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:heap-sort
5, 8, 3, 7, 4
[8,5,3,7,4] ; [8,7,3,5,4] ; [4,7,3,5,8] ; [7,4,3,5,8] ; [7,5,3,4,8] ; [4,5,3,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8]
list_summation
list_summation:pairwise
2, 3, 4, 7
2+3=5 ; 4+7=11 ; 5+11=16
linear_equation_solving
linear_equation_solving:inverse-ops
2x+10=0
2x+10=0 ; x=(0-10)/2 ; x=-10/2 ; x=-5
base_conversion
base_conversion:via-binary
n=53,base=16
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:5 ; OUT:35
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=33
3x+9=33 ; x+3=11 ; x=11-3 ; x=8
base_conversion
base_conversion:decomposition
n=168,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10101000
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-63=-81
9x-63=-81 ; x+-7=-9 ; x=-9--7 ; x=-2
multidigit_addition
multidigit_addition:rounding-decomposition
736+633
round:740+633=1373 ; adjust:1373-4=1369 ; sum=1369
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-9=-36
3x-9=-36 ; x+-3=-12 ; x=-12--3 ; x=-9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(3,4)
D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
list_summation
list_summation:left-to-right
2, 4, 5, 5
2+4=6 ; 6+5=11 ; 11+5=16
base_conversion
base_conversion:repeated-division
n=107,base=16
DIV:107/16=6,r:11 ; DIV:6/16=0,r:6 ; OUT:6B
base_conversion
base_conversion:repeated-division
n=152,base=16
DIV:152/16=9,r:8 ; DIV:9/16=0,r:9 ; OUT:98
sorting_algorithms
sorting_algorithms:bubble-sort
4, 2, 9, 7, 8
[2,4,9,7,8] ; [2,4,7,9,8] ; [2,4,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
9, 1, 7, 2, 3
[1,9,7,2,3] ; [1,7,9,2,3] ; [1,7,2,9,3] ; [1,7,2,3,9] ; [1,2,7,3,9] ; [1,2,3,7,9]
sorting_algorithms
sorting_algorithms:selection-sort
4, 8, 2, 1, 9
[1,8,2,4,9] ; [1,2,8,4,9] ; [1,2,4,8,9] ; [1,2,4,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
242+174
p100:200+100=300 ; p10:40+70=110 ; p1:2+4=6 ; sum=300+110+6=416
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 1, 5, 0
[0,3,1,5,7] ; [0,1,3,5,7] ; [0,1,3,5,7] ; [0,1,3,5,7]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+18=-27
9x+18=-27 ; 9x=-45 ; x=-5
list_summation
list_summation:right-to-left
6, 4, 3, 8
3+8=11 ; 4+11=15 ; 6+15=21
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 3, 4, 1
[5,3,9,4,1] ; [5,3,4,9,1] ; [5,3,4,1,9] ; [3,5,4,1,9] ; [3,4,5,1,9] ; [3,4,1,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 9, 3, 8, 6
[2,9,3,8,6] ; [2,3,9,8,6] ; [2,3,8,9,6] ; [2,3,6,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-18=0
9x-18=0 ; x=(0--18)/9 ; x=18/9 ; x=2
linear_equation_solving
linear_equation_solving:inverse-ops
3x-9=-6
3x-9=-6 ; x=(-6--9)/3 ; x=3/3 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
406+597
p100:400+500=900 ; p10:0+90=90 ; p1:6+7=13 ; sum=900+90+13=1003
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 5, 2, 4, 1
[5,8,2,4,1] ; [5,2,8,4,1] ; [5,2,4,8,1] ; [5,2,4,1,8] ; [2,5,4,1,8] ; [2,4,5,1,8] ; [2,4,1,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8]
base_conversion
base_conversion:repeated-division
n=232,base=16
DIV:232/16=14,r:8 ; DIV:14/16=0,r:14 ; OUT:E8
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,5)
D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:pairwise
0, 3, 3, 0
0+3=3 ; 3+0=3 ; 3+3=6
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-18=18
9x-18=18 ; 9x=36 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,3)
D:(4,1) ; R:(4,2) ; R:(4,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+54=108
6x+54=108 ; 6x=54 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-63=-45
9x-63=-45 ; 9x=18 ; x=2
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)
sorting_algorithms
sorting_algorithms:heap-sort
6, 7, 2, 5, 1
[7,6,2,5,1] ; [1,6,2,5,7] ; [6,1,2,5,7] ; [6,5,2,1,7] ; [1,5,2,6,7] ; [5,1,2,6,7] ; [2,1,5,6,7] ; [1,2,5,6,7]
sorting_algorithms
sorting_algorithms:merge-sort
9, 8, 3, 4, 1
[8,9,3,4,1] ; [3,4,8,9,1] ; [1,3,4,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+40=104
8x+40=104 ; 8x=64 ; x=8
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
sorting_algorithms
sorting_algorithms:insertion-sort
7, 8, 3, 9, 2
[7,8,3,9,2] ; [3,7,8,9,2] ; [3,7,8,9,2] ; [2,3,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-2=6
2x-2=6 ; 2x=8 ; x=4
base_conversion
base_conversion:repeated-division
n=66,base=16
DIV:66/16=4,r:2 ; DIV:4/16=0,r:4 ; OUT:42
sorting_algorithms
sorting_algorithms:bubble-sort
3, 2, 7, 9, 4
[2,3,7,9,4] ; [2,3,7,4,9] ; [2,3,4,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
9, 3, 2, 7, 0
[9,7,2,3,0] ; [0,7,2,3,9] ; [7,0,2,3,9] ; [7,3,2,0,9] ; [0,3,2,7,9] ; [3,0,2,7,9] ; [2,0,3,7,9] ; [0,2,3,7,9]
multidigit_addition
multidigit_addition:left-to-right-partials
394+333
p100:300+300=600 ; p10:90+30=120 ; p1:4+3=7 ; sum=600+120+7=727
sorting_algorithms
sorting_algorithms:insertion-sort
1, 2, 3, 8, 4
[1,2,3,8,4] ; [1,2,3,8,4] ; [1,2,3,8,4] ; [1,2,3,4,8]
multidigit_addition
multidigit_addition:left-to-right-partials
848+187
p100:800+100=900 ; p10:40+80=120 ; p1:8+7=15 ; sum=900+120+15=1035
list_summation
list_summation:right-to-left
6, 4, 8, 7
8+7=15 ; 4+15=19 ; 6+19=25
sorting_algorithms
sorting_algorithms:insertion-sort
8, 9, 2, 0, 6
[8,9,2,0,6] ; [2,8,9,0,6] ; [0,2,8,9,6] ; [0,2,6,8,9]
base_conversion
base_conversion:via-binary
n=92,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1011100
base_conversion
base_conversion:via-binary
n=112,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1110000
multidigit_addition
multidigit_addition:left-to-right-partials
533+200
p100:500+200=700 ; p10:30+0=30 ; p1:3+0=3 ; sum=700+30+3=733
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+72=54
9x+72=54 ; 9x=-18 ; x=-2
base_conversion
base_conversion:via-binary
n=79,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:117
sorting_algorithms
sorting_algorithms:selection-sort
4, 7, 5, 3, 8
[3,7,5,4,8] ; [3,4,5,7,8] ; [3,4,5,7,8] ; [3,4,5,7,8]
list_summation
list_summation:pairwise
2, 8, 9, 7
2+8=10 ; 9+7=16 ; 10+16=26
multidigit_addition
multidigit_addition:left-to-right-partials
411+847
p100:400+800=1200 ; p10:10+40=50 ; p1:1+7=8 ; sum=1200+50+8=1258
list_summation
list_summation:left-to-right
5, 6, 1, 1
5+6=11 ; 11+1=12 ; 12+1=13
list_summation
list_summation:right-to-left
2, 8, 3, 9
3+9=12 ; 8+12=20 ; 2+20=22
multidigit_addition
multidigit_addition:left-to-right-partials
832+483
p100:800+400=1200 ; p10:30+80=110 ; p1:2+3=5 ; sum=1200+110+5=1315
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 3, 2, 9
[0,7,3,2,9] ; [0,3,7,2,9] ; [0,2,3,7,9] ; [0,2,3,7,9]
list_summation
list_summation:right-to-left
4, 1, 7, 6
7+6=13 ; 1+13=14 ; 4+14=18
list_summation
list_summation:pairwise
3, 1, 6, 2
3+1=4 ; 6+2=8 ; 4+8=12
multidigit_addition
multidigit_addition:left-to-right-partials
212+701
p100:200+700=900 ; p10:10+0=10 ; p1:2+1=3 ; sum=900+10+3=913
list_summation
list_summation:right-to-left
4, 2, 9, 5
9+5=14 ; 2+14=16 ; 4+16=20
multidigit_addition
multidigit_addition:rounding-decomposition
386+460
round:390+460=850 ; adjust:850-4=846 ; sum=846
multidigit_addition
multidigit_addition:right-to-left-carry
967+929
d2:7+9+0=16→w6,c1 ; d1:6+2+1=9→w9,c0 ; d0:9+9+0=18→w8,c1 ; sum=1896
sorting_algorithms
sorting_algorithms:selection-sort
2, 9, 7, 5, 1
[1,9,7,5,2] ; [1,2,7,5,9] ; [1,2,5,7,9] ; [1,2,5,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+16=32
4x+16=32 ; 4x=16 ; x=4
multidigit_addition
multidigit_addition:rounding-decomposition
452+969
round:460+969=1429 ; adjust:1429-8=1421 ; sum=1421
linear_equation_solving
linear_equation_solving:inverse-ops
6x-30=-78
6x-30=-78 ; x=(-78--30)/6 ; x=-48/6 ; x=-8
list_summation
list_summation:pairwise
3, 4, 8, 7
3+4=7 ; 8+7=15 ; 7+15=22
list_summation
list_summation:left-to-right
3, 9, 1, 7
3+9=12 ; 12+1=13 ; 13+7=20
multidigit_addition
multidigit_addition:rounding-decomposition
955+992
round:960+992=1952 ; adjust:1952-5=1947 ; sum=1947
sorting_algorithms
sorting_algorithms:selection-sort
2, 3, 4, 1, 5
[1,3,4,2,5] ; [1,2,4,3,5] ; [1,2,3,4,5] ; [1,2,3,4,5]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 4, 3, 6, 0
[4,9,3,6,0] ; [3,4,9,6,0] ; [3,4,6,9,0] ; [0,3,4,6,9]
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)
base_conversion
base_conversion:repeated-division
n=72,base=8
DIV:72/8=9,r:0 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:110
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-4=-4
4x-4=-4 ; x+-1=-1 ; x=-1--1 ; x=0
sorting_algorithms
sorting_algorithms:heap-sort
6, 7, 4, 2, 3
[7,6,4,2,3] ; [3,6,4,2,7] ; [6,3,4,2,7] ; [2,3,4,6,7] ; [4,3,2,6,7] ; [2,3,4,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(2,4)
D:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-14=2
2x-14=2 ; x+-7=1 ; x=1--7 ; x=8
base_conversion
base_conversion:via-binary
n=43,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:11 ; OUT:2B
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+56=-16
8x+56=-16 ; 8x=-72 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+5=30
5x+5=30 ; x+1=6 ; x=6-1 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
730+246
d2:0+6+0=6→w6,c0 ; d1:3+4+0=7→w7,c0 ; d0:7+2+0=9→w9,c0 ; sum=976
list_summation
list_summation:right-to-left
3, 9, 0, 2
0+2=2 ; 9+2=11 ; 3+11=14
base_conversion
base_conversion:decomposition
n=184,base=16
TERM:11*16^1=176 ; TERM:8*16^0=8 ; OUT:B8
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:pairwise
8, 3, 0, 5
8+3=11 ; 0+5=5 ; 11+5=16
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-14=-14
7x-14=-14 ; 7x=0 ; x=0
linear_equation_solving
linear_equation_solving:inverse-ops
2x+8=-10
2x+8=-10 ; x=(-10-8)/2 ; x=-18/2 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+63=108
9x+63=108 ; x+7=12 ; x=12-7 ; x=5
base_conversion
base_conversion:decomposition
n=202,base=8
TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:2*8^0=2 ; OUT:312
multidigit_addition
multidigit_addition:right-to-left-carry
326+388
d2:6+8+0=14→w4,c1 ; d1:2+8+1=11→w1,c1 ; d0:3+3+1=7→w7,c0 ; sum=714
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-16=-80
8x-16=-80 ; x+-2=-10 ; x=-10--2 ; x=-8
sorting_algorithms
sorting_algorithms:selection-sort
2, 8, 7, 9, 1
[1,8,7,9,2] ; [1,2,7,9,8] ; [1,2,7,9,8] ; [1,2,7,8,9]