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=21
7x+42=21 ; x+6=3 ; x=3-6 ; x=-3
sorting_algorithms
sorting_algorithms:selection-sort
1, 9, 3, 7, 4
[1,9,3,7,4] ; [1,3,9,7,4] ; [1,3,4,7,9] ; [1,3,4,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(5,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
0, 9, 4, 2, 3
[0,9,4,2,3] ; [0,2,4,9,3] ; [0,2,3,9,4] ; [0,2,3,4,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=184,base=16
DIV:184/16=11,r:8 ; DIV:11/16=0,r:11 ; OUT:B8
base_conversion
base_conversion:via-binary
n=67,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:3 ; OUT:43
list_summation
list_summation:left-to-right
1, 4, 0, 3
1+4=5 ; 5+0=5 ; 5+3=8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
list_summation
list_summation:pairwise
3, 9, 3, 1
3+9=12 ; 3+1=4 ; 12+4=16
sorting_algorithms
sorting_algorithms:selection-sort
4, 9, 5, 1, 2
[1,9,5,4,2] ; [1,2,5,4,9] ; [1,2,4,5,9] ; [1,2,4,5,9]
base_conversion
base_conversion:decomposition
n=253,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111101
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
linear_equation_solving
linear_equation_solving:inverse-ops
3x-6=-3
3x-6=-3 ; x=(-3--6)/3 ; x=3/3 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
816+612
p100:800+600=1400 ; p10:10+10=20 ; p1:6+2=8 ; sum=1400+20+8=1428
list_summation
list_summation:left-to-right
6, 1, 1, 2
6+1=7 ; 7+1=8 ; 8+2=10
sorting_algorithms
sorting_algorithms:heap-sort
0, 9, 4, 2, 8
[9,0,4,2,8] ; [9,8,4,2,0] ; [0,8,4,2,9] ; [8,0,4,2,9] ; [8,2,4,0,9] ; [0,2,4,8,9] ; [4,2,0,8,9] ; [0,2,4,8,9] ; [2,0,4,8,9] ; [0,2,4,8,9]
list_summation
list_summation:right-to-left
3, 6, 1, 6
1+6=7 ; 6+7=13 ; 3+13=16
list_summation
list_summation:pairwise
5, 1, 1, 9
5+1=6 ; 1+9=10 ; 6+10=16
sorting_algorithms
sorting_algorithms:heap-sort
1, 3, 7, 9, 4
[1,9,7,3,4] ; [9,1,7,3,4] ; [9,4,7,3,1] ; [1,4,7,3,9] ; [7,4,1,3,9] ; [3,4,1,7,9] ; [4,3,1,7,9] ; [1,3,4,7,9] ; [3,1,4,7,9] ; [1,3,4,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+42=91
7x+42=91 ; x+6=13 ; x=13-6 ; x=7
sorting_algorithms
sorting_algorithms:insertion-sort
7, 6, 8, 3, 0
[6,7,8,3,0] ; [6,7,8,3,0] ; [3,6,7,8,0] ; [0,3,6,7,8]
list_summation
list_summation:left-to-right
7, 0, 8, 6
7+0=7 ; 7+8=15 ; 15+6=21
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 2, 0, 6
[0,4,2,1,6] ; [0,1,2,4,6] ; [0,1,2,4,6] ; [0,1,2,4,6]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(5,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:right-to-left
9, 5, 1, 0
1+0=1 ; 5+1=6 ; 9+6=15
base_conversion
base_conversion:via-binary
n=193,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3001
sorting_algorithms
sorting_algorithms:selection-sort
9, 2, 3, 5, 4
[2,9,3,5,4] ; [2,3,9,5,4] ; [2,3,4,5,9] ; [2,3,4,5,9]
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 2, 9, 7
[2,8,3,9,7] ; [2,3,8,9,7] ; [2,3,7,9,8] ; [2,3,7,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-27=-72
9x-27=-72 ; 9x=-45 ; x=-5
list_summation
list_summation:right-to-left
0, 4, 4, 6
4+6=10 ; 4+10=14 ; 0+14=14
list_summation
list_summation:pairwise
6, 2, 1, 3
6+2=8 ; 1+3=4 ; 8+4=12
list_summation
list_summation:pairwise
9, 4, 7, 8
9+4=13 ; 7+8=15 ; 13+15=28
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(5,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=175,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2233
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-35=-98
7x-35=-98 ; 7x=-63 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+63=63
7x+63=63 ; 7x=0 ; x=0
multidigit_addition
multidigit_addition:right-to-left-carry
158+400
d2:8+0+0=8→w8,c0 ; d1:5+0+0=5→w5,c0 ; d0:1+4+0=5→w5,c0 ; sum=558
sorting_algorithms
sorting_algorithms:selection-sort
7, 2, 9, 3, 8
[2,7,9,3,8] ; [2,3,9,7,8] ; [2,3,7,9,8] ; [2,3,7,8,9]
list_summation
list_summation:pairwise
1, 8, 0, 9
1+8=9 ; 0+9=9 ; 9+9=18
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
base_conversion
base_conversion:decomposition
n=140,base=8
TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:214
multidigit_addition
multidigit_addition:rounding-decomposition
568+269
round:570+269=839 ; adjust:839-2=837 ; sum=837
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:pairwise
5, 3, 6, 4
5+3=8 ; 6+4=10 ; 8+10=18
base_conversion
base_conversion:via-binary
n=139,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:11 ; OUT:8B
multidigit_addition
multidigit_addition:left-to-right-partials
822+235
p100:800+200=1000 ; p10:20+30=50 ; p1:2+5=7 ; sum=1000+50+7=1057
base_conversion
base_conversion:repeated-division
n=34,base=16
DIV:34/16=2,r:2 ; DIV:2/16=0,r:2 ; OUT:22
list_summation
list_summation:left-to-right
9, 3, 4, 8
9+3=12 ; 12+4=16 ; 16+8=24
multidigit_addition
multidigit_addition:right-to-left-carry
813+629
d2:3+9+0=12→w2,c1 ; d1:1+2+1=4→w4,c0 ; d0:8+6+0=14→w4,c1 ; sum=1442
multidigit_addition
multidigit_addition:left-to-right-partials
168+489
p100:100+400=500 ; p10:60+80=140 ; p1:8+9=17 ; sum=500+140+17=657
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(2,3)
D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3)
list_summation
list_summation:right-to-left
6, 1, 2, 4
2+4=6 ; 1+6=7 ; 6+7=13
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(2,4)
R:(1,4) ; D:(2,4)
multidigit_addition
multidigit_addition:left-to-right-partials
193+438
p100:100+400=500 ; p10:90+30=120 ; p1:3+8=11 ; sum=500+120+11=631
list_summation
list_summation:pairwise
8, 3, 7, 0
8+3=11 ; 7+0=7 ; 11+7=18
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=-35
7x-42=-35 ; x=(-35--42)/7 ; x=7/7 ; x=1
linear_equation_solving
linear_equation_solving:inverse-ops
6x+54=102
6x+54=102 ; x=(102-54)/6 ; x=48/6 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-27=0
9x-27=0 ; 9x=27 ; x=3
list_summation
list_summation:pairwise
0, 7, 6, 1
0+7=7 ; 6+1=7 ; 7+7=14
base_conversion
base_conversion:decomposition
n=253,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111101
sorting_algorithms
sorting_algorithms:bubble-sort
9, 8, 1, 0, 2
[8,9,1,0,2] ; [8,1,9,0,2] ; [8,1,0,9,2] ; [8,1,0,2,9] ; [1,8,0,2,9] ; [1,0,8,2,9] ; [1,0,2,8,9] ; [0,1,2,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+72=96
8x+72=96 ; 8x=24 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
278+535
round:280+535=815 ; adjust:815-2=813 ; sum=813
list_summation
list_summation:pairwise
8, 1, 9, 1
8+1=9 ; 9+1=10 ; 9+10=19
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 5, 0, 7
[1,4,5,0,7] ; [1,4,5,0,7] ; [0,1,4,5,7] ; [0,1,4,5,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,5)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
9, 6, 1, 7
1+7=8 ; 6+8=14 ; 9+14=23
list_summation
list_summation:left-to-right
0, 9, 4, 4
0+9=9 ; 9+4=13 ; 13+4=17
multidigit_addition
multidigit_addition:left-to-right-partials
221+242
p100:200+200=400 ; p10:20+40=60 ; p1:1+2=3 ; sum=400+60+3=463
list_summation
list_summation:left-to-right
4, 2, 9, 2
4+2=6 ; 6+9=15 ; 15+2=17
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
base_conversion
base_conversion:repeated-division
n=235,base=4
DIV:235/4=58,r:3 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3223
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,2)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2)
sorting_algorithms
sorting_algorithms:merge-sort
4, 2, 8, 7, 0
[2,4,8,7,0] ; [2,4,7,8,0] ; [0,2,4,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
4, 3, 5, 2, 9
[3,4,5,2,9] ; [3,4,2,5,9] ; [2,3,4,5,9]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 8, 3, 0, 1
[2,3,8,0,1] ; [2,3,0,8,1] ; [2,3,0,1,8] ; [2,0,3,1,8] ; [2,0,1,3,8] ; [0,2,1,3,8] ; [0,1,2,3,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+16=48
4x+16=48 ; x+4=12 ; x=12-4 ; x=8
base_conversion
base_conversion:repeated-division
n=161,base=16
DIV:161/16=10,r:1 ; DIV:10/16=0,r:10 ; OUT:A1
base_conversion
base_conversion:repeated-division
n=214,base=4
DIV:214/4=53,r:2 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3112
base_conversion
base_conversion:via-binary
n=27,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:11 ; OUT:1B
list_summation
list_summation:left-to-right
6, 3, 0, 4
6+3=9 ; 9+0=9 ; 9+4=13
multidigit_addition
multidigit_addition:right-to-left-carry
185+536
d2:5+6+0=11→w1,c1 ; d1:8+3+1=12→w2,c1 ; d0:1+5+1=7→w7,c0 ; sum=721
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(3,3)
D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-45=-45
5x-45=-45 ; 5x=0 ; x=0
sorting_algorithms
sorting_algorithms:insertion-sort
3, 5, 6, 4, 8
[3,5,6,4,8] ; [3,5,6,4,8] ; [3,4,5,6,8] ; [3,4,5,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+9=27
9x+9=27 ; x+1=3 ; x=3-1 ; x=2
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=-77
7x-42=-77 ; x=(-77--42)/7 ; x=-35/7 ; x=-5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
101+645
p100:100+600=700 ; p10:0+40=40 ; p1:1+5=6 ; sum=700+40+6=746
multidigit_addition
multidigit_addition:rounding-decomposition
496+449
round:500+449=949 ; adjust:949-4=945 ; sum=945
multidigit_addition
multidigit_addition:rounding-decomposition
749+671
round:750+671=1421 ; adjust:1421-1=1420 ; sum=1420
multidigit_addition
multidigit_addition:left-to-right-partials
828+468
p100:800+400=1200 ; p10:20+60=80 ; p1:8+8=16 ; sum=1200+80+16=1296
multidigit_addition
multidigit_addition:left-to-right-partials
292+748
p100:200+700=900 ; p10:90+40=130 ; p1:2+8=10 ; sum=900+130+10=1040
list_summation
list_summation:right-to-left
5, 6, 6, 8
6+8=14 ; 6+14=20 ; 5+20=25
multidigit_addition
multidigit_addition:left-to-right-partials
714+187
p100:700+100=800 ; p10:10+80=90 ; p1:4+7=11 ; sum=800+90+11=901
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,4)
R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
linear_equation_solving
linear_equation_solving:inverse-ops
9x+18=-36
9x+18=-36 ; x=(-36-18)/9 ; x=-54/9 ; x=-6
list_summation
list_summation:right-to-left
8, 0, 1, 6
1+6=7 ; 0+7=7 ; 8+7=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+64=72
8x+64=72 ; x+8=9 ; x=9-8 ; x=1