task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 6, 0, 0, 3 | 6+0=6 ; 6+0=6 ; 6+3=9 |
base_conversion | base_conversion:decomposition | n=195,base=16 | TERM:12*16^1=192 ; TERM:3*16^0=3 ; OUT:C3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 554+430 | d2:4+0+0=4→w4,c0 ; d1:5+3+0=8→w8,c0 ; d0:5+4+0=9→w9,c0 ; sum=984 |
list_summation | list_summation:left-to-right | 4, 7, 1, 3 | 4+7=11 ; 11+1=12 ; 12+3=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-24=-30 | 3x-24=-30 ; x=(-30--24)/3 ; x=-6/3 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 963+301 | d2:3+1+0=4→w4,c0 ; d1:6+0+0=6→w6,c0 ; d0:9+3+0=12→w2,c1 ; sum=1264 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 0, 9, 2 | [0,6,7,9,2] ; [0,2,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 807+662 | round:810+662=1472 ; adjust:1472-3=1469 ; sum=1469 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 5, 7, 2, 4 | 5+7=12 ; 2+4=6 ; 12+6=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-104 | 8x-72=-104 ; x=(-104--72)/8 ; x=-32/8 ; x=-4 |
list_summation | list_summation:right-to-left | 4, 9, 9, 8 | 9+8=17 ; 9+17=26 ; 4+26=30 |
list_summation | list_summation:left-to-right | 6, 7, 6, 8 | 6+7=13 ; 13+6=19 ; 19+8=27 |
base_conversion | base_conversion:repeated-division | n=28,base=8 | DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:34 |
list_summation | list_summation:pairwise | 8, 1, 2, 2 | 8+1=9 ; 2+2=4 ; 9+4=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 688+899 | round:690+899=1589 ; adjust:1589-2=1587 ; sum=1587 |
list_summation | list_summation:left-to-right | 3, 0, 8, 2 | 3+0=3 ; 3+8=11 ; 11+2=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 8, 3, 0 | [1,7,8,3,0] ; [1,7,8,3,0] ; [1,3,7,8,0] ; [0,1,3,7,8] |
list_summation | list_summation:pairwise | 5, 8, 6, 8 | 5+8=13 ; 6+8=14 ; 13+14=27 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=6 | 3x+24=6 ; 3x=-18 ; x=-6 |
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=19,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011 |
base_conversion | base_conversion:via-binary | n=87,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1113 |
base_conversion | base_conversion:via-binary | n=61,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:331 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 7, 9, 6 | [2,8,7,9,6] ; [2,6,7,9,8] ; [2,6,7,9,8] ; [2,6,7,8,9] |
list_summation | list_summation:pairwise | 2, 4, 9, 7 | 2+4=6 ; 9+7=16 ; 6+16=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 162+909 | d2:2+9+0=11→w1,c1 ; d1:6+0+1=7→w7,c0 ; d0:1+9+0=10→w0,c1 ; sum=1071 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,2) | D:(2,1) ; D:(3,1) ; R:(3,2) |
list_summation | list_summation:right-to-left | 3, 7, 2, 3 | 2+3=5 ; 7+5=12 ; 3+12=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:decomposition | n=252,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3330 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 1, 5, 3, 9 | 1+5=6 ; 3+9=12 ; 6+12=18 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 7, 6, 1 | [9,3,7,6,1] ; [9,6,7,3,1] ; [1,6,7,3,9] ; [7,6,1,3,9] ; [3,6,1,7,9] ; [6,3,1,7,9] ; [1,3,6,7,9] ; [3,1,6,7,9] ; [1,3,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 0, 4, 3 | [5,7,0,4,3] ; [0,4,5,7,3] ; [0,3,4,5,7] |
list_summation | list_summation:right-to-left | 8, 3, 9, 8 | 9+8=17 ; 3+17=20 ; 8+20=28 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 6, 4, 1, 8 | 1+8=9 ; 4+9=13 ; 6+13=19 |
list_summation | list_summation:right-to-left | 0, 2, 1, 5 | 1+5=6 ; 2+6=8 ; 0+8=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-70 | 7x-35=-70 ; 7x=-35 ; x=-5 |
list_summation | list_summation:right-to-left | 4, 0, 1, 4 | 1+4=5 ; 0+5=5 ; 4+5=9 |
list_summation | list_summation:pairwise | 5, 8, 6, 1 | 5+8=13 ; 6+1=7 ; 13+7=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=10 | 5x-15=10 ; 5x=25 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 481+548 | round:490+548=1038 ; adjust:1038-9=1029 ; sum=1029 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 4, 2, 6 | [5,7,2,4,6] ; [2,4,5,7,6] ; [2,4,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 792+256 | round:800+256=1056 ; adjust:1056-8=1048 ; sum=1048 |
multidigit_addition | multidigit_addition:right-to-left-carry | 864+619 | d2:4+9+0=13→w3,c1 ; d1:6+1+1=8→w8,c0 ; d0:8+6+0=14→w4,c1 ; sum=1483 |
multidigit_addition | multidigit_addition:right-to-left-carry | 902+412 | d2:2+2+0=4→w4,c0 ; d1:0+1+0=1→w1,c0 ; d0:9+4+0=13→w3,c1 ; sum=1314 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-64 | 4x-32=-64 ; 4x=-32 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 236+791 | p100:200+700=900 ; p10:30+90=120 ; p1:6+1=7 ; sum=900+120+7=1027 |
list_summation | list_summation:right-to-left | 3, 3, 3, 1 | 3+1=4 ; 3+4=7 ; 3+7=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 7, 0, 6 | [0,8,7,9,6] ; [0,6,7,9,8] ; [0,6,7,9,8] ; [0,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=204,base=4 | DIV:204/4=51,r:0 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3030 |
list_summation | list_summation:right-to-left | 8, 4, 0, 0 | 0+0=0 ; 4+0=4 ; 8+4=12 |
list_summation | list_summation:right-to-left | 3, 2, 6, 5 | 6+5=11 ; 2+11=13 ; 3+13=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 953+576 | round:960+576=1536 ; adjust:1536-7=1529 ; sum=1529 |
list_summation | list_summation:pairwise | 2, 2, 0, 8 | 2+2=4 ; 0+8=8 ; 4+8=12 |
list_summation | list_summation:left-to-right | 7, 0, 8, 0 | 7+0=7 ; 7+8=15 ; 15+0=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 3, 2, 6 | [1,3,9,2,6] ; [1,3,2,9,6] ; [1,3,2,6,9] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 1, 7, 2 | [0,3,1,7,2] ; [0,1,3,7,2] ; [0,1,2,7,3] ; [0,1,2,3,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 2, 8, 0 | [1,2,6,8,0] ; [0,1,2,6,8] |
list_summation | list_summation:right-to-left | 2, 8, 7, 4 | 7+4=11 ; 8+11=19 ; 2+19=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 2, 2, 3, 3 | 2+2=4 ; 3+3=6 ; 4+6=10 |
base_conversion | base_conversion:via-binary | n=137,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10001001 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-32 | 8x-64=-32 ; 8x=32 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; R:(0,3) ; D:(1,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=227,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:343 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 9, 6, 0, 5 | [9,1,6,0,5] ; [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, 1, 4, 2, 0 | [6,2,4,1,0] ; [0,2,4,1,6] ; [4,2,0,1,6] ; [1,2,0,4,6] ; [2,1,0,4,6] ; [0,1,2,4,6] ; [1,0,2,4,6] ; [0,1,2,4,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 753+310 | d2:3+0+0=3→w3,c0 ; d1:5+1+0=6→w6,c0 ; d0:7+3+0=10→w0,c1 ; sum=1063 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 3, 2, 9 | [1,8,3,2,9] ; [1,8,2,3,9] ; [1,2,3,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=4 | 2x+10=4 ; x+5=2 ; x=2-5 ; x=-3 |
list_summation | list_summation:pairwise | 1, 7, 1, 2 | 1+7=8 ; 1+2=3 ; 8+3=11 |
list_summation | list_summation:pairwise | 5, 9, 7, 3 | 5+9=14 ; 7+3=10 ; 14+10=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=-18 | 3x+9=-18 ; 3x=-27 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=4 | 4x+32=4 ; x=(4-32)/4 ; x=-28/4 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=16 | 8x+8=16 ; 8x=8 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=80 | 8x+16=80 ; 8x=64 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-21 | 7x-56=-21 ; x=(-21--56)/7 ; x=35/7 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-18=-14 | 2x-18=-14 ; x+-9=-7 ; x=-7--9 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=25 | 5x+15=25 ; x=(25-15)/5 ; x=10/5 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 3, 9, 1 | [0,4,3,9,1] ; [0,1,3,9,4] ; [0,1,3,9,4] ; [0,1,3,4,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 540+684 | round:540+684=1224 ; adjust:1224-0=1224 ; sum=1224 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=5 | 5x+25=5 ; x=(5-25)/5 ; x=-20/5 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=-32 | 4x-4=-32 ; x+-1=-8 ; x=-8--1 ; x=-7 |
list_summation | list_summation:pairwise | 6, 2, 8, 7 | 6+2=8 ; 8+7=15 ; 8+15=23 |
base_conversion | base_conversion:decomposition | n=62,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:332 |
base_conversion | base_conversion:repeated-division | n=183,base=16 | DIV:183/16=11,r:7 ; DIV:11/16=0,r:11 ; OUT:B7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 830+882 | d2:0+2+0=2→w2,c0 ; d1:3+8+0=11→w1,c1 ; d0:8+8+1=17→w7,c1 ; sum=1712 |
base_conversion | base_conversion:via-binary | n=172,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:12 ; OUT:AC |
multidigit_addition | multidigit_addition:right-to-left-carry | 484+547 | d2:4+7+0=11→w1,c1 ; d1:8+4+1=13→w3,c1 ; d0:4+5+1=10→w0,c1 ; sum=1031 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
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