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 | 7, 4, 2, 1, 0 | [4,7,2,1,0] ; [4,2,7,1,0] ; [4,2,1,7,0] ; [4,2,1,0,7] ; [2,4,1,0,7] ; [2,1,4,0,7] ; [2,1,0,4,7] ; [1,2,0,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 3, 8, 0, 1 | [2,3,0,8,1] ; [2,3,0,1,8] ; [2,0,3,1,8] ; [2,0,1,3,8] ; [0,2,1,3,8] ; [0,1,2,3,8] |
base_conversion | base_conversion:decomposition | n=187,base=16 | TERM:11*16^1=176 ; TERM:11*16^0=11 ; OUT:BB |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=109,base=4 | DIV:109/4=27,r:1 ; DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1231 |
base_conversion | base_conversion:decomposition | n=43,base=16 | TERM:2*16^1=32 ; TERM:11*16^0=11 ; OUT:2B |
list_summation | list_summation:left-to-right | 5, 2, 5, 0 | 5+2=7 ; 7+5=12 ; 12+0=12 |
base_conversion | base_conversion:via-binary | n=104,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:8 ; OUT:68 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-14 | 7x-14=-14 ; x=(-14--14)/7 ; x=0/7 ; x=0 |
base_conversion | base_conversion:repeated-division | n=21,base=8 | DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:25 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 4, 9, 3 | [0,6,4,9,3] ; [0,3,4,9,6] ; [0,3,4,9,6] ; [0,3,4,6,9] |
list_summation | list_summation:pairwise | 7, 1, 7, 5 | 7+1=8 ; 7+5=12 ; 8+12=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=24 | 8x+24=24 ; 8x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 492+973 | round:500+973=1473 ; adjust:1473-8=1465 ; sum=1465 |
list_summation | list_summation:pairwise | 0, 2, 9, 2 | 0+2=2 ; 9+2=11 ; 2+11=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 353+916 | p100:300+900=1200 ; p10:50+10=60 ; p1:3+6=9 ; sum=1200+60+9=1269 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-80 | 8x-48=-80 ; x=(-80--48)/8 ; x=-32/8 ; x=-4 |
base_conversion | base_conversion:decomposition | n=45,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:101101 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-21 | 7x-28=-21 ; x+-4=-3 ; x=-3--4 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=20 | 5x-5=20 ; x+-1=4 ; x=4--1 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 901+882 | round:910+882=1792 ; adjust:1792-9=1783 ; sum=1783 |
list_summation | list_summation:right-to-left | 0, 8, 0, 7 | 0+7=7 ; 8+7=15 ; 0+15=15 |
base_conversion | base_conversion:via-binary | n=128,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10000000 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=-25 | 5x+15=-25 ; x=(-25-15)/5 ; x=-40/5 ; x=-8 |
list_summation | list_summation:pairwise | 4, 2, 6, 9 | 4+2=6 ; 6+9=15 ; 6+15=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 541+527 | p100:500+500=1000 ; p10:40+20=60 ; p1:1+7=8 ; sum=1000+60+8=1068 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 3, 2, 5 | [0,9,3,2,5] ; [0,3,9,2,5] ; [0,2,3,9,5] ; [0,2,3,5,9] |
base_conversion | base_conversion:via-binary | n=170,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:10 ; OUT:AA |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-3 | 3x-27=-3 ; 3x=24 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 7, 8, 6 | [2,3,7,8,6] ; [2,3,7,8,6] ; [2,3,7,8,6] ; [2,3,6,7,8] |
base_conversion | base_conversion:repeated-division | n=190,base=8 | DIV:190/8=23,r:6 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:276 |
list_summation | list_summation:pairwise | 6, 3, 9, 4 | 6+3=9 ; 9+4=13 ; 9+13=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+608 | d2:5+8+0=13→w3,c1 ; d1:6+0+1=7→w7,c0 ; d0:2+6+0=8→w8,c0 ; sum=873 |
multidigit_addition | multidigit_addition:right-to-left-carry | 784+154 | d2:4+4+0=8→w8,c0 ; d1:8+5+0=13→w3,c1 ; d0:7+1+1=9→w9,c0 ; sum=938 |
list_summation | list_summation:pairwise | 6, 8, 8, 1 | 6+8=14 ; 8+1=9 ; 14+9=23 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 1, 6, 7 | [1,4,8,6,7] ; [1,4,8,6,7] ; [1,4,6,8,7] ; [1,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 615+406 | round:620+406=1026 ; adjust:1026-5=1021 ; sum=1021 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 8, 1, 5, 0 | 5+0=5 ; 1+5=6 ; 8+6=14 |
list_summation | list_summation:pairwise | 0, 5, 8, 5 | 0+5=5 ; 8+5=13 ; 5+13=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 1, 0, 3 | [0,8,1,2,3] ; [0,1,8,2,3] ; [0,1,2,8,3] ; [0,1,2,3,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 6, 0, 9 | [5,7,0,6,9] ; [0,5,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 8, 1, 2 | [5,6,1,8,2] ; [1,5,6,8,2] ; [1,2,5,6,8] |
base_conversion | base_conversion:repeated-division | n=168,base=16 | DIV:168/16=10,r:8 ; DIV:10/16=0,r:10 ; OUT:A8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 827+490 | d2:7+0+0=7→w7,c0 ; d1:2+9+0=11→w1,c1 ; d0:8+4+1=13→w3,c1 ; sum=1317 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 122+555 | d2:2+5+0=7→w7,c0 ; d1:2+5+0=7→w7,c0 ; d0:1+5+0=6→w6,c0 ; sum=677 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=0 | 9x+27=0 ; x=(0-27)/9 ; x=-27/9 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 8, 4, 5 | [0,7,8,4,5] ; [0,4,8,7,5] ; [0,4,5,7,8] ; [0,4,5,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 254+952 | d2:4+2+0=6→w6,c0 ; d1:5+5+0=10→w0,c1 ; d0:2+9+1=12→w2,c1 ; sum=1206 |
base_conversion | base_conversion:decomposition | n=197,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11000101 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-40 | 8x-64=-40 ; x=(-40--64)/8 ; x=24/8 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 302+484 | d2:2+4+0=6→w6,c0 ; d1:0+8+0=8→w8,c0 ; d0:3+4+0=7→w7,c0 ; sum=786 |
base_conversion | base_conversion:repeated-division | n=241,base=4 | DIV:241/4=60,r:1 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3301 |
list_summation | list_summation:pairwise | 8, 7, 7, 4 | 8+7=15 ; 7+4=11 ; 15+11=26 |
base_conversion | base_conversion:decomposition | n=215,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:11010111 |
list_summation | list_summation:pairwise | 7, 0, 0, 5 | 7+0=7 ; 0+5=5 ; 7+5=12 |
list_summation | list_summation:right-to-left | 4, 8, 0, 9 | 0+9=9 ; 8+9=17 ; 4+17=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=40 | 5x-5=40 ; x=(40--5)/5 ; x=45/5 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 9, 3, 0 | [9,8,1,3,0] ; [0,8,1,3,9] ; [8,0,1,3,9] ; [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] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 5, 9, 8 | [1,7,5,9,8] ; [1,5,7,9,8] ; [1,5,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 796+767 | d2:6+7+0=13→w3,c1 ; d1:9+6+1=16→w6,c1 ; d0:7+7+1=15→w5,c1 ; sum=1563 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 8, 6, 7 | [1,3,6,8,7] ; [1,3,6,7,8] |
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:selection-sort | 0, 7, 4, 3, 8 | [0,7,4,3,8] ; [0,3,4,7,8] ; [0,3,4,7,8] ; [0,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=211,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11010011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-42=0 | 7x-42=0 ; x=(0--42)/7 ; x=42/7 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 3, 7, 6, 2 | 6+2=8 ; 7+8=15 ; 3+15=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 1, 7, 0 | [0,6,1,7,2] ; [0,1,6,7,2] ; [0,1,2,7,6] ; [0,1,2,6,7] |
base_conversion | base_conversion:via-binary | n=137,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2021 |
base_conversion | base_conversion:repeated-division | n=39,base=8 | DIV:39/8=4,r:7 ; DIV:4/8=0,r:4 ; OUT:47 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+20=4 | 4x+20=4 ; x=(4-20)/4 ; x=-16/4 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 2, 2, 8, 9 | 2+2=4 ; 4+8=12 ; 12+9=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 8, 5, 1 | [3,6,8,5,1] ; [3,6,8,5,1] ; [3,5,6,8,1] ; [1,3,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=69,base=4 | DIV:69/4=17,r:1 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1011 |
list_summation | list_summation:right-to-left | 9, 9, 4, 8 | 4+8=12 ; 9+12=21 ; 9+21=30 |
multidigit_addition | multidigit_addition:rounding-decomposition | 169+998 | round:170+998=1168 ; adjust:1168-1=1167 ; sum=1167 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 3, 1, 9 | [1,8,3,4,9] ; [1,3,8,4,9] ; [1,3,4,8,9] ; [1,3,4,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=56 | 4x+36=56 ; 4x=20 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=70 | 7x+35=70 ; x+5=10 ; x=10-5 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 588+390 | p100:500+300=800 ; p10:80+90=170 ; p1:8+0=8 ; sum=800+170+8=978 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-54 | 6x-48=-54 ; x+-8=-9 ; x=-9--8 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 767+683 | round:770+683=1453 ; adjust:1453-3=1450 ; sum=1450 |
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:subtract-then-divide | 4x-24=-24 | 4x-24=-24 ; 4x=0 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+182 | d2:0+2+0=2→w2,c0 ; d1:0+8+0=8→w8,c0 ; d0:4+1+0=5→w5,c0 ; sum=582 |
list_summation | list_summation:left-to-right | 9, 5, 9, 1 | 9+5=14 ; 14+9=23 ; 23+1=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=27 | 3x+21=27 ; x+7=9 ; x=9-7 ; x=2 |
base_conversion | base_conversion:repeated-division | n=123,base=8 | DIV:123/8=15,r:3 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:173 |
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