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:merge-sort
2, 4, 7, 0, 3
[2,4,0,7,3] ; [0,2,4,7,3] ; [0,2,3,4,7]
list_summation
list_summation:pairwise
9, 5, 5, 5
9+5=14 ; 5+5=10 ; 14+10=24
list_summation
list_summation:pairwise
1, 5, 4, 0
1+5=6 ; 4+0=4 ; 6+4=10
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,4)
D:(1,2) ; R:(1,3) ; R:(1,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:selection-sort
8, 6, 1, 0, 5
[0,6,1,8,5] ; [0,1,6,8,5] ; [0,1,5,8,6] ; [0,1,5,6,8]
base_conversion
base_conversion:via-binary
n=178,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:262
sorting_algorithms
sorting_algorithms:merge-sort
5, 4, 8, 6, 2
[4,5,8,6,2] ; [4,5,6,8,2] ; [2,4,5,6,8]
multidigit_addition
multidigit_addition:rounding-decomposition
333+895
round:340+895=1235 ; adjust:1235-7=1228 ; sum=1228
multidigit_addition
multidigit_addition:left-to-right-partials
669+567
p100:600+500=1100 ; p10:60+60=120 ; p1:9+7=16 ; sum=1100+120+16=1236
sorting_algorithms
sorting_algorithms:heap-sort
5, 3, 7, 2, 8
[5,8,7,2,3] ; [8,5,7,2,3] ; [3,5,7,2,8] ; [7,5,3,2,8] ; [2,5,3,7,8] ; [5,2,3,7,8] ; [3,2,5,7,8] ; [2,3,5,7,8]
base_conversion
base_conversion:via-binary
n=204,base=16
BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:12 ; OUT:CC
list_summation
list_summation:pairwise
7, 8, 1, 6
7+8=15 ; 1+6=7 ; 15+7=22
base_conversion
base_conversion:via-binary
n=22,base=4
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:112
sorting_algorithms
sorting_algorithms:merge-sort
5, 2, 6, 7, 9
[2,5,6,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+42=-7
7x+42=-7 ; 7x=-49 ; x=-7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+10=25
5x+10=25 ; x=(25-10)/5 ; x=15/5 ; x=3
sorting_algorithms
sorting_algorithms:merge-sort
9, 2, 6, 1, 5
[2,9,6,1,5] ; [2,9,1,6,5] ; [1,2,6,9,5] ; [1,2,5,6,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-18=-24
3x-18=-24 ; x+-6=-8 ; x=-8--6 ; x=-2
list_summation
list_summation:pairwise
2, 9, 3, 6
2+9=11 ; 3+6=9 ; 11+9=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-6=4
2x-6=4 ; 2x=10 ; x=5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=30
5x+40=30 ; 5x=-10 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
817+219
d2:7+9+0=16→w6,c1 ; d1:1+1+1=3→w3,c0 ; d0:8+2+0=10→w0,c1 ; sum=1036
list_summation
list_summation:left-to-right
9, 0, 7, 3
9+0=9 ; 9+7=16 ; 16+3=19
base_conversion
base_conversion:via-binary
n=156,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:12 ; OUT:9C
multidigit_addition
multidigit_addition:left-to-right-partials
737+974
p100:700+900=1600 ; p10:30+70=100 ; p1:7+4=11 ; sum=1600+100+11=1711
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-4=-8
2x-4=-8 ; x+-2=-4 ; x=-4--2 ; x=-2
sorting_algorithms
sorting_algorithms:bubble-sort
3, 4, 1, 0, 2
[3,1,4,0,2] ; [3,1,0,4,2] ; [3,1,0,2,4] ; [1,3,0,2,4] ; [1,0,3,2,4] ; [1,0,2,3,4] ; [0,1,2,3,4]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5)
multidigit_addition
multidigit_addition:rounding-decomposition
485+695
round:490+695=1185 ; adjust:1185-5=1180 ; sum=1180
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,1)
D:(5,0) ; R:(5,1)
base_conversion
base_conversion:via-binary
n=22,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:6 ; OUT:16
base_conversion
base_conversion:decomposition
n=48,base=2
TERM:1*2^5=32 ; 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:110000
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(3,4)
D:(3,3) ; R:(3,4)
base_conversion
base_conversion:decomposition
n=83,base=16
TERM:5*16^1=80 ; TERM:3*16^0=3 ; OUT:53
list_summation
list_summation:right-to-left
8, 3, 8, 5
8+5=13 ; 3+13=16 ; 8+16=24
sorting_algorithms
sorting_algorithms:heap-sort
7, 9, 4, 1, 3
[9,7,4,1,3] ; [3,7,4,1,9] ; [7,3,4,1,9] ; [1,3,4,7,9] ; [4,3,1,7,9] ; [1,3,4,7,9] ; [3,1,4,7,9] ; [1,3,4,7,9]
list_summation
list_summation:right-to-left
0, 6, 8, 6
8+6=14 ; 6+14=20 ; 0+20=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,5)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=229,base=16
TERM:14*16^1=224 ; TERM:5*16^0=5 ; OUT:E5
linear_equation_solving
linear_equation_solving:inverse-ops
8x-32=40
8x-32=40 ; x=(40--32)/8 ; x=72/8 ; x=9
multidigit_addition
multidigit_addition:left-to-right-partials
875+452
p100:800+400=1200 ; p10:70+50=120 ; p1:5+2=7 ; sum=1200+120+7=1327
multidigit_addition
multidigit_addition:right-to-left-carry
449+726
d2:9+6+0=15→w5,c1 ; d1:4+2+1=7→w7,c0 ; d0:4+7+0=11→w1,c1 ; sum=1175
base_conversion
base_conversion:decomposition
n=149,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2111
multidigit_addition
multidigit_addition:right-to-left-carry
678+952
d2:8+2+0=10→w0,c1 ; d1:7+5+1=13→w3,c1 ; d0:6+9+1=16→w6,c1 ; sum=1630
sorting_algorithms
sorting_algorithms:heap-sort
2, 6, 4, 7, 0
[2,7,4,6,0] ; [7,2,4,6,0] ; [7,6,4,2,0] ; [0,6,4,2,7] ; [6,0,4,2,7] ; [6,2,4,0,7] ; [0,2,4,6,7] ; [4,2,0,6,7] ; [0,2,4,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 3, 8, 1
[0,7,3,8,1] ; [0,3,7,8,1] ; [0,3,7,8,1] ; [0,1,3,7,8]
base_conversion
base_conversion:repeated-division
n=192,base=2
DIV:192/2=96,r:0 ; DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000000
multidigit_addition
multidigit_addition:left-to-right-partials
266+561
p100:200+500=700 ; p10:60+60=120 ; p1:6+1=7 ; sum=700+120+7=827
multidigit_addition
multidigit_addition:rounding-decomposition
836+591
round:840+591=1431 ; adjust:1431-4=1427 ; sum=1427
list_summation
list_summation:right-to-left
5, 6, 2, 3
2+3=5 ; 6+5=11 ; 5+11=16
base_conversion
base_conversion:repeated-division
n=89,base=4
DIV:89/4=22,r:1 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1121
sorting_algorithms
sorting_algorithms:bubble-sort
9, 5, 2, 0, 3
[5,9,2,0,3] ; [5,2,9,0,3] ; [5,2,0,9,3] ; [5,2,0,3,9] ; [2,5,0,3,9] ; [2,0,5,3,9] ; [2,0,3,5,9] ; [0,2,3,5,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
base_conversion
base_conversion:decomposition
n=171,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2223
base_conversion
base_conversion:repeated-division
n=105,base=8
DIV:105/8=13,r:1 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:151
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
base_conversion
base_conversion:repeated-division
n=93,base=4
DIV:93/4=23,r:1 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1131
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+0=-15
3x+0=-15 ; 3x=-15 ; x=-5
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-16=2
2x-16=2 ; 2x=18 ; x=9
base_conversion
base_conversion:repeated-division
n=208,base=2
DIV:208/2=104,r:0 ; DIV:104/2=52,r:0 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; 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:11010000
list_summation
list_summation:pairwise
3, 0, 3, 3
3+0=3 ; 3+3=6 ; 3+6=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-6=-12
2x-6=-12 ; 2x=-6 ; x=-3
sorting_algorithms
sorting_algorithms:heap-sort
9, 5, 3, 4, 2
[2,5,3,4,9] ; [5,2,3,4,9] ; [5,4,3,2,9] ; [2,4,3,5,9] ; [4,2,3,5,9] ; [3,2,4,5,9] ; [2,3,4,5,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=28
4x+36=28 ; x+9=7 ; x=7-9 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
146+494
d2:6+4+0=10→w0,c1 ; d1:4+9+1=14→w4,c1 ; d0:1+4+1=6→w6,c0 ; sum=640
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-30=5
5x-30=5 ; 5x=35 ; x=7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(1,3)
R:(0,3) ; D:(1,3)
multidigit_addition
multidigit_addition:right-to-left-carry
740+605
d2:0+5+0=5→w5,c0 ; d1:4+0+0=4→w4,c0 ; d0:7+6+0=13→w3,c1 ; sum=1345
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+12=-24
6x+12=-24 ; 6x=-36 ; x=-6
sorting_algorithms
sorting_algorithms:insertion-sort
8, 0, 9, 4, 5
[0,8,9,4,5] ; [0,8,9,4,5] ; [0,4,8,9,5] ; [0,4,5,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-54=-81
9x-54=-81 ; 9x=-27 ; x=-3
multidigit_addition
multidigit_addition:left-to-right-partials
956+416
p100:900+400=1300 ; p10:50+10=60 ; p1:6+6=12 ; sum=1300+60+12=1372
base_conversion
base_conversion:repeated-division
n=199,base=2
DIV:199/2=99,r:1 ; DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000111
multidigit_addition
multidigit_addition:rounding-decomposition
500+476
round:500+476=976 ; adjust:976-0=976 ; sum=976
multidigit_addition
multidigit_addition:right-to-left-carry
838+940
d2:8+0+0=8→w8,c0 ; d1:3+4+0=7→w7,c0 ; d0:8+9+0=17→w7,c1 ; sum=1778
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 2, 4, 0
[0,8,2,4,3] ; [0,2,8,4,3] ; [0,2,3,4,8] ; [0,2,3,4,8]
multidigit_addition
multidigit_addition:right-to-left-carry
435+715
d2:5+5+0=10→w0,c1 ; d1:3+1+1=5→w5,c0 ; d0:4+7+0=11→w1,c1 ; sum=1150
base_conversion
base_conversion:repeated-division
n=10,base=4
DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:22
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,2)
D:(3,0) ; R:(3,1) ; R:(3,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=48
8x+16=48 ; 8x=32 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
499+832
p100:400+800=1200 ; p10:90+30=120 ; p1:9+2=11 ; sum=1200+120+11=1331
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)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-36=-78
6x-36=-78 ; x=(-78--36)/6 ; x=-42/6 ; x=-7
multidigit_addition
multidigit_addition:left-to-right-partials
273+226
p100:200+200=400 ; p10:70+20=90 ; p1:3+6=9 ; sum=400+90+9=499
multidigit_addition
multidigit_addition:left-to-right-partials
247+993
p100:200+900=1100 ; p10:40+90=130 ; p1:7+3=10 ; sum=1100+130+10=1240
list_summation
list_summation:right-to-left
6, 6, 0, 8
0+8=8 ; 6+8=14 ; 6+14=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,5)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
644+268
p100:600+200=800 ; p10:40+60=100 ; p1:4+8=12 ; sum=800+100+12=912
base_conversion
base_conversion:repeated-division
n=170,base=8
DIV:170/8=21,r:2 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:252
sorting_algorithms
sorting_algorithms:heap-sort
5, 6, 0, 1, 8
[5,8,0,1,6] ; [8,5,0,1,6] ; [8,6,0,1,5] ; [5,6,0,1,8] ; [6,5,0,1,8] ; [1,5,0,6,8] ; [5,1,0,6,8] ; [0,1,5,6,8] ; [1,0,5,6,8] ; [0,1,5,6,8]
list_summation
list_summation:pairwise
1, 7, 2, 8
1+7=8 ; 2+8=10 ; 8+10=18
sorting_algorithms
sorting_algorithms:heap-sort
8, 7, 4, 9, 6
[8,9,4,7,6] ; [9,8,4,7,6] ; [6,8,4,7,9] ; [8,6,4,7,9] ; [8,7,4,6,9] ; [6,7,4,8,9] ; [7,6,4,8,9] ; [4,6,7,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9]
base_conversion
base_conversion:decomposition
n=219,base=16
TERM:13*16^1=208 ; TERM:11*16^0=11 ; OUT:DB
list_summation
list_summation:pairwise
6, 6, 4, 2
6+6=12 ; 4+2=6 ; 12+6=18