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:bubble-sort
9, 3, 2, 6, 5
[3,9,2,6,5] ; [3,2,9,6,5] ; [3,2,6,9,5] ; [3,2,6,5,9] ; [2,3,6,5,9] ; [2,3,5,6,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:decomposition
n=166,base=16
TERM:10*16^1=160 ; TERM:6*16^0=6 ; OUT:A6
multidigit_addition
multidigit_addition:rounding-decomposition
932+217
round:940+217=1157 ; adjust:1157-8=1149 ; sum=1149
multidigit_addition
multidigit_addition:left-to-right-partials
956+466
p100:900+400=1300 ; p10:50+60=110 ; p1:6+6=12 ; sum=1300+110+12=1422
linear_equation_solving
linear_equation_solving:inverse-ops
4x+4=-32
4x+4=-32 ; x=(-32-4)/4 ; x=-36/4 ; x=-9
list_summation
list_summation:left-to-right
0, 1, 1, 7
0+1=1 ; 1+1=2 ; 2+7=9
multidigit_addition
multidigit_addition:right-to-left-carry
587+460
d2:7+0+0=7→w7,c0 ; d1:8+6+0=14→w4,c1 ; d0:5+4+1=10→w0,c1 ; sum=1047
multidigit_addition
multidigit_addition:rounding-decomposition
303+618
round:310+618=928 ; adjust:928-7=921 ; sum=921
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
multidigit_addition
multidigit_addition:rounding-decomposition
185+949
round:190+949=1139 ; adjust:1139-5=1134 ; sum=1134
list_summation
list_summation:left-to-right
3, 1, 9, 2
3+1=4 ; 4+9=13 ; 13+2=15
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:merge-sort
7, 8, 6, 2, 3
[7,8,2,6,3] ; [2,6,7,8,3] ; [2,3,6,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 0, 6, 3, 8
[0,9,6,3,8] ; [0,6,9,3,8] ; [0,3,6,9,8] ; [0,3,6,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,1)
D:(3,0) ; R:(3,1)
list_summation
list_summation:right-to-left
4, 0, 1, 8
1+8=9 ; 0+9=9 ; 4+9=13
base_conversion
base_conversion:decomposition
n=151,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2113
list_summation
list_summation:left-to-right
6, 7, 6, 1
6+7=13 ; 13+6=19 ; 19+1=20
sorting_algorithms
sorting_algorithms:selection-sort
6, 4, 2, 5, 3
[2,4,6,5,3] ; [2,3,6,5,4] ; [2,3,4,5,6] ; [2,3,4,5,6]
sorting_algorithms
sorting_algorithms:insertion-sort
4, 7, 8, 0, 6
[4,7,8,0,6] ; [4,7,8,0,6] ; [0,4,7,8,6] ; [0,4,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
base_conversion
base_conversion:repeated-division
n=47,base=8
DIV:47/8=5,r:7 ; DIV:5/8=0,r:5 ; OUT:57
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
778+184
round:780+184=964 ; adjust:964-2=962 ; sum=962
sorting_algorithms
sorting_algorithms:insertion-sort
6, 3, 7, 1, 9
[3,6,7,1,9] ; [3,6,7,1,9] ; [1,3,6,7,9] ; [1,3,6,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
0, 6, 8, 4, 3
[0,6,4,8,3] ; [0,6,4,3,8] ; [0,4,6,3,8] ; [0,4,3,6,8] ; [0,3,4,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+7=49
7x+7=49 ; x=(49-7)/7 ; x=42/7 ; x=6
multidigit_addition
multidigit_addition:left-to-right-partials
424+478
p100:400+400=800 ; p10:20+70=90 ; p1:4+8=12 ; sum=800+90+12=902
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(1,4)
R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:bubble-sort
3, 2, 8, 1, 9
[2,3,8,1,9] ; [2,3,1,8,9] ; [2,1,3,8,9] ; [1,2,3,8,9]
base_conversion
base_conversion:decomposition
n=40,base=16
TERM:2*16^1=32 ; TERM:8*16^0=8 ; OUT:28
multidigit_addition
multidigit_addition:left-to-right-partials
861+867
p100:800+800=1600 ; p10:60+60=120 ; p1:1+7=8 ; sum=1600+120+8=1728
list_summation
list_summation:pairwise
9, 3, 3, 3
9+3=12 ; 3+3=6 ; 12+6=18
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
sorting_algorithms
sorting_algorithms:merge-sort
2, 1, 0, 9, 4
[1,2,0,9,4] ; [0,1,2,9,4] ; [0,1,2,4,9]
base_conversion
base_conversion:via-binary
n=195,base=16
BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:3 ; OUT:C3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,3)
D:(1,2) ; R:(1,3)
multidigit_addition
multidigit_addition:left-to-right-partials
529+733
p100:500+700=1200 ; p10:20+30=50 ; p1:9+3=12 ; sum=1200+50+12=1262
base_conversion
base_conversion:via-binary
n=217,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:331
sorting_algorithms
sorting_algorithms:merge-sort
7, 3, 9, 2, 1
[3,7,9,2,1] ; [3,7,2,9,1] ; [2,3,7,9,1] ; [1,2,3,7,9]
base_conversion
base_conversion:repeated-division
n=95,base=4
DIV:95/4=23,r:3 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1133
sorting_algorithms
sorting_algorithms:heap-sort
2, 8, 3, 1, 0
[8,2,3,1,0] ; [0,2,3,1,8] ; [3,2,0,1,8] ; [1,2,0,3,8] ; [2,1,0,3,8] ; [0,1,2,3,8] ; [1,0,2,3,8] ; [0,1,2,3,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(5,5)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
7, 5, 9, 3
7+5=12 ; 9+3=12 ; 12+12=24
multidigit_addition
multidigit_addition:right-to-left-carry
376+388
d2:6+8+0=14→w4,c1 ; d1:7+8+1=16→w6,c1 ; d0:3+3+1=7→w7,c0 ; sum=764
list_summation
list_summation:left-to-right
2, 4, 8, 0
2+4=6 ; 6+8=14 ; 14+0=14
base_conversion
base_conversion:via-binary
n=160,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:0 ; OUT:A0
base_conversion
base_conversion:via-binary
n=21,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-63=-56
7x-63=-56 ; 7x=7 ; x=1
list_summation
list_summation:left-to-right
7, 8, 2, 4
7+8=15 ; 15+2=17 ; 17+4=21
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 2, 3, 7
[4,6,2,3,7] ; [2,4,6,3,7] ; [2,3,4,6,7] ; [2,3,4,6,7]
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)
list_summation
list_summation:pairwise
2, 2, 6, 2
2+2=4 ; 6+2=8 ; 4+8=12
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+0=-8
8x+0=-8 ; 8x=-8 ; x=-1
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+12=48
4x+12=48 ; x+3=12 ; x=12-3 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-24=-48
6x-24=-48 ; 6x=-24 ; x=-4
sorting_algorithms
sorting_algorithms:heap-sort
8, 3, 6, 0, 9
[8,9,6,0,3] ; [9,8,6,0,3] ; [3,8,6,0,9] ; [8,3,6,0,9] ; [0,3,6,8,9] ; [6,3,0,8,9] ; [0,3,6,8,9] ; [3,0,6,8,9] ; [0,3,6,8,9]
list_summation
list_summation:left-to-right
4, 8, 7, 4
4+8=12 ; 12+7=19 ; 19+4=23
sorting_algorithms
sorting_algorithms:selection-sort
4, 7, 8, 2, 0
[0,7,8,2,4] ; [0,2,8,7,4] ; [0,2,4,7,8] ; [0,2,4,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
7, 1, 9, 4, 0
[1,7,9,4,0] ; [1,7,4,9,0] ; [1,7,4,0,9] ; [1,4,7,0,9] ; [1,4,0,7,9] ; [1,0,4,7,9] ; [0,1,4,7,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,3)
R:(3,3) ; D:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=-105
7x-42=-105 ; x=(-105--42)/7 ; x=-63/7 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+36=48
4x+36=48 ; 4x=12 ; x=3
multidigit_addition
multidigit_addition:right-to-left-carry
321+711
d2:1+1+0=2→w2,c0 ; d1:2+1+0=3→w3,c0 ; d0:3+7+0=10→w0,c1 ; sum=1032
sorting_algorithms
sorting_algorithms:heap-sort
3, 5, 7, 0, 8
[3,8,7,0,5] ; [8,3,7,0,5] ; [8,5,7,0,3] ; [3,5,7,0,8] ; [7,5,3,0,8] ; [0,5,3,7,8] ; [5,0,3,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8]
list_summation
list_summation:left-to-right
5, 7, 3, 2
5+7=12 ; 12+3=15 ; 15+2=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-72=-144
9x-72=-144 ; x+-8=-16 ; x=-16--8 ; x=-8
base_conversion
base_conversion:decomposition
n=61,base=2
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:111101
list_summation
list_summation:right-to-left
3, 1, 2, 9
2+9=11 ; 1+11=12 ; 3+12=15
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(5,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
1, 0, 6, 4, 8
[0,1,6,4,8] ; [0,1,4,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+3=-3
3x+3=-3 ; x+1=-1 ; x=-1-1 ; x=-2
sorting_algorithms
sorting_algorithms:heap-sort
0, 8, 5, 2, 3
[8,0,5,2,3] ; [8,3,5,2,0] ; [0,3,5,2,8] ; [5,3,0,2,8] ; [2,3,0,5,8] ; [3,2,0,5,8] ; [0,2,3,5,8] ; [2,0,3,5,8] ; [0,2,3,5,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+14=63
7x+14=63 ; x+2=9 ; x=9-2 ; x=7
sorting_algorithms
sorting_algorithms:heap-sort
4, 7, 0, 3, 1
[7,4,0,3,1] ; [1,4,0,3,7] ; [4,1,0,3,7] ; [4,3,0,1,7] ; [1,3,0,4,7] ; [3,1,0,4,7] ; [0,1,3,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7]
base_conversion
base_conversion:repeated-division
n=160,base=16
DIV:160/16=10,r:0 ; DIV:10/16=0,r:10 ; OUT:A0
multidigit_addition
multidigit_addition:right-to-left-carry
406+876
d2:6+6+0=12→w2,c1 ; d1:0+7+1=8→w8,c0 ; d0:4+8+0=12→w2,c1 ; sum=1282
base_conversion
base_conversion:repeated-division
n=150,base=4
DIV:150/4=37,r:2 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2112
list_summation
list_summation:left-to-right
0, 8, 3, 3
0+8=8 ; 8+3=11 ; 11+3=14
multidigit_addition
multidigit_addition:right-to-left-carry
412+358
d2:2+8+0=10→w0,c1 ; d1:1+5+1=7→w7,c0 ; d0:4+3+0=7→w7,c0 ; sum=770
base_conversion
base_conversion:via-binary
n=10,base=8
BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12
list_summation
list_summation:right-to-left
2, 1, 3, 6
3+6=9 ; 1+9=10 ; 2+10=12
list_summation
list_summation:left-to-right
7, 3, 7, 3
7+3=10 ; 10+7=17 ; 17+3=20
list_summation
list_summation:right-to-left
0, 7, 6, 8
6+8=14 ; 7+14=21 ; 0+21=21
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+24=-8
8x+24=-8 ; 8x=-32 ; x=-4
linear_equation_solving
linear_equation_solving:inverse-ops
5x-20=-25
5x-20=-25 ; x=(-25--20)/5 ; x=-5/5 ; x=-1
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-15=30
5x-15=30 ; x+-3=6 ; x=6--3 ; x=9
linear_equation_solving
linear_equation_solving:inverse-ops
6x+0=-36
6x+0=-36 ; x=(-36-0)/6 ; x=-36/6 ; x=-6
base_conversion
base_conversion:repeated-division
n=145,base=16
DIV:145/16=9,r:1 ; DIV:9/16=0,r:9 ; OUT:91
multidigit_addition
multidigit_addition:rounding-decomposition
760+943
round:760+943=1703 ; adjust:1703-0=1703 ; sum=1703
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 5, 2, 7
[1,6,5,2,7] ; [1,2,5,6,7] ; [1,2,5,6,7] ; [1,2,5,6,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(4,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
3x-3=-3
3x-3=-3 ; x=(-3--3)/3 ; x=0/3 ; x=0
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=-96
8x-24=-96 ; x=(-96--24)/8 ; x=-72/8 ; x=-9
multidigit_addition
multidigit_addition:left-to-right-partials
860+643
p100:800+600=1400 ; p10:60+40=100 ; p1:0+3=3 ; sum=1400+100+3=1503
base_conversion
base_conversion:repeated-division
n=59,base=8
DIV:59/8=7,r:3 ; DIV:7/8=0,r:7 ; OUT:73