task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 2, 4, 0 | [7,8,2,4,0] ; [2,4,7,8,0] ; [0,2,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+35=50 | 5x+35=50 ; x+7=10 ; x=10-7 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 902+399 | d2:2+9+0=11→w1,c1 ; d1:0+9+1=10→w0,c1 ; d0:9+3+1=13→w3,c1 ; sum=1301 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 4, 7, 0 | [1,2,4,7,0] ; [1,2,4,7,0] ; [1,2,4,7,0] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=45 | 9x-9=45 ; 9x=54 ; x=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 7, 8, 2 | [3,9,7,8,2] ; [3,7,9,8,2] ; [3,7,8,9,2] ; [2,3,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 8, 5, 1 | [4,7,8,5,1] ; [4,7,5,8,1] ; [4,7,5,1,8] ; [4,5,7,1,8] ; [4,5,1,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 4, 1, 9, 9 | 9+9=18 ; 1+18=19 ; 4+19=23 |
base_conversion | base_conversion:via-binary | n=142,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:6 ; OUT:216 |
list_summation | list_summation:left-to-right | 6, 5, 1, 8 | 6+5=11 ; 11+1=12 ; 12+8=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=0 | 7x-7=0 ; 7x=7 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 2, 7, 5, 3 | [0,2,7,5,3] ; [0,2,7,5,3] ; [0,2,3,5,7] ; [0,2,3,5,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 7, 3, 0 | [4,5,3,7,0] ; [3,4,5,7,0] ; [0,3,4,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 343+561 | d2:3+1+0=4→w4,c0 ; d1:4+6+0=10→w0,c1 ; d0:3+5+1=9→w9,c0 ; sum=904 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 5, 4, 3 | [0,6,4,5,3] ; [0,4,5,6,3] ; [0,3,4,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-6=9 | 3x-6=9 ; x=(9--6)/3 ; x=15/3 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 105+826 | d2:5+6+0=11→w1,c1 ; d1:0+2+1=3→w3,c0 ; d0:1+8+0=9→w9,c0 ; sum=931 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 5, 0, 4, 4 | 5+0=5 ; 4+4=8 ; 5+8=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 8, 9, 0 | [3,7,8,9,0] ; [3,7,8,9,0] ; [3,7,8,9,0] ; [0,3,7,8,9] |
base_conversion | base_conversion:via-binary | n=203,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3023 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=81 | 9x+54=81 ; x+6=9 ; x=9-6 ; x=3 |
base_conversion | base_conversion:decomposition | n=169,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:1*8^0=1 ; OUT:251 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-3 | 3x-24=-3 ; 3x=21 ; x=7 |
base_conversion | base_conversion:repeated-division | n=136,base=8 | DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 785+139 | round:790+139=929 ; adjust:929-5=924 ; sum=924 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-40 | 4x-28=-40 ; 4x=-12 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 315+214 | p100:300+200=500 ; p10:10+10=20 ; p1:5+4=9 ; sum=500+20+9=529 |
base_conversion | base_conversion:repeated-division | n=189,base=4 | DIV:189/4=47,r:1 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2331 |
base_conversion | base_conversion:repeated-division | n=113,base=16 | DIV:113/16=7,r:1 ; DIV:7/16=0,r:7 ; OUT:71 |
list_summation | list_summation:left-to-right | 8, 6, 9, 8 | 8+6=14 ; 14+9=23 ; 23+8=31 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=-12 | 6x+24=-12 ; x=(-12-24)/6 ; x=-36/6 ; x=-6 |
list_summation | list_summation:left-to-right | 4, 1, 6, 9 | 4+1=5 ; 5+6=11 ; 11+9=20 |
base_conversion | base_conversion:via-binary | n=182,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 3, 9, 6 | [3,4,7,9,6] ; [3,4,7,9,6] ; [3,4,6,9,7] ; [3,4,6,7,9] |
list_summation | list_summation:pairwise | 0, 5, 1, 0 | 0+5=5 ; 1+0=1 ; 5+1=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=44 | 4x+16=44 ; 4x=28 ; x=7 |
base_conversion | base_conversion:repeated-division | n=103,base=4 | DIV:103/4=25,r:3 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1213 |
list_summation | list_summation:right-to-left | 2, 7, 9, 3 | 9+3=12 ; 7+12=19 ; 2+19=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 271+797 | p100:200+700=900 ; p10:70+90=160 ; p1:1+7=8 ; sum=900+160+8=1068 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 1, 5, 4 | [0,9,1,5,4] ; [0,1,5,9,4] ; [0,1,4,5,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 0, 2, 6, 1 | [0,4,2,6,1] ; [0,2,4,6,1] ; [0,2,4,1,6] ; [0,2,1,4,6] ; [0,1,2,4,6] |
base_conversion | base_conversion:via-binary | n=167,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2213 |
multidigit_addition | multidigit_addition:right-to-left-carry | 563+926 | d2:3+6+0=9→w9,c0 ; d1:6+2+0=8→w8,c0 ; d0:5+9+0=14→w4,c1 ; sum=1489 |
list_summation | list_summation:right-to-left | 8, 9, 7, 3 | 7+3=10 ; 9+10=19 ; 8+19=27 |
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) |
base_conversion | base_conversion:decomposition | n=89,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1121 |
list_summation | list_summation:right-to-left | 2, 7, 8, 4 | 8+4=12 ; 7+12=19 ; 2+19=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 440+570 | p100:400+500=900 ; p10:40+70=110 ; p1:0+0=0 ; sum=900+110+0=1010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 394+738 | round:400+738=1138 ; adjust:1138-6=1132 ; sum=1132 |
multidigit_addition | multidigit_addition:right-to-left-carry | 328+256 | d2:8+6+0=14→w4,c1 ; d1:2+5+1=8→w8,c0 ; d0:3+2+0=5→w5,c0 ; sum=584 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-77 | 7x-56=-77 ; x+-8=-11 ; x=-11--8 ; x=-3 |
list_summation | list_summation:left-to-right | 3, 0, 4, 3 | 3+0=3 ; 3+4=7 ; 7+3=10 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=6 | 6x+24=6 ; x+4=1 ; x=1-4 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-56 | 4x-32=-56 ; x=(-56--32)/4 ; x=-24/4 ; x=-6 |
list_summation | list_summation:pairwise | 1, 6, 0, 9 | 1+6=7 ; 0+9=9 ; 7+9=16 |
list_summation | list_summation:pairwise | 7, 8, 8, 5 | 7+8=15 ; 8+5=13 ; 15+13=28 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=20 | 5x+25=20 ; x+5=4 ; x=4-5 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=15 | 5x-15=15 ; x=(15--15)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:via-binary | n=54,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:6 ; OUT:36 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=-32 | 8x+24=-32 ; x+3=-4 ; x=-4-3 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 616+788 | d2:6+8+0=14→w4,c1 ; d1:1+8+1=10→w0,c1 ; d0:6+7+1=14→w4,c1 ; sum=1404 |
base_conversion | base_conversion:via-binary | n=246,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:6 ; OUT:F6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=-14 | 7x+35=-14 ; 7x=-49 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 0, 6, 2 | [0,1,4,6,2] ; [0,1,4,6,2] ; [0,1,2,6,4] ; [0,1,2,4,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 571+955 | d2:1+5+0=6→w6,c0 ; d1:7+5+0=12→w2,c1 ; d0:5+9+1=15→w5,c1 ; sum=1526 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 8, 7, 2 | [0,1,8,7,2] ; [0,1,8,7,2] ; [0,1,7,8,2] ; [0,1,2,7,8] |
base_conversion | base_conversion:repeated-division | n=9,base=2 | 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:1001 |
base_conversion | base_conversion:decomposition | n=57,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:321 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=8,base=4 | DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 330+344 | p100:300+300=600 ; p10:30+40=70 ; p1:0+4=4 ; sum=600+70+4=674 |
list_summation | list_summation:left-to-right | 9, 7, 6, 8 | 9+7=16 ; 16+6=22 ; 22+8=30 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-15 | 5x+5=-15 ; x=(-15-5)/5 ; x=-20/5 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=54 | 9x+45=54 ; 9x=9 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=229,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100101 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 2, 9, 8 | [1,4,2,9,8] ; [1,2,4,9,8] ; [1,2,4,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 6, 3, 8 | [2,7,6,3,8] ; [2,6,7,3,8] ; [2,3,6,7,8] ; [2,3,6,7,8] |
list_summation | list_summation:pairwise | 4, 5, 5, 3 | 4+5=9 ; 5+3=8 ; 9+8=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 3, 4, 2 | [1,3,4,9,2] ; [1,2,3,4,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 4, 8, 7 | [0,4,6,8,7] ; [0,4,6,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 4, 9, 7 | [0,2,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 149+860 | p100:100+800=900 ; p10:40+60=100 ; p1:9+0=9 ; sum=900+100+9=1009 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,3) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=5,base=16 | TERM:5*16^0=5 ; OUT:5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 939+402 | p100:900+400=1300 ; p10:30+0=30 ; p1:9+2=11 ; sum=1300+30+11=1341 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
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