task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 9, 0, 5, 9 | 9+0=9 ; 9+5=14 ; 14+9=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 952+598 | d2:2+8+0=10→w0,c1 ; d1:5+9+1=15→w5,c1 ; d0:9+5+1=15→w5,c1 ; sum=1550 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 1, 8, 6 | [5,7,1,8,6] ; [5,1,7,8,6] ; [5,1,7,6,8] ; [1,5,7,6,8] ; [1,5,6,7,8] |
list_summation | list_summation:left-to-right | 0, 7, 1, 2 | 0+7=7 ; 7+1=8 ; 8+2=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 612+741 | p100:600+700=1300 ; p10:10+40=50 ; p1:2+1=3 ; sum=1300+50+3=1353 |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=216,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:8 ; OUT:D8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 382+843 | d2:2+3+0=5→w5,c0 ; d1:8+4+0=12→w2,c1 ; d0:3+8+1=12→w2,c1 ; sum=1225 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=-14 | 7x+35=-14 ; 7x=-49 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=181,base=8 | DIV:181/8=22,r:5 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:265 |
base_conversion | base_conversion:decomposition | n=100,base=16 | TERM:6*16^1=96 ; TERM:4*16^0=4 ; OUT:64 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=-18 | 6x-36=-18 ; x=(-18--36)/6 ; x=18/6 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=30 | 6x-6=30 ; x+-1=5 ; x=5--1 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=18 | 2x+10=18 ; x=(18-10)/2 ; x=8/2 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 956+109 | round:960+109=1069 ; adjust:1069-4=1065 ; sum=1065 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 7, 6, 5, 2 | 5+2=7 ; 6+7=13 ; 7+13=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 7, 8, 1 | [1,2,7,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] |
base_conversion | base_conversion:via-binary | n=93,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1131 |
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:subtract-then-divide | 3x+27=42 | 3x+27=42 ; 3x=15 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 7, 2, 4 | [1,5,7,2,4] ; [1,5,7,2,4] ; [1,2,5,7,4] ; [1,2,4,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 951+490 | d2:1+0+0=1→w1,c0 ; d1:5+9+0=14→w4,c1 ; d0:9+4+1=14→w4,c1 ; sum=1441 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=18 | 6x+30=18 ; x=(18-30)/6 ; x=-12/6 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=53,base=8 | TERM:6*8^1=48 ; TERM:5*8^0=5 ; OUT:65 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:right-to-left | 4, 4, 3, 6 | 3+6=9 ; 4+9=13 ; 4+13=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 250+633 | d2:0+3+0=3→w3,c0 ; d1:5+3+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=883 |
base_conversion | base_conversion:via-binary | n=59,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:111011 |
list_summation | list_summation:right-to-left | 5, 6, 7, 2 | 7+2=9 ; 6+9=15 ; 5+15=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=36 | 4x+16=36 ; 4x=20 ; x=5 |
list_summation | list_summation:right-to-left | 7, 5, 4, 0 | 4+0=4 ; 5+4=9 ; 7+9=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=54 | 6x+6=54 ; x=(54-6)/6 ; x=48/6 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=14 | 7x+0=14 ; 7x=14 ; x=2 |
base_conversion | base_conversion:decomposition | n=210,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:3102 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=24 | 2x+10=24 ; 2x=14 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 4, 1, 8 | [5,8,4,1,6] ; [8,5,4,1,6] ; [8,6,4,1,5] ; [5,6,4,1,8] ; [6,5,4,1,8] ; [1,5,4,6,8] ; [5,1,4,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=3 | 3x-21=3 ; 3x=24 ; x=8 |
list_summation | list_summation:pairwise | 6, 2, 6, 5 | 6+2=8 ; 6+5=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 1, 5, 7 | [1,2,3,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 989+740 | p100:900+700=1600 ; p10:80+40=120 ; p1:9+0=9 ; sum=1600+120+9=1729 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=8 | 2x+16=8 ; x=(8-16)/2 ; x=-8/2 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 963+980 | round:970+980=1950 ; adjust:1950-7=1943 ; sum=1943 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 5, 8, 4 | [2,8,5,1,4] ; [8,2,5,1,4] ; [8,4,5,1,2] ; [2,4,5,1,8] ; [5,4,2,1,8] ; [1,4,2,5,8] ; [4,1,2,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
list_summation | list_summation:pairwise | 7, 6, 0, 8 | 7+6=13 ; 0+8=8 ; 13+8=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 8, 2, 1 | [6,7,8,2,1] ; [6,7,2,8,1] ; [6,7,2,1,8] ; [6,2,7,1,8] ; [6,2,1,7,8] ; [2,6,1,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) |
base_conversion | base_conversion:repeated-division | n=86,base=2 | DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010110 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=21 | 7x+21=21 ; x=(21-21)/7 ; x=0/7 ; x=0 |
base_conversion | base_conversion:decomposition | n=107,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1223 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-55 | 5x-30=-55 ; 5x=-25 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 638+542 | round:640+542=1182 ; adjust:1182-2=1180 ; sum=1180 |
list_summation | list_summation:left-to-right | 5, 9, 6, 2 | 5+9=14 ; 14+6=20 ; 20+2=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 409+958 | d2:9+8+0=17→w7,c1 ; d1:0+5+1=6→w6,c0 ; d0:4+9+0=13→w3,c1 ; sum=1367 |
multidigit_addition | multidigit_addition:rounding-decomposition | 218+123 | round:220+123=343 ; adjust:343-2=341 ; sum=341 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 7, 3, 2 | [9,3,7,0,2] ; [2,3,7,0,9] ; [7,3,2,0,9] ; [0,3,2,7,9] ; [3,0,2,7,9] ; [2,0,3,7,9] ; [0,2,3,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 5, 7, 7, 3 | 5+7=12 ; 12+7=19 ; 19+3=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 296+692 | d2:6+2+0=8→w8,c0 ; d1:9+9+0=18→w8,c1 ; d0:2+6+1=9→w9,c0 ; sum=988 |
base_conversion | base_conversion:via-binary | n=51,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:110011 |
base_conversion | base_conversion:decomposition | n=175,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10101111 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 9, 7, 0 | [6,7,9,4,0] ; [9,7,6,4,0] ; [0,7,6,4,9] ; [7,0,6,4,9] ; [7,4,6,0,9] ; [0,4,6,7,9] ; [6,4,0,7,9] ; [0,4,6,7,9] ; [4,0,6,7,9] ; [0,4,6,7,9] |
list_summation | list_summation:left-to-right | 0, 3, 7, 8 | 0+3=3 ; 3+7=10 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=30 | 6x-12=30 ; x+-2=5 ; x=5--2 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 684+695 | round:690+695=1385 ; adjust:1385-6=1379 ; sum=1379 |
list_summation | list_summation:pairwise | 8, 8, 1, 7 | 8+8=16 ; 1+7=8 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+4=32 | 4x+4=32 ; x=(32-4)/4 ; x=28/4 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 9, 5, 1 | [0,7,9,5,1] ; [0,1,9,5,7] ; [0,1,5,9,7] ; [0,1,5,7,9] |
list_summation | list_summation:left-to-right | 0, 2, 8, 3 | 0+2=2 ; 2+8=10 ; 10+3=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 4, 9, 2 | [1,6,4,9,2] ; [1,4,6,9,2] ; [1,4,6,9,2] ; [1,2,4,6,9] |
list_summation | list_summation:pairwise | 5, 5, 8, 7 | 5+5=10 ; 8+7=15 ; 10+15=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=16 | 8x+16=16 ; x+2=2 ; x=2-2 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 2, 3, 6 | [7,6,2,3,5] ; [5,6,2,3,7] ; [6,5,2,3,7] ; [3,5,2,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 1, 9, 8 | [5,9,1,0,8] ; [9,5,1,0,8] ; [9,8,1,0,5] ; [5,8,1,0,9] ; [8,5,1,0,9] ; [0,5,1,8,9] ; [5,0,1,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9] |
base_conversion | base_conversion:repeated-division | n=107,base=16 | DIV:107/16=6,r:11 ; DIV:6/16=0,r:6 ; OUT:6B |
base_conversion | base_conversion:via-binary | n=110,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1101110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=-39 | 3x-15=-39 ; x=(-39--15)/3 ; x=-24/3 ; x=-8 |
list_summation | list_summation:right-to-left | 1, 6, 6, 6 | 6+6=12 ; 6+12=18 ; 1+18=19 |
list_summation | list_summation:pairwise | 5, 0, 7, 6 | 5+0=5 ; 7+6=13 ; 5+13=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 1, 7, 0, 0 | 1+7=8 ; 0+0=0 ; 8+0=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 0, 7, 6 | [0,3,5,7,6] ; [0,3,5,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 3, 1, 7 | [0,3,9,1,7] ; [0,3,1,9,7] ; [0,3,1,7,9] ; [0,1,3,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 6, 3, 1 | [1,5,6,3,2] ; [1,2,6,3,5] ; [1,2,3,6,5] ; [1,2,3,5,6] |
base_conversion | base_conversion:repeated-division | n=154,base=4 | DIV:154/4=38,r:2 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2122 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,5) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 4, 5, 8 | [0,9,4,5,8] ; [0,4,5,9,8] ; [0,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,3) | D:(1,2) ; D:(2,2) ; R:(2,3) |
base_conversion | base_conversion:repeated-division | n=95,base=4 | DIV:95/4=23,r:3 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1133 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 109+492 | d2:9+2+0=11→w1,c1 ; d1:0+9+1=10→w0,c1 ; d0:1+4+1=6→w6,c0 ; sum=601 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 0, 2, 6 | [1,4,0,2,6] ; [0,1,4,2,6] ; [0,1,2,4,6] ; [0,1,2,4,6] |
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