task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 6, 6, 4, 6 | 6+6=12 ; 4+6=10 ; 12+10=22 |
base_conversion | base_conversion:repeated-division | n=118,base=8 | DIV:118/8=14,r:6 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:166 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 6, 1, 5 | [9,0,6,1,5] ; [9,5,6,1,0] ; [0,5,6,1,9] ; [6,5,0,1,9] ; [1,5,0,6,9] ; [5,1,0,6,9] ; [0,1,5,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=0 | 3x-27=0 ; x=(0--27)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-8 | 2x+0=-8 ; 2x=-8 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 6, 8, 4 | [9,7,6,8,4] ; [9,8,6,7,4] ; [4,8,6,7,9] ; [8,4,6,7,9] ; [8,7,6,4,9] ; [4,7,6,8,9] ; [7,4,6,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9] |
base_conversion | base_conversion:via-binary | n=135,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10000111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 626+539 | d2:6+9+0=15→w5,c1 ; d1:2+3+1=6→w6,c0 ; d0:6+5+0=11→w1,c1 ; sum=1165 |
base_conversion | base_conversion:via-binary | n=91,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:11 ; OUT:5B |
base_conversion | base_conversion:via-binary | n=228,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11100100 |
base_conversion | base_conversion:via-binary | n=114,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1302 |
list_summation | list_summation:left-to-right | 5, 3, 6, 2 | 5+3=8 ; 8+6=14 ; 14+2=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 724+504 | p100:700+500=1200 ; p10:20+0=20 ; p1:4+4=8 ; sum=1200+20+8=1228 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=50 | 5x+30=50 ; x+6=10 ; x=10-6 ; x=4 |
list_summation | list_summation:left-to-right | 0, 8, 6, 4 | 0+8=8 ; 8+6=14 ; 14+4=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=10 | 2x+6=10 ; 2x=4 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=4 | 4x+32=4 ; x=(4-32)/4 ; x=-28/4 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=-9 | 9x+36=-9 ; x+4=-1 ; x=-1-4 ; x=-5 |
base_conversion | base_conversion:via-binary | n=171,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10101011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-72 | 9x+0=-72 ; 9x=-72 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,1) | D:(4,0) ; R:(4,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-30 | 5x+5=-30 ; x=(-30-5)/5 ; x=-35/5 ; x=-7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 124+740 | p100:100+700=800 ; p10:20+40=60 ; p1:4+0=4 ; sum=800+60+4=864 |
multidigit_addition | multidigit_addition:right-to-left-carry | 964+271 | d2:4+1+0=5→w5,c0 ; d1:6+7+0=13→w3,c1 ; d0:9+2+1=12→w2,c1 ; sum=1235 |
list_summation | list_summation:left-to-right | 1, 7, 7, 6 | 1+7=8 ; 8+7=15 ; 15+6=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-68 | 4x-32=-68 ; 4x=-36 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 2, 7, 0, 3 | 2+7=9 ; 0+3=3 ; 9+3=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 2, 0, 8 | [4,9,2,0,8] ; [4,9,0,2,8] ; [0,2,4,9,8] ; [0,2,4,8,9] |
list_summation | list_summation:right-to-left | 5, 9, 5, 9 | 5+9=14 ; 9+14=23 ; 5+23=28 |
multidigit_addition | multidigit_addition:left-to-right-partials | 880+468 | p100:800+400=1200 ; p10:80+60=140 ; p1:0+8=8 ; sum=1200+140+8=1348 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 1, 4, 5 | [9,7,1,4,5] ; [5,7,1,4,9] ; [7,5,1,4,9] ; [4,5,1,7,9] ; [5,4,1,7,9] ; [1,4,5,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9] |
base_conversion | base_conversion:repeated-division | n=238,base=8 | DIV:238/8=29,r:6 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:356 |
list_summation | list_summation:right-to-left | 3, 3, 4, 8 | 4+8=12 ; 3+12=15 ; 3+15=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-15 | 5x-45=-15 ; 5x=30 ; x=6 |
list_summation | list_summation:left-to-right | 5, 2, 4, 3 | 5+2=7 ; 7+4=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 987+879 | round:990+879=1869 ; adjust:1869-3=1866 ; sum=1866 |
multidigit_addition | multidigit_addition:left-to-right-partials | 125+183 | p100:100+100=200 ; p10:20+80=100 ; p1:5+3=8 ; sum=200+100+8=308 |
list_summation | list_summation:pairwise | 2, 3, 3, 6 | 2+3=5 ; 3+6=9 ; 5+9=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+4=-8 | 2x+4=-8 ; x+2=-4 ; x=-4-2 ; x=-6 |
base_conversion | base_conversion:decomposition | n=48,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110000 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=21 | 3x+3=21 ; x+1=7 ; x=7-1 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 750+210 | p100:700+200=900 ; p10:50+10=60 ; p1:0+0=0 ; sum=900+60+0=960 |
list_summation | list_summation:pairwise | 3, 1, 2, 1 | 3+1=4 ; 2+1=3 ; 4+3=7 |
base_conversion | base_conversion:via-binary | n=194,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:302 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=50 | 5x+10=50 ; 5x=40 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+12=6 | 3x+12=6 ; 3x=-6 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=42 | 7x+28=42 ; 7x=14 ; x=2 |
list_summation | list_summation:pairwise | 6, 7, 0, 1 | 6+7=13 ; 0+1=1 ; 13+1=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 609+603 | p100:600+600=1200 ; p10:0+0=0 ; p1:9+3=12 ; sum=1200+0+12=1212 |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
base_conversion | base_conversion:via-binary | n=44,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:230 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=238,base=16 | TERM:14*16^1=224 ; TERM:14*16^0=14 ; OUT:EE |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=18 | 6x-30=18 ; 6x=48 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 351+483 | d2:1+3+0=4→w4,c0 ; d1:5+8+0=13→w3,c1 ; d0:3+4+1=8→w8,c0 ; sum=834 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 1, 5, 2 | [1,8,4,5,2] ; [1,2,4,5,8] ; [1,2,4,5,8] ; [1,2,4,5,8] |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
multidigit_addition | multidigit_addition:right-to-left-carry | 644+220 | d2:4+0+0=4→w4,c0 ; d1:4+2+0=6→w6,c0 ; d0:6+2+0=8→w8,c0 ; sum=864 |
base_conversion | base_conversion:via-binary | n=164,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:4 ; OUT:A4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+6=12 | 3x+6=12 ; x=(12-6)/3 ; x=6/3 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 775+474 | d2:5+4+0=9→w9,c0 ; d1:7+7+0=14→w4,c1 ; d0:7+4+1=12→w2,c1 ; sum=1249 |
multidigit_addition | multidigit_addition:right-to-left-carry | 435+408 | d2:5+8+0=13→w3,c1 ; d1:3+0+1=4→w4,c0 ; d0:4+4+0=8→w8,c0 ; sum=843 |
list_summation | list_summation:right-to-left | 5, 4, 1, 9 | 1+9=10 ; 4+10=14 ; 5+14=19 |
list_summation | list_summation:pairwise | 7, 7, 2, 2 | 7+7=14 ; 2+2=4 ; 14+4=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 232+893 | p100:200+800=1000 ; p10:30+90=120 ; p1:2+3=5 ; sum=1000+120+5=1125 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=16 | 8x+40=16 ; x=(16-40)/8 ; x=-24/8 ; x=-3 |
list_summation | list_summation:pairwise | 2, 9, 2, 7 | 2+9=11 ; 2+7=9 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 7, 8, 3 | [1,2,7,8,3] ; [1,2,7,8,3] ; [1,2,3,8,7] ; [1,2,3,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=255,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3333 |
multidigit_addition | multidigit_addition:left-to-right-partials | 985+782 | p100:900+700=1600 ; p10:80+80=160 ; p1:5+2=7 ; sum=1600+160+7=1767 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 3, 4, 6 | [5,3,7,4,6] ; [5,3,4,7,6] ; [5,3,4,6,7] ; [3,5,4,6,7] ; [3,4,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 350+563 | p100:300+500=800 ; p10:50+60=110 ; p1:0+3=3 ; sum=800+110+3=913 |
base_conversion | base_conversion:repeated-division | n=15,base=16 | DIV:15/16=0,r:15 ; OUT:F |
multidigit_addition | multidigit_addition:right-to-left-carry | 480+397 | d2:0+7+0=7→w7,c0 ; d1:8+9+0=17→w7,c1 ; d0:4+3+1=8→w8,c0 ; sum=877 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(2,2) | R:(1,1) ; D:(2,1) ; R:(2,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=-27 | 9x+27=-27 ; 9x=-54 ; x=-6 |
list_summation | list_summation:right-to-left | 1, 2, 0, 6 | 0+6=6 ; 2+6=8 ; 1+8=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 2, 4, 6, 4 | 2+4=6 ; 6+6=12 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 6, 3, 8 | [2,9,6,3,8] ; [2,6,9,3,8] ; [2,3,6,9,8] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 9, 2, 3 | [6,7,2,9,3] ; [6,7,2,3,9] ; [6,2,7,3,9] ; [6,2,3,7,9] ; [2,6,3,7,9] ; [2,3,6,7,9] |
base_conversion | base_conversion:via-binary | n=239,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:357 |
list_summation | list_summation:pairwise | 8, 1, 1, 7 | 8+1=9 ; 1+7=8 ; 9+8=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 826+469 | d2:6+9+0=15→w5,c1 ; d1:2+6+1=9→w9,c0 ; d0:8+4+0=12→w2,c1 ; sum=1295 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
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