task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 6, 8, 4, 2 | 4+2=6 ; 8+6=14 ; 6+14=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 2, 6, 5 | [2,7,9,6,5] ; [2,5,9,6,7] ; [2,5,6,9,7] ; [2,5,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 5, 9, 1 | [2,6,5,9,1] ; [2,5,6,9,1] ; [2,5,6,9,1] ; [1,2,5,6,9] |
base_conversion | base_conversion:via-binary | n=159,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10011111 |
list_summation | list_summation:right-to-left | 9, 3, 9, 4 | 9+4=13 ; 3+13=16 ; 9+16=25 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=153,base=8 | DIV:153/8=19,r:1 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:231 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=8 | 4x+20=8 ; x+5=2 ; x=2-5 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 882+271 | d2:2+1+0=3→w3,c0 ; d1:8+7+0=15→w5,c1 ; d0:8+2+1=11→w1,c1 ; sum=1153 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
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:right-to-left-carry | 381+905 | d2:1+5+0=6→w6,c0 ; d1:8+0+0=8→w8,c0 ; d0:3+9+0=12→w2,c1 ; sum=1286 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=-56 | 7x-14=-56 ; x+-2=-8 ; x=-8--2 ; x=-6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 1, 4, 5 | [2,7,1,4,5] ; [1,2,7,4,5] ; [1,2,4,7,5] ; [1,2,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=10 | 2x-4=10 ; x=(10--4)/2 ; x=14/2 ; x=7 |
base_conversion | base_conversion:decomposition | n=32,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100000 |
multidigit_addition | multidigit_addition:rounding-decomposition | 852+320 | round:860+320=1180 ; adjust:1180-8=1172 ; sum=1172 |
multidigit_addition | multidigit_addition:right-to-left-carry | 934+520 | d2:4+0+0=4→w4,c0 ; d1:3+2+0=5→w5,c0 ; d0:9+5+0=14→w4,c1 ; sum=1454 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 7, 8, 4 | [4,9,7,8,6] ; [4,6,7,8,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 9, 6, 2 | [0,1,9,6,2] ; [0,1,9,6,2] ; [0,1,2,6,9] ; [0,1,2,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-75 | 5x-35=-75 ; x+-7=-15 ; x=-15--7 ; x=-8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 734+316 | round:740+316=1056 ; adjust:1056-6=1050 ; sum=1050 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=195,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3003 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 432+207 | d2:2+7+0=9→w9,c0 ; d1:3+0+0=3→w3,c0 ; d0:4+2+0=6→w6,c0 ; sum=639 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 7, 1, 6 | [5,7,8,1,6] ; [5,7,1,8,6] ; [5,7,1,6,8] ; [5,1,7,6,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 8, 1, 9 | [5,7,1,8,9] ; [5,1,7,8,9] ; [1,5,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 157+385 | p100:100+300=400 ; p10:50+80=130 ; p1:7+5=12 ; sum=400+130+12=542 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 479+476 | p100:400+400=800 ; p10:70+70=140 ; p1:9+6=15 ; sum=800+140+15=955 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=45,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:101101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 8, 0, 9 | [2,4,8,0,9] ; [2,4,0,8,9] ; [2,0,4,8,9] ; [0,2,4,8,9] |
base_conversion | base_conversion:decomposition | n=50,base=8 | TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:62 |
list_summation | list_summation:right-to-left | 6, 3, 2, 9 | 2+9=11 ; 3+11=14 ; 6+14=20 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=3 | 3x+24=3 ; x=(3-24)/3 ; x=-21/3 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 6, 9, 2 | [5,6,7,9,2] ; [2,5,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 0, 8, 3 | [1,2,0,8,3] ; [0,1,2,8,3] ; [0,1,2,8,3] ; [0,1,2,3,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 4, 0, 2, 1 | 2+1=3 ; 0+3=3 ; 4+3=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 3, 9, 2 | [1,6,3,9,2] ; [1,3,6,9,2] ; [1,3,6,9,2] ; [1,2,3,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 8, 5, 7 | [4,6,8,5,7] ; [4,6,5,8,7] ; [4,6,5,7,8] ; [4,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 812+302 | d2:2+2+0=4→w4,c0 ; d1:1+0+0=1→w1,c0 ; d0:8+3+0=11→w1,c1 ; sum=1114 |
list_summation | list_summation:left-to-right | 8, 1, 4, 3 | 8+1=9 ; 9+4=13 ; 13+3=16 |
list_summation | list_summation:pairwise | 1, 2, 3, 5 | 1+2=3 ; 3+5=8 ; 3+8=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-24 | 4x-28=-24 ; 4x=4 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 368+427 | p100:300+400=700 ; p10:60+20=80 ; p1:8+7=15 ; sum=700+80+15=795 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 5, 6, 3 | [4,8,5,6,3] ; [4,5,8,6,3] ; [4,5,6,8,3] ; [3,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=9,base=16 | DIV:9/16=0,r:9 ; OUT:9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 230+856 | round:230+856=1086 ; adjust:1086-0=1086 ; sum=1086 |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+470 | p100:900+400=1300 ; p10:0+70=70 ; p1:1+0=1 ; sum=1300+70+1=1371 |
base_conversion | base_conversion:decomposition | n=149,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:225 |
multidigit_addition | multidigit_addition:rounding-decomposition | 847+452 | round:850+452=1302 ; adjust:1302-3=1299 ; sum=1299 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 1, 9, 0 | [3,9,1,7,0] ; [9,3,1,7,0] ; [9,7,1,3,0] ; [0,7,1,3,9] ; [7,0,1,3,9] ; [7,3,1,0,9] ; [0,3,1,7,9] ; [3,0,1,7,9] ; [1,0,3,7,9] ; [0,1,3,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 796+629 | d2:6+9+0=15→w5,c1 ; d1:9+2+1=12→w2,c1 ; d0:7+6+1=14→w4,c1 ; sum=1425 |
multidigit_addition | multidigit_addition:rounding-decomposition | 760+122 | round:760+122=882 ; adjust:882-0=882 ; sum=882 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=-42 | 6x-6=-42 ; 6x=-36 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 813+786 | round:820+786=1606 ; adjust:1606-7=1599 ; sum=1599 |
list_summation | list_summation:pairwise | 8, 9, 3, 8 | 8+9=17 ; 3+8=11 ; 17+11=28 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 2, 0, 1 | [3,8,0,2,1] ; [0,2,3,8,1] ; [0,1,2,3,8] |
base_conversion | base_conversion:repeated-division | n=30,base=16 | DIV:30/16=1,r:14 ; DIV:1/16=0,r:1 ; OUT:1E |
base_conversion | base_conversion:repeated-division | n=225,base=8 | DIV:225/8=28,r:1 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:341 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 713+569 | p100:700+500=1200 ; p10:10+60=70 ; p1:3+9=12 ; sum=1200+70+12=1282 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 5, 0, 8 | [1,7,5,0,8] ; [1,5,7,0,8] ; [1,5,0,7,8] ; [1,0,5,7,8] ; [0,1,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
base_conversion | base_conversion:decomposition | n=129,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10000001 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 253+845 | p100:200+800=1000 ; p10:50+40=90 ; p1:3+5=8 ; sum=1000+90+8=1098 |
list_summation | list_summation:left-to-right | 8, 8, 1, 6 | 8+8=16 ; 16+1=17 ; 17+6=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,5) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) |
base_conversion | base_conversion:repeated-division | n=92,base=16 | DIV:92/16=5,r:12 ; DIV:5/16=0,r:5 ; OUT:5C |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 0, 6, 1 | [8,9,0,6,1] ; [0,6,8,9,1] ; [0,1,6,8,9] |
base_conversion | base_conversion:repeated-division | n=165,base=16 | DIV:165/16=10,r:5 ; DIV:10/16=0,r:10 ; OUT:A5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 621+719 | round:630+719=1349 ; adjust:1349-9=1340 ; sum=1340 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 738+585 | d2:8+5+0=13→w3,c1 ; d1:3+8+1=12→w2,c1 ; d0:7+5+1=13→w3,c1 ; sum=1323 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 9, 2, 7 | [1,8,9,2,7] ; [1,8,9,2,7] ; [1,2,8,9,7] ; [1,2,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=6 | 2x+0=6 ; x=(6-0)/2 ; x=6/2 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 1, 2, 4 | [1,7,8,2,4] ; [1,2,8,7,4] ; [1,2,4,7,8] ; [1,2,4,7,8] |
base_conversion | base_conversion:repeated-division | n=37,base=2 | 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:100101 |
base_conversion | base_conversion:via-binary | n=158,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:14 ; OUT:9E |
base_conversion | base_conversion:repeated-division | n=61,base=4 | DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:331 |
list_summation | list_summation:left-to-right | 7, 0, 2, 3 | 7+0=7 ; 7+2=9 ; 9+3=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 534+813 | round:540+813=1353 ; adjust:1353-6=1347 ; sum=1347 |
multidigit_addition | multidigit_addition:rounding-decomposition | 755+454 | round:760+454=1214 ; adjust:1214-5=1209 ; sum=1209 |
list_summation | list_summation:left-to-right | 9, 5, 9, 0 | 9+5=14 ; 14+9=23 ; 23+0=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=163,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10100011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=56 | 7x+7=56 ; x+1=8 ; x=8-1 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 944+701 | d2:4+1+0=5→w5,c0 ; d1:4+0+0=4→w4,c0 ; d0:9+7+0=16→w6,c1 ; sum=1645 |
list_summation | list_summation:right-to-left | 0, 6, 8, 9 | 8+9=17 ; 6+17=23 ; 0+23=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 3, 4, 0 | [1,5,3,4,0] ; [1,3,5,4,0] ; [1,3,4,5,0] ; [0,1,3,4,5] |
multidigit_addition | multidigit_addition:left-to-right-partials | 761+725 | p100:700+700=1400 ; p10:60+20=80 ; p1:1+5=6 ; sum=1400+80+6=1486 |
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