Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
 Community
1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
linear_equation_solving
linear_equation_solving:inverse-ops
3x+6=24
3x+6=24 ; x=(24-6)/3 ; x=18/3 ; x=6
sorting_algorithms
sorting_algorithms:selection-sort
7, 2, 0, 4, 9
[0,2,7,4,9] ; [0,2,7,4,9] ; [0,2,4,7,9] ; [0,2,4,7,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
230+765
d2:0+5+0=5→w5,c0 ; d1:3+6+0=9→w9,c0 ; d0:2+7+0=9→w9,c0 ; sum=995
list_summation
list_summation:pairwise
6, 9, 8, 7
6+9=15 ; 8+7=15 ; 15+15=30
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
6, 0, 5, 4, 8
[0,6,5,4,8] ; [0,5,6,4,8] ; [0,5,4,6,8] ; [0,4,5,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
716+861
d2:6+1+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:7+8+0=15→w5,c1 ; sum=1577
list_summation
list_summation:pairwise
4, 5, 8, 8
4+5=9 ; 8+8=16 ; 9+16=25
linear_equation_solving
linear_equation_solving:inverse-ops
8x+32=-24
8x+32=-24 ; x=(-24-32)/8 ; x=-56/8 ; x=-7
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-9=54
9x-9=54 ; 9x=63 ; x=7
list_summation
list_summation:left-to-right
9, 0, 4, 3
9+0=9 ; 9+4=13 ; 13+3=16
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
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:alternating
grid=6 ; S=(1,4) ; G=(4,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:merge-sort
0, 4, 9, 6, 3
[0,4,6,9,3] ; [0,3,4,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
515+845
round:520+845=1365 ; adjust:1365-5=1360 ; sum=1360
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,4)
D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
4, 0, 9, 8
4+0=4 ; 9+8=17 ; 4+17=21
sorting_algorithms
sorting_algorithms:merge-sort
1, 4, 0, 9, 6
[0,1,4,9,6] ; [0,1,4,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
453+279
round:460+279=739 ; adjust:739-7=732 ; sum=732
sorting_algorithms
sorting_algorithms:insertion-sort
1, 6, 2, 3, 8
[1,6,2,3,8] ; [1,2,6,3,8] ; [1,2,3,6,8] ; [1,2,3,6,8]
base_conversion
base_conversion:decomposition
n=54,base=4
TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:312
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+81=117
9x+81=117 ; 9x=36 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
239+278
p100:200+200=400 ; p10:30+70=100 ; p1:9+8=17 ; sum=400+100+17=517
list_summation
list_summation:right-to-left
0, 9, 9, 8
9+8=17 ; 9+17=26 ; 0+26=26
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 4, 5, 6
[0,4,5,9,6] ; [0,4,5,6,9]
base_conversion
base_conversion:decomposition
n=84,base=8
TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:124
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(5,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
3, 6, 0, 1
0+1=1 ; 6+1=7 ; 3+7=10
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=-15
3x+9=-15 ; x+3=-5 ; x=-5-3 ; x=-8
list_summation
list_summation:right-to-left
1, 6, 1, 7
1+7=8 ; 6+8=14 ; 1+14=15
list_summation
list_summation:pairwise
1, 1, 6, 2
1+1=2 ; 6+2=8 ; 2+8=10
list_summation
list_summation:right-to-left
3, 0, 5, 6
5+6=11 ; 0+11=11 ; 3+11=14
sorting_algorithms
sorting_algorithms:merge-sort
4, 6, 0, 7, 2
[0,4,6,7,2] ; [0,2,4,6,7]
base_conversion
base_conversion:decomposition
n=202,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11001010
multidigit_addition
multidigit_addition:right-to-left-carry
588+161
d2:8+1+0=9→w9,c0 ; d1:8+6+0=14→w4,c1 ; d0:5+1+1=7→w7,c0 ; sum=749
base_conversion
base_conversion:via-binary
n=243,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3303
multidigit_addition
multidigit_addition:left-to-right-partials
248+688
p100:200+600=800 ; p10:40+80=120 ; p1:8+8=16 ; sum=800+120+16=936
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)
sorting_algorithms
sorting_algorithms:merge-sort
2, 3, 7, 4, 6
[2,3,4,7,6] ; [2,3,4,6,7]
list_summation
list_summation:left-to-right
0, 8, 7, 0
0+8=8 ; 8+7=15 ; 15+0=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,4)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:insertion-sort
6, 3, 8, 7, 5
[3,6,8,7,5] ; [3,6,8,7,5] ; [3,6,7,8,5] ; [3,5,6,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-18=-34
2x-18=-34 ; x+-9=-17 ; x=-17--9 ; x=-8
sorting_algorithms
sorting_algorithms:selection-sort
8, 4, 9, 0, 1
[0,4,9,8,1] ; [0,1,9,8,4] ; [0,1,4,8,9] ; [0,1,4,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,3)
R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+12=-42
6x+12=-42 ; x+2=-7 ; x=-7-2 ; x=-9
list_summation
list_summation:right-to-left
3, 1, 1, 1
1+1=2 ; 1+2=3 ; 3+3=6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(5,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
1, 8, 7, 1
1+8=9 ; 9+7=16 ; 16+1=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+6=36
6x+6=36 ; x+1=6 ; x=6-1 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
472+553
p100:400+500=900 ; p10:70+50=120 ; p1:2+3=5 ; sum=900+120+5=1025
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=120,base=16
TERM:7*16^1=112 ; TERM:8*16^0=8 ; OUT:78
base_conversion
base_conversion:via-binary
n=242,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010
list_summation
list_summation:pairwise
6, 3, 0, 8
6+3=9 ; 0+8=8 ; 9+8=17
multidigit_addition
multidigit_addition:left-to-right-partials
705+735
p100:700+700=1400 ; p10:0+30=30 ; p1:5+5=10 ; sum=1400+30+10=1440
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(5,5)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:pairwise
5, 6, 4, 9
5+6=11 ; 4+9=13 ; 11+13=24
sorting_algorithms
sorting_algorithms:heap-sort
2, 9, 0, 3, 8
[9,2,0,3,8] ; [9,8,0,3,2] ; [2,8,0,3,9] ; [8,2,0,3,9] ; [8,3,0,2,9] ; [2,3,0,8,9] ; [3,2,0,8,9] ; [0,2,3,8,9] ; [2,0,3,8,9] ; [0,2,3,8,9]
base_conversion
base_conversion:via-binary
n=231,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:3213
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(2,4)
R:(0,4) ; D:(1,4) ; D:(2,4)
base_conversion
base_conversion:repeated-division
n=193,base=8
DIV:193/8=24,r:1 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:301
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,2)
D:(4,0) ; R:(4,1) ; R:(4,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(4,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:left-to-right
0, 0, 7, 3
0+0=0 ; 0+7=7 ; 7+3=10
base_conversion
base_conversion:decomposition
n=3,base=8
TERM:3*8^0=3 ; OUT:3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,5)
R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
751+417
p100:700+400=1100 ; p10:50+10=60 ; p1:1+7=8 ; sum=1100+60+8=1168
base_conversion
base_conversion:via-binary
n=131,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:203
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
base_conversion
base_conversion:repeated-division
n=124,base=16
DIV:124/16=7,r:12 ; DIV:7/16=0,r:7 ; OUT:7C
list_summation
list_summation:pairwise
8, 8, 2, 6
8+8=16 ; 2+6=8 ; 16+8=24
linear_equation_solving
linear_equation_solving:inverse-ops
3x-18=-24
3x-18=-24 ; x=(-24--18)/3 ; x=-6/3 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
482+802
d2:2+2+0=4→w4,c0 ; d1:8+0+0=8→w8,c0 ; d0:4+8+0=12→w2,c1 ; sum=1284
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+0=3
3x+0=3 ; x+0=1 ; x=1-0 ; x=1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,5)
R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(3,5)
D:(2,4) ; D:(3,4) ; R:(3,5)
base_conversion
base_conversion:repeated-division
n=178,base=2
DIV:178/2=89,r:0 ; 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:10110010
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(1,3)
R:(0,2) ; D:(1,2) ; R:(1,3)
base_conversion
base_conversion:via-binary
n=216,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:8 ; OUT:D8
base_conversion
base_conversion:decomposition
n=186,base=8
TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:272
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 0, 2, 9
[0,1,6,2,9] ; [0,1,6,2,9] ; [0,1,2,6,9] ; [0,1,2,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(2,5)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5)
sorting_algorithms
sorting_algorithms:selection-sort
7, 0, 8, 3, 6
[0,7,8,3,6] ; [0,3,8,7,6] ; [0,3,6,7,8] ; [0,3,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
450+813
round:450+813=1263 ; adjust:1263-0=1263 ; sum=1263
list_summation
list_summation:pairwise
2, 9, 0, 2
2+9=11 ; 0+2=2 ; 11+2=13
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
532+752
round:540+752=1292 ; adjust:1292-8=1284 ; sum=1284
base_conversion
base_conversion:repeated-division
n=43,base=16
DIV:43/16=2,r:11 ; DIV:2/16=0,r:2 ; OUT:2B
base_conversion
base_conversion:repeated-division
n=199,base=2
DIV:199/2=99,r:1 ; DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; 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:11000111
list_summation
list_summation:right-to-left
0, 5, 5, 6
5+6=11 ; 5+11=16 ; 0+16=16
linear_equation_solving
linear_equation_solving:inverse-ops
6x-18=6
6x-18=6 ; x=(6--18)/6 ; x=24/6 ; x=4
sorting_algorithms
sorting_algorithms:selection-sort
5, 4, 0, 2, 3
[0,4,5,2,3] ; [0,2,5,4,3] ; [0,2,3,4,5] ; [0,2,3,4,5]
sorting_algorithms
sorting_algorithms:insertion-sort
7, 4, 3, 2, 1
[4,7,3,2,1] ; [3,4,7,2,1] ; [2,3,4,7,1] ; [1,2,3,4,7]
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+6=0
6x+6=0 ; 6x=-6 ; x=-1
base_conversion
base_conversion:repeated-division
n=11,base=4
DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:23
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+18=3
3x+18=3 ; 3x=-15 ; x=-5