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
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(2,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4)
list_summation
list_summation:left-to-right
9, 5, 9, 1
9+5=14 ; 14+9=23 ; 23+1=24
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(2,5)
R:(1,4) ; R:(1,5) ; D:(2,5)
list_summation
list_summation:right-to-left
5, 8, 0, 1
0+1=1 ; 8+1=9 ; 5+9=14
sorting_algorithms
sorting_algorithms:merge-sort
0, 7, 1, 4, 5
[0,1,4,7,5] ; [0,1,4,5,7]
base_conversion
base_conversion:via-binary
n=84,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1110
base_conversion
base_conversion:via-binary
n=71,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:7 ; OUT:47
base_conversion
base_conversion:repeated-division
n=13,base=2
DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101
base_conversion
base_conversion:repeated-division
n=183,base=8
DIV:183/8=22,r:7 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:267
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:left-to-right-partials
376+449
p100:300+400=700 ; p10:70+40=110 ; p1:6+9=15 ; sum=700+110+15=825
list_summation
list_summation:pairwise
8, 4, 7, 7
8+4=12 ; 7+7=14 ; 12+14=26
sorting_algorithms
sorting_algorithms:heap-sort
7, 6, 5, 3, 2
[2,6,5,3,7] ; [6,2,5,3,7] ; [6,3,5,2,7] ; [2,3,5,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-35=-56
7x-35=-56 ; x=(-56--35)/7 ; x=-21/7 ; x=-3
multidigit_addition
multidigit_addition:left-to-right-partials
758+897
p100:700+800=1500 ; p10:50+90=140 ; p1:8+7=15 ; sum=1500+140+15=1655
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(2,1)
R:(0,1) ; D:(1,1) ; D:(2,1)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(2,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4)
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
list_summation
list_summation:pairwise
8, 1, 6, 2
8+1=9 ; 6+2=8 ; 9+8=17
base_conversion
base_conversion:decomposition
n=34,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100010
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+28=60
4x+28=60 ; x+7=15 ; x=15-7 ; x=8
list_summation
list_summation:right-to-left
8, 0, 6, 6
6+6=12 ; 0+12=12 ; 8+12=20
linear_equation_solving
linear_equation_solving:inverse-ops
6x-6=6
6x-6=6 ; x=(6--6)/6 ; x=12/6 ; x=2
multidigit_addition
multidigit_addition:left-to-right-partials
795+123
p100:700+100=800 ; p10:90+20=110 ; p1:5+3=8 ; sum=800+110+8=918
sorting_algorithms
sorting_algorithms:bubble-sort
7, 8, 0, 6, 9
[7,0,8,6,9] ; [7,0,6,8,9] ; [0,7,6,8,9] ; [0,6,7,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
8, 0, 9, 5, 2
[0,8,9,5,2] ; [0,2,9,5,8] ; [0,2,5,9,8] ; [0,2,5,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
8, 2, 4, 5, 6
[2,8,4,5,6] ; [2,4,8,5,6] ; [2,4,5,8,6] ; [2,4,5,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-10=-10
5x-10=-10 ; x+-2=-2 ; x=-2--2 ; x=0
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+25=-10
5x+25=-10 ; 5x=-35 ; x=-7
multidigit_addition
multidigit_addition:left-to-right-partials
296+562
p100:200+500=700 ; p10:90+60=150 ; p1:6+2=8 ; sum=700+150+8=858
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(2,3)
R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3)
base_conversion
base_conversion:decomposition
n=224,base=8
TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:340
list_summation
list_summation:right-to-left
2, 4, 7, 6
7+6=13 ; 4+13=17 ; 2+17=19
multidigit_addition
multidigit_addition:rounding-decomposition
331+678
round:340+678=1018 ; adjust:1018-9=1009 ; sum=1009
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=-40
8x-40=-40 ; x+-5=-5 ; x=-5--5 ; x=0
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,5)
R:(2,4) ; R:(2,5) ; D:(3,5)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 7, 8, 1, 3
[4,7,8,1,3] ; [4,7,8,1,3] ; [1,4,7,8,3] ; [1,3,4,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; R:(3,5) ; D:(4,5)
list_summation
list_summation:pairwise
0, 3, 6, 3
0+3=3 ; 6+3=9 ; 3+9=12
base_conversion
base_conversion:via-binary
n=125,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101
multidigit_addition
multidigit_addition:left-to-right-partials
733+875
p100:700+800=1500 ; p10:30+70=100 ; p1:3+5=8 ; sum=1500+100+8=1608
multidigit_addition
multidigit_addition:left-to-right-partials
516+869
p100:500+800=1300 ; p10:10+60=70 ; p1:6+9=15 ; sum=1300+70+15=1385
base_conversion
base_conversion:decomposition
n=205,base=16
TERM:12*16^1=192 ; TERM:13*16^0=13 ; OUT:CD
multidigit_addition
multidigit_addition:rounding-decomposition
331+898
round:340+898=1238 ; adjust:1238-9=1229 ; sum=1229
sorting_algorithms
sorting_algorithms:bubble-sort
1, 4, 2, 0, 8
[1,2,4,0,8] ; [1,2,0,4,8] ; [1,0,2,4,8] ; [0,1,2,4,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+5=-20
5x+5=-20 ; x+1=-4 ; x=-4-1 ; x=-5
sorting_algorithms
sorting_algorithms:heap-sort
0, 1, 3, 9, 6
[0,9,3,1,6] ; [9,0,3,1,6] ; [9,6,3,1,0] ; [0,6,3,1,9] ; [6,0,3,1,9] ; [6,1,3,0,9] ; [0,1,3,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9]
sorting_algorithms
sorting_algorithms:selection-sort
1, 8, 2, 0, 6
[0,8,2,1,6] ; [0,1,2,8,6] ; [0,1,2,8,6] ; [0,1,2,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-42=-70
7x-42=-70 ; x+-6=-10 ; x=-10--6 ; x=-4
multidigit_addition
multidigit_addition:rounding-decomposition
671+766
round:680+766=1446 ; adjust:1446-9=1437 ; sum=1437
sorting_algorithms
sorting_algorithms:insertion-sort
6, 5, 2, 0, 3
[5,6,2,0,3] ; [2,5,6,0,3] ; [0,2,5,6,3] ; [0,2,3,5,6]
multidigit_addition
multidigit_addition:rounding-decomposition
970+448
round:970+448=1418 ; adjust:1418-0=1418 ; sum=1418
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-16=-10
2x-16=-10 ; x+-8=-5 ; x=-5--8 ; x=3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,5)
D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
8, 6, 3, 4
3+4=7 ; 6+7=13 ; 8+13=21
multidigit_addition
multidigit_addition:left-to-right-partials
434+217
p100:400+200=600 ; p10:30+10=40 ; p1:4+7=11 ; sum=600+40+11=651
base_conversion
base_conversion:repeated-division
n=36,base=16
DIV:36/16=2,r:4 ; DIV:2/16=0,r:2 ; OUT:24
sorting_algorithms
sorting_algorithms:bubble-sort
4, 1, 5, 0, 9
[1,4,5,0,9] ; [1,4,0,5,9] ; [1,0,4,5,9] ; [0,1,4,5,9]
list_summation
list_summation:pairwise
4, 5, 4, 4
4+5=9 ; 4+4=8 ; 9+8=17
base_conversion
base_conversion:decomposition
n=206,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11001110
list_summation
list_summation:pairwise
7, 3, 2, 3
7+3=10 ; 2+3=5 ; 10+5=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 2, 4, 9
[1,5,2,4,9] ; [1,2,5,4,9] ; [1,2,4,5,9]
list_summation
list_summation:left-to-right
0, 1, 6, 5
0+1=1 ; 1+6=7 ; 7+5=12
list_summation
list_summation:pairwise
1, 5, 7, 8
1+5=6 ; 7+8=15 ; 6+15=21
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+15=33
3x+15=33 ; x+5=11 ; x=11-5 ; x=6
base_conversion
base_conversion:repeated-division
n=69,base=2
DIV:69/2=34,r:1 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1000101
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; R:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(2,2)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2)
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)
multidigit_addition
multidigit_addition:rounding-decomposition
600+789
round:600+789=1389 ; adjust:1389-0=1389 ; sum=1389
list_summation
list_summation:left-to-right
2, 6, 0, 6
2+6=8 ; 8+0=8 ; 8+6=14
list_summation
list_summation:left-to-right
0, 6, 2, 1
0+6=6 ; 6+2=8 ; 8+1=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+12=18
2x+12=18 ; 2x=6 ; x=3
list_summation
list_summation:pairwise
3, 1, 2, 9
3+1=4 ; 2+9=11 ; 4+11=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; R:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
base_conversion
base_conversion:repeated-division
n=180,base=8
DIV:180/8=22,r:4 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:264
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
2x-12=-22
2x-12=-22 ; x=(-22--12)/2 ; x=-10/2 ; x=-5
multidigit_addition
multidigit_addition:right-to-left-carry
987+352
d2:7+2+0=9→w9,c0 ; d1:8+5+0=13→w3,c1 ; d0:9+3+1=13→w3,c1 ; sum=1339
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-24=-36
3x-24=-36 ; 3x=-12 ; x=-4
base_conversion
base_conversion:via-binary
n=227,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3203
list_summation
list_summation:pairwise
6, 8, 1, 1
6+8=14 ; 1+1=2 ; 14+2=16
multidigit_addition
multidigit_addition:right-to-left-carry
821+545
d2:1+5+0=6→w6,c0 ; d1:2+4+0=6→w6,c0 ; d0:8+5+0=13→w3,c1 ; sum=1366
multidigit_addition
multidigit_addition:right-to-left-carry
398+887
d2:8+7+0=15→w5,c1 ; d1:9+8+1=18→w8,c1 ; d0:3+8+1=12→w2,c1 ; sum=1285
base_conversion
base_conversion:via-binary
n=71,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1013
base_conversion
base_conversion:repeated-division
n=88,base=8
DIV:88/8=11,r:0 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:130
base_conversion
base_conversion:repeated-division
n=126,base=2
DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111110
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+6=-42
6x+6=-42 ; 6x=-48 ; x=-8
base_conversion
base_conversion:repeated-division
n=86,base=4
DIV:86/4=21,r:2 ; DIV:21/4=5,r:1 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1112
linear_equation_solving
linear_equation_solving:inverse-ops
6x+30=18
6x+30=18 ; x=(18-30)/6 ; x=-12/6 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
957+847
d2:7+7+0=14→w4,c1 ; d1:5+4+1=10→w0,c1 ; d0:9+8+1=18→w8,c1 ; sum=1804
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)
base_conversion
base_conversion:via-binary
n=94,base=16
BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:14 ; OUT:5E
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+0=-15
3x+0=-15 ; 3x=-15 ; x=-5
list_summation
list_summation:pairwise
8, 0, 1, 2
8+0=8 ; 1+2=3 ; 8+3=11
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+6=16
2x+6=16 ; 2x=10 ; x=5