Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
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1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-16=-4
4x-16=-4 ; x+-4=-1 ; x=-1--4 ; x=3
base_conversion
base_conversion:via-binary
n=38,base=4
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:212
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-81=-153
9x-81=-153 ; 9x=-72 ; x=-8
base_conversion
base_conversion:via-binary
n=214,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11010110
sorting_algorithms
sorting_algorithms:bubble-sort
7, 6, 2, 1, 3
[6,7,2,1,3] ; [6,2,7,1,3] ; [6,2,1,7,3] ; [6,2,1,3,7] ; [2,6,1,3,7] ; [2,1,6,3,7] ; [2,1,3,6,7] ; [1,2,3,6,7]
list_summation
list_summation:pairwise
5, 6, 4, 1
5+6=11 ; 4+1=5 ; 11+5=16
base_conversion
base_conversion:repeated-division
n=178,base=2
DIV:178/2=89,r:0 ; DIV:89/2=44,r:1 ; DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110010
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
9, 8, 6, 0
6+0=6 ; 8+6=14 ; 9+14=23
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(5,5)
D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:via-binary
n=55,base=8
BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:7 ; OUT:67
base_conversion
base_conversion:repeated-division
n=179,base=2
DIV:179/2=89,r:1 ; DIV:89/2=44,r:1 ; DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110011
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,2)
R:(3,2) ; D:(4,2)
list_summation
list_summation:left-to-right
8, 6, 4, 6
8+6=14 ; 14+4=18 ; 18+6=24
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+6=24
6x+6=24 ; x+1=4 ; x=4-1 ; x=3
sorting_algorithms
sorting_algorithms:heap-sort
8, 4, 5, 3, 1
[1,4,5,3,8] ; [5,4,1,3,8] ; [3,4,1,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-6=-30
3x-6=-30 ; 3x=-24 ; x=-8
base_conversion
base_conversion:decomposition
n=205,base=16
TERM:12*16^1=192 ; TERM:13*16^0=13 ; OUT:CD
sorting_algorithms
sorting_algorithms:merge-sort
8, 9, 1, 5, 4
[1,5,8,9,4] ; [1,4,5,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
7, 5, 3, 2, 1
[1,5,3,2,7] ; [5,1,3,2,7] ; [5,2,3,1,7] ; [1,2,3,5,7] ; [3,2,1,5,7] ; [1,2,3,5,7] ; [2,1,3,5,7] ; [1,2,3,5,7]
linear_equation_solving
linear_equation_solving:inverse-ops
6x-36=-6
6x-36=-6 ; x=(-6--36)/6 ; x=30/6 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
531+188
d2:1+8+0=9→w9,c0 ; d1:3+8+0=11→w1,c1 ; d0:5+1+1=7→w7,c0 ; sum=719
sorting_algorithms
sorting_algorithms:merge-sort
0, 4, 2, 6, 9
[0,2,4,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
297+420
d2:7+0+0=7→w7,c0 ; d1:9+2+0=11→w1,c1 ; d0:2+4+1=7→w7,c0 ; sum=717
base_conversion
base_conversion:via-binary
n=77,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1001101
sorting_algorithms
sorting_algorithms:selection-sort
4, 9, 0, 3, 1
[0,9,4,3,1] ; [0,1,4,3,9] ; [0,1,3,4,9] ; [0,1,3,4,9]
base_conversion
base_conversion:decomposition
n=208,base=16
TERM:13*16^1=208 ; TERM:0*16^0=0 ; OUT:D0
list_summation
list_summation:right-to-left
1, 9, 0, 6
0+6=6 ; 9+6=15 ; 1+15=16
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(4,3)
R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-28=7
7x-28=7 ; x=(7--28)/7 ; x=35/7 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
558+538
p100:500+500=1000 ; p10:50+30=80 ; p1:8+8=16 ; sum=1000+80+16=1096
linear_equation_solving
linear_equation_solving:inverse-ops
9x+0=-36
9x+0=-36 ; x=(-36-0)/9 ; x=-36/9 ; x=-4
base_conversion
base_conversion:repeated-division
n=91,base=4
DIV:91/4=22,r:3 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1123
list_summation
list_summation:pairwise
7, 4, 4, 5
7+4=11 ; 4+5=9 ; 11+9=20
base_conversion
base_conversion:decomposition
n=64,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1000
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(4,5)
D:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 3, 7, 2, 9
[3,8,7,2,9] ; [3,7,8,2,9] ; [3,7,2,8,9] ; [3,2,7,8,9] ; [2,3,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
189+817
p100:100+800=900 ; p10:80+10=90 ; p1:9+7=16 ; sum=900+90+16=1006
sorting_algorithms
sorting_algorithms:bubble-sort
0, 6, 4, 8, 5
[0,4,6,8,5] ; [0,4,6,5,8] ; [0,4,5,6,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(3,2)
D:(2,1) ; D:(3,1) ; R:(3,2)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-4=-40
4x-4=-40 ; x+-1=-10 ; x=-10--1 ; x=-9
base_conversion
base_conversion:repeated-division
n=71,base=8
DIV:71/8=8,r:7 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:107
base_conversion
base_conversion:repeated-division
n=7,base=8
DIV:7/8=0,r:7 ; OUT:7
linear_equation_solving
linear_equation_solving:inverse-ops
2x-8=-14
2x-8=-14 ; x=(-14--8)/2 ; x=-6/2 ; x=-3
base_conversion
base_conversion:decomposition
n=250,base=16
TERM:15*16^1=240 ; TERM:10*16^0=10 ; OUT:FA
sorting_algorithms
sorting_algorithms:bubble-sort
7, 9, 6, 8, 3
[7,6,9,8,3] ; [7,6,8,9,3] ; [7,6,8,3,9] ; [6,7,8,3,9] ; [6,7,3,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9]
base_conversion
base_conversion:via-binary
n=85,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:5 ; OUT:125
multidigit_addition
multidigit_addition:left-to-right-partials
861+715
p100:800+700=1500 ; p10:60+10=70 ; p1:1+5=6 ; sum=1500+70+6=1576
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-20=12
4x-20=12 ; 4x=32 ; x=8
base_conversion
base_conversion:via-binary
n=244,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11110100
list_summation
list_summation:right-to-left
4, 1, 8, 1
8+1=9 ; 1+9=10 ; 4+10=14
list_summation
list_summation:left-to-right
6, 9, 9, 2
6+9=15 ; 15+9=24 ; 24+2=26
multidigit_addition
multidigit_addition:left-to-right-partials
384+782
p100:300+700=1000 ; p10:80+80=160 ; p1:4+2=6 ; sum=1000+160+6=1166
sorting_algorithms
sorting_algorithms:merge-sort
2, 8, 6, 5, 7
[2,8,5,6,7] ; [2,5,6,8,7] ; [2,5,6,7,8]
base_conversion
base_conversion:decomposition
n=234,base=2
TERM:1*2^7=128 ; 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:11101010
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-8=-20
4x-8=-20 ; 4x=-12 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-16=-20
4x-16=-20 ; x+-4=-5 ; x=-5--4 ; x=-1
base_conversion
base_conversion:via-binary
n=38,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:6 ; OUT:26
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+45=81
9x+45=81 ; 9x=36 ; x=4
list_summation
list_summation:left-to-right
1, 5, 6, 7
1+5=6 ; 6+6=12 ; 12+7=19
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-28=-64
4x-28=-64 ; 4x=-36 ; x=-9
base_conversion
base_conversion:decomposition
n=140,base=4
TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:2030
multidigit_addition
multidigit_addition:left-to-right-partials
187+706
p100:100+700=800 ; p10:80+0=80 ; p1:7+6=13 ; sum=800+80+13=893
base_conversion
base_conversion:decomposition
n=124,base=8
TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:174
list_summation
list_summation:pairwise
7, 8, 1, 2
7+8=15 ; 1+2=3 ; 15+3=18
list_summation
list_summation:right-to-left
8, 3, 4, 9
4+9=13 ; 3+13=16 ; 8+16=24
list_summation
list_summation:left-to-right
3, 2, 3, 4
3+2=5 ; 5+3=8 ; 8+4=12
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-35=-28
7x-35=-28 ; 7x=7 ; x=1
base_conversion
base_conversion:repeated-division
n=20,base=16
DIV:20/16=1,r:4 ; DIV:1/16=0,r:1 ; OUT:14
multidigit_addition
multidigit_addition:rounding-decomposition
754+405
round:760+405=1165 ; adjust:1165-6=1159 ; sum=1159
list_summation
list_summation:right-to-left
8, 0, 6, 8
6+8=14 ; 0+14=14 ; 8+14=22
base_conversion
base_conversion:repeated-division
n=23,base=8
DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:27
sorting_algorithms
sorting_algorithms:heap-sort
8, 5, 0, 7, 3
[8,7,0,5,3] ; [3,7,0,5,8] ; [7,3,0,5,8] ; [7,5,0,3,8] ; [3,5,0,7,8] ; [5,3,0,7,8] ; [0,3,5,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,2)
R:(2,2) ; D:(3,2) ; D:(4,2)
sorting_algorithms
sorting_algorithms:selection-sort
7, 9, 6, 2, 3
[2,9,6,7,3] ; [2,3,6,7,9] ; [2,3,6,7,9] ; [2,3,6,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-4=-16
2x-4=-16 ; 2x=-12 ; x=-6
multidigit_addition
multidigit_addition:right-to-left-carry
116+989
d2:6+9+0=15→w5,c1 ; d1:1+8+1=10→w0,c1 ; d0:1+9+1=11→w1,c1 ; sum=1105
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=-16
8x-24=-16 ; x=(-16--24)/8 ; x=8/8 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
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
3, 4, 7, 6, 9
[3,4,7,6,9] ; [3,4,7,6,9] ; [3,4,6,7,9] ; [3,4,6,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
5, 4, 0, 6, 1
[5,6,0,4,1] ; [6,5,0,4,1] ; [1,5,0,4,6] ; [5,1,0,4,6] ; [5,4,0,1,6] ; [1,4,0,5,6] ; [4,1,0,5,6] ; [0,1,4,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6]
base_conversion
base_conversion:repeated-division
n=135,base=8
DIV:135/8=16,r:7 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:207
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-8=64
8x-8=64 ; 8x=72 ; x=9
sorting_algorithms
sorting_algorithms:bubble-sort
6, 4, 1, 7, 2
[4,6,1,7,2] ; [4,1,6,7,2] ; [4,1,6,2,7] ; [1,4,6,2,7] ; [1,4,2,6,7] ; [1,2,4,6,7]
base_conversion
base_conversion:repeated-division
n=149,base=2
DIV:149/2=74,r:1 ; DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010101
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+0=30
5x+0=30 ; x+0=6 ; x=6-0 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+15=20
5x+15=20 ; x+3=4 ; x=4-3 ; x=1
base_conversion
base_conversion:via-binary
n=229,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3211
list_summation
list_summation:right-to-left
3, 5, 5, 9
5+9=14 ; 5+14=19 ; 3+19=22
base_conversion
base_conversion:via-binary
n=220,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(3,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4)
base_conversion
base_conversion:decomposition
n=83,base=8
TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:3*8^0=3 ; OUT:123
multidigit_addition
multidigit_addition:rounding-decomposition
469+446
round:470+446=916 ; adjust:916-1=915 ; sum=915
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 2, 4, 7, 0
[2,8,4,7,0] ; [2,4,8,7,0] ; [2,4,7,8,0] ; [2,4,7,0,8] ; [2,4,0,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 6, 1, 3, 8
[6,9,1,3,8] ; [1,6,9,3,8] ; [1,3,6,9,8] ; [1,3,6,8,9]
base_conversion
base_conversion:via-binary
n=66,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:102
sorting_algorithms
sorting_algorithms:heap-sort
0, 6, 4, 9, 7
[0,9,4,6,7] ; [9,0,4,6,7] ; [9,7,4,6,0] ; [0,7,4,6,9] ; [7,0,4,6,9] ; [7,6,4,0,9] ; [0,6,4,7,9] ; [6,0,4,7,9] ; [4,0,6,7,9] ; [0,4,6,7,9]