task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 4, 0, 7 | [2,4,6,0,7] ; [2,4,0,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7] |
base_conversion | base_conversion:via-binary | n=39,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 873+894 | d2:3+4+0=7→w7,c0 ; d1:7+9+0=16→w6,c1 ; d0:8+8+1=17→w7,c1 ; sum=1767 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,5) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 7, 0, 8 | [2,5,7,0,8] ; [2,5,0,7,8] ; [0,2,5,7,8] |
base_conversion | base_conversion:decomposition | n=63,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:111111 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 3, 7, 4 | [3,5,7,9,4] ; [3,4,5,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=40 | 4x+16=40 ; 4x=24 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=55 | 5x+20=55 ; x+4=11 ; x=11-4 ; x=7 |
list_summation | list_summation:left-to-right | 0, 9, 2, 6 | 0+9=9 ; 9+2=11 ; 11+6=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+36=28 | 4x+36=28 ; x=(28-36)/4 ; x=-8/4 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 192+953 | p100:100+900=1000 ; p10:90+50=140 ; p1:2+3=5 ; sum=1000+140+5=1145 |
base_conversion | base_conversion:repeated-division | n=109,base=8 | DIV:109/8=13,r:5 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:155 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 7, 3, 9 | [2,4,7,3,9] ; [2,4,7,3,9] ; [2,3,4,7,9] ; [2,3,4,7,9] |
list_summation | list_summation:right-to-left | 1, 0, 8, 7 | 8+7=15 ; 0+15=15 ; 1+15=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 1, 7, 2 | [3,4,1,7,2] ; [1,3,4,7,2] ; [1,3,4,7,2] ; [1,2,3,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=30 | 6x-24=30 ; x=(30--24)/6 ; x=54/6 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 777+578 | round:780+578=1358 ; adjust:1358-3=1355 ; sum=1355 |
base_conversion | base_conversion:repeated-division | n=56,base=4 | DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:320 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=5 | 5x+15=5 ; 5x=-10 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=223,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11011111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 345+948 | round:350+948=1298 ; adjust:1298-5=1293 ; sum=1293 |
multidigit_addition | multidigit_addition:left-to-right-partials | 719+624 | p100:700+600=1300 ; p10:10+20=30 ; p1:9+4=13 ; sum=1300+30+13=1343 |
multidigit_addition | multidigit_addition:left-to-right-partials | 689+318 | p100:600+300=900 ; p10:80+10=90 ; p1:9+8=17 ; sum=900+90+17=1007 |
multidigit_addition | multidigit_addition:right-to-left-carry | 422+446 | d2:2+6+0=8→w8,c0 ; d1:2+4+0=6→w6,c0 ; d0:4+4+0=8→w8,c0 ; sum=868 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 1, 8, 5 | [2,8,1,6,5] ; [8,2,1,6,5] ; [8,6,1,2,5] ; [5,6,1,2,8] ; [6,5,1,2,8] ; [2,5,1,6,8] ; [5,2,1,6,8] ; [1,2,5,6,8] ; [2,1,5,6,8] ; [1,2,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 785+860 | p100:700+800=1500 ; p10:80+60=140 ; p1:5+0=5 ; sum=1500+140+5=1645 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=6 | 3x-15=6 ; x+-5=2 ; x=2--5 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=6 | 6x+30=6 ; 6x=-24 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 8, 5, 2, 9 | [7,9,5,2,8] ; [9,7,5,2,8] ; [9,8,5,2,7] ; [7,8,5,2,9] ; [8,7,5,2,9] ; [2,7,5,8,9] ; [7,2,5,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-35 | 5x-15=-35 ; x+-3=-7 ; x=-7--3 ; x=-4 |
base_conversion | base_conversion:via-binary | n=119,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1110111 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 9, 2, 4 | [9,5,3,2,4] ; [4,5,3,2,9] ; [5,4,3,2,9] ; [2,4,3,5,9] ; [4,2,3,5,9] ; [3,2,4,5,9] ; [2,3,4,5,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=0 | 5x-45=0 ; 5x=45 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 0, 1, 5 | [3,4,0,1,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:repeated-division | n=151,base=2 | DIV:151/2=75,r:1 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 5, 8, 3 | [0,4,5,3,8] ; [0,4,3,5,8] ; [0,3,4,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 0, 4, 8 | [5,9,0,4,8] ; [5,0,9,4,8] ; [5,0,4,9,8] ; [5,0,4,8,9] ; [0,5,4,8,9] ; [0,4,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=10 | 2x-2=10 ; 2x=12 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=40 | 5x+10=40 ; x+2=8 ; x=8-2 ; x=6 |
list_summation | list_summation:left-to-right | 6, 3, 5, 4 | 6+3=9 ; 9+5=14 ; 14+4=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=-18 | 6x+30=-18 ; x=(-18-30)/6 ; x=-48/6 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=5 | 5x-10=5 ; x+-2=1 ; x=1--2 ; x=3 |
list_summation | list_summation:right-to-left | 4, 1, 1, 4 | 1+4=5 ; 1+5=6 ; 4+6=10 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 0, 5, 7 | [6,8,0,5,7] ; [0,5,6,8,7] ; [0,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=133,base=8 | DIV:133/8=16,r:5 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:205 |
multidigit_addition | multidigit_addition:right-to-left-carry | 894+263 | d2:4+3+0=7→w7,c0 ; d1:9+6+0=15→w5,c1 ; d0:8+2+1=11→w1,c1 ; sum=1157 |
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 |
base_conversion | base_conversion:via-binary | n=42,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:101010 |
list_summation | list_summation:left-to-right | 2, 1, 9, 8 | 2+1=3 ; 3+9=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,2) | R:(1,2) ; D:(2,2) ; D:(3,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 6, 2, 8 | [0,3,6,2,8] ; [0,3,2,6,8] ; [0,2,3,6,8] |
list_summation | list_summation:left-to-right | 4, 7, 3, 1 | 4+7=11 ; 11+3=14 ; 14+1=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 3, 9, 5 | [4,8,3,9,5] ; [3,4,8,9,5] ; [3,4,5,8,9] |
list_summation | list_summation:right-to-left | 5, 2, 8, 2 | 8+2=10 ; 2+10=12 ; 5+12=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 558+315 | round:560+315=875 ; adjust:875-2=873 ; sum=873 |
list_summation | list_summation:left-to-right | 6, 3, 1, 6 | 6+3=9 ; 9+1=10 ; 10+6=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 370+808 | p100:300+800=1100 ; p10:70+0=70 ; p1:0+8=8 ; sum=1100+70+8=1178 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=28 | 7x+28=28 ; x=(28-28)/7 ; x=0/7 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
list_summation | list_summation:pairwise | 2, 0, 0, 6 | 2+0=2 ; 0+6=6 ; 2+6=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 3, 2, 0 | [5,6,3,2,0] ; [5,6,2,3,0] ; [2,3,5,6,0] ; [0,2,3,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 762+702 | p100:700+700=1400 ; p10:60+0=60 ; p1:2+2=4 ; sum=1400+60+4=1464 |
list_summation | list_summation:pairwise | 5, 1, 6, 7 | 5+1=6 ; 6+7=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 2, 7, 6 | [3,7,2,0,6] ; [7,3,2,0,6] ; [7,6,2,0,3] ; [3,6,2,0,7] ; [6,3,2,0,7] ; [0,3,2,6,7] ; [3,0,2,6,7] ; [2,0,3,6,7] ; [0,2,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 744+514 | d2:4+4+0=8→w8,c0 ; d1:4+1+0=5→w5,c0 ; d0:7+5+0=12→w2,c1 ; sum=1258 |
list_summation | list_summation:right-to-left | 8, 8, 1, 3 | 1+3=4 ; 8+4=12 ; 8+12=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 595+391 | p100:500+300=800 ; p10:90+90=180 ; p1:5+1=6 ; sum=800+180+6=986 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 1, 8, 5, 3 | [0,1,5,8,3] ; [0,1,5,3,8] ; [0,1,3,5,8] |
list_summation | list_summation:left-to-right | 7, 3, 6, 7 | 7+3=10 ; 10+6=16 ; 16+7=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-12 | 3x-12=-12 ; 3x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=18 | 2x+18=18 ; 2x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 652+490 | round:660+490=1150 ; adjust:1150-8=1142 ; sum=1142 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-48 | 4x-36=-48 ; 4x=-12 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 996+668 | p100:900+600=1500 ; p10:90+60=150 ; p1:6+8=14 ; sum=1500+150+14=1664 |
list_summation | list_summation:right-to-left | 2, 4, 9, 4 | 9+4=13 ; 4+13=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 949+801 | p100:900+800=1700 ; p10:40+0=40 ; p1:9+1=10 ; sum=1700+40+10=1750 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-8 | 2x-10=-8 ; x=(-8--10)/2 ; x=2/2 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 2, 8, 7 | [6,8,2,3,7] ; [8,6,2,3,7] ; [8,7,2,3,6] ; [6,7,2,3,8] ; [7,6,2,3,8] ; [3,6,2,7,8] ; [6,3,2,7,8] ; [2,3,6,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 0, 8, 6 | [0,5,4,8,6] ; [0,4,5,8,6] ; [0,4,5,8,6] ; [0,4,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=4 | 4x-12=4 ; 4x=16 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=40 | 8x+16=40 ; x=(40-16)/8 ; x=24/8 ; x=3 |
list_summation | list_summation:pairwise | 0, 0, 6, 2 | 0+0=0 ; 6+2=8 ; 0+8=8 |
base_conversion | base_conversion:decomposition | n=139,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:213 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 6, 0, 3 | [8,9,0,6,3] ; [0,6,8,9,3] ; [0,3,6,8,9] |
list_summation | list_summation:pairwise | 8, 3, 1, 0 | 8+3=11 ; 1+0=1 ; 11+1=12 |
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