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=(0,1) ; G=(3,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:left-to-right | 3, 7, 1, 9 | 3+7=10 ; 10+1=11 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 5, 1, 4 | [0,5,7,1,4] ; [0,5,1,7,4] ; [0,5,1,4,7] ; [0,1,5,4,7] ; [0,1,4,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 7, 5, 8 | [4,6,7,5,8] ; [4,5,7,6,8] ; [4,5,6,7,8] ; [4,5,6,7,8] |
list_summation | list_summation:right-to-left | 3, 5, 8, 4 | 8+4=12 ; 5+12=17 ; 3+17=20 |
base_conversion | base_conversion:repeated-division | n=58,base=8 | DIV:58/8=7,r:2 ; DIV:7/8=0,r:7 ; OUT:72 |
multidigit_addition | multidigit_addition:rounding-decomposition | 762+489 | round:770+489=1259 ; adjust:1259-8=1251 ; sum=1251 |
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) |
list_summation | list_summation:right-to-left | 2, 4, 6, 8 | 6+8=14 ; 4+14=18 ; 2+18=20 |
list_summation | list_summation:pairwise | 3, 2, 9, 8 | 3+2=5 ; 9+8=17 ; 5+17=22 |
list_summation | list_summation:pairwise | 0, 3, 1, 9 | 0+3=3 ; 1+9=10 ; 3+10=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 5, 2, 1 | [1,4,5,2,8] ; [5,4,1,2,8] ; [2,4,1,5,8] ; [4,2,1,5,8] ; [1,2,4,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=16 | 4x+20=16 ; 4x=-4 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 2, 7, 9 | [0,2,8,7,9] ; [0,2,7,8,9] |
base_conversion | base_conversion:via-binary | n=89,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:9 ; OUT:59 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 3, 4, 9 | [0,3,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 4, 0, 8 | [1,4,9,0,8] ; [1,4,0,9,8] ; [1,4,0,8,9] ; [1,0,4,8,9] ; [0,1,4,8,9] |
list_summation | list_summation:right-to-left | 4, 1, 7, 2 | 7+2=9 ; 1+9=10 ; 4+10=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 6, 0, 4 | [8,4,6,0,1] ; [1,4,6,0,8] ; [6,4,1,0,8] ; [0,4,1,6,8] ; [4,0,1,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 518+241 | d2:8+1+0=9→w9,c0 ; d1:1+4+0=5→w5,c0 ; d0:5+2+0=7→w7,c0 ; sum=759 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=14 | 7x+28=14 ; x=(14-28)/7 ; x=-14/7 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=61,base=2 | DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 0, 2, 5 | [7,9,0,2,5] ; [0,7,9,2,5] ; [0,2,7,9,5] ; [0,2,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 2, 7, 9 | [2,4,3,7,9] ; [2,3,4,7,9] ; [2,3,4,7,9] ; [2,3,4,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 178+392 | p100:100+300=400 ; p10:70+90=160 ; p1:8+2=10 ; sum=400+160+10=570 |
base_conversion | base_conversion:repeated-division | n=6,base=8 | DIV:6/8=0,r:6 ; OUT:6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 7, 3, 1 | [0,2,3,7,1] ; [0,2,3,1,7] ; [0,2,1,3,7] ; [0,1,2,3,7] |
list_summation | list_summation:left-to-right | 3, 7, 8, 5 | 3+7=10 ; 10+8=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 869+971 | p100:800+900=1700 ; p10:60+70=130 ; p1:9+1=10 ; sum=1700+130+10=1840 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 2, 9, 1 | [5,2,7,9,1] ; [5,2,7,1,9] ; [2,5,7,1,9] ; [2,5,1,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-54=-96 | 6x-54=-96 ; x+-9=-16 ; x=-16--9 ; x=-7 |
list_summation | list_summation:left-to-right | 4, 5, 4, 1 | 4+5=9 ; 9+4=13 ; 13+1=14 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 6, 0, 8 | [3,7,6,0,8] ; [3,7,0,6,8] ; [0,3,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 5, 3, 0 | [8,9,5,3,0] ; [5,8,9,3,0] ; [3,5,8,9,0] ; [0,3,5,8,9] |
base_conversion | base_conversion:repeated-division | n=206,base=2 | DIV:206/2=103,r:0 ; DIV:103/2=51,r:1 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001110 |
base_conversion | base_conversion:repeated-division | n=228,base=2 | DIV:228/2=114,r:0 ; DIV:114/2=57,r:0 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100100 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 7, 5, 6 | [2,6,7,5,0] ; [7,6,2,5,0] ; [0,6,2,5,7] ; [6,0,2,5,7] ; [6,5,2,0,7] ; [0,5,2,6,7] ; [5,0,2,6,7] ; [2,0,5,6,7] ; [0,2,5,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 2, 0, 8 | [3,9,0,2,8] ; [0,2,3,9,8] ; [0,2,3,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=2 | 2x-6=2 ; 2x=8 ; x=4 |
base_conversion | base_conversion:via-binary | n=80,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:120 |
base_conversion | base_conversion:repeated-division | n=153,base=8 | DIV:153/8=19,r:1 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:231 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=49,base=8 | TERM:6*8^1=48 ; TERM:1*8^0=1 ; OUT:61 |
base_conversion | base_conversion:decomposition | n=32,base=8 | TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:40 |
base_conversion | base_conversion:repeated-division | n=110,base=2 | DIV:110/2=55,r:0 ; DIV:55/2=27,r:1 ; 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:1101110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 189+883 | round:190+883=1073 ; adjust:1073-1=1072 ; sum=1072 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=-28 | 7x+21=-28 ; x+3=-4 ; x=-4-3 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 3, 6, 7 | [4,9,3,6,7] ; [3,4,9,6,7] ; [3,4,6,9,7] ; [3,4,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=29,base=4 | DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:131 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 3, 5, 0 | [9,5,3,1,0] ; [0,5,3,1,9] ; [5,0,3,1,9] ; [5,1,3,0,9] ; [0,1,3,5,9] ; [3,1,0,5,9] ; [0,1,3,5,9] ; [1,0,3,5,9] ; [0,1,3,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 497+280 | p100:400+200=600 ; p10:90+80=170 ; p1:7+0=7 ; sum=600+170+7=777 |
base_conversion | base_conversion:repeated-division | n=42,base=2 | DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101010 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=25,base=2 | DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001 |
list_summation | list_summation:left-to-right | 8, 1, 2, 0 | 8+1=9 ; 9+2=11 ; 11+0=11 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=65 | 5x+30=65 ; x+6=13 ; x=13-6 ; x=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 2, 9, 4 | [2,3,7,9,4] ; [2,3,4,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=7 | 7x-7=7 ; x+-1=1 ; x=1--1 ; x=2 |
base_conversion | base_conversion:repeated-division | n=37,base=16 | DIV:37/16=2,r:5 ; DIV:2/16=0,r:2 ; OUT:25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=185,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:1 ; OUT:271 |
base_conversion | base_conversion:repeated-division | n=178,base=4 | DIV:178/4=44,r:2 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2302 |
list_summation | list_summation:pairwise | 5, 4, 7, 1 | 5+4=9 ; 7+1=8 ; 9+8=17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 0, 8, 7 | [1,0,9,8,7] ; [1,0,8,9,7] ; [1,0,8,7,9] ; [0,1,8,7,9] ; [0,1,7,8,9] |
list_summation | list_summation:right-to-left | 3, 8, 6, 0 | 6+0=6 ; 8+6=14 ; 3+14=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 2, 7, 4 | [0,6,2,7,4] ; [0,2,6,7,4] ; [0,2,4,7,6] ; [0,2,4,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=-60 | 6x-12=-60 ; x+-2=-10 ; x=-10--2 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 8, 3, 9 | [5,7,8,3,9] ; [5,7,8,3,9] ; [3,5,7,8,9] ; [3,5,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 2, 5, 6 | [1,3,2,5,6] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 4, 2, 0 | [8,5,4,2,0] ; [0,5,4,2,8] ; [5,0,4,2,8] ; [5,2,4,0,8] ; [0,2,4,5,8] ; [4,2,0,5,8] ; [0,2,4,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
list_summation | list_summation:left-to-right | 9, 6, 8, 9 | 9+6=15 ; 15+8=23 ; 23+9=32 |
base_conversion | base_conversion:via-binary | n=247,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11110111 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:via-binary | n=26,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:10 ; OUT:1A |
base_conversion | base_conversion:decomposition | n=225,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:341 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 9, 8, 4 | [2,6,8,9,4] ; [2,6,8,4,9] ; [2,6,4,8,9] ; [2,4,6,8,9] |
list_summation | list_summation:right-to-left | 7, 0, 2, 6 | 2+6=8 ; 0+8=8 ; 7+8=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 9, 3, 4, 8 | [9,5,3,4,8] ; [9,8,3,4,5] ; [5,8,3,4,9] ; [8,5,3,4,9] ; [4,5,3,8,9] ; [5,4,3,8,9] ; [3,4,5,8,9] ; [4,3,5,8,9] ; [3,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 793+163 | round:800+163=963 ; adjust:963-7=956 ; sum=956 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 6, 7, 0 | [3,7,6,4,0] ; [7,3,6,4,0] ; [7,4,6,3,0] ; [0,4,6,3,7] ; [6,4,0,3,7] ; [3,4,0,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=7 | 7x-28=7 ; 7x=35 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,4) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=35 | 5x+40=35 ; x+8=7 ; x=7-8 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=155,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:11 ; OUT:9B |
list_summation | list_summation:left-to-right | 0, 8, 3, 7 | 0+8=8 ; 8+3=11 ; 11+7=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=-7 | 7x+35=-7 ; x=(-7-35)/7 ; x=-42/7 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 845+426 | round:850+426=1276 ; adjust:1276-5=1271 ; sum=1271 |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+919 | round:330+919=1249 ; adjust:1249-5=1244 ; sum=1244 |
multidigit_addition | multidigit_addition:rounding-decomposition | 357+637 | round:360+637=997 ; adjust:997-3=994 ; sum=994 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=217,base=4 | DIV:217/4=54,r:1 ; DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3121 |
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