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 | 362+665 | d2:2+5+0=7→w7,c0 ; d1:6+6+0=12→w2,c1 ; d0:3+6+1=10→w0,c1 ; sum=1027 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 5, 1, 3 | [1,9,5,2,3] ; [1,2,5,9,3] ; [1,2,3,9,5] ; [1,2,3,5,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-56 | 8x-56=-56 ; 8x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 7, 4, 5 | [9,5,7,4,3] ; [3,5,7,4,9] ; [7,5,3,4,9] ; [4,5,3,7,9] ; [5,4,3,7,9] ; [3,4,5,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-40 | 4x-16=-40 ; x=(-40--16)/4 ; x=-24/4 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-28 | 4x-36=-28 ; x=(-28--36)/4 ; x=8/4 ; x=2 |
base_conversion | base_conversion:decomposition | n=200,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3020 |
multidigit_addition | multidigit_addition:left-to-right-partials | 892+860 | p100:800+800=1600 ; p10:90+60=150 ; p1:2+0=2 ; sum=1600+150+2=1752 |
multidigit_addition | multidigit_addition:right-to-left-carry | 208+347 | d2:8+7+0=15→w5,c1 ; d1:0+4+1=5→w5,c0 ; d0:2+3+0=5→w5,c0 ; sum=555 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 6, 2, 8 | [0,3,2,6,8] ; [0,2,3,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 286+177 | d2:6+7+0=13→w3,c1 ; d1:8+7+1=16→w6,c1 ; d0:2+1+1=4→w4,c0 ; sum=463 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 4, 1, 3 | [3,6,4,1,8] ; [6,3,4,1,8] ; [1,3,4,6,8] ; [4,3,1,6,8] ; [1,3,4,6,8] ; [3,1,4,6,8] ; [1,3,4,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-22 | 2x-18=-22 ; 2x=-4 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 8, 3, 4 | [2,5,3,8,4] ; [2,5,3,4,8] ; [2,3,5,4,8] ; [2,3,4,5,8] |
list_summation | list_summation:right-to-left | 5, 1, 8, 6 | 8+6=14 ; 1+14=15 ; 5+15=20 |
list_summation | list_summation:pairwise | 5, 4, 2, 7 | 5+4=9 ; 2+7=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 181+553 | d2:1+3+0=4→w4,c0 ; d1:8+5+0=13→w3,c1 ; d0:1+5+1=7→w7,c0 ; sum=734 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 8, 3, 0, 9 | [7,8,0,3,9] ; [0,3,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 145+908 | p100:100+900=1000 ; p10:40+0=40 ; p1:5+8=13 ; sum=1000+40+13=1053 |
list_summation | list_summation:right-to-left | 7, 9, 2, 0 | 2+0=2 ; 9+2=11 ; 7+11=18 |
list_summation | list_summation:left-to-right | 5, 7, 4, 2 | 5+7=12 ; 12+4=16 ; 16+2=18 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 9, 3, 4 | [7,4,9,3,0] ; [9,4,7,3,0] ; [0,4,7,3,9] ; [7,4,0,3,9] ; [3,4,0,7,9] ; [4,3,0,7,9] ; [0,3,4,7,9] ; [3,0,4,7,9] ; [0,3,4,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 1, 4, 6 | [1,9,2,4,6] ; [1,2,9,4,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
base_conversion | base_conversion:via-binary | n=194,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11000010 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-4 | 2x-16=-4 ; x+-8=-2 ; x=-2--8 ; x=6 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 6, 5, 9 | [8,9,6,5,3] ; [9,8,6,5,3] ; [3,8,6,5,9] ; [8,3,6,5,9] ; [8,5,6,3,9] ; [3,5,6,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
base_conversion | base_conversion:decomposition | n=117,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 7, 9, 6, 2 | 7+9=16 ; 16+6=22 ; 22+2=24 |
base_conversion | base_conversion:via-binary | n=164,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2210 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:right-to-left | 0, 2, 8, 5 | 8+5=13 ; 2+13=15 ; 0+15=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 2, 1, 3 | [4,2,7,1,3] ; [4,2,1,7,3] ; [4,2,1,3,7] ; [2,4,1,3,7] ; [2,1,4,3,7] ; [2,1,3,4,7] ; [1,2,3,4,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 5, 0 | [6,9,4,5,0] ; [4,6,9,5,0] ; [4,5,6,9,0] ; [0,4,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=33 | 3x+12=33 ; x=(33-12)/3 ; x=21/3 ; x=7 |
list_summation | list_summation:pairwise | 0, 8, 8, 0 | 0+8=8 ; 8+0=8 ; 8+8=16 |
base_conversion | base_conversion:via-binary | n=76,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1030 |
list_summation | list_summation:left-to-right | 8, 9, 4, 2 | 8+9=17 ; 17+4=21 ; 21+2=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=49 | 7x+28=49 ; 7x=21 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 1, 0, 6 | [5,1,9,0,6] ; [5,1,0,9,6] ; [5,1,0,6,9] ; [1,5,0,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9] |
list_summation | list_summation:left-to-right | 1, 6, 6, 8 | 1+6=7 ; 7+6=13 ; 13+8=21 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 7, 3, 1 | [1,5,7,3,8] ; [1,3,7,5,8] ; [1,3,5,7,8] ; [1,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=30,base=8 | DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:36 |
list_summation | list_summation:right-to-left | 7, 7, 4, 2 | 4+2=6 ; 7+6=13 ; 7+13=20 |
list_summation | list_summation:left-to-right | 8, 5, 0, 8 | 8+5=13 ; 13+0=13 ; 13+8=21 |
base_conversion | base_conversion:decomposition | n=134,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:6*8^0=6 ; OUT:206 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=-8 | 8x+24=-8 ; x=(-8-24)/8 ; x=-32/8 ; x=-4 |
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:rounding-decomposition | 671+963 | round:680+963=1643 ; adjust:1643-9=1634 ; sum=1634 |
multidigit_addition | multidigit_addition:left-to-right-partials | 533+143 | p100:500+100=600 ; p10:30+40=70 ; p1:3+3=6 ; sum=600+70+6=676 |
list_summation | list_summation:left-to-right | 0, 4, 0, 0 | 0+4=4 ; 4+0=4 ; 4+0=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 226+470 | p100:200+400=600 ; p10:20+70=90 ; p1:6+0=6 ; sum=600+90+6=696 |
list_summation | list_summation:pairwise | 9, 3, 4, 6 | 9+3=12 ; 4+6=10 ; 12+10=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 664+662 | round:670+662=1332 ; adjust:1332-6=1326 ; sum=1326 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 6, 9, 1 | [2,6,7,9,1] ; [2,6,7,1,9] ; [2,6,1,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-99 | 9x-18=-99 ; 9x=-81 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 165+299 | d2:5+9+0=14→w4,c1 ; d1:6+9+1=16→w6,c1 ; d0:1+2+1=4→w4,c0 ; sum=464 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 7, 0, 1 | [3,7,9,0,1] ; [3,7,0,9,1] ; [3,7,0,1,9] ; [3,0,7,1,9] ; [3,0,1,7,9] ; [0,3,1,7,9] ; [0,1,3,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 1, 0, 6 | [3,5,1,0,6] ; [3,1,5,0,6] ; [3,1,0,5,6] ; [1,3,0,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=-8 | 4x+20=-8 ; x+5=-2 ; x=-2-5 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=2 | 2x-12=2 ; 2x=14 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 1, 3, 6 | [4,8,1,3,6] ; [1,4,8,3,6] ; [1,3,4,8,6] ; [1,3,4,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 1, 0, 4 | [0,8,1,3,4] ; [0,1,8,3,4] ; [0,1,3,8,4] ; [0,1,3,4,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=48 | 8x-16=48 ; x=(48--16)/8 ; x=64/8 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 270+198 | p100:200+100=300 ; p10:70+90=160 ; p1:0+8=8 ; sum=300+160+8=468 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 2, 9, 6 | [0,4,2,9,6] ; [0,2,4,9,6] ; [0,2,4,9,6] ; [0,2,4,6,9] |
list_summation | list_summation:right-to-left | 4, 7, 2, 7 | 2+7=9 ; 7+9=16 ; 4+16=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 767+320 | p100:700+300=1000 ; p10:60+20=80 ; p1:7+0=7 ; sum=1000+80+7=1087 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 9, 3, 1 | [2,5,9,3,1] ; [2,5,9,3,1] ; [2,3,5,9,1] ; [1,2,3,5,9] |
list_summation | list_summation:pairwise | 9, 6, 7, 5 | 9+6=15 ; 7+5=12 ; 15+12=27 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 8, 2, 9 | [3,7,8,2,9] ; [3,7,2,8,9] ; [2,3,7,8,9] |
list_summation | list_summation:pairwise | 5, 2, 0, 8 | 5+2=7 ; 0+8=8 ; 7+8=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 1, 0, 4 | [3,6,1,0,4] ; [3,6,0,1,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 446+696 | p100:400+600=1000 ; p10:40+90=130 ; p1:6+6=12 ; sum=1000+130+12=1142 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 8, 5, 4 | [3,7,8,5,4] ; [3,7,8,5,4] ; [3,5,7,8,4] ; [3,4,5,7,8] |
list_summation | list_summation:left-to-right | 6, 4, 6, 4 | 6+4=10 ; 10+6=16 ; 16+4=20 |
list_summation | list_summation:pairwise | 7, 0, 8, 5 | 7+0=7 ; 8+5=13 ; 7+13=20 |
list_summation | list_summation:left-to-right | 4, 3, 1, 7 | 4+3=7 ; 7+1=8 ; 8+7=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 9, 2, 7 | [4,6,2,9,7] ; [2,4,6,9,7] ; [2,4,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-78 | 6x-30=-78 ; x+-5=-13 ; x=-13--5 ; x=-8 |
base_conversion | base_conversion:via-binary | n=125,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1331 |
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:alternating | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 6, 9, 3 | [0,7,6,9,3] ; [0,6,7,9,3] ; [0,3,6,7,9] |
list_summation | list_summation:left-to-right | 9, 0, 2, 9 | 9+0=9 ; 9+2=11 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 5, 7, 1 | [0,5,7,8,1] ; [0,1,5,7,8] |
list_summation | list_summation:left-to-right | 1, 0, 1, 5 | 1+0=1 ; 1+1=2 ; 2+5=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=60 | 5x+30=60 ; 5x=30 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 626+365 | p100:600+300=900 ; p10:20+60=80 ; p1:6+5=11 ; sum=900+80+11=991 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 1, 5, 3 | [2,8,1,5,3] ; [1,2,5,8,3] ; [1,2,3,5,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 1, 8, 6 | [2,4,1,8,6] ; [1,2,4,8,6] ; [1,2,4,8,6] ; [1,2,4,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 8, 0, 7 | [2,3,8,0,7] ; [2,3,0,8,7] ; [2,3,0,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 6, 3, 7 | [1,5,6,3,7] ; [1,3,6,5,7] ; [1,3,5,6,7] ; [1,3,5,6,7] |
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