task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 2, 0, 7 | [1,6,0,2,7] ; [0,1,2,6,7] |
base_conversion | base_conversion:via-binary | n=224,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3200 |
base_conversion | base_conversion:repeated-division | n=93,base=16 | DIV:93/16=5,r:13 ; DIV:5/16=0,r:5 ; OUT:5D |
multidigit_addition | multidigit_addition:left-to-right-partials | 221+650 | p100:200+600=800 ; p10:20+50=70 ; p1:1+0=1 ; sum=800+70+1=871 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 0, 9, 8 | [1,4,0,9,8] ; [0,1,4,9,8] ; [0,1,4,9,8] ; [0,1,4,8,9] |
list_summation | list_summation:pairwise | 4, 4, 8, 8 | 4+4=8 ; 8+8=16 ; 8+16=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 370+146 | round:370+146=516 ; adjust:516-0=516 ; sum=516 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=10 | 2x-8=10 ; x+-4=5 ; x=5--4 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-84 | 6x-54=-84 ; 6x=-30 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=98 | 7x+56=98 ; x=(98-56)/7 ; x=42/7 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=0 | 2x+6=0 ; 2x=-6 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 779+798 | round:780+798=1578 ; adjust:1578-1=1577 ; sum=1577 |
multidigit_addition | multidigit_addition:right-to-left-carry | 269+756 | d2:9+6+0=15→w5,c1 ; d1:6+5+1=12→w2,c1 ; d0:2+7+1=10→w0,c1 ; sum=1025 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 5, 0, 9 | [8,9,5,0,3] ; [9,8,5,0,3] ; [3,8,5,0,9] ; [8,3,5,0,9] ; [0,3,5,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=-21 | 7x-7=-21 ; x=(-21--7)/7 ; x=-14/7 ; x=-2 |
base_conversion | base_conversion:decomposition | n=119,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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1110111 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 4, 7, 6 | [0,9,4,7,6] ; [0,4,9,7,6] ; [0,4,6,7,9] ; [0,4,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 9, 0, 7 | [8,7,9,0,3] ; [9,7,8,0,3] ; [3,7,8,0,9] ; [8,7,3,0,9] ; [0,7,3,8,9] ; [7,0,3,8,9] ; [3,0,7,8,9] ; [0,3,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 1, 6, 5 | [1,2,6,7,5] ; [1,2,5,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; D:(1,3) ; R:(1,4) |
list_summation | list_summation:pairwise | 6, 2, 0, 4 | 6+2=8 ; 0+4=4 ; 8+4=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=0 | 6x+42=0 ; x+7=0 ; x=0-7 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 175+454 | d2:5+4+0=9→w9,c0 ; d1:7+5+0=12→w2,c1 ; d0:1+4+1=6→w6,c0 ; sum=629 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 7, 4, 9 | [6,9,7,4,3] ; [9,6,7,4,3] ; [3,6,7,4,9] ; [7,6,3,4,9] ; [4,6,3,7,9] ; [6,4,3,7,9] ; [3,4,6,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 6, 0, 4 | [2,5,6,0,4] ; [2,5,0,6,4] ; [0,2,5,6,4] ; [0,2,4,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 4, 1, 2 | [3,4,7,1,2] ; [3,4,1,7,2] ; [3,4,1,2,7] ; [3,1,4,2,7] ; [3,1,2,4,7] ; [1,3,2,4,7] ; [1,2,3,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=84 | 6x+42=84 ; x=(84-42)/6 ; x=42/6 ; x=7 |
list_summation | list_summation:left-to-right | 7, 7, 1, 7 | 7+7=14 ; 14+1=15 ; 15+7=22 |
base_conversion | base_conversion:repeated-division | n=99,base=8 | DIV:99/8=12,r:3 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:143 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 7, 8, 1 | [1,6,7,8,2] ; [1,2,7,8,6] ; [1,2,6,8,7] ; [1,2,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,4) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 2, 7, 3 | [0,6,2,7,3] ; [0,2,6,7,3] ; [0,2,6,7,3] ; [0,2,3,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 8, 3, 1 | [4,5,3,8,1] ; [4,5,3,1,8] ; [4,3,5,1,8] ; [4,3,1,5,8] ; [3,4,1,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+48=40 | 8x+48=40 ; x=(40-48)/8 ; x=-8/8 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 385+883 | round:390+883=1273 ; adjust:1273-5=1268 ; sum=1268 |
list_summation | list_summation:right-to-left | 5, 6, 2, 9 | 2+9=11 ; 6+11=17 ; 5+17=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 2, 3, 7 | [2,3,6,8,7] ; [2,3,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 8, 7, 4 | [9,0,8,7,4] ; [9,7,8,0,4] ; [4,7,8,0,9] ; [8,7,4,0,9] ; [0,7,4,8,9] ; [7,0,4,8,9] ; [4,0,7,8,9] ; [0,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 419+157 | p100:400+100=500 ; p10:10+50=60 ; p1:9+7=16 ; sum=500+60+16=576 |
list_summation | list_summation:right-to-left | 0, 0, 9, 8 | 9+8=17 ; 0+17=17 ; 0+17=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 769+427 | d2:9+7+0=16→w6,c1 ; d1:6+2+1=9→w9,c0 ; d0:7+4+0=11→w1,c1 ; sum=1196 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 5, 6, 3 | [7,8,5,6,3] ; [5,6,7,8,3] ; [3,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 1, 8, 3 | [0,1,4,8,3] ; [0,1,3,4,8] |
list_summation | list_summation:pairwise | 3, 3, 4, 2 | 3+3=6 ; 4+2=6 ; 6+6=12 |
list_summation | list_summation:right-to-left | 8, 7, 4, 3 | 4+3=7 ; 7+7=14 ; 8+14=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 8, 1, 3 | [0,4,8,1,3] ; [0,4,8,1,3] ; [0,1,4,8,3] ; [0,1,3,4,8] |
list_summation | list_summation:left-to-right | 5, 5, 9, 5 | 5+5=10 ; 10+9=19 ; 19+5=24 |
list_summation | list_summation:right-to-left | 5, 6, 6, 4 | 6+4=10 ; 6+10=16 ; 5+16=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 651+530 | p100:600+500=1100 ; p10:50+30=80 ; p1:1+0=1 ; sum=1100+80+1=1181 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 0, 8, 9 | [6,9,0,8,1] ; [9,6,0,8,1] ; [9,8,0,6,1] ; [1,8,0,6,9] ; [8,1,0,6,9] ; [8,6,0,1,9] ; [1,6,0,8,9] ; [6,1,0,8,9] ; [0,1,6,8,9] ; [1,0,6,8,9] ; [0,1,6,8,9] |
base_conversion | base_conversion:repeated-division | n=105,base=8 | DIV:105/8=13,r:1 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:151 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=52 | 4x+16=52 ; 4x=36 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 111+562 | d2:1+2+0=3→w3,c0 ; d1:1+6+0=7→w7,c0 ; d0:1+5+0=6→w6,c0 ; sum=673 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 3, 5, 8 | [2,9,3,5,8] ; [2,3,9,5,8] ; [2,3,5,9,8] ; [2,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=15 | 5x-20=15 ; x=(15--20)/5 ; x=35/5 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=136 | 8x+64=136 ; x+8=17 ; x=17-8 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=-27 | 9x+45=-27 ; 9x=-72 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=198,base=4 | DIV:198/4=49,r:2 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3012 |
multidigit_addition | multidigit_addition:right-to-left-carry | 955+697 | d2:5+7+0=12→w2,c1 ; d1:5+9+1=15→w5,c1 ; d0:9+6+1=16→w6,c1 ; sum=1652 |
base_conversion | base_conversion:repeated-division | n=64,base=8 | DIV:64/8=8,r:0 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 773+704 | round:780+704=1484 ; adjust:1484-7=1477 ; sum=1477 |
multidigit_addition | multidigit_addition:right-to-left-carry | 840+751 | d2:0+1+0=1→w1,c0 ; d1:4+5+0=9→w9,c0 ; d0:8+7+0=15→w5,c1 ; sum=1591 |
list_summation | list_summation:pairwise | 2, 6, 9, 1 | 2+6=8 ; 9+1=10 ; 8+10=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 3, 8, 6 | [4,5,3,8,6] ; [3,4,5,8,6] ; [3,4,5,8,6] ; [3,4,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 5, 2, 0 | [5,3,4,2,0] ; [0,3,4,2,5] ; [4,3,0,2,5] ; [2,3,0,4,5] ; [3,2,0,4,5] ; [0,2,3,4,5] ; [2,0,3,4,5] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=-21 | 7x+0=-21 ; x+0=-3 ; x=-3-0 ; x=-3 |
base_conversion | base_conversion:decomposition | n=198,base=16 | TERM:12*16^1=192 ; TERM:6*16^0=6 ; OUT:C6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 870+652 | d2:0+2+0=2→w2,c0 ; d1:7+5+0=12→w2,c1 ; d0:8+6+1=15→w5,c1 ; sum=1522 |
multidigit_addition | multidigit_addition:rounding-decomposition | 143+368 | round:150+368=518 ; adjust:518-7=511 ; sum=511 |
list_summation | list_summation:pairwise | 1, 2, 3, 3 | 1+2=3 ; 3+3=6 ; 3+6=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 613+933 | d2:3+3+0=6→w6,c0 ; d1:1+3+0=4→w4,c0 ; d0:6+9+0=15→w5,c1 ; sum=1546 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-20 | 5x-10=-20 ; x+-2=-4 ; x=-4--2 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 585+495 | round:590+495=1085 ; adjust:1085-5=1080 ; sum=1080 |
base_conversion | base_conversion:decomposition | n=218,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:3122 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-90 | 9x-72=-90 ; x+-8=-10 ; x=-10--8 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=74,base=8 | DIV:74/8=9,r:2 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:112 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-8 | 2x-14=-8 ; 2x=6 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 5, 3, 7 | [2,7,5,3,6] ; [7,2,5,3,6] ; [7,6,5,3,2] ; [2,6,5,3,7] ; [6,2,5,3,7] ; [6,3,5,2,7] ; [2,3,5,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
list_summation | list_summation:pairwise | 2, 5, 6, 2 | 2+5=7 ; 6+2=8 ; 7+8=15 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 2, 9, 4 | [6,7,2,9,4] ; [2,6,7,9,4] ; [2,6,7,9,4] ; [2,4,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 5, 4, 8 | [2,6,5,4,8] ; [2,6,4,5,8] ; [2,4,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 436+649 | d2:6+9+0=15→w5,c1 ; d1:3+4+1=8→w8,c0 ; d0:4+6+0=10→w0,c1 ; sum=1085 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=-6 | 6x-12=-6 ; x=(-6--12)/6 ; x=6/6 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=10 | 5x+45=10 ; x+9=2 ; x=2-9 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=190,base=16 | DIV:190/16=11,r:14 ; DIV:11/16=0,r:11 ; OUT:BE |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 7, 2, 8 | [4,6,7,2,8] ; [4,6,7,2,8] ; [2,4,6,7,8] ; [2,4,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 1, 7, 0 | [0,8,1,7,9] ; [0,1,8,7,9] ; [0,1,7,8,9] ; [0,1,7,8,9] |
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