task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 626+572 | round:630+572=1202 ; adjust:1202-4=1198 ; sum=1198 |
list_summation | list_summation:right-to-left | 0, 3, 9, 9 | 9+9=18 ; 3+18=21 ; 0+21=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 278+885 | round:280+885=1165 ; adjust:1165-2=1163 ; sum=1163 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+48=-24 | 8x+48=-24 ; x=(-24-48)/8 ; x=-72/8 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 913+916 | p100:900+900=1800 ; p10:10+10=20 ; p1:3+6=9 ; sum=1800+20+9=1829 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 2, 3, 0 | [0,5,2,3,9] ; [0,2,5,3,9] ; [0,2,3,5,9] ; [0,2,3,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 940+416 | p100:900+400=1300 ; p10:40+10=50 ; p1:0+6=6 ; sum=1300+50+6=1356 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=27 | 9x-18=27 ; x=(27--18)/9 ; x=45/9 ; x=5 |
list_summation | list_summation:pairwise | 1, 8, 3, 7 | 1+8=9 ; 3+7=10 ; 9+10=19 |
list_summation | list_summation:left-to-right | 1, 9, 2, 8 | 1+9=10 ; 10+2=12 ; 12+8=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 9, 7, 3 | [0,4,9,7,3] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 6, 8, 5, 5 | 6+8=14 ; 14+5=19 ; 19+5=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 317+555 | round:320+555=875 ; adjust:875-3=872 ; sum=872 |
multidigit_addition | multidigit_addition:right-to-left-carry | 570+364 | d2:0+4+0=4→w4,c0 ; d1:7+6+0=13→w3,c1 ; d0:5+3+1=9→w9,c0 ; sum=934 |
base_conversion | base_conversion:via-binary | n=132,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:4 ; OUT:204 |
list_summation | list_summation:pairwise | 0, 2, 0, 2 | 0+2=2 ; 0+2=2 ; 2+2=4 |
list_summation | list_summation:right-to-left | 4, 2, 3, 5 | 3+5=8 ; 2+8=10 ; 4+10=14 |
base_conversion | base_conversion:via-binary | n=103,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1213 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 3, 6, 4 | [3,5,7,6,4] ; [3,4,7,6,5] ; [3,4,5,6,7] ; [3,4,5,6,7] |
list_summation | list_summation:right-to-left | 6, 6, 4, 8 | 4+8=12 ; 6+12=18 ; 6+18=24 |
base_conversion | base_conversion:repeated-division | n=79,base=8 | DIV:79/8=9,r:7 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:117 |
base_conversion | base_conversion:decomposition | n=155,base=16 | TERM:9*16^1=144 ; TERM:11*16^0=11 ; OUT:9B |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 7, 9, 0 | [3,9,7,5,0] ; [9,3,7,5,0] ; [9,5,7,3,0] ; [0,5,7,3,9] ; [7,5,0,3,9] ; [3,5,0,7,9] ; [5,3,0,7,9] ; [0,3,5,7,9] ; [3,0,5,7,9] ; [0,3,5,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 7, 4, 6 | [1,2,7,4,6] ; [1,2,4,7,6] ; [1,2,4,6,7] |
list_summation | list_summation:right-to-left | 3, 8, 4, 2 | 4+2=6 ; 8+6=14 ; 3+14=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 259+954 | round:260+954=1214 ; adjust:1214-1=1213 ; sum=1213 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 7, 5, 4 | [2,5,7,3,4] ; [7,5,2,3,4] ; [4,5,2,3,7] ; [5,4,2,3,7] ; [3,4,2,5,7] ; [4,3,2,5,7] ; [2,3,4,5,7] ; [3,2,4,5,7] ; [2,3,4,5,7] |
list_summation | list_summation:right-to-left | 6, 2, 8, 0 | 8+0=8 ; 2+8=10 ; 6+10=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 8, 3, 7, 7 | 8+3=11 ; 7+7=14 ; 11+14=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 6, 5, 8 | [1,4,6,5,8] ; [1,4,5,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 9, 8, 7 | [0,4,9,8,7] ; [0,4,8,9,7] ; [0,4,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 9, 5, 6 | [9,7,2,5,6] ; [6,7,2,5,9] ; [7,6,2,5,9] ; [5,6,2,7,9] ; [6,5,2,7,9] ; [2,5,6,7,9] ; [5,2,6,7,9] ; [2,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-24 | 8x-56=-24 ; x+-7=-3 ; x=-3--7 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=-9 | 9x+36=-9 ; 9x=-45 ; x=-5 |
list_summation | list_summation:left-to-right | 2, 2, 9, 9 | 2+2=4 ; 4+9=13 ; 13+9=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 656+720 | d2:6+0+0=6→w6,c0 ; d1:5+2+0=7→w7,c0 ; d0:6+7+0=13→w3,c1 ; sum=1376 |
multidigit_addition | multidigit_addition:right-to-left-carry | 363+890 | d2:3+0+0=3→w3,c0 ; d1:6+9+0=15→w5,c1 ; d0:3+8+1=12→w2,c1 ; sum=1253 |
list_summation | list_summation:right-to-left | 3, 7, 8, 0 | 8+0=8 ; 7+8=15 ; 3+15=18 |
list_summation | list_summation:right-to-left | 8, 6, 4, 7 | 4+7=11 ; 6+11=17 ; 8+17=25 |
base_conversion | base_conversion:decomposition | n=135,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2013 |
list_summation | list_summation:pairwise | 7, 7, 1, 3 | 7+7=14 ; 1+3=4 ; 14+4=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 560+190 | d2:0+0+0=0→w0,c0 ; d1:6+9+0=15→w5,c1 ; d0:5+1+1=7→w7,c0 ; sum=750 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-20 | 2x-14=-20 ; x=(-20--14)/2 ; x=-6/2 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 912+152 | round:920+152=1072 ; adjust:1072-8=1064 ; sum=1064 |
multidigit_addition | multidigit_addition:right-to-left-carry | 811+177 | d2:1+7+0=8→w8,c0 ; d1:1+7+0=8→w8,c0 ; d0:8+1+0=9→w9,c0 ; sum=988 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-6 | 2x-16=-6 ; 2x=10 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=40 | 8x+40=40 ; x=(40-40)/8 ; x=0/8 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 180+322 | d2:0+2+0=2→w2,c0 ; d1:8+2+0=10→w0,c1 ; d0:1+3+1=5→w5,c0 ; sum=502 |
multidigit_addition | multidigit_addition:rounding-decomposition | 354+581 | round:360+581=941 ; adjust:941-6=935 ; sum=935 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 934+511 | d2:4+1+0=5→w5,c0 ; d1:3+1+0=4→w4,c0 ; d0:9+5+0=14→w4,c1 ; sum=1445 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
list_summation | list_summation:right-to-left | 5, 0, 2, 2 | 2+2=4 ; 0+4=4 ; 5+4=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 307+118 | p100:300+100=400 ; p10:0+10=10 ; p1:7+8=15 ; sum=400+10+15=425 |
list_summation | list_summation:left-to-right | 9, 5, 6, 0 | 9+5=14 ; 14+6=20 ; 20+0=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 3, 0, 4 | [1,9,0,3,4] ; [0,1,3,9,4] ; [0,1,3,4,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 3, 0, 6 | [2,5,3,0,6] ; [2,3,5,0,6] ; [0,2,3,5,6] ; [0,2,3,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 7, 5, 3 | [4,8,5,7,3] ; [4,5,7,8,3] ; [3,4,5,7,8] |
list_summation | list_summation:right-to-left | 0, 6, 4, 6 | 4+6=10 ; 6+10=16 ; 0+16=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=-56 | 7x-14=-56 ; x+-2=-8 ; x=-8--2 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 433+934 | p100:400+900=1300 ; p10:30+30=60 ; p1:3+4=7 ; sum=1300+60+7=1367 |
list_summation | list_summation:left-to-right | 5, 7, 2, 1 | 5+7=12 ; 12+2=14 ; 14+1=15 |
base_conversion | base_conversion:via-binary | n=177,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:1 ; OUT:261 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-2=-14 | 2x-2=-14 ; x=(-14--2)/2 ; x=-12/2 ; x=-6 |
base_conversion | base_conversion:via-binary | n=58,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:10 ; OUT:3A |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=26 | 2x+10=26 ; x+5=13 ; x=13-5 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 269+370 | d2:9+0+0=9→w9,c0 ; d1:6+7+0=13→w3,c1 ; d0:2+3+1=6→w6,c0 ; sum=639 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 0, 4, 3 | [1,5,0,4,3] ; [0,1,5,4,3] ; [0,1,4,5,3] ; [0,1,3,4,5] |
base_conversion | base_conversion:via-binary | n=167,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:7 ; OUT:247 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 3, 0, 7, 1 | [0,3,2,7,1] ; [0,1,2,7,3] ; [0,1,2,7,3] ; [0,1,2,3,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 175+726 | p100:100+700=800 ; p10:70+20=90 ; p1:5+6=11 ; sum=800+90+11=901 |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 4, 9, 8, 7 | 8+7=15 ; 9+15=24 ; 4+24=28 |
base_conversion | base_conversion:repeated-division | n=90,base=16 | DIV:90/16=5,r:10 ; DIV:5/16=0,r:5 ; OUT:5A |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=60 | 6x+42=60 ; 6x=18 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,2) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
list_summation | list_summation:right-to-left | 5, 3, 4, 5 | 4+5=9 ; 3+9=12 ; 5+12=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 6, 7, 2 | [5,7,6,3,2] ; [7,5,6,3,2] ; [2,5,6,3,7] ; [6,5,2,3,7] ; [3,5,2,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
list_summation | list_summation:pairwise | 1, 1, 0, 6 | 1+1=2 ; 0+6=6 ; 2+6=8 |
list_summation | list_summation:left-to-right | 2, 7, 4, 8 | 2+7=9 ; 9+4=13 ; 13+8=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 7, 4, 9 | [3,6,7,4,9] ; [3,6,4,7,9] ; [3,4,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 328+846 | p100:300+800=1100 ; p10:20+40=60 ; p1:8+6=14 ; sum=1100+60+14=1174 |
base_conversion | base_conversion:decomposition | n=99,base=16 | TERM:6*16^1=96 ; TERM:3*16^0=3 ; OUT:63 |
list_summation | list_summation:left-to-right | 2, 1, 1, 9 | 2+1=3 ; 3+1=4 ; 4+9=13 |
base_conversion | base_conversion:decomposition | n=140,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:2030 |
list_summation | list_summation:right-to-left | 6, 7, 1, 1 | 1+1=2 ; 7+2=9 ; 6+9=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=0 | 4x+20=0 ; 4x=-20 ; x=-5 |
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