6 | [7,8,1,2,6] ; [1,2,7,8,6] ; [1,2,6,7,8] |
list_summation | list_summation:right-to-left | 3, 4, 0, 4 | 0+4=4 ; 4+4=8 ; 3+8=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-108 | 9x-81=-108 ; 9x=-27 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-6 | 6x-54=-6 ; x=(-6--54)/6 ; x=48/6 ; x=8 |
base_conversion | base_conversion:decomposition | n=191,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111111 |
base_conversion | base_conversion:repeated-division | n=235,base=4 | DIV:235/4=58,r:3 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3223 |
multidigit_addition | multidigit_addition:right-to-left-carry | 595+790 | d2:5+0+0=5→w5,c0 ; d1:9+9+0=18→w8,c1 ; d0:5+7+1=13→w3,c1 ; sum=1385 |
base_conversion | base_conversion:decomposition | n=69,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:5*8^0=5 ; OUT:105 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=-81 | 9x-36=-81 ; x+-4=-9 ; x=-9--4 ; x=-5 |
list_summation | list_summation:left-to-right | 8, 8, 6, 7 | 8+8=16 ; 16+6=22 ; 22+7=29 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=66 | 6x+48=66 ; x+8=11 ; x=11-8 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 8, 1, 6 | [2,5,1,8,6] ; [2,5,1,6,8] ; [2,1,5,6,8] ; [1,2,5,6,8] |
list_summation | list_summation:left-to-right | 1, 2, 0, 0 | 1+2=3 ; 3+0=3 ; 3+0=3 |
list_summation | list_summation:right-to-left | 3, 7, 5, 4 | 5+4=9 ; 7+9=16 ; 3+16=19 |
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) |
list_summation | list_summation:pairwise | 3, 8, 6, 8 | 3+8=11 ; 6+8=14 ; 11+14=25 |
base_conversion | base_conversion:repeated-division | n=142,base=16 | DIV:142/16=8,r:14 ; DIV:8/16=0,r:8 ; OUT:8E |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-40 | 4x-36=-40 ; x=(-40--36)/4 ; x=-4/4 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=28 | 7x-7=28 ; x+-1=4 ; x=4--1 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=156,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:234 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-28 | 7x-56=-28 ; x+-8=-4 ; x=-4--8 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 869+268 | p100:800+200=1000 ; p10:60+60=120 ; p1:9+8=17 ; sum=1000+120+17=1137 |
list_summation | list_summation:right-to-left | 5, 0, 0, 5 | 0+5=5 ; 0+5=5 ; 5+5=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=9 | 3x+0=9 ; x=(9-0)/3 ; x=9/3 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 432+955 | round:440+955=1395 ; adjust:1395-8=1387 ; sum=1387 |
base_conversion | base_conversion:repeated-division | n=140,base=4 | DIV:140/4=35,r:0 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2030 |
base_conversion | base_conversion:decomposition | n=17,base=16 | TERM:1*16^1=16 ; TERM:1*16^0=1 ; OUT:11 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 5, 1, 3 | [0,7,1,5,3] ; [0,1,5,7,3] ; [0,1,3,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=24 | 2x+10=24 ; x=(24-10)/2 ; x=14/2 ; x=7 |
list_summation | list_summation:left-to-right | 7, 1, 4, 2 | 7+1=8 ; 8+4=12 ; 12+2=14 |
multidigit_addition | multidigit_addition:left-to-right-partials | 498+440 | p100:400+400=800 ; p10:90+40=130 ; p1:8+0=8 ; sum=800+130+8=938 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 172+711 | d2:2+1+0=3→w3,c0 ; d1:7+1+0=8→w8,c0 ; d0:1+7+0=8→w8,c0 ; sum=883 |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+163 | p100:700+100=800 ; p10:30+60=90 ; p1:0+3=3 ; sum=800+90+3=893 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=234,base=4 | DIV:234/4=58,r:2 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3222 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
list_summation | list_summation:pairwise | 7, 8, 3, 5 | 7+8=15 ; 3+5=8 ; 15+8=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 2, 8, 0 | [4,8,2,5,0] ; [8,4,2,5,0] ; [8,5,2,4,0] ; [0,5,2,4,8] ; [5,0,2,4,8] ; [5,4,2,0,8] ; [0,4,2,5,8] ; [4,0,2,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
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