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 | 8, 9, 6, 8 | 8+9=17 ; 6+8=14 ; 17+14=31 |
multidigit_addition | multidigit_addition:rounding-decomposition | 983+432 | round:990+432=1422 ; adjust:1422-7=1415 ; sum=1415 |
base_conversion | base_conversion:repeated-division | n=94,base=2 | DIV:94/2=47,r:0 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011110 |
list_summation | list_summation:left-to-right | 8, 5, 6, 7 | 8+5=13 ; 13+6=19 ; 19+7=26 |
base_conversion | base_conversion:decomposition | n=244,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:364 |
multidigit_addition | multidigit_addition:rounding-decomposition | 960+609 | round:960+609=1569 ; adjust:1569-0=1569 ; sum=1569 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 5, 7, 0 | [3,4,5,7,0] ; [0,3,4,5,7] |
base_conversion | base_conversion:via-binary | n=8,base=2 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1000 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 6, 8, 7 | [3,8,6,4,7] ; [8,3,6,4,7] ; [8,7,6,4,3] ; [3,7,6,4,8] ; [7,3,6,4,8] ; [7,4,6,3,8] ; [3,4,6,7,8] ; [6,4,3,7,8] ; [3,4,6,7,8] ; [4,3,6,7,8] ; [3,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 770+396 | round:770+396=1166 ; adjust:1166-0=1166 ; sum=1166 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 2, 8, 9 | [0,9,2,8,6] ; [9,0,2,8,6] ; [9,8,2,0,6] ; [6,8,2,0,9] ; [8,6,2,0,9] ; [0,6,2,8,9] ; [6,0,2,8,9] ; [2,0,6,8,9] ; [0,2,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 423+304 | p100:400+300=700 ; p10:20+0=20 ; p1:3+4=7 ; sum=700+20+7=727 |
multidigit_addition | multidigit_addition:left-to-right-partials | 248+354 | p100:200+300=500 ; p10:40+50=90 ; p1:8+4=12 ; sum=500+90+12=602 |
list_summation | list_summation:right-to-left | 5, 7, 7, 3 | 7+3=10 ; 7+10=17 ; 5+17=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 2, 4, 8 | [1,6,2,4,8] ; [1,2,6,4,8] ; [1,2,4,6,8] ; [1,2,4,6,8] |
list_summation | list_summation:left-to-right | 2, 1, 6, 3 | 2+1=3 ; 3+6=9 ; 9+3=12 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 3, 1, 7 | [2,6,1,3,7] ; [1,2,3,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=243,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:3 ; OUT:F3 |
list_summation | list_summation:pairwise | 3, 4, 4, 5 | 3+4=7 ; 4+5=9 ; 7+9=16 |
base_conversion | base_conversion:repeated-division | n=233,base=16 | DIV:233/16=14,r:9 ; DIV:14/16=0,r:14 ; OUT:E9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-96 | 8x-56=-96 ; x+-7=-12 ; x=-12--7 ; x=-5 |
list_summation | list_summation:left-to-right | 2, 7, 2, 9 | 2+7=9 ; 9+2=11 ; 11+9=20 |
base_conversion | base_conversion:decomposition | n=254,base=16 | TERM:15*16^1=240 ; TERM:14*16^0=14 ; OUT:FE |
base_conversion | base_conversion:via-binary | n=182,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=64 | 8x+8=64 ; 8x=56 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 614+574 | d2:4+4+0=8→w8,c0 ; d1:1+7+0=8→w8,c0 ; d0:6+5+0=11→w1,c1 ; sum=1188 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
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 |
multidigit_addition | multidigit_addition:rounding-decomposition | 796+537 | round:800+537=1337 ; adjust:1337-4=1333 ; sum=1333 |
multidigit_addition | multidigit_addition:left-to-right-partials | 550+486 | p100:500+400=900 ; p10:50+80=130 ; p1:0+6=6 ; sum=900+130+6=1036 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 723+475 | d2:3+5+0=8→w8,c0 ; d1:2+7+0=9→w9,c0 ; d0:7+4+0=11→w1,c1 ; sum=1198 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-6 | 6x-18=-6 ; x+-3=-1 ; x=-1--3 ; x=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 6, 0, 2 | [3,7,0,6,2] ; [0,3,6,7,2] ; [0,2,3,6,7] |
list_summation | list_summation:left-to-right | 7, 9, 4, 5 | 7+9=16 ; 16+4=20 ; 20+5=25 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 2, 1, 7 | [0,6,2,1,7] ; [0,1,2,6,7] ; [0,1,2,6,7] ; [0,1,2,6,7] |
base_conversion | base_conversion:repeated-division | n=132,base=2 | DIV:132/2=66,r:0 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; 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:10000100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 101+881 | p100:100+800=900 ; p10:0+80=80 ; p1:1+1=2 ; sum=900+80+2=982 |
list_summation | list_summation:left-to-right | 0, 3, 3, 5 | 0+3=3 ; 3+3=6 ; 6+5=11 |
base_conversion | base_conversion:repeated-division | n=144,base=4 | DIV:144/4=36,r:0 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-12 | 3x+0=-12 ; 3x=-12 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 1, 4, 7, 9 | 7+9=16 ; 4+16=20 ; 1+20=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=189,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10111101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 1, 8, 0 | [2,9,1,8,0] ; [1,2,8,9,0] ; [0,1,2,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 259+710 | round:260+710=970 ; adjust:970-1=969 ; sum=969 |
base_conversion | base_conversion:via-binary | n=61,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:331 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=63 | 7x+21=63 ; 7x=42 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=-30 | 6x-18=-30 ; x=(-30--18)/6 ; x=-12/6 ; x=-2 |
list_summation | list_summation:pairwise | 8, 6, 1, 5 | 8+6=14 ; 1+5=6 ; 14+6=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 749+312 | round:750+312=1062 ; adjust:1062-1=1061 ; sum=1061 |
multidigit_addition | multidigit_addition:right-to-left-carry | 349+271 | d2:9+1+0=10→w0,c1 ; d1:4+7+1=12→w2,c1 ; d0:3+2+1=6→w6,c0 ; sum=620 |
multidigit_addition | multidigit_addition:left-to-right-partials | 423+279 | p100:400+200=600 ; p10:20+70=90 ; p1:3+9=12 ; sum=600+90+12=702 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 2, 6, 4 | [2,7,8,6,4] ; [2,4,8,6,7] ; [2,4,6,8,7] ; [2,4,6,7,8] |
list_summation | list_summation:pairwise | 2, 5, 3, 5 | 2+5=7 ; 3+5=8 ; 7+8=15 |
list_summation | list_summation:right-to-left | 5, 0, 4, 1 | 4+1=5 ; 0+5=5 ; 5+5=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 1, 0, 5, 4 | 1+0=1 ; 1+5=6 ; 6+4=10 |
base_conversion | base_conversion:repeated-division | n=179,base=8 | DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263 |
multidigit_addition | multidigit_addition:rounding-decomposition | 548+203 | round:550+203=753 ; adjust:753-2=751 ; sum=751 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 0, 8, 6 | [2,7,0,8,6] ; [2,0,7,8,6] ; [2,0,7,6,8] ; [0,2,7,6,8] ; [0,2,6,7,8] |
base_conversion | base_conversion:repeated-division | n=176,base=16 | DIV:176/16=11,r:0 ; DIV:11/16=0,r:11 ; OUT:B0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 955+120 | round:960+120=1080 ; adjust:1080-5=1075 ; sum=1075 |
base_conversion | base_conversion:via-binary | n=188,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:4 ; OUT:274 |
list_summation | list_summation:left-to-right | 2, 4, 3, 2 | 2+4=6 ; 6+3=9 ; 9+2=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 446+965 | p100:400+900=1300 ; p10:40+60=100 ; p1:6+5=11 ; sum=1300+100+11=1411 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-42 | 7x-49=-42 ; x+-7=-6 ; x=-6--7 ; x=1 |
list_summation | list_summation:right-to-left | 9, 0, 7, 2 | 7+2=9 ; 0+9=9 ; 9+9=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 4, 6, 3 | [0,8,4,6,3] ; [0,4,6,8,3] ; [0,3,4,6,8] |
list_summation | list_summation:pairwise | 7, 3, 3, 1 | 7+3=10 ; 3+1=4 ; 10+4=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-40=-30 | 5x-40=-30 ; 5x=10 ; x=2 |
base_conversion | base_conversion:repeated-division | n=22,base=16 | DIV:22/16=1,r:6 ; DIV:1/16=0,r:1 ; OUT:16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 887+668 | p100:800+600=1400 ; p10:80+60=140 ; p1:7+8=15 ; sum=1400+140+15=1555 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=48 | 4x+16=48 ; x+4=12 ; x=12-4 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 9, 8, 1, 2 | [9,5,8,1,2] ; [2,5,8,1,9] ; [8,5,2,1,9] ; [1,5,2,8,9] ; [5,1,2,8,9] ; [2,1,5,8,9] ; [1,2,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-45 | 5x-30=-45 ; 5x=-15 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=30 | 2x+12=30 ; x+6=15 ; x=15-6 ; x=9 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 5, 3, 0 | [9,3,5,1,0] ; [0,3,5,1,9] ; [5,3,0,1,9] ; [1,3,0,5,9] ; [3,1,0,5,9] ; [0,1,3,5,9] ; [1,0,3,5,9] ; [0,1,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=108 | 9x+81=108 ; x+9=12 ; x=12-9 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 5, 7, 6 | [8,7,5,1,6] ; [6,7,5,1,8] ; [7,6,5,1,8] ; [1,6,5,7,8] ; [6,1,5,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=99,base=2 | DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 503+769 | round:510+769=1279 ; adjust:1279-7=1272 ; sum=1272 |
list_summation | list_summation:right-to-left | 4, 0, 9, 9 | 9+9=18 ; 0+18=18 ; 4+18=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 7, 9, 8 | [5,6,7,8,9] |
list_summation | list_summation:right-to-left | 9, 2, 9, 1 | 9+1=10 ; 2+10=12 ; 9+12=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=32 | 4x+4=32 ; x+1=8 ; x=8-1 ; x=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 7, 0, 6 | [1,4,7,0,6] ; [1,4,7,0,6] ; [0,1,4,7,6] ; [0,1,4,6,7] |
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