task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 547+120 | d2:7+0+0=7→w7,c0 ; d1:4+2+0=6→w6,c0 ; d0:5+1+0=6→w6,c0 ; sum=667 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 1, 3, 5 | [6,0,1,3,5] ; [6,5,1,3,0] ; [0,5,1,3,6] ; [5,0,1,3,6] ; [5,3,1,0,6] ; [0,3,1,5,6] ; [3,0,1,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 705+849 | round:710+849=1559 ; adjust:1559-5=1554 ; sum=1554 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 6, 5, 8, 4 | 6+5=11 ; 8+4=12 ; 11+12=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 4, 1, 6 | [2,7,4,1,6] ; [2,7,1,4,6] ; [1,2,4,7,6] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 4, 0, 5 | [9,8,4,0,5] ; [5,8,4,0,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=255,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:7 ; OUT:377 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=8 | 8x-56=8 ; 8x=64 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 2, 1, 4 | [6,8,1,2,4] ; [1,2,6,8,4] ; [1,2,4,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 6, 9, 2 | [2,5,6,9,3] ; [2,3,6,9,5] ; [2,3,5,9,6] ; [2,3,5,6,9] |
list_summation | list_summation:right-to-left | 8, 8, 4, 8 | 4+8=12 ; 8+12=20 ; 8+20=28 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 5, 0, 1 | [0,3,5,8,1] ; [0,1,5,8,3] ; [0,1,3,8,5] ; [0,1,3,5,8] |
list_summation | list_summation:right-to-left | 1, 9, 0, 5 | 0+5=5 ; 9+5=14 ; 1+14=15 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 6, 1, 0 | [3,4,6,1,0] ; [3,4,6,1,0] ; [1,3,4,6,0] ; [0,1,3,4,6] |
list_summation | list_summation:right-to-left | 4, 2, 9, 7 | 9+7=16 ; 2+16=18 ; 4+18=22 |
list_summation | list_summation:right-to-left | 0, 0, 2, 7 | 2+7=9 ; 0+9=9 ; 0+9=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 8, 7, 0 | [4,5,7,8,0] ; [4,5,7,0,8] ; [4,5,0,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8] |
base_conversion | base_conversion:repeated-division | n=49,base=16 | DIV:49/16=3,r:1 ; DIV:3/16=0,r:3 ; OUT:31 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-40 | 8x-56=-40 ; 8x=16 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=127,base=2 | DIV:127/2=63,r:1 ; DIV:63/2=31,r:1 ; DIV:31/2=15,r:1 ; 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:1111111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 998+744 | round:1000+744=1744 ; adjust:1744-2=1742 ; sum=1742 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 8, 4, 7 | [3,9,8,4,7] ; [3,8,9,4,7] ; [3,4,8,9,7] ; [3,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=244,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3310 |
list_summation | list_summation:left-to-right | 1, 1, 9, 1 | 1+1=2 ; 2+9=11 ; 11+1=12 |
list_summation | list_summation:left-to-right | 6, 3, 6, 0 | 6+3=9 ; 9+6=15 ; 15+0=15 |
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=72,base=16 | TERM:4*16^1=64 ; TERM:8*16^0=8 ; OUT:48 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,5) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,4) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 7, 0, 1 | [0,5,7,8,1] ; [0,1,7,8,5] ; [0,1,5,8,7] ; [0,1,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 2, 6, 8 | [3,9,2,6,8] ; [2,3,9,6,8] ; [2,3,6,9,8] ; [2,3,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 125+505 | round:130+505=635 ; adjust:635-5=630 ; sum=630 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 5, 2, 8 | [3,4,5,2,8] ; [3,4,2,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 1, 6, 8, 3 | 1+6=7 ; 8+3=11 ; 7+11=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 438+360 | round:440+360=800 ; adjust:800-2=798 ; sum=798 |
list_summation | list_summation:pairwise | 6, 7, 4, 7 | 6+7=13 ; 4+7=11 ; 13+11=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 1, 0, 4 | [3,7,0,1,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=6 | 6x+18=6 ; x=(6-18)/6 ; x=-12/6 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 868+229 | round:870+229=1099 ; adjust:1099-2=1097 ; sum=1097 |
list_summation | list_summation:left-to-right | 5, 1, 1, 9 | 5+1=6 ; 6+1=7 ; 7+9=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 190+639 | round:190+639=829 ; adjust:829-0=829 ; sum=829 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=12 | 6x+12=12 ; x=(12-12)/6 ; x=0/6 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 0, 3, 4 | [2,8,0,3,4] ; [0,2,8,3,4] ; [0,2,3,8,4] ; [0,2,3,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 848+213 | p100:800+200=1000 ; p10:40+10=50 ; p1:8+3=11 ; sum=1000+50+11=1061 |
list_summation | list_summation:right-to-left | 3, 4, 6, 0 | 6+0=6 ; 4+6=10 ; 3+10=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-28 | 4x-32=-28 ; x=(-28--32)/4 ; x=4/4 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-18 | 3x-21=-18 ; x+-7=-6 ; x=-6--7 ; x=1 |
list_summation | list_summation:left-to-right | 8, 9, 9, 4 | 8+9=17 ; 17+9=26 ; 26+4=30 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-91 | 7x-28=-91 ; x+-4=-13 ; x=-13--4 ; x=-9 |
list_summation | list_summation:pairwise | 6, 3, 5, 5 | 6+3=9 ; 5+5=10 ; 9+10=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 7, 4, 0 | [5,8,4,7,0] ; [4,5,7,8,0] ; [0,4,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 366+482 | round:370+482=852 ; adjust:852-4=848 ; sum=848 |
base_conversion | base_conversion:repeated-division | n=12,base=2 | 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:1100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=63 | 9x+45=63 ; 9x=18 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 0, 6, 4 | [9,6,0,5,4] ; [4,6,0,5,9] ; [6,4,0,5,9] ; [6,5,0,4,9] ; [4,5,0,6,9] ; [5,4,0,6,9] ; [0,4,5,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9] |
base_conversion | base_conversion:repeated-division | n=165,base=16 | DIV:165/16=10,r:5 ; DIV:10/16=0,r:10 ; OUT:A5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=10 | 2x+0=10 ; 2x=10 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 459+305 | d2:9+5+0=14→w4,c1 ; d1:5+0+1=6→w6,c0 ; d0:4+3+0=7→w7,c0 ; sum=764 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-9 | 3x-3=-9 ; x+-1=-3 ; x=-3--1 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 5, 6, 1 | [4,5,6,8,1] ; [1,4,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=49 | 7x+56=49 ; 7x=-7 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 1, 3, 4 | [9,4,1,3,0] ; [0,4,1,3,9] ; [4,0,1,3,9] ; [4,3,1,0,9] ; [0,3,1,4,9] ; [3,0,1,4,9] ; [1,0,3,4,9] ; [0,1,3,4,9] |
base_conversion | base_conversion:decomposition | n=47,base=2 | 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:1*2^0=1 ; OUT:101111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 264+828 | p100:200+800=1000 ; p10:60+20=80 ; p1:4+8=12 ; sum=1000+80+12=1092 |
base_conversion | base_conversion:via-binary | n=44,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:230 |
base_conversion | base_conversion:repeated-division | n=134,base=4 | DIV:134/4=33,r:2 ; DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2012 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 5, 6, 2 | [1,4,5,2,6] ; [1,4,2,5,6] ; [1,2,4,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 437+499 | p100:400+400=800 ; p10:30+90=120 ; p1:7+9=16 ; sum=800+120+16=936 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=42 | 3x+24=42 ; x=(42-24)/3 ; x=18/3 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 9, 3, 6, 4 | 6+4=10 ; 3+10=13 ; 9+13=22 |
base_conversion | base_conversion:decomposition | n=239,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:1*2^0=1 ; OUT:11101111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=90 | 6x+42=90 ; x+7=15 ; x=15-7 ; x=8 |
list_summation | list_summation:left-to-right | 2, 9, 2, 0 | 2+9=11 ; 11+2=13 ; 13+0=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 811+642 | round:820+642=1462 ; adjust:1462-9=1453 ; sum=1453 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-16 | 4x+12=-16 ; x=(-16-12)/4 ; x=-28/4 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 730+161 | round:730+161=891 ; adjust:891-0=891 ; sum=891 |
list_summation | list_summation:pairwise | 5, 7, 6, 5 | 5+7=12 ; 6+5=11 ; 12+11=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 1, 9, 6, 1 | 1+9=10 ; 6+1=7 ; 10+7=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 209+304 | d2:9+4+0=13→w3,c1 ; d1:0+0+1=1→w1,c0 ; d0:2+3+0=5→w5,c0 ; sum=513 |
base_conversion | base_conversion:repeated-division | n=8,base=4 | DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 204+528 | round:210+528=738 ; adjust:738-6=732 ; sum=732 |
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