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 | 9, 0, 4, 8, 6 | [0,9,4,8,6] ; [0,4,9,8,6] ; [0,4,8,9,6] ; [0,4,8,6,9] ; [0,4,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 124+100 | d2:4+0+0=4→w4,c0 ; d1:2+0+0=2→w2,c0 ; d0:1+1+0=2→w2,c0 ; sum=224 |
base_conversion | base_conversion:via-binary | n=151,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2113 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-27 | 3x-6=-27 ; x+-2=-9 ; x=-9--2 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 1, 7, 6 | [1,8,3,7,6] ; [1,3,8,7,6] ; [1,3,6,7,8] ; [1,3,6,7,8] |
base_conversion | base_conversion:repeated-division | n=217,base=8 | DIV:217/8=27,r:1 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:331 |
multidigit_addition | multidigit_addition:left-to-right-partials | 683+358 | p100:600+300=900 ; p10:80+50=130 ; p1:3+8=11 ; sum=900+130+11=1041 |
list_summation | list_summation:pairwise | 0, 0, 6, 3 | 0+0=0 ; 6+3=9 ; 0+9=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 9, 2, 8 | [0,7,9,2,8] ; [0,7,2,9,8] ; [0,2,7,9,8] ; [0,2,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 0, 9, 8 | [6,7,0,9,8] ; [6,0,7,9,8] ; [6,0,7,8,9] ; [0,6,7,8,9] |
list_summation | list_summation:left-to-right | 9, 0, 1, 9 | 9+0=9 ; 9+1=10 ; 10+9=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 2, 3, 7 | [2,3,4,5,7] |
list_summation | list_summation:left-to-right | 2, 8, 1, 0 | 2+8=10 ; 10+1=11 ; 11+0=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 519+654 | round:520+654=1174 ; adjust:1174-1=1173 ; sum=1173 |
base_conversion | base_conversion:repeated-division | n=182,base=2 | DIV:182/2=91,r:0 ; DIV:91/2=45,r:1 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; 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:10110110 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 2, 1, 6 | [3,9,2,1,6] ; [3,9,1,2,6] ; [1,2,3,9,6] ; [1,2,3,6,9] |
base_conversion | base_conversion:decomposition | n=23,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 278+713 | round:280+713=993 ; adjust:993-2=991 ; sum=991 |
multidigit_addition | multidigit_addition:rounding-decomposition | 812+883 | round:820+883=1703 ; adjust:1703-8=1695 ; sum=1695 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 1, 3 | [6,9,4,1,3] ; [4,6,9,1,3] ; [1,4,6,9,3] ; [1,3,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 482+149 | p100:400+100=500 ; p10:80+40=120 ; p1:2+9=11 ; sum=500+120+11=631 |
base_conversion | base_conversion:via-binary | n=75,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:1023 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 3, 7, 8 | [0,6,3,7,8] ; [0,3,6,7,8] |
base_conversion | base_conversion:decomposition | n=36,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100100 |
base_conversion | base_conversion:repeated-division | n=32,base=2 | DIV:32/2=16,r:0 ; 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:100000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=27 | 9x+72=27 ; x=(27-72)/9 ; x=-45/9 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 373+634 | d2:3+4+0=7→w7,c0 ; d1:7+3+0=10→w0,c1 ; d0:3+6+1=10→w0,c1 ; sum=1007 |
list_summation | list_summation:right-to-left | 1, 0, 9, 7 | 9+7=16 ; 0+16=16 ; 1+16=17 |
base_conversion | base_conversion:via-binary | n=113,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:1 ; OUT:161 |
multidigit_addition | multidigit_addition:right-to-left-carry | 615+273 | d2:5+3+0=8→w8,c0 ; d1:1+7+0=8→w8,c0 ; d0:6+2+0=8→w8,c0 ; sum=888 |
list_summation | list_summation:pairwise | 0, 9, 2, 3 | 0+9=9 ; 2+3=5 ; 9+5=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 0, 9, 8 | [1,9,0,6,8] ; [9,1,0,6,8] ; [9,8,0,6,1] ; [1,8,0,6,9] ; [8,1,0,6,9] ; [8,6,0,1,9] ; [1,6,0,8,9] ; [6,1,0,8,9] ; [0,1,6,8,9] ; [1,0,6,8,9] ; [0,1,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 142+932 | round:150+932=1082 ; adjust:1082-8=1074 ; sum=1074 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=8 | 8x+40=8 ; x=(8-40)/8 ; x=-32/8 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 123+305 | round:130+305=435 ; adjust:435-7=428 ; sum=428 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 2, 4, 1 | [0,6,2,4,1] ; [0,2,4,6,1] ; [0,1,2,4,6] |
base_conversion | base_conversion:decomposition | n=223,base=16 | TERM:13*16^1=208 ; TERM:15*16^0=15 ; OUT:DF |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 8, 6, 2 | [7,6,8,4,2] ; [8,6,7,4,2] ; [2,6,7,4,8] ; [7,6,2,4,8] ; [4,6,2,7,8] ; [6,4,2,7,8] ; [2,4,6,7,8] ; [4,2,6,7,8] ; [2,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=26,base=16 | DIV:26/16=1,r:10 ; DIV:1/16=0,r:1 ; OUT:1A |
base_conversion | base_conversion:decomposition | n=180,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10110100 |
base_conversion | base_conversion:via-binary | n=12,base=16 | BINLEN:4 ; CHUNK:0:12 ; OUT:C |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 8, 1, 0 | [8,3,6,1,0] ; [0,3,6,1,8] ; [6,3,0,1,8] ; [1,3,0,6,8] ; [3,1,0,6,8] ; [0,1,3,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
list_summation | list_summation:left-to-right | 0, 1, 5, 9 | 0+1=1 ; 1+5=6 ; 6+9=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 847+322 | round:850+322=1172 ; adjust:1172-3=1169 ; sum=1169 |
multidigit_addition | multidigit_addition:right-to-left-carry | 937+379 | d2:7+9+0=16→w6,c1 ; d1:3+7+1=11→w1,c1 ; d0:9+3+1=13→w3,c1 ; sum=1316 |
multidigit_addition | multidigit_addition:right-to-left-carry | 831+618 | d2:1+8+0=9→w9,c0 ; d1:3+1+0=4→w4,c0 ; d0:8+6+0=14→w4,c1 ; sum=1449 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=84 | 7x+56=84 ; x=(84-56)/7 ; x=28/7 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-55 | 5x-15=-55 ; x+-3=-11 ; x=-11--3 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-8 | 8x-56=-8 ; 8x=48 ; x=6 |
base_conversion | base_conversion:repeated-division | n=21,base=16 | DIV:21/16=1,r:5 ; DIV:1/16=0,r:1 ; OUT:15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-91 | 7x-42=-91 ; 7x=-49 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=6 | 6x+30=6 ; x+5=1 ; x=1-5 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 5, 2, 1, 8 | [0,5,1,2,8] ; [0,1,2,5,8] |
base_conversion | base_conversion:decomposition | n=230,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11100110 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 1, 0, 3 | [6,8,1,0,3] ; [1,6,8,0,3] ; [0,1,6,8,3] ; [0,1,3,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 9, 7, 4 | [0,1,7,9,4] ; [0,1,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,4) | D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) |
list_summation | list_summation:right-to-left | 2, 4, 3, 5 | 3+5=8 ; 4+8=12 ; 2+12=14 |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 183+626 | round:190+626=816 ; adjust:816-7=809 ; sum=809 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 4, 3, 9, 0 | [2,9,3,4,0] ; [9,2,3,4,0] ; [9,4,3,2,0] ; [0,4,3,2,9] ; [4,0,3,2,9] ; [4,2,3,0,9] ; [0,2,3,4,9] ; [3,2,0,4,9] ; [0,2,3,4,9] ; [2,0,3,4,9] ; [0,2,3,4,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 718+695 | d2:8+5+0=13→w3,c1 ; d1:1+9+1=11→w1,c1 ; d0:7+6+1=14→w4,c1 ; sum=1413 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-75 | 5x-45=-75 ; x=(-75--45)/5 ; x=-30/5 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-60 | 5x-30=-60 ; 5x=-30 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 551+163 | p100:500+100=600 ; p10:50+60=110 ; p1:1+3=4 ; sum=600+110+4=714 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 5, 3, 0 | [2,8,3,5,0] ; [2,3,5,8,0] ; [0,2,3,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 392+623 | round:400+623=1023 ; adjust:1023-8=1015 ; sum=1015 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=80 | 8x+24=80 ; x=(80-24)/8 ; x=56/8 ; x=7 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 4, 5, 1 | [1,8,4,5,7] ; [1,4,8,5,7] ; [1,4,5,8,7] ; [1,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=42,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:222 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 228+894 | round:230+894=1124 ; adjust:1124-2=1122 ; sum=1122 |
multidigit_addition | multidigit_addition:left-to-right-partials | 485+895 | p100:400+800=1200 ; p10:80+90=170 ; p1:5+5=10 ; sum=1200+170+10=1380 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,5) | D:(1,0) ; D:(2,0) ; D:(3,0) ; 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:via-binary | n=2,base=2 | BINLEN:2 ; CHUNK:0:1 ; CHUNK:1:0 ; OUT:10 |
base_conversion | base_conversion:repeated-division | n=32,base=8 | DIV:32/8=4,r:0 ; DIV:4/8=0,r:4 ; OUT:40 |
list_summation | list_summation:left-to-right | 3, 1, 5, 3 | 3+1=4 ; 4+5=9 ; 9+3=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-10=-4 | 2x-10=-4 ; 2x=6 ; x=3 |
base_conversion | base_conversion:repeated-division | n=66,base=2 | 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:1000010 |
base_conversion | base_conversion:repeated-division | n=233,base=4 | DIV:233/4=58,r:1 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3221 |
multidigit_addition | multidigit_addition:rounding-decomposition | 698+433 | round:700+433=1133 ; adjust:1133-2=1131 ; sum=1131 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
base_conversion | base_conversion:repeated-division | n=64,base=2 | DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; 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:1000000 |
base_conversion | base_conversion:decomposition | n=15,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 210+882 | round:210+882=1092 ; adjust:1092-0=1092 ; sum=1092 |
list_summation | list_summation:left-to-right | 8, 9, 0, 6 | 8+9=17 ; 17+0=17 ; 17+6=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 3, 7, 1 | [6,9,3,7,1] ; [3,6,9,7,1] ; [3,6,7,9,1] ; [1,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=163,base=16 | TERM:10*16^1=160 ; TERM:3*16^0=3 ; OUT:A3 |
base_conversion | base_conversion:via-binary | n=59,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:3 ; OUT:73 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 736+722 | round:740+722=1462 ; adjust:1462-4=1458 ; sum=1458 |
list_summation | list_summation:left-to-right | 4, 9, 2, 0 | 4+9=13 ; 13+2=15 ; 15+0=15 |
base_conversion | base_conversion:repeated-division | n=85,base=2 | DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010101 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 0, 3, 6 | [1,9,0,3,6] ; [0,1,3,9,6] ; [0,1,3,6,9] |
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