task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 4, 6, 5, 6 | 4+6=10 ; 5+6=11 ; 10+11=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=12 | 2x+2=12 ; x+1=6 ; x=6-1 ; x=5 |
list_summation | list_summation:right-to-left | 3, 1, 6, 4 | 6+4=10 ; 1+10=11 ; 3+11=14 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 8, 4, 9 | [2,6,8,4,9] ; [2,4,8,6,9] ; [2,4,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 219+166 | round:220+166=386 ; adjust:386-1=385 ; sum=385 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 0, 0, 3, 8 | 3+8=11 ; 0+11=11 ; 0+11=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 483+170 | p100:400+100=500 ; p10:80+70=150 ; p1:3+0=3 ; sum=500+150+3=653 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 3, 5, 2 | [1,7,3,5,2] ; [1,3,7,5,2] ; [1,3,5,7,2] ; [1,3,5,2,7] ; [1,3,2,5,7] ; [1,2,3,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-24 | 6x-48=-24 ; x=(-24--48)/6 ; x=24/6 ; x=4 |
base_conversion | base_conversion:via-binary | n=212,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 3, 4, 6, 1 | 3+4=7 ; 7+6=13 ; 13+1=14 |
list_summation | list_summation:right-to-left | 4, 8, 2, 5 | 2+5=7 ; 8+7=15 ; 4+15=19 |
list_summation | list_summation:left-to-right | 8, 8, 4, 3 | 8+8=16 ; 16+4=20 ; 20+3=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 4, 9, 7 | [1,5,4,9,7] ; [1,4,5,9,7] ; [1,4,5,7,9] |
list_summation | list_summation:left-to-right | 2, 4, 5, 7 | 2+4=6 ; 6+5=11 ; 11+7=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:left-to-right | 4, 4, 1, 4 | 4+4=8 ; 8+1=9 ; 9+4=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 5, 7, 9 | [1,4,5,7,9] ; [1,4,5,7,9] ; [1,4,5,7,9] ; [1,4,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=12 | 6x+36=12 ; x=(12-36)/6 ; x=-24/6 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-18 | 6x-36=-18 ; x+-6=-3 ; x=-3--6 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 3, 8, 6, 8 | 6+8=14 ; 8+14=22 ; 3+22=25 |
base_conversion | base_conversion:via-binary | n=160,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10100000 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 8, 9, 4 | [6,9,8,2,4] ; [9,6,8,2,4] ; [4,6,8,2,9] ; [8,6,4,2,9] ; [2,6,4,8,9] ; [6,2,4,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 309+828 | p100:300+800=1100 ; p10:0+20=20 ; p1:9+8=17 ; sum=1100+20+17=1137 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 3, 8, 5 | [0,7,3,8,5] ; [0,3,7,8,5] ; [0,3,5,8,7] ; [0,3,5,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 6, 9, 0 | [4,5,6,0,9] ; [4,5,0,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9] |
list_summation | list_summation:pairwise | 9, 3, 7, 6 | 9+3=12 ; 7+6=13 ; 12+13=25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 8, 2, 6 | [4,7,8,2,6] ; [4,7,8,2,6] ; [2,4,7,8,6] ; [2,4,6,7,8] |
list_summation | list_summation:pairwise | 8, 3, 7, 5 | 8+3=11 ; 7+5=12 ; 11+12=23 |
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) |
list_summation | list_summation:left-to-right | 5, 9, 7, 3 | 5+9=14 ; 14+7=21 ; 21+3=24 |
base_conversion | base_conversion:via-binary | n=74,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:10 ; OUT:4A |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 4, 9, 6 | [3,9,4,8,6] ; [9,3,4,8,6] ; [9,8,4,3,6] ; [6,8,4,3,9] ; [8,6,4,3,9] ; [3,6,4,8,9] ; [6,3,4,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 121+840 | d2:1+0+0=1→w1,c0 ; d1:2+4+0=6→w6,c0 ; d0:1+8+0=9→w9,c0 ; sum=961 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=195,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:303 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 6, 9, 7 | [5,6,8,9,7] ; [5,6,8,7,9] ; [5,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 8, 1, 9 | [1,7,8,4,9] ; [1,4,8,7,9] ; [1,4,7,8,9] ; [1,4,7,8,9] |
list_summation | list_summation:left-to-right | 9, 0, 3, 8 | 9+0=9 ; 9+3=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(4,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 816+124 | p100:800+100=900 ; p10:10+20=30 ; p1:6+4=10 ; sum=900+30+10=940 |
multidigit_addition | multidigit_addition:right-to-left-carry | 483+452 | d2:3+2+0=5→w5,c0 ; d1:8+5+0=13→w3,c1 ; d0:4+4+1=9→w9,c0 ; sum=935 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 0, 2, 7 | [1,4,0,2,7] ; [0,1,2,4,7] |
base_conversion | base_conversion:repeated-division | n=55,base=16 | DIV:55/16=3,r:7 ; DIV:3/16=0,r:3 ; OUT:37 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=45 | 5x+10=45 ; x=(45-10)/5 ; x=35/5 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:via-binary | n=5,base=8 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=24 | 6x-12=24 ; 6x=36 ; x=6 |
base_conversion | base_conversion:decomposition | n=229,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3211 |
multidigit_addition | multidigit_addition:rounding-decomposition | 942+146 | round:950+146=1096 ; adjust:1096-8=1088 ; sum=1088 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-112 | 8x-56=-112 ; 8x=-56 ; x=-7 |
base_conversion | base_conversion:decomposition | n=254,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:3332 |
list_summation | list_summation:pairwise | 6, 6, 4, 6 | 6+6=12 ; 4+6=10 ; 12+10=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=9 | 9x+45=9 ; 9x=-36 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=127,base=16 | DIV:127/16=7,r:15 ; DIV:7/16=0,r:7 ; OUT:7F |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 7, 2, 0 | [9,2,7,1,0] ; [0,2,7,1,9] ; [7,2,0,1,9] ; [1,2,0,7,9] ; [2,1,0,7,9] ; [0,1,2,7,9] ; [1,0,2,7,9] ; [0,1,2,7,9] |
base_conversion | base_conversion:repeated-division | n=168,base=8 | DIV:168/8=21,r:0 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:250 |
base_conversion | base_conversion:decomposition | n=98,base=16 | TERM:6*16^1=96 ; TERM:2*16^0=2 ; OUT:62 |
list_summation | list_summation:left-to-right | 2, 7, 9, 1 | 2+7=9 ; 9+9=18 ; 18+1=19 |
base_conversion | base_conversion:via-binary | n=204,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3030 |
list_summation | list_summation:right-to-left | 8, 2, 3, 9 | 3+9=12 ; 2+12=14 ; 8+14=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 880+452 | d2:0+2+0=2→w2,c0 ; d1:8+5+0=13→w3,c1 ; d0:8+4+1=13→w3,c1 ; sum=1332 |
base_conversion | base_conversion:decomposition | n=240,base=16 | TERM:15*16^1=240 ; TERM:0*16^0=0 ; OUT:F0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-40=-30 | 5x-40=-30 ; x=(-30--40)/5 ; x=10/5 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=99,base=4 | DIV:99/4=24,r:3 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1203 |
list_summation | list_summation:pairwise | 7, 4, 5, 2 | 7+4=11 ; 5+2=7 ; 11+7=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 500+737 | d2:0+7+0=7→w7,c0 ; d1:0+3+0=3→w3,c0 ; d0:5+7+0=12→w2,c1 ; sum=1237 |
base_conversion | base_conversion:repeated-division | n=230,base=16 | DIV:230/16=14,r:6 ; DIV:14/16=0,r:14 ; OUT:E6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=36 | 4x+4=36 ; x+1=9 ; x=9-1 ; x=8 |
list_summation | list_summation:left-to-right | 2, 7, 4, 6 | 2+7=9 ; 9+4=13 ; 13+6=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 9, 0, 7, 6 | [5,9,0,7,6] ; [0,5,9,7,6] ; [0,5,7,9,6] ; [0,5,6,7,9] |
base_conversion | base_conversion:decomposition | n=128,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:2000 |
base_conversion | base_conversion:repeated-division | n=71,base=2 | DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; 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:1000111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 850+638 | round:850+638=1488 ; adjust:1488-0=1488 ; sum=1488 |
list_summation | list_summation:right-to-left | 5, 4, 6, 7 | 6+7=13 ; 4+13=17 ; 5+17=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 591+714 | p100:500+700=1200 ; p10:90+10=100 ; p1:1+4=5 ; sum=1200+100+5=1305 |
list_summation | list_summation:left-to-right | 2, 5, 0, 4 | 2+5=7 ; 7+0=7 ; 7+4=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 4, 8, 2 | [9,7,4,8,2] ; [9,8,4,7,2] ; [2,8,4,7,9] ; [8,2,4,7,9] ; [8,7,4,2,9] ; [2,7,4,8,9] ; [7,2,4,8,9] ; [4,2,7,8,9] ; [2,4,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-8=16 | 4x-8=16 ; x=(16--8)/4 ; x=24/4 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 520+194 | p100:500+100=600 ; p10:20+90=110 ; p1:0+4=4 ; sum=600+110+4=714 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 4, 0, 9 | [2,5,0,4,9] ; [0,2,4,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
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) |
base_conversion | base_conversion:decomposition | n=232,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:350 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,5) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 0, 3, 0, 6 | 0+3=3 ; 0+6=6 ; 3+6=9 |
list_summation | list_summation:pairwise | 7, 5, 8, 5 | 7+5=12 ; 8+5=13 ; 12+13=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=-63 | 9x+9=-63 ; 9x=-72 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 5, 1, 0 | [3,7,5,1,0] ; [3,5,7,1,0] ; [1,3,5,7,0] ; [0,1,3,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=72 | 9x+54=72 ; x=(72-54)/9 ; x=18/9 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-16 | 8x-24=-16 ; x+-3=-2 ; x=-2--3 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 3, 5, 6 | [2,4,3,5,6] ; [2,3,4,5,6] ; [2,3,4,5,6] ; [2,3,4,5,6] |
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