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 | 505+130 | p100:500+100=600 ; p10:0+30=30 ; p1:5+0=5 ; sum=600+30+5=635 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 703+982 | round:710+982=1692 ; adjust:1692-7=1685 ; sum=1685 |
list_summation | list_summation:right-to-left | 9, 3, 3, 1 | 3+1=4 ; 3+4=7 ; 9+7=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 417+342 | round:420+342=762 ; adjust:762-3=759 ; sum=759 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 4, 8, 3 | [1,8,4,7,3] ; [8,1,4,7,3] ; [8,7,4,1,3] ; [3,7,4,1,8] ; [7,3,4,1,8] ; [1,3,4,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=216,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11011000 |
base_conversion | base_conversion:decomposition | n=4,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 331+749 | p100:300+700=1000 ; p10:30+40=70 ; p1:1+9=10 ; sum=1000+70+10=1080 |
base_conversion | base_conversion:decomposition | n=129,base=16 | TERM:8*16^1=128 ; TERM:1*16^0=1 ; OUT:81 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 2, 3, 0 | [4,5,2,3,0] ; [2,4,5,3,0] ; [2,3,4,5,0] ; [0,2,3,4,5] |
list_summation | list_summation:right-to-left | 0, 2, 0, 4 | 0+4=4 ; 2+4=6 ; 0+6=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=214,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:6*8^0=6 ; OUT:326 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=253,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:375 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 8, 9, 6 | [2,4,8,9,6] ; [2,4,8,6,9] ; [2,4,6,8,9] |
list_summation | list_summation:pairwise | 8, 6, 8, 7 | 8+6=14 ; 8+7=15 ; 14+15=29 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 3, 5, 6 | [3,9,4,5,6] ; [3,4,9,5,6] ; [3,4,5,9,6] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 250+631 | d2:0+1+0=1→w1,c0 ; d1:5+3+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=881 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 1, 0, 6, 9 | 6+9=15 ; 0+15=15 ; 1+15=16 |
base_conversion | base_conversion:via-binary | n=66,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1002 |
list_summation | list_summation:right-to-left | 1, 2, 7, 0 | 7+0=7 ; 2+7=9 ; 1+9=10 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 5, 4, 8 | [3,7,5,4,8] ; [3,7,4,5,8] ; [3,4,5,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 6, 8, 2 | [1,3,6,8,2] ; [1,2,6,8,3] ; [1,2,3,8,6] ; [1,2,3,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 0, 6, 1 | [7,9,0,6,1] ; [0,7,9,6,1] ; [0,6,7,9,1] ; [0,1,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(4,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
base_conversion | base_conversion:via-binary | n=28,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:12 ; OUT:1C |
base_conversion | base_conversion:via-binary | n=124,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1111100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 1, 7, 4 | [0,3,1,7,4] ; [0,1,3,7,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
list_summation | list_summation:right-to-left | 4, 8, 0, 3 | 0+3=3 ; 8+3=11 ; 4+11=15 |
base_conversion | base_conversion:via-binary | n=222,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:3132 |
list_summation | list_summation:left-to-right | 2, 4, 4, 6 | 2+4=6 ; 6+4=10 ; 10+6=16 |
base_conversion | base_conversion:repeated-division | n=50,base=8 | DIV:50/8=6,r:2 ; DIV:6/8=0,r:6 ; OUT:62 |
list_summation | list_summation:right-to-left | 9, 9, 4, 2 | 4+2=6 ; 9+6=15 ; 9+15=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=90,base=8 | DIV:90/8=11,r:2 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:132 |
list_summation | list_summation:right-to-left | 9, 6, 3, 6 | 3+6=9 ; 6+9=15 ; 9+15=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=35 | 7x+56=35 ; x=(35-56)/7 ; x=-21/7 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 7, 0, 8 | [3,6,7,0,8] ; [3,6,0,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-24 | 4x-28=-24 ; 4x=4 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=48 | 8x-16=48 ; 8x=64 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 680+899 | round:680+899=1579 ; adjust:1579-0=1579 ; sum=1579 |
list_summation | list_summation:right-to-left | 6, 9, 1, 9 | 1+9=10 ; 9+10=19 ; 6+19=25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=105,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:1 ; OUT:151 |
base_conversion | base_conversion:decomposition | n=112,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110000 |
list_summation | list_summation:pairwise | 6, 3, 2, 3 | 6+3=9 ; 2+3=5 ; 9+5=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 119+263 | d2:9+3+0=12→w2,c1 ; d1:1+6+1=8→w8,c0 ; d0:1+2+0=3→w3,c0 ; sum=382 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 7, 0, 1 | [3,9,7,0,1] ; [3,9,0,7,1] ; [0,3,7,9,1] ; [0,1,3,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=30 | 6x+36=30 ; x+6=5 ; x=5-6 ; x=-1 |
list_summation | list_summation:left-to-right | 3, 5, 9, 9 | 3+5=8 ; 8+9=17 ; 17+9=26 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=118,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1312 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 6, 5, 4 | [7,3,6,5,4] ; [7,5,6,3,4] ; [4,5,6,3,7] ; [6,5,4,3,7] ; [3,5,4,6,7] ; [5,3,4,6,7] ; [4,3,5,6,7] ; [3,4,5,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 6, 9, 7 | [2,8,6,9,7] ; [2,6,8,9,7] ; [2,6,8,7,9] ; [2,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 9, 1, 3 | [1,5,9,6,3] ; [1,3,9,6,5] ; [1,3,5,6,9] ; [1,3,5,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 8, 3, 7, 8 | 8+3=11 ; 7+8=15 ; 11+15=26 |
base_conversion | base_conversion:via-binary | n=249,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3321 |
list_summation | list_summation:left-to-right | 3, 8, 4, 6 | 3+8=11 ; 11+4=15 ; 15+6=21 |
list_summation | list_summation:left-to-right | 1, 5, 3, 5 | 1+5=6 ; 6+3=9 ; 9+5=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 676+613 | d2:6+3+0=9→w9,c0 ; d1:7+1+0=8→w8,c0 ; d0:6+6+0=12→w2,c1 ; sum=1289 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 9, 8, 9, 4 | 9+8=17 ; 17+9=26 ; 26+4=30 |
list_summation | list_summation:left-to-right | 4, 9, 6, 2 | 4+9=13 ; 13+6=19 ; 19+2=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 5, 8, 7 | [2,6,5,8,7] ; [2,5,6,8,7] ; [2,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 163+415 | d2:3+5+0=8→w8,c0 ; d1:6+1+0=7→w7,c0 ; d0:1+4+0=5→w5,c0 ; sum=578 |
base_conversion | base_conversion:decomposition | n=173,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10101101 |
list_summation | list_summation:right-to-left | 0, 3, 2, 4 | 2+4=6 ; 3+6=9 ; 0+9=9 |
list_summation | list_summation:left-to-right | 3, 7, 4, 3 | 3+7=10 ; 10+4=14 ; 14+3=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 5, 2, 6 | [1,7,5,2,6] ; [1,2,5,7,6] ; [1,2,5,7,6] ; [1,2,5,6,7] |
list_summation | list_summation:pairwise | 7, 1, 0, 3 | 7+1=8 ; 0+3=3 ; 8+3=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 891+863 | d2:1+3+0=4→w4,c0 ; d1:9+6+0=15→w5,c1 ; d0:8+8+1=17→w7,c1 ; sum=1754 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=4 | 2x+18=4 ; 2x=-14 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=173,base=2 | DIV:173/2=86,r:1 ; DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; 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:10101101 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 9, 4, 6 | [2,3,9,4,6] ; [2,3,4,9,6] ; [2,3,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 5, 3, 8 | [3,7,5,4,8] ; [3,4,5,7,8] ; [3,4,5,7,8] ; [3,4,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 8, 5, 2 | [4,9,8,5,2] ; [4,8,9,5,2] ; [4,5,8,9,2] ; [2,4,5,8,9] |
list_summation | list_summation:left-to-right | 1, 1, 9, 7 | 1+1=2 ; 2+9=11 ; 11+7=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 973+588 | round:980+588=1568 ; adjust:1568-7=1561 ; sum=1561 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=-48 | 8x+24=-48 ; x+3=-6 ; x=-6-3 ; x=-9 |
list_summation | list_summation:left-to-right | 7, 5, 2, 8 | 7+5=12 ; 12+2=14 ; 14+8=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 381+394 | d2:1+4+0=5→w5,c0 ; d1:8+9+0=17→w7,c1 ; d0:3+3+1=7→w7,c0 ; sum=775 |
multidigit_addition | multidigit_addition:left-to-right-partials | 801+218 | p100:800+200=1000 ; p10:0+10=10 ; p1:1+8=9 ; sum=1000+10+9=1019 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=179,base=2 | DIV:179/2=89,r:1 ; DIV:89/2=44,r:1 ; DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110011 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 2, 1, 8 | [1,9,2,3,8] ; [1,2,9,3,8] ; [1,2,3,9,8] ; [1,2,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; D:(1,4) ; R:(1,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(5,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
list_summation | list_summation:right-to-left | 4, 4, 9, 4 | 9+4=13 ; 4+13=17 ; 4+17=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-70 | 7x-28=-70 ; x+-4=-10 ; x=-10--4 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=60 | 5x+40=60 ; x+8=12 ; x=12-8 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 428+836 | round:430+836=1266 ; adjust:1266-2=1264 ; sum=1264 |
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