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
base_conversion
base_conversion:via-binary
n=162,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:2 ; OUT:A2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(4,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4)
list_summation
list_summation:left-to-right
0, 4, 0, 0
0+4=4 ; 4+0=4 ; 4+0=4
list_summation
list_summation:pairwise
1, 9, 9, 3
1+9=10 ; 9+3=12 ; 10+12=22
multidigit_addition
multidigit_addition:right-to-left-carry
556+891
d2:6+1+0=7→w7,c0 ; d1:5+9+0=14→w4,c1 ; d0:5+8+1=14→w4,c1 ; sum=1447
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(1,4)
D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4)
base_conversion
base_conversion:via-binary
n=229,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:5 ; OUT:345
sorting_algorithms
sorting_algorithms:heap-sort
7, 9, 4, 8, 0
[9,7,4,8,0] ; [9,8,4,7,0] ; [0,8,4,7,9] ; [8,0,4,7,9] ; [8,7,4,0,9] ; [0,7,4,8,9] ; [7,0,4,8,9] ; [4,0,7,8,9] ; [0,4,7,8,9]
list_summation
list_summation:right-to-left
4, 7, 1, 5
1+5=6 ; 7+6=13 ; 4+13=17
multidigit_addition
multidigit_addition:left-to-right-partials
320+654
p100:300+600=900 ; p10:20+50=70 ; p1:0+4=4 ; sum=900+70+4=974
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(3,2)
D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2)
multidigit_addition
multidigit_addition:rounding-decomposition
396+128
round:400+128=528 ; adjust:528-4=524 ; sum=524
linear_equation_solving
linear_equation_solving:inverse-ops
7x+42=70
7x+42=70 ; x=(70-42)/7 ; x=28/7 ; x=4
multidigit_addition
multidigit_addition:right-to-left-carry
940+319
d2:0+9+0=9→w9,c0 ; d1:4+1+0=5→w5,c0 ; d0:9+3+0=12→w2,c1 ; sum=1259
multidigit_addition
multidigit_addition:rounding-decomposition
662+739
round:670+739=1409 ; adjust:1409-8=1401 ; sum=1401
sorting_algorithms
sorting_algorithms:heap-sort
2, 4, 6, 0, 3
[6,4,2,0,3] ; [3,4,2,0,6] ; [4,3,2,0,6] ; [0,3,2,4,6] ; [3,0,2,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6]
base_conversion
base_conversion:via-binary
n=109,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1101101
list_summation
list_summation:left-to-right
9, 9, 2, 5
9+9=18 ; 18+2=20 ; 20+5=25
base_conversion
base_conversion:repeated-division
n=172,base=8
DIV:172/8=21,r:4 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:254
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+30=70
5x+30=70 ; 5x=40 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=40
5x+40=40 ; 5x=0 ; x=0
sorting_algorithms
sorting_algorithms:heap-sort
7, 5, 3, 6, 1
[7,6,3,5,1] ; [1,6,3,5,7] ; [6,1,3,5,7] ; [6,5,3,1,7] ; [1,5,3,6,7] ; [5,1,3,6,7] ; [3,1,5,6,7] ; [1,3,5,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+21=-6
3x+21=-6 ; x=(-6-21)/3 ; x=-27/3 ; x=-9
base_conversion
base_conversion:decomposition
n=102,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:146
base_conversion
base_conversion:repeated-division
n=225,base=8
DIV:225/8=28,r:1 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:341
multidigit_addition
multidigit_addition:rounding-decomposition
413+991
round:420+991=1411 ; adjust:1411-7=1404 ; sum=1404
multidigit_addition
multidigit_addition:rounding-decomposition
117+248
round:120+248=368 ; adjust:368-3=365 ; sum=365
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,2)
D:(4,0) ; R:(4,1) ; R:(4,2)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-9=45
9x-9=45 ; x+-1=5 ; x=5--1 ; x=6
multidigit_addition
multidigit_addition:left-to-right-partials
928+982
p100:900+900=1800 ; p10:20+80=100 ; p1:8+2=10 ; sum=1800+100+10=1910
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(2,3)
R:(0,3) ; D:(1,3) ; D:(2,3)
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 2, 5, 1
[0,2,5,9,1] ; [0,1,2,5,9]
multidigit_addition
multidigit_addition:rounding-decomposition
236+914
round:240+914=1154 ; adjust:1154-4=1150 ; sum=1150
multidigit_addition
multidigit_addition:left-to-right-partials
247+295
p100:200+200=400 ; p10:40+90=130 ; p1:7+5=12 ; sum=400+130+12=542
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+24=24
8x+24=24 ; 8x=0 ; x=0
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-42=-36
6x-42=-36 ; x+-7=-6 ; x=-6--7 ; x=1
list_summation
list_summation:pairwise
2, 8, 4, 2
2+8=10 ; 4+2=6 ; 10+6=16
base_conversion
base_conversion:decomposition
n=148,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2110
list_summation
list_summation:left-to-right
3, 8, 2, 0
3+8=11 ; 11+2=13 ; 13+0=13
linear_equation_solving
linear_equation_solving:inverse-ops
4x-8=24
4x-8=24 ; x=(24--8)/4 ; x=32/4 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-45=-45
5x-45=-45 ; 5x=0 ; x=0
multidigit_addition
multidigit_addition:rounding-decomposition
386+557
round:390+557=947 ; adjust:947-4=943 ; sum=943
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-64=-8
8x-64=-8 ; x+-8=-1 ; x=-1--8 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,4)
D:(3,2) ; R:(3,3) ; R:(3,4)
base_conversion
base_conversion:via-binary
n=183,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2313
base_conversion
base_conversion:decomposition
n=200,base=8
TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:310
list_summation
list_summation:pairwise
5, 7, 9, 3
5+7=12 ; 9+3=12 ; 12+12=24
base_conversion
base_conversion:repeated-division
n=19,base=4
DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:103
base_conversion
base_conversion:decomposition
n=159,base=16
TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F
multidigit_addition
multidigit_addition:right-to-left-carry
223+744
d2:3+4+0=7→w7,c0 ; d1:2+4+0=6→w6,c0 ; d0:2+7+0=9→w9,c0 ; sum=967
base_conversion
base_conversion:decomposition
n=110,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:1101110
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 3, 0, 6
[0,7,3,9,6] ; [0,3,7,9,6] ; [0,3,6,9,7] ; [0,3,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-21=-7
7x-21=-7 ; x+-3=-1 ; x=-1--3 ; x=2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
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
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-36=36
9x-36=36 ; 9x=72 ; x=8
list_summation
list_summation:right-to-left
3, 2, 1, 1
1+1=2 ; 2+2=4 ; 3+4=7
list_summation
list_summation:pairwise
8, 4, 5, 6
8+4=12 ; 5+6=11 ; 12+11=23
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,3)
D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+14=-7
7x+14=-7 ; 7x=-21 ; x=-3
multidigit_addition
multidigit_addition:rounding-decomposition
802+594
round:810+594=1404 ; adjust:1404-8=1396 ; sum=1396
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(5,4)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
0, 7, 5, 3
0+7=7 ; 7+5=12 ; 12+3=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(5,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
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:left-to-right
4, 1, 1, 4
4+1=5 ; 5+1=6 ; 6+4=10
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 8, 2, 3
[4,6,8,2,3] ; [4,6,8,2,3] ; [2,4,6,8,3] ; [2,3,4,6,8]
sorting_algorithms
sorting_algorithms:merge-sort
5, 3, 2, 1, 6
[3,5,2,1,6] ; [3,5,1,2,6] ; [1,2,3,5,6]
list_summation
list_summation:left-to-right
0, 8, 3, 8
0+8=8 ; 8+3=11 ; 11+8=19
base_conversion
base_conversion:decomposition
n=81,base=8
TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:121
sorting_algorithms
sorting_algorithms:insertion-sort
9, 7, 1, 6, 3
[7,9,1,6,3] ; [1,7,9,6,3] ; [1,6,7,9,3] ; [1,3,6,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-6=-9
3x-6=-9 ; 3x=-3 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,5)
D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
list_summation
list_summation:right-to-left
0, 4, 7, 6
7+6=13 ; 4+13=17 ; 0+17=17
sorting_algorithms
sorting_algorithms:bubble-sort
9, 6, 7, 0, 1
[6,9,7,0,1] ; [6,7,9,0,1] ; [6,7,0,9,1] ; [6,7,0,1,9] ; [6,0,7,1,9] ; [6,0,1,7,9] ; [0,6,1,7,9] ; [0,1,6,7,9]
list_summation
list_summation:right-to-left
6, 8, 6, 7
6+7=13 ; 8+13=21 ; 6+21=27
base_conversion
base_conversion:via-binary
n=51,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:303
sorting_algorithms
sorting_algorithms:bubble-sort
0, 4, 6, 1, 2
[0,4,1,6,2] ; [0,4,1,2,6] ; [0,1,4,2,6] ; [0,1,2,4,6]
list_summation
list_summation:left-to-right
5, 3, 3, 5
5+3=8 ; 8+3=11 ; 11+5=16
base_conversion
base_conversion:decomposition
n=8,base=2
TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000
multidigit_addition
multidigit_addition:left-to-right-partials
334+960
p100:300+900=1200 ; p10:30+60=90 ; p1:4+0=4 ; sum=1200+90+4=1294
multidigit_addition
multidigit_addition:right-to-left-carry
151+458
d2:1+8+0=9→w9,c0 ; d1:5+5+0=10→w0,c1 ; d0:1+4+1=6→w6,c0 ; sum=609
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
833+313
p100:800+300=1100 ; p10:30+10=40 ; p1:3+3=6 ; sum=1100+40+6=1146
sorting_algorithms
sorting_algorithms:merge-sort
0, 2, 8, 5, 4
[0,2,5,8,4] ; [0,2,4,5,8]
list_summation
list_summation:left-to-right
2, 0, 7, 3
2+0=2 ; 2+7=9 ; 9+3=12
list_summation
list_summation:left-to-right
0, 2, 0, 7
0+2=2 ; 2+0=2 ; 2+7=9
sorting_algorithms
sorting_algorithms:merge-sort
3, 0, 4, 2, 7
[0,3,4,2,7] ; [0,3,2,4,7] ; [0,2,3,4,7]
multidigit_addition
multidigit_addition:left-to-right-partials
233+887
p100:200+800=1000 ; p10:30+80=110 ; p1:3+7=10 ; sum=1000+110+10=1120
sorting_algorithms
sorting_algorithms:insertion-sort
5, 9, 0, 3, 7
[5,9,0,3,7] ; [0,5,9,3,7] ; [0,3,5,9,7] ; [0,3,5,7,9]
list_summation
list_summation:pairwise
6, 1, 0, 0
6+1=7 ; 0+0=0 ; 7+0=7
base_conversion
base_conversion:repeated-division
n=166,base=4
DIV:166/4=41,r:2 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2212
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(5,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=197,base=2
DIV:197/2=98,r:1 ; DIV:98/2=49,r:0 ; 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:11000101
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=80
5x+40=80 ; 5x=40 ; x=8
sorting_algorithms
sorting_algorithms:merge-sort
3, 5, 8, 7, 9
[3,5,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
9, 8, 6, 0, 5
[8,9,6,0,5] ; [8,6,9,0,5] ; [8,6,0,9,5] ; [8,6,0,5,9] ; [6,8,0,5,9] ; [6,0,8,5,9] ; [6,0,5,8,9] ; [0,6,5,8,9] ; [0,5,6,8,9]
list_summation
list_summation:pairwise
9, 7, 7, 4
9+7=16 ; 7+4=11 ; 16+11=27
base_conversion
base_conversion:decomposition
n=89,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1121