task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 4, 8, 1 | [0,8,4,5,1] ; [8,0,4,5,1] ; [8,5,4,0,1] ; [1,5,4,0,8] ; [5,1,4,0,8] ; [0,1,4,5,8] ; [4,1,0,5,8] ; [0,1,4,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8] |
base_conversion | base_conversion:decomposition | n=50,base=8 | TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:62 |
multidigit_addition | multidigit_addition:left-to-right-partials | 949+502 | p100:900+500=1400 ; p10:40+0=40 ; p1:9+2=11 ; sum=1400+40+11=1451 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 8, 2, 1 | [1,7,8,2,4] ; [1,2,8,7,4] ; [1,2,4,7,8] ; [1,2,4,7,8] |
list_summation | list_summation:right-to-left | 5, 2, 4, 5 | 4+5=9 ; 2+9=11 ; 5+11=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 3, 6, 5 | [1,4,3,6,5] ; [1,3,4,6,5] ; [1,3,4,6,5] ; [1,3,4,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 845+916 | p100:800+900=1700 ; p10:40+10=50 ; p1:5+6=11 ; sum=1700+50+11=1761 |
base_conversion | base_conversion:decomposition | n=85,base=16 | TERM:5*16^1=80 ; TERM:5*16^0=5 ; OUT:55 |
list_summation | list_summation:right-to-left | 9, 0, 0, 3 | 0+3=3 ; 0+3=3 ; 9+3=12 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-9 | 9x+18=-9 ; x=(-9-18)/9 ; x=-27/9 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 765+207 | d2:5+7+0=12→w2,c1 ; d1:6+0+1=7→w7,c0 ; d0:7+2+0=9→w9,c0 ; sum=972 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 0, 2, 4 | [6,9,0,2,4] ; [0,6,9,2,4] ; [0,2,6,9,4] ; [0,2,4,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=7 | 7x-42=7 ; x+-6=1 ; x=1--6 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=64 | 4x+28=64 ; x+7=16 ; x=16-7 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 944+841 | p100:900+800=1700 ; p10:40+40=80 ; p1:4+1=5 ; sum=1700+80+5=1785 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 7, 9, 2 | [3,5,7,9,2] ; [3,5,7,2,9] ; [3,5,2,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=35 | 7x+42=35 ; x+6=5 ; x=5-6 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 2, 1, 6 | [3,8,1,2,6] ; [1,2,3,8,6] ; [1,2,3,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 8, 5, 1 | [3,9,8,5,1] ; [3,8,9,5,1] ; [3,8,5,9,1] ; [3,8,5,1,9] ; [3,5,8,1,9] ; [3,5,1,8,9] ; [3,1,5,8,9] ; [1,3,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 631+127 | p100:600+100=700 ; p10:30+20=50 ; p1:1+7=8 ; sum=700+50+8=758 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=54 | 9x-9=54 ; 9x=63 ; x=7 |
list_summation | list_summation:pairwise | 1, 2, 4, 1 | 1+2=3 ; 4+1=5 ; 3+5=8 |
base_conversion | base_conversion:repeated-division | n=19,base=8 | DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 7, 3, 8 | [4,9,7,3,8] ; [4,7,9,3,8] ; [4,7,3,9,8] ; [4,7,3,8,9] ; [4,3,7,8,9] ; [3,4,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 187+734 | round:190+734=924 ; adjust:924-3=921 ; sum=921 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=48 | 6x+48=48 ; x+8=8 ; x=8-8 ; x=0 |
base_conversion | base_conversion:decomposition | n=178,base=8 | TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:262 |
list_summation | list_summation:right-to-left | 3, 9, 4, 1 | 4+1=5 ; 9+5=14 ; 3+14=17 |
list_summation | list_summation:pairwise | 3, 3, 4, 7 | 3+3=6 ; 4+7=11 ; 6+11=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 378+984 | p100:300+900=1200 ; p10:70+80=150 ; p1:8+4=12 ; sum=1200+150+12=1362 |
list_summation | list_summation:right-to-left | 0, 9, 4, 3 | 4+3=7 ; 9+7=16 ; 0+16=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=9 | 3x+21=9 ; x+7=3 ; x=3-7 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=-24 | 6x+18=-24 ; x+3=-4 ; x=-4-3 ; x=-7 |
base_conversion | base_conversion:via-binary | n=118,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:1312 |
multidigit_addition | multidigit_addition:left-to-right-partials | 791+770 | p100:700+700=1400 ; p10:90+70=160 ; p1:1+0=1 ; sum=1400+160+1=1561 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=15 | 5x-25=15 ; x=(15--25)/5 ; x=40/5 ; x=8 |
base_conversion | base_conversion:decomposition | n=197,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11000101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 7, 9, 5 | [0,2,7,9,5] ; [0,2,7,9,5] ; [0,2,7,9,5] ; [0,2,5,7,9] |
list_summation | list_summation:left-to-right | 1, 1, 6, 0 | 1+1=2 ; 2+6=8 ; 8+0=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=28 | 7x-28=28 ; x+-4=4 ; x=4--4 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 9, 8, 2 | [1,3,9,8,2] ; [1,2,9,8,3] ; [1,2,3,8,9] ; [1,2,3,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 210+873 | round:210+873=1083 ; adjust:1083-0=1083 ; sum=1083 |
list_summation | list_summation:pairwise | 8, 4, 4, 5 | 8+4=12 ; 4+5=9 ; 12+9=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 198+111 | p100:100+100=200 ; p10:90+10=100 ; p1:8+1=9 ; sum=200+100+9=309 |
list_summation | list_summation:pairwise | 2, 9, 7, 7 | 2+9=11 ; 7+7=14 ; 11+14=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=40 | 5x+10=40 ; x=(40-10)/5 ; x=30/5 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 639+752 | d2:9+2+0=11→w1,c1 ; d1:3+5+1=9→w9,c0 ; d0:6+7+0=13→w3,c1 ; sum=1391 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 5, 6, 0, 4 | 5+6=11 ; 11+0=11 ; 11+4=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 4, 3, 1 | [5,4,8,3,1] ; [5,4,3,8,1] ; [5,4,3,1,8] ; [4,5,3,1,8] ; [4,3,5,1,8] ; [4,3,1,5,8] ; [3,4,1,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
list_summation | list_summation:right-to-left | 7, 3, 8, 3 | 8+3=11 ; 3+11=14 ; 7+14=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-21 | 3x-12=-21 ; x=(-21--12)/3 ; x=-9/3 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 9, 8, 0 | [2,8,9,1,0] ; [9,8,2,1,0] ; [0,8,2,1,9] ; [8,0,2,1,9] ; [8,1,2,0,9] ; [0,1,2,8,9] ; [2,1,0,8,9] ; [0,1,2,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 8, 4, 6 | [8,7,5,4,6] ; [6,7,5,4,8] ; [7,6,5,4,8] ; [4,6,5,7,8] ; [6,4,5,7,8] ; [5,4,6,7,8] ; [4,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-72 | 8x-48=-72 ; 8x=-24 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:left-to-right | 7, 2, 3, 1 | 7+2=9 ; 9+3=12 ; 12+1=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 8, 7, 0 | [1,2,7,8,0] ; [1,2,7,0,8] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
list_summation | list_summation:right-to-left | 9, 2, 2, 1 | 2+1=3 ; 2+3=5 ; 9+5=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 397+593 | d2:7+3+0=10→w0,c1 ; d1:9+9+1=19→w9,c1 ; d0:3+5+1=9→w9,c0 ; sum=990 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 9, 7, 4, 2 | [9,6,7,4,2] ; [2,6,7,4,9] ; [7,6,2,4,9] ; [4,6,2,7,9] ; [6,4,2,7,9] ; [2,4,6,7,9] ; [4,2,6,7,9] ; [2,4,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 441+109 | p100:400+100=500 ; p10:40+0=40 ; p1:1+9=10 ; sum=500+40+10=550 |
list_summation | list_summation:pairwise | 1, 4, 6, 7 | 1+4=5 ; 6+7=13 ; 5+13=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 162+730 | d2:2+0+0=2→w2,c0 ; d1:6+3+0=9→w9,c0 ; d0:1+7+0=8→w8,c0 ; sum=892 |
list_summation | list_summation:left-to-right | 5, 7, 6, 9 | 5+7=12 ; 12+6=18 ; 18+9=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=24 | 6x+48=24 ; x+8=4 ; x=4-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=56 | 8x-16=56 ; x+-2=7 ; x=7--2 ; x=9 |
list_summation | list_summation:pairwise | 1, 4, 8, 5 | 1+4=5 ; 8+5=13 ; 5+13=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 4, 7, 1 | [1,2,3,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 530+452 | d2:0+2+0=2→w2,c0 ; d1:3+5+0=8→w8,c0 ; d0:5+4+0=9→w9,c0 ; sum=982 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-44 | 4x-36=-44 ; x=(-44--36)/4 ; x=-8/4 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 160+525 | d2:0+5+0=5→w5,c0 ; d1:6+2+0=8→w8,c0 ; d0:1+5+0=6→w6,c0 ; sum=685 |
list_summation | list_summation:left-to-right | 6, 8, 4, 1 | 6+8=14 ; 14+4=18 ; 18+1=19 |
list_summation | list_summation:left-to-right | 4, 8, 7, 6 | 4+8=12 ; 12+7=19 ; 19+6=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 533+420 | d2:3+0+0=3→w3,c0 ; d1:3+2+0=5→w5,c0 ; d0:5+4+0=9→w9,c0 ; sum=953 |
list_summation | list_summation:pairwise | 8, 9, 6, 9 | 8+9=17 ; 6+9=15 ; 17+15=32 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=20 | 2x+2=20 ; 2x=18 ; x=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 0, 5, 4 | [1,3,0,5,4] ; [0,1,3,5,4] ; [0,1,3,5,4] ; [0,1,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-20 | 2x-10=-20 ; x+-5=-10 ; x=-10--5 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 6, 7, 2 | [3,6,9,7,2] ; [3,6,7,9,2] ; [3,6,7,2,9] ; [3,6,2,7,9] ; [3,2,6,7,9] ; [2,3,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 281+932 | d2:1+2+0=3→w3,c0 ; d1:8+3+0=11→w1,c1 ; d0:2+9+1=12→w2,c1 ; sum=1213 |
list_summation | list_summation:right-to-left | 9, 8, 5, 4 | 5+4=9 ; 8+9=17 ; 9+17=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; D:(2,2) ; R:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 7, 0, 3 | [6,9,7,0,3] ; [6,7,9,0,3] ; [0,6,7,9,3] ; [0,3,6,7,9] |
base_conversion | base_conversion:repeated-division | n=156,base=4 | DIV:156/4=39,r:0 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2130 |
base_conversion | base_conversion:repeated-division | n=32,base=16 | DIV:32/16=2,r:0 ; DIV:2/16=0,r:2 ; OUT:20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=33 | 3x+27=33 ; x+9=11 ; x=11-9 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=52,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110100 |
list_summation | list_summation:right-to-left | 5, 7, 9, 1 | 9+1=10 ; 7+10=17 ; 5+17=22 |
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