task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 906+977 | p100:900+900=1800 ; p10:0+70=70 ; p1:6+7=13 ; sum=1800+70+13=1883 |
base_conversion | base_conversion:via-binary | n=73,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 9, 7, 3 | [6,8,9,7,3] ; [6,8,7,9,3] ; [6,8,7,3,9] ; [6,7,8,3,9] ; [6,7,3,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 5, 0, 3 | [2,8,5,0,3] ; [2,5,8,0,3] ; [0,2,5,8,3] ; [0,2,3,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 8, 9, 7 | [2,3,8,9,7] ; [2,3,8,9,7] ; [2,3,7,9,8] ; [2,3,7,8,9] |
base_conversion | base_conversion:via-binary | n=15,base=16 | BINLEN:4 ; CHUNK:0:15 ; OUT:F |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 211+772 | round:220+772=992 ; adjust:992-9=983 ; sum=983 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 8, 1, 9 | [3,7,8,1,9] ; [3,7,1,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 6, 5, 4 | [0,9,6,5,4] ; [0,6,9,5,4] ; [0,5,6,9,4] ; [0,4,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 988+102 | p100:900+100=1000 ; p10:80+0=80 ; p1:8+2=10 ; sum=1000+80+10=1090 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+12=18 | 2x+12=18 ; x=(18-12)/2 ; x=6/2 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 6, 4, 3 | [7,8,6,4,3] ; [7,6,8,4,3] ; [7,6,4,8,3] ; [7,6,4,3,8] ; [6,7,4,3,8] ; [6,4,7,3,8] ; [6,4,3,7,8] ; [4,6,3,7,8] ; [4,3,6,7,8] ; [3,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=170,base=2 | DIV:170/2=85,r:0 ; DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10101010 |
multidigit_addition | multidigit_addition:right-to-left-carry | 651+779 | d2:1+9+0=10→w0,c1 ; d1:5+7+1=13→w3,c1 ; d0:6+7+1=14→w4,c1 ; sum=1430 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 0, 3, 4 | [2,8,0,3,4] ; [0,2,8,3,4] ; [0,2,3,8,4] ; [0,2,3,4,8] |
list_summation | list_summation:right-to-left | 2, 4, 9, 4 | 9+4=13 ; 4+13=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 109+469 | round:110+469=579 ; adjust:579-1=578 ; sum=578 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=202,base=4 | DIV:202/4=50,r:2 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3022 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 0, 8, 2 | [0,1,7,8,2] ; [0,1,7,8,2] ; [0,1,2,8,7] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 1, 5, 6 | [0,3,1,5,6] ; [0,1,3,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 2, 9, 3 | [0,4,2,9,3] ; [0,2,4,9,3] ; [0,2,4,9,3] ; [0,2,3,4,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 9, 8, 3 | [2,7,9,8,3] ; [2,7,8,9,3] ; [2,7,8,3,9] ; [2,7,3,8,9] ; [2,3,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 972+743 | p100:900+700=1600 ; p10:70+40=110 ; p1:2+3=5 ; sum=1600+110+5=1715 |
list_summation | list_summation:left-to-right | 3, 7, 1, 3 | 3+7=10 ; 10+1=11 ; 11+3=14 |
list_summation | list_summation:right-to-left | 5, 7, 1, 4 | 1+4=5 ; 7+5=12 ; 5+12=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 7, 1, 0, 6 | 7+1=8 ; 8+0=8 ; 8+6=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 758+919 | d2:8+9+0=17→w7,c1 ; d1:5+1+1=7→w7,c0 ; d0:7+9+0=16→w6,c1 ; sum=1677 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 2, 6, 5 | [7,9,2,6,5] ; [2,7,9,6,5] ; [2,6,7,9,5] ; [2,5,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=16 | 8x+40=16 ; x=(16-40)/8 ; x=-24/8 ; x=-3 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 7, 4, 2 | [1,9,7,4,2] ; [1,9,4,7,2] ; [1,4,7,9,2] ; [1,2,4,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 7, 8, 4, 2 | 7+8=15 ; 4+2=6 ; 15+6=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=0 | 5x+10=0 ; 5x=-10 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=27 | 3x+27=27 ; x=(27-27)/3 ; x=0/3 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 6, 7, 2 | [9,8,6,7,2] ; [2,8,6,7,9] ; [8,2,6,7,9] ; [8,7,6,2,9] ; [2,7,6,8,9] ; [7,2,6,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=-30 | 5x-25=-30 ; x+-5=-6 ; x=-6--5 ; x=-1 |
list_summation | list_summation:pairwise | 1, 0, 9, 0 | 1+0=1 ; 9+0=9 ; 1+9=10 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=24 | 3x+27=24 ; x=(24-27)/3 ; x=-3/3 ; x=-1 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 2, 9, 4 | [1,7,2,9,4] ; [1,2,7,9,4] ; [1,2,4,7,9] |
base_conversion | base_conversion:repeated-division | n=69,base=8 | DIV:69/8=8,r:5 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:105 |
multidigit_addition | multidigit_addition:rounding-decomposition | 649+697 | round:650+697=1347 ; adjust:1347-1=1346 ; sum=1346 |
list_summation | list_summation:left-to-right | 3, 1, 9, 4 | 3+1=4 ; 4+9=13 ; 13+4=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 897+551 | round:900+551=1451 ; adjust:1451-3=1448 ; sum=1448 |
base_conversion | base_conversion:via-binary | n=19,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:3 ; OUT:23 |
list_summation | list_summation:pairwise | 8, 8, 0, 1 | 8+8=16 ; 0+1=1 ; 16+1=17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 1, 4, 0 | [2,9,1,4,0] ; [2,1,9,4,0] ; [2,1,4,9,0] ; [2,1,4,0,9] ; [1,2,4,0,9] ; [1,2,0,4,9] ; [1,0,2,4,9] ; [0,1,2,4,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 9, 1, 6 | [0,5,9,1,6] ; [0,1,9,5,6] ; [0,1,5,9,6] ; [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 4, 0, 9 | [1,6,4,0,9] ; [1,6,0,4,9] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 946+840 | p100:900+800=1700 ; p10:40+40=80 ; p1:6+0=6 ; sum=1700+80+6=1786 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-25 | 5x-5=-25 ; x+-1=-5 ; x=-5--1 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:via-binary | n=207,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3033 |
multidigit_addition | multidigit_addition:left-to-right-partials | 158+549 | p100:100+500=600 ; p10:50+40=90 ; p1:8+9=17 ; sum=600+90+17=707 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=-9 | 9x+9=-9 ; 9x=-18 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=0 | 9x-72=0 ; 9x=72 ; x=8 |
base_conversion | base_conversion:repeated-division | n=192,base=2 | DIV:192/2=96,r:0 ; DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; 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:11000000 |
multidigit_addition | multidigit_addition:rounding-decomposition | 796+356 | round:800+356=1156 ; adjust:1156-4=1152 ; sum=1152 |
base_conversion | base_conversion:via-binary | n=244,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:4 ; OUT:364 |
base_conversion | base_conversion:via-binary | n=36,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:4 ; OUT:44 |
list_summation | list_summation:right-to-left | 3, 6, 9, 2 | 9+2=11 ; 6+11=17 ; 3+17=20 |
base_conversion | base_conversion:repeated-division | n=124,base=8 | DIV:124/8=15,r:4 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:174 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 6, 9, 0 | [4,8,6,9,0] ; [4,6,8,9,0] ; [0,4,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:decomposition | n=41,base=4 | TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:221 |
base_conversion | base_conversion:repeated-division | n=197,base=16 | DIV:197/16=12,r:5 ; DIV:12/16=0,r:12 ; OUT:C5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 5, 2, 0 | [6,7,5,2,0] ; [6,5,7,2,0] ; [6,5,2,7,0] ; [6,5,2,0,7] ; [5,6,2,0,7] ; [5,2,6,0,7] ; [5,2,0,6,7] ; [2,5,0,6,7] ; [2,0,5,6,7] ; [0,2,5,6,7] |
list_summation | list_summation:pairwise | 2, 2, 9, 9 | 2+2=4 ; 9+9=18 ; 4+18=22 |
base_conversion | base_conversion:decomposition | n=69,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:5*8^0=5 ; OUT:105 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 2, 6, 5, 3 | [1,2,6,5,3] ; [1,2,6,5,3] ; [1,2,5,6,3] ; [1,2,3,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=24 | 3x+9=24 ; x=(24-9)/3 ; x=15/3 ; x=5 |
list_summation | list_summation:left-to-right | 0, 4, 8, 1 | 0+4=4 ; 4+8=12 ; 12+1=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | 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=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
base_conversion | base_conversion:decomposition | n=220,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3130 |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 521+427 | round:530+427=957 ; adjust:957-9=948 ; sum=948 |
list_summation | list_summation:right-to-left | 9, 7, 0, 3 | 0+3=3 ; 7+3=10 ; 9+10=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=-2 | 2x+10=-2 ; 2x=-12 ; x=-6 |
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) |
base_conversion | base_conversion:via-binary | n=46,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:6 ; OUT:56 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=55,base=16 | DIV:55/16=3,r:7 ; DIV:3/16=0,r:3 ; OUT:37 |
list_summation | list_summation:left-to-right | 0, 1, 8, 5 | 0+1=1 ; 1+8=9 ; 9+5=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 883+848 | round:890+848=1738 ; adjust:1738-7=1731 ; sum=1731 |
multidigit_addition | multidigit_addition:rounding-decomposition | 881+436 | round:890+436=1326 ; adjust:1326-9=1317 ; sum=1317 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-27=-45 | 9x-27=-45 ; 9x=-18 ; x=-2 |
base_conversion | base_conversion:decomposition | n=110,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:6*8^0=6 ; OUT:156 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 2, 0, 9 | [0,3,2,8,9] ; [0,2,3,8,9] ; [0,2,3,8,9] ; [0,2,3,8,9] |
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