Datasets:
awni00
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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
multidigit_addition
multidigit_addition:left-to-right-partials
980+705
p100:900+700=1600 ; p10:80+0=80 ; p1:0+5=5 ; sum=1600+80+5=1685
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+3=12
3x+3=12 ; x+1=4 ; x=4-1 ; x=3
base_conversion
base_conversion:via-binary
n=215,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:7 ; OUT:D7
sorting_algorithms
sorting_algorithms:selection-sort
9, 5, 8, 3, 2
[2,5,8,3,9] ; [2,3,8,5,9] ; [2,3,5,8,9] ; [2,3,5,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
4, 3, 9, 5, 2
[2,3,9,5,4] ; [2,3,9,5,4] ; [2,3,4,5,9] ; [2,3,4,5,9]
sorting_algorithms
sorting_algorithms:bubble-sort
0, 8, 2, 9, 1
[0,2,8,9,1] ; [0,2,8,1,9] ; [0,2,1,8,9] ; [0,1,2,8,9]
base_conversion
base_conversion:via-binary
n=198,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:306
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-64=-48
8x-64=-48 ; x+-8=-6 ; x=-6--8 ; x=2
base_conversion
base_conversion:repeated-division
n=10,base=2
DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010
multidigit_addition
multidigit_addition:left-to-right-partials
162+886
p100:100+800=900 ; p10:60+80=140 ; p1:2+6=8 ; sum=900+140+8=1048
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-21=-84
7x-21=-84 ; x+-3=-12 ; x=-12--3 ; x=-9
sorting_algorithms
sorting_algorithms:merge-sort
0, 6, 3, 4, 7
[0,3,4,6,7]
base_conversion
base_conversion:via-binary
n=242,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010
sorting_algorithms
sorting_algorithms:merge-sort
0, 7, 6, 3, 9
[0,7,3,6,9] ; [0,3,6,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,3)
R:(2,3) ; D:(3,3)
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=28
7x+56=28 ; x=(28-56)/7 ; x=-28/7 ; x=-4
base_conversion
base_conversion:decomposition
n=230,base=4
TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3212
sorting_algorithms
sorting_algorithms:selection-sort
3, 5, 1, 9, 7
[1,5,3,9,7] ; [1,3,5,9,7] ; [1,3,5,9,7] ; [1,3,5,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
712+349
round:720+349=1069 ; adjust:1069-8=1061 ; sum=1061
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
list_summation
list_summation:left-to-right
0, 9, 5, 0
0+9=9 ; 9+5=14 ; 14+0=14
list_summation
list_summation:pairwise
2, 7, 7, 7
2+7=9 ; 7+7=14 ; 9+14=23
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(5,5)
D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
275+295
round:280+295=575 ; adjust:575-5=570 ; sum=570
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(4,3)
D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3)
base_conversion
base_conversion:via-binary
n=152,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2120
list_summation
list_summation:pairwise
9, 2, 8, 6
9+2=11 ; 8+6=14 ; 11+14=25
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)
multidigit_addition
multidigit_addition:left-to-right-partials
625+620
p100:600+600=1200 ; p10:20+20=40 ; p1:5+0=5 ; sum=1200+40+5=1245
multidigit_addition
multidigit_addition:left-to-right-partials
507+826
p100:500+800=1300 ; p10:0+20=20 ; p1:7+6=13 ; sum=1300+20+13=1333
list_summation
list_summation:pairwise
4, 8, 9, 5
4+8=12 ; 9+5=14 ; 12+14=26
multidigit_addition
multidigit_addition:right-to-left-carry
723+262
d2:3+2+0=5→w5,c0 ; d1:2+6+0=8→w8,c0 ; d0:7+2+0=9→w9,c0 ; sum=985
linear_equation_solving
linear_equation_solving:inverse-ops
5x+20=40
5x+20=40 ; x=(40-20)/5 ; x=20/5 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
934+402
p100:900+400=1300 ; p10:30+0=30 ; p1:4+2=6 ; sum=1300+30+6=1336
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)
sorting_algorithms
sorting_algorithms:heap-sort
8, 1, 0, 5, 6
[8,6,0,5,1] ; [1,6,0,5,8] ; [6,1,0,5,8] ; [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]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-54=-45
9x-54=-45 ; x+-6=-5 ; x=-5--6 ; x=1
base_conversion
base_conversion:via-binary
n=240,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11110000
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
6, 2, 1, 0
6+2=8 ; 8+1=9 ; 9+0=9
linear_equation_solving
linear_equation_solving:inverse-ops
6x+12=42
6x+12=42 ; x=(42-12)/6 ; x=30/6 ; x=5
list_summation
list_summation:left-to-right
8, 0, 8, 8
8+0=8 ; 8+8=16 ; 16+8=24
list_summation
list_summation:left-to-right
9, 2, 9, 9
9+2=11 ; 11+9=20 ; 20+9=29
multidigit_addition
multidigit_addition:right-to-left-carry
874+467
d2:4+7+0=11→w1,c1 ; d1:7+6+1=14→w4,c1 ; d0:8+4+1=13→w3,c1 ; sum=1341
base_conversion
base_conversion:decomposition
n=199,base=8
TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:7*8^0=7 ; OUT:307
sorting_algorithms
sorting_algorithms:merge-sort
0, 4, 1, 5, 6
[0,1,4,5,6]
sorting_algorithms
sorting_algorithms:bubble-sort
4, 6, 7, 1, 8
[4,6,1,7,8] ; [4,1,6,7,8] ; [1,4,6,7,8]
list_summation
list_summation:left-to-right
3, 6, 9, 0
3+6=9 ; 9+9=18 ; 18+0=18
linear_equation_solving
linear_equation_solving:inverse-ops
6x+42=-12
6x+42=-12 ; x=(-12-42)/6 ; x=-54/6 ; x=-9
multidigit_addition
multidigit_addition:rounding-decomposition
515+218
round:520+218=738 ; adjust:738-5=733 ; sum=733
multidigit_addition
multidigit_addition:right-to-left-carry
940+971
d2:0+1+0=1→w1,c0 ; d1:4+7+0=11→w1,c1 ; d0:9+9+1=19→w9,c1 ; sum=1911
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-18=0
3x-18=0 ; 3x=18 ; x=6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,5)
R:(2,4) ; R:(2,5) ; D:(3,5)
list_summation
list_summation:right-to-left
5, 8, 7, 6
7+6=13 ; 8+13=21 ; 5+21=26
linear_equation_solving
linear_equation_solving:inverse-ops
3x-21=-48
3x-21=-48 ; x=(-48--21)/3 ; x=-27/3 ; x=-9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 2, 6, 0, 5
[2,4,6,0,5] ; [2,4,6,0,5] ; [0,2,4,6,5] ; [0,2,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+32=16
4x+32=16 ; x+8=4 ; x=4-8 ; x=-4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
base_conversion
base_conversion:via-binary
n=190,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111110
multidigit_addition
multidigit_addition:left-to-right-partials
568+597
p100:500+500=1000 ; p10:60+90=150 ; p1:8+7=15 ; sum=1000+150+15=1165
multidigit_addition
multidigit_addition:right-to-left-carry
865+329
d2:5+9+0=14→w4,c1 ; d1:6+2+1=9→w9,c0 ; d0:8+3+0=11→w1,c1 ; sum=1194
list_summation
list_summation:pairwise
6, 3, 8, 1
6+3=9 ; 8+1=9 ; 9+9=18
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=56,base=2
DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111000
list_summation
list_summation:right-to-left
0, 3, 5, 6
5+6=11 ; 3+11=14 ; 0+14=14
multidigit_addition
multidigit_addition:left-to-right-partials
836+401
p100:800+400=1200 ; p10:30+0=30 ; p1:6+1=7 ; sum=1200+30+7=1237
sorting_algorithms
sorting_algorithms:heap-sort
3, 5, 8, 4, 2
[8,5,3,4,2] ; [2,5,3,4,8] ; [5,2,3,4,8] ; [5,4,3,2,8] ; [2,4,3,5,8] ; [4,2,3,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
321+460
round:330+460=790 ; adjust:790-9=781 ; sum=781
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,3)
R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3)
base_conversion
base_conversion:decomposition
n=42,base=16
TERM:2*16^1=32 ; TERM:10*16^0=10 ; OUT:2A
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 6, 1, 7
[2,9,6,1,7] ; [2,6,9,1,7] ; [2,6,1,9,7] ; [2,6,1,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9]
list_summation
list_summation:left-to-right
1, 3, 2, 5
1+3=4 ; 4+2=6 ; 6+5=11
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+9=45
9x+9=45 ; 9x=36 ; x=4
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 0, 8, 1
[6,8,0,2,1] ; [8,6,0,2,1] ; [1,6,0,2,8] ; [6,1,0,2,8] ; [6,2,0,1,8] ; [1,2,0,6,8] ; [2,1,0,6,8] ; [0,1,2,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+12=18
6x+12=18 ; x=(18-12)/6 ; x=6/6 ; x=1
base_conversion
base_conversion:decomposition
n=103,base=16
TERM:6*16^1=96 ; TERM:7*16^0=7 ; OUT:67
list_summation
list_summation:left-to-right
9, 9, 6, 1
9+9=18 ; 18+6=24 ; 24+1=25
list_summation
list_summation:left-to-right
9, 2, 3, 7
9+2=11 ; 11+3=14 ; 14+7=21
multidigit_addition
multidigit_addition:right-to-left-carry
543+787
d2:3+7+0=10→w0,c1 ; d1:4+8+1=13→w3,c1 ; d0:5+7+1=13→w3,c1 ; sum=1330
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-63=-99
9x-63=-99 ; x+-7=-11 ; x=-11--7 ; x=-4
list_summation
list_summation:right-to-left
9, 6, 6, 1
6+1=7 ; 6+7=13 ; 9+13=22
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=136,base=16
DIV:136/16=8,r:8 ; DIV:8/16=0,r:8 ; OUT:88
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+49=42
7x+49=42 ; x+7=6 ; x=6-7 ; x=-1
base_conversion
base_conversion:repeated-division
n=43,base=8
DIV:43/8=5,r:3 ; DIV:5/8=0,r:5 ; OUT:53
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-7=21
7x-7=21 ; x+-1=3 ; x=3--1 ; x=4
sorting_algorithms
sorting_algorithms:insertion-sort
5, 9, 2, 1, 4
[5,9,2,1,4] ; [2,5,9,1,4] ; [1,2,5,9,4] ; [1,2,4,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x-24=-6
3x-24=-6 ; x=(-6--24)/3 ; x=18/3 ; x=6
linear_equation_solving
linear_equation_solving:inverse-ops
3x+3=-3
3x+3=-3 ; x=(-3-3)/3 ; x=-6/3 ; x=-2
list_summation
list_summation:right-to-left
7, 9, 1, 8
1+8=9 ; 9+9=18 ; 7+18=25
linear_equation_solving
linear_equation_solving:inverse-ops
4x+16=36
4x+16=36 ; x=(36-16)/4 ; x=20/4 ; x=5
base_conversion
base_conversion:repeated-division
n=57,base=4
DIV:57/4=14,r:1 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:321
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+8=-64
8x+8=-64 ; x+1=-8 ; x=-8-1 ; x=-9
base_conversion
base_conversion:via-binary
n=231,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:3213
base_conversion
base_conversion:repeated-division
n=105,base=4
DIV:105/4=26,r:1 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1221
base_conversion
base_conversion:repeated-division
n=143,base=8
DIV:143/8=17,r:7 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:217
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+0=32
8x+0=32 ; x+0=4 ; x=4-0 ; x=4
list_summation
list_summation:pairwise
6, 8, 2, 1
6+8=14 ; 2+1=3 ; 14+3=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+49=0
7x+49=0 ; x+7=0 ; x=0-7 ; x=-7