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
list_summation
list_summation:right-to-left
7, 3, 8, 8
8+8=16 ; 3+16=19 ; 7+19=26
base_conversion
base_conversion:decomposition
n=49,base=16
TERM:3*16^1=48 ; TERM:1*16^0=1 ; OUT:31
sorting_algorithms
sorting_algorithms:insertion-sort
3, 6, 9, 2, 0
[3,6,9,2,0] ; [3,6,9,2,0] ; [2,3,6,9,0] ; [0,2,3,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-54=-81
9x-54=-81 ; x=(-81--54)/9 ; x=-27/9 ; x=-3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(3,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-48=-30
6x-48=-30 ; x+-8=-5 ; x=-5--8 ; x=3
multidigit_addition
multidigit_addition:left-to-right-partials
308+317
p100:300+300=600 ; p10:0+10=10 ; p1:8+7=15 ; sum=600+10+15=625
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=254,base=8
DIV:254/8=31,r:6 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:376
multidigit_addition
multidigit_addition:rounding-decomposition
831+580
round:840+580=1420 ; adjust:1420-9=1411 ; sum=1411
list_summation
list_summation:pairwise
6, 0, 1, 3
6+0=6 ; 1+3=4 ; 6+4=10
list_summation
list_summation:pairwise
1, 2, 5, 3
1+2=3 ; 5+3=8 ; 3+8=11
list_summation
list_summation:pairwise
9, 3, 7, 6
9+3=12 ; 7+6=13 ; 12+13=25
base_conversion
base_conversion:repeated-division
n=193,base=2
DIV:193/2=96,r:1 ; DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; 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:11000001
sorting_algorithms
sorting_algorithms:bubble-sort
3, 5, 7, 8, 0
[3,5,7,0,8] ; [3,5,0,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-72=9
9x-72=9 ; x+-8=1 ; x=1--8 ; x=9
sorting_algorithms
sorting_algorithms:insertion-sort
0, 3, 9, 1, 2
[0,3,9,1,2] ; [0,3,9,1,2] ; [0,1,3,9,2] ; [0,1,2,3,9]
multidigit_addition
multidigit_addition:rounding-decomposition
507+719
round:510+719=1229 ; adjust:1229-3=1226 ; sum=1226
sorting_algorithms
sorting_algorithms:merge-sort
8, 4, 7, 9, 6
[4,8,7,9,6] ; [4,7,8,9,6] ; [4,6,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,5)
R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
base_conversion
base_conversion:via-binary
n=150,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10010110
base_conversion
base_conversion:via-binary
n=104,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:0 ; OUT:150
sorting_algorithms
sorting_algorithms:bubble-sort
3, 6, 5, 2, 8
[3,5,6,2,8] ; [3,5,2,6,8] ; [3,2,5,6,8] ; [2,3,5,6,8]
list_summation
list_summation:right-to-left
8, 5, 0, 9
0+9=9 ; 5+9=14 ; 8+14=22
list_summation
list_summation:right-to-left
5, 7, 6, 6
6+6=12 ; 7+12=19 ; 5+19=24
multidigit_addition
multidigit_addition:right-to-left-carry
751+247
d2:1+7+0=8→w8,c0 ; d1:5+4+0=9→w9,c0 ; d0:7+2+0=9→w9,c0 ; sum=998
base_conversion
base_conversion:via-binary
n=156,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:12 ; OUT:9C
base_conversion
base_conversion:via-binary
n=44,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:101100
list_summation
list_summation:left-to-right
8, 8, 6, 9
8+8=16 ; 16+6=22 ; 22+9=31
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-2=10
2x-2=10 ; 2x=12 ; x=6
list_summation
list_summation:right-to-left
3, 1, 7, 4
7+4=11 ; 1+11=12 ; 3+12=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,4)
D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
6, 2, 7, 8, 0
[2,6,7,8,0] ; [0,2,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=209,base=4
DIV:209/4=52,r:1 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3101
sorting_algorithms
sorting_algorithms:insertion-sort
6, 7, 1, 4, 9
[6,7,1,4,9] ; [1,6,7,4,9] ; [1,4,6,7,9] ; [1,4,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+30=-6
6x+30=-6 ; x+5=-1 ; x=-1-5 ; x=-6
list_summation
list_summation:right-to-left
5, 0, 8, 5
8+5=13 ; 0+13=13 ; 5+13=18
multidigit_addition
multidigit_addition:right-to-left-carry
283+895
d2:3+5+0=8→w8,c0 ; d1:8+9+0=17→w7,c1 ; d0:2+8+1=11→w1,c1 ; sum=1178
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:selection-sort
6, 2, 8, 0, 1
[0,2,8,6,1] ; [0,1,8,6,2] ; [0,1,2,6,8] ; [0,1,2,6,8]
base_conversion
base_conversion:repeated-division
n=143,base=2
DIV:143/2=71,r:1 ; DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; 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:10001111
linear_equation_solving
linear_equation_solving:inverse-ops
9x-81=-108
9x-81=-108 ; x=(-108--81)/9 ; x=-27/9 ; x=-3
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)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+16=-20
4x+16=-20 ; x+4=-5 ; x=-5-4 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+12=48
4x+12=48 ; x+3=12 ; x=12-3 ; x=9
multidigit_addition
multidigit_addition:left-to-right-partials
278+445
p100:200+400=600 ; p10:70+40=110 ; p1:8+5=13 ; sum=600+110+13=723
multidigit_addition
multidigit_addition:rounding-decomposition
152+214
round:160+214=374 ; adjust:374-8=366 ; sum=366
list_summation
list_summation:left-to-right
5, 4, 8, 5
5+4=9 ; 9+8=17 ; 17+5=22
sorting_algorithms
sorting_algorithms:bubble-sort
4, 9, 8, 5, 0
[4,8,9,5,0] ; [4,8,5,9,0] ; [4,8,5,0,9] ; [4,5,8,0,9] ; [4,5,0,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,5)
D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=140,base=4
DIV:140/4=35,r:0 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2030
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-8=16
4x-8=16 ; x+-2=4 ; x=4--2 ; x=6
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+12=2
2x+12=2 ; 2x=-10 ; x=-5
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-56=-84
7x-56=-84 ; x+-8=-12 ; x=-12--8 ; x=-4
sorting_algorithms
sorting_algorithms:bubble-sort
4, 3, 0, 9, 5
[3,4,0,9,5] ; [3,0,4,9,5] ; [3,0,4,5,9] ; [0,3,4,5,9]
base_conversion
base_conversion:via-binary
n=145,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2101
list_summation
list_summation:left-to-right
6, 0, 3, 0
6+0=6 ; 6+3=9 ; 9+0=9
list_summation
list_summation:pairwise
0, 8, 0, 9
0+8=8 ; 0+9=9 ; 8+9=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(1,1)
R:(0,1) ; D:(1,1)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 6, 7, 0, 9
[4,6,7,0,9] ; [4,6,7,0,9] ; [0,4,6,7,9] ; [0,4,6,7,9]
base_conversion
base_conversion:via-binary
n=195,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:303
multidigit_addition
multidigit_addition:rounding-decomposition
809+732
round:810+732=1542 ; adjust:1542-1=1541 ; sum=1541
linear_equation_solving
linear_equation_solving:inverse-ops
4x+36=44
4x+36=44 ; x=(44-36)/4 ; x=8/4 ; x=2
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-36=-45
9x-36=-45 ; 9x=-9 ; x=-1
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+63=36
9x+63=36 ; x+7=4 ; x=4-7 ; x=-3
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-18=-28
2x-18=-28 ; 2x=-10 ; x=-5
linear_equation_solving
linear_equation_solving:inverse-ops
7x-49=-42
7x-49=-42 ; x=(-42--49)/7 ; x=7/7 ; x=1
sorting_algorithms
sorting_algorithms:selection-sort
8, 0, 2, 9, 4
[0,8,2,9,4] ; [0,2,8,9,4] ; [0,2,4,9,8] ; [0,2,4,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+49=28
7x+49=28 ; x+7=4 ; x=4-7 ; x=-3
base_conversion
base_conversion:repeated-division
n=117,base=4
DIV:117/4=29,r:1 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1311
list_summation
list_summation:right-to-left
7, 3, 3, 8
3+8=11 ; 3+11=14 ; 7+14=21
list_summation
list_summation:left-to-right
0, 4, 5, 1
0+4=4 ; 4+5=9 ; 9+1=10
list_summation
list_summation:right-to-left
6, 3, 8, 8
8+8=16 ; 3+16=19 ; 6+19=25
list_summation
list_summation:right-to-left
6, 4, 7, 5
7+5=12 ; 4+12=16 ; 6+16=22
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=-48
8x+16=-48 ; 8x=-64 ; x=-8
base_conversion
base_conversion:repeated-division
n=248,base=4
DIV:248/4=62,r:0 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3320
base_conversion
base_conversion:decomposition
n=223,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3133
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(4,2)
D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2)
base_conversion
base_conversion:repeated-division
n=149,base=8
DIV:149/8=18,r:5 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:225
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+24=-24
8x+24=-24 ; x+3=-3 ; x=-3-3 ; x=-6
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-48=-54
6x-48=-54 ; x+-8=-9 ; x=-9--8 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
426+278
d2:6+8+0=14→w4,c1 ; d1:2+7+1=10→w0,c1 ; d0:4+2+1=7→w7,c0 ; sum=704
multidigit_addition
multidigit_addition:right-to-left-carry
692+561
d2:2+1+0=3→w3,c0 ; d1:9+6+0=15→w5,c1 ; d0:6+5+1=12→w2,c1 ; sum=1253
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-4=-8
4x-4=-8 ; x+-1=-2 ; x=-2--1 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
6x+6=-48
6x+6=-48 ; x=(-48-6)/6 ; x=-54/6 ; x=-9
multidigit_addition
multidigit_addition:right-to-left-carry
452+559
d2:2+9+0=11→w1,c1 ; d1:5+5+1=11→w1,c1 ; d0:4+5+1=10→w0,c1 ; sum=1011
base_conversion
base_conversion:repeated-division
n=32,base=2
DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:100000
list_summation
list_summation:left-to-right
0, 4, 2, 7
0+4=4 ; 4+2=6 ; 6+7=13
base_conversion
base_conversion:decomposition
n=138,base=4
TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:2022
linear_equation_solving
linear_equation_solving:inverse-ops
2x-14=-4
2x-14=-4 ; x=(-4--14)/2 ; x=10/2 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
6x+42=12
6x+42=12 ; x=(12-42)/6 ; x=-30/6 ; x=-5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,5)
R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:pairwise
7, 2, 8, 0
7+2=9 ; 8+0=8 ; 9+8=17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(3,4)
R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,5)
D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-45=18
9x-45=18 ; 9x=63 ; x=7
list_summation
list_summation:right-to-left
9, 8, 2, 5
2+5=7 ; 8+7=15 ; 9+15=24
multidigit_addition
multidigit_addition:rounding-decomposition
766+417
round:770+417=1187 ; adjust:1187-4=1183 ; sum=1183
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+10=20
5x+10=20 ; x+2=4 ; x=4-2 ; x=2