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=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 5, 4, 5, 7 | 5+7=12 ; 4+12=16 ; 5+16=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=-18 | 6x+6=-18 ; 6x=-24 ; x=-4 |
base_conversion | base_conversion:decomposition | n=65,base=16 | TERM:4*16^1=64 ; TERM:1*16^0=1 ; OUT:41 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
base_conversion | base_conversion:decomposition | n=149,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2111 |
base_conversion | base_conversion:decomposition | n=91,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1123 |
base_conversion | base_conversion:repeated-division | n=211,base=4 | DIV:211/4=52,r:3 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3103 |
list_summation | list_summation:left-to-right | 6, 3, 1, 0 | 6+3=9 ; 9+1=10 ; 10+0=10 |
base_conversion | base_conversion:via-binary | n=64,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1000000 |
list_summation | list_summation:right-to-left | 7, 2, 9, 8 | 9+8=17 ; 2+17=19 ; 7+19=26 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 5, 7, 3 | [2,9,5,7,3] ; [2,5,9,7,3] ; [2,5,7,9,3] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
list_summation | list_summation:right-to-left | 5, 4, 6, 4 | 6+4=10 ; 4+10=14 ; 5+14=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 7, 9, 4 | [5,9,7,8,4] ; [9,5,7,8,4] ; [9,8,7,5,4] ; [4,8,7,5,9] ; [8,4,7,5,9] ; [8,5,7,4,9] ; [4,5,7,8,9] ; [7,5,4,8,9] ; [4,5,7,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=5 | 5x-25=5 ; x+-5=1 ; x=1--5 ; x=6 |
base_conversion | base_conversion:repeated-division | n=64,base=2 | DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1000000 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 1, 9, 2 | [1,5,6,9,2] ; [1,2,6,9,5] ; [1,2,5,9,6] ; [1,2,5,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 3, 4, 2 | [5,6,3,4,2] ; [3,5,6,4,2] ; [3,4,5,6,2] ; [2,3,4,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 287+518 | d2:7+8+0=15→w5,c1 ; d1:8+1+1=10→w0,c1 ; d0:2+5+1=8→w8,c0 ; sum=805 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 4, 6, 7 | [1,9,4,6,7] ; [1,4,9,6,7] ; [1,4,6,9,7] ; [1,4,6,7,9] |
base_conversion | base_conversion:via-binary | n=26,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32 |
multidigit_addition | multidigit_addition:right-to-left-carry | 558+834 | d2:8+4+0=12→w2,c1 ; d1:5+3+1=9→w9,c0 ; d0:5+8+0=13→w3,c1 ; sum=1392 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 2, 0, 5 | [6,2,9,0,5] ; [6,2,0,9,5] ; [6,2,0,5,9] ; [2,6,0,5,9] ; [2,0,6,5,9] ; [2,0,5,6,9] ; [0,2,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 761+717 | d2:1+7+0=8→w8,c0 ; d1:6+1+0=7→w7,c0 ; d0:7+7+0=14→w4,c1 ; sum=1478 |
list_summation | list_summation:pairwise | 6, 9, 3, 4 | 6+9=15 ; 3+4=7 ; 15+7=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 2, 3, 9, 7 | [0,9,3,2,7] ; [9,0,3,2,7] ; [9,7,3,2,0] ; [0,7,3,2,9] ; [7,0,3,2,9] ; [7,2,3,0,9] ; [0,2,3,7,9] ; [3,2,0,7,9] ; [0,2,3,7,9] ; [2,0,3,7,9] ; [0,2,3,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
list_summation | list_summation:right-to-left | 2, 6, 5, 9 | 5+9=14 ; 6+14=20 ; 2+20=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 6, 5, 8 | [2,3,6,5,8] ; [2,3,5,6,8] |
base_conversion | base_conversion:repeated-division | n=211,base=2 | DIV:211/2=105,r:1 ; DIV:105/2=52,r:1 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; 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:11010011 |
base_conversion | base_conversion:decomposition | n=141,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2031 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=-30 | 6x-12=-30 ; 6x=-18 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 1, 3, 0 | [2,6,1,3,0] ; [1,2,6,3,0] ; [1,2,3,6,0] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=-16 | 2x-4=-16 ; x+-2=-8 ; x=-8--2 ; x=-6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 4, 7, 8 | [1,5,4,7,8] ; [1,4,5,7,8] ; [1,4,5,7,8] ; [1,4,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=45 | 5x+40=45 ; x=(45-40)/5 ; x=5/5 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 1, 8, 9, 2 | 1+8=9 ; 9+2=11 ; 9+11=20 |
base_conversion | base_conversion:repeated-division | n=143,base=8 | DIV:143/8=17,r:7 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:217 |
list_summation | list_summation:right-to-left | 3, 8, 9, 2 | 9+2=11 ; 8+11=19 ; 3+19=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 8, 2, 4 | [6,9,8,2,4] ; [6,8,9,2,4] ; [6,8,2,9,4] ; [6,8,2,4,9] ; [6,2,8,4,9] ; [6,2,4,8,9] ; [2,6,4,8,9] ; [2,4,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=16 | 4x+32=16 ; 4x=-16 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 4, 6, 4, 2 | 4+6=10 ; 4+2=6 ; 10+6=16 |
list_summation | list_summation:right-to-left | 9, 4, 5, 7 | 5+7=12 ; 4+12=16 ; 9+16=25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
list_summation | list_summation:pairwise | 0, 3, 5, 8 | 0+3=3 ; 5+8=13 ; 3+13=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 0, 3, 9 | [6,7,0,3,9] ; [6,0,7,3,9] ; [6,0,3,7,9] ; [0,6,3,7,9] ; [0,3,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=72 | 8x+72=72 ; 8x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 246+927 | round:250+927=1177 ; adjust:1177-4=1173 ; sum=1173 |
base_conversion | base_conversion:decomposition | n=193,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11000001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 1, 7, 3 | [0,5,1,7,3] ; [0,1,5,7,3] ; [0,1,5,3,7] ; [0,1,3,5,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 3, 0, 2 | [5,8,3,0,2] ; [5,3,8,0,2] ; [5,3,0,8,2] ; [5,3,0,2,8] ; [3,5,0,2,8] ; [3,0,5,2,8] ; [3,0,2,5,8] ; [0,3,2,5,8] ; [0,2,3,5,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 3, 9, 4 | [5,9,3,8,4] ; [9,5,3,8,4] ; [9,8,3,5,4] ; [4,8,3,5,9] ; [8,4,3,5,9] ; [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] |
multidigit_addition | multidigit_addition:rounding-decomposition | 191+562 | round:200+562=762 ; adjust:762-9=753 ; sum=753 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-40 | 4x-12=-40 ; x+-3=-10 ; x=-10--3 ; x=-7 |
base_conversion | base_conversion:decomposition | n=175,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10101111 |
base_conversion | base_conversion:decomposition | n=206,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11001110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-18=-6 | 2x-18=-6 ; x+-9=-3 ; x=-3--9 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=24 | 4x+12=24 ; x+3=6 ; x=6-3 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 996+762 | round:1000+762=1762 ; adjust:1762-4=1758 ; sum=1758 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=-10 | 5x+5=-10 ; 5x=-15 ; x=-3 |
list_summation | list_summation:left-to-right | 8, 4, 6, 1 | 8+4=12 ; 12+6=18 ; 18+1=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 4, 2, 0 | [7,4,8,2,0] ; [7,4,2,8,0] ; [7,4,2,0,8] ; [4,7,2,0,8] ; [4,2,7,0,8] ; [4,2,0,7,8] ; [2,4,0,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=-12 | 2x+2=-12 ; x=(-12-2)/2 ; x=-14/2 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 4, 1, 3 | [5,7,4,1,3] ; [5,7,1,4,3] ; [1,4,5,7,3] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=63 | 7x+63=63 ; x+9=9 ; x=9-9 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-56 | 7x-49=-56 ; x=(-56--49)/7 ; x=-7/7 ; x=-1 |
list_summation | list_summation:pairwise | 1, 4, 5, 5 | 1+4=5 ; 5+5=10 ; 5+10=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=66 | 6x+30=66 ; x+5=11 ; x=11-5 ; x=6 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 7, 6, 1 | [8,6,7,0,1] ; [1,6,7,0,8] ; [7,6,1,0,8] ; [0,6,1,7,8] ; [6,0,1,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
base_conversion | base_conversion:repeated-division | n=104,base=8 | DIV:104/8=13,r:0 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:150 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 0, 1, 7, 8 | [0,2,1,7,8] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 7, 2, 0 | [4,6,2,7,0] ; [2,4,6,7,0] ; [0,2,4,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; R:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 4, 7, 0 | [8,7,4,5,0] ; [0,7,4,5,8] ; [7,0,4,5,8] ; [7,5,4,0,8] ; [0,5,4,7,8] ; [5,0,4,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 5, 4, 1, 9 | 1+9=10 ; 4+10=14 ; 5+14=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 6, 3, 4 | [1,6,7,3,4] ; [1,6,3,7,4] ; [1,6,3,4,7] ; [1,3,6,4,7] ; [1,3,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 7, 8, 0 | [2,5,7,8,0] ; [0,2,5,7,8] |
list_summation | list_summation:pairwise | 6, 2, 2, 7 | 6+2=8 ; 2+7=9 ; 8+9=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=54 | 3x+27=54 ; x=(54-27)/3 ; x=27/3 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 4, 1, 8 | [0,3,4,1,8] ; [0,3,1,4,8] ; [0,1,3,4,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=90 | 9x+9=90 ; x+1=10 ; x=10-1 ; x=9 |
base_conversion | base_conversion:repeated-division | n=163,base=2 | DIV:163/2=81,r:1 ; DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; 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:10100011 |
list_summation | list_summation:left-to-right | 2, 2, 2, 4 | 2+2=4 ; 4+2=6 ; 6+4=10 |
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:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
list_summation | list_summation:right-to-left | 9, 5, 1, 2 | 1+2=3 ; 5+3=8 ; 9+8=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 0, 3, 1 | [0,4,9,3,1] ; [0,1,9,3,4] ; [0,1,3,9,4] ; [0,1,3,4,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 224+538 | d2:4+8+0=12→w2,c1 ; d1:2+3+1=6→w6,c0 ; d0:2+5+0=7→w7,c0 ; sum=762 |
base_conversion | base_conversion:decomposition | n=124,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:174 |
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