Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
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task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
multidigit_addition
multidigit_addition:rounding-decomposition
818+937
round:820+937=1757 ; adjust:1757-2=1755 ; sum=1755
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-63=-77
7x-63=-77 ; 7x=-14 ; x=-2
multidigit_addition
multidigit_addition:left-to-right-partials
446+646
p100:400+600=1000 ; p10:40+40=80 ; p1:6+6=12 ; sum=1000+80+12=1092
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-56
7x-56=-56 ; x=(-56--56)/7 ; x=0/7 ; x=0
sorting_algorithms
sorting_algorithms:bubble-sort
5, 2, 3, 0, 7
[2,5,3,0,7] ; [2,3,5,0,7] ; [2,3,0,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7]
list_summation
list_summation:pairwise
1, 4, 4, 9
1+4=5 ; 4+9=13 ; 5+13=18
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+8=48
8x+8=48 ; 8x=40 ; x=5
list_summation
list_summation:pairwise
7, 4, 9, 1
7+4=11 ; 9+1=10 ; 11+10=21
sorting_algorithms
sorting_algorithms:merge-sort
6, 3, 9, 1, 4
[3,6,9,1,4] ; [3,6,1,9,4] ; [1,3,6,9,4] ; [1,3,4,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-42=12
6x-42=12 ; 6x=54 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x-48=24
8x-48=24 ; x=(24--48)/8 ; x=72/8 ; x=9
multidigit_addition
multidigit_addition:rounding-decomposition
118+839
round:120+839=959 ; adjust:959-2=957 ; sum=957
list_summation
list_summation:pairwise
4, 7, 4, 3
4+7=11 ; 4+3=7 ; 11+7=18
list_summation
list_summation:left-to-right
6, 1, 3, 0
6+1=7 ; 7+3=10 ; 10+0=10
sorting_algorithms
sorting_algorithms:selection-sort
6, 9, 0, 5, 7
[0,9,6,5,7] ; [0,5,6,9,7] ; [0,5,6,9,7] ; [0,5,6,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
7, 4, 9, 2, 3
[9,4,7,2,3] ; [3,4,7,2,9] ; [7,4,3,2,9] ; [2,4,3,7,9] ; [4,2,3,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9]
list_summation
list_summation:right-to-left
5, 9, 8, 0
8+0=8 ; 9+8=17 ; 5+17=22
base_conversion
base_conversion:via-binary
n=220,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11011100
linear_equation_solving
linear_equation_solving:inverse-ops
6x+18=36
6x+18=36 ; x=(36-18)/6 ; x=18/6 ; x=3
linear_equation_solving
linear_equation_solving:inverse-ops
5x-45=-50
5x-45=-50 ; x=(-50--45)/5 ; x=-5/5 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(4,5)
D:(3,4) ; D:(4,4) ; R:(4,5)
list_summation
list_summation:pairwise
2, 5, 6, 8
2+5=7 ; 6+8=14 ; 7+14=21
base_conversion
base_conversion:decomposition
n=235,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:1*2^0=1 ; OUT:11101011
multidigit_addition
multidigit_addition:right-to-left-carry
291+357
d2:1+7+0=8→w8,c0 ; d1:9+5+0=14→w4,c1 ; d0:2+3+1=6→w6,c0 ; sum=648
multidigit_addition
multidigit_addition:left-to-right-partials
341+793
p100:300+700=1000 ; p10:40+90=130 ; p1:1+3=4 ; sum=1000+130+4=1134
base_conversion
base_conversion:repeated-division
n=208,base=4
DIV:208/4=52,r:0 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3100
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:bubble-sort
4, 9, 8, 2, 3
[4,8,9,2,3] ; [4,8,2,9,3] ; [4,8,2,3,9] ; [4,2,8,3,9] ; [4,2,3,8,9] ; [2,4,3,8,9] ; [2,3,4,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-4=-36
4x-4=-36 ; 4x=-32 ; x=-8
sorting_algorithms
sorting_algorithms:insertion-sort
3, 2, 5, 0, 7
[2,3,5,0,7] ; [2,3,5,0,7] ; [0,2,3,5,7] ; [0,2,3,5,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+15=39
3x+15=39 ; x+5=13 ; x=13-5 ; x=8
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 7, 6, 3
[1,4,7,6,3] ; [1,3,7,6,4] ; [1,3,4,6,7] ; [1,3,4,6,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(4,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:merge-sort
0, 8, 7, 4, 3
[0,8,4,7,3] ; [0,4,7,8,3] ; [0,3,4,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-42=-42
7x-42=-42 ; x=(-42--42)/7 ; x=0/7 ; x=0
list_summation
list_summation:pairwise
2, 0, 8, 7
2+0=2 ; 8+7=15 ; 2+15=17
list_summation
list_summation:right-to-left
8, 1, 6, 4
6+4=10 ; 1+10=11 ; 8+11=19
base_conversion
base_conversion:decomposition
n=72,base=16
TERM:4*16^1=64 ; TERM:8*16^0=8 ; OUT:48
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,3)
R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
list_summation
list_summation:right-to-left
6, 6, 8, 0
8+0=8 ; 6+8=14 ; 6+14=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(2,1)
R:(1,1) ; D:(2,1)
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)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
886+357
p100:800+300=1100 ; p10:80+50=130 ; p1:6+7=13 ; sum=1100+130+13=1243
multidigit_addition
multidigit_addition:left-to-right-partials
385+650
p100:300+600=900 ; p10:80+50=130 ; p1:5+0=5 ; sum=900+130+5=1035
multidigit_addition
multidigit_addition:right-to-left-carry
141+896
d2:1+6+0=7→w7,c0 ; d1:4+9+0=13→w3,c1 ; d0:1+8+1=10→w0,c1 ; sum=1037
linear_equation_solving
linear_equation_solving:inverse-ops
5x+25=20
5x+25=20 ; x=(20-25)/5 ; x=-5/5 ; x=-1
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:inverse-ops
3x+12=-9
3x+12=-9 ; x=(-9-12)/3 ; x=-21/3 ; x=-7
multidigit_addition
multidigit_addition:left-to-right-partials
948+141
p100:900+100=1000 ; p10:40+40=80 ; p1:8+1=9 ; sum=1000+80+9=1089
list_summation
list_summation:left-to-right
8, 8, 0, 1
8+8=16 ; 16+0=16 ; 16+1=17
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+10=25
5x+10=25 ; 5x=15 ; x=3
list_summation
list_summation:left-to-right
3, 9, 9, 8
3+9=12 ; 12+9=21 ; 21+8=29
linear_equation_solving
linear_equation_solving:inverse-ops
6x+42=54
6x+42=54 ; x=(54-42)/6 ; x=12/6 ; x=2
base_conversion
base_conversion:decomposition
n=103,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:1213
sorting_algorithms
sorting_algorithms:selection-sort
0, 1, 6, 5, 8
[0,1,6,5,8] ; [0,1,6,5,8] ; [0,1,5,6,8] ; [0,1,5,6,8]
base_conversion
base_conversion:decomposition
n=146,base=8
TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:222
multidigit_addition
multidigit_addition:rounding-decomposition
230+360
round:230+360=590 ; adjust:590-0=590 ; sum=590
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+7=-28
7x+7=-28 ; 7x=-35 ; x=-5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
726+106
d2:6+6+0=12→w2,c1 ; d1:2+0+1=3→w3,c0 ; d0:7+1+0=8→w8,c0 ; sum=832
base_conversion
base_conversion:via-binary
n=53,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:311
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(5,4)
R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
953+394
p100:900+300=1200 ; p10:50+90=140 ; p1:3+4=7 ; sum=1200+140+7=1347
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-28=-52
4x-28=-52 ; 4x=-24 ; x=-6
multidigit_addition
multidigit_addition:left-to-right-partials
242+985
p100:200+900=1100 ; p10:40+80=120 ; p1:2+5=7 ; sum=1100+120+7=1227
base_conversion
base_conversion:repeated-division
n=214,base=16
DIV:214/16=13,r:6 ; DIV:13/16=0,r:13 ; OUT:D6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,3)
R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(2,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:inverse-ops
2x-4=-18
2x-4=-18 ; x=(-18--4)/2 ; x=-14/2 ; x=-7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:right-to-left
2, 6, 5, 0
5+0=5 ; 6+5=11 ; 2+11=13
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=49
7x+56=49 ; x=(49-56)/7 ; x=-7/7 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
809+106
round:810+106=916 ; adjust:916-1=915 ; sum=915
multidigit_addition
multidigit_addition:rounding-decomposition
421+303
round:430+303=733 ; adjust:733-9=724 ; sum=724
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 9, 2, 6
[1,8,9,2,6] ; [1,8,2,9,6] ; [1,8,2,6,9] ; [1,2,8,6,9] ; [1,2,6,8,9]
base_conversion
base_conversion:via-binary
n=161,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2201
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+15=6
3x+15=6 ; x+5=2 ; x=2-5 ; x=-3
list_summation
list_summation:pairwise
0, 9, 1, 6
0+9=9 ; 1+6=7 ; 9+7=16
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
3x-18=-18
3x-18=-18 ; x=(-18--18)/3 ; x=0/3 ; x=0
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
5, 0, 6, 7
5+0=5 ; 6+7=13 ; 5+13=18
base_conversion
base_conversion:via-binary
n=46,base=4
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:232
base_conversion
base_conversion:repeated-division
n=70,base=16
DIV:70/16=4,r:6 ; DIV:4/16=0,r:4 ; OUT:46
multidigit_addition
multidigit_addition:left-to-right-partials
201+779
p100:200+700=900 ; p10:0+70=70 ; p1:1+9=10 ; sum=900+70+10=980
multidigit_addition
multidigit_addition:right-to-left-carry
150+412
d2:0+2+0=2→w2,c0 ; d1:5+1+0=6→w6,c0 ; d0:1+4+0=5→w5,c0 ; sum=562
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=167,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2213
base_conversion
base_conversion:via-binary
n=164,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2210
multidigit_addition
multidigit_addition:right-to-left-carry
956+383
d2:6+3+0=9→w9,c0 ; d1:5+8+0=13→w3,c1 ; d0:9+3+1=13→w3,c1 ; sum=1339
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+0=81
9x+0=81 ; 9x=81 ; x=9
linear_equation_solving
linear_equation_solving:inverse-ops
6x+30=-24
6x+30=-24 ; x=(-24-30)/6 ; x=-54/6 ; x=-9
base_conversion
base_conversion:via-binary
n=184,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:8 ; OUT:B8
multidigit_addition
multidigit_addition:right-to-left-carry
955+241
d2:5+1+0=6→w6,c0 ; d1:5+4+0=9→w9,c0 ; d0:9+2+0=11→w1,c1 ; sum=1196
multidigit_addition
multidigit_addition:right-to-left-carry
432+942
d2:2+2+0=4→w4,c0 ; d1:3+4+0=7→w7,c0 ; d0:4+9+0=13→w3,c1 ; sum=1374
list_summation
list_summation:pairwise
9, 6, 5, 5
9+6=15 ; 5+5=10 ; 15+10=25