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 | 5, 6, 4, 4 | 4+4=8 ; 6+8=14 ; 5+14=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 899+338 | d2:9+8+0=17→w7,c1 ; d1:9+3+1=13→w3,c1 ; d0:8+3+1=12→w2,c1 ; sum=1237 |
list_summation | list_summation:left-to-right | 5, 8, 7, 2 | 5+8=13 ; 13+7=20 ; 20+2=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 459+958 | d2:9+8+0=17→w7,c1 ; d1:5+5+1=11→w1,c1 ; d0:4+9+1=14→w4,c1 ; sum=1417 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 409+688 | p100:400+600=1000 ; p10:0+80=80 ; p1:9+8=17 ; sum=1000+80+17=1097 |
multidigit_addition | multidigit_addition:right-to-left-carry | 414+926 | d2:4+6+0=10→w0,c1 ; d1:1+2+1=4→w4,c0 ; d0:4+9+0=13→w3,c1 ; sum=1340 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 0, 8, 4 | [2,9,0,8,4] ; [0,2,9,8,4] ; [0,2,8,9,4] ; [0,2,4,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 409+395 | d2:9+5+0=14→w4,c1 ; d1:0+9+1=10→w0,c1 ; d0:4+3+1=8→w8,c0 ; sum=804 |
base_conversion | base_conversion:via-binary | n=159,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:15 ; OUT:9F |
base_conversion | base_conversion:decomposition | n=239,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3233 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=8 | 2x+2=8 ; 2x=6 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-84 | 7x-28=-84 ; x+-4=-12 ; x=-12--4 ; x=-8 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 0, 8, 6 | [0,2,7,8,6] ; [0,2,7,8,6] ; [0,2,6,8,7] ; [0,2,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 2, 0, 8 | [0,5,2,9,8] ; [0,2,5,9,8] ; [0,2,5,9,8] ; [0,2,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=82,base=8 | DIV:82/8=10,r:2 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:122 |
multidigit_addition | multidigit_addition:left-to-right-partials | 649+631 | p100:600+600=1200 ; p10:40+30=70 ; p1:9+1=10 ; sum=1200+70+10=1280 |
base_conversion | base_conversion:via-binary | n=251,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:3 ; OUT:373 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 8, 0, 5 | [2,6,8,0,5] ; [2,6,8,0,5] ; [0,2,6,8,5] ; [0,2,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 3, 1, 8 | [2,9,3,1,8] ; [2,3,9,1,8] ; [1,2,3,9,8] ; [1,2,3,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 0, 8, 7 | [4,9,0,8,7] ; [0,4,9,8,7] ; [0,4,8,9,7] ; [0,4,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 355+388 | round:360+388=748 ; adjust:748-5=743 ; sum=743 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 4, 0, 5, 2 | [0,3,4,5,2] ; [0,2,3,4,5] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 2, 3, 1, 8 | [0,2,3,1,8] ; [0,1,3,2,8] ; [0,1,2,3,8] ; [0,1,2,3,8] |
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) |
base_conversion | base_conversion:decomposition | n=9,base=8 | TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 9, 4, 6 | [1,7,9,4,6] ; [1,7,4,9,6] ; [1,7,4,6,9] ; [1,4,7,6,9] ; [1,4,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 849+406 | round:850+406=1256 ; adjust:1256-1=1255 ; sum=1255 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-9 | 9x-18=-9 ; x=(-9--18)/9 ; x=9/9 ; x=1 |
base_conversion | base_conversion:decomposition | n=35,base=16 | TERM:2*16^1=32 ; TERM:3*16^0=3 ; OUT:23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=80 | 8x+8=80 ; x=(80-8)/8 ; x=72/8 ; x=9 |
base_conversion | base_conversion:decomposition | n=95,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1011111 |
list_summation | list_summation:pairwise | 4, 9, 6, 4 | 4+9=13 ; 6+4=10 ; 13+10=23 |
list_summation | list_summation:left-to-right | 7, 8, 0, 1 | 7+8=15 ; 15+0=15 ; 15+1=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 143+690 | d2:3+0+0=3→w3,c0 ; d1:4+9+0=13→w3,c1 ; d0:1+6+1=8→w8,c0 ; sum=833 |
multidigit_addition | multidigit_addition:rounding-decomposition | 857+762 | round:860+762=1622 ; adjust:1622-3=1619 ; sum=1619 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+16=24 | 4x+16=24 ; x=(24-16)/4 ; x=8/4 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 0, 6, 5 | [0,9,2,6,5] ; [0,2,9,6,5] ; [0,2,5,6,9] ; [0,2,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 135+659 | d2:5+9+0=14→w4,c1 ; d1:3+5+1=9→w9,c0 ; d0:1+6+0=7→w7,c0 ; sum=794 |
multidigit_addition | multidigit_addition:right-to-left-carry | 635+504 | d2:5+4+0=9→w9,c0 ; d1:3+0+0=3→w3,c0 ; d0:6+5+0=11→w1,c1 ; sum=1139 |
base_conversion | base_conversion:via-binary | n=131,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:203 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 5, 8, 1 | [6,8,5,3,1] ; [8,6,5,3,1] ; [1,6,5,3,8] ; [6,1,5,3,8] ; [6,3,5,1,8] ; [1,3,5,6,8] ; [5,3,1,6,8] ; [1,3,5,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
list_summation | list_summation:left-to-right | 0, 0, 6, 2 | 0+0=0 ; 0+6=6 ; 6+2=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 1, 8, 3 | [1,4,6,8,3] ; [1,3,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=10 | 5x+10=10 ; x+2=2 ; x=2-2 ; x=0 |
list_summation | list_summation:right-to-left | 2, 1, 9, 6 | 9+6=15 ; 1+15=16 ; 2+16=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 950+900 | round:950+900=1850 ; adjust:1850-0=1850 ; sum=1850 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 3, 9, 6 | [1,2,3,9,6] ; [1,2,3,9,6] ; [1,2,3,9,6] ; [1,2,3,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 0, 6, 2 | [1,5,0,6,2] ; [0,1,5,6,2] ; [0,1,5,6,2] ; [0,1,2,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:decomposition | n=29,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:131 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=32 | 8x-16=32 ; x+-2=4 ; x=4--2 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 1, 4, 2 | [6,7,1,4,2] ; [1,4,6,7,2] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 5, 0, 4 | [6,7,5,0,4] ; [5,6,7,0,4] ; [0,5,6,7,4] ; [0,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=0 | 7x+42=0 ; 7x=-42 ; x=-6 |
base_conversion | base_conversion:via-binary | n=167,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2213 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 4, 0, 6, 2 | [9,6,0,4,2] ; [2,6,0,4,9] ; [6,2,0,4,9] ; [6,4,0,2,9] ; [2,4,0,6,9] ; [4,2,0,6,9] ; [0,2,4,6,9] ; [2,0,4,6,9] ; [0,2,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=111,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:157 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-6 | 6x-48=-6 ; x=(-6--48)/6 ; x=42/6 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 951+363 | round:960+363=1323 ; adjust:1323-9=1314 ; sum=1314 |
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) |
base_conversion | base_conversion:repeated-division | n=201,base=16 | DIV:201/16=12,r:9 ; DIV:12/16=0,r:12 ; OUT:C9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 809+160 | round:810+160=970 ; adjust:970-1=969 ; sum=969 |
base_conversion | base_conversion:decomposition | n=32,base=8 | TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:40 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 2, 4, 5 | [2,6,3,4,5] ; [2,3,6,4,5] ; [2,3,4,6,5] ; [2,3,4,5,6] |
list_summation | list_summation:left-to-right | 6, 1, 5, 8 | 6+1=7 ; 7+5=12 ; 12+8=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 6, 2, 4 | [0,6,7,2,4] ; [0,6,2,7,4] ; [0,6,2,4,7] ; [0,2,6,4,7] ; [0,2,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 850+798 | p100:800+700=1500 ; p10:50+90=140 ; p1:0+8=8 ; sum=1500+140+8=1648 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=0 | 9x-72=0 ; x=(0--72)/9 ; x=72/9 ; x=8 |
list_summation | list_summation:left-to-right | 0, 4, 9, 8 | 0+4=4 ; 4+9=13 ; 13+8=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 7, 2, 4 | [8,9,2,7,4] ; [2,7,8,9,4] ; [2,4,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 2, 4, 3 | [8,1,2,4,3] ; [8,4,2,1,3] ; [3,4,2,1,8] ; [4,3,2,1,8] ; [1,3,2,4,8] ; [3,1,2,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 958+259 | p100:900+200=1100 ; p10:50+50=100 ; p1:8+9=17 ; sum=1100+100+17=1217 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 1, 8, 5 | [1,4,9,8,5] ; [1,4,9,8,5] ; [1,4,5,8,9] ; [1,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=217,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121 |
multidigit_addition | multidigit_addition:rounding-decomposition | 468+732 | round:470+732=1202 ; adjust:1202-2=1200 ; sum=1200 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=10 | 5x+40=10 ; 5x=-30 ; x=-6 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 6, 0, 4 | [4,5,6,0,8] ; [6,5,4,0,8] ; [0,5,4,6,8] ; [5,0,4,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 892+861 | p100:800+800=1600 ; p10:90+60=150 ; p1:2+1=3 ; sum=1600+150+3=1753 |
multidigit_addition | multidigit_addition:rounding-decomposition | 163+730 | round:170+730=900 ; adjust:900-7=893 ; sum=893 |
list_summation | list_summation:left-to-right | 2, 9, 5, 8 | 2+9=11 ; 11+5=16 ; 16+8=24 |
base_conversion | base_conversion:repeated-division | n=71,base=4 | DIV:71/4=17,r:3 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1013 |
multidigit_addition | multidigit_addition:left-to-right-partials | 642+987 | p100:600+900=1500 ; p10:40+80=120 ; p1:2+7=9 ; sum=1500+120+9=1629 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 0, 2, 6 | [4,6,0,2,3] ; [6,4,0,2,3] ; [3,4,0,2,6] ; [4,3,0,2,6] ; [2,3,0,4,6] ; [3,2,0,4,6] ; [0,2,3,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6] |
list_summation | list_summation:pairwise | 2, 9, 9, 6 | 2+9=11 ; 9+6=15 ; 11+15=26 |
base_conversion | base_conversion:decomposition | n=186,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:272 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 4, 8, 7 | [3,8,4,2,7] ; [8,3,4,2,7] ; [8,7,4,2,3] ; [3,7,4,2,8] ; [7,3,4,2,8] ; [2,3,4,7,8] ; [4,3,2,7,8] ; [2,3,4,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 8, 7, 0 | [0,6,8,7,9] ; [0,6,8,7,9] ; [0,6,7,8,9] ; [0,6,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=-18 | 9x-45=-18 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=40 | 5x+10=40 ; x=(40-10)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:via-binary | n=193,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 540+924 | p100:500+900=1400 ; p10:40+20=60 ; p1:0+4=4 ; sum=1400+60+4=1464 |
base_conversion | base_conversion:decomposition | n=17,base=8 | TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 719+886 | round:720+886=1606 ; adjust:1606-1=1605 ; sum=1605 |
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