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
base_conversion
base_conversion:decomposition
n=144,base=8
TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:220
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,3)
R:(3,3) ; D:(4,3)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+40=30
5x+40=30 ; x=(30-40)/5 ; x=-10/5 ; x=-2
base_conversion
base_conversion:repeated-division
n=134,base=2
DIV:134/2=67,r:0 ; DIV:67/2=33,r:1 ; DIV:33/2=16,r:1 ; 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:10000110
multidigit_addition
multidigit_addition:rounding-decomposition
725+703
round:730+703=1433 ; adjust:1433-5=1428 ; sum=1428
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:via-binary
n=90,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:132
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,5)
D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
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
sorting_algorithms
sorting_algorithms:heap-sort
5, 0, 3, 8, 1
[5,8,3,0,1] ; [8,5,3,0,1] ; [1,5,3,0,8] ; [5,1,3,0,8] ; [0,1,3,5,8] ; [3,1,0,5,8] ; [0,1,3,5,8] ; [1,0,3,5,8] ; [0,1,3,5,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 9, 2, 0, 8
[9,5,2,0,8] ; [9,8,2,0,5] ; [5,8,2,0,9] ; [8,5,2,0,9] ; [0,5,2,8,9] ; [5,0,2,8,9] ; [2,0,5,8,9] ; [0,2,5,8,9]
list_summation
list_summation:right-to-left
7, 8, 0, 9
0+9=9 ; 8+9=17 ; 7+17=24
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(4,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
list_summation
list_summation:pairwise
7, 1, 8, 9
7+1=8 ; 8+9=17 ; 8+17=25
base_conversion
base_conversion:repeated-division
n=42,base=4
DIV:42/4=10,r:2 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:222
base_conversion
base_conversion:via-binary
n=135,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10000111
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,5)
D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
157+176
p100:100+100=200 ; p10:50+70=120 ; p1:7+6=13 ; sum=200+120+13=333
linear_equation_solving
linear_equation_solving:inverse-ops
2x-6=-8
2x-6=-8 ; x=(-8--6)/2 ; x=-2/2 ; x=-1
base_conversion
base_conversion:repeated-division
n=222,base=8
DIV:222/8=27,r:6 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:336
base_conversion
base_conversion:decomposition
n=106,base=16
TERM:6*16^1=96 ; TERM:10*16^0=10 ; OUT:6A
list_summation
list_summation:right-to-left
6, 6, 5, 5
5+5=10 ; 6+10=16 ; 6+16=22
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,3)
R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+8=0
4x+8=0 ; 4x=-8 ; x=-2
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-45=-9
9x-45=-9 ; 9x=36 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(5,4)
D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 0, 7, 1, 6
[0,8,7,1,6] ; [0,7,8,1,6] ; [0,7,1,8,6] ; [0,7,1,6,8] ; [0,1,7,6,8] ; [0,1,6,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(5,2)
D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2)
sorting_algorithms
sorting_algorithms:merge-sort
9, 4, 8, 2, 3
[4,9,8,2,3] ; [4,9,2,8,3] ; [2,4,8,9,3] ; [2,3,4,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+27=9
3x+27=9 ; x=(9-27)/3 ; x=-18/3 ; x=-6
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+48=-16
8x+48=-16 ; 8x=-64 ; x=-8
list_summation
list_summation:left-to-right
5, 3, 4, 2
5+3=8 ; 8+4=12 ; 12+2=14
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; D:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
175+782
round:180+782=962 ; adjust:962-5=957 ; sum=957
base_conversion
base_conversion:via-binary
n=154,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10011010
multidigit_addition
multidigit_addition:left-to-right-partials
769+924
p100:700+900=1600 ; p10:60+20=80 ; p1:9+4=13 ; sum=1600+80+13=1693
sorting_algorithms
sorting_algorithms:merge-sort
7, 6, 1, 9, 3
[6,7,1,9,3] ; [1,6,7,9,3] ; [1,3,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-49=-91
7x-49=-91 ; x+-7=-13 ; x=-13--7 ; x=-6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:left-to-right-partials
741+581
p100:700+500=1200 ; p10:40+80=120 ; p1:1+1=2 ; sum=1200+120+2=1322
list_summation
list_summation:right-to-left
4, 1, 1, 5
1+5=6 ; 1+6=7 ; 4+7=11
list_summation
list_summation:pairwise
2, 0, 9, 1
2+0=2 ; 9+1=10 ; 2+10=12
list_summation
list_summation:left-to-right
0, 3, 6, 3
0+3=3 ; 3+6=9 ; 9+3=12
multidigit_addition
multidigit_addition:right-to-left-carry
977+466
d2:7+6+0=13→w3,c1 ; d1:7+6+1=14→w4,c1 ; d0:9+4+1=14→w4,c1 ; sum=1443
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=-40
8x+16=-40 ; 8x=-56 ; x=-7
sorting_algorithms
sorting_algorithms:heap-sort
2, 9, 4, 0, 7
[9,2,4,0,7] ; [9,7,4,0,2] ; [2,7,4,0,9] ; [7,2,4,0,9] ; [0,2,4,7,9] ; [4,2,0,7,9] ; [0,2,4,7,9] ; [2,0,4,7,9] ; [0,2,4,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-9=-18
9x-9=-18 ; 9x=-9 ; x=-1
base_conversion
base_conversion:decomposition
n=68,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:1010
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(5,4)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
7, 3, 6, 1
7+3=10 ; 6+1=7 ; 10+7=17
list_summation
list_summation:pairwise
3, 5, 9, 4
3+5=8 ; 9+4=13 ; 8+13=21
multidigit_addition
multidigit_addition:rounding-decomposition
301+525
round:310+525=835 ; adjust:835-9=826 ; sum=826
base_conversion
base_conversion:via-binary
n=164,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:4 ; OUT:244
multidigit_addition
multidigit_addition:left-to-right-partials
294+765
p100:200+700=900 ; p10:90+60=150 ; p1:4+5=9 ; sum=900+150+9=1059
linear_equation_solving
linear_equation_solving:inverse-ops
9x-63=-72
9x-63=-72 ; x=(-72--63)/9 ; x=-9/9 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(2,4)
D:(1,3) ; D:(2,3) ; R:(2,4)
list_summation
list_summation:pairwise
6, 2, 5, 2
6+2=8 ; 5+2=7 ; 8+7=15
multidigit_addition
multidigit_addition:rounding-decomposition
672+491
round:680+491=1171 ; adjust:1171-8=1163 ; sum=1163
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,1)
D:(5,0) ; R:(5,1)
multidigit_addition
multidigit_addition:rounding-decomposition
294+169
round:300+169=469 ; adjust:469-6=463 ; sum=463
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+32=-4
4x+32=-4 ; x+8=-1 ; x=-1-8 ; x=-9
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)
base_conversion
base_conversion:decomposition
n=252,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3330
linear_equation_solving
linear_equation_solving:inverse-ops
4x+20=28
4x+20=28 ; x=(28-20)/4 ; x=8/4 ; x=2
sorting_algorithms
sorting_algorithms:bubble-sort
9, 4, 2, 6, 8
[4,9,2,6,8] ; [4,2,9,6,8] ; [4,2,6,9,8] ; [4,2,6,8,9] ; [2,4,6,8,9]
list_summation
list_summation:left-to-right
0, 9, 8, 7
0+9=9 ; 9+8=17 ; 17+7=24
multidigit_addition
multidigit_addition:right-to-left-carry
831+233
d2:1+3+0=4→w4,c0 ; d1:3+3+0=6→w6,c0 ; d0:8+2+0=10→w0,c1 ; sum=1064
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(4,5)
R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:left-to-right-partials
703+511
p100:700+500=1200 ; p10:0+10=10 ; p1:3+1=4 ; sum=1200+10+4=1214
base_conversion
base_conversion:decomposition
n=52,base=16
TERM:3*16^1=48 ; TERM:4*16^0=4 ; OUT:34
sorting_algorithms
sorting_algorithms:bubble-sort
4, 6, 8, 3, 9
[4,6,3,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9]
base_conversion
base_conversion:via-binary
n=28,base=8
BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:4 ; OUT:34
sorting_algorithms
sorting_algorithms:insertion-sort
1, 9, 3, 5, 4
[1,9,3,5,4] ; [1,3,9,5,4] ; [1,3,5,9,4] ; [1,3,4,5,9]
base_conversion
base_conversion:repeated-division
n=100,base=4
DIV:100/4=25,r:0 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1210
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(5,5)
D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=208,base=16
TERM:13*16^1=208 ; TERM:0*16^0=0 ; OUT:D0
multidigit_addition
multidigit_addition:right-to-left-carry
474+855
d2:4+5+0=9→w9,c0 ; d1:7+5+0=12→w2,c1 ; d0:4+8+1=13→w3,c1 ; sum=1329
sorting_algorithms
sorting_algorithms:merge-sort
5, 1, 4, 7, 2
[1,5,4,7,2] ; [1,4,5,7,2] ; [1,2,4,5,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-6=24
6x-6=24 ; x+-1=4 ; x=4--1 ; x=5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
1, 8, 3, 3
1+8=9 ; 9+3=12 ; 12+3=15
list_summation
list_summation:left-to-right
8, 0, 9, 1
8+0=8 ; 8+9=17 ; 17+1=18
list_summation
list_summation:left-to-right
0, 5, 2, 9
0+5=5 ; 5+2=7 ; 7+9=16
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
271+999
round:280+999=1279 ; adjust:1279-9=1270 ; sum=1270
multidigit_addition
multidigit_addition:right-to-left-carry
720+244
d2:0+4+0=4→w4,c0 ; d1:2+4+0=6→w6,c0 ; d0:7+2+0=9→w9,c0 ; sum=964
multidigit_addition
multidigit_addition:rounding-decomposition
914+591
round:920+591=1511 ; adjust:1511-6=1505 ; sum=1505
multidigit_addition
multidigit_addition:rounding-decomposition
180+803
round:180+803=983 ; adjust:983-0=983 ; sum=983
base_conversion
base_conversion:repeated-division
n=126,base=4
DIV:126/4=31,r:2 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1332
list_summation
list_summation:right-to-left
9, 1, 5, 6
5+6=11 ; 1+11=12 ; 9+12=21
base_conversion
base_conversion:repeated-division
n=30,base=2
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:11110
sorting_algorithms
sorting_algorithms:insertion-sort
5, 1, 9, 6, 3
[1,5,9,6,3] ; [1,5,9,6,3] ; [1,5,6,9,3] ; [1,3,5,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,3)
D:(1,2) ; R:(1,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,4)
D:(4,3) ; R:(4,4)