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 | 5, 8, 7, 3, 6 | [3,8,7,5,6] ; [3,5,7,8,6] ; [3,5,6,8,7] ; [3,5,6,7,8] |
list_summation | list_summation:left-to-right | 2, 3, 7, 6 | 2+3=5 ; 5+7=12 ; 12+6=18 |
list_summation | list_summation:right-to-left | 0, 6, 1, 1 | 1+1=2 ; 6+2=8 ; 0+8=8 |
base_conversion | base_conversion:decomposition | n=93,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:5*8^0=5 ; OUT:135 |
list_summation | list_summation:right-to-left | 6, 6, 6, 1 | 6+1=7 ; 6+7=13 ; 6+13=19 |
base_conversion | base_conversion:decomposition | n=5,base=4 | TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:11 |
base_conversion | base_conversion:repeated-division | n=149,base=2 | DIV:149/2=74,r:1 ; DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; 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:10010101 |
list_summation | list_summation:left-to-right | 1, 6, 9, 5 | 1+6=7 ; 7+9=16 ; 16+5=21 |
list_summation | list_summation:left-to-right | 5, 9, 2, 2 | 5+9=14 ; 14+2=16 ; 16+2=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 6, 5, 2 | [2,8,6,5,9] ; [2,5,6,8,9] ; [2,5,6,8,9] ; [2,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 7, 1, 5 | [2,9,7,1,5] ; [2,7,9,1,5] ; [1,2,7,9,5] ; [1,2,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 857+618 | round:860+618=1478 ; adjust:1478-3=1475 ; sum=1475 |
base_conversion | base_conversion:repeated-division | n=57,base=2 | 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:111001 |
base_conversion | base_conversion:repeated-division | n=77,base=2 | DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; 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:1001101 |
base_conversion | base_conversion:repeated-division | n=252,base=16 | DIV:252/16=15,r:12 ; DIV:15/16=0,r:15 ; OUT:FC |
multidigit_addition | multidigit_addition:right-to-left-carry | 460+826 | d2:0+6+0=6→w6,c0 ; d1:6+2+0=8→w8,c0 ; d0:4+8+0=12→w2,c1 ; sum=1286 |
list_summation | list_summation:left-to-right | 6, 1, 4, 3 | 6+1=7 ; 7+4=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 861+993 | d2:1+3+0=4→w4,c0 ; d1:6+9+0=15→w5,c1 ; d0:8+9+1=18→w8,c1 ; sum=1854 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-24 | 8x-72=-24 ; x=(-24--72)/8 ; x=48/8 ; x=6 |
list_summation | list_summation:left-to-right | 5, 2, 9, 5 | 5+2=7 ; 7+9=16 ; 16+5=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,4) | D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
list_summation | list_summation:left-to-right | 2, 1, 0, 0 | 2+1=3 ; 3+0=3 ; 3+0=3 |
base_conversion | base_conversion:via-binary | n=211,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3103 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=33 | 3x+12=33 ; x=(33-12)/3 ; x=21/3 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 2, 5, 8 | [3,2,6,5,8] ; [3,2,5,6,8] ; [2,3,5,6,8] |
list_summation | list_summation:pairwise | 9, 5, 9, 3 | 9+5=14 ; 9+3=12 ; 14+12=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-21 | 7x-14=-21 ; x=(-21--14)/7 ; x=-7/7 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 5, 3, 7 | [4,9,5,3,7] ; [4,5,9,3,7] ; [3,4,5,9,7] ; [3,4,5,7,9] |
base_conversion | base_conversion:repeated-division | n=153,base=16 | DIV:153/16=9,r:9 ; DIV:9/16=0,r:9 ; OUT:99 |
multidigit_addition | multidigit_addition:rounding-decomposition | 121+138 | round:130+138=268 ; adjust:268-9=259 ; sum=259 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-117 | 9x-63=-117 ; x+-7=-13 ; x=-13--7 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-9 | 3x-21=-9 ; 3x=12 ; x=4 |
list_summation | list_summation:right-to-left | 0, 2, 9, 9 | 9+9=18 ; 2+18=20 ; 0+20=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 4, 9, 8 | [0,6,4,9,8] ; [0,4,6,9,8] ; [0,4,6,8,9] |
list_summation | list_summation:right-to-left | 2, 9, 7, 7 | 7+7=14 ; 9+14=23 ; 2+23=25 |
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:subtract-then-divide | 2x-10=-24 | 2x-10=-24 ; 2x=-14 ; x=-7 |
list_summation | list_summation:left-to-right | 5, 4, 7, 9 | 5+4=9 ; 9+7=16 ; 16+9=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 882+520 | p100:800+500=1300 ; p10:80+20=100 ; p1:2+0=2 ; sum=1300+100+2=1402 |
multidigit_addition | multidigit_addition:rounding-decomposition | 471+246 | round:480+246=726 ; adjust:726-9=717 ; sum=717 |
multidigit_addition | multidigit_addition:right-to-left-carry | 452+906 | d2:2+6+0=8→w8,c0 ; d1:5+0+0=5→w5,c0 ; d0:4+9+0=13→w3,c1 ; sum=1358 |
base_conversion | base_conversion:repeated-division | n=248,base=4 | DIV:248/4=62,r:0 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3320 |
list_summation | list_summation:right-to-left | 0, 0, 6, 7 | 6+7=13 ; 0+13=13 ; 0+13=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=34 | 2x+18=34 ; x+9=17 ; x=17-9 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 759+842 | round:760+842=1602 ; adjust:1602-1=1601 ; sum=1601 |
list_summation | list_summation:right-to-left | 1, 3, 7, 1 | 7+1=8 ; 3+8=11 ; 1+11=12 |
list_summation | list_summation:pairwise | 7, 9, 6, 8 | 7+9=16 ; 6+8=14 ; 16+14=30 |
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 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
list_summation | list_summation:left-to-right | 0, 1, 8, 6 | 0+1=1 ; 1+8=9 ; 9+6=15 |
base_conversion | base_conversion:repeated-division | n=25,base=2 | DIV:25/2=12,r:1 ; 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:11001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 8, 9, 7 | [0,6,8,9,7] ; [0,6,8,7,9] ; [0,6,7,8,9] |
list_summation | list_summation:left-to-right | 9, 0, 4, 6 | 9+0=9 ; 9+4=13 ; 13+6=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 506+775 | d2:6+5+0=11→w1,c1 ; d1:0+7+1=8→w8,c0 ; d0:5+7+0=12→w2,c1 ; sum=1281 |
multidigit_addition | multidigit_addition:rounding-decomposition | 173+361 | round:180+361=541 ; adjust:541-7=534 ; sum=534 |
base_conversion | base_conversion:via-binary | n=110,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:6 ; OUT:156 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 9, 1, 2 | [7,8,9,1,2] ; [7,8,9,1,2] ; [1,7,8,9,2] ; [1,2,7,8,9] |
list_summation | list_summation:right-to-left | 4, 2, 8, 8 | 8+8=16 ; 2+16=18 ; 4+18=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=4 | 4x-20=4 ; x+-5=1 ; x=1--5 ; x=6 |
base_conversion | base_conversion:via-binary | n=210,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:322 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 7, 1, 2 | [5,8,7,1,2] ; [5,7,8,1,2] ; [1,5,7,8,2] ; [1,2,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 2, 3, 0 | [1,4,2,3,0] ; [1,2,4,3,0] ; [1,2,3,4,0] ; [0,1,2,3,4] |
multidigit_addition | multidigit_addition:rounding-decomposition | 138+460 | round:140+460=600 ; adjust:600-2=598 ; sum=598 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-52 | 4x-16=-52 ; x=(-52--16)/4 ; x=-36/4 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=10 | 5x-10=10 ; 5x=20 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 967+979 | d2:7+9+0=16→w6,c1 ; d1:6+7+1=14→w4,c1 ; d0:9+9+1=19→w9,c1 ; sum=1946 |
base_conversion | base_conversion:repeated-division | n=4,base=2 | DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=134,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:206 |
base_conversion | base_conversion:repeated-division | n=29,base=8 | DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:35 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=236,base=16 | TERM:14*16^1=224 ; TERM:12*16^0=12 ; OUT:EC |
multidigit_addition | multidigit_addition:rounding-decomposition | 142+773 | round:150+773=923 ; adjust:923-8=915 ; sum=915 |
base_conversion | base_conversion:decomposition | n=16,base=16 | TERM:1*16^1=16 ; TERM:0*16^0=0 ; OUT:10 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 3, 7, 4 | [1,5,3,7,4] ; [1,3,5,7,4] ; [1,3,4,5,7] |
base_conversion | base_conversion:repeated-division | n=76,base=4 | DIV:76/4=19,r:0 ; DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1030 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 2, 1, 4 | [3,6,2,1,4] ; [3,2,6,1,4] ; [3,2,1,6,4] ; [3,2,1,4,6] ; [2,3,1,4,6] ; [2,1,3,4,6] ; [1,2,3,4,6] |
base_conversion | base_conversion:decomposition | n=85,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:125 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 1, 9, 6 | [1,4,2,9,6] ; [1,2,4,9,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
base_conversion | base_conversion:via-binary | n=21,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 844+565 | p100:800+500=1300 ; p10:40+60=100 ; p1:4+5=9 ; sum=1300+100+9=1409 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 7, 5, 0 | [1,5,7,3,0] ; [7,5,1,3,0] ; [0,5,1,3,7] ; [5,0,1,3,7] ; [5,3,1,0,7] ; [0,3,1,5,7] ; [3,0,1,5,7] ; [1,0,3,5,7] ; [0,1,3,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-35 | 5x-15=-35 ; x+-3=-7 ; x=-7--3 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+42=70 | 7x+42=70 ; x=(70-42)/7 ; x=28/7 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,3) | D:(2,1) ; R:(2,2) ; R:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 554+365 | p100:500+300=800 ; p10:50+60=110 ; p1:4+5=9 ; sum=800+110+9=919 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 9, 0, 8 | [5,8,9,0,3] ; [9,8,5,0,3] ; [3,8,5,0,9] ; [8,3,5,0,9] ; [0,3,5,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=34,base=8 | TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:42 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 1, 0, 9, 4 | 9+4=13 ; 0+13=13 ; 1+13=14 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 1, 7, 0 | [0,9,1,7,8] ; [0,1,9,7,8] ; [0,1,7,9,8] ; [0,1,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=25 | 5x-5=25 ; x=(25--5)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:via-binary | n=253,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3331 |
multidigit_addition | multidigit_addition:rounding-decomposition | 877+437 | round:880+437=1317 ; adjust:1317-3=1314 ; sum=1314 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 0, 8, 1, 6 | [4,6,8,1,0] ; [8,6,4,1,0] ; [0,6,4,1,8] ; [6,0,4,1,8] ; [6,1,4,0,8] ; [0,1,4,6,8] ; [4,1,0,6,8] ; [0,1,4,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
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