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 | 0, 3, 4, 9, 7 | [0,3,4,7,9] |
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:selection-sort | 3, 7, 6, 1, 8 | [1,7,6,3,8] ; [1,3,6,7,8] ; [1,3,6,7,8] ; [1,3,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 2, 9, 4 | [0,6,2,9,4] ; [0,2,6,9,4] ; [0,2,6,9,4] ; [0,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 0, 1, 8, 5 | 0+1=1 ; 1+8=9 ; 9+5=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,5) | D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-90 | 9x-81=-90 ; x+-9=-10 ; x=-10--9 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 612+781 | d2:2+1+0=3→w3,c0 ; d1:1+8+0=9→w9,c0 ; d0:6+7+0=13→w3,c1 ; sum=1393 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 6, 5, 2 | [9,0,6,5,2] ; [9,5,6,0,2] ; [2,5,6,0,9] ; [6,5,2,0,9] ; [0,5,2,6,9] ; [5,0,2,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9] |
list_summation | list_summation:left-to-right | 5, 2, 5, 9 | 5+2=7 ; 7+5=12 ; 12+9=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 649+372 | d2:9+2+0=11→w1,c1 ; d1:4+7+1=12→w2,c1 ; d0:6+3+1=10→w0,c1 ; sum=1021 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-10 | 5x-15=-10 ; x+-3=-2 ; x=-2--3 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 227+542 | d2:7+2+0=9→w9,c0 ; d1:2+4+0=6→w6,c0 ; d0:2+5+0=7→w7,c0 ; sum=769 |
multidigit_addition | multidigit_addition:right-to-left-carry | 549+581 | d2:9+1+0=10→w0,c1 ; d1:4+8+1=13→w3,c1 ; d0:5+5+1=11→w1,c1 ; sum=1130 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 6, 0, 8 | [0,3,6,1,8] ; [0,1,6,3,8] ; [0,1,3,6,8] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+977 | p100:900+900=1800 ; p10:70+70=140 ; p1:3+7=10 ; sum=1800+140+10=1950 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=51 | 3x+27=51 ; x=(51-27)/3 ; x=24/3 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 1, 2, 3 | [9,3,1,2,0] ; [0,3,1,2,9] ; [3,0,1,2,9] ; [3,2,1,0,9] ; [0,2,1,3,9] ; [2,0,1,3,9] ; [1,0,2,3,9] ; [0,1,2,3,9] |
list_summation | list_summation:left-to-right | 2, 5, 9, 8 | 2+5=7 ; 7+9=16 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=-6 | 3x+6=-6 ; x+2=-2 ; x=-2-2 ; x=-4 |
list_summation | list_summation:right-to-left | 7, 6, 8, 7 | 8+7=15 ; 6+15=21 ; 7+21=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; R:(1,3) ; D:(2,3) |
base_conversion | base_conversion:decomposition | n=238,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11101110 |
base_conversion | base_conversion:repeated-division | n=105,base=4 | DIV:105/4=26,r:1 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1221 |
base_conversion | base_conversion:via-binary | n=208,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3100 |
list_summation | list_summation:right-to-left | 0, 9, 0, 8 | 0+8=8 ; 9+8=17 ; 0+17=17 |
list_summation | list_summation:left-to-right | 6, 8, 0, 1 | 6+8=14 ; 14+0=14 ; 14+1=15 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 8, 3, 4 | [8,5,0,3,4] ; [4,5,0,3,8] ; [5,4,0,3,8] ; [3,4,0,5,8] ; [4,3,0,5,8] ; [0,3,4,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
base_conversion | base_conversion:repeated-division | n=245,base=16 | DIV:245/16=15,r:5 ; DIV:15/16=0,r:15 ; OUT:F5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=0 | 2x+0=0 ; x+0=0 ; x=0-0 ; x=0 |
list_summation | list_summation:pairwise | 9, 9, 7, 0 | 9+9=18 ; 7+0=7 ; 18+7=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 467+925 | d2:7+5+0=12→w2,c1 ; d1:6+2+1=9→w9,c0 ; d0:4+9+0=13→w3,c1 ; sum=1392 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-96 | 8x-32=-96 ; x+-4=-12 ; x=-12--4 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 8, 0, 7 | [1,5,0,8,7] ; [0,1,5,8,7] ; [0,1,5,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 4, 9, 5, 7 | [2,4,5,9,7] ; [2,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=190,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:14 ; OUT:BE |
base_conversion | base_conversion:via-binary | n=205,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:315 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 8, 4, 5 | [1,7,8,4,5] ; [1,4,8,7,5] ; [1,4,5,7,8] ; [1,4,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 1, 8, 2 | [4,7,1,8,2] ; [1,4,7,8,2] ; [1,2,4,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 592+549 | p100:500+500=1000 ; p10:90+40=130 ; p1:2+9=11 ; sum=1000+130+11=1141 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
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:pairwise | 9, 3, 5, 7 | 9+3=12 ; 5+7=12 ; 12+12=24 |
list_summation | list_summation:left-to-right | 0, 6, 4, 2 | 0+6=6 ; 6+4=10 ; 10+2=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-10=0 | 2x-10=0 ; 2x=10 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 250+918 | round:250+918=1168 ; adjust:1168-0=1168 ; sum=1168 |
list_summation | list_summation:right-to-left | 0, 7, 3, 7 | 3+7=10 ; 7+10=17 ; 0+17=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 1, 7, 8, 0 | 1+7=8 ; 8+0=8 ; 8+8=16 |
base_conversion | base_conversion:repeated-division | n=191,base=4 | DIV:191/4=47,r:3 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2333 |
multidigit_addition | multidigit_addition:right-to-left-carry | 967+863 | d2:7+3+0=10→w0,c1 ; d1:6+6+1=13→w3,c1 ; d0:9+8+1=18→w8,c1 ; sum=1830 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=36 | 4x+12=36 ; x=(36-12)/4 ; x=24/4 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=14 | 7x-49=14 ; 7x=63 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 981+303 | p100:900+300=1200 ; p10:80+0=80 ; p1:1+3=4 ; sum=1200+80+4=1284 |
base_conversion | base_conversion:via-binary | n=178,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2302 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 5, 1, 6 | [0,3,1,5,6] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
list_summation | list_summation:right-to-left | 4, 5, 4, 8 | 4+8=12 ; 5+12=17 ; 4+17=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 0, 8, 7 | [3,9,0,8,7] ; [0,3,8,9,7] ; [0,3,7,8,9] |
base_conversion | base_conversion:decomposition | n=123,base=16 | TERM:7*16^1=112 ; TERM:11*16^0=11 ; OUT:7B |
base_conversion | base_conversion:via-binary | n=26,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:10 ; OUT:1A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,3) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=3 | 3x+24=3 ; x+8=1 ; x=1-8 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 3, 4, 6 | [3,9,7,4,6] ; [3,4,7,9,6] ; [3,4,6,9,7] ; [3,4,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-66 | 6x-42=-66 ; 6x=-24 ; x=-4 |
list_summation | list_summation:pairwise | 6, 1, 6, 3 | 6+1=7 ; 6+3=9 ; 7+9=16 |
list_summation | list_summation:left-to-right | 8, 1, 7, 2 | 8+1=9 ; 9+7=16 ; 16+2=18 |
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 |
multidigit_addition | multidigit_addition:right-to-left-carry | 830+842 | d2:0+2+0=2→w2,c0 ; d1:3+4+0=7→w7,c0 ; d0:8+8+0=16→w6,c1 ; sum=1672 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-18 | 9x-18=-18 ; x=(-18--18)/9 ; x=0/9 ; x=0 |
base_conversion | base_conversion:decomposition | n=15,base=8 | TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=64 | 8x+32=64 ; 8x=32 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 376+902 | round:380+902=1282 ; adjust:1282-4=1278 ; sum=1278 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,3) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
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:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-55 | 5x-35=-55 ; x+-7=-11 ; x=-11--7 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 145+107 | p100:100+100=200 ; p10:40+0=40 ; p1:5+7=12 ; sum=200+40+12=252 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
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:left-to-right-partials | 124+712 | p100:100+700=800 ; p10:20+10=30 ; p1:4+2=6 ; sum=800+30+6=836 |
list_summation | list_summation:pairwise | 1, 7, 4, 0 | 1+7=8 ; 4+0=4 ; 8+4=12 |
list_summation | list_summation:left-to-right | 0, 9, 2, 8 | 0+9=9 ; 9+2=11 ; 11+8=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 9, 0, 1 | [9,5,6,0,1] ; [1,5,6,0,9] ; [6,5,1,0,9] ; [0,5,1,6,9] ; [5,0,1,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 3, 9, 4 | [6,9,3,7,4] ; [9,6,3,7,4] ; [9,7,3,6,4] ; [4,7,3,6,9] ; [7,4,3,6,9] ; [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] |
list_summation | list_summation:pairwise | 6, 0, 0, 5 | 6+0=6 ; 0+5=5 ; 6+5=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 0, 2, 6 | [5,6,0,2,3] ; [6,5,0,2,3] ; [3,5,0,2,6] ; [5,3,0,2,6] ; [2,3,0,5,6] ; [3,2,0,5,6] ; [0,2,3,5,6] ; [2,0,3,5,6] ; [0,2,3,5,6] |
base_conversion | base_conversion:via-binary | n=80,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 1, 6, 5 | [2,7,1,6,5] ; [1,2,7,6,5] ; [1,2,6,7,5] ; [1,2,5,6,7] |
base_conversion | base_conversion:repeated-division | n=253,base=8 | DIV:253/8=31,r:5 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:375 |
list_summation | list_summation:right-to-left | 9, 2, 4, 4 | 4+4=8 ; 2+8=10 ; 9+10=19 |
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