Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
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1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
list_summation
list_summation:right-to-left
0, 3, 4, 4
4+4=8 ; 3+8=11 ; 0+11=11
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+56=0
7x+56=0 ; x+8=0 ; x=0-8 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+56=8
8x+56=8 ; 8x=-48 ; x=-6
list_summation
list_summation:left-to-right
7, 9, 6, 0
7+9=16 ; 16+6=22 ; 22+0=22
multidigit_addition
multidigit_addition:rounding-decomposition
905+843
round:910+843=1753 ; adjust:1753-5=1748 ; sum=1748
base_conversion
base_conversion:decomposition
n=223,base=8
TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:337
list_summation
list_summation:pairwise
1, 0, 4, 6
1+0=1 ; 4+6=10 ; 1+10=11
sorting_algorithms
sorting_algorithms:merge-sort
8, 6, 9, 5, 0
[6,8,9,5,0] ; [6,8,5,9,0] ; [5,6,8,9,0] ; [0,5,6,8,9]
list_summation
list_summation:left-to-right
7, 0, 4, 6
7+0=7 ; 7+4=11 ; 11+6=17
multidigit_addition
multidigit_addition:rounding-decomposition
276+282
round:280+282=562 ; adjust:562-4=558 ; sum=558
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-10=-2
2x-10=-2 ; x+-5=-1 ; x=-1--5 ; x=4
sorting_algorithms
sorting_algorithms:selection-sort
8, 1, 0, 3, 4
[0,1,8,3,4] ; [0,1,8,3,4] ; [0,1,3,8,4] ; [0,1,3,4,8]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 4, 6, 0
[1,5,4,6,0] ; [1,4,5,6,0] ; [1,4,5,0,6] ; [1,4,0,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6]
list_summation
list_summation:right-to-left
5, 3, 6, 5
6+5=11 ; 3+11=14 ; 5+14=19
sorting_algorithms
sorting_algorithms:insertion-sort
2, 0, 1, 7, 5
[0,2,1,7,5] ; [0,1,2,7,5] ; [0,1,2,7,5] ; [0,1,2,5,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,5)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
2, 6, 3, 4, 7
[2,6,3,4,7] ; [2,3,6,4,7] ; [2,3,4,6,7] ; [2,3,4,6,7]
sorting_algorithms
sorting_algorithms:selection-sort
3, 0, 1, 6, 5
[0,3,1,6,5] ; [0,1,3,6,5] ; [0,1,3,6,5] ; [0,1,3,5,6]
list_summation
list_summation:pairwise
8, 8, 5, 1
8+8=16 ; 5+1=6 ; 16+6=22
sorting_algorithms
sorting_algorithms:insertion-sort
1, 2, 7, 5, 3
[1,2,7,5,3] ; [1,2,7,5,3] ; [1,2,5,7,3] ; [1,2,3,5,7]
list_summation
list_summation:pairwise
7, 4, 1, 1
7+4=11 ; 1+1=2 ; 11+2=13
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(5,4)
D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 0, 9, 3
[4,6,0,9,3] ; [0,4,6,9,3] ; [0,4,6,9,3] ; [0,3,4,6,9]
base_conversion
base_conversion:decomposition
n=48,base=2
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:110000
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+12=-42
6x+12=-42 ; 6x=-54 ; x=-9
base_conversion
base_conversion:decomposition
n=193,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:11000001
multidigit_addition
multidigit_addition:left-to-right-partials
175+722
p100:100+700=800 ; p10:70+20=90 ; p1:5+2=7 ; sum=800+90+7=897
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(2,4)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,4)
R:(2,4) ; D:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:right-to-left
4, 5, 5, 1
5+1=6 ; 5+6=11 ; 4+11=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(3,4)
R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:heap-sort
9, 5, 8, 6, 2
[9,6,8,5,2] ; [2,6,8,5,9] ; [8,6,2,5,9] ; [5,6,2,8,9] ; [6,5,2,8,9] ; [2,5,6,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
186+803
p100:100+800=900 ; p10:80+0=80 ; p1:6+3=9 ; sum=900+80+9=989
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+28=24
4x+28=24 ; 4x=-4 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
base_conversion
base_conversion:repeated-division
n=248,base=16
DIV:248/16=15,r:8 ; DIV:15/16=0,r:15 ; OUT:F8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(2,3)
R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
list_summation
list_summation:right-to-left
3, 6, 9, 5
9+5=14 ; 6+14=20 ; 3+20=23
base_conversion
base_conversion:repeated-division
n=87,base=2
DIV:87/2=43,r:1 ; 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:1010111
sorting_algorithms
sorting_algorithms:merge-sort
4, 0, 9, 1, 8
[0,4,9,1,8] ; [0,4,1,9,8] ; [0,1,4,9,8] ; [0,1,4,8,9]
list_summation
list_summation:left-to-right
7, 0, 9, 6
7+0=7 ; 7+9=16 ; 16+6=22
list_summation
list_summation:right-to-left
1, 0, 0, 6
0+6=6 ; 0+6=6 ; 1+6=7
multidigit_addition
multidigit_addition:left-to-right-partials
284+171
p100:200+100=300 ; p10:80+70=150 ; p1:4+1=5 ; sum=300+150+5=455
list_summation
list_summation:pairwise
3, 4, 9, 7
3+4=7 ; 9+7=16 ; 7+16=23
sorting_algorithms
sorting_algorithms:merge-sort
8, 7, 3, 2, 6
[7,8,3,2,6] ; [7,8,2,3,6] ; [2,3,7,8,6] ; [2,3,6,7,8]
list_summation
list_summation:left-to-right
6, 1, 7, 7
6+1=7 ; 7+7=14 ; 14+7=21
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(5,5)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 2, 6, 7, 8
[5,8,6,7,2] ; [8,5,6,7,2] ; [8,7,6,5,2] ; [2,7,6,5,8] ; [7,2,6,5,8] ; [7,5,6,2,8] ; [2,5,6,7,8] ; [6,5,2,7,8] ; [2,5,6,7,8] ; [5,2,6,7,8] ; [2,5,6,7,8]
list_summation
list_summation:pairwise
8, 9, 1, 3
8+9=17 ; 1+3=4 ; 17+4=21
multidigit_addition
multidigit_addition:rounding-decomposition
857+957
round:860+957=1817 ; adjust:1817-3=1814 ; sum=1814
base_conversion
base_conversion:via-binary
n=229,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:5 ; OUT:E5
sorting_algorithms
sorting_algorithms:heap-sort
2, 5, 4, 0, 6
[2,6,4,0,5] ; [6,2,4,0,5] ; [6,5,4,0,2] ; [2,5,4,0,6] ; [5,2,4,0,6] ; [0,2,4,5,6] ; [4,2,0,5,6] ; [0,2,4,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(4,3)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:merge-sort
8, 3, 6, 7, 1
[3,8,6,7,1] ; [3,6,7,8,1] ; [1,3,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(2,2)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2)
sorting_algorithms
sorting_algorithms:insertion-sort
5, 1, 0, 2, 7
[1,5,0,2,7] ; [0,1,5,2,7] ; [0,1,2,5,7] ; [0,1,2,5,7]
sorting_algorithms
sorting_algorithms:selection-sort
5, 0, 2, 8, 9
[0,5,2,8,9] ; [0,2,5,8,9] ; [0,2,5,8,9] ; [0,2,5,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
119+735
d2:9+5+0=14→w4,c1 ; d1:1+3+1=5→w5,c0 ; d0:1+7+0=8→w8,c0 ; sum=854
list_summation
list_summation:left-to-right
9, 8, 9, 9
9+8=17 ; 17+9=26 ; 26+9=35
base_conversion
base_conversion:via-binary
n=28,base=8
BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:4 ; OUT:34
multidigit_addition
multidigit_addition:rounding-decomposition
629+201
round:630+201=831 ; adjust:831-1=830 ; sum=830
list_summation
list_summation:left-to-right
4, 5, 9, 9
4+5=9 ; 9+9=18 ; 18+9=27
multidigit_addition
multidigit_addition:left-to-right-partials
684+619
p100:600+600=1200 ; p10:80+10=90 ; p1:4+9=13 ; sum=1200+90+13=1303
multidigit_addition
multidigit_addition:right-to-left-carry
387+371
d2:7+1+0=8→w8,c0 ; d1:8+7+0=15→w5,c1 ; d0:3+3+1=7→w7,c0 ; sum=758
linear_equation_solving
linear_equation_solving:inverse-ops
9x-45=-99
9x-45=-99 ; x=(-99--45)/9 ; x=-54/9 ; x=-6
base_conversion
base_conversion:repeated-division
n=44,base=4
DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:230
base_conversion
base_conversion:via-binary
n=200,base=16
BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:8 ; OUT:C8
base_conversion
base_conversion:via-binary
n=172,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10101100
base_conversion
base_conversion:via-binary
n=209,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:1 ; OUT:D1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
4, 5, 1, 6
1+6=7 ; 5+7=12 ; 4+12=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(4,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-36=-60
6x-36=-60 ; 6x=-24 ; x=-4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
4, 7, 1, 0
4+7=11 ; 11+1=12 ; 12+0=12
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 1, 9, 4, 7
[0,1,9,4,7] ; [0,1,9,4,7] ; [0,1,4,9,7] ; [0,1,4,7,9]
list_summation
list_summation:right-to-left
5, 1, 6, 0
6+0=6 ; 1+6=7 ; 5+7=12
multidigit_addition
multidigit_addition:left-to-right-partials
946+963
p100:900+900=1800 ; p10:40+60=100 ; p1:6+3=9 ; sum=1800+100+9=1909
base_conversion
base_conversion:via-binary
n=49,base=16
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; OUT:31
multidigit_addition
multidigit_addition:right-to-left-carry
851+399
d2:1+9+0=10→w0,c1 ; d1:5+9+1=15→w5,c1 ; d0:8+3+1=12→w2,c1 ; sum=1250
multidigit_addition
multidigit_addition:rounding-decomposition
309+443
round:310+443=753 ; adjust:753-1=752 ; sum=752
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+24=66
6x+24=66 ; 6x=42 ; x=7
multidigit_addition
multidigit_addition:rounding-decomposition
690+558
round:690+558=1248 ; adjust:1248-0=1248 ; sum=1248
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
sorting_algorithms
sorting_algorithms:heap-sort
8, 2, 1, 4, 5
[8,5,1,4,2] ; [2,5,1,4,8] ; [5,2,1,4,8] ; [5,4,1,2,8] ; [2,4,1,5,8] ; [4,2,1,5,8] ; [1,2,4,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8]
list_summation
list_summation:right-to-left
0, 3, 4, 1
4+1=5 ; 3+5=8 ; 0+8=8
sorting_algorithms
sorting_algorithms:heap-sort
0, 1, 8, 6, 7
[0,7,8,6,1] ; [8,7,0,6,1] ; [1,7,0,6,8] ; [7,1,0,6,8] ; [7,6,0,1,8] ; [1,6,0,7,8] ; [6,1,0,7,8] ; [0,1,6,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
285+303
round:290+303=593 ; adjust:593-5=588 ; sum=588
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,3)
R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3)
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=0
8x-24=0 ; x=(0--24)/8 ; x=24/8 ; x=3