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
base_conversion
base_conversion:repeated-division
n=93,base=8
DIV:93/8=11,r:5 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:135
multidigit_addition
multidigit_addition:rounding-decomposition
103+967
round:110+967=1077 ; adjust:1077-7=1070 ; sum=1070
list_summation
list_summation:left-to-right
4, 0, 5, 6
4+0=4 ; 4+5=9 ; 9+6=15
sorting_algorithms
sorting_algorithms:selection-sort
2, 7, 6, 9, 8
[2,7,6,9,8] ; [2,6,7,9,8] ; [2,6,7,9,8] ; [2,6,7,8,9]
list_summation
list_summation:right-to-left
1, 1, 0, 5
0+5=5 ; 1+5=6 ; 1+6=7
list_summation
list_summation:pairwise
1, 2, 7, 9
1+2=3 ; 7+9=16 ; 3+16=19
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=28
4x+36=28 ; x+9=7 ; x=7-9 ; x=-2
multidigit_addition
multidigit_addition:left-to-right-partials
338+304
p100:300+300=600 ; p10:30+0=30 ; p1:8+4=12 ; sum=600+30+12=642
multidigit_addition
multidigit_addition:rounding-decomposition
403+168
round:410+168=578 ; adjust:578-7=571 ; sum=571
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+32=28
4x+32=28 ; 4x=-4 ; x=-1
list_summation
list_summation:right-to-left
6, 6, 4, 5
4+5=9 ; 6+9=15 ; 6+15=21
base_conversion
base_conversion:via-binary
n=92,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1130
list_summation
list_summation:pairwise
7, 0, 9, 6
7+0=7 ; 9+6=15 ; 7+15=22
base_conversion
base_conversion:repeated-division
n=153,base=8
DIV:153/8=19,r:1 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:231
list_summation
list_summation:pairwise
2, 2, 6, 6
2+2=4 ; 6+6=12 ; 4+12=16
multidigit_addition
multidigit_addition:left-to-right-partials
386+295
p100:300+200=500 ; p10:80+90=170 ; p1:6+5=11 ; sum=500+170+11=681
list_summation
list_summation:pairwise
9, 6, 2, 7
9+6=15 ; 2+7=9 ; 15+9=24
list_summation
list_summation:left-to-right
1, 5, 7, 5
1+5=6 ; 6+7=13 ; 13+5=18
base_conversion
base_conversion:repeated-division
n=4,base=4
DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:10
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+15=0
3x+15=0 ; 3x=-15 ; x=-5
base_conversion
base_conversion:repeated-division
n=174,base=16
DIV:174/16=10,r:14 ; DIV:10/16=0,r:10 ; OUT:AE
list_summation
list_summation:right-to-left
4, 0, 7, 1
7+1=8 ; 0+8=8 ; 4+8=12
linear_equation_solving
linear_equation_solving:inverse-ops
5x+40=35
5x+40=35 ; x=(35-40)/5 ; x=-5/5 ; x=-1
base_conversion
base_conversion:decomposition
n=241,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:3301
sorting_algorithms
sorting_algorithms:heap-sort
8, 9, 5, 4, 2
[9,8,5,4,2] ; [2,8,5,4,9] ; [8,2,5,4,9] ; [8,4,5,2,9] ; [2,4,5,8,9] ; [5,4,2,8,9] ; [2,4,5,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9]
list_summation
list_summation:left-to-right
5, 5, 5, 4
5+5=10 ; 10+5=15 ; 15+4=19
multidigit_addition
multidigit_addition:right-to-left-carry
268+863
d2:8+3+0=11→w1,c1 ; d1:6+6+1=13→w3,c1 ; d0:2+8+1=11→w1,c1 ; sum=1131
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+35=80
5x+35=80 ; x=(80-35)/5 ; x=45/5 ; x=9
base_conversion
base_conversion:decomposition
n=241,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11110001
base_conversion
base_conversion:decomposition
n=92,base=16
TERM:5*16^1=80 ; TERM:12*16^0=12 ; OUT:5C
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-18=-99
9x-18=-99 ; 9x=-81 ; x=-9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(2,3)
R:(0,3) ; D:(1,3) ; D:(2,3)
list_summation
list_summation:left-to-right
9, 7, 5, 7
9+7=16 ; 16+5=21 ; 21+7=28
list_summation
list_summation:right-to-left
7, 8, 5, 0
5+0=5 ; 8+5=13 ; 7+13=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:insertion-sort
6, 5, 7, 0, 4
[5,6,7,0,4] ; [5,6,7,0,4] ; [0,5,6,7,4] ; [0,4,5,6,7]
list_summation
list_summation:right-to-left
5, 6, 6, 0
6+0=6 ; 6+6=12 ; 5+12=17
list_summation
list_summation:left-to-right
5, 8, 3, 3
5+8=13 ; 13+3=16 ; 16+3=19
sorting_algorithms
sorting_algorithms:heap-sort
6, 0, 1, 3, 2
[6,3,1,0,2] ; [2,3,1,0,6] ; [3,2,1,0,6] ; [0,2,1,3,6] ; [2,0,1,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6]
base_conversion
base_conversion:decomposition
n=152,base=8
TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:230
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,5)
R:(2,4) ; R:(2,5) ; D:(3,5)
sorting_algorithms
sorting_algorithms:bubble-sort
1, 9, 3, 7, 6
[1,3,9,7,6] ; [1,3,7,9,6] ; [1,3,7,6,9] ; [1,3,6,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
143+581
d2:3+1+0=4→w4,c0 ; d1:4+8+0=12→w2,c1 ; d0:1+5+1=7→w7,c0 ; sum=724
list_summation
list_summation:left-to-right
7, 1, 4, 2
7+1=8 ; 8+4=12 ; 12+2=14
linear_equation_solving
linear_equation_solving:inverse-ops
4x+16=52
4x+16=52 ; x=(52-16)/4 ; x=36/4 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,2)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-48=-12
6x-48=-12 ; x+-8=-2 ; x=-2--8 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
2, 4, 0, 9, 1
[2,0,4,9,1] ; [2,0,4,1,9] ; [0,2,4,1,9] ; [0,2,1,4,9] ; [0,1,2,4,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+21=0
3x+21=0 ; 3x=-21 ; x=-7
multidigit_addition
multidigit_addition:rounding-decomposition
878+571
round:880+571=1451 ; adjust:1451-2=1449 ; sum=1449
list_summation
list_summation:left-to-right
3, 6, 3, 0
3+6=9 ; 9+3=12 ; 12+0=12
base_conversion
base_conversion:via-binary
n=73,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111
sorting_algorithms
sorting_algorithms:bubble-sort
8, 5, 7, 2, 6
[5,8,7,2,6] ; [5,7,8,2,6] ; [5,7,2,8,6] ; [5,7,2,6,8] ; [5,2,7,6,8] ; [5,2,6,7,8] ; [2,5,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
793+108
round:800+108=908 ; adjust:908-7=901 ; sum=901
base_conversion
base_conversion:via-binary
n=98,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:142
base_conversion
base_conversion:decomposition
n=71,base=16
TERM:4*16^1=64 ; TERM:7*16^0=7 ; OUT:47
sorting_algorithms
sorting_algorithms:merge-sort
7, 9, 3, 1, 4
[7,9,1,3,4] ; [1,3,7,9,4] ; [1,3,4,7,9]
list_summation
list_summation:left-to-right
2, 0, 3, 6
2+0=2 ; 2+3=5 ; 5+6=11
list_summation
list_summation:left-to-right
9, 4, 0, 7
9+4=13 ; 13+0=13 ; 13+7=20
list_summation
list_summation:pairwise
7, 8, 3, 6
7+8=15 ; 3+6=9 ; 15+9=24
list_summation
list_summation:right-to-left
4, 0, 6, 1
6+1=7 ; 0+7=7 ; 4+7=11
multidigit_addition
multidigit_addition:rounding-decomposition
563+704
round:570+704=1274 ; adjust:1274-7=1267 ; sum=1267
linear_equation_solving
linear_equation_solving:inverse-ops
6x-30=-66
6x-30=-66 ; x=(-66--30)/6 ; x=-36/6 ; x=-6
multidigit_addition
multidigit_addition:left-to-right-partials
805+133
p100:800+100=900 ; p10:0+30=30 ; p1:5+3=8 ; sum=900+30+8=938
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-8=-14
2x-8=-14 ; x+-4=-7 ; x=-7--4 ; x=-3
list_summation
list_summation:pairwise
0, 7, 6, 5
0+7=7 ; 6+5=11 ; 7+11=18
sorting_algorithms
sorting_algorithms:insertion-sort
3, 6, 1, 2, 5
[3,6,1,2,5] ; [1,3,6,2,5] ; [1,2,3,6,5] ; [1,2,3,5,6]
list_summation
list_summation:left-to-right
6, 2, 4, 8
6+2=8 ; 8+4=12 ; 12+8=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+45=72
9x+45=72 ; 9x=27 ; x=3
list_summation
list_summation:right-to-left
3, 0, 7, 6
7+6=13 ; 0+13=13 ; 3+13=16
linear_equation_solving
linear_equation_solving:inverse-ops
2x+6=24
2x+6=24 ; x=(24-6)/2 ; x=18/2 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,5)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=75,base=16
TERM:4*16^1=64 ; TERM:11*16^0=11 ; OUT:4B
sorting_algorithms
sorting_algorithms:merge-sort
1, 7, 5, 8, 3
[1,5,7,8,3] ; [1,3,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
6, 7, 9, 2, 8
[6,7,2,9,8] ; [6,7,2,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
1, 3, 2, 0, 9
[0,3,2,1,9] ; [0,1,2,3,9] ; [0,1,2,3,9] ; [0,1,2,3,9]
multidigit_addition
multidigit_addition:rounding-decomposition
820+802
round:820+802=1622 ; adjust:1622-0=1622 ; sum=1622
list_summation
list_summation:left-to-right
7, 1, 8, 8
7+1=8 ; 8+8=16 ; 16+8=24
multidigit_addition
multidigit_addition:left-to-right-partials
197+974
p100:100+900=1000 ; p10:90+70=160 ; p1:7+4=11 ; sum=1000+160+11=1171
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+16=-24
8x+16=-24 ; x+2=-3 ; x=-3-2 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
list_summation
list_summation:pairwise
1, 8, 4, 5
1+8=9 ; 4+5=9 ; 9+9=18
list_summation
list_summation:pairwise
0, 9, 1, 2
0+9=9 ; 1+2=3 ; 9+3=12
sorting_algorithms
sorting_algorithms:bubble-sort
0, 2, 7, 4, 6
[0,2,4,7,6] ; [0,2,4,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
812+109
round:820+109=929 ; adjust:929-8=921 ; sum=921
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,5)
R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+27=108
9x+27=108 ; x+3=12 ; x=12-3 ; x=9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(4,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 6, 9, 8, 1
[5,8,9,6,1] ; [9,8,5,6,1] ; [1,8,5,6,9] ; [8,1,5,6,9] ; [8,6,5,1,9] ; [1,6,5,8,9] ; [6,1,5,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x-15=-9
3x-15=-9 ; x=(-9--15)/3 ; x=6/3 ; x=2
multidigit_addition
multidigit_addition:rounding-decomposition
485+259
round:490+259=749 ; adjust:749-5=744 ; sum=744
sorting_algorithms
sorting_algorithms:heap-sort
3, 5, 0, 1, 2
[5,3,0,1,2] ; [2,3,0,1,5] ; [3,2,0,1,5] ; [1,2,0,3,5] ; [2,1,0,3,5] ; [0,1,2,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5]
list_summation
list_summation:pairwise
4, 0, 2, 2
4+0=4 ; 2+2=4 ; 4+4=8
list_summation
list_summation:right-to-left
9, 5, 3, 1
3+1=4 ; 5+4=9 ; 9+9=18
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,4)
D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)