task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 789+778 | round:790+778=1568 ; adjust:1568-1=1567 ; sum=1567 |
multidigit_addition | multidigit_addition:right-to-left-carry | 565+305 | d2:5+5+0=10→w0,c1 ; d1:6+0+1=7→w7,c0 ; d0:5+3+0=8→w8,c0 ; sum=870 |
list_summation | list_summation:pairwise | 9, 4, 7, 3 | 9+4=13 ; 7+3=10 ; 13+10=23 |
base_conversion | base_conversion:decomposition | n=66,base=16 | TERM:4*16^1=64 ; TERM:2*16^0=2 ; OUT:42 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=-45 | 5x-25=-45 ; x+-5=-9 ; x=-9--5 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 7, 9, 5 | [1,5,6,7,9] |
list_summation | list_summation:pairwise | 0, 1, 2, 1 | 0+1=1 ; 2+1=3 ; 1+3=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 558+140 | p100:500+100=600 ; p10:50+40=90 ; p1:8+0=8 ; sum=600+90+8=698 |
base_conversion | base_conversion:via-binary | n=108,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:12 ; OUT:6C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,4) | R:(0,1) ; D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
base_conversion | base_conversion:repeated-division | n=57,base=4 | DIV:57/4=14,r:1 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:321 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 2, 0, 5 | [6,5,2,0,4] ; [4,5,2,0,6] ; [5,4,2,0,6] ; [0,4,2,5,6] ; [4,0,2,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=40 | 8x+0=40 ; x+0=5 ; x=5-0 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=30 | 5x+15=30 ; 5x=15 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 0, 8, 1 | [3,4,0,8,1] ; [3,0,4,8,1] ; [3,0,4,1,8] ; [0,3,4,1,8] ; [0,3,1,4,8] ; [0,1,3,4,8] |
base_conversion | base_conversion:via-binary | n=65,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101 |
base_conversion | base_conversion:repeated-division | n=60,base=8 | DIV:60/8=7,r:4 ; DIV:7/8=0,r:7 ; OUT:74 |
list_summation | list_summation:left-to-right | 6, 9, 5, 4 | 6+9=15 ; 15+5=20 ; 20+4=24 |
base_conversion | base_conversion:via-binary | n=47,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:15 ; OUT:2F |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=14 | 7x+56=14 ; x=(14-56)/7 ; x=-42/7 ; x=-6 |
list_summation | list_summation:left-to-right | 7, 6, 9, 5 | 7+6=13 ; 13+9=22 ; 22+5=27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 228+923 | d2:8+3+0=11→w1,c1 ; d1:2+2+1=5→w5,c0 ; d0:2+9+0=11→w1,c1 ; sum=1151 |
base_conversion | base_conversion:via-binary | n=23,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=51,base=4 | DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:303 |
base_conversion | base_conversion:via-binary | n=195,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11000011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=9 | 3x+0=9 ; x+0=3 ; x=3-0 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 342+130 | d2:2+0+0=2→w2,c0 ; d1:4+3+0=7→w7,c0 ; d0:3+1+0=4→w4,c0 ; sum=472 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 8, 3, 4, 4 | 4+4=8 ; 3+8=11 ; 8+11=19 |
base_conversion | base_conversion:decomposition | n=107,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:3*8^0=3 ; OUT:153 |
base_conversion | base_conversion:via-binary | n=241,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3301 |
list_summation | list_summation:pairwise | 2, 7, 6, 9 | 2+7=9 ; 6+9=15 ; 9+15=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=27,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:123 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=20 | 2x+10=20 ; x=(20-10)/2 ; x=10/2 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 9, 3, 4 | [9,6,8,3,4] ; [4,6,8,3,9] ; [8,6,4,3,9] ; [3,6,4,8,9] ; [6,3,4,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 467+947 | round:470+947=1417 ; adjust:1417-3=1414 ; sum=1414 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-36 | 6x-54=-36 ; x=(-36--54)/6 ; x=18/6 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 415+729 | d2:5+9+0=14→w4,c1 ; d1:1+2+1=4→w4,c0 ; d0:4+7+0=11→w1,c1 ; sum=1144 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=48 | 6x-6=48 ; x+-1=8 ; x=8--1 ; x=9 |
list_summation | list_summation:left-to-right | 4, 7, 6, 8 | 4+7=11 ; 11+6=17 ; 17+8=25 |
list_summation | list_summation:pairwise | 9, 8, 4, 5 | 9+8=17 ; 4+5=9 ; 17+9=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 817+518 | d2:7+8+0=15→w5,c1 ; d1:1+1+1=3→w3,c0 ; d0:8+5+0=13→w3,c1 ; sum=1335 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 413+203 | round:420+203=623 ; adjust:623-7=616 ; sum=616 |
base_conversion | base_conversion:via-binary | n=4,base=4 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:0 ; OUT:10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 237+433 | d2:7+3+0=10→w0,c1 ; d1:3+3+1=7→w7,c0 ; d0:2+4+0=6→w6,c0 ; sum=670 |
base_conversion | base_conversion:repeated-division | n=123,base=16 | DIV:123/16=7,r:11 ; DIV:7/16=0,r:7 ; OUT:7B |
base_conversion | base_conversion:via-binary | n=81,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1010001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 875+513 | round:880+513=1393 ; adjust:1393-5=1388 ; sum=1388 |
list_summation | list_summation:right-to-left | 8, 5, 3, 6 | 3+6=9 ; 5+9=14 ; 8+14=22 |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 9, 6, 4 | [0,7,9,6,4] ; [0,7,6,9,4] ; [0,7,6,4,9] ; [0,6,7,4,9] ; [0,6,4,7,9] ; [0,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=32 | 8x+72=32 ; x=(32-72)/8 ; x=-40/8 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 3, 7, 0, 4 | 3+7=10 ; 10+0=10 ; 10+4=14 |
list_summation | list_summation:left-to-right | 4, 1, 5, 2 | 4+1=5 ; 5+5=10 ; 10+2=12 |
base_conversion | base_conversion:repeated-division | n=204,base=8 | DIV:204/8=25,r:4 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:314 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 3, 9, 7 | [2,3,5,9,7] ; [2,3,5,7,9] |
list_summation | list_summation:pairwise | 7, 8, 2, 4 | 7+8=15 ; 2+4=6 ; 15+6=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 954+679 | p100:900+600=1500 ; p10:50+70=120 ; p1:4+9=13 ; sum=1500+120+13=1633 |
list_summation | list_summation:right-to-left | 2, 7, 2, 0 | 2+0=2 ; 7+2=9 ; 2+9=11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 9, 5, 4 | [1,7,5,9,4] ; [1,7,5,4,9] ; [1,5,7,4,9] ; [1,5,4,7,9] ; [1,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=54 | 6x+30=54 ; x+5=9 ; x=9-5 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 0, 8, 4 | [1,5,0,8,4] ; [0,1,5,8,4] ; [0,1,5,8,4] ; [0,1,4,5,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=186,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:2 ; OUT:272 |
multidigit_addition | multidigit_addition:right-to-left-carry | 182+983 | d2:2+3+0=5→w5,c0 ; d1:8+8+0=16→w6,c1 ; d0:1+9+1=11→w1,c1 ; sum=1165 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-35 | 7x-56=-35 ; x=(-35--56)/7 ; x=21/7 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 400+944 | round:400+944=1344 ; adjust:1344-0=1344 ; sum=1344 |
list_summation | list_summation:left-to-right | 8, 7, 3, 5 | 8+7=15 ; 15+3=18 ; 18+5=23 |
base_conversion | base_conversion:via-binary | n=55,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:313 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 3, 7, 6 | [2,4,3,7,6] ; [2,3,4,7,6] ; [2,3,4,7,6] ; [2,3,4,6,7] |
list_summation | list_summation:pairwise | 7, 8, 1, 1 | 7+8=15 ; 1+1=2 ; 15+2=17 |
base_conversion | base_conversion:repeated-division | n=93,base=2 | DIV:93/2=46,r:1 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011101 |
multidigit_addition | multidigit_addition:left-to-right-partials | 952+876 | p100:900+800=1700 ; p10:50+70=120 ; p1:2+6=8 ; sum=1700+120+8=1828 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; R:(0,5) ; D:(1,5) |
list_summation | list_summation:right-to-left | 3, 5, 9, 3 | 9+3=12 ; 5+12=17 ; 3+17=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=24 | 4x+16=24 ; 4x=8 ; x=2 |
base_conversion | base_conversion:repeated-division | n=61,base=4 | DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:331 |
list_summation | list_summation:left-to-right | 4, 6, 2, 0 | 4+6=10 ; 10+2=12 ; 12+0=12 |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+395 | d2:3+5+0=8→w8,c0 ; d1:0+9+0=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1098 |
list_summation | list_summation:left-to-right | 5, 2, 5, 8 | 5+2=7 ; 7+5=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=72 | 8x+56=72 ; x=(72-56)/8 ; x=16/8 ; x=2 |
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:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 3, 0, 7 | [1,7,3,0,5] ; [7,1,3,0,5] ; [7,5,3,0,1] ; [1,5,3,0,7] ; [5,1,3,0,7] ; [0,1,3,5,7] ; [3,1,0,5,7] ; [0,1,3,5,7] ; [1,0,3,5,7] ; [0,1,3,5,7] |
base_conversion | base_conversion:via-binary | n=220,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 0, 3, 7, 2 | [0,5,3,7,2] ; [0,3,5,7,2] ; [0,2,3,5,7] |
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