task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 3, 8, 3, 9 | 3+8=11 ; 11+3=14 ; 14+9=23 |
base_conversion | base_conversion:via-binary | n=123,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:11 ; OUT:7B |
multidigit_addition | multidigit_addition:right-to-left-carry | 360+255 | d2:0+5+0=5→w5,c0 ; d1:6+5+0=11→w1,c1 ; d0:3+2+1=6→w6,c0 ; sum=615 |
base_conversion | base_conversion:via-binary | n=39,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:213 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 4, 7, 3 | [1,8,4,7,3] ; [1,4,8,7,3] ; [1,4,7,8,3] ; [1,3,4,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 3, 9, 4 | [7,9,3,2,4] ; [9,7,3,2,4] ; [4,7,3,2,9] ; [7,4,3,2,9] ; [2,4,3,7,9] ; [4,2,3,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=75 | 5x+40=75 ; x=(75-40)/5 ; x=35/5 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=0 | 6x+48=0 ; x+8=0 ; x=0-8 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 9, 8, 5 | [0,7,9,8,5] ; [0,7,8,9,5] ; [0,7,8,5,9] ; [0,7,5,8,9] ; [0,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=-4 | 4x-24=-4 ; x+-6=-1 ; x=-1--6 ; x=5 |
base_conversion | base_conversion:repeated-division | n=45,base=16 | DIV:45/16=2,r:13 ; DIV:2/16=0,r:2 ; OUT:2D |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=20,base=16 | DIV:20/16=1,r:4 ; DIV:1/16=0,r:1 ; OUT:14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 144+349 | round:150+349=499 ; adjust:499-6=493 ; sum=493 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:repeated-division | n=163,base=4 | DIV:163/4=40,r:3 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2203 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,4) | D:(3,0) ; 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 | 0, 0, 8, 3 | 8+3=11 ; 0+11=11 ; 0+11=11 |
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 | 703+706 | round:710+706=1416 ; adjust:1416-7=1409 ; sum=1409 |
multidigit_addition | multidigit_addition:right-to-left-carry | 817+767 | d2:7+7+0=14→w4,c1 ; d1:1+6+1=8→w8,c0 ; d0:8+7+0=15→w5,c1 ; sum=1584 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 9, 6, 5 | [1,6,9,3,5] ; [9,6,1,3,5] ; [5,6,1,3,9] ; [6,5,1,3,9] ; [3,5,1,6,9] ; [5,3,1,6,9] ; [1,3,5,6,9] ; [3,1,5,6,9] ; [1,3,5,6,9] |
list_summation | list_summation:pairwise | 1, 9, 2, 7 | 1+9=10 ; 2+7=9 ; 10+9=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 393+839 | d2:3+9+0=12→w2,c1 ; d1:9+3+1=13→w3,c1 ; d0:3+8+1=12→w2,c1 ; sum=1232 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=25,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:1 ; OUT:31 |
multidigit_addition | multidigit_addition:rounding-decomposition | 935+374 | round:940+374=1314 ; adjust:1314-5=1309 ; sum=1309 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=8 | 4x-12=8 ; x=(8--12)/4 ; x=20/4 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=0 | 9x-45=0 ; x=(0--45)/9 ; x=45/9 ; x=5 |
list_summation | list_summation:pairwise | 2, 6, 5, 3 | 2+6=8 ; 5+3=8 ; 8+8=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 3, 2, 5 | [7,8,3,2,5] ; [3,7,8,2,5] ; [2,3,7,8,5] ; [2,3,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 6, 1, 7 | [4,9,1,6,7] ; [1,4,6,9,7] ; [1,4,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-8 | 4x-28=-8 ; 4x=20 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 7, 9, 2 | [1,3,7,9,2] ; [1,2,3,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=193,base=16 | TERM:12*16^1=192 ; TERM:1*16^0=1 ; OUT:C1 |
base_conversion | base_conversion:repeated-division | n=243,base=16 | DIV:243/16=15,r:3 ; DIV:15/16=0,r:15 ; OUT:F3 |
base_conversion | base_conversion:via-binary | n=149,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10010101 |
list_summation | list_summation:pairwise | 7, 5, 5, 9 | 7+5=12 ; 5+9=14 ; 12+14=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 8, 6, 4 | [2,5,6,8,4] ; [2,5,6,4,8] ; [2,5,4,6,8] ; [2,4,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 8, 9, 6 | [2,5,8,9,6] ; [2,5,8,9,6] ; [2,5,8,9,6] ; [2,5,6,8,9] |
list_summation | list_summation:right-to-left | 1, 6, 1, 4 | 1+4=5 ; 6+5=11 ; 1+11=12 |
list_summation | list_summation:right-to-left | 4, 8, 7, 8 | 7+8=15 ; 8+15=23 ; 4+23=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 734+565 | round:740+565=1305 ; adjust:1305-6=1299 ; sum=1299 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 8, 1, 2 | [8,3,6,1,2] ; [2,3,6,1,8] ; [6,3,2,1,8] ; [1,3,2,6,8] ; [3,1,2,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
list_summation | list_summation:pairwise | 2, 9, 3, 9 | 2+9=11 ; 3+9=12 ; 11+12=23 |
base_conversion | base_conversion:repeated-division | n=106,base=8 | DIV:106/8=13,r:2 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:152 |
multidigit_addition | multidigit_addition:left-to-right-partials | 532+429 | p100:500+400=900 ; p10:30+20=50 ; p1:2+9=11 ; sum=900+50+11=961 |
multidigit_addition | multidigit_addition:left-to-right-partials | 358+109 | p100:300+100=400 ; p10:50+0=50 ; p1:8+9=17 ; sum=400+50+17=467 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 4, 9, 1 | [0,2,4,9,1] ; [0,1,4,9,2] ; [0,1,2,9,4] ; [0,1,2,4,9] |
list_summation | list_summation:pairwise | 5, 5, 0, 7 | 5+5=10 ; 0+7=7 ; 10+7=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 8, 0, 7 | [5,7,8,0,3] ; [8,7,5,0,3] ; [3,7,5,0,8] ; [7,3,5,0,8] ; [0,3,5,7,8] ; [5,3,0,7,8] ; [0,3,5,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 491+186 | p100:400+100=500 ; p10:90+80=170 ; p1:1+6=7 ; sum=500+170+7=677 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=254,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:14 ; OUT:FE |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=25 | 5x+15=25 ; 5x=10 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 691+637 | p100:600+600=1200 ; p10:90+30=120 ; p1:1+7=8 ; sum=1200+120+8=1328 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 2, 4, 7 | [8,7,2,4,1] ; [1,7,2,4,8] ; [7,1,2,4,8] ; [7,4,2,1,8] ; [1,4,2,7,8] ; [4,1,2,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=12 | 6x+54=12 ; x=(12-54)/6 ; x=-42/6 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 713+662 | d2:3+2+0=5→w5,c0 ; d1:1+6+0=7→w7,c0 ; d0:7+6+0=13→w3,c1 ; sum=1375 |
base_conversion | base_conversion:decomposition | n=25,base=8 | TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:31 |
multidigit_addition | multidigit_addition:right-to-left-carry | 436+384 | d2:6+4+0=10→w0,c1 ; d1:3+8+1=12→w2,c1 ; d0:4+3+1=8→w8,c0 ; sum=820 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=0 | 2x+16=0 ; x+8=0 ; x=0-8 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=30 | 3x+9=30 ; x+3=10 ; x=10-3 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 4, 7, 5 | [1,3,4,5,7] |
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=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
list_summation | list_summation:left-to-right | 0, 8, 5, 4 | 0+8=8 ; 8+5=13 ; 13+4=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 6, 8, 3 | [1,2,6,8,3] ; [1,2,6,8,3] ; [1,2,3,8,6] ; [1,2,3,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 656+707 | round:660+707=1367 ; adjust:1367-4=1363 ; sum=1363 |
multidigit_addition | multidigit_addition:right-to-left-carry | 424+814 | d2:4+4+0=8→w8,c0 ; d1:2+1+0=3→w3,c0 ; d0:4+8+0=12→w2,c1 ; sum=1238 |
list_summation | list_summation:right-to-left | 5, 5, 1, 5 | 1+5=6 ; 5+6=11 ; 5+11=16 |
base_conversion | base_conversion:via-binary | n=130,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:2 ; OUT:82 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-36 | 9x-18=-36 ; 9x=-18 ; x=-2 |
base_conversion | base_conversion:decomposition | n=238,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:6*8^0=6 ; OUT:356 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=81 | 9x+54=81 ; x+6=9 ; x=9-6 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 174+474 | round:180+474=654 ; adjust:654-6=648 ; sum=648 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 2, 9, 0 | [3,5,2,9,0] ; [2,3,5,9,0] ; [0,2,3,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 7, 2, 0 | [4,6,2,7,0] ; [2,4,6,7,0] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 0, 7, 5 | [4,0,9,7,5] ; [4,0,7,9,5] ; [4,0,7,5,9] ; [0,4,7,5,9] ; [0,4,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:decomposition | n=31,base=2 | 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:11111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 980+219 | p100:900+200=1100 ; p10:80+10=90 ; p1:0+9=9 ; sum=1100+90+9=1199 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 5, 7, 3 | [2,8,5,7,3] ; [2,5,8,7,3] ; [2,5,7,8,3] ; [2,3,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,2) | D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,4) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=-35 | 7x-7=-35 ; x=(-35--7)/7 ; x=-28/7 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=183,base=16 | DIV:183/16=11,r:7 ; DIV:11/16=0,r:11 ; OUT:B7 |
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