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 | 2, 9, 4, 0, 5 | [0,9,4,2,5] ; [0,2,4,9,5] ; [0,2,4,9,5] ; [0,2,4,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 9, 4, 8 | [6,8,9,4,0] ; [9,8,6,4,0] ; [0,8,6,4,9] ; [8,0,6,4,9] ; [8,4,6,0,9] ; [0,4,6,8,9] ; [6,4,0,8,9] ; [0,4,6,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 4, 3, 0 | [1,5,4,3,0] ; [1,4,5,3,0] ; [1,3,4,5,0] ; [0,1,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=-24 | 8x+16=-24 ; x+2=-3 ; x=-3-2 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 6, 8, 3 | [0,9,6,8,3] ; [0,6,9,8,3] ; [0,6,8,9,3] ; [0,6,8,3,9] ; [0,6,3,8,9] ; [0,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 8, 0, 5 | [5,6,8,0,9] ; [8,6,5,0,9] ; [0,6,5,8,9] ; [6,0,5,8,9] ; [5,0,6,8,9] ; [0,5,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=0 | 4x-12=0 ; 4x=12 ; x=3 |
list_summation | list_summation:right-to-left | 8, 4, 5, 5 | 5+5=10 ; 4+10=14 ; 8+14=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-36=-9 | 9x-36=-9 ; 9x=27 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 2, 3, 0 | [4,6,2,3,0] ; [4,2,6,3,0] ; [4,2,3,6,0] ; [4,2,3,0,6] ; [2,4,3,0,6] ; [2,3,4,0,6] ; [2,3,0,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6] |
list_summation | list_summation:pairwise | 8, 6, 2, 5 | 8+6=14 ; 2+5=7 ; 14+7=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+18=27 | 3x+18=27 ; x=(27-18)/3 ; x=9/3 ; x=3 |
base_conversion | base_conversion:repeated-division | n=98,base=2 | DIV:98/2=49,r:0 ; DIV:49/2=24,r:1 ; 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:1100010 |
list_summation | list_summation:right-to-left | 7, 6, 9, 5 | 9+5=14 ; 6+14=20 ; 7+20=27 |
base_conversion | base_conversion:repeated-division | n=59,base=16 | DIV:59/16=3,r:11 ; DIV:3/16=0,r:3 ; OUT:3B |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=-4 | 4x+24=-4 ; x+6=-1 ; x=-1-6 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
base_conversion | base_conversion:decomposition | n=109,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1231 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=70 | 7x+7=70 ; x+1=10 ; x=10-1 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=18 | 3x+0=18 ; 3x=18 ; x=6 |
base_conversion | base_conversion:repeated-division | n=245,base=4 | DIV:245/4=61,r:1 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3311 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 724+576 | round:730+576=1306 ; adjust:1306-6=1300 ; sum=1300 |
list_summation | list_summation:left-to-right | 2, 9, 9, 2 | 2+9=11 ; 11+9=20 ; 20+2=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 2, 6, 9 | [7,8,2,6,9] ; [7,2,8,6,9] ; [7,2,6,8,9] ; [2,7,6,8,9] ; [2,6,7,8,9] |
list_summation | list_summation:left-to-right | 5, 2, 1, 8 | 5+2=7 ; 7+1=8 ; 8+8=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 484+523 | round:490+523=1013 ; adjust:1013-6=1007 ; sum=1007 |
multidigit_addition | multidigit_addition:right-to-left-carry | 878+440 | d2:8+0+0=8→w8,c0 ; d1:7+4+0=11→w1,c1 ; d0:8+4+1=13→w3,c1 ; sum=1318 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-64 | 8x-24=-64 ; x=(-64--24)/8 ; x=-40/8 ; x=-5 |
base_conversion | base_conversion:decomposition | n=142,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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10001110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 949+724 | p100:900+700=1600 ; p10:40+20=60 ; p1:9+4=13 ; sum=1600+60+13=1673 |
multidigit_addition | multidigit_addition:right-to-left-carry | 747+554 | d2:7+4+0=11→w1,c1 ; d1:4+5+1=10→w0,c1 ; d0:7+5+1=13→w3,c1 ; sum=1301 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 5, 1, 8 | [4,6,5,1,8] ; [4,5,6,1,8] ; [1,4,5,6,8] ; [1,4,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,4) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+40=48 | 8x+40=48 ; x+5=6 ; x=6-5 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 3, 0, 5 | [1,6,3,0,5] ; [1,3,6,0,5] ; [0,1,3,6,5] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 7, 6, 4 | [5,6,7,0,4] ; [7,6,5,0,4] ; [4,6,5,0,7] ; [6,4,5,0,7] ; [0,4,5,6,7] ; [5,4,0,6,7] ; [0,4,5,6,7] ; [4,0,5,6,7] ; [0,4,5,6,7] |
base_conversion | base_conversion:repeated-division | n=216,base=16 | DIV:216/16=13,r:8 ; DIV:13/16=0,r:13 ; OUT:D8 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 8, 5, 9 | [6,9,8,5,3] ; [9,6,8,5,3] ; [3,6,8,5,9] ; [8,6,3,5,9] ; [5,6,3,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 2, 1, 8, 3 | [0,1,2,8,3] ; [0,1,2,3,8] |
list_summation | list_summation:right-to-left | 5, 6, 3, 4 | 3+4=7 ; 6+7=13 ; 5+13=18 |
base_conversion | base_conversion:repeated-division | n=154,base=4 | DIV:154/4=38,r:2 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2122 |
multidigit_addition | multidigit_addition:left-to-right-partials | 514+993 | p100:500+900=1400 ; p10:10+90=100 ; p1:4+3=7 ; sum=1400+100+7=1507 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-39 | 3x-21=-39 ; x+-7=-13 ; x=-13--7 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 5, 0, 2 | [1,4,0,5,2] ; [1,4,0,2,5] ; [1,0,4,2,5] ; [1,0,2,4,5] ; [0,1,2,4,5] |
multidigit_addition | multidigit_addition:right-to-left-carry | 281+852 | d2:1+2+0=3→w3,c0 ; d1:8+5+0=13→w3,c1 ; d0:2+8+1=11→w1,c1 ; sum=1133 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 1, 1, 6, 8 | 1+1=2 ; 6+8=14 ; 2+14=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 5, 1, 3 | [2,9,5,1,3] ; [2,9,1,5,3] ; [1,2,5,9,3] ; [1,2,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-2=-8 | 2x-2=-8 ; x+-1=-4 ; x=-4--1 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-24 | 2x-16=-24 ; x=(-24--16)/2 ; x=-8/2 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=2 | 2x-14=2 ; x=(2--14)/2 ; x=16/2 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 2, 0, 4 | [6,7,2,0,4] ; [2,6,7,0,4] ; [0,2,6,7,4] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 0, 4, 5 | [0,9,8,4,5] ; [0,4,8,9,5] ; [0,4,5,9,8] ; [0,4,5,8,9] |
list_summation | list_summation:right-to-left | 8, 8, 8, 4 | 8+4=12 ; 8+12=20 ; 8+20=28 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 243+609 | round:250+609=859 ; adjust:859-7=852 ; sum=852 |
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=145,base=16 | DIV:145/16=9,r:1 ; DIV:9/16=0,r:9 ; OUT:91 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 3, 1, 4 | [2,8,3,1,4] ; [2,3,8,1,4] ; [1,2,3,8,4] ; [1,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=112,base=2 | TERM:1*2^6=64 ; 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:1110000 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 3, 8, 1 | [5,3,6,8,1] ; [5,3,6,1,8] ; [3,5,6,1,8] ; [3,5,1,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,2) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 347+994 | round:350+994=1344 ; adjust:1344-3=1341 ; sum=1341 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=4 | 4x+12=4 ; x+3=1 ; x=1-3 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=55 | 5x+45=55 ; 5x=10 ; x=2 |
base_conversion | base_conversion:repeated-division | n=253,base=4 | DIV:253/4=63,r:1 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3331 |
base_conversion | base_conversion:via-binary | n=68,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1000100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-49 | 7x-49=-49 ; x+-7=-7 ; x=-7--7 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 2, 9, 0 | [0,8,2,9,5] ; [0,2,8,9,5] ; [0,2,5,9,8] ; [0,2,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 102+357 | p100:100+300=400 ; p10:0+50=50 ; p1:2+7=9 ; sum=400+50+9=459 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 0, 8, 1 | [0,2,7,8,1] ; [0,1,7,8,2] ; [0,1,2,8,7] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 5, 0, 1 | [2,8,5,0,1] ; [2,5,8,0,1] ; [0,2,5,8,1] ; [0,1,2,5,8] |
list_summation | list_summation:pairwise | 1, 6, 6, 9 | 1+6=7 ; 6+9=15 ; 7+15=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=44 | 4x+20=44 ; 4x=24 ; x=6 |
base_conversion | base_conversion:repeated-division | n=75,base=4 | DIV:75/4=18,r:3 ; DIV:18/4=4,r:2 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1023 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=10 | 2x-6=10 ; 2x=16 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 8, 2, 3 | [9,3,8,2,1] ; [1,3,8,2,9] ; [8,3,1,2,9] ; [2,3,1,8,9] ; [3,2,1,8,9] ; [1,2,3,8,9] ; [2,1,3,8,9] ; [1,2,3,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 401+864 | p100:400+800=1200 ; p10:0+60=60 ; p1:1+4=5 ; sum=1200+60+5=1265 |
list_summation | list_summation:right-to-left | 4, 8, 0, 9 | 0+9=9 ; 8+9=17 ; 4+17=21 |
list_summation | list_summation:left-to-right | 8, 0, 2, 6 | 8+0=8 ; 8+2=10 ; 10+6=16 |
base_conversion | base_conversion:repeated-division | n=139,base=8 | DIV:139/8=17,r:3 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:213 |
multidigit_addition | multidigit_addition:right-to-left-carry | 705+480 | d2:5+0+0=5→w5,c0 ; d1:0+8+0=8→w8,c0 ; d0:7+4+0=11→w1,c1 ; sum=1185 |
base_conversion | base_conversion:repeated-division | n=211,base=16 | DIV:211/16=13,r:3 ; DIV:13/16=0,r:13 ; OUT:D3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 200+322 | p100:200+300=500 ; p10:0+20=20 ; p1:0+2=2 ; sum=500+20+2=522 |
base_conversion | base_conversion:repeated-division | n=189,base=8 | DIV:189/8=23,r:5 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:275 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 4, 3, 5 | [1,8,4,3,5] ; [1,8,3,4,5] ; [1,3,4,8,5] ; [1,3,4,5,8] |
list_summation | list_summation:pairwise | 4, 9, 5, 9 | 4+9=13 ; 5+9=14 ; 13+14=27 |
base_conversion | base_conversion:decomposition | n=127,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111111 |
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