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
2x+4=20
2x+4=20 ; x=(20-4)/2 ; x=16/2 ; x=8
sorting_algorithms
sorting_algorithms:heap-sort
5, 8, 1, 6, 3
[8,5,1,6,3] ; [8,6,1,5,3] ; [3,6,1,5,8] ; [6,3,1,5,8] ; [6,5,1,3,8] ; [3,5,1,6,8] ; [5,3,1,6,8] ; [1,3,5,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8]
list_summation
list_summation:right-to-left
8, 4, 3, 8
3+8=11 ; 4+11=15 ; 8+15=23
base_conversion
base_conversion:via-binary
n=64,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1000000
sorting_algorithms
sorting_algorithms:bubble-sort
9, 7, 1, 0, 5
[7,9,1,0,5] ; [7,1,9,0,5] ; [7,1,0,9,5] ; [7,1,0,5,9] ; [1,7,0,5,9] ; [1,0,7,5,9] ; [1,0,5,7,9] ; [0,1,5,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-42=21
7x-42=21 ; x+-6=3 ; x=3--6 ; x=9
list_summation
list_summation:left-to-right
8, 4, 5, 5
8+4=12 ; 12+5=17 ; 17+5=22
base_conversion
base_conversion:via-binary
n=103,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1213
sorting_algorithms
sorting_algorithms:insertion-sort
2, 1, 0, 7, 3
[1,2,0,7,3] ; [0,1,2,7,3] ; [0,1,2,7,3] ; [0,1,2,3,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=176,base=2
DIV:176/2=88,r:0 ; DIV:88/2=44,r:0 ; 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:10110000
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+42=-12
6x+42=-12 ; x+7=-2 ; x=-2-7 ; x=-9
list_summation
list_summation:left-to-right
6, 1, 4, 2
6+1=7 ; 7+4=11 ; 11+2=13
linear_equation_solving
linear_equation_solving:inverse-ops
3x-12=-6
3x-12=-6 ; x=(-6--12)/3 ; x=6/3 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:bubble-sort
6, 5, 8, 2, 9
[5,6,8,2,9] ; [5,6,2,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
4, 0, 9, 2, 6
[0,4,9,2,6] ; [0,4,2,9,6] ; [0,4,2,6,9] ; [0,2,4,6,9]
list_summation
list_summation:right-to-left
0, 7, 7, 9
7+9=16 ; 7+16=23 ; 0+23=23
sorting_algorithms
sorting_algorithms:bubble-sort
0, 7, 3, 2, 6
[0,3,7,2,6] ; [0,3,2,7,6] ; [0,3,2,6,7] ; [0,2,3,6,7]
list_summation
list_summation:left-to-right
7, 6, 6, 2
7+6=13 ; 13+6=19 ; 19+2=21
linear_equation_solving
linear_equation_solving:inverse-ops
3x-18=-39
3x-18=-39 ; x=(-39--18)/3 ; x=-21/3 ; x=-7
list_summation
list_summation:left-to-right
7, 9, 7, 4
7+9=16 ; 16+7=23 ; 23+4=27
list_summation
list_summation:pairwise
3, 5, 6, 6
3+5=8 ; 6+6=12 ; 8+12=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-10=25
5x-10=25 ; 5x=35 ; x=7
list_summation
list_summation:right-to-left
5, 0, 6, 0
6+0=6 ; 0+6=6 ; 5+6=11
base_conversion
base_conversion:repeated-division
n=142,base=8
DIV:142/8=17,r:6 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:216
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
450+167
p100:400+100=500 ; p10:50+60=110 ; p1:0+7=7 ; sum=500+110+7=617
sorting_algorithms
sorting_algorithms:bubble-sort
9, 6, 8, 3, 1
[6,9,8,3,1] ; [6,8,9,3,1] ; [6,8,3,9,1] ; [6,8,3,1,9] ; [6,3,8,1,9] ; [6,3,1,8,9] ; [3,6,1,8,9] ; [3,1,6,8,9] ; [1,3,6,8,9]
base_conversion
base_conversion:decomposition
n=204,base=16
TERM:12*16^1=192 ; TERM:12*16^0=12 ; OUT:CC
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+0=64
8x+0=64 ; 8x=64 ; x=8
list_summation
list_summation:pairwise
4, 5, 3, 3
4+5=9 ; 3+3=6 ; 9+6=15
base_conversion
base_conversion:via-binary
n=174,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:14 ; OUT:AE
sorting_algorithms
sorting_algorithms:bubble-sort
9, 3, 1, 7, 4
[3,9,1,7,4] ; [3,1,9,7,4] ; [3,1,7,9,4] ; [3,1,7,4,9] ; [1,3,7,4,9] ; [1,3,4,7,9]
base_conversion
base_conversion:decomposition
n=24,base=2
TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11000
base_conversion
base_conversion:decomposition
n=155,base=8
TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:3*8^0=3 ; OUT:233
sorting_algorithms
sorting_algorithms:bubble-sort
9, 7, 2, 3, 0
[7,9,2,3,0] ; [7,2,9,3,0] ; [7,2,3,9,0] ; [7,2,3,0,9] ; [2,7,3,0,9] ; [2,3,7,0,9] ; [2,3,0,7,9] ; [2,0,3,7,9] ; [0,2,3,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+32=-40
8x+32=-40 ; x=(-40-32)/8 ; x=-72/8 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-30=0
5x-30=0 ; x+-6=0 ; x=0--6 ; x=6
sorting_algorithms
sorting_algorithms:merge-sort
3, 6, 8, 9, 5
[3,5,6,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 0, 3, 9
[1,5,0,3,9] ; [1,0,5,3,9] ; [1,0,3,5,9] ; [0,1,3,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+3=6
3x+3=6 ; x=(6-3)/3 ; x=3/3 ; x=1
linear_equation_solving
linear_equation_solving:inverse-ops
3x+3=30
3x+3=30 ; x=(30-3)/3 ; x=27/3 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,2)
D:(4,1) ; R:(4,2)
base_conversion
base_conversion:via-binary
n=10,base=4
BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:2 ; OUT:22
base_conversion
base_conversion:via-binary
n=234,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:3222
multidigit_addition
multidigit_addition:left-to-right-partials
777+624
p100:700+600=1300 ; p10:70+20=90 ; p1:7+4=11 ; sum=1300+90+11=1401
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 3, 0, 8
[0,4,3,1,8] ; [0,1,3,4,8] ; [0,1,3,4,8] ; [0,1,3,4,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
903+258
round:910+258=1168 ; adjust:1168-7=1161 ; sum=1161
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+2=2
2x+2=2 ; 2x=0 ; x=0
base_conversion
base_conversion:repeated-division
n=248,base=2
DIV:248/2=124,r:0 ; DIV:124/2=62,r:0 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111000
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,3)
R:(3,3) ; D:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:merge-sort
9, 6, 1, 4, 0
[6,9,1,4,0] ; [1,4,6,9,0] ; [0,1,4,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
813+581
p100:800+500=1300 ; p10:10+80=90 ; p1:3+1=4 ; sum=1300+90+4=1394
base_conversion
base_conversion:decomposition
n=195,base=8
TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:303
base_conversion
base_conversion:repeated-division
n=71,base=4
DIV:71/4=17,r:3 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1013
base_conversion
base_conversion:via-binary
n=147,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:223
sorting_algorithms
sorting_algorithms:selection-sort
9, 3, 6, 4, 8
[3,9,6,4,8] ; [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 0, 5, 9
[6,9,0,5,2] ; [9,6,0,5,2] ; [2,6,0,5,9] ; [6,2,0,5,9] ; [6,5,0,2,9] ; [2,5,0,6,9] ; [5,2,0,6,9] ; [0,2,5,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
702+449
p100:700+400=1100 ; p10:0+40=40 ; p1:2+9=11 ; sum=1100+40+11=1151
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(4,2)
R:(3,1) ; R:(3,2) ; D:(4,2)
sorting_algorithms
sorting_algorithms:bubble-sort
0, 2, 1, 5, 7
[0,1,2,5,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+8=-24
8x+8=-24 ; x=(-24-8)/8 ; x=-32/8 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-8=0
2x-8=0 ; x+-4=0 ; x=0--4 ; x=4
multidigit_addition
multidigit_addition:rounding-decomposition
335+771
round:340+771=1111 ; adjust:1111-5=1106 ; sum=1106
multidigit_addition
multidigit_addition:left-to-right-partials
399+380
p100:300+300=600 ; p10:90+80=170 ; p1:9+0=9 ; sum=600+170+9=779
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(1,4)
D:(1,3) ; R:(1,4)
multidigit_addition
multidigit_addition:left-to-right-partials
596+329
p100:500+300=800 ; p10:90+20=110 ; p1:6+9=15 ; sum=800+110+15=925
sorting_algorithms
sorting_algorithms:heap-sort
9, 7, 6, 8, 3
[9,8,6,7,3] ; [3,8,6,7,9] ; [8,3,6,7,9] ; [8,7,6,3,9] ; [3,7,6,8,9] ; [7,3,6,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,4)
D:(3,2) ; R:(3,3) ; R:(3,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+5=45
5x+5=45 ; x+1=9 ; x=9-1 ; x=8
base_conversion
base_conversion:decomposition
n=155,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011011
multidigit_addition
multidigit_addition:rounding-decomposition
385+893
round:390+893=1283 ; adjust:1283-5=1278 ; sum=1278
sorting_algorithms
sorting_algorithms:bubble-sort
2, 0, 5, 9, 6
[0,2,5,9,6] ; [0,2,5,6,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-72=-36
9x-72=-36 ; x+-8=-4 ; x=-4--8 ; x=4
base_conversion
base_conversion:via-binary
n=4,base=2
BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:100
linear_equation_solving
linear_equation_solving:inverse-ops
2x-16=-18
2x-16=-18 ; x=(-18--16)/2 ; x=-2/2 ; x=-1
sorting_algorithms
sorting_algorithms:selection-sort
7, 1, 4, 8, 9
[1,7,4,8,9] ; [1,4,7,8,9] ; [1,4,7,8,9] ; [1,4,7,8,9]
base_conversion
base_conversion:via-binary
n=180,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2310
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
9, 2, 1, 2
9+2=11 ; 1+2=3 ; 11+3=14
list_summation
list_summation:pairwise
7, 3, 5, 0
7+3=10 ; 5+0=5 ; 10+5=15
list_summation
list_summation:pairwise
1, 1, 6, 9
1+1=2 ; 6+9=15 ; 2+15=17
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,4)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
2, 1, 9, 5
2+1=3 ; 9+5=14 ; 3+14=17
list_summation
list_summation:right-to-left
8, 0, 2, 3
2+3=5 ; 0+5=5 ; 8+5=13
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-16=-26
2x-16=-26 ; x+-8=-13 ; x=-13--8 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
331+960
round:340+960=1300 ; adjust:1300-9=1291 ; sum=1291
multidigit_addition
multidigit_addition:rounding-decomposition
949+573
round:950+573=1523 ; adjust:1523-1=1522 ; sum=1522
sorting_algorithms
sorting_algorithms:merge-sort
3, 2, 8, 4, 1
[2,3,8,4,1] ; [2,3,4,8,1] ; [1,2,3,4,8]
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)
multidigit_addition
multidigit_addition:right-to-left-carry
958+639
d2:8+9+0=17→w7,c1 ; d1:5+3+1=9→w9,c0 ; d0:9+6+0=15→w5,c1 ; sum=1597
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,4)
R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=34,base=4
DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:202
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,1)
R:(2,1) ; D:(3,1)
list_summation
list_summation:right-to-left
2, 7, 6, 5
6+5=11 ; 7+11=18 ; 2+18=20
multidigit_addition
multidigit_addition:rounding-decomposition
663+960
round:670+960=1630 ; adjust:1630-7=1623 ; sum=1623