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:insertion-sort
8, 0, 1, 7, 9
[0,8,1,7,9] ; [0,1,8,7,9] ; [0,1,7,8,9] ; [0,1,7,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(5,3)
D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3)
list_summation
list_summation:right-to-left
5, 6, 8, 1
8+1=9 ; 6+9=15 ; 5+15=20
multidigit_addition
multidigit_addition:left-to-right-partials
945+365
p100:900+300=1200 ; p10:40+60=100 ; p1:5+5=10 ; sum=1200+100+10=1310
list_summation
list_summation:pairwise
3, 1, 1, 3
3+1=4 ; 1+3=4 ; 4+4=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+16=-4
4x+16=-4 ; 4x=-20 ; x=-5
list_summation
list_summation:pairwise
6, 2, 8, 3
6+2=8 ; 8+3=11 ; 8+11=19
sorting_algorithms
sorting_algorithms:merge-sort
8, 5, 9, 2, 0
[5,8,9,2,0] ; [5,8,2,9,0] ; [2,5,8,9,0] ; [0,2,5,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
8, 6, 7, 1, 3
[3,6,7,1,8] ; [7,6,3,1,8] ; [1,6,3,7,8] ; [6,1,3,7,8] ; [3,1,6,7,8] ; [1,3,6,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
780+430
p100:700+400=1100 ; p10:80+30=110 ; p1:0+0=0 ; sum=1100+110+0=1210
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,5)
D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
0, 8, 3, 7, 6
[0,3,8,7,6] ; [0,3,7,8,6] ; [0,3,7,6,8] ; [0,3,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
852+321
round:860+321=1181 ; adjust:1181-8=1173 ; sum=1173
list_summation
list_summation:left-to-right
2, 5, 5, 8
2+5=7 ; 7+5=12 ; 12+8=20
multidigit_addition
multidigit_addition:left-to-right-partials
148+289
p100:100+200=300 ; p10:40+80=120 ; p1:8+9=17 ; sum=300+120+17=437
sorting_algorithms
sorting_algorithms:bubble-sort
8, 4, 1, 5, 6
[4,8,1,5,6] ; [4,1,8,5,6] ; [4,1,5,8,6] ; [4,1,5,6,8] ; [1,4,5,6,8]
list_summation
list_summation:right-to-left
5, 9, 7, 7
7+7=14 ; 9+14=23 ; 5+23=28
list_summation
list_summation:left-to-right
5, 0, 1, 5
5+0=5 ; 5+1=6 ; 6+5=11
multidigit_addition
multidigit_addition:left-to-right-partials
398+939
p100:300+900=1200 ; p10:90+30=120 ; p1:8+9=17 ; sum=1200+120+17=1337
multidigit_addition
multidigit_addition:rounding-decomposition
695+932
round:700+932=1632 ; adjust:1632-5=1627 ; sum=1627
list_summation
list_summation:pairwise
8, 1, 7, 5
8+1=9 ; 7+5=12 ; 9+12=21
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+14=24
2x+14=24 ; 2x=10 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
9x+45=90
9x+45=90 ; x=(90-45)/9 ; x=45/9 ; x=5
list_summation
list_summation:pairwise
8, 0, 6, 0
8+0=8 ; 6+0=6 ; 8+6=14
base_conversion
base_conversion:decomposition
n=116,base=4
TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:1310
multidigit_addition
multidigit_addition:right-to-left-carry
880+767
d2:0+7+0=7→w7,c0 ; d1:8+6+0=14→w4,c1 ; d0:8+7+1=16→w6,c1 ; sum=1647
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 0, 5, 9
[0,4,1,5,9] ; [0,1,4,5,9] ; [0,1,4,5,9] ; [0,1,4,5,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-28=-28
4x-28=-28 ; x+-7=-7 ; x=-7--7 ; x=0
base_conversion
base_conversion:repeated-division
n=32,base=4
DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:200
list_summation
list_summation:left-to-right
7, 5, 3, 9
7+5=12 ; 12+3=15 ; 15+9=24
list_summation
list_summation:left-to-right
7, 2, 3, 5
7+2=9 ; 9+3=12 ; 12+5=17
base_conversion
base_conversion:decomposition
n=208,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:11010000
list_summation
list_summation:left-to-right
8, 3, 7, 6
8+3=11 ; 11+7=18 ; 18+6=24
list_summation
list_summation:pairwise
4, 7, 8, 0
4+7=11 ; 8+0=8 ; 11+8=19
multidigit_addition
multidigit_addition:left-to-right-partials
970+850
p100:900+800=1700 ; p10:70+50=120 ; p1:0+0=0 ; sum=1700+120+0=1820
base_conversion
base_conversion:repeated-division
n=215,base=16
DIV:215/16=13,r:7 ; DIV:13/16=0,r:13 ; OUT:D7
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+49=14
7x+49=14 ; x+7=2 ; x=2-7 ; x=-5
sorting_algorithms
sorting_algorithms:bubble-sort
5, 3, 8, 1, 4
[3,5,8,1,4] ; [3,5,1,8,4] ; [3,5,1,4,8] ; [3,1,5,4,8] ; [3,1,4,5,8] ; [1,3,4,5,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
list_summation
list_summation:right-to-left
9, 4, 4, 9
4+9=13 ; 4+13=17 ; 9+17=26
base_conversion
base_conversion:repeated-division
n=70,base=16
DIV:70/16=4,r:6 ; DIV:4/16=0,r:4 ; OUT:46
list_summation
list_summation:left-to-right
2, 4, 6, 9
2+4=6 ; 6+6=12 ; 12+9=21
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-24=-66
6x-24=-66 ; x+-4=-11 ; x=-11--4 ; x=-7
base_conversion
base_conversion:via-binary
n=146,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2102
sorting_algorithms
sorting_algorithms:insertion-sort
2, 8, 3, 9, 5
[2,8,3,9,5] ; [2,3,8,9,5] ; [2,3,8,9,5] ; [2,3,5,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+45=65
5x+45=65 ; 5x=20 ; x=4
multidigit_addition
multidigit_addition:rounding-decomposition
133+150
round:140+150=290 ; adjust:290-7=283 ; sum=283
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(4,3)
R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
list_summation
list_summation:pairwise
5, 4, 6, 9
5+4=9 ; 6+9=15 ; 9+15=24
multidigit_addition
multidigit_addition:left-to-right-partials
121+233
p100:100+200=300 ; p10:20+30=50 ; p1:1+3=4 ; sum=300+50+4=354
base_conversion
base_conversion:decomposition
n=228,base=16
TERM:14*16^1=224 ; TERM:4*16^0=4 ; OUT:E4
multidigit_addition
multidigit_addition:left-to-right-partials
754+146
p100:700+100=800 ; p10:50+40=90 ; p1:4+6=10 ; sum=800+90+10=900
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,2)
D:(3,0) ; R:(3,1) ; R:(3,2)
base_conversion
base_conversion:via-binary
n=111,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1101111
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+0=6
2x+0=6 ; x+0=3 ; x=3-0 ; x=3
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 6, 7, 5
[3,8,6,7,5] ; [3,5,6,7,8] ; [3,5,6,7,8] ; [3,5,6,7,8]
base_conversion
base_conversion:via-binary
n=249,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3321
sorting_algorithms
sorting_algorithms:heap-sort
1, 8, 7, 4, 3
[8,1,7,4,3] ; [8,4,7,1,3] ; [3,4,7,1,8] ; [7,4,3,1,8] ; [1,4,3,7,8] ; [4,1,3,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8]
list_summation
list_summation:pairwise
7, 3, 0, 4
7+3=10 ; 0+4=4 ; 10+4=14
multidigit_addition
multidigit_addition:rounding-decomposition
841+421
round:850+421=1271 ; adjust:1271-9=1262 ; sum=1262
list_summation
list_summation:pairwise
9, 7, 6, 6
9+7=16 ; 6+6=12 ; 16+12=28
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-54=-108
6x-54=-108 ; x+-9=-18 ; x=-18--9 ; x=-9
list_summation
list_summation:left-to-right
9, 0, 5, 7
9+0=9 ; 9+5=14 ; 14+7=21
multidigit_addition
multidigit_addition:right-to-left-carry
860+904
d2:0+4+0=4→w4,c0 ; d1:6+0+0=6→w6,c0 ; d0:8+9+0=17→w7,c1 ; sum=1764
multidigit_addition
multidigit_addition:left-to-right-partials
789+854
p100:700+800=1500 ; p10:80+50=130 ; p1:9+4=13 ; sum=1500+130+13=1643
linear_equation_solving
linear_equation_solving:inverse-ops
8x-32=-64
8x-32=-64 ; x=(-64--32)/8 ; x=-32/8 ; x=-4
base_conversion
base_conversion:decomposition
n=46,base=8
TERM:5*8^1=40 ; TERM:6*8^0=6 ; OUT:56
sorting_algorithms
sorting_algorithms:bubble-sort
8, 3, 6, 7, 0
[3,8,6,7,0] ; [3,6,8,7,0] ; [3,6,7,8,0] ; [3,6,7,0,8] ; [3,6,0,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8]
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:heap-sort
5, 1, 8, 4, 0
[5,4,8,1,0] ; [8,4,5,1,0] ; [0,4,5,1,8] ; [5,4,0,1,8] ; [1,4,0,5,8] ; [4,1,0,5,8] ; [0,1,4,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
628+610
round:630+610=1240 ; adjust:1240-2=1238 ; sum=1238
list_summation
list_summation:pairwise
6, 8, 6, 1
6+8=14 ; 6+1=7 ; 14+7=21
linear_equation_solving
linear_equation_solving:inverse-ops
2x+16=22
2x+16=22 ; x=(22-16)/2 ; x=6/2 ; x=3
base_conversion
base_conversion:via-binary
n=217,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121
multidigit_addition
multidigit_addition:right-to-left-carry
813+182
d2:3+2+0=5→w5,c0 ; d1:1+8+0=9→w9,c0 ; d0:8+1+0=9→w9,c0 ; sum=995
list_summation
list_summation:pairwise
8, 4, 2, 5
8+4=12 ; 2+5=7 ; 12+7=19
sorting_algorithms
sorting_algorithms:bubble-sort
1, 5, 0, 7, 4
[1,0,5,7,4] ; [1,0,5,4,7] ; [0,1,5,4,7] ; [0,1,4,5,7]
multidigit_addition
multidigit_addition:rounding-decomposition
662+140
round:670+140=810 ; adjust:810-8=802 ; sum=802
linear_equation_solving
linear_equation_solving:inverse-ops
4x+16=24
4x+16=24 ; x=(24-16)/4 ; x=8/4 ; x=2
base_conversion
base_conversion:via-binary
n=62,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:111110
sorting_algorithms
sorting_algorithms:selection-sort
3, 0, 9, 7, 4
[0,3,9,7,4] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(5,5)
D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=198,base=8
TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:6*8^0=6 ; OUT:306
multidigit_addition
multidigit_addition:rounding-decomposition
857+143
round:860+143=1003 ; adjust:1003-3=1000 ; sum=1000
sorting_algorithms
sorting_algorithms:bubble-sort
2, 4, 0, 1, 3
[2,0,4,1,3] ; [2,0,1,4,3] ; [2,0,1,3,4] ; [0,2,1,3,4] ; [0,1,2,3,4]
sorting_algorithms
sorting_algorithms:insertion-sort
8, 1, 4, 6, 7
[1,8,4,6,7] ; [1,4,8,6,7] ; [1,4,6,8,7] ; [1,4,6,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
8, 3, 4, 9, 2
[3,8,4,9,2] ; [3,4,8,9,2] ; [2,3,4,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
4, 5, 0, 7, 8
[0,4,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 5, 8, 9
[2,5,7,8,9]
base_conversion
base_conversion:decomposition
n=102,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1100110
sorting_algorithms
sorting_algorithms:bubble-sort
5, 3, 9, 0, 8
[3,5,9,0,8] ; [3,5,0,9,8] ; [3,5,0,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-28=-35
7x-28=-35 ; x=(-35--28)/7 ; x=-7/7 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
2x-10=-14
2x-10=-14 ; x=(-14--10)/2 ; x=-4/2 ; x=-2
base_conversion
base_conversion:decomposition
n=55,base=2
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:1*2^0=1 ; OUT:110111
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
base_conversion
base_conversion:decomposition
n=8,base=4
TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:20
base_conversion
base_conversion:via-binary
n=223,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3133
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:right-to-left
8, 8, 5, 6
5+6=11 ; 8+11=19 ; 8+19=27