task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-24 | 4x-28=-24 ; 4x=4 ; x=1 |
base_conversion | base_conversion:via-binary | n=145,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:1 ; OUT:91 |
base_conversion | base_conversion:decomposition | n=1,base=2 | TERM:1*2^0=1 ; OUT:1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=-12 | 4x-28=-12 ; x+-7=-3 ; x=-3--7 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 8, 4, 3, 6 | [8,7,4,3,6] ; [6,7,4,3,8] ; [7,6,4,3,8] ; [3,6,4,7,8] ; [6,3,4,7,8] ; [4,3,6,7,8] ; [3,4,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=128 | 8x+56=128 ; x+7=16 ; x=16-7 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 0, 5, 1 | [3,9,0,5,1] ; [0,3,5,9,1] ; [0,1,3,5,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=-8 | 2x+8=-8 ; x=(-8-8)/2 ; x=-16/2 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 546+950 | d2:6+0+0=6→w6,c0 ; d1:4+5+0=9→w9,c0 ; d0:5+9+0=14→w4,c1 ; sum=1496 |
multidigit_addition | multidigit_addition:rounding-decomposition | 297+188 | round:300+188=488 ; adjust:488-3=485 ; sum=485 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=10 | 5x+10=10 ; 5x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:via-binary | n=202,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:312 |
multidigit_addition | multidigit_addition:right-to-left-carry | 608+643 | d2:8+3+0=11→w1,c1 ; d1:0+4+1=5→w5,c0 ; d0:6+6+0=12→w2,c1 ; sum=1251 |
base_conversion | base_conversion:via-binary | n=141,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:13 ; OUT:8D |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,3) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 7, 0, 5 | [7,6,1,0,5] ; [5,6,1,0,7] ; [6,5,1,0,7] ; [0,5,1,6,7] ; [5,0,1,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 639+879 | p100:600+800=1400 ; p10:30+70=100 ; p1:9+9=18 ; sum=1400+100+18=1518 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=0 | 7x-14=0 ; x+-2=0 ; x=0--2 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 550+837 | p100:500+800=1300 ; p10:50+30=80 ; p1:0+7=7 ; sum=1300+80+7=1387 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-16 | 2x-8=-16 ; x=(-16--8)/2 ; x=-8/2 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:pairwise | 3, 2, 0, 8 | 3+2=5 ; 0+8=8 ; 5+8=13 |
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 | 5x-25=-35 | 5x-25=-35 ; x+-5=-7 ; x=-7--5 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 611+668 | round:620+668=1288 ; adjust:1288-9=1279 ; sum=1279 |
base_conversion | base_conversion:repeated-division | n=150,base=4 | DIV:150/4=37,r:2 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2112 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 4, 0, 5 | [8,5,4,0,3] ; [3,5,4,0,8] ; [5,3,4,0,8] ; [0,3,4,5,8] ; [4,3,0,5,8] ; [0,3,4,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 638+360 | round:640+360=1000 ; adjust:1000-2=998 ; sum=998 |
base_conversion | base_conversion:decomposition | n=189,base=16 | TERM:11*16^1=176 ; TERM:13*16^0=13 ; OUT:BD |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=30 | 3x+3=30 ; x+1=10 ; x=10-1 ; x=9 |
list_summation | list_summation:right-to-left | 9, 1, 0, 6 | 0+6=6 ; 1+6=7 ; 9+7=16 |
list_summation | list_summation:right-to-left | 7, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 7+18=25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 3, 7, 6 | [0,1,3,7,6] ; [0,1,3,7,6] ; [0,1,3,7,6] ; [0,1,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 871+785 | d2:1+5+0=6→w6,c0 ; d1:7+8+0=15→w5,c1 ; d0:8+7+1=16→w6,c1 ; sum=1656 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=96 | 8x+48=96 ; 8x=48 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 173+161 | d2:3+1+0=4→w4,c0 ; d1:7+6+0=13→w3,c1 ; d0:1+1+1=3→w3,c0 ; sum=334 |
multidigit_addition | multidigit_addition:rounding-decomposition | 944+925 | round:950+925=1875 ; adjust:1875-6=1869 ; sum=1869 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=88 | 8x+24=88 ; x+3=11 ; x=11-3 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=102 | 6x+54=102 ; x=(102-54)/6 ; x=48/6 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 3, 4, 2 | [6,7,3,4,2] ; [3,4,6,7,2] ; [2,3,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 565+732 | d2:5+2+0=7→w7,c0 ; d1:6+3+0=9→w9,c0 ; d0:5+7+0=12→w2,c1 ; sum=1297 |
list_summation | list_summation:pairwise | 8, 8, 0, 2 | 8+8=16 ; 0+2=2 ; 16+2=18 |
base_conversion | base_conversion:via-binary | n=127,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1111111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 6, 1, 0 | [4,6,7,1,0] ; [4,6,1,7,0] ; [4,6,1,0,7] ; [4,1,6,0,7] ; [4,1,0,6,7] ; [1,4,0,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
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) |
base_conversion | base_conversion:repeated-division | n=162,base=4 | DIV:162/4=40,r:2 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2202 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 2, 8, 7 | [1,4,2,8,7] ; [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,7,8] |
list_summation | list_summation:right-to-left | 6, 8, 2, 2 | 2+2=4 ; 8+4=12 ; 6+12=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 916+145 | round:920+145=1065 ; adjust:1065-4=1061 ; sum=1061 |
list_summation | list_summation:left-to-right | 3, 2, 8, 5 | 3+2=5 ; 5+8=13 ; 13+5=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=120,base=16 | TERM:7*16^1=112 ; TERM:8*16^0=8 ; OUT:78 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
list_summation | list_summation:right-to-left | 2, 2, 3, 5 | 3+5=8 ; 2+8=10 ; 2+10=12 |
list_summation | list_summation:left-to-right | 9, 9, 7, 4 | 9+9=18 ; 18+7=25 ; 25+4=29 |
multidigit_addition | multidigit_addition:left-to-right-partials | 985+458 | p100:900+400=1300 ; p10:80+50=130 ; p1:5+8=13 ; sum=1300+130+13=1443 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,1) | D:(2,0) ; D:(3,0) ; R:(3,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 246+680 | p100:200+600=800 ; p10:40+80=120 ; p1:6+0=6 ; sum=800+120+6=926 |
base_conversion | base_conversion:decomposition | n=236,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:4*8^0=4 ; OUT:354 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 0, 8, 4 | [1,6,0,8,4] ; [0,1,6,8,4] ; [0,1,4,6,8] |
list_summation | list_summation:pairwise | 0, 2, 5, 4 | 0+2=2 ; 5+4=9 ; 2+9=11 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 1, 0, 4 | [5,6,1,0,4] ; [1,5,6,0,4] ; [0,1,5,6,4] ; [0,1,4,5,6] |
list_summation | list_summation:left-to-right | 4, 0, 6, 1 | 4+0=4 ; 4+6=10 ; 10+1=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 3, 2, 4 | [9,0,3,2,4] ; [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] |
list_summation | list_summation:right-to-left | 1, 5, 4, 9 | 4+9=13 ; 5+13=18 ; 1+18=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=0 | 9x-45=0 ; 9x=45 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 721+909 | round:730+909=1639 ; adjust:1639-9=1630 ; sum=1630 |
multidigit_addition | multidigit_addition:rounding-decomposition | 988+140 | round:990+140=1130 ; adjust:1130-2=1128 ; sum=1128 |
list_summation | list_summation:right-to-left | 3, 9, 8, 9 | 8+9=17 ; 9+17=26 ; 3+26=29 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=0 | 2x+18=0 ; x=(0-18)/2 ; x=-18/2 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 6, 2, 9 | [1,3,2,6,9] ; [1,2,3,6,9] |
base_conversion | base_conversion:decomposition | n=221,base=16 | TERM:13*16^1=208 ; TERM:13*16^0=13 ; OUT:DD |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 5, 3, 4 | [1,8,5,3,4] ; [1,5,8,3,4] ; [1,3,5,8,4] ; [1,3,4,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=4 | 2x-10=4 ; x=(4--10)/2 ; x=14/2 ; x=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 6, 8, 2 | [7,9,6,8,2] ; [6,7,9,8,2] ; [6,7,8,9,2] ; [2,6,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 1, 9, 6, 0 | 1+9=10 ; 6+0=6 ; 10+6=16 |
list_summation | list_summation:right-to-left | 4, 2, 4, 7 | 4+7=11 ; 2+11=13 ; 4+13=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
list_summation | list_summation:right-to-left | 7, 8, 8, 9 | 8+9=17 ; 8+17=25 ; 7+25=32 |
list_summation | list_summation:right-to-left | 2, 7, 5, 9 | 5+9=14 ; 7+14=21 ; 2+21=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 9, 5, 3, 8 | 9+5=14 ; 3+8=11 ; 14+11=25 |
base_conversion | base_conversion:repeated-division | n=230,base=2 | DIV:230/2=115,r:0 ; DIV:115/2=57,r:1 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 3, 7, 5 | [2,7,3,0,5] ; [7,2,3,0,5] ; [7,5,3,0,2] ; [2,5,3,0,7] ; [5,2,3,0,7] ; [0,2,3,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7] |
list_summation | list_summation:pairwise | 5, 2, 6, 4 | 5+2=7 ; 6+4=10 ; 7+10=17 |
base_conversion | base_conversion:decomposition | n=82,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1102 |
base_conversion | base_conversion:decomposition | n=5,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:101 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 5, 2, 4 | [4,8,5,2,9] ; [8,4,5,2,9] ; [2,4,5,8,9] ; [5,4,2,8,9] ; [2,4,5,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9] |
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