Datasets:
awni00
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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
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-42=-63
7x-42=-63 ; x+-6=-9 ; x=-9--6 ; x=-3
sorting_algorithms
sorting_algorithms:bubble-sort
7, 8, 9, 2, 6
[7,8,2,9,6] ; [7,8,2,6,9] ; [7,2,8,6,9] ; [7,2,6,8,9] ; [2,7,6,8,9] ; [2,6,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(4,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,3)
D:(3,1) ; R:(3,2) ; R:(3,3)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+28=12
4x+28=12 ; x=(12-28)/4 ; x=-16/4 ; x=-4
multidigit_addition
multidigit_addition:rounding-decomposition
513+415
round:520+415=935 ; adjust:935-7=928 ; sum=928
sorting_algorithms
sorting_algorithms:insertion-sort
3, 7, 8, 5, 2
[3,7,8,5,2] ; [3,7,8,5,2] ; [3,5,7,8,2] ; [2,3,5,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
102+818
d2:2+8+0=10→w0,c1 ; d1:0+1+1=2→w2,c0 ; d0:1+8+0=9→w9,c0 ; sum=920
multidigit_addition
multidigit_addition:right-to-left-carry
152+920
d2:2+0+0=2→w2,c0 ; d1:5+2+0=7→w7,c0 ; d0:1+9+0=10→w0,c1 ; sum=1072
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(4,3)
R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+12=-15
3x+12=-15 ; x+4=-5 ; x=-5-4 ; x=-9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,4)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
894+115
p100:800+100=900 ; p10:90+10=100 ; p1:4+5=9 ; sum=900+100+9=1009
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+0=36
4x+0=36 ; x+0=9 ; x=9-0 ; x=9
list_summation
list_summation:right-to-left
8, 7, 9, 7
9+7=16 ; 7+16=23 ; 8+23=31
base_conversion
base_conversion:via-binary
n=73,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:9 ; OUT:49
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 3, 1, 6
[0,7,3,1,6] ; [0,3,7,1,6] ; [0,1,3,7,6] ; [0,1,3,6,7]
list_summation
list_summation:right-to-left
9, 4, 1, 7
1+7=8 ; 4+8=12 ; 9+12=21
list_summation
list_summation:right-to-left
2, 9, 0, 2
0+2=2 ; 9+2=11 ; 2+11=13
list_summation
list_summation:right-to-left
2, 1, 7, 7
7+7=14 ; 1+14=15 ; 2+15=17
multidigit_addition
multidigit_addition:right-to-left-carry
703+769
d2:3+9+0=12→w2,c1 ; d1:0+6+1=7→w7,c0 ; d0:7+7+0=14→w4,c1 ; sum=1472
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,5)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:left-to-right
9, 9, 6, 9
9+9=18 ; 18+6=24 ; 24+9=33
sorting_algorithms
sorting_algorithms:heap-sort
7, 9, 6, 4, 8
[9,7,6,4,8] ; [9,8,6,4,7] ; [7,8,6,4,9] ; [8,7,6,4,9] ; [4,7,6,8,9] ; [7,4,6,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9]
list_summation
list_summation:left-to-right
8, 9, 9, 5
8+9=17 ; 17+9=26 ; 26+5=31
linear_equation_solving
linear_equation_solving:inverse-ops
9x-27=27
9x-27=27 ; x=(27--27)/9 ; x=54/9 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+18=-63
9x+18=-63 ; x+2=-7 ; x=-7-2 ; x=-9
multidigit_addition
multidigit_addition:right-to-left-carry
374+997
d2:4+7+0=11→w1,c1 ; d1:7+9+1=17→w7,c1 ; d0:3+9+1=13→w3,c1 ; sum=1371
sorting_algorithms
sorting_algorithms:merge-sort
7, 0, 2, 1, 6
[0,7,2,1,6] ; [0,7,1,2,6] ; [0,1,2,7,6] ; [0,1,2,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
150+483
round:150+483=633 ; adjust:633-0=633 ; sum=633
list_summation
list_summation:pairwise
4, 9, 6, 7
4+9=13 ; 6+7=13 ; 13+13=26
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
7x+28=-21
7x+28=-21 ; x=(-21-28)/7 ; x=-49/7 ; x=-7
list_summation
list_summation:right-to-left
8, 8, 6, 5
6+5=11 ; 8+11=19 ; 8+19=27
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,4)
D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
base_conversion
base_conversion:decomposition
n=176,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10110000
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(2,5)
D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5)
multidigit_addition
multidigit_addition:rounding-decomposition
369+996
round:370+996=1366 ; adjust:1366-1=1365 ; sum=1365
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(2,2)
D:(1,1) ; D:(2,1) ; R:(2,2)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+45=50
5x+45=50 ; x+9=10 ; x=10-9 ; x=1
linear_equation_solving
linear_equation_solving:inverse-ops
5x-35=-10
5x-35=-10 ; x=(-10--35)/5 ; x=25/5 ; x=5
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(2,5)
D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,4)
R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:selection-sort
4, 9, 0, 7, 3
[0,9,4,7,3] ; [0,3,4,7,9] ; [0,3,4,7,9] ; [0,3,4,7,9]
base_conversion
base_conversion:decomposition
n=224,base=4
TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3200
list_summation
list_summation:right-to-left
5, 9, 9, 0
9+0=9 ; 9+9=18 ; 5+18=23
linear_equation_solving
linear_equation_solving:inverse-ops
5x+15=15
5x+15=15 ; x=(15-15)/5 ; x=0/5 ; x=0
sorting_algorithms
sorting_algorithms:insertion-sort
3, 8, 6, 0, 4
[3,8,6,0,4] ; [3,6,8,0,4] ; [0,3,6,8,4] ; [0,3,4,6,8]
list_summation
list_summation:right-to-left
9, 0, 3, 0
3+0=3 ; 0+3=3 ; 9+3=12
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(3,5)
D:(2,4) ; D:(3,4) ; R:(3,5)
sorting_algorithms
sorting_algorithms:insertion-sort
1, 6, 2, 9, 5
[1,6,2,9,5] ; [1,2,6,9,5] ; [1,2,6,9,5] ; [1,2,5,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
392+602
d2:2+2+0=4→w4,c0 ; d1:9+0+0=9→w9,c0 ; d0:3+6+0=9→w9,c0 ; sum=994
list_summation
list_summation:right-to-left
5, 0, 3, 7
3+7=10 ; 0+10=10 ; 5+10=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-27
3x-27=-27 ; x+-9=-9 ; x=-9--9 ; x=0
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(5,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
4, 2, 3, 0, 6
[2,4,3,0,6] ; [2,3,4,0,6] ; [2,3,0,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,4)
R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
673+230
round:680+230=910 ; adjust:910-7=903 ; sum=903
list_summation
list_summation:pairwise
7, 6, 3, 3
7+6=13 ; 3+3=6 ; 13+6=19
multidigit_addition
multidigit_addition:right-to-left-carry
778+755
d2:8+5+0=13→w3,c1 ; d1:7+5+1=13→w3,c1 ; d0:7+7+1=15→w5,c1 ; sum=1533
sorting_algorithms
sorting_algorithms:merge-sort
8, 7, 3, 4, 6
[7,8,3,4,6] ; [3,4,7,8,6] ; [3,4,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+3=0
3x+3=0 ; 3x=-3 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
2x+0=18
2x+0=18 ; x=(18-0)/2 ; x=18/2 ; x=9
list_summation
list_summation:left-to-right
2, 2, 5, 1
2+2=4 ; 4+5=9 ; 9+1=10
base_conversion
base_conversion:decomposition
n=85,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1111
list_summation
list_summation:left-to-right
4, 2, 2, 3
4+2=6 ; 6+2=8 ; 8+3=11
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,3)
D:(4,2) ; D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:merge-sort
1, 0, 9, 6, 7
[0,1,9,6,7] ; [0,1,6,9,7] ; [0,1,6,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 1, 5, 7, 8
[1,2,5,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+54=-18
9x+54=-18 ; x+6=-2 ; x=-2-6 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-42=-36
6x-42=-36 ; 6x=6 ; x=1
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,4)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
2, 8, 5, 1, 0
[2,8,1,5,0] ; [1,2,5,8,0] ; [0,1,2,5,8]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 6, 3, 9, 5
[2,6,3,9,5] ; [2,3,6,9,5] ; [2,3,6,9,5] ; [2,3,5,6,9]
base_conversion
base_conversion:decomposition
n=159,base=16
TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F
base_conversion
base_conversion:via-binary
n=178,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2302
sorting_algorithms
sorting_algorithms:insertion-sort
1, 5, 0, 8, 6
[1,5,0,8,6] ; [0,1,5,8,6] ; [0,1,5,8,6] ; [0,1,5,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-36=-27
9x-36=-27 ; x=(-27--36)/9 ; x=9/9 ; x=1
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
multidigit_addition
multidigit_addition:right-to-left-carry
527+828
d2:7+8+0=15→w5,c1 ; d1:2+2+1=5→w5,c0 ; d0:5+8+0=13→w3,c1 ; sum=1355
multidigit_addition
multidigit_addition:right-to-left-carry
800+901
d2:0+1+0=1→w1,c0 ; d1:0+0+0=0→w0,c0 ; d0:8+9+0=17→w7,c1 ; sum=1701
base_conversion
base_conversion:decomposition
n=31,base=16
TERM:1*16^1=16 ; TERM:15*16^0=15 ; OUT:1F
list_summation
list_summation:right-to-left
2, 2, 7, 9
7+9=16 ; 2+16=18 ; 2+18=20
base_conversion
base_conversion:via-binary
n=6,base=4
BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12
sorting_algorithms
sorting_algorithms:merge-sort
0, 4, 5, 7, 3
[0,3,4,5,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:heap-sort
5, 9, 3, 2, 8
[9,5,3,2,8] ; [9,8,3,2,5] ; [5,8,3,2,9] ; [8,5,3,2,9] ; [2,5,3,8,9] ; [5,2,3,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-14=-28
7x-14=-28 ; x+-2=-4 ; x=-4--2 ; x=-2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
list_summation
list_summation:left-to-right
8, 9, 1, 9
8+9=17 ; 17+1=18 ; 18+9=27
list_summation
list_summation:pairwise
2, 1, 2, 2
2+1=3 ; 2+2=4 ; 3+4=7
linear_equation_solving
linear_equation_solving:inverse-ops
9x+72=144
9x+72=144 ; x=(144-72)/9 ; x=72/9 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+0=18
3x+0=18 ; 3x=18 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
6, 5, 0, 7, 8
[5,6,0,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8]
sorting_algorithms
sorting_algorithms:heap-sort
8, 6, 7, 1, 9
[8,9,7,1,6] ; [9,8,7,1,6] ; [6,8,7,1,9] ; [8,6,7,1,9] ; [1,6,7,8,9] ; [7,6,1,8,9] ; [1,6,7,8,9] ; [6,1,7,8,9] ; [1,6,7,8,9]
list_summation
list_summation:pairwise
0, 4, 1, 0
0+4=4 ; 1+0=1 ; 4+1=5
base_conversion
base_conversion:decomposition
n=58,base=2
TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:111010