task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 5, 6, 4 | [0,1,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=-25 | 5x-10=-25 ; 5x=-15 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 3, 0, 7 | [0,2,3,5,7] ; [0,2,3,5,7] ; [0,2,3,5,7] ; [0,2,3,5,7] |
base_conversion | base_conversion:decomposition | n=65,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:101 |
list_summation | list_summation:pairwise | 5, 0, 9, 2 | 5+0=5 ; 9+2=11 ; 5+11=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 9, 0, 5 | [1,4,9,0,5] ; [1,4,0,9,5] ; [0,1,4,9,5] ; [0,1,4,5,9] |
list_summation | list_summation:pairwise | 6, 1, 7, 7 | 6+1=7 ; 7+7=14 ; 7+14=21 |
list_summation | list_summation:left-to-right | 9, 4, 1, 9 | 9+4=13 ; 13+1=14 ; 14+9=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 285+530 | p100:200+500=700 ; p10:80+30=110 ; p1:5+0=5 ; sum=700+110+5=815 |
list_summation | list_summation:right-to-left | 5, 8, 7, 5 | 7+5=12 ; 8+12=20 ; 5+20=25 |
base_conversion | base_conversion:decomposition | n=237,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:355 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=128 | 8x+56=128 ; x+7=16 ; x=16-7 ; x=9 |
base_conversion | base_conversion:via-binary | n=191,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:7 ; OUT:277 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 2, 6, 4 | [4,7,2,6,8] ; [7,4,2,6,8] ; [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] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,3) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:right-to-left | 4, 7, 7, 8 | 7+8=15 ; 7+15=22 ; 4+22=26 |
base_conversion | base_conversion:decomposition | n=84,base=16 | TERM:5*16^1=80 ; TERM:4*16^0=4 ; OUT:54 |
list_summation | list_summation:left-to-right | 8, 1, 5, 6 | 8+1=9 ; 9+5=14 ; 14+6=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-26 | 2x-16=-26 ; x+-8=-13 ; x=-13--8 ; x=-5 |
base_conversion | base_conversion:decomposition | n=157,base=16 | TERM:9*16^1=144 ; TERM:13*16^0=13 ; OUT:9D |
list_summation | list_summation:right-to-left | 4, 1, 1, 0 | 1+0=1 ; 1+1=2 ; 4+2=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 474+971 | round:480+971=1451 ; adjust:1451-6=1445 ; sum=1445 |
base_conversion | base_conversion:repeated-division | n=97,base=2 | DIV:97/2=48,r:1 ; DIV:48/2=24,r:0 ; 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:1100001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 619+979 | p100:600+900=1500 ; p10:10+70=80 ; p1:9+9=18 ; sum=1500+80+18=1598 |
base_conversion | base_conversion:decomposition | n=138,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:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10001010 |
list_summation | list_summation:left-to-right | 4, 5, 5, 1 | 4+5=9 ; 9+5=14 ; 14+1=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 939+637 | d2:9+7+0=16→w6,c1 ; d1:3+3+1=7→w7,c0 ; d0:9+6+0=15→w5,c1 ; sum=1576 |
list_summation | list_summation:right-to-left | 3, 1, 3, 5 | 3+5=8 ; 1+8=9 ; 3+9=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=65,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1000001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:decomposition | n=138,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:2022 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 1, 8, 7 | [2,6,1,8,7] ; [1,2,6,8,7] ; [1,2,6,8,7] ; [1,2,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+14=18 | 2x+14=18 ; x+7=9 ; x=9-7 ; x=2 |
base_conversion | base_conversion:via-binary | n=218,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:10 ; OUT:DA |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; R:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 9, 3, 0, 2 | 9+3=12 ; 0+2=2 ; 12+2=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-10=-28 | 2x-10=-28 ; 2x=-18 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
base_conversion | base_conversion:repeated-division | n=95,base=4 | DIV:95/4=23,r:3 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1133 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=21 | 3x+3=21 ; x=(21-3)/3 ; x=18/3 ; x=6 |
list_summation | list_summation:left-to-right | 5, 4, 2, 7 | 5+4=9 ; 9+2=11 ; 11+7=18 |
list_summation | list_summation:right-to-left | 6, 8, 2, 2 | 2+2=4 ; 8+4=12 ; 6+12=18 |
list_summation | list_summation:right-to-left | 0, 8, 8, 2 | 8+2=10 ; 8+10=18 ; 0+18=18 |
list_summation | list_summation:left-to-right | 5, 3, 9, 0 | 5+3=8 ; 8+9=17 ; 17+0=17 |
list_summation | list_summation:left-to-right | 7, 7, 1, 6 | 7+7=14 ; 14+1=15 ; 15+6=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 8, 6, 1 | [3,5,8,6,1] ; [3,5,6,8,1] ; [1,3,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 2, 5, 0 | [3,8,2,5,0] ; [2,3,8,5,0] ; [2,3,5,8,0] ; [0,2,3,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 137+955 | round:140+955=1095 ; adjust:1095-3=1092 ; sum=1092 |
list_summation | list_summation:pairwise | 7, 1, 1, 2 | 7+1=8 ; 1+2=3 ; 8+3=11 |
base_conversion | base_conversion:via-binary | n=176,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2300 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-96 | 6x-48=-96 ; 6x=-48 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=49 | 7x+35=49 ; x=(49-35)/7 ; x=14/7 ; x=2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=66 | 6x+12=66 ; x+2=11 ; x=11-2 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=21 | 3x+6=21 ; 3x=15 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-12 | 6x+12=-12 ; x+2=-2 ; x=-2-2 ; x=-4 |
list_summation | list_summation:left-to-right | 7, 6, 9, 9 | 7+6=13 ; 13+9=22 ; 22+9=31 |
list_summation | list_summation:left-to-right | 8, 9, 1, 8 | 8+9=17 ; 17+1=18 ; 18+8=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 326+161 | round:330+161=491 ; adjust:491-4=487 ; sum=487 |
multidigit_addition | multidigit_addition:left-to-right-partials | 298+332 | p100:200+300=500 ; p10:90+30=120 ; p1:8+2=10 ; sum=500+120+10=630 |
multidigit_addition | multidigit_addition:right-to-left-carry | 835+141 | d2:5+1+0=6→w6,c0 ; d1:3+4+0=7→w7,c0 ; d0:8+1+0=9→w9,c0 ; sum=976 |
base_conversion | base_conversion:via-binary | n=93,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1131 |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 0, 7, 9 | [0,4,6,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 794+494 | round:800+494=1294 ; adjust:1294-6=1288 ; sum=1288 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 2, 4, 6 | [7,8,2,4,6] ; [2,7,8,4,6] ; [2,4,7,8,6] ; [2,4,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 578+693 | d2:8+3+0=11→w1,c1 ; d1:7+9+1=17→w7,c1 ; d0:5+6+1=12→w2,c1 ; sum=1271 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 2, 0, 7 | [4,2,6,0,7] ; [4,2,0,6,7] ; [2,4,0,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 988+202 | d2:8+2+0=10→w0,c1 ; d1:8+0+1=9→w9,c0 ; d0:9+2+0=11→w1,c1 ; sum=1190 |
base_conversion | base_conversion:repeated-division | n=37,base=4 | DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:211 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 5, 3, 0 | [2,4,5,3,0] ; [2,4,5,3,0] ; [2,3,4,5,0] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-65 | 5x-45=-65 ; x=(-65--45)/5 ; x=-20/5 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 978+114 | round:980+114=1094 ; adjust:1094-2=1092 ; sum=1092 |
base_conversion | base_conversion:repeated-division | n=159,base=2 | DIV:159/2=79,r:1 ; DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,2) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
list_summation | list_summation:pairwise | 1, 6, 2, 0 | 1+6=7 ; 2+0=2 ; 7+2=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 775+556 | d2:5+6+0=11→w1,c1 ; d1:7+5+1=13→w3,c1 ; d0:7+5+1=13→w3,c1 ; sum=1331 |
multidigit_addition | multidigit_addition:left-to-right-partials | 795+314 | p100:700+300=1000 ; p10:90+10=100 ; p1:5+4=9 ; sum=1000+100+9=1109 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 3, 7, 5 | [1,8,3,7,5] ; [1,3,8,7,5] ; [1,3,5,7,8] ; [1,3,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 3, 5, 8 | [2,7,3,5,8] ; [2,3,5,7,8] |
list_summation | list_summation:pairwise | 7, 1, 8, 5 | 7+1=8 ; 8+5=13 ; 8+13=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
base_conversion | base_conversion:repeated-division | n=125,base=2 | DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111101 |
base_conversion | base_conversion:repeated-division | n=107,base=16 | DIV:107/16=6,r:11 ; DIV:6/16=0,r:6 ; OUT:6B |
list_summation | list_summation:right-to-left | 6, 2, 6, 9 | 6+9=15 ; 2+15=17 ; 6+17=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 8, 1, 3 | [6,7,8,1,3] ; [6,7,1,8,3] ; [6,7,1,3,8] ; [6,1,7,3,8] ; [6,1,3,7,8] ; [1,6,3,7,8] ; [1,3,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 1, 7, 6 | [0,1,3,7,6] ; [0,1,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 560+372 | d2:0+2+0=2→w2,c0 ; d1:6+7+0=13→w3,c1 ; d0:5+3+1=9→w9,c0 ; sum=932 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,2) | D:(1,0) ; R:(1,1) ; R:(1,2) |
list_summation | list_summation:right-to-left | 7, 9, 3, 7 | 3+7=10 ; 9+10=19 ; 7+19=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-50 | 5x-30=-50 ; x=(-50--30)/5 ; x=-20/5 ; x=-4 |
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