Datasets:
awni00
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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
list_summation
list_summation:pairwise
4, 3, 2, 6
4+3=7 ; 2+6=8 ; 7+8=15
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 3, 5, 1
[2,6,3,5,1] ; [2,3,6,5,1] ; [2,3,5,6,1] ; [2,3,5,1,6] ; [2,3,1,5,6] ; [2,1,3,5,6] ; [1,2,3,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=35
5x+20=35 ; x+4=7 ; x=7-4 ; x=3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; R:(4,3) ; D:(5,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-42
3x-27=-42 ; x+-9=-14 ; x=-14--9 ; x=-5
sorting_algorithms
sorting_algorithms:selection-sort
4, 8, 0, 2, 1
[0,8,4,2,1] ; [0,1,4,2,8] ; [0,1,2,4,8] ; [0,1,2,4,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-27=-39
3x-27=-39 ; 3x=-12 ; x=-4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
multidigit_addition
multidigit_addition:right-to-left-carry
329+397
d2:9+7+0=16→w6,c1 ; d1:2+9+1=12→w2,c1 ; d0:3+3+1=7→w7,c0 ; sum=726
multidigit_addition
multidigit_addition:right-to-left-carry
756+828
d2:6+8+0=14→w4,c1 ; d1:5+2+1=8→w8,c0 ; d0:7+8+0=15→w5,c1 ; sum=1584
multidigit_addition
multidigit_addition:right-to-left-carry
923+434
d2:3+4+0=7→w7,c0 ; d1:2+3+0=5→w5,c0 ; d0:9+4+0=13→w3,c1 ; sum=1357
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(3,4)
D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:left-to-right-partials
976+805
p100:900+800=1700 ; p10:70+0=70 ; p1:6+5=11 ; sum=1700+70+11=1781
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 3, 2, 8
[5,7,3,2,8] ; [3,5,7,2,8] ; [2,3,5,7,8] ; [2,3,5,7,8]
list_summation
list_summation:left-to-right
6, 6, 0, 9
6+6=12 ; 12+0=12 ; 12+9=21
multidigit_addition
multidigit_addition:rounding-decomposition
369+787
round:370+787=1157 ; adjust:1157-1=1156 ; sum=1156
base_conversion
base_conversion:repeated-division
n=116,base=16
DIV:116/16=7,r:4 ; DIV:7/16=0,r:7 ; OUT:74
base_conversion
base_conversion:repeated-division
n=101,base=8
DIV:101/8=12,r:5 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:145
list_summation
list_summation:left-to-right
3, 1, 4, 4
3+1=4 ; 4+4=8 ; 8+4=12
multidigit_addition
multidigit_addition:right-to-left-carry
836+507
d2:6+7+0=13→w3,c1 ; d1:3+0+1=4→w4,c0 ; d0:8+5+0=13→w3,c1 ; sum=1343
base_conversion
base_conversion:repeated-division
n=119,base=8
DIV:119/8=14,r:7 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:167
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(3,5)
D:(2,4) ; D:(3,4) ; R:(3,5)
list_summation
list_summation:pairwise
9, 9, 5, 8
9+9=18 ; 5+8=13 ; 18+13=31
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(5,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-72=-36
9x-72=-36 ; 9x=36 ; x=4
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 5, 8, 6
[2,5,7,8,6] ; [2,5,7,6,8] ; [2,5,6,7,8]
base_conversion
base_conversion:repeated-division
n=130,base=4
DIV:130/4=32,r:2 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2002
list_summation
list_summation:right-to-left
3, 7, 7, 6
7+6=13 ; 7+13=20 ; 3+20=23
base_conversion
base_conversion:decomposition
n=72,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1020
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+24=3
3x+24=3 ; 3x=-21 ; x=-7
list_summation
list_summation:right-to-left
3, 1, 7, 6
7+6=13 ; 1+13=14 ; 3+14=17
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)
sorting_algorithms
sorting_algorithms:heap-sort
4, 0, 7, 6, 3
[4,6,7,0,3] ; [7,6,4,0,3] ; [3,6,4,0,7] ; [6,3,4,0,7] ; [0,3,4,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7]
base_conversion
base_conversion:via-binary
n=90,base=16
BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:10 ; OUT:5A
linear_equation_solving
linear_equation_solving:inverse-ops
3x+27=12
3x+27=12 ; x=(12-27)/3 ; x=-15/3 ; x=-5
multidigit_addition
multidigit_addition:right-to-left-carry
389+800
d2:9+0+0=9→w9,c0 ; d1:8+0+0=8→w8,c0 ; d0:3+8+0=11→w1,c1 ; sum=1189
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 0, 3, 7
[2,9,0,3,7] ; [2,0,9,3,7] ; [2,0,3,9,7] ; [2,0,3,7,9] ; [0,2,3,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
499+967
d2:9+7+0=16→w6,c1 ; d1:9+6+1=16→w6,c1 ; d0:4+9+1=14→w4,c1 ; sum=1466
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=-80
8x-48=-80 ; x+-6=-10 ; x=-10--6 ; x=-4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(5,4)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:right-to-left-carry
164+116
d2:4+6+0=10→w0,c1 ; d1:6+1+1=8→w8,c0 ; d0:1+1+0=2→w2,c0 ; sum=280
list_summation
list_summation:left-to-right
5, 3, 1, 4
5+3=8 ; 8+1=9 ; 9+4=13
linear_equation_solving
linear_equation_solving:inverse-ops
2x-14=-12
2x-14=-12 ; x=(-12--14)/2 ; x=2/2 ; x=1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-15=-12
3x-15=-12 ; 3x=3 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
557+290
round:560+290=850 ; adjust:850-3=847 ; sum=847
list_summation
list_summation:left-to-right
9, 0, 9, 1
9+0=9 ; 9+9=18 ; 18+1=19
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 0, 4, 9
[0,8,3,4,9] ; [0,3,8,4,9] ; [0,3,4,8,9] ; [0,3,4,8,9]
list_summation
list_summation:left-to-right
4, 3, 1, 6
4+3=7 ; 7+1=8 ; 8+6=14
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(1,2)
D:(1,0) ; R:(1,1) ; R:(1,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-9=63
9x-9=63 ; 9x=72 ; x=8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,5)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:right-to-left
5, 5, 3, 9
3+9=12 ; 5+12=17 ; 5+17=22
base_conversion
base_conversion:decomposition
n=81,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:1101
multidigit_addition
multidigit_addition:right-to-left-carry
812+732
d2:2+2+0=4→w4,c0 ; d1:1+3+0=4→w4,c0 ; d0:8+7+0=15→w5,c1 ; sum=1544
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+72=18
9x+72=18 ; x+8=2 ; x=2-8 ; x=-6
sorting_algorithms
sorting_algorithms:insertion-sort
2, 5, 1, 7, 4
[2,5,1,7,4] ; [1,2,5,7,4] ; [1,2,5,7,4] ; [1,2,4,5,7]
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
289+869
d2:9+9+0=18→w8,c1 ; d1:8+6+1=15→w5,c1 ; d0:2+8+1=11→w1,c1 ; sum=1158
list_summation
list_summation:left-to-right
2, 3, 7, 1
2+3=5 ; 5+7=12 ; 12+1=13
sorting_algorithms
sorting_algorithms:insertion-sort
4, 3, 0, 6, 1
[3,4,0,6,1] ; [0,3,4,6,1] ; [0,3,4,6,1] ; [0,1,3,4,6]
list_summation
list_summation:pairwise
9, 1, 2, 5
9+1=10 ; 2+5=7 ; 10+7=17
multidigit_addition
multidigit_addition:right-to-left-carry
573+677
d2:3+7+0=10→w0,c1 ; d1:7+7+1=15→w5,c1 ; d0:5+6+1=12→w2,c1 ; sum=1250
base_conversion
base_conversion:decomposition
n=157,base=16
TERM:9*16^1=144 ; TERM:13*16^0=13 ; OUT:9D
linear_equation_solving
linear_equation_solving:inverse-ops
2x-12=6
2x-12=6 ; x=(6--12)/2 ; x=18/2 ; x=9
multidigit_addition
multidigit_addition:right-to-left-carry
155+119
d2:5+9+0=14→w4,c1 ; d1:5+1+1=7→w7,c0 ; d0:1+1+0=2→w2,c0 ; sum=274
list_summation
list_summation:left-to-right
2, 3, 9, 1
2+3=5 ; 5+9=14 ; 14+1=15
base_conversion
base_conversion:via-binary
n=43,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:11 ; OUT:2B
base_conversion
base_conversion:decomposition
n=171,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2223
multidigit_addition
multidigit_addition:right-to-left-carry
443+906
d2:3+6+0=9→w9,c0 ; d1:4+0+0=4→w4,c0 ; d0:4+9+0=13→w3,c1 ; sum=1349
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,5)
R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
4, 0, 7, 5, 6
[0,4,7,5,6] ; [0,4,5,7,6] ; [0,4,5,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+27=3
3x+27=3 ; x=(3-27)/3 ; x=-24/3 ; x=-8
base_conversion
base_conversion:via-binary
n=239,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:357
sorting_algorithms
sorting_algorithms:insertion-sort
7, 6, 8, 4, 5
[6,7,8,4,5] ; [6,7,8,4,5] ; [4,6,7,8,5] ; [4,5,6,7,8]
list_summation
list_summation:pairwise
7, 0, 5, 2
7+0=7 ; 5+2=7 ; 7+7=14
base_conversion
base_conversion:repeated-division
n=204,base=16
DIV:204/16=12,r:12 ; DIV:12/16=0,r:12 ; OUT:CC
multidigit_addition
multidigit_addition:right-to-left-carry
881+561
d2:1+1+0=2→w2,c0 ; d1:8+6+0=14→w4,c1 ; d0:8+5+1=14→w4,c1 ; sum=1442
multidigit_addition
multidigit_addition:rounding-decomposition
937+102
round:940+102=1042 ; adjust:1042-3=1039 ; sum=1039
multidigit_addition
multidigit_addition:right-to-left-carry
354+371
d2:4+1+0=5→w5,c0 ; d1:5+7+0=12→w2,c1 ; d0:3+3+1=7→w7,c0 ; sum=725
sorting_algorithms
sorting_algorithms:merge-sort
7, 2, 4, 0, 5
[2,7,4,0,5] ; [2,7,0,4,5] ; [0,2,4,7,5] ; [0,2,4,5,7]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+63=36
9x+63=36 ; 9x=-27 ; x=-3
multidigit_addition
multidigit_addition:right-to-left-carry
542+738
d2:2+8+0=10→w0,c1 ; d1:4+3+1=8→w8,c0 ; d0:5+7+0=12→w2,c1 ; sum=1280
list_summation
list_summation:pairwise
7, 9, 7, 8
7+9=16 ; 7+8=15 ; 16+15=31
list_summation
list_summation:right-to-left
9, 8, 5, 3
5+3=8 ; 8+8=16 ; 9+16=25
list_summation
list_summation:right-to-left
6, 8, 4, 3
4+3=7 ; 8+7=15 ; 6+15=21
sorting_algorithms
sorting_algorithms:heap-sort
3, 4, 5, 9, 1
[3,9,5,4,1] ; [9,3,5,4,1] ; [9,4,5,3,1] ; [1,4,5,3,9] ; [5,4,1,3,9] ; [3,4,1,5,9] ; [4,3,1,5,9] ; [1,3,4,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9]
base_conversion
base_conversion:decomposition
n=205,base=4
TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3031
base_conversion
base_conversion:repeated-division
n=124,base=4
DIV:124/4=31,r:0 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1330
sorting_algorithms
sorting_algorithms:selection-sort
7, 0, 3, 8, 2
[0,7,3,8,2] ; [0,2,3,8,7] ; [0,2,3,8,7] ; [0,2,3,7,8]
base_conversion
base_conversion:via-binary
n=86,base=16
BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:6 ; OUT:56
sorting_algorithms
sorting_algorithms:heap-sort
2, 7, 4, 3, 0
[7,2,4,3,0] ; [7,3,4,2,0] ; [0,3,4,2,7] ; [4,3,0,2,7] ; [2,3,0,4,7] ; [3,2,0,4,7] ; [0,2,3,4,7] ; [2,0,3,4,7] ; [0,2,3,4,7]
list_summation
list_summation:right-to-left
1, 7, 0, 7
0+7=7 ; 7+7=14 ; 1+14=15
base_conversion
base_conversion:repeated-division
n=160,base=2
DIV:160/2=80,r:0 ; DIV:80/2=40,r:0 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; 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:10100000
sorting_algorithms
sorting_algorithms:insertion-sort
7, 8, 6, 9, 2
[7,8,6,9,2] ; [6,7,8,9,2] ; [6,7,8,9,2] ; [2,6,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
list_summation
list_summation:pairwise
0, 2, 3, 4
0+2=2 ; 3+4=7 ; 2+7=9
linear_equation_solving
linear_equation_solving:inverse-ops
7x+42=42
7x+42=42 ; x=(42-42)/7 ; x=0/7 ; x=0
sorting_algorithms
sorting_algorithms:heap-sort
1, 7, 3, 5, 9
[1,9,3,5,7] ; [9,1,3,5,7] ; [9,7,3,5,1] ; [1,7,3,5,9] ; [7,1,3,5,9] ; [7,5,3,1,9] ; [1,5,3,7,9] ; [5,1,3,7,9] ; [3,1,5,7,9] ; [1,3,5,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(3,1)
D:(2,0) ; D:(3,0) ; R:(3,1)