task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 2, 7, 9, 3 | 9+3=12 ; 7+12=19 ; 2+19=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 7, 6, 7, 7 | 7+7=14 ; 6+14=20 ; 7+20=27 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 6, 8, 1 | [2,6,7,8,1] ; [1,2,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 734+766 | d2:4+6+0=10→w0,c1 ; d1:3+6+1=10→w0,c1 ; d0:7+7+1=15→w5,c1 ; sum=1500 |
base_conversion | base_conversion:via-binary | n=38,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:6 ; OUT:46 |
base_conversion | base_conversion:repeated-division | n=166,base=8 | DIV:166/8=20,r:6 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:246 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 1, 6, 5 | [8,6,1,4,5] ; [5,6,1,4,8] ; [6,5,1,4,8] ; [4,5,1,6,8] ; [5,4,1,6,8] ; [1,4,5,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=-20 | 4x+16=-20 ; x+4=-5 ; x=-5-4 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 346+959 | d2:6+9+0=15→w5,c1 ; d1:4+5+1=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1305 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 7, 1, 8 | [0,6,7,1,8] ; [0,6,7,1,8] ; [0,1,6,7,8] ; [0,1,6,7,8] |
base_conversion | base_conversion:repeated-division | n=214,base=4 | DIV:214/4=53,r:2 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3112 |
base_conversion | base_conversion:decomposition | n=196,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3010 |
multidigit_addition | multidigit_addition:right-to-left-carry | 706+737 | d2:6+7+0=13→w3,c1 ; d1:0+3+1=4→w4,c0 ; d0:7+7+0=14→w4,c1 ; sum=1443 |
multidigit_addition | multidigit_addition:rounding-decomposition | 975+551 | round:980+551=1531 ; adjust:1531-5=1526 ; sum=1526 |
multidigit_addition | multidigit_addition:right-to-left-carry | 870+871 | d2:0+1+0=1→w1,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+8+1=17→w7,c1 ; sum=1741 |
base_conversion | base_conversion:repeated-division | n=146,base=2 | DIV:146/2=73,r:0 ; DIV:73/2=36,r:1 ; 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:10010010 |
list_summation | list_summation:pairwise | 9, 0, 8, 3 | 9+0=9 ; 8+3=11 ; 9+11=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 989+925 | d2:9+5+0=14→w4,c1 ; d1:8+2+1=11→w1,c1 ; d0:9+9+1=19→w9,c1 ; sum=1914 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 3, 4, 5 | [9,5,3,4,1] ; [1,5,3,4,9] ; [5,1,3,4,9] ; [5,4,3,1,9] ; [1,4,3,5,9] ; [4,1,3,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 8, 6, 9 | [2,9,8,6,5] ; [9,2,8,6,5] ; [9,6,8,2,5] ; [5,6,8,2,9] ; [8,6,5,2,9] ; [2,6,5,8,9] ; [6,2,5,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=16 | 4x-12=16 ; 4x=28 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 5, 4, 6 | [1,8,5,4,6] ; [1,5,8,4,6] ; [1,5,4,8,6] ; [1,5,4,6,8] ; [1,4,5,6,8] |
list_summation | list_summation:pairwise | 7, 7, 3, 2 | 7+7=14 ; 3+2=5 ; 14+5=19 |
base_conversion | base_conversion:decomposition | n=191,base=16 | TERM:11*16^1=176 ; TERM:15*16^0=15 ; OUT:BF |
multidigit_addition | multidigit_addition:rounding-decomposition | 589+422 | round:590+422=1012 ; adjust:1012-1=1011 ; sum=1011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 494+201 | d2:4+1+0=5→w5,c0 ; d1:9+0+0=9→w9,c0 ; d0:4+2+0=6→w6,c0 ; sum=695 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=-21 | 7x-28=-21 ; 7x=7 ; x=1 |
base_conversion | base_conversion:decomposition | n=5,base=4 | TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 839+116 | round:840+116=956 ; adjust:956-1=955 ; sum=955 |
multidigit_addition | multidigit_addition:right-to-left-carry | 221+583 | d2:1+3+0=4→w4,c0 ; d1:2+8+0=10→w0,c1 ; d0:2+5+1=8→w8,c0 ; sum=804 |
multidigit_addition | multidigit_addition:left-to-right-partials | 818+977 | p100:800+900=1700 ; p10:10+70=80 ; p1:8+7=15 ; sum=1700+80+15=1795 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=-14 | 7x+7=-14 ; 7x=-21 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 3, 4, 7, 0 | 7+0=7 ; 4+7=11 ; 3+11=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=165,base=16 | TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-8 | 4x-20=-8 ; x+-5=-2 ; x=-2--5 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 347+710 | round:350+710=1060 ; adjust:1060-3=1057 ; sum=1057 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=18 | 9x+63=18 ; 9x=-45 ; x=-5 |
base_conversion | base_conversion:decomposition | n=81,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:1101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 853+395 | d2:3+5+0=8→w8,c0 ; d1:5+9+0=14→w4,c1 ; d0:8+3+1=12→w2,c1 ; sum=1248 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 7, 0, 4 | [6,8,7,0,4] ; [6,7,8,0,4] ; [0,6,7,8,4] ; [0,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=38,base=8 | DIV:38/8=4,r:6 ; DIV:4/8=0,r:4 ; OUT:46 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=0 | 9x-45=0 ; x+-5=0 ; x=0--5 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 6, 5, 8 | [4,9,6,5,8] ; [4,5,6,9,8] ; [4,5,6,9,8] ; [4,5,6,8,9] |
list_summation | list_summation:pairwise | 0, 5, 2, 1 | 0+5=5 ; 2+1=3 ; 5+3=8 |
base_conversion | base_conversion:decomposition | n=103,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1100111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 228+563 | d2:8+3+0=11→w1,c1 ; d1:2+6+1=9→w9,c0 ; d0:2+5+0=7→w7,c0 ; sum=791 |
base_conversion | base_conversion:repeated-division | n=130,base=16 | DIV:130/16=8,r:2 ; DIV:8/16=0,r:8 ; OUT:82 |
multidigit_addition | multidigit_addition:rounding-decomposition | 649+423 | round:650+423=1073 ; adjust:1073-1=1072 ; sum=1072 |
list_summation | list_summation:left-to-right | 1, 4, 1, 5 | 1+4=5 ; 5+1=6 ; 6+5=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=109,base=4 | DIV:109/4=27,r:1 ; DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1231 |
multidigit_addition | multidigit_addition:rounding-decomposition | 601+599 | round:610+599=1209 ; adjust:1209-9=1200 ; sum=1200 |
base_conversion | base_conversion:decomposition | n=90,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1122 |
list_summation | list_summation:left-to-right | 9, 8, 6, 1 | 9+8=17 ; 17+6=23 ; 23+1=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=4 | 2x+2=4 ; x+1=2 ; x=2-1 ; x=1 |
list_summation | list_summation:pairwise | 4, 9, 3, 4 | 4+9=13 ; 3+4=7 ; 13+7=20 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 2, 1, 7 | [8,3,2,1,7] ; [8,7,2,1,3] ; [3,7,2,1,8] ; [7,3,2,1,8] ; [1,3,2,7,8] ; [3,1,2,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=6 | 6x-36=6 ; x=(6--36)/6 ; x=42/6 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 9, 0, 3 | [9,5,7,0,3] ; [3,5,7,0,9] ; [7,5,3,0,9] ; [0,5,3,7,9] ; [5,0,3,7,9] ; [3,0,5,7,9] ; [0,3,5,7,9] |
base_conversion | base_conversion:repeated-division | n=101,base=16 | DIV:101/16=6,r:5 ; DIV:6/16=0,r:6 ; OUT:65 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-48 | 3x-21=-48 ; x=(-48--21)/3 ; x=-27/3 ; x=-9 |
list_summation | list_summation:left-to-right | 2, 3, 5, 1 | 2+3=5 ; 5+5=10 ; 10+1=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
list_summation | list_summation:left-to-right | 4, 0, 8, 2 | 4+0=4 ; 4+8=12 ; 12+2=14 |
list_summation | list_summation:pairwise | 1, 0, 4, 8 | 1+0=1 ; 4+8=12 ; 1+12=13 |
list_summation | list_summation:left-to-right | 9, 0, 3, 0 | 9+0=9 ; 9+3=12 ; 12+0=12 |
base_conversion | base_conversion:repeated-division | n=22,base=16 | DIV:22/16=1,r:6 ; DIV:1/16=0,r:1 ; OUT:16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 3, 8, 4 | [1,6,3,8,4] ; [1,3,6,8,4] ; [1,3,6,8,4] ; [1,3,4,6,8] |
base_conversion | base_conversion:decomposition | n=65,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1000001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 8, 7, 9 | [4,6,8,7,9] ; [4,6,8,7,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
list_summation | list_summation:left-to-right | 2, 3, 6, 5 | 2+3=5 ; 5+6=11 ; 11+5=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=0 | 3x+24=0 ; 3x=-24 ; x=-8 |
base_conversion | base_conversion:decomposition | n=14,base=16 | TERM:14*16^0=14 ; OUT:E |
multidigit_addition | multidigit_addition:rounding-decomposition | 482+737 | round:490+737=1227 ; adjust:1227-8=1219 ; sum=1219 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 5, 1, 6, 9 | 6+9=15 ; 1+15=16 ; 5+16=21 |
list_summation | list_summation:left-to-right | 0, 5, 0, 9 | 0+5=5 ; 5+0=5 ; 5+9=14 |
list_summation | list_summation:right-to-left | 2, 3, 5, 5 | 5+5=10 ; 3+10=13 ; 2+13=15 |
list_summation | list_summation:left-to-right | 6, 7, 0, 8 | 6+7=13 ; 13+0=13 ; 13+8=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,4) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 974+467 | p100:900+400=1300 ; p10:70+60=130 ; p1:4+7=11 ; sum=1300+130+11=1441 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 101+470 | p100:100+400=500 ; p10:0+70=70 ; p1:1+0=1 ; sum=500+70+1=571 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-21 | 3x-21=-21 ; 3x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=18 | 2x+2=18 ; x+1=9 ; x=9-1 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 350+656 | d2:0+6+0=6→w6,c0 ; d1:5+5+0=10→w0,c1 ; d0:3+6+1=10→w0,c1 ; sum=1006 |
list_summation | list_summation:left-to-right | 9, 7, 7, 1 | 9+7=16 ; 16+7=23 ; 23+1=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-12 | 6x+6=-12 ; x+1=-2 ; x=-2-1 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 4, 9, 3 | [5,8,4,9,3] ; [4,5,8,9,3] ; [4,5,8,9,3] ; [3,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) |
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