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=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
base_conversion | base_conversion:repeated-division | n=217,base=2 | DIV:217/2=108,r:1 ; DIV:108/2=54,r:0 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; 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:11011001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 905+717 | p100:900+700=1600 ; p10:0+10=10 ; p1:5+7=12 ; sum=1600+10+12=1622 |
multidigit_addition | multidigit_addition:right-to-left-carry | 526+632 | d2:6+2+0=8→w8,c0 ; d1:2+3+0=5→w5,c0 ; d0:5+6+0=11→w1,c1 ; sum=1158 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=36 | 9x+72=36 ; 9x=-36 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 677+771 | p100:600+700=1300 ; p10:70+70=140 ; p1:7+1=8 ; sum=1300+140+8=1448 |
list_summation | list_summation:right-to-left | 2, 1, 2, 5 | 2+5=7 ; 1+7=8 ; 2+8=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 8, 8, 3, 5 | 3+5=8 ; 8+8=16 ; 8+16=24 |
base_conversion | base_conversion:via-binary | n=186,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2322 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 5, 3, 4 | [8,4,5,3,1] ; [1,4,5,3,8] ; [5,4,1,3,8] ; [3,4,1,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 2, 7, 4 | [2,8,9,7,4] ; [2,4,9,7,8] ; [2,4,7,9,8] ; [2,4,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 9, 0, 8 | [1,5,0,9,8] ; [1,5,0,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9] |
base_conversion | base_conversion:via-binary | n=17,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; OUT:11 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 2, 8, 0 | [7,9,2,8,0] ; [2,7,8,9,0] ; [0,2,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 801+348 | d2:1+8+0=9→w9,c0 ; d1:0+4+0=4→w4,c0 ; d0:8+3+0=11→w1,c1 ; sum=1149 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=56 | 7x-7=56 ; 7x=63 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 469+966 | p100:400+900=1300 ; p10:60+60=120 ; p1:9+6=15 ; sum=1300+120+15=1435 |
multidigit_addition | multidigit_addition:left-to-right-partials | 396+374 | p100:300+300=600 ; p10:90+70=160 ; p1:6+4=10 ; sum=600+160+10=770 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-24 | 8x-64=-24 ; x+-8=-3 ; x=-3--8 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 6, 7, 9 | [0,1,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 3, 5 | [6,9,4,3,5] ; [4,6,9,3,5] ; [3,4,6,9,5] ; [3,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=187,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:3 ; OUT:273 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 5, 0, 2 | [1,6,5,0,2] ; [1,6,0,5,2] ; [0,1,5,6,2] ; [0,1,2,5,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-21 | 7x-35=-21 ; x=(-21--35)/7 ; x=14/7 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 1, 4, 5 | [0,7,1,4,5] ; [0,1,7,4,5] ; [0,1,4,7,5] ; [0,1,4,5,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 0, 9, 8, 2 | [1,8,9,0,2] ; [9,8,1,0,2] ; [2,8,1,0,9] ; [8,2,1,0,9] ; [0,2,1,8,9] ; [2,0,1,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
base_conversion | base_conversion:decomposition | n=102,base=16 | TERM:6*16^1=96 ; TERM:6*16^0=6 ; OUT:66 |
multidigit_addition | multidigit_addition:right-to-left-carry | 913+164 | d2:3+4+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:9+1+0=10→w0,c1 ; sum=1077 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,5) | D:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 1, 4, 3 | [5,8,1,4,3] ; [1,5,8,4,3] ; [1,4,5,8,3] ; [1,3,4,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 9, 4, 1 | [2,3,9,4,1] ; [2,3,4,9,1] ; [2,3,4,1,9] ; [2,3,1,4,9] ; [2,1,3,4,9] ; [1,2,3,4,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 3, 1, 5 | [4,7,1,3,5] ; [1,3,4,7,5] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-12 | 2x-16=-12 ; 2x=4 ; x=2 |
list_summation | list_summation:pairwise | 1, 0, 3, 2 | 1+0=1 ; 3+2=5 ; 1+5=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 6, 4, 0 | [8,6,9,4,0] ; [8,6,4,9,0] ; [8,6,4,0,9] ; [6,8,4,0,9] ; [6,4,8,0,9] ; [6,4,0,8,9] ; [4,6,0,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 775+496 | p100:700+400=1100 ; p10:70+90=160 ; p1:5+6=11 ; sum=1100+160+11=1271 |
list_summation | list_summation:right-to-left | 7, 0, 4, 0 | 4+0=4 ; 0+4=4 ; 7+4=11 |
base_conversion | base_conversion:repeated-division | n=105,base=2 | 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:1101001 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 5, 0, 1 | [2,7,0,5,1] ; [0,2,5,7,1] ; [0,1,2,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 0, 1, 5 | [7,5,0,1,2] ; [2,5,0,1,7] ; [5,2,0,1,7] ; [1,2,0,5,7] ; [2,1,0,5,7] ; [0,1,2,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
base_conversion | base_conversion:repeated-division | n=90,base=4 | DIV:90/4=22,r:2 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1122 |
list_summation | list_summation:left-to-right | 2, 8, 3, 1 | 2+8=10 ; 10+3=13 ; 13+1=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=213,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-20=10 | 5x-20=10 ; 5x=30 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 685+429 | round:690+429=1119 ; adjust:1119-5=1114 ; sum=1114 |
multidigit_addition | multidigit_addition:left-to-right-partials | 889+357 | p100:800+300=1100 ; p10:80+50=130 ; p1:9+7=16 ; sum=1100+130+16=1246 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 9, 4, 8 | [0,8,9,4,6] ; [9,8,0,4,6] ; [6,8,0,4,9] ; [8,6,0,4,9] ; [4,6,0,8,9] ; [6,4,0,8,9] ; [0,4,6,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
base_conversion | base_conversion:via-binary | n=65,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 4, 9, 5 | [2,7,4,9,5] ; [2,4,7,9,5] ; [2,4,7,9,5] ; [2,4,5,7,9] |
list_summation | list_summation:right-to-left | 1, 2, 0, 7 | 0+7=7 ; 2+7=9 ; 1+9=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 958+148 | p100:900+100=1000 ; p10:50+40=90 ; p1:8+8=16 ; sum=1000+90+16=1106 |
base_conversion | base_conversion:via-binary | n=132,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:4 ; OUT:84 |
base_conversion | base_conversion:decomposition | n=227,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3203 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=56 | 8x+16=56 ; x=(56-16)/8 ; x=40/8 ; x=5 |
list_summation | list_summation:left-to-right | 5, 5, 9, 6 | 5+5=10 ; 10+9=19 ; 19+6=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 6, 5, 0, 7 | [3,7,5,0,6] ; [7,3,5,0,6] ; [7,6,5,0,3] ; [3,6,5,0,7] ; [6,3,5,0,7] ; [0,3,5,6,7] ; [5,3,0,6,7] ; [0,3,5,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
list_summation | list_summation:right-to-left | 8, 2, 3, 7 | 3+7=10 ; 2+10=12 ; 8+12=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 7, 3, 1 | [8,7,9,3,1] ; [8,7,3,9,1] ; [8,7,3,1,9] ; [7,8,3,1,9] ; [7,3,8,1,9] ; [7,3,1,8,9] ; [3,7,1,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
base_conversion | base_conversion:repeated-division | n=160,base=16 | DIV:160/16=10,r:0 ; DIV:10/16=0,r:10 ; OUT:A0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=162 | 9x+81=162 ; x+9=18 ; x=18-9 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 352+819 | d2:2+9+0=11→w1,c1 ; d1:5+1+1=7→w7,c0 ; d0:3+8+0=11→w1,c1 ; sum=1171 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 3, 9, 5 | [1,9,3,7,5] ; [9,1,3,7,5] ; [9,7,3,1,5] ; [5,7,3,1,9] ; [7,5,3,1,9] ; [1,5,3,7,9] ; [5,1,3,7,9] ; [3,1,5,7,9] ; [1,3,5,7,9] |
list_summation | list_summation:left-to-right | 9, 0, 3, 4 | 9+0=9 ; 9+3=12 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 0, 8, 6 | [0,7,1,8,6] ; [0,1,7,8,6] ; [0,1,6,8,7] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 5, 4, 6 | [8,2,5,4,6] ; [8,6,5,4,2] ; [2,6,5,4,8] ; [6,2,5,4,8] ; [6,4,5,2,8] ; [2,4,5,6,8] ; [5,4,2,6,8] ; [2,4,5,6,8] ; [4,2,5,6,8] ; [2,4,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 421+179 | round:430+179=609 ; adjust:609-9=600 ; sum=600 |
list_summation | list_summation:left-to-right | 3, 1, 6, 3 | 3+1=4 ; 4+6=10 ; 10+3=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 2, 0, 4 | [6,8,2,0,4] ; [6,2,8,0,4] ; [6,2,0,8,4] ; [6,2,0,4,8] ; [2,6,0,4,8] ; [2,0,6,4,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-9=63 | 9x-9=63 ; x=(63--9)/9 ; x=72/9 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=-9 | 3x+15=-9 ; x=(-9-15)/3 ; x=-24/3 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 220+657 | d2:0+7+0=7→w7,c0 ; d1:2+5+0=7→w7,c0 ; d0:2+6+0=8→w8,c0 ; sum=877 |
list_summation | list_summation:left-to-right | 7, 6, 9, 7 | 7+6=13 ; 13+9=22 ; 22+7=29 |
list_summation | list_summation:pairwise | 6, 7, 3, 7 | 6+7=13 ; 3+7=10 ; 13+10=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=-25 | 5x-15=-25 ; x=(-25--15)/5 ; x=-10/5 ; x=-2 |
base_conversion | base_conversion:via-binary | n=169,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2221 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=-66 | 6x-24=-66 ; x=(-66--24)/6 ; x=-42/6 ; x=-7 |
base_conversion | base_conversion:decomposition | n=90,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:132 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 1, 0, 4 | [6,7,0,1,4] ; [0,1,6,7,4] ; [0,1,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=-8 | 2x+8=-8 ; 2x=-16 ; x=-8 |
base_conversion | base_conversion:decomposition | n=13,base=16 | TERM:13*16^0=13 ; OUT:D |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 606+342 | d2:6+2+0=8→w8,c0 ; d1:0+4+0=4→w4,c0 ; d0:6+3+0=9→w9,c0 ; sum=948 |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 5, 7, 4 | [2,3,5,7,4] ; [2,3,5,7,4] ; [2,3,4,7,5] ; [2,3,4,5,7] |
base_conversion | base_conversion:repeated-division | n=118,base=8 | DIV:118/8=14,r:6 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:166 |
base_conversion | base_conversion:repeated-division | n=119,base=4 | DIV:119/4=29,r:3 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1313 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=50 | 5x+15=50 ; 5x=35 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 961+135 | round:970+135=1105 ; adjust:1105-9=1096 ; sum=1096 |
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