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
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(3,4)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:heap-sort
1, 8, 4, 5, 6
[8,1,4,5,6] ; [8,6,4,5,1] ; [1,6,4,5,8] ; [6,1,4,5,8] ; [6,5,4,1,8] ; [1,5,4,6,8] ; [5,1,4,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8]
multidigit_addition
multidigit_addition:left-to-right-partials
299+189
p100:200+100=300 ; p10:90+80=170 ; p1:9+9=18 ; sum=300+170+18=488
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-28=4
4x-28=4 ; x+-7=1 ; x=1--7 ; x=8
sorting_algorithms
sorting_algorithms:selection-sort
8, 0, 9, 7, 2
[0,8,9,7,2] ; [0,2,9,7,8] ; [0,2,7,9,8] ; [0,2,7,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
5, 0, 6, 1, 8
[0,5,6,1,8] ; [0,1,6,5,8] ; [0,1,5,6,8] ; [0,1,5,6,8]
list_summation
list_summation:right-to-left
5, 6, 8, 2
8+2=10 ; 6+10=16 ; 5+16=21
sorting_algorithms
sorting_algorithms:heap-sort
8, 9, 4, 7, 1
[9,8,4,7,1] ; [1,8,4,7,9] ; [8,1,4,7,9] ; [8,7,4,1,9] ; [1,7,4,8,9] ; [7,1,4,8,9] ; [4,1,7,8,9] ; [1,4,7,8,9]
list_summation
list_summation:right-to-left
2, 0, 1, 5
1+5=6 ; 0+6=6 ; 2+6=8
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)
sorting_algorithms
sorting_algorithms:heap-sort
0, 9, 7, 3, 4
[9,0,7,3,4] ; [9,4,7,3,0] ; [0,4,7,3,9] ; [7,4,0,3,9] ; [3,4,0,7,9] ; [4,3,0,7,9] ; [0,3,4,7,9] ; [3,0,4,7,9] ; [0,3,4,7,9]
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)
sorting_algorithms
sorting_algorithms:selection-sort
4, 1, 0, 3, 7
[0,1,4,3,7] ; [0,1,4,3,7] ; [0,1,3,4,7] ; [0,1,3,4,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,2)
R:(3,2) ; D:(4,2) ; D:(5,2)
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=-96
8x-48=-96 ; x+-6=-12 ; x=-12--6 ; x=-6
sorting_algorithms
sorting_algorithms:selection-sort
8, 6, 1, 2, 3
[1,6,8,2,3] ; [1,2,8,6,3] ; [1,2,3,6,8] ; [1,2,3,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
914+587
d2:4+7+0=11→w1,c1 ; d1:1+8+1=10→w0,c1 ; d0:9+5+1=15→w5,c1 ; sum=1501
sorting_algorithms
sorting_algorithms:merge-sort
6, 2, 7, 9, 8
[2,6,7,9,8] ; [2,6,7,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
471+943
d2:1+3+0=4→w4,c0 ; d1:7+4+0=11→w1,c1 ; d0:4+9+1=14→w4,c1 ; sum=1414
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+14=-35
7x+14=-35 ; x+2=-5 ; x=-5-2 ; x=-7
base_conversion
base_conversion:repeated-division
n=242,base=16
DIV:242/16=15,r:2 ; DIV:15/16=0,r:15 ; OUT:F2
base_conversion
base_conversion:repeated-division
n=242,base=8
DIV:242/8=30,r:2 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:362
multidigit_addition
multidigit_addition:left-to-right-partials
453+831
p100:400+800=1200 ; p10:50+30=80 ; p1:3+1=4 ; sum=1200+80+4=1284
multidigit_addition
multidigit_addition:right-to-left-carry
221+194
d2:1+4+0=5→w5,c0 ; d1:2+9+0=11→w1,c1 ; d0:2+1+1=4→w4,c0 ; sum=415
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-4=8
2x-4=8 ; 2x=12 ; x=6
multidigit_addition
multidigit_addition:rounding-decomposition
444+938
round:450+938=1388 ; adjust:1388-6=1382 ; sum=1382
multidigit_addition
multidigit_addition:left-to-right-partials
751+610
p100:700+600=1300 ; p10:50+10=60 ; p1:1+0=1 ; sum=1300+60+1=1361
multidigit_addition
multidigit_addition:right-to-left-carry
457+769
d2:7+9+0=16→w6,c1 ; d1:5+6+1=12→w2,c1 ; d0:4+7+1=12→w2,c1 ; sum=1226
list_summation
list_summation:right-to-left
8, 8, 2, 5
2+5=7 ; 8+7=15 ; 8+15=23
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 3, 4, 6
[0,7,3,4,6] ; [0,3,7,4,6] ; [0,3,4,7,6] ; [0,3,4,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
5x-25=-5
5x-25=-5 ; x=(-5--25)/5 ; x=20/5 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
348+865
p100:300+800=1100 ; p10:40+60=100 ; p1:8+5=13 ; sum=1100+100+13=1213
list_summation
list_summation:left-to-right
4, 0, 5, 6
4+0=4 ; 4+5=9 ; 9+6=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+6=-15
3x+6=-15 ; x+2=-5 ; x=-5-2 ; x=-7
base_conversion
base_conversion:via-binary
n=118,base=16
BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
685+830
round:690+830=1520 ; adjust:1520-5=1515 ; sum=1515
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-25=-45
5x-25=-45 ; 5x=-20 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-18=27
9x-18=27 ; x+-2=3 ; x=3--2 ; x=5
list_summation
list_summation:right-to-left
7, 9, 5, 2
5+2=7 ; 9+7=16 ; 7+16=23
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-35=-35
7x-35=-35 ; 7x=0 ; x=0
list_summation
list_summation:right-to-left
4, 2, 8, 8
8+8=16 ; 2+16=18 ; 4+18=22
list_summation
list_summation:right-to-left
4, 2, 5, 6
5+6=11 ; 2+11=13 ; 4+13=17
base_conversion
base_conversion:decomposition
n=49,base=4
TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:301
base_conversion
base_conversion:via-binary
n=143,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2033
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(3,4)
D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
list_summation
list_summation:pairwise
5, 2, 9, 3
5+2=7 ; 9+3=12 ; 7+12=19
linear_equation_solving
linear_equation_solving:inverse-ops
2x-14=-18
2x-14=-18 ; x=(-18--14)/2 ; x=-4/2 ; x=-2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
4, 3, 8, 9, 2
[4,9,8,3,2] ; [9,4,8,3,2] ; [2,4,8,3,9] ; [8,4,2,3,9] ; [3,4,2,8,9] ; [4,3,2,8,9] ; [2,3,4,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(5,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
3, 7, 5, 2, 6
[3,7,2,5,6] ; [2,3,5,7,6] ; [2,3,5,6,7]
base_conversion
base_conversion:repeated-division
n=202,base=2
DIV:202/2=101,r:0 ; DIV:101/2=50,r:1 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; 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:11001010
multidigit_addition
multidigit_addition:rounding-decomposition
578+698
round:580+698=1278 ; adjust:1278-2=1276 ; sum=1276
list_summation
list_summation:right-to-left
4, 1, 7, 5
7+5=12 ; 1+12=13 ; 4+13=17
linear_equation_solving
linear_equation_solving:inverse-ops
9x-45=27
9x-45=27 ; x=(27--45)/9 ; x=72/9 ; x=8
linear_equation_solving
linear_equation_solving:inverse-ops
9x+27=90
9x+27=90 ; x=(90-27)/9 ; x=63/9 ; x=7
base_conversion
base_conversion:decomposition
n=42,base=16
TERM:2*16^1=32 ; TERM:10*16^0=10 ; OUT:2A
list_summation
list_summation:left-to-right
4, 0, 5, 3
4+0=4 ; 4+5=9 ; 9+3=12
list_summation
list_summation:pairwise
9, 4, 1, 6
9+4=13 ; 1+6=7 ; 13+7=20
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 2, 4, 7
[9,7,2,4,0] ; [0,7,2,4,9] ; [7,0,2,4,9] ; [7,4,2,0,9] ; [0,4,2,7,9] ; [4,0,2,7,9] ; [2,0,4,7,9] ; [0,2,4,7,9]
base_conversion
base_conversion:repeated-division
n=121,base=8
DIV:121/8=15,r:1 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:171
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,2)
R:(2,2) ; D:(3,2)
list_summation
list_summation:left-to-right
1, 2, 9, 8
1+2=3 ; 3+9=12 ; 12+8=20
list_summation
list_summation:right-to-left
9, 7, 8, 4
8+4=12 ; 7+12=19 ; 9+19=28
list_summation
list_summation:right-to-left
4, 3, 2, 2
2+2=4 ; 3+4=7 ; 4+7=11
list_summation
list_summation:pairwise
0, 1, 0, 2
0+1=1 ; 0+2=2 ; 1+2=3
sorting_algorithms
sorting_algorithms:insertion-sort
3, 0, 6, 5, 9
[0,3,6,5,9] ; [0,3,6,5,9] ; [0,3,5,6,9] ; [0,3,5,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
240+513
p100:200+500=700 ; p10:40+10=50 ; p1:0+3=3 ; sum=700+50+3=753
sorting_algorithms
sorting_algorithms:heap-sort
3, 2, 8, 4, 7
[3,7,8,4,2] ; [8,7,3,4,2] ; [2,7,3,4,8] ; [7,2,3,4,8] ; [7,4,3,2,8] ; [2,4,3,7,8] ; [4,2,3,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,5)
D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=203,base=16
DIV:203/16=12,r:11 ; DIV:12/16=0,r:12 ; OUT:CB
list_summation
list_summation:right-to-left
1, 5, 1, 4
1+4=5 ; 5+5=10 ; 1+10=11
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(2,4)
R:(1,4) ; D:(2,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-36=-54
9x-36=-54 ; 9x=-18 ; x=-2
sorting_algorithms
sorting_algorithms:merge-sort
8, 0, 6, 1, 2
[0,8,6,1,2] ; [0,8,1,6,2] ; [0,1,6,8,2] ; [0,1,2,6,8]
base_conversion
base_conversion:via-binary
n=140,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:12 ; OUT:8C
base_conversion
base_conversion:via-binary
n=164,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10100100
multidigit_addition
multidigit_addition:right-to-left-carry
770+952
d2:0+2+0=2→w2,c0 ; d1:7+5+0=12→w2,c1 ; d0:7+9+1=17→w7,c1 ; sum=1722
multidigit_addition
multidigit_addition:rounding-decomposition
196+407
round:200+407=607 ; adjust:607-4=603 ; sum=603
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-30=-6
6x-30=-6 ; 6x=24 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=236,base=2
DIV:236/2=118,r:0 ; DIV:118/2=59,r:0 ; DIV:59/2=29,r:1 ; DIV:29/2=14,r:1 ; 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:11101100
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(4,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
base_conversion
base_conversion:repeated-division
n=51,base=8
DIV:51/8=6,r:3 ; DIV:6/8=0,r:6 ; OUT:63
list_summation
list_summation:right-to-left
5, 7, 8, 8
8+8=16 ; 7+16=23 ; 5+23=28
sorting_algorithms
sorting_algorithms:heap-sort
4, 2, 6, 0, 8
[4,8,6,0,2] ; [8,4,6,0,2] ; [2,4,6,0,8] ; [6,4,2,0,8] ; [0,4,2,6,8] ; [4,0,2,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,3)
R:(3,3) ; D:(4,3)
list_summation
list_summation:right-to-left
7, 2, 0, 7
0+7=7 ; 2+7=9 ; 7+9=16
multidigit_addition
multidigit_addition:rounding-decomposition
620+696
round:620+696=1316 ; adjust:1316-0=1316 ; sum=1316
sorting_algorithms
sorting_algorithms:selection-sort
7, 2, 3, 9, 5
[2,7,3,9,5] ; [2,3,7,9,5] ; [2,3,5,9,7] ; [2,3,5,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
488+833
round:490+833=1323 ; adjust:1323-2=1321 ; sum=1321
sorting_algorithms
sorting_algorithms:heap-sort
4, 1, 5, 8, 7
[4,8,5,1,7] ; [8,4,5,1,7] ; [8,7,5,1,4] ; [4,7,5,1,8] ; [7,4,5,1,8] ; [1,4,5,7,8] ; [5,4,1,7,8] ; [1,4,5,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8]
base_conversion
base_conversion:repeated-division
n=147,base=2
DIV:147/2=73,r:1 ; DIV:73/2=36,r:1 ; DIV:36/2=18,r:0 ; 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:10010011
list_summation
list_summation:left-to-right
9, 7, 4, 2
9+7=16 ; 16+4=20 ; 20+2=22
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,3)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:selection-sort
5, 1, 0, 8, 2
[0,1,5,8,2] ; [0,1,5,8,2] ; [0,1,2,8,5] ; [0,1,2,5,8]
base_conversion
base_conversion:via-binary
n=128,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2000