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
sorting_algorithms
sorting_algorithms:insertion-sort
5, 0, 6, 2, 9
[0,5,6,2,9] ; [0,5,6,2,9] ; [0,2,5,6,9] ; [0,2,5,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
918+632
round:920+632=1552 ; adjust:1552-2=1550 ; sum=1550
sorting_algorithms
sorting_algorithms:merge-sort
5, 1, 0, 2, 4
[1,5,0,2,4] ; [0,1,2,5,4] ; [0,1,2,4,5]
sorting_algorithms
sorting_algorithms:selection-sort
3, 0, 7, 2, 4
[0,3,7,2,4] ; [0,2,7,3,4] ; [0,2,3,7,4] ; [0,2,3,4,7]
base_conversion
base_conversion:via-binary
n=54,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:110110
base_conversion
base_conversion:via-binary
n=179,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:2303
base_conversion
base_conversion:decomposition
n=143,base=8
TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:217
list_summation
list_summation:right-to-left
6, 0, 3, 0
3+0=3 ; 0+3=3 ; 6+3=9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
5, 9, 8, 8
5+9=14 ; 8+8=16 ; 14+16=30
base_conversion
base_conversion:via-binary
n=226,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:342
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,3)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:left-to-right-partials
920+705
p100:900+700=1600 ; p10:20+0=20 ; p1:0+5=5 ; sum=1600+20+5=1625
base_conversion
base_conversion:decomposition
n=214,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11010110
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
898+718
p100:800+700=1500 ; p10:90+10=100 ; p1:8+8=16 ; sum=1500+100+16=1616
list_summation
list_summation:left-to-right
9, 7, 7, 3
9+7=16 ; 16+7=23 ; 23+3=26
linear_equation_solving
linear_equation_solving:inverse-ops
2x+0=-8
2x+0=-8 ; x=(-8-0)/2 ; x=-8/2 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-15=-5
5x-15=-5 ; x+-3=-1 ; x=-1--3 ; x=2
list_summation
list_summation:right-to-left
6, 2, 6, 2
6+2=8 ; 2+8=10 ; 6+10=16
base_conversion
base_conversion:decomposition
n=89,base=8
TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:131
list_summation
list_summation:left-to-right
8, 1, 5, 8
8+1=9 ; 9+5=14 ; 14+8=22
multidigit_addition
multidigit_addition:left-to-right-partials
920+992
p100:900+900=1800 ; p10:20+90=110 ; p1:0+2=2 ; sum=1800+110+2=1912
list_summation
list_summation:left-to-right
1, 6, 3, 7
1+6=7 ; 7+3=10 ; 10+7=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=10
2x+18=10 ; x+9=5 ; x=5-9 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+16=-24
8x+16=-24 ; x+2=-3 ; x=-3-2 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,4)
D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)
list_summation
list_summation:left-to-right
1, 1, 5, 1
1+1=2 ; 2+5=7 ; 7+1=8
multidigit_addition
multidigit_addition:rounding-decomposition
388+513
round:390+513=903 ; adjust:903-2=901 ; sum=901
base_conversion
base_conversion:decomposition
n=207,base=8
TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:317
linear_equation_solving
linear_equation_solving:inverse-ops
6x-36=-30
6x-36=-30 ; x=(-30--36)/6 ; x=6/6 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:heap-sort
7, 3, 5, 0, 4
[7,4,5,0,3] ; [3,4,5,0,7] ; [5,4,3,0,7] ; [0,4,3,5,7] ; [4,0,3,5,7] ; [3,0,4,5,7] ; [0,3,4,5,7]
multidigit_addition
multidigit_addition:right-to-left-carry
316+288
d2:6+8+0=14→w4,c1 ; d1:1+8+1=10→w0,c1 ; d0:3+2+1=6→w6,c0 ; sum=604
base_conversion
base_conversion:via-binary
n=133,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:5 ; OUT:85
base_conversion
base_conversion:decomposition
n=220,base=8
TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:334
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 6, 0, 5
[1,8,6,0,5] ; [1,6,8,0,5] ; [1,6,0,8,5] ; [1,6,0,5,8] ; [1,0,6,5,8] ; [1,0,5,6,8] ; [0,1,5,6,8]
multidigit_addition
multidigit_addition:left-to-right-partials
537+335
p100:500+300=800 ; p10:30+30=60 ; p1:7+5=12 ; sum=800+60+12=872
list_summation
list_summation:pairwise
6, 8, 7, 6
6+8=14 ; 7+6=13 ; 14+13=27
base_conversion
base_conversion:repeated-division
n=110,base=16
DIV:110/16=6,r:14 ; DIV:6/16=0,r:6 ; OUT:6E
base_conversion
base_conversion:via-binary
n=212,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:4 ; OUT:324
multidigit_addition
multidigit_addition:rounding-decomposition
420+884
round:420+884=1304 ; adjust:1304-0=1304 ; sum=1304
multidigit_addition
multidigit_addition:rounding-decomposition
762+706
round:770+706=1476 ; adjust:1476-8=1468 ; sum=1468
multidigit_addition
multidigit_addition:rounding-decomposition
618+687
round:620+687=1307 ; adjust:1307-2=1305 ; sum=1305
multidigit_addition
multidigit_addition:rounding-decomposition
644+239
round:650+239=889 ; adjust:889-6=883 ; sum=883
base_conversion
base_conversion:repeated-division
n=243,base=4
DIV:243/4=60,r:3 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3303
sorting_algorithms
sorting_algorithms:insertion-sort
6, 2, 9, 0, 4
[2,6,9,0,4] ; [2,6,9,0,4] ; [0,2,6,9,4] ; [0,2,4,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
439+742
p100:400+700=1100 ; p10:30+40=70 ; p1:9+2=11 ; sum=1100+70+11=1181
list_summation
list_summation:right-to-left
0, 5, 2, 2
2+2=4 ; 5+4=9 ; 0+9=9
list_summation
list_summation:pairwise
9, 6, 2, 2
9+6=15 ; 2+2=4 ; 15+4=19
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+28=8
4x+28=8 ; x+7=2 ; x=2-7 ; x=-5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-6=-6
3x-6=-6 ; x+-2=-2 ; x=-2--2 ; x=0
sorting_algorithms
sorting_algorithms:insertion-sort
9, 8, 4, 1, 3
[8,9,4,1,3] ; [4,8,9,1,3] ; [1,4,8,9,3] ; [1,3,4,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 7, 8, 2
[0,7,8,9,2] ; [0,2,7,8,9]
base_conversion
base_conversion:via-binary
n=159,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:7 ; OUT:237
multidigit_addition
multidigit_addition:left-to-right-partials
113+355
p100:100+300=400 ; p10:10+50=60 ; p1:3+5=8 ; sum=400+60+8=468
sorting_algorithms
sorting_algorithms:insertion-sort
6, 3, 4, 5, 0
[3,6,4,5,0] ; [3,4,6,5,0] ; [3,4,5,6,0] ; [0,3,4,5,6]
list_summation
list_summation:right-to-left
8, 2, 4, 1
4+1=5 ; 2+5=7 ; 8+7=15
list_summation
list_summation:right-to-left
7, 6, 6, 4
6+4=10 ; 6+10=16 ; 7+16=23
base_conversion
base_conversion:decomposition
n=74,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1022
sorting_algorithms
sorting_algorithms:merge-sort
5, 0, 7, 6, 3
[0,5,7,6,3] ; [0,5,6,7,3] ; [0,3,5,6,7]
list_summation
list_summation:pairwise
1, 6, 5, 0
1+6=7 ; 5+0=5 ; 7+5=12
base_conversion
base_conversion:via-binary
n=216,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:3120
list_summation
list_summation:pairwise
6, 4, 4, 0
6+4=10 ; 4+0=4 ; 10+4=14
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-64=-56
8x-64=-56 ; x+-8=-7 ; x=-7--8 ; x=1
base_conversion
base_conversion:repeated-division
n=207,base=16
DIV:207/16=12,r:15 ; DIV:12/16=0,r:12 ; OUT:CF
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+45=15
5x+45=15 ; 5x=-30 ; x=-6
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+27=30
3x+27=30 ; 3x=3 ; x=1
base_conversion
base_conversion:repeated-division
n=136,base=2
DIV:136/2=68,r:0 ; DIV:68/2=34,r:0 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001000
base_conversion
base_conversion:repeated-division
n=79,base=2
DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; 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:1001111
multidigit_addition
multidigit_addition:left-to-right-partials
745+277
p100:700+200=900 ; p10:40+70=110 ; p1:5+7=12 ; sum=900+110+12=1022
base_conversion
base_conversion:decomposition
n=137,base=16
TERM:8*16^1=128 ; TERM:9*16^0=9 ; OUT:89
base_conversion
base_conversion:decomposition
n=69,base=2
TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1000101
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(3,5)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
base_conversion
base_conversion:repeated-division
n=189,base=2
DIV:189/2=94,r:1 ; DIV:94/2=47,r:0 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; 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:10111101
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-42=-42
7x-42=-42 ; 7x=0 ; x=0
multidigit_addition
multidigit_addition:right-to-left-carry
399+970
d2:9+0+0=9→w9,c0 ; d1:9+7+0=16→w6,c1 ; d0:3+9+1=13→w3,c1 ; sum=1369
list_summation
list_summation:pairwise
5, 8, 4, 3
5+8=13 ; 4+3=7 ; 13+7=20
sorting_algorithms
sorting_algorithms:heap-sort
3, 8, 5, 9, 0
[3,9,5,8,0] ; [9,3,5,8,0] ; [9,8,5,3,0] ; [0,8,5,3,9] ; [8,0,5,3,9] ; [8,3,5,0,9] ; [0,3,5,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9]
list_summation
list_summation:right-to-left
7, 6, 2, 4
2+4=6 ; 6+6=12 ; 7+12=19
sorting_algorithms
sorting_algorithms:merge-sort
7, 1, 9, 4, 3
[1,7,9,4,3] ; [1,7,4,9,3] ; [1,4,7,9,3] ; [1,3,4,7,9]
base_conversion
base_conversion:repeated-division
n=62,base=8
DIV:62/8=7,r:6 ; DIV:7/8=0,r:7 ; OUT:76
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:insertion-sort
7, 9, 4, 0, 3
[7,9,4,0,3] ; [4,7,9,0,3] ; [0,4,7,9,3] ; [0,3,4,7,9]
multidigit_addition
multidigit_addition:left-to-right-partials
648+953
p100:600+900=1500 ; p10:40+50=90 ; p1:8+3=11 ; sum=1500+90+11=1601
multidigit_addition
multidigit_addition:rounding-decomposition
131+111
round:140+111=251 ; adjust:251-9=242 ; sum=242
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:right-to-left-carry
635+945
d2:5+5+0=10→w0,c1 ; d1:3+4+1=8→w8,c0 ; d0:6+9+0=15→w5,c1 ; sum=1580
multidigit_addition
multidigit_addition:left-to-right-partials
709+968
p100:700+900=1600 ; p10:0+60=60 ; p1:9+8=17 ; sum=1600+60+17=1677
list_summation
list_summation:right-to-left
4, 4, 1, 8
1+8=9 ; 4+9=13 ; 4+13=17
base_conversion
base_conversion:repeated-division
n=155,base=16
DIV:155/16=9,r:11 ; DIV:9/16=0,r:9 ; OUT:9B
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-20=20
5x-20=20 ; x+-4=4 ; x=4--4 ; x=8
base_conversion
base_conversion:repeated-division
n=76,base=16
DIV:76/16=4,r:12 ; DIV:4/16=0,r:4 ; OUT:4C
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-21=-6
3x-21=-6 ; x+-7=-2 ; x=-2--7 ; x=5
base_conversion
base_conversion:via-binary
n=170,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101010
sorting_algorithms
sorting_algorithms:heap-sort
5, 8, 1, 6, 7
[8,5,1,6,7] ; [8,7,1,6,5] ; [5,7,1,6,8] ; [7,5,1,6,8] ; [7,6,1,5,8] ; [5,6,1,7,8] ; [6,5,1,7,8] ; [1,5,6,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8]