task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 6, 0, 7 | [0,8,6,5,7] ; [0,5,6,8,7] ; [0,5,6,8,7] ; [0,5,6,7,8] |
base_conversion | base_conversion:decomposition | n=239,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3233 |
base_conversion | base_conversion:decomposition | n=123,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 987+819 | round:990+819=1809 ; adjust:1809-3=1806 ; sum=1806 |
multidigit_addition | multidigit_addition:rounding-decomposition | 795+702 | round:800+702=1502 ; adjust:1502-5=1497 ; sum=1497 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 0, 1, 9 | [5,9,0,1,7] ; [9,5,0,1,7] ; [9,7,0,1,5] ; [5,7,0,1,9] ; [7,5,0,1,9] ; [1,5,0,7,9] ; [5,1,0,7,9] ; [0,1,5,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
base_conversion | base_conversion:decomposition | n=222,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:336 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=10 | 2x+14=10 ; 2x=-4 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=12,base=16 | DIV:12/16=0,r:12 ; OUT:C |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 619+211 | d2:9+1+0=10→w0,c1 ; d1:1+1+1=3→w3,c0 ; d0:6+2+0=8→w8,c0 ; sum=830 |
list_summation | list_summation:left-to-right | 0, 7, 6, 9 | 0+7=7 ; 7+6=13 ; 13+9=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=-7 | 7x+49=-7 ; 7x=-56 ; x=-8 |
base_conversion | base_conversion:decomposition | n=107,base=16 | TERM:6*16^1=96 ; TERM:11*16^0=11 ; OUT:6B |
list_summation | list_summation:right-to-left | 0, 4, 2, 4 | 2+4=6 ; 4+6=10 ; 0+10=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=6 | 3x-3=6 ; 3x=9 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 796+917 | d2:6+7+0=13→w3,c1 ; d1:9+1+1=11→w1,c1 ; d0:7+9+1=17→w7,c1 ; sum=1713 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 9, 0, 1 | [3,7,9,0,1] ; [3,7,0,9,1] ; [0,3,7,9,1] ; [0,1,3,7,9] |
base_conversion | base_conversion:via-binary | n=98,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 2, 6, 3 | [4,2,9,6,3] ; [4,2,6,9,3] ; [4,2,6,3,9] ; [2,4,6,3,9] ; [2,4,3,6,9] ; [2,3,4,6,9] |
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 |
multidigit_addition | multidigit_addition:rounding-decomposition | 151+532 | round:160+532=692 ; adjust:692-9=683 ; sum=683 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=-35 | 5x+0=-35 ; 5x=-35 ; x=-7 |
base_conversion | base_conversion:decomposition | n=204,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3030 |
multidigit_addition | multidigit_addition:left-to-right-partials | 574+969 | p100:500+900=1400 ; p10:70+60=130 ; p1:4+9=13 ; sum=1400+130+13=1543 |
base_conversion | base_conversion:repeated-division | n=10,base=2 | 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:1010 |
base_conversion | base_conversion:repeated-division | n=59,base=4 | DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:323 |
list_summation | list_summation:pairwise | 7, 7, 6, 3 | 7+7=14 ; 6+3=9 ; 14+9=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
list_summation | list_summation:right-to-left | 3, 1, 1, 8 | 1+8=9 ; 1+9=10 ; 3+10=13 |
base_conversion | base_conversion:repeated-division | n=39,base=16 | DIV:39/16=2,r:7 ; DIV:2/16=0,r:2 ; OUT:27 |
base_conversion | base_conversion:decomposition | n=140,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10001100 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 2, 3, 1 | [8,5,2,3,1] ; [1,5,2,3,8] ; [5,1,2,3,8] ; [5,3,2,1,8] ; [1,3,2,5,8] ; [3,1,2,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=54 | 6x+12=54 ; x+2=9 ; x=9-2 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 691+291 | d2:1+1+0=2→w2,c0 ; d1:9+9+0=18→w8,c1 ; d0:6+2+1=9→w9,c0 ; sum=982 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=0 | 2x+0=0 ; 2x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 7, 1, 5, 0 | 5+0=5 ; 1+5=6 ; 7+6=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 9, 1, 7 | [4,8,1,9,7] ; [4,8,1,7,9] ; [4,1,8,7,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 402+178 | d2:2+8+0=10→w0,c1 ; d1:0+7+1=8→w8,c0 ; d0:4+1+0=5→w5,c0 ; sum=580 |
base_conversion | base_conversion:via-binary | n=144,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2100 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 7, 2, 3 | [3,4,7,2,8] ; [7,4,3,2,8] ; [2,4,3,7,8] ; [4,2,3,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
base_conversion | base_conversion:repeated-division | n=38,base=4 | DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:212 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
base_conversion | base_conversion:repeated-division | n=127,base=8 | DIV:127/8=15,r:7 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:177 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 4, 1, 6 | [8,2,4,1,6] ; [8,6,4,1,2] ; [2,6,4,1,8] ; [6,2,4,1,8] ; [1,2,4,6,8] ; [4,2,1,6,8] ; [1,2,4,6,8] ; [2,1,4,6,8] ; [1,2,4,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 986+136 | p100:900+100=1000 ; p10:80+30=110 ; p1:6+6=12 ; sum=1000+110+12=1122 |
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 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=4 | 2x+6=4 ; x+3=2 ; x=2-3 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=21 | 3x+9=21 ; x=(21-9)/3 ; x=12/3 ; x=4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 7, 9, 3 | [2,7,8,9,3] ; [2,7,8,3,9] ; [2,7,3,8,9] ; [2,3,7,8,9] |
base_conversion | base_conversion:repeated-division | n=143,base=16 | DIV:143/16=8,r:15 ; DIV:8/16=0,r:8 ; OUT:8F |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 2, 4, 8 | [3,2,7,4,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
list_summation | list_summation:left-to-right | 8, 7, 1, 9 | 8+7=15 ; 15+1=16 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 4, 6, 0 | [5,8,4,6,0] ; [4,5,8,6,0] ; [4,5,6,8,0] ; [0,4,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 128+295 | round:130+295=425 ; adjust:425-2=423 ; sum=423 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 944+122 | round:950+122=1072 ; adjust:1072-6=1066 ; sum=1066 |
base_conversion | base_conversion:repeated-division | n=250,base=4 | DIV:250/4=62,r:2 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3322 |
multidigit_addition | multidigit_addition:left-to-right-partials | 150+523 | p100:100+500=600 ; p10:50+20=70 ; p1:0+3=3 ; sum=600+70+3=673 |
multidigit_addition | multidigit_addition:right-to-left-carry | 755+283 | d2:5+3+0=8→w8,c0 ; d1:5+8+0=13→w3,c1 ; d0:7+2+1=10→w0,c1 ; sum=1038 |
multidigit_addition | multidigit_addition:left-to-right-partials | 944+121 | p100:900+100=1000 ; p10:40+20=60 ; p1:4+1=5 ; sum=1000+60+5=1065 |
multidigit_addition | multidigit_addition:left-to-right-partials | 736+802 | p100:700+800=1500 ; p10:30+0=30 ; p1:6+2=8 ; sum=1500+30+8=1538 |
base_conversion | base_conversion:via-binary | n=191,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2333 |
base_conversion | base_conversion:decomposition | n=118,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1312 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=-8 | 8x+24=-8 ; x=(-8-24)/8 ; x=-32/8 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 9, 9, 1, 2 | 9+9=18 ; 1+2=3 ; 18+3=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-48 | 6x-6=-48 ; x+-1=-8 ; x=-8--1 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 908+141 | p100:900+100=1000 ; p10:0+40=40 ; p1:8+1=9 ; sum=1000+40+9=1049 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 0, 1, 9 | [0,1,2,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 617+444 | d2:7+4+0=11→w1,c1 ; d1:1+4+1=6→w6,c0 ; d0:6+4+0=10→w0,c1 ; sum=1061 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,4) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 5, 9, 9, 8 | 9+8=17 ; 9+17=26 ; 5+26=31 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,5) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
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 | 2, 9, 3, 4, 8 | [9,2,3,4,8] ; [9,8,3,4,2] ; [2,8,3,4,9] ; [8,2,3,4,9] ; [8,4,3,2,9] ; [2,4,3,8,9] ; [4,2,3,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 508+792 | round:510+792=1302 ; adjust:1302-2=1300 ; sum=1300 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 9, 0, 6 | [1,8,0,9,6] ; [0,1,8,9,6] ; [0,1,6,8,9] |
list_summation | list_summation:right-to-left | 9, 7, 9, 9 | 9+9=18 ; 7+18=25 ; 9+25=34 |
multidigit_addition | multidigit_addition:right-to-left-carry | 956+146 | d2:6+6+0=12→w2,c1 ; d1:5+4+1=10→w0,c1 ; d0:9+1+1=11→w1,c1 ; sum=1102 |
list_summation | list_summation:right-to-left | 2, 3, 2, 4 | 2+4=6 ; 3+6=9 ; 2+9=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 470+537 | d2:0+7+0=7→w7,c0 ; d1:7+3+0=10→w0,c1 ; d0:4+5+1=10→w0,c1 ; sum=1007 |
list_summation | list_summation:pairwise | 9, 1, 2, 6 | 9+1=10 ; 2+6=8 ; 10+8=18 |
base_conversion | base_conversion:repeated-division | n=138,base=4 | DIV:138/4=34,r:2 ; DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2022 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-40 | 8x-56=-40 ; 8x=16 ; x=2 |
list_summation | list_summation:left-to-right | 1, 8, 8, 4 | 1+8=9 ; 9+8=17 ; 17+4=21 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 3, 1, 2 | [2,5,3,1,9] ; [5,2,3,1,9] ; [1,2,3,5,9] ; [3,2,1,5,9] ; [1,2,3,5,9] ; [2,1,3,5,9] ; [1,2,3,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 2, 6, 5 | [2,4,9,6,5] ; [2,4,9,6,5] ; [2,4,5,6,9] ; [2,4,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 2, 7, 1 | [2,5,7,8,1] ; [1,2,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-42 | 7x-35=-42 ; x=(-42--35)/7 ; x=-7/7 ; x=-1 |
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