task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,5) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 7, 5, 3, 4 | 3+4=7 ; 5+7=12 ; 7+12=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 921+601 | p100:900+600=1500 ; p10:20+0=20 ; p1:1+1=2 ; sum=1500+20+2=1522 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
base_conversion | base_conversion:via-binary | n=23,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:10111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 481+486 | round:490+486=976 ; adjust:976-9=967 ; sum=967 |
multidigit_addition | multidigit_addition:rounding-decomposition | 719+614 | round:720+614=1334 ; adjust:1334-1=1333 ; sum=1333 |
base_conversion | base_conversion:via-binary | n=26,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:10 ; OUT:1A |
multidigit_addition | multidigit_addition:rounding-decomposition | 588+782 | round:590+782=1372 ; adjust:1372-2=1370 ; sum=1370 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 8, 9, 5 | [1,3,8,9,5] ; [1,3,8,5,9] ; [1,3,5,8,9] |
base_conversion | base_conversion:repeated-division | n=176,base=8 | DIV:176/8=22,r:0 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:260 |
multidigit_addition | multidigit_addition:left-to-right-partials | 140+500 | p100:100+500=600 ; p10:40+0=40 ; p1:0+0=0 ; sum=600+40+0=640 |
base_conversion | base_conversion:via-binary | n=219,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:333 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 1, 4, 8 | [0,1,5,4,8] ; [0,1,4,5,8] |
base_conversion | base_conversion:via-binary | n=59,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:11 ; OUT:3B |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+156 | d2:5+6+0=11→w1,c1 ; d1:6+5+1=12→w2,c1 ; d0:2+1+1=4→w4,c0 ; sum=421 |
base_conversion | base_conversion:via-binary | n=125,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:175 |
list_summation | list_summation:pairwise | 6, 9, 6, 7 | 6+9=15 ; 6+7=13 ; 15+13=28 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 5, 7, 2, 3 | [5,6,7,2,3] ; [5,6,7,2,3] ; [2,5,6,7,3] ; [2,3,5,6,7] |
list_summation | list_summation:left-to-right | 4, 8, 6, 4 | 4+8=12 ; 12+6=18 ; 18+4=22 |
base_conversion | base_conversion:repeated-division | n=100,base=8 | DIV:100/8=12,r:4 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:144 |
list_summation | list_summation:pairwise | 5, 0, 6, 0 | 5+0=5 ; 6+0=6 ; 5+6=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=0 | 2x+14=0 ; 2x=-14 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=35 | 5x+25=35 ; 5x=10 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(2,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 970+580 | round:970+580=1550 ; adjust:1550-0=1550 ; sum=1550 |
list_summation | list_summation:left-to-right | 3, 6, 7, 1 | 3+6=9 ; 9+7=16 ; 16+1=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 3, 6, 1 | [0,5,3,6,1] ; [0,3,5,6,1] ; [0,3,5,6,1] ; [0,1,3,5,6] |
list_summation | list_summation:left-to-right | 0, 4, 6, 6 | 0+4=4 ; 4+6=10 ; 10+6=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 6, 8, 9 | [2,3,6,8,9] |
base_conversion | base_conversion:repeated-division | n=115,base=16 | DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73 |
list_summation | list_summation:right-to-left | 0, 2, 7, 0 | 7+0=7 ; 2+7=9 ; 0+9=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 2, 4, 9 | [1,5,2,4,9] ; [1,2,5,4,9] ; [1,2,4,5,9] |
list_summation | list_summation:right-to-left | 9, 7, 6, 6 | 6+6=12 ; 7+12=19 ; 9+19=28 |
base_conversion | base_conversion:via-binary | n=173,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:5 ; OUT:255 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 1, 9, 7 | [6,9,1,5,7] ; [9,6,1,5,7] ; [9,7,1,5,6] ; [6,7,1,5,9] ; [7,6,1,5,9] ; [5,6,1,7,9] ; [6,5,1,7,9] ; [1,5,6,7,9] ; [5,1,6,7,9] ; [1,5,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 0, 7, 1 | [0,2,7,9,1] ; [0,1,2,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 3, 7, 1 | [5,8,3,7,1] ; [3,5,7,8,1] ; [1,3,5,7,8] |
list_summation | list_summation:left-to-right | 2, 2, 7, 6 | 2+2=4 ; 4+7=11 ; 11+6=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 6, 8, 7 | [5,9,6,8,7] ; [5,6,8,9,7] ; [5,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 275+369 | p100:200+300=500 ; p10:70+60=130 ; p1:5+9=14 ; sum=500+130+14=644 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:pairwise | 8, 2, 5, 2 | 8+2=10 ; 5+2=7 ; 10+7=17 |
list_summation | list_summation:right-to-left | 6, 0, 6, 6 | 6+6=12 ; 0+12=12 ; 6+12=18 |
list_summation | list_summation:left-to-right | 0, 5, 8, 4 | 0+5=5 ; 5+8=13 ; 13+4=17 |
base_conversion | base_conversion:via-binary | n=29,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:13 ; OUT:1D |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=80 | 8x+72=80 ; x+9=10 ; x=10-9 ; x=1 |
base_conversion | base_conversion:decomposition | n=53,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:110101 |
list_summation | list_summation:pairwise | 4, 1, 5, 0 | 4+1=5 ; 5+0=5 ; 5+5=10 |
list_summation | list_summation:right-to-left | 2, 9, 7, 1 | 7+1=8 ; 9+8=17 ; 2+17=19 |
base_conversion | base_conversion:repeated-division | n=25,base=16 | DIV:25/16=1,r:9 ; DIV:1/16=0,r:1 ; OUT:19 |
list_summation | list_summation:pairwise | 9, 7, 0, 0 | 9+7=16 ; 0+0=0 ; 16+0=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 239+156 | p100:200+100=300 ; p10:30+50=80 ; p1:9+6=15 ; sum=300+80+15=395 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 3, 6, 0 | [0,5,3,6,7] ; [0,3,5,6,7] ; [0,3,5,6,7] ; [0,3,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 459+304 | d2:9+4+0=13→w3,c1 ; d1:5+0+1=6→w6,c0 ; d0:4+3+0=7→w7,c0 ; sum=763 |
multidigit_addition | multidigit_addition:rounding-decomposition | 421+338 | round:430+338=768 ; adjust:768-9=759 ; sum=759 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=75 | 5x+35=75 ; 5x=40 ; x=8 |
list_summation | list_summation:right-to-left | 1, 8, 0, 6 | 0+6=6 ; 8+6=14 ; 1+14=15 |
base_conversion | base_conversion:repeated-division | n=221,base=4 | DIV:221/4=55,r:1 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3131 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=28 | 7x-21=28 ; 7x=49 ; x=7 |
base_conversion | base_conversion:via-binary | n=134,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:6 ; OUT:86 |
base_conversion | base_conversion:decomposition | n=145,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10010001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 270+682 | d2:0+2+0=2→w2,c0 ; d1:7+8+0=15→w5,c1 ; d0:2+6+1=9→w9,c0 ; sum=952 |
base_conversion | base_conversion:repeated-division | n=254,base=8 | DIV:254/8=31,r:6 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:376 |
base_conversion | base_conversion:repeated-division | n=41,base=8 | DIV:41/8=5,r:1 ; DIV:5/8=0,r:5 ; OUT:51 |
list_summation | list_summation:pairwise | 9, 5, 1, 2 | 9+5=14 ; 1+2=3 ; 14+3=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 813+703 | round:820+703=1523 ; adjust:1523-7=1516 ; sum=1516 |
list_summation | list_summation:right-to-left | 4, 7, 1, 4 | 1+4=5 ; 7+5=12 ; 4+12=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-12 | 3x+0=-12 ; 3x=-12 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 323+720 | p100:300+700=1000 ; p10:20+20=40 ; p1:3+0=3 ; sum=1000+40+3=1043 |
base_conversion | base_conversion:decomposition | n=117,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110101 |
base_conversion | base_conversion:via-binary | n=34,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:2 ; OUT:42 |
list_summation | list_summation:right-to-left | 6, 2, 5, 8 | 5+8=13 ; 2+13=15 ; 6+15=21 |
list_summation | list_summation:pairwise | 2, 0, 0, 2 | 2+0=2 ; 0+2=2 ; 2+2=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+49=77 | 7x+49=77 ; x=(77-49)/7 ; x=28/7 ; x=4 |
base_conversion | base_conversion:via-binary | n=151,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:7 ; OUT:227 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 1, 2, 4 | [1,2,6,7,4] ; [1,2,4,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 369+584 | round:370+584=954 ; adjust:954-1=953 ; sum=953 |
multidigit_addition | multidigit_addition:right-to-left-carry | 926+636 | d2:6+6+0=12→w2,c1 ; d1:2+3+1=6→w6,c0 ; d0:9+6+0=15→w5,c1 ; sum=1562 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 5, 6, 4 | [3,9,5,6,4] ; [3,5,9,6,4] ; [3,5,6,9,4] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 594+950 | d2:4+0+0=4→w4,c0 ; d1:9+5+0=14→w4,c1 ; d0:5+9+1=15→w5,c1 ; sum=1544 |
multidigit_addition | multidigit_addition:rounding-decomposition | 147+483 | round:150+483=633 ; adjust:633-3=630 ; sum=630 |
list_summation | list_summation:pairwise | 5, 5, 7, 6 | 5+5=10 ; 7+6=13 ; 10+13=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-21 | 7x-14=-21 ; 7x=-7 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 112+508 | d2:2+8+0=10→w0,c1 ; d1:1+0+1=2→w2,c0 ; d0:1+5+0=6→w6,c0 ; sum=620 |
multidigit_addition | multidigit_addition:rounding-decomposition | 273+986 | round:280+986=1266 ; adjust:1266-7=1259 ; sum=1259 |
base_conversion | base_conversion:decomposition | n=104,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1101000 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,5) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=35 | 7x-21=35 ; 7x=56 ; x=8 |
list_summation | list_summation:pairwise | 9, 7, 2, 6 | 9+7=16 ; 2+6=8 ; 16+8=24 |
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