Datasets:
awni00
/
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
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,3)
D:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:rounding-decomposition
557+285
round:560+285=845 ; adjust:845-3=842 ; sum=842
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
6, 6, 4, 3
6+6=12 ; 12+4=16 ; 16+3=19
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+18=-18
9x+18=-18 ; x+2=-2 ; x=-2-2 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-36=-44
4x-36=-44 ; x+-9=-11 ; x=-11--9 ; x=-2
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 2, 0, 7
[1,6,0,2,7] ; [0,1,2,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+14=77
7x+14=77 ; x=(77-14)/7 ; x=63/7 ; x=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-24=-51
3x-24=-51 ; x+-8=-17 ; x=-17--8 ; x=-9
base_conversion
base_conversion:via-binary
n=51,base=8
BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:inverse-ops
4x-24=-44
4x-24=-44 ; x=(-44--24)/4 ; x=-20/4 ; x=-5
multidigit_addition
multidigit_addition:left-to-right-partials
561+648
p100:500+600=1100 ; p10:60+40=100 ; p1:1+8=9 ; sum=1100+100+9=1209
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+0=10
2x+0=10 ; 2x=10 ; x=5
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-21=-24
3x-21=-24 ; 3x=-3 ; x=-1
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 0, 8, 4
[0,3,7,8,4] ; [0,3,7,8,4] ; [0,3,4,8,7] ; [0,3,4,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 1, 9, 5, 0
[1,2,9,5,0] ; [1,2,9,5,0] ; [1,2,5,9,0] ; [0,1,2,5,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
9x+45=90
9x+45=90 ; x=(90-45)/9 ; x=45/9 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
569+532
d2:9+2+0=11→w1,c1 ; d1:6+3+1=10→w0,c1 ; d0:5+5+1=11→w1,c1 ; sum=1101
base_conversion
base_conversion:via-binary
n=210,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:2 ; OUT:D2
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+14=24
2x+14=24 ; x+7=12 ; x=12-7 ; x=5
list_summation
list_summation:right-to-left
1, 7, 2, 9
2+9=11 ; 7+11=18 ; 1+18=19
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)
sorting_algorithms
sorting_algorithms:merge-sort
3, 6, 4, 2, 0
[3,6,2,4,0] ; [2,3,4,6,0] ; [0,2,3,4,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-20=-30
5x-20=-30 ; x+-4=-6 ; x=-6--4 ; x=-2
base_conversion
base_conversion:repeated-division
n=16,base=8
DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:20
list_summation
list_summation:right-to-left
5, 6, 4, 0
4+0=4 ; 6+4=10 ; 5+10=15
base_conversion
base_conversion:decomposition
n=24,base=4
TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:120
multidigit_addition
multidigit_addition:left-to-right-partials
130+684
p100:100+600=700 ; p10:30+80=110 ; p1:0+4=4 ; sum=700+110+4=814
list_summation
list_summation:right-to-left
9, 7, 0, 8
0+8=8 ; 7+8=15 ; 9+15=24
base_conversion
base_conversion:repeated-division
n=230,base=2
DIV:230/2=115,r:0 ; DIV:115/2=57,r:1 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:11100110
base_conversion
base_conversion:via-binary
n=42,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:101010
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(1,4)
R:(0,3) ; R:(0,4) ; D:(1,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-14=-42
7x-14=-42 ; 7x=-28 ; x=-4
base_conversion
base_conversion:via-binary
n=227,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:3 ; OUT:E3
multidigit_addition
multidigit_addition:left-to-right-partials
221+645
p100:200+600=800 ; p10:20+40=60 ; p1:1+5=6 ; sum=800+60+6=866
base_conversion
base_conversion:decomposition
n=173,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2231
multidigit_addition
multidigit_addition:left-to-right-partials
662+563
p100:600+500=1100 ; p10:60+60=120 ; p1:2+3=5 ; sum=1100+120+5=1225
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,3)
D:(4,1) ; R:(4,2) ; R:(4,3)
list_summation
list_summation:left-to-right
1, 4, 7, 8
1+4=5 ; 5+7=12 ; 12+8=20
multidigit_addition
multidigit_addition:right-to-left-carry
430+379
d2:0+9+0=9→w9,c0 ; d1:3+7+0=10→w0,c1 ; d0:4+3+1=8→w8,c0 ; sum=809
linear_equation_solving
linear_equation_solving:inverse-ops
7x+21=0
7x+21=0 ; x=(0-21)/7 ; x=-21/7 ; x=-3
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 0, 8, 5
[0,4,7,8,5] ; [0,4,7,8,5] ; [0,4,5,8,7] ; [0,4,5,7,8]
base_conversion
base_conversion:via-binary
n=203,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:313
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:inverse-ops
3x+3=6
3x+3=6 ; x=(6-3)/3 ; x=3/3 ; x=1
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+16=-16
8x+16=-16 ; x+2=-2 ; x=-2-2 ; x=-4
list_summation
list_summation:pairwise
7, 6, 5, 9
7+6=13 ; 5+9=14 ; 13+14=27
base_conversion
base_conversion:decomposition
n=115,base=16
TERM:7*16^1=112 ; TERM:3*16^0=3 ; OUT:73
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,3)
D:(3,1) ; R:(3,2) ; R:(3,3)
base_conversion
base_conversion:repeated-division
n=51,base=16
DIV:51/16=3,r:3 ; DIV:3/16=0,r:3 ; OUT:33
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-18=-10
2x-18=-10 ; x+-9=-5 ; x=-5--9 ; x=4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
6, 5, 6, 5
6+5=11 ; 6+5=11 ; 11+11=22
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+18=6
2x+18=6 ; 2x=-12 ; x=-6
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=(0,4) ; G=(5,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
953+562
d2:3+2+0=5→w5,c0 ; d1:5+6+0=11→w1,c1 ; d0:9+5+1=15→w5,c1 ; sum=1515
base_conversion
base_conversion:repeated-division
n=154,base=2
DIV:154/2=77,r:0 ; DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; 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:10011010
base_conversion
base_conversion:via-binary
n=195,base=16
BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:3 ; OUT:C3
list_summation
list_summation:right-to-left
9, 3, 6, 0
6+0=6 ; 3+6=9 ; 9+9=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-7=42
7x-7=42 ; x+-1=6 ; x=6--1 ; x=7
list_summation
list_summation:pairwise
3, 1, 8, 8
3+1=4 ; 8+8=16 ; 4+16=20
multidigit_addition
multidigit_addition:left-to-right-partials
718+637
p100:700+600=1300 ; p10:10+30=40 ; p1:8+7=15 ; sum=1300+40+15=1355
sorting_algorithms
sorting_algorithms:heap-sort
5, 8, 4, 2, 0
[8,5,4,2,0] ; [0,5,4,2,8] ; [5,0,4,2,8] ; [5,2,4,0,8] ; [0,2,4,5,8] ; [4,2,0,5,8] ; [0,2,4,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8]
multidigit_addition
multidigit_addition:right-to-left-carry
919+238
d2:9+8+0=17→w7,c1 ; d1:1+3+1=5→w5,c0 ; d0:9+2+0=11→w1,c1 ; sum=1157
base_conversion
base_conversion:repeated-division
n=232,base=2
DIV:232/2=116,r:0 ; DIV:116/2=58,r:0 ; DIV:58/2=29,r:0 ; 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:11101000
multidigit_addition
multidigit_addition:right-to-left-carry
633+455
d2:3+5+0=8→w8,c0 ; d1:3+5+0=8→w8,c0 ; d0:6+4+0=10→w0,c1 ; sum=1088
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-27=-99
9x-27=-99 ; 9x=-72 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+18=22
2x+18=22 ; 2x=4 ; x=2
multidigit_addition
multidigit_addition:right-to-left-carry
480+601
d2:0+1+0=1→w1,c0 ; d1:8+0+0=8→w8,c0 ; d0:4+6+0=10→w0,c1 ; sum=1081
sorting_algorithms
sorting_algorithms:merge-sort
3, 1, 8, 9, 5
[1,3,8,9,5] ; [1,3,5,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
7, 4, 8, 0, 5
[4,7,8,0,5] ; [4,7,0,8,5] ; [4,7,0,5,8] ; [4,0,7,5,8] ; [4,0,5,7,8] ; [0,4,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 2, 6, 0
[3,2,9,6,0] ; [3,2,6,9,0] ; [3,2,6,0,9] ; [2,3,6,0,9] ; [2,3,0,6,9] ; [2,0,3,6,9] ; [0,2,3,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
list_summation
list_summation:left-to-right
4, 9, 9, 6
4+9=13 ; 13+9=22 ; 22+6=28
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(2,5)
D:(2,3) ; R:(2,4) ; R:(2,5)
list_summation
list_summation:right-to-left
7, 6, 7, 9
7+9=16 ; 6+16=22 ; 7+22=29
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+27=0
3x+27=0 ; 3x=-27 ; x=-9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(4,4)
R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+10=50
5x+10=50 ; x=(50-10)/5 ; x=40/5 ; x=8
sorting_algorithms
sorting_algorithms:insertion-sort
8, 5, 9, 3, 6
[5,8,9,3,6] ; [5,8,9,3,6] ; [3,5,8,9,6] ; [3,5,6,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=10
5x+40=10 ; 5x=-30 ; x=-6
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,4)
R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-72=-9
9x-72=-9 ; 9x=63 ; x=7
base_conversion
base_conversion:repeated-division
n=230,base=8
DIV:230/8=28,r:6 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:346
base_conversion
base_conversion:via-binary
n=124,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1111100
base_conversion
base_conversion:via-binary
n=244,base=16
BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:4 ; OUT:F4
base_conversion
base_conversion:decomposition
n=249,base=16
TERM:15*16^1=240 ; TERM:9*16^0=9 ; OUT:F9
base_conversion
base_conversion:via-binary
n=110,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1101110
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+0=48
6x+0=48 ; x+0=8 ; x=8-0 ; x=8
base_conversion
base_conversion:via-binary
n=59,base=16
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:11 ; OUT:3B
base_conversion
base_conversion:repeated-division
n=102,base=8
DIV:102/8=12,r:6 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:146
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-14=-70
7x-14=-70 ; x+-2=-10 ; x=-10--2 ; x=-8
multidigit_addition
multidigit_addition:rounding-decomposition
623+663
round:630+663=1293 ; adjust:1293-7=1286 ; sum=1286
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+12=12
6x+12=12 ; x+2=2 ; x=2-2 ; x=0
base_conversion
base_conversion:via-binary
n=119,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1313
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=65,base=16
DIV:65/16=4,r:1 ; DIV:4/16=0,r:4 ; OUT:41