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=(4,2) ; G=(5,5)
R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; D:(3,2) ; R:(3,3)
base_conversion
base_conversion:decomposition
n=118,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:1110110
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-18=-34
2x-18=-34 ; x+-9=-17 ; x=-17--9 ; x=-8
list_summation
list_summation:left-to-right
1, 2, 3, 6
1+2=3 ; 3+3=6 ; 6+6=12
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+18=32
2x+18=32 ; 2x=14 ; x=7
list_summation
list_summation:right-to-left
5, 0, 5, 4
5+4=9 ; 0+9=9 ; 5+9=14
base_conversion
base_conversion:repeated-division
n=69,base=16
DIV:69/16=4,r:5 ; DIV:4/16=0,r:4 ; OUT:45
sorting_algorithms
sorting_algorithms:bubble-sort
5, 0, 6, 8, 3
[0,5,6,8,3] ; [0,5,6,3,8] ; [0,5,3,6,8] ; [0,3,5,6,8]
base_conversion
base_conversion:via-binary
n=139,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:11 ; OUT:8B
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 2, 3, 5
[0,7,2,3,5] ; [0,2,7,3,5] ; [0,2,3,7,5] ; [0,2,3,5,7]
list_summation
list_summation:left-to-right
2, 3, 3, 9
2+3=5 ; 5+3=8 ; 8+9=17
linear_equation_solving
linear_equation_solving:inverse-ops
5x+25=45
5x+25=45 ; x=(45-25)/5 ; x=20/5 ; x=4
base_conversion
base_conversion:via-binary
n=148,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2110
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)
sorting_algorithms
sorting_algorithms:heap-sort
0, 4, 1, 5, 8
[0,8,1,5,4] ; [8,0,1,5,4] ; [8,5,1,0,4] ; [4,5,1,0,8] ; [5,4,1,0,8] ; [0,4,1,5,8] ; [4,0,1,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8]
list_summation
list_summation:left-to-right
3, 4, 0, 8
3+4=7 ; 7+0=7 ; 7+8=15
list_summation
list_summation:left-to-right
8, 8, 4, 1
8+8=16 ; 16+4=20 ; 20+1=21
multidigit_addition
multidigit_addition:left-to-right-partials
619+744
p100:600+700=1300 ; p10:10+40=50 ; p1:9+4=13 ; sum=1300+50+13=1363
linear_equation_solving
linear_equation_solving:inverse-ops
2x+0=16
2x+0=16 ; x=(16-0)/2 ; x=16/2 ; x=8
sorting_algorithms
sorting_algorithms:selection-sort
0, 8, 9, 5, 4
[0,8,9,5,4] ; [0,4,9,5,8] ; [0,4,5,9,8] ; [0,4,5,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 3, 2, 1
[9,2,3,0,1] ; [1,2,3,0,9] ; [3,2,1,0,9] ; [0,2,1,3,9] ; [2,0,1,3,9] ; [1,0,2,3,9] ; [0,1,2,3,9]
sorting_algorithms
sorting_algorithms:bubble-sort
9, 7, 0, 1, 6
[7,9,0,1,6] ; [7,0,9,1,6] ; [7,0,1,9,6] ; [7,0,1,6,9] ; [0,7,1,6,9] ; [0,1,7,6,9] ; [0,1,6,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,2)
R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:right-to-left
1, 0, 5, 7
5+7=12 ; 0+12=12 ; 1+12=13
sorting_algorithms
sorting_algorithms:heap-sort
6, 1, 3, 4, 0
[6,4,3,1,0] ; [0,4,3,1,6] ; [4,0,3,1,6] ; [4,1,3,0,6] ; [0,1,3,4,6] ; [3,1,0,4,6] ; [0,1,3,4,6] ; [1,0,3,4,6] ; [0,1,3,4,6]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,1)
R:(3,1) ; D:(4,1) ; D:(5,1)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
5, 9, 1, 8, 4
[1,5,8,9,4] ; [1,4,5,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-27=18
9x-27=18 ; x=(18--27)/9 ; x=45/9 ; x=5
list_summation
list_summation:right-to-left
6, 9, 3, 1
3+1=4 ; 9+4=13 ; 6+13=19
list_summation
list_summation:pairwise
0, 2, 1, 3
0+2=2 ; 1+3=4 ; 2+4=6
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-54=27
9x-54=27 ; 9x=81 ; x=9
base_conversion
base_conversion:repeated-division
n=97,base=8
DIV:97/8=12,r:1 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:141
base_conversion
base_conversion:repeated-division
n=174,base=2
DIV:174/2=87,r:0 ; 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:10101110
base_conversion
base_conversion:repeated-division
n=28,base=4
DIV:28/4=7,r:0 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:130
multidigit_addition
multidigit_addition:rounding-decomposition
777+966
round:780+966=1746 ; adjust:1746-3=1743 ; sum=1743
multidigit_addition
multidigit_addition:rounding-decomposition
323+190
round:330+190=520 ; adjust:520-7=513 ; sum=513
base_conversion
base_conversion:repeated-division
n=169,base=8
DIV:169/8=21,r:1 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:251
base_conversion
base_conversion:repeated-division
n=192,base=8
DIV:192/8=24,r:0 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:300
multidigit_addition
multidigit_addition:right-to-left-carry
350+702
d2:0+2+0=2→w2,c0 ; d1:5+0+0=5→w5,c0 ; d0:3+7+0=10→w0,c1 ; sum=1052
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(3,5)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
4, 1, 3, 1
3+1=4 ; 1+4=5 ; 4+5=9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
0, 6, 3, 2, 4
[0,6,2,3,4] ; [0,2,3,6,4] ; [0,2,3,4,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-56=-120
8x-56=-120 ; x+-7=-15 ; x=-15--7 ; x=-8
list_summation
list_summation:pairwise
3, 4, 9, 7
3+4=7 ; 9+7=16 ; 7+16=23
linear_equation_solving
linear_equation_solving:inverse-ops
7x-21=28
7x-21=28 ; x=(28--21)/7 ; x=49/7 ; x=7
linear_equation_solving
linear_equation_solving:inverse-ops
7x+63=112
7x+63=112 ; x=(112-63)/7 ; x=49/7 ; x=7
list_summation
list_summation:pairwise
2, 0, 7, 9
2+0=2 ; 7+9=16 ; 2+16=18
multidigit_addition
multidigit_addition:rounding-decomposition
392+460
round:400+460=860 ; adjust:860-8=852 ; sum=852
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,3)
D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 5, 6, 7, 0
[4,5,6,7,0] ; [4,5,6,7,0] ; [4,5,6,7,0] ; [0,4,5,6,7]
sorting_algorithms
sorting_algorithms:heap-sort
0, 5, 2, 3, 6
[0,6,2,3,5] ; [6,0,2,3,5] ; [6,5,2,3,0] ; [0,5,2,3,6] ; [5,0,2,3,6] ; [5,3,2,0,6] ; [0,3,2,5,6] ; [3,0,2,5,6] ; [2,0,3,5,6] ; [0,2,3,5,6]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 3, 5, 0, 9
[2,3,5,0,9] ; [2,3,5,0,9] ; [0,2,3,5,9] ; [0,2,3,5,9]
base_conversion
base_conversion:decomposition
n=19,base=2
TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,3)
R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:left-to-right-partials
885+275
p100:800+200=1000 ; p10:80+70=150 ; p1:5+5=10 ; sum=1000+150+10=1160
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=-14
7x-42=-14 ; x=(-14--42)/7 ; x=28/7 ; x=4
sorting_algorithms
sorting_algorithms:insertion-sort
2, 3, 7, 5, 4
[2,3,7,5,4] ; [2,3,7,5,4] ; [2,3,5,7,4] ; [2,3,4,5,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+18=-18
9x+18=-18 ; x+2=-2 ; x=-2-2 ; x=-4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(2,4)
D:(2,3) ; R:(2,4)
list_summation
list_summation:left-to-right
3, 1, 8, 4
3+1=4 ; 4+8=12 ; 12+4=16
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+4=-24
4x+4=-24 ; 4x=-28 ; x=-7
base_conversion
base_conversion:via-binary
n=100,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1100100
list_summation
list_summation:pairwise
2, 8, 5, 1
2+8=10 ; 5+1=6 ; 10+6=16
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(2,5)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(3,3)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
6, 2, 3, 1, 5
[1,2,3,6,5] ; [1,2,3,6,5] ; [1,2,3,6,5] ; [1,2,3,5,6]
sorting_algorithms
sorting_algorithms:merge-sort
2, 4, 0, 7, 3
[0,2,4,7,3] ; [0,2,3,4,7]
multidigit_addition
multidigit_addition:right-to-left-carry
271+525
d2:1+5+0=6→w6,c0 ; d1:7+2+0=9→w9,c0 ; d0:2+5+0=7→w7,c0 ; sum=796
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+0=25
5x+0=25 ; 5x=25 ; x=5
multidigit_addition
multidigit_addition:rounding-decomposition
379+616
round:380+616=996 ; adjust:996-1=995 ; sum=995
list_summation
list_summation:pairwise
4, 1, 2, 3
4+1=5 ; 2+3=5 ; 5+5=10
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+6=-12
3x+6=-12 ; x+2=-4 ; x=-4-2 ; x=-6
sorting_algorithms
sorting_algorithms:selection-sort
4, 7, 3, 0, 8
[0,7,3,4,8] ; [0,3,7,4,8] ; [0,3,4,7,8] ; [0,3,4,7,8]
list_summation
list_summation:right-to-left
5, 7, 6, 1
6+1=7 ; 7+7=14 ; 5+14=19
list_summation
list_summation:pairwise
4, 5, 1, 3
4+5=9 ; 1+3=4 ; 9+4=13
linear_equation_solving
linear_equation_solving:inverse-ops
3x-21=-30
3x-21=-30 ; x=(-30--21)/3 ; x=-9/3 ; x=-3
list_summation
list_summation:pairwise
5, 4, 5, 4
5+4=9 ; 5+4=9 ; 9+9=18
base_conversion
base_conversion:via-binary
n=125,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:175
multidigit_addition
multidigit_addition:left-to-right-partials
198+268
p100:100+200=300 ; p10:90+60=150 ; p1:8+8=16 ; sum=300+150+16=466
sorting_algorithms
sorting_algorithms:bubble-sort
7, 3, 8, 4, 2
[3,7,8,4,2] ; [3,7,4,8,2] ; [3,7,4,2,8] ; [3,4,7,2,8] ; [3,4,2,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
1, 9, 6, 3, 0
[1,9,6,3,0] ; [1,6,9,3,0] ; [1,3,6,9,0] ; [0,1,3,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
733+188
round:740+188=928 ; adjust:928-7=921 ; sum=921
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
sorting_algorithms
sorting_algorithms:bubble-sort
5, 2, 0, 3, 8
[2,5,0,3,8] ; [2,0,5,3,8] ; [2,0,3,5,8] ; [0,2,3,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
932+188
round:940+188=1128 ; adjust:1128-8=1120 ; sum=1120
base_conversion
base_conversion:repeated-division
n=137,base=8
DIV:137/8=17,r:1 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:211
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+0=-81
9x+0=-81 ; x+0=-9 ; x=-9-0 ; x=-9
list_summation
list_summation:right-to-left
0, 6, 1, 8
1+8=9 ; 6+9=15 ; 0+15=15
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-30=-12
6x-30=-12 ; 6x=18 ; x=3
list_summation
list_summation:right-to-left
0, 3, 7, 3
7+3=10 ; 3+10=13 ; 0+13=13
base_conversion
base_conversion:via-binary
n=143,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:15 ; OUT:8F
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(4,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 6, 9, 2
[3,9,6,7,2] ; [9,3,6,7,2] ; [9,7,6,3,2] ; [2,7,6,3,9] ; [7,2,6,3,9] ; [7,3,6,2,9] ; [2,3,6,7,9] ; [6,3,2,7,9] ; [2,3,6,7,9] ; [3,2,6,7,9] ; [2,3,6,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
643+872
d2:3+2+0=5→w5,c0 ; d1:4+7+0=11→w1,c1 ; d0:6+8+1=15→w5,c1 ; sum=1515