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:heap-sort
3, 8, 5, 2, 0
[8,3,5,2,0] ; [0,3,5,2,8] ; [5,3,0,2,8] ; [2,3,0,5,8] ; [3,2,0,5,8] ; [0,2,3,5,8] ; [2,0,3,5,8] ; [0,2,3,5,8]
list_summation
list_summation:left-to-right
1, 5, 7, 7
1+5=6 ; 6+7=13 ; 13+7=20
sorting_algorithms
sorting_algorithms:selection-sort
0, 6, 1, 8, 5
[0,6,1,8,5] ; [0,1,6,8,5] ; [0,1,5,8,6] ; [0,1,5,6,8]
list_summation
list_summation:right-to-left
8, 6, 5, 9
5+9=14 ; 6+14=20 ; 8+20=28
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(4,5)
D:(3,4) ; D:(4,4) ; R:(4,5)
list_summation
list_summation:left-to-right
1, 3, 1, 1
1+3=4 ; 4+1=5 ; 5+1=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=64
4x+36=64 ; x+9=16 ; x=16-9 ; x=7
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=35
5x+20=35 ; x+4=7 ; x=7-4 ; x=3
list_summation
list_summation:left-to-right
4, 6, 3, 7
4+6=10 ; 10+3=13 ; 13+7=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=-32
8x-40=-32 ; x+-5=-4 ; x=-4--5 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,3)
D:(4,2) ; R:(4,3)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 9, 3, 6
[0,7,9,3,6] ; [0,7,9,3,6] ; [0,3,7,9,6] ; [0,3,6,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+28=64
4x+28=64 ; 4x=36 ; x=9
list_summation
list_summation:right-to-left
1, 8, 4, 2
4+2=6 ; 8+6=14 ; 1+14=15
multidigit_addition
multidigit_addition:rounding-decomposition
483+471
round:490+471=961 ; adjust:961-7=954 ; sum=954
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
multidigit_addition
multidigit_addition:rounding-decomposition
662+634
round:670+634=1304 ; adjust:1304-8=1296 ; sum=1296
multidigit_addition
multidigit_addition:left-to-right-partials
181+865
p100:100+800=900 ; p10:80+60=140 ; p1:1+5=6 ; sum=900+140+6=1046
linear_equation_solving
linear_equation_solving:inverse-ops
9x+9=90
9x+9=90 ; x=(90-9)/9 ; x=81/9 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+8=-20
4x+8=-20 ; 4x=-28 ; x=-7
list_summation
list_summation:pairwise
0, 4, 7, 7
0+4=4 ; 7+7=14 ; 4+14=18
multidigit_addition
multidigit_addition:left-to-right-partials
414+813
p100:400+800=1200 ; p10:10+10=20 ; p1:4+3=7 ; sum=1200+20+7=1227
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+72=112
8x+72=112 ; 8x=40 ; x=5
sorting_algorithms
sorting_algorithms:bubble-sort
7, 5, 9, 4, 8
[5,7,9,4,8] ; [5,7,4,9,8] ; [5,7,4,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
654+209
p100:600+200=800 ; p10:50+0=50 ; p1:4+9=13 ; sum=800+50+13=863
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(2,1)
R:(1,1) ; D:(2,1)
sorting_algorithms
sorting_algorithms:heap-sort
6, 4, 9, 5, 3
[6,5,9,4,3] ; [9,5,6,4,3] ; [3,5,6,4,9] ; [6,5,3,4,9] ; [4,5,3,6,9] ; [5,4,3,6,9] ; [3,4,5,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
705+545
p100:700+500=1200 ; p10:0+40=40 ; p1:5+5=10 ; sum=1200+40+10=1250
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-48=-96
8x-48=-96 ; 8x=-48 ; x=-6
base_conversion
base_conversion:repeated-division
n=108,base=8
DIV:108/8=13,r:4 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:154
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(4,5)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=106,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101010
base_conversion
base_conversion:repeated-division
n=134,base=2
DIV:134/2=67,r:0 ; DIV:67/2=33,r:1 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; 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:10000110
list_summation
list_summation:right-to-left
1, 6, 7, 5
7+5=12 ; 6+12=18 ; 1+18=19
multidigit_addition
multidigit_addition:left-to-right-partials
484+748
p100:400+700=1100 ; p10:80+40=120 ; p1:4+8=12 ; sum=1100+120+12=1232
multidigit_addition
multidigit_addition:right-to-left-carry
271+733
d2:1+3+0=4→w4,c0 ; d1:7+3+0=10→w0,c1 ; d0:2+7+1=10→w0,c1 ; sum=1004
base_conversion
base_conversion:via-binary
n=9,base=16
BINLEN:4 ; CHUNK:0:9 ; OUT:9
list_summation
list_summation:right-to-left
5, 5, 2, 0
2+0=2 ; 5+2=7 ; 5+7=12
base_conversion
base_conversion:repeated-division
n=190,base=8
DIV:190/8=23,r:6 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:276
multidigit_addition
multidigit_addition:right-to-left-carry
798+704
d2:8+4+0=12→w2,c1 ; d1:9+0+1=10→w0,c1 ; d0:7+7+1=15→w5,c1 ; sum=1502
list_summation
list_summation:pairwise
0, 7, 6, 5
0+7=7 ; 6+5=11 ; 7+11=18
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 1, 5, 9
[1,8,3,5,9] ; [1,3,8,5,9] ; [1,3,5,8,9] ; [1,3,5,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
2, 1, 8, 5, 3
[1,2,8,5,3] ; [1,2,8,5,3] ; [1,2,3,5,8] ; [1,2,3,5,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,4)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 6, 8, 0
[1,4,6,8,0] ; [1,4,6,8,0] ; [1,4,6,8,0] ; [0,1,4,6,8]
list_summation
list_summation:left-to-right
9, 0, 5, 2
9+0=9 ; 9+5=14 ; 14+2=16
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 2, 9, 4, 0
[5,4,9,2,0] ; [9,4,5,2,0] ; [0,4,5,2,9] ; [5,4,0,2,9] ; [2,4,0,5,9] ; [4,2,0,5,9] ; [0,2,4,5,9] ; [2,0,4,5,9] ; [0,2,4,5,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(1,4)
R:(0,2) ; D:(1,2) ; R:(1,3) ; R:(1,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(4,2)
D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 6, 2, 9, 0
[5,2,6,9,0] ; [5,2,6,0,9] ; [2,5,6,0,9] ; [2,5,0,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9]
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
base_conversion
base_conversion:via-binary
n=127,base=16
BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:15 ; OUT:7F
multidigit_addition
multidigit_addition:left-to-right-partials
727+928
p100:700+900=1600 ; p10:20+20=40 ; p1:7+8=15 ; sum=1600+40+15=1655
multidigit_addition
multidigit_addition:left-to-right-partials
381+938
p100:300+900=1200 ; p10:80+30=110 ; p1:1+8=9 ; sum=1200+110+9=1319
linear_equation_solving
linear_equation_solving:inverse-ops
9x+36=0
9x+36=0 ; x=(0-36)/9 ; x=-36/9 ; x=-4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(4,2)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2)
list_summation
list_summation:left-to-right
0, 0, 7, 1
0+0=0 ; 0+7=7 ; 7+1=8
base_conversion
base_conversion:repeated-division
n=181,base=8
DIV:181/8=22,r:5 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:265
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(5,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
680+471
round:680+471=1151 ; adjust:1151-0=1151 ; sum=1151
base_conversion
base_conversion:decomposition
n=160,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10100000
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=-64
8x-48=-64 ; x+-6=-8 ; x=-8--6 ; x=-2
sorting_algorithms
sorting_algorithms:selection-sort
8, 3, 9, 1, 4
[1,3,9,8,4] ; [1,3,9,8,4] ; [1,3,4,8,9] ; [1,3,4,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 6, 4, 3
[0,7,6,4,3] ; [0,6,7,4,3] ; [0,4,6,7,3] ; [0,3,4,6,7]
list_summation
list_summation:right-to-left
0, 3, 5, 1
5+1=6 ; 3+6=9 ; 0+9=9
base_conversion
base_conversion:repeated-division
n=94,base=8
DIV:94/8=11,r:6 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:136
base_conversion
base_conversion:via-binary
n=32,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:0 ; OUT:20
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+24=8
8x+24=8 ; 8x=-16 ; x=-2
sorting_algorithms
sorting_algorithms:selection-sort
5, 4, 0, 9, 2
[0,4,5,9,2] ; [0,2,5,9,4] ; [0,2,4,9,5] ; [0,2,4,5,9]
sorting_algorithms
sorting_algorithms:merge-sort
5, 6, 4, 1, 9
[5,6,1,4,9] ; [1,4,5,6,9]
sorting_algorithms
sorting_algorithms:merge-sort
9, 4, 1, 8, 7
[4,9,1,8,7] ; [1,4,8,9,7] ; [1,4,7,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-27=9
9x-27=9 ; 9x=36 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(5,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
3, 7, 5, 4, 6
[3,7,4,5,6] ; [3,4,5,7,6] ; [3,4,5,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
665+784
round:670+784=1454 ; adjust:1454-5=1449 ; sum=1449
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
694+331
p100:600+300=900 ; p10:90+30=120 ; p1:4+1=5 ; sum=900+120+5=1025
base_conversion
base_conversion:repeated-division
n=138,base=4
DIV:138/4=34,r:2 ; DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2022
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+6=-6
2x+6=-6 ; x+3=-3 ; x=-3-3 ; x=-6
linear_equation_solving
linear_equation_solving:inverse-ops
4x+24=48
4x+24=48 ; x=(48-24)/4 ; x=24/4 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-36=-16
4x-36=-16 ; x+-9=-4 ; x=-4--9 ; x=5
list_summation
list_summation:pairwise
6, 3, 8, 9
6+3=9 ; 8+9=17 ; 9+17=26
multidigit_addition
multidigit_addition:right-to-left-carry
183+854
d2:3+4+0=7→w7,c0 ; d1:8+5+0=13→w3,c1 ; d0:1+8+1=10→w0,c1 ; sum=1037
sorting_algorithms
sorting_algorithms:bubble-sort
8, 0, 7, 1, 4
[0,8,7,1,4] ; [0,7,8,1,4] ; [0,7,1,8,4] ; [0,7,1,4,8] ; [0,1,7,4,8] ; [0,1,4,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,5)
D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-16=8
4x-16=8 ; 4x=24 ; x=6
list_summation
list_summation:left-to-right
0, 7, 5, 4
0+7=7 ; 7+5=12 ; 12+4=16
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=15
5x+20=15 ; x+4=3 ; x=3-4 ; x=-1
base_conversion
base_conversion:decomposition
n=115,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:163
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+8=32
8x+8=32 ; x+1=4 ; x=4-1 ; x=3
sorting_algorithms
sorting_algorithms:heap-sort
9, 1, 4, 3, 5
[9,5,4,3,1] ; [1,5,4,3,9] ; [5,1,4,3,9] ; [5,3,4,1,9] ; [1,3,4,5,9] ; [4,3,1,5,9] ; [1,3,4,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
8x-16=8
8x-16=8 ; x=(8--16)/8 ; x=24/8 ; x=3
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-14=-28
7x-14=-28 ; x+-2=-4 ; x=-4--2 ; x=-2
multidigit_addition
multidigit_addition:left-to-right-partials
597+147
p100:500+100=600 ; p10:90+40=130 ; p1:7+7=14 ; sum=600+130+14=744
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(4,3)
R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+36=40
4x+36=40 ; x=(40-36)/4 ; x=4/4 ; x=1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(1,4)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4)