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:right-first
grid=6 ; S=(2,3) ; G=(4,4)
R:(2,4) ; D:(3,4) ; D:(4,4)
list_summation
list_summation:pairwise
6, 8, 3, 9
6+8=14 ; 3+9=12 ; 14+12=26
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(4,1)
R:(3,1) ; D:(4,1)
list_summation
list_summation:pairwise
0, 9, 5, 0
0+9=9 ; 5+0=5 ; 9+5=14
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-14=-24
2x-14=-24 ; 2x=-10 ; x=-5
multidigit_addition
multidigit_addition:left-to-right-partials
732+865
p100:700+800=1500 ; p10:30+60=90 ; p1:2+5=7 ; sum=1500+90+7=1597
list_summation
list_summation:pairwise
2, 6, 9, 0
2+6=8 ; 9+0=9 ; 8+9=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+32=32
8x+32=32 ; x+4=4 ; x=4-4 ; x=0
list_summation
list_summation:left-to-right
2, 1, 7, 5
2+1=3 ; 3+7=10 ; 10+5=15
linear_equation_solving
linear_equation_solving:inverse-ops
4x+20=48
4x+20=48 ; x=(48-20)/4 ; x=28/4 ; x=7
base_conversion
base_conversion:via-binary
n=100,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1100100
list_summation
list_summation:left-to-right
3, 3, 8, 1
3+3=6 ; 6+8=14 ; 14+1=15
list_summation
list_summation:pairwise
0, 7, 3, 2
0+7=7 ; 3+2=5 ; 7+5=12
list_summation
list_summation:pairwise
5, 7, 7, 0
5+7=12 ; 7+0=7 ; 12+7=19
list_summation
list_summation:pairwise
5, 9, 6, 0
5+9=14 ; 6+0=6 ; 14+6=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=4
2x+18=4 ; x+9=2 ; x=2-9 ; x=-7
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 7, 0, 3
[2,9,7,0,3] ; [2,7,9,0,3] ; [2,7,0,9,3] ; [2,7,0,3,9] ; [2,0,7,3,9] ; [2,0,3,7,9] ; [0,2,3,7,9]
list_summation
list_summation:right-to-left
2, 7, 6, 4
6+4=10 ; 7+10=17 ; 2+17=19
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=79,base=8
TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:117
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-54=0
9x-54=0 ; x+-6=0 ; x=0--6 ; x=6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(1,1)
R:(0,1) ; D:(1,1)
multidigit_addition
multidigit_addition:rounding-decomposition
823+870
round:830+870=1700 ; adjust:1700-7=1693 ; sum=1693
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,5)
D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
515+651
round:520+651=1171 ; adjust:1171-5=1166 ; sum=1166
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
multidigit_addition
multidigit_addition:left-to-right-partials
889+792
p100:800+700=1500 ; p10:80+90=170 ; p1:9+2=11 ; sum=1500+170+11=1681
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-21=42
7x-21=42 ; 7x=63 ; x=9
multidigit_addition
multidigit_addition:left-to-right-partials
479+438
p100:400+400=800 ; p10:70+30=100 ; p1:9+8=17 ; sum=800+100+17=917
list_summation
list_summation:left-to-right
9, 0, 4, 2
9+0=9 ; 9+4=13 ; 13+2=15
base_conversion
base_conversion:repeated-division
n=32,base=2
DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100000
list_summation
list_summation:left-to-right
1, 7, 5, 7
1+7=8 ; 8+5=13 ; 13+7=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
linear_equation_solving
linear_equation_solving:inverse-ops
2x+0=6
2x+0=6 ; x=(6-0)/2 ; x=6/2 ; x=3
list_summation
list_summation:right-to-left
6, 8, 6, 3
6+3=9 ; 8+9=17 ; 6+17=23
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:right-to-left-carry
939+553
d2:9+3+0=12→w2,c1 ; d1:3+5+1=9→w9,c0 ; d0:9+5+0=14→w4,c1 ; sum=1492
sorting_algorithms
sorting_algorithms:merge-sort
1, 8, 2, 0, 9
[1,8,0,2,9] ; [0,1,2,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
3, 9, 5, 0, 7
[9,3,5,0,7] ; [9,7,5,0,3] ; [3,7,5,0,9] ; [7,3,5,0,9] ; [0,3,5,7,9] ; [5,3,0,7,9] ; [0,3,5,7,9] ; [3,0,5,7,9] ; [0,3,5,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+27=33
3x+27=33 ; 3x=6 ; x=2
list_summation
list_summation:left-to-right
0, 8, 7, 2
0+8=8 ; 8+7=15 ; 15+2=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,4)
R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=62,base=2
DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111110
multidigit_addition
multidigit_addition:right-to-left-carry
272+348
d2:2+8+0=10→w0,c1 ; d1:7+4+1=12→w2,c1 ; d0:2+3+1=6→w6,c0 ; sum=620
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-36=-68
4x-36=-68 ; x+-9=-17 ; x=-17--9 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
5, 7, 8, 2, 6
[8,7,5,2,6] ; [6,7,5,2,8] ; [7,6,5,2,8] ; [2,6,5,7,8] ; [6,2,5,7,8] ; [5,2,6,7,8] ; [2,5,6,7,8]
list_summation
list_summation:left-to-right
0, 1, 1, 6
0+1=1 ; 1+1=2 ; 2+6=8
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+0=-10
5x+0=-10 ; x+0=-2 ; x=-2-0 ; x=-2
sorting_algorithms
sorting_algorithms:merge-sort
7, 2, 0, 6, 8
[2,7,0,6,8] ; [0,2,6,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+35=49
7x+35=49 ; x=(49-35)/7 ; x=14/7 ; x=2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,5)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
513+601
round:520+601=1121 ; adjust:1121-7=1114 ; sum=1114
multidigit_addition
multidigit_addition:left-to-right-partials
227+261
p100:200+200=400 ; p10:20+60=80 ; p1:7+1=8 ; sum=400+80+8=488
list_summation
list_summation:left-to-right
1, 3, 6, 1
1+3=4 ; 4+6=10 ; 10+1=11
base_conversion
base_conversion:via-binary
n=23,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:7 ; OUT:17
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+42=42
7x+42=42 ; 7x=0 ; x=0
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=0
5x+40=0 ; 5x=-40 ; x=-8
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+40=24
8x+40=24 ; x+5=3 ; x=3-5 ; x=-2
base_conversion
base_conversion:repeated-division
n=104,base=4
DIV:104/4=26,r:0 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1220
list_summation
list_summation:left-to-right
0, 6, 1, 5
0+6=6 ; 6+1=7 ; 7+5=12
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+0=20
5x+0=20 ; 5x=20 ; x=4
linear_equation_solving
linear_equation_solving:inverse-ops
8x-8=0
8x-8=0 ; x=(0--8)/8 ; x=8/8 ; x=1
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+16=0
4x+16=0 ; 4x=-16 ; x=-4
multidigit_addition
multidigit_addition:right-to-left-carry
390+232
d2:0+2+0=2→w2,c0 ; d1:9+3+0=12→w2,c1 ; d0:3+2+1=6→w6,c0 ; sum=622
multidigit_addition
multidigit_addition:rounding-decomposition
710+149
round:710+149=859 ; adjust:859-0=859 ; sum=859
multidigit_addition
multidigit_addition:rounding-decomposition
151+215
round:160+215=375 ; adjust:375-9=366 ; sum=366
multidigit_addition
multidigit_addition:left-to-right-partials
812+421
p100:800+400=1200 ; p10:10+20=30 ; p1:2+1=3 ; sum=1200+30+3=1233
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=14
2x+18=14 ; x+9=7 ; x=7-9 ; x=-2
base_conversion
base_conversion:via-binary
n=203,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11001011
multidigit_addition
multidigit_addition:right-to-left-carry
213+660
d2:3+0+0=3→w3,c0 ; d1:1+6+0=7→w7,c0 ; d0:2+6+0=8→w8,c0 ; sum=873
multidigit_addition
multidigit_addition:left-to-right-partials
704+835
p100:700+800=1500 ; p10:0+30=30 ; p1:4+5=9 ; sum=1500+30+9=1539
sorting_algorithms
sorting_algorithms:bubble-sort
6, 4, 9, 1, 0
[4,6,9,1,0] ; [4,6,1,9,0] ; [4,6,1,0,9] ; [4,1,6,0,9] ; [4,1,0,6,9] ; [1,4,0,6,9] ; [1,0,4,6,9] ; [0,1,4,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
383+800
d2:3+0+0=3→w3,c0 ; d1:8+0+0=8→w8,c0 ; d0:3+8+0=11→w1,c1 ; sum=1183
base_conversion
base_conversion:decomposition
n=30,base=2
TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11110
multidigit_addition
multidigit_addition:rounding-decomposition
502+442
round:510+442=952 ; adjust:952-8=944 ; sum=944
list_summation
list_summation:left-to-right
2, 3, 2, 7
2+3=5 ; 5+2=7 ; 7+7=14
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 4, 3, 5
[9,5,4,3,0] ; [0,5,4,3,9] ; [5,0,4,3,9] ; [5,3,4,0,9] ; [0,3,4,5,9] ; [4,3,0,5,9] ; [0,3,4,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9]
base_conversion
base_conversion:repeated-division
n=122,base=2
DIV:122/2=61,r:0 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111010
sorting_algorithms
sorting_algorithms:heap-sort
4, 1, 6, 3, 5
[4,5,6,3,1] ; [6,5,4,3,1] ; [1,5,4,3,6] ; [5,1,4,3,6] ; [5,3,4,1,6] ; [1,3,4,5,6] ; [4,3,1,5,6] ; [1,3,4,5,6] ; [3,1,4,5,6] ; [1,3,4,5,6]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 4, 1, 6, 3
[0,4,1,6,3] ; [0,1,4,6,3] ; [0,1,4,6,3] ; [0,1,3,4,6]
multidigit_addition
multidigit_addition:rounding-decomposition
884+304
round:890+304=1194 ; adjust:1194-6=1188 ; sum=1188
linear_equation_solving
linear_equation_solving:inverse-ops
3x-9=6
3x-9=6 ; x=(6--9)/3 ; x=15/3 ; x=5
list_summation
list_summation:pairwise
7, 9, 8, 0
7+9=16 ; 8+0=8 ; 16+8=24
sorting_algorithms
sorting_algorithms:merge-sort
3, 5, 6, 8, 2
[2,3,5,6,8]
list_summation
list_summation:left-to-right
9, 0, 0, 0
9+0=9 ; 9+0=9 ; 9+0=9
multidigit_addition
multidigit_addition:right-to-left-carry
112+484
d2:2+4+0=6→w6,c0 ; d1:1+8+0=9→w9,c0 ; d0:1+4+0=5→w5,c0 ; sum=596
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
list_summation
list_summation:pairwise
3, 0, 6, 2
3+0=3 ; 6+2=8 ; 3+8=11
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+40=72
8x+40=72 ; x+5=9 ; x=9-5 ; x=4
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-42
3x-27=-42 ; x+-9=-14 ; x=-14--9 ; x=-5
base_conversion
base_conversion:repeated-division
n=59,base=4
DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:323
list_summation
list_summation:left-to-right
2, 5, 9, 4
2+5=7 ; 7+9=16 ; 16+4=20
base_conversion
base_conversion:via-binary
n=176,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2300
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-64=-32
8x-64=-32 ; x+-8=-4 ; x=-4--8 ; x=4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:merge-sort
9, 1, 5, 0, 6
[1,9,5,0,6] ; [1,9,0,5,6] ; [0,1,5,9,6] ; [0,1,5,6,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-45=-70
5x-45=-70 ; 5x=-25 ; x=-5
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-20=5
5x-20=5 ; 5x=25 ; x=5
sorting_algorithms
sorting_algorithms:heap-sort
0, 3, 4, 1, 2
[4,3,0,1,2] ; [2,3,0,1,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4]