task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 6, 3, 4 | [0,9,6,3,4] ; [0,6,9,3,4] ; [0,6,3,9,4] ; [0,6,3,4,9] ; [0,3,6,4,9] ; [0,3,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 6, 4, 5 | [2,9,6,4,5] ; [2,4,6,9,5] ; [2,4,5,9,6] ; [2,4,5,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 6, 8, 2 | [7,9,6,8,2] ; [6,7,9,8,2] ; [6,7,8,9,2] ; [2,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 2, 4, 5 | [2,6,7,4,5] ; [2,4,7,6,5] ; [2,4,5,6,7] ; [2,4,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 1, 3, 2 | [1,3,5,8,2] ; [1,2,3,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 3, 6, 0 | [0,8,3,6,2] ; [0,2,3,6,8] ; [0,2,3,6,8] ; [0,2,3,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+21=30 | 3x+21=30 ; x=(30-21)/3 ; x=9/3 ; x=3 |
base_conversion | base_conversion:decomposition | n=165,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:5*8^0=5 ; OUT:245 |
list_summation | list_summation:right-to-left | 7, 6, 6, 5 | 6+5=11 ; 6+11=17 ; 7+17=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 9, 2, 0 | [1,3,2,9,0] ; [1,3,2,0,9] ; [1,2,3,0,9] ; [1,2,0,3,9] ; [1,0,2,3,9] ; [0,1,2,3,9] |
base_conversion | base_conversion:decomposition | n=186,base=16 | TERM:11*16^1=176 ; TERM:10*16^0=10 ; OUT:BA |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 1, 8, 2 | [0,8,1,6,2] ; [8,0,1,6,2] ; [8,6,1,0,2] ; [2,6,1,0,8] ; [6,2,1,0,8] ; [0,2,1,6,8] ; [2,0,1,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 6, 3, 9 | [0,6,8,3,9] ; [0,6,3,8,9] ; [0,3,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 0, 9, 5 | [1,4,0,9,5] ; [1,0,4,9,5] ; [1,0,4,5,9] ; [0,1,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 871+790 | p100:800+700=1500 ; p10:70+90=160 ; p1:1+0=1 ; sum=1500+160+1=1661 |
list_summation | list_summation:left-to-right | 9, 7, 1, 1 | 9+7=16 ; 16+1=17 ; 17+1=18 |
base_conversion | base_conversion:via-binary | n=54,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:6 ; OUT:66 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 6, 0, 8 | [2,8,6,0,5] ; [8,2,6,0,5] ; [8,5,6,0,2] ; [2,5,6,0,8] ; [6,5,2,0,8] ; [0,5,2,6,8] ; [5,0,2,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8] |
list_summation | list_summation:left-to-right | 1, 9, 2, 8 | 1+9=10 ; 10+2=12 ; 12+8=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 191+746 | p100:100+700=800 ; p10:90+40=130 ; p1:1+6=7 ; sum=800+130+7=937 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 4, 5, 8 | [0,9,4,5,8] ; [0,4,9,5,8] ; [0,4,5,9,8] ; [0,4,5,8,9] |
base_conversion | base_conversion:repeated-division | n=151,base=2 | DIV:151/2=75,r:1 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; 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:10010111 |
list_summation | list_summation:pairwise | 8, 8, 1, 8 | 8+8=16 ; 1+8=9 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 9, 6, 5 | [4,8,6,9,5] ; [4,6,8,9,5] ; [4,5,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 401+531 | round:410+531=941 ; adjust:941-9=932 ; sum=932 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=9 | 3x+15=9 ; x+5=3 ; x=3-5 ; x=-2 |
list_summation | list_summation:right-to-left | 6, 8, 1, 2 | 1+2=3 ; 8+3=11 ; 6+11=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 549+773 | d2:9+3+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:5+7+1=13→w3,c1 ; sum=1322 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-5=-20 | 5x-5=-20 ; 5x=-15 ; x=-3 |
base_conversion | base_conversion:decomposition | n=178,base=16 | TERM:11*16^1=176 ; TERM:2*16^0=2 ; OUT:B2 |
base_conversion | base_conversion:decomposition | n=253,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3331 |
multidigit_addition | multidigit_addition:rounding-decomposition | 695+363 | round:700+363=1063 ; adjust:1063-5=1058 ; sum=1058 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:repeated-division | n=241,base=16 | DIV:241/16=15,r:1 ; DIV:15/16=0,r:15 ; OUT:F1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-126 | 9x-63=-126 ; 9x=-63 ; x=-7 |
base_conversion | base_conversion:via-binary | n=63,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:333 |
base_conversion | base_conversion:decomposition | n=24,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:120 |
base_conversion | base_conversion:via-binary | n=214,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:6 ; OUT:326 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 7, 6, 1 | [1,2,7,6,3] ; [1,2,7,6,3] ; [1,2,3,6,7] ; [1,2,3,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
list_summation | list_summation:pairwise | 1, 6, 4, 9 | 1+6=7 ; 4+9=13 ; 7+13=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=-18 | 9x-36=-18 ; x+-4=-2 ; x=-2--4 ; x=2 |
list_summation | list_summation:right-to-left | 1, 4, 6, 7 | 6+7=13 ; 4+13=17 ; 1+17=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=-7 | 7x+28=-7 ; 7x=-35 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 2, 3, 9 | [2,3,4,8,9] |
base_conversion | base_conversion:via-binary | n=176,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:0 ; OUT:B0 |
list_summation | list_summation:pairwise | 9, 6, 4, 5 | 9+6=15 ; 4+5=9 ; 15+9=24 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 8, 1, 7 | [6,7,8,1,0] ; [8,7,6,1,0] ; [0,7,6,1,8] ; [7,0,6,1,8] ; [7,1,6,0,8] ; [0,1,6,7,8] ; [6,1,0,7,8] ; [0,1,6,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
base_conversion | base_conversion:repeated-division | n=241,base=2 | DIV:241/2=120,r:1 ; DIV:120/2=60,r:0 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11110001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 780+452 | p100:700+400=1100 ; p10:80+50=130 ; p1:0+2=2 ; sum=1100+130+2=1232 |
base_conversion | base_conversion:repeated-division | n=180,base=2 | DIV:180/2=90,r:0 ; DIV:90/2=45,r:0 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 344+968 | round:350+968=1318 ; adjust:1318-6=1312 ; sum=1312 |
multidigit_addition | multidigit_addition:right-to-left-carry | 446+731 | d2:6+1+0=7→w7,c0 ; d1:4+3+0=7→w7,c0 ; d0:4+7+0=11→w1,c1 ; sum=1177 |
multidigit_addition | multidigit_addition:right-to-left-carry | 744+894 | d2:4+4+0=8→w8,c0 ; d1:4+9+0=13→w3,c1 ; d0:7+8+1=16→w6,c1 ; sum=1638 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 9, 1, 8 | [3,6,9,1,8] ; [3,6,9,1,8] ; [1,3,6,9,8] ; [1,3,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 1, 6, 7 | [8,7,1,6,0] ; [0,7,1,6,8] ; [7,0,1,6,8] ; [7,6,1,0,8] ; [0,6,1,7,8] ; [6,0,1,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
list_summation | list_summation:pairwise | 1, 6, 3, 5 | 1+6=7 ; 3+5=8 ; 7+8=15 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 0, 1, 4 | [3,6,0,1,4] ; [0,3,6,1,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 0, 9, 5 | [2,6,0,9,5] ; [2,0,6,9,5] ; [2,0,6,5,9] ; [0,2,6,5,9] ; [0,2,5,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=77 | 7x+63=77 ; x+9=11 ; x=11-9 ; x=2 |
base_conversion | base_conversion:decomposition | n=232,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:350 |
base_conversion | base_conversion:repeated-division | n=78,base=2 | DIV:78/2=39,r:0 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; 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:1001110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=-36 | 4x-28=-36 ; x+-7=-9 ; x=-9--7 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 519+799 | d2:9+9+0=18→w8,c1 ; d1:1+9+1=11→w1,c1 ; d0:5+7+1=13→w3,c1 ; sum=1318 |
list_summation | list_summation:left-to-right | 9, 9, 9, 1 | 9+9=18 ; 18+9=27 ; 27+1=28 |
list_summation | list_summation:right-to-left | 1, 7, 0, 9 | 0+9=9 ; 7+9=16 ; 1+16=17 |
list_summation | list_summation:right-to-left | 8, 2, 4, 5 | 4+5=9 ; 2+9=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 7, 2, 5, 1 | [7,0,2,5,1] ; [7,5,2,0,1] ; [1,5,2,0,7] ; [5,1,2,0,7] ; [0,1,2,5,7] ; [2,1,0,5,7] ; [0,1,2,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 831+920 | p100:800+900=1700 ; p10:30+20=50 ; p1:1+0=1 ; sum=1700+50+1=1751 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 0, 8, 7 | [5,8,0,3,7] ; [8,5,0,3,7] ; [8,7,0,3,5] ; [5,7,0,3,8] ; [7,5,0,3,8] ; [3,5,0,7,8] ; [5,3,0,7,8] ; [0,3,5,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 1, 5, 0 | [1,5,6,7,0] ; [0,1,5,6,7] |
list_summation | list_summation:pairwise | 8, 0, 7, 4 | 8+0=8 ; 7+4=11 ; 8+11=19 |
list_summation | list_summation:right-to-left | 6, 9, 2, 1 | 2+1=3 ; 9+3=12 ; 6+12=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 783+916 | round:790+916=1706 ; adjust:1706-7=1699 ; sum=1699 |
multidigit_addition | multidigit_addition:right-to-left-carry | 510+891 | d2:0+1+0=1→w1,c0 ; d1:1+9+0=10→w0,c1 ; d0:5+8+1=14→w4,c1 ; sum=1401 |
multidigit_addition | multidigit_addition:left-to-right-partials | 752+561 | p100:700+500=1200 ; p10:50+60=110 ; p1:2+1=3 ; sum=1200+110+3=1313 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 6, 1, 5 | [1,2,6,9,5] ; [1,2,6,9,5] ; [1,2,5,9,6] ; [1,2,5,6,9] |
list_summation | list_summation:left-to-right | 8, 0, 3, 7 | 8+0=8 ; 8+3=11 ; 11+7=18 |
list_summation | list_summation:pairwise | 5, 8, 4, 2 | 5+8=13 ; 4+2=6 ; 13+6=19 |
base_conversion | base_conversion:repeated-division | n=167,base=2 | DIV:167/2=83,r:1 ; DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; 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:10100111 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 3, 8, 7 | [2,6,3,8,7] ; [2,3,6,8,7] ; [2,3,6,8,7] ; [2,3,6,7,8] |
base_conversion | base_conversion:repeated-division | n=145,base=4 | DIV:145/4=36,r:1 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2101 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 5, 3, 0 | [7,8,5,3,0] ; [7,8,3,5,0] ; [3,5,7,8,0] ; [0,3,5,7,8] |
list_summation | list_summation:pairwise | 1, 9, 9, 0 | 1+9=10 ; 9+0=9 ; 10+9=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 6, 9, 2 | [3,8,6,9,2] ; [3,6,8,9,2] ; [3,6,8,9,2] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 5, 1, 2 | [2,3,5,1,6] ; [5,3,2,1,6] ; [1,3,2,5,6] ; [3,1,2,5,6] ; [2,1,3,5,6] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 2, 6, 3 | [7,2,8,6,3] ; [7,2,6,8,3] ; [7,2,6,3,8] ; [2,7,6,3,8] ; [2,6,7,3,8] ; [2,6,3,7,8] ; [2,3,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 0, 2, 7 | [8,9,0,2,7] ; [0,8,9,2,7] ; [0,2,8,9,7] ; [0,2,7,8,9] |
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