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
list_summation
list_summation:pairwise
4, 6, 7, 8
4+6=10 ; 7+8=15 ; 10+15=25
list_summation
list_summation:left-to-right
0, 0, 9, 2
0+0=0 ; 0+9=9 ; 9+2=11
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5)
list_summation
list_summation:left-to-right
5, 7, 6, 7
5+7=12 ; 12+6=18 ; 18+7=25
multidigit_addition
multidigit_addition:left-to-right-partials
477+582
p100:400+500=900 ; p10:70+80=150 ; p1:7+2=9 ; sum=900+150+9=1059
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(2,5)
D:(2,4) ; R:(2,5)
sorting_algorithms
sorting_algorithms:insertion-sort
3, 6, 4, 2, 1
[3,6,4,2,1] ; [3,4,6,2,1] ; [2,3,4,6,1] ; [1,2,3,4,6]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
260+824
p100:200+800=1000 ; p10:60+20=80 ; p1:0+4=4 ; sum=1000+80+4=1084
list_summation
list_summation:left-to-right
1, 2, 7, 0
1+2=3 ; 3+7=10 ; 10+0=10
multidigit_addition
multidigit_addition:rounding-decomposition
735+229
round:740+229=969 ; adjust:969-5=964 ; sum=964
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)
sorting_algorithms
sorting_algorithms:merge-sort
9, 3, 4, 8, 6
[3,9,4,8,6] ; [3,4,8,9,6] ; [3,4,6,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
4, 2, 8, 5, 3
[4,5,8,2,3] ; [8,5,4,2,3] ; [3,5,4,2,8] ; [5,3,4,2,8] ; [2,3,4,5,8] ; [4,3,2,5,8] ; [2,3,4,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8]
list_summation
list_summation:pairwise
0, 7, 6, 0
0+7=7 ; 6+0=6 ; 7+6=13
linear_equation_solving
linear_equation_solving:inverse-ops
6x+12=-30
6x+12=-30 ; x=(-30-12)/6 ; x=-42/6 ; x=-7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,3)
R:(3,2) ; D:(4,2) ; R:(4,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(3,2)
D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2)
list_summation
list_summation:pairwise
5, 0, 4, 5
5+0=5 ; 4+5=9 ; 5+9=14
sorting_algorithms
sorting_algorithms:insertion-sort
6, 2, 7, 5, 3
[2,6,7,5,3] ; [2,6,7,5,3] ; [2,5,6,7,3] ; [2,3,5,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
229+420
d2:9+0+0=9→w9,c0 ; d1:2+2+0=4→w4,c0 ; d0:2+4+0=6→w6,c0 ; sum=649
base_conversion
base_conversion:via-binary
n=54,base=8
BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:6 ; OUT:66
list_summation
list_summation:right-to-left
4, 2, 5, 8
5+8=13 ; 2+13=15 ; 4+15=19
base_conversion
base_conversion:decomposition
n=63,base=16
TERM:3*16^1=48 ; TERM:15*16^0=15 ; OUT:3F
sorting_algorithms
sorting_algorithms:selection-sort
7, 2, 8, 0, 4
[0,2,8,7,4] ; [0,2,8,7,4] ; [0,2,4,7,8] ; [0,2,4,7,8]
list_summation
list_summation:right-to-left
9, 3, 8, 9
8+9=17 ; 3+17=20 ; 9+20=29
list_summation
list_summation:pairwise
2, 9, 0, 9
2+9=11 ; 0+9=9 ; 11+9=20
sorting_algorithms
sorting_algorithms:bubble-sort
9, 1, 4, 5, 8
[1,9,4,5,8] ; [1,4,9,5,8] ; [1,4,5,9,8] ; [1,4,5,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(5,5)
D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:heap-sort
4, 5, 8, 3, 7
[4,7,8,3,5] ; [8,7,4,3,5] ; [5,7,4,3,8] ; [7,5,4,3,8] ; [3,5,4,7,8] ; [5,3,4,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
sorting_algorithms
sorting_algorithms:heap-sort
7, 9, 6, 0, 8
[9,7,6,0,8] ; [9,8,6,0,7] ; [7,8,6,0,9] ; [8,7,6,0,9] ; [0,7,6,8,9] ; [7,0,6,8,9] ; [6,0,7,8,9] ; [0,6,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
2x+10=10
2x+10=10 ; x=(10-10)/2 ; x=0/2 ; x=0
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,4)
D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-72=-108
9x-72=-108 ; 9x=-36 ; x=-4
base_conversion
base_conversion:repeated-division
n=134,base=16
DIV:134/16=8,r:6 ; DIV:8/16=0,r:8 ; OUT:86
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 1, 6, 5
[3,1,9,6,5] ; [3,1,6,9,5] ; [3,1,6,5,9] ; [1,3,6,5,9] ; [1,3,5,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-24=32
8x-24=32 ; 8x=56 ; x=7
multidigit_addition
multidigit_addition:left-to-right-partials
755+524
p100:700+500=1200 ; p10:50+20=70 ; p1:5+4=9 ; sum=1200+70+9=1279
list_summation
list_summation:left-to-right
5, 1, 3, 8
5+1=6 ; 6+3=9 ; 9+8=17
sorting_algorithms
sorting_algorithms:merge-sort
9, 8, 2, 3, 1
[8,9,2,3,1] ; [2,3,8,9,1] ; [1,2,3,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=21
3x+9=21 ; x+3=7 ; x=7-3 ; x=4
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+12=16
4x+12=16 ; 4x=4 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
933+127
p100:900+100=1000 ; p10:30+20=50 ; p1:3+7=10 ; sum=1000+50+10=1060
multidigit_addition
multidigit_addition:right-to-left-carry
970+272
d2:0+2+0=2→w2,c0 ; d1:7+7+0=14→w4,c1 ; d0:9+2+1=12→w2,c1 ; sum=1242
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,5)
D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
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)
list_summation
list_summation:right-to-left
2, 9, 5, 8
5+8=13 ; 9+13=22 ; 2+22=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,5)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
9x-27=-45
9x-27=-45 ; x=(-45--27)/9 ; x=-18/9 ; x=-2
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+64=136
8x+64=136 ; 8x=72 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
694+279
p100:600+200=800 ; p10:90+70=160 ; p1:4+9=13 ; sum=800+160+13=973
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+28=63
7x+28=63 ; 7x=35 ; x=5
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 6, 2, 0
[1,8,6,2,0] ; [1,6,8,2,0] ; [1,6,2,8,0] ; [1,6,2,0,8] ; [1,2,6,0,8] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
base_conversion
base_conversion:repeated-division
n=183,base=4
DIV:183/4=45,r:3 ; DIV:45/4=11,r:1 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2313
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:insertion-sort
9, 3, 2, 0, 4
[3,9,2,0,4] ; [2,3,9,0,4] ; [0,2,3,9,4] ; [0,2,3,4,9]
base_conversion
base_conversion:via-binary
n=38,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:6 ; OUT:26
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=126
9x+45=126 ; x+5=14 ; x=14-5 ; x=9
sorting_algorithms
sorting_algorithms:insertion-sort
5, 4, 6, 3, 2
[4,5,6,3,2] ; [4,5,6,3,2] ; [3,4,5,6,2] ; [2,3,4,5,6]
base_conversion
base_conversion:repeated-division
n=146,base=8
DIV:146/8=18,r:2 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:222
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+42=14
7x+42=14 ; x+6=2 ; x=2-6 ; x=-4
list_summation
list_summation:left-to-right
2, 8, 7, 7
2+8=10 ; 10+7=17 ; 17+7=24
sorting_algorithms
sorting_algorithms:heap-sort
9, 2, 8, 7, 0
[9,7,8,2,0] ; [0,7,8,2,9] ; [8,7,0,2,9] ; [2,7,0,8,9] ; [7,2,0,8,9] ; [0,2,7,8,9] ; [2,0,7,8,9] ; [0,2,7,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+48=24
6x+48=24 ; 6x=-24 ; x=-4
list_summation
list_summation:pairwise
8, 2, 3, 1
8+2=10 ; 3+1=4 ; 10+4=14
sorting_algorithms
sorting_algorithms:bubble-sort
8, 5, 6, 2, 0
[5,8,6,2,0] ; [5,6,8,2,0] ; [5,6,2,8,0] ; [5,6,2,0,8] ; [5,2,6,0,8] ; [5,2,0,6,8] ; [2,5,0,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8]
list_summation
list_summation:pairwise
6, 5, 3, 1
6+5=11 ; 3+1=4 ; 11+4=15
multidigit_addition
multidigit_addition:rounding-decomposition
192+749
round:200+749=949 ; adjust:949-8=941 ; sum=941
sorting_algorithms
sorting_algorithms:merge-sort
1, 7, 0, 4, 6
[0,1,4,7,6] ; [0,1,4,6,7]
list_summation
list_summation:pairwise
0, 2, 1, 4
0+2=2 ; 1+4=5 ; 2+5=7
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)
list_summation
list_summation:left-to-right
1, 5, 4, 5
1+5=6 ; 6+4=10 ; 10+5=15
list_summation
list_summation:pairwise
8, 8, 8, 5
8+8=16 ; 8+5=13 ; 16+13=29
list_summation
list_summation:pairwise
1, 3, 7, 6
1+3=4 ; 7+6=13 ; 4+13=17
multidigit_addition
multidigit_addition:right-to-left-carry
265+483
d2:5+3+0=8→w8,c0 ; d1:6+8+0=14→w4,c1 ; d0:2+4+1=7→w7,c0 ; sum=748
list_summation
list_summation:pairwise
3, 9, 0, 8
3+9=12 ; 0+8=8 ; 12+8=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,3)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:left-to-right-partials
216+578
p100:200+500=700 ; p10:10+70=80 ; p1:6+8=14 ; sum=700+80+14=794
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(5,4)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
base_conversion
base_conversion:via-binary
n=224,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11100000
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+64=64
8x+64=64 ; x+8=8 ; x=8-8 ; x=0
linear_equation_solving
linear_equation_solving:inverse-ops
3x+24=24
3x+24=24 ; x=(24-24)/3 ; x=0/3 ; x=0
sorting_algorithms
sorting_algorithms:heap-sort
3, 8, 5, 1, 2
[8,3,5,1,2] ; [2,3,5,1,8] ; [5,3,2,1,8] ; [1,3,2,5,8] ; [3,1,2,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8]
base_conversion
base_conversion:repeated-division
n=91,base=2
DIV:91/2=45,r:1 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011011
list_summation
list_summation:right-to-left
3, 4, 8, 9
8+9=17 ; 4+17=21 ; 3+21=24
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; D:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:rounding-decomposition
352+592
round:360+592=952 ; adjust:952-8=944 ; sum=944
linear_equation_solving
linear_equation_solving:inverse-ops
4x-4=0
4x-4=0 ; x=(0--4)/4 ; x=4/4 ; x=1
linear_equation_solving
linear_equation_solving:inverse-ops
3x+21=-3
3x+21=-3 ; x=(-3-21)/3 ; x=-24/3 ; x=-8
list_summation
list_summation:left-to-right
8, 5, 1, 7
8+5=13 ; 13+1=14 ; 14+7=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
3, 1, 6, 9, 4
[1,3,6,9,4] ; [1,3,6,9,4] ; [1,3,6,9,4] ; [1,3,4,6,9]