task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 2, 3, 0 | [0,7,2,3,9] ; [7,0,2,3,9] ; [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] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-99 | 9x-63=-99 ; x+-7=-11 ; x=-11--7 ; x=-4 |
list_summation | list_summation:right-to-left | 0, 9, 5, 5 | 5+5=10 ; 9+10=19 ; 0+19=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=8 | 8x+24=8 ; 8x=-16 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 0, 6, 7, 8 | 0+6=6 ; 7+8=15 ; 6+15=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=-5 | 5x+20=-5 ; x+4=-1 ; x=-1-4 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-96 | 8x-24=-96 ; x+-3=-12 ; x=-12--3 ; x=-9 |
base_conversion | base_conversion:decomposition | n=6,base=8 | TERM:6*8^0=6 ; OUT:6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-2 | 2x-10=-2 ; x+-5=-1 ; x=-1--5 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 6, 3, 0 | [0,9,6,3,5] ; [0,3,6,9,5] ; [0,3,5,9,6] ; [0,3,5,6,9] |
base_conversion | base_conversion:decomposition | n=175,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:7*8^0=7 ; OUT:257 |
multidigit_addition | multidigit_addition:left-to-right-partials | 923+774 | p100:900+700=1600 ; p10:20+70=90 ; p1:3+4=7 ; sum=1600+90+7=1697 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 1, 0, 8 | [9,8,1,0,3] ; [3,8,1,0,9] ; [8,3,1,0,9] ; [0,3,1,8,9] ; [3,0,1,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 620+142 | round:620+142=762 ; adjust:762-0=762 ; sum=762 |
list_summation | list_summation:right-to-left | 4, 9, 1, 2 | 1+2=3 ; 9+3=12 ; 4+12=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
base_conversion | base_conversion:via-binary | n=236,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:12 ; OUT:EC |
multidigit_addition | multidigit_addition:rounding-decomposition | 464+723 | round:470+723=1193 ; adjust:1193-6=1187 ; sum=1187 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=16 | 8x-8=16 ; x+-1=2 ; x=2--1 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 3, 9, 2 | [6,8,3,9,2] ; [3,6,8,9,2] ; [3,6,8,9,2] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 4, 0, 6 | [1,2,4,0,6] ; [1,2,4,0,6] ; [0,1,2,4,6] ; [0,1,2,4,6] |
base_conversion | base_conversion:repeated-division | n=94,base=4 | DIV:94/4=23,r:2 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1132 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 1, 4, 5 | [0,3,1,4,5] ; [0,1,3,4,5] ; [0,1,3,4,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:repeated-division | n=214,base=16 | DIV:214/16=13,r:6 ; DIV:13/16=0,r:13 ; OUT:D6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 115+139 | p100:100+100=200 ; p10:10+30=40 ; p1:5+9=14 ; sum=200+40+14=254 |
multidigit_addition | multidigit_addition:right-to-left-carry | 455+737 | d2:5+7+0=12→w2,c1 ; d1:5+3+1=9→w9,c0 ; d0:4+7+0=11→w1,c1 ; sum=1192 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 1, 8, 0 | [2,9,1,8,0] ; [1,2,9,8,0] ; [1,2,8,9,0] ; [0,1,2,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 2, 4, 0 | [7,4,2,3,0] ; [0,4,2,3,7] ; [4,0,2,3,7] ; [4,3,2,0,7] ; [0,3,2,4,7] ; [3,0,2,4,7] ; [2,0,3,4,7] ; [0,2,3,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 783+695 | d2:3+5+0=8→w8,c0 ; d1:8+9+0=17→w7,c1 ; d0:7+6+1=14→w4,c1 ; sum=1478 |
base_conversion | base_conversion:repeated-division | n=208,base=16 | DIV:208/16=13,r:0 ; DIV:13/16=0,r:13 ; OUT:D0 |
list_summation | list_summation:right-to-left | 6, 1, 1, 1 | 1+1=2 ; 1+2=3 ; 6+3=9 |
base_conversion | base_conversion:decomposition | n=103,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 0, 7, 8 | [0,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 455+944 | round:460+944=1404 ; adjust:1404-5=1399 ; sum=1399 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-98 | 7x-35=-98 ; 7x=-63 ; x=-9 |
base_conversion | base_conversion:via-binary | n=180,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2310 |
base_conversion | base_conversion:decomposition | n=242,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11110010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 6, 0, 1 | [7,6,8,0,1] ; [7,6,0,8,1] ; [7,6,0,1,8] ; [6,7,0,1,8] ; [6,0,7,1,8] ; [6,0,1,7,8] ; [0,6,1,7,8] ; [0,1,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 378+798 | p100:300+700=1000 ; p10:70+90=160 ; p1:8+8=16 ; sum=1000+160+16=1176 |
base_conversion | base_conversion:via-binary | n=225,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:341 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,4) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 5, 9, 0 | [6,7,5,9,0] ; [5,6,7,9,0] ; [5,6,7,9,0] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=-35 | 7x+21=-35 ; x+3=-5 ; x=-5-3 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=185,base=16 | TERM:11*16^1=176 ; TERM:9*16^0=9 ; OUT:B9 |
list_summation | list_summation:right-to-left | 9, 2, 9, 8 | 9+8=17 ; 2+17=19 ; 9+19=28 |
multidigit_addition | multidigit_addition:rounding-decomposition | 377+445 | round:380+445=825 ; adjust:825-3=822 ; sum=822 |
base_conversion | base_conversion:decomposition | n=186,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10111010 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 4, 8, 2 | [2,5,4,8,3] ; [2,3,4,8,5] ; [2,3,4,8,5] ; [2,3,4,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=-30 | 5x+15=-30 ; 5x=-45 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=26 | 2x+16=26 ; x+8=13 ; x=13-8 ; x=5 |
list_summation | list_summation:right-to-left | 2, 1, 8, 8 | 8+8=16 ; 1+16=17 ; 2+17=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=-14 | 7x+49=-14 ; x+7=-2 ; x=-2-7 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 426+349 | round:430+349=779 ; adjust:779-4=775 ; sum=775 |
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) |
base_conversion | base_conversion:repeated-division | n=218,base=2 | DIV:218/2=109,r:0 ; DIV:109/2=54,r:1 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-12 | 3x-12=-12 ; x=(-12--12)/3 ; x=0/3 ; x=0 |
list_summation | list_summation:pairwise | 3, 5, 5, 2 | 3+5=8 ; 5+2=7 ; 8+7=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 8, 0, 6 | [1,5,8,0,6] ; [1,5,0,8,6] ; [1,5,0,6,8] ; [1,0,5,6,8] ; [0,1,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-14 | 7x-14=-14 ; x=(-14--14)/7 ; x=0/7 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 7, 0, 5 | [1,9,7,0,5] ; [1,7,9,0,5] ; [1,7,0,9,5] ; [1,7,0,5,9] ; [1,0,7,5,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 4, 3, 7 | [1,2,4,3,7] ; [1,2,3,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 935+359 | d2:5+9+0=14→w4,c1 ; d1:3+5+1=9→w9,c0 ; d0:9+3+0=12→w2,c1 ; sum=1294 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-30 | 6x+12=-30 ; x+2=-5 ; x=-5-2 ; x=-7 |
list_summation | list_summation:left-to-right | 2, 4, 9, 7 | 2+4=6 ; 6+9=15 ; 15+7=22 |
list_summation | list_summation:right-to-left | 8, 9, 5, 6 | 5+6=11 ; 9+11=20 ; 8+20=28 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 1, 4, 6, 0 | [1,7,4,6,0] ; [1,4,7,6,0] ; [1,4,6,7,0] ; [0,1,4,6,7] |
base_conversion | base_conversion:repeated-division | n=248,base=8 | DIV:248/8=31,r:0 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:370 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=66 | 6x+36=66 ; x+6=11 ; x=11-6 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 7, 1, 8 | [0,3,7,1,8] ; [0,3,7,1,8] ; [0,1,3,7,8] ; [0,1,3,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+383 | p100:900+300=1200 ; p10:70+80=150 ; p1:3+3=6 ; sum=1200+150+6=1356 |
list_summation | list_summation:right-to-left | 7, 1, 4, 0 | 4+0=4 ; 1+4=5 ; 7+5=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 2, 1, 6 | [3,6,2,1,5] ; [6,3,2,1,5] ; [6,5,2,1,3] ; [3,5,2,1,6] ; [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:selection-sort | 8, 9, 6, 4, 7 | [4,9,6,8,7] ; [4,6,9,8,7] ; [4,6,7,8,9] ; [4,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 2, 3, 1 | [1,9,2,3,8] ; [1,2,9,3,8] ; [1,2,3,9,8] ; [1,2,3,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 541+114 | d2:1+4+0=5→w5,c0 ; d1:4+1+0=5→w5,c0 ; d0:5+1+0=6→w6,c0 ; sum=655 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 2, 9, 4 | [2,3,8,9,4] ; [2,3,4,8,9] |
list_summation | list_summation:left-to-right | 9, 6, 5, 0 | 9+6=15 ; 15+5=20 ; 20+0=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=30 | 2x+12=30 ; x+6=15 ; x=15-6 ; x=9 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 3, 0, 6 | [8,2,3,0,6] ; [8,6,3,0,2] ; [2,6,3,0,8] ; [6,2,3,0,8] ; [0,2,3,6,8] ; [3,2,0,6,8] ; [0,2,3,6,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 4, 7, 2 | [5,6,4,7,2] ; [4,5,6,7,2] ; [4,5,6,7,2] ; [2,4,5,6,7] |
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 | 182+615 | d2:2+5+0=7→w7,c0 ; d1:8+1+0=9→w9,c0 ; d0:1+6+0=7→w7,c0 ; sum=797 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 956+362 | round:960+362=1322 ; adjust:1322-4=1318 ; sum=1318 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 4, 3, 9, 2 | [4,5,3,9,2] ; [4,3,5,9,2] ; [4,3,5,2,9] ; [3,4,5,2,9] ; [3,4,2,5,9] ; [3,2,4,5,9] ; [2,3,4,5,9] |
base_conversion | base_conversion:via-binary | n=245,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:5 ; OUT:365 |
base_conversion | base_conversion:repeated-division | n=38,base=4 | DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:212 |
base_conversion | base_conversion:repeated-division | n=49,base=8 | DIV:49/8=6,r:1 ; DIV:6/8=0,r:6 ; OUT:61 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=37,base=16 | TERM:2*16^1=32 ; TERM:5*16^0=5 ; OUT:25 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 5, 4, 6 | [6,7,5,4,9] ; [7,6,5,4,9] ; [4,6,5,7,9] ; [6,4,5,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 9, 3, 7, 5 | 9+3=12 ; 7+5=12 ; 12+12=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 185+271 | round:190+271=461 ; adjust:461-5=456 ; sum=456 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 5, 6, 7 | [1,8,5,6,7] ; [1,5,8,6,7] ; [1,5,6,8,7] ; [1,5,6,7,8] |
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