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
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 9, 0, 8
[4,6,9,0,8] ; [4,6,9,0,8] ; [0,4,6,9,8] ; [0,4,6,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(4,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-24=-30
6x-24=-30 ; x=(-30--24)/6 ; x=-6/6 ; x=-1
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-10=-28
2x-10=-28 ; x+-5=-14 ; x=-14--5 ; x=-9
list_summation
list_summation:right-to-left
5, 6, 9, 3
9+3=12 ; 6+12=18 ; 5+18=23
multidigit_addition
multidigit_addition:rounding-decomposition
543+792
round:550+792=1342 ; adjust:1342-7=1335 ; sum=1335
base_conversion
base_conversion:via-binary
n=59,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:323
multidigit_addition
multidigit_addition:right-to-left-carry
522+688
d2:2+8+0=10→w0,c1 ; d1:2+8+1=11→w1,c1 ; d0:5+6+1=12→w2,c1 ; sum=1210
multidigit_addition
multidigit_addition:right-to-left-carry
577+930
d2:7+0+0=7→w7,c0 ; d1:7+3+0=10→w0,c1 ; d0:5+9+1=15→w5,c1 ; sum=1507
base_conversion
base_conversion:via-binary
n=123,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:1323
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-18=30
6x-18=30 ; 6x=48 ; x=8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(4,5)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(5,5)
R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
9, 8, 2, 7, 5
[8,9,2,7,5] ; [8,2,9,7,5] ; [8,2,7,9,5] ; [8,2,7,5,9] ; [2,8,7,5,9] ; [2,7,8,5,9] ; [2,7,5,8,9] ; [2,5,7,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-18=-18
3x-18=-18 ; 3x=0 ; x=0
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,2)
R:(3,2) ; D:(4,2)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(4,1)
R:(2,1) ; D:(3,1) ; D:(4,1)
base_conversion
base_conversion:repeated-division
n=102,base=16
DIV:102/16=6,r:6 ; DIV:6/16=0,r:6 ; OUT:66
linear_equation_solving
linear_equation_solving:inverse-ops
8x+64=56
8x+64=56 ; x=(56-64)/8 ; x=-8/8 ; x=-1
sorting_algorithms
sorting_algorithms:bubble-sort
8, 2, 0, 5, 4
[2,8,0,5,4] ; [2,0,8,5,4] ; [2,0,5,8,4] ; [2,0,5,4,8] ; [0,2,5,4,8] ; [0,2,4,5,8]
list_summation
list_summation:right-to-left
1, 3, 8, 7
8+7=15 ; 3+15=18 ; 1+18=19
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
7, 9, 6, 8, 2
[6,7,8,9,2] ; [2,6,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
2x+18=16
2x+18=16 ; x=(16-18)/2 ; x=-2/2 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=9
3x+12=9 ; x=(9-12)/3 ; x=-3/3 ; x=-1
list_summation
list_summation:right-to-left
3, 5, 8, 3
8+3=11 ; 5+11=16 ; 3+16=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
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)
multidigit_addition
multidigit_addition:right-to-left-carry
574+189
d2:4+9+0=13→w3,c1 ; d1:7+8+1=16→w6,c1 ; d0:5+1+1=7→w7,c0 ; sum=763
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:pairwise
3, 9, 0, 9
3+9=12 ; 0+9=9 ; 12+9=21
multidigit_addition
multidigit_addition:left-to-right-partials
889+468
p100:800+400=1200 ; p10:80+60=140 ; p1:9+8=17 ; sum=1200+140+17=1357
linear_equation_solving
linear_equation_solving:inverse-ops
3x+3=-3
3x+3=-3 ; x=(-3-3)/3 ; x=-6/3 ; x=-2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
base_conversion
base_conversion:via-binary
n=194,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3002
multidigit_addition
multidigit_addition:right-to-left-carry
676+415
d2:6+5+0=11→w1,c1 ; d1:7+1+1=9→w9,c0 ; d0:6+4+0=10→w0,c1 ; sum=1091
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,1)
D:(5,0) ; R:(5,1)
base_conversion
base_conversion:repeated-division
n=101,base=2
DIV:101/2=50,r:1 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100101
list_summation
list_summation:left-to-right
6, 7, 7, 5
6+7=13 ; 13+7=20 ; 20+5=25
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
multidigit_addition
multidigit_addition:left-to-right-partials
817+103
p100:800+100=900 ; p10:10+0=10 ; p1:7+3=10 ; sum=900+10+10=920
list_summation
list_summation:right-to-left
0, 5, 0, 0
0+0=0 ; 5+0=5 ; 0+5=5
list_summation
list_summation:right-to-left
0, 8, 6, 6
6+6=12 ; 8+12=20 ; 0+20=20
multidigit_addition
multidigit_addition:left-to-right-partials
427+354
p100:400+300=700 ; p10:20+50=70 ; p1:7+4=11 ; sum=700+70+11=781
base_conversion
base_conversion:via-binary
n=81,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:121
list_summation
list_summation:right-to-left
3, 6, 8, 7
8+7=15 ; 6+15=21 ; 3+21=24
list_summation
list_summation:pairwise
6, 0, 3, 6
6+0=6 ; 3+6=9 ; 6+9=15
sorting_algorithms
sorting_algorithms:merge-sort
4, 8, 2, 9, 7
[2,4,8,9,7] ; [2,4,7,8,9]
base_conversion
base_conversion:decomposition
n=183,base=4
TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2313
sorting_algorithms
sorting_algorithms:insertion-sort
2, 4, 1, 5, 3
[2,4,1,5,3] ; [1,2,4,5,3] ; [1,2,4,5,3] ; [1,2,3,4,5]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+21=-21
7x+21=-21 ; x+3=-3 ; x=-3-3 ; x=-6
multidigit_addition
multidigit_addition:left-to-right-partials
801+702
p100:800+700=1500 ; p10:0+0=0 ; p1:1+2=3 ; sum=1500+0+3=1503
sorting_algorithms
sorting_algorithms:bubble-sort
1, 5, 8, 9, 7
[1,5,8,7,9] ; [1,5,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,5)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 8, 2, 7, 0
[4,8,2,7,0] ; [2,4,8,7,0] ; [2,4,7,8,0] ; [0,2,4,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+12=42
6x+12=42 ; x=(42-12)/6 ; x=30/6 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
523+633
d2:3+3+0=6→w6,c0 ; d1:2+3+0=5→w5,c0 ; d0:5+6+0=11→w1,c1 ; sum=1156
list_summation
list_summation:left-to-right
8, 2, 3, 4
8+2=10 ; 10+3=13 ; 13+4=17
multidigit_addition
multidigit_addition:left-to-right-partials
213+696
p100:200+600=800 ; p10:10+90=100 ; p1:3+6=9 ; sum=800+100+9=909
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,3)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
440+345
d2:0+5+0=5→w5,c0 ; d1:4+4+0=8→w8,c0 ; d0:4+3+0=7→w7,c0 ; sum=785
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-54
3x-27=-54 ; x+-9=-18 ; x=-18--9 ; x=-9
multidigit_addition
multidigit_addition:rounding-decomposition
167+701
round:170+701=871 ; adjust:871-3=868 ; sum=868
base_conversion
base_conversion:via-binary
n=245,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3311
sorting_algorithms
sorting_algorithms:merge-sort
4, 9, 0, 6, 2
[0,4,6,9,2] ; [0,2,4,6,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:left-to-right-partials
114+731
p100:100+700=800 ; p10:10+30=40 ; p1:4+1=5 ; sum=800+40+5=845
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=81
9x+45=81 ; x+5=9 ; x=9-5 ; x=4
base_conversion
base_conversion:via-binary
n=111,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:157
base_conversion
base_conversion:decomposition
n=216,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11011000
multidigit_addition
multidigit_addition:left-to-right-partials
167+265
p100:100+200=300 ; p10:60+60=120 ; p1:7+5=12 ; sum=300+120+12=432
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(2,4)
D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4)
multidigit_addition
multidigit_addition:rounding-decomposition
712+108
round:720+108=828 ; adjust:828-8=820 ; sum=820
sorting_algorithms
sorting_algorithms:merge-sort
5, 8, 9, 7, 2
[5,8,7,9,2] ; [5,7,8,9,2] ; [2,5,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
4, 7, 6, 9, 3
[4,6,7,9,3] ; [4,6,7,3,9] ; [4,6,3,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9]
list_summation
list_summation:right-to-left
5, 9, 4, 6
4+6=10 ; 9+10=19 ; 5+19=24
linear_equation_solving
linear_equation_solving:inverse-ops
6x-48=-78
6x-48=-78 ; x=(-78--48)/6 ; x=-30/6 ; x=-5
base_conversion
base_conversion:decomposition
n=143,base=4
TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2033
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+40=0
8x+40=0 ; 8x=-40 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
806+669
round:810+669=1479 ; adjust:1479-4=1475 ; sum=1475
linear_equation_solving
linear_equation_solving:inverse-ops
9x+63=9
9x+63=9 ; x=(9-63)/9 ; x=-54/9 ; x=-6
sorting_algorithms
sorting_algorithms:selection-sort
2, 9, 0, 4, 6
[0,9,2,4,6] ; [0,2,9,4,6] ; [0,2,4,9,6] ; [0,2,4,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
776+446
d2:6+6+0=12→w2,c1 ; d1:7+4+1=12→w2,c1 ; d0:7+4+1=12→w2,c1 ; sum=1222
multidigit_addition
multidigit_addition:rounding-decomposition
283+416
round:290+416=706 ; adjust:706-7=699 ; sum=699
list_summation
list_summation:right-to-left
8, 8, 3, 9
3+9=12 ; 8+12=20 ; 8+20=28
base_conversion
base_conversion:repeated-division
n=34,base=4
DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:202
list_summation
list_summation:right-to-left
6, 3, 9, 3
9+3=12 ; 3+12=15 ; 6+15=21
multidigit_addition
multidigit_addition:rounding-decomposition
738+626
round:740+626=1366 ; adjust:1366-2=1364 ; sum=1364
list_summation
list_summation:pairwise
2, 7, 8, 1
2+7=9 ; 8+1=9 ; 9+9=18
multidigit_addition
multidigit_addition:right-to-left-carry
862+703
d2:2+3+0=5→w5,c0 ; d1:6+0+0=6→w6,c0 ; d0:8+7+0=15→w5,c1 ; sum=1565
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)
linear_equation_solving
linear_equation_solving:inverse-ops
5x-15=-45
5x-15=-45 ; x=(-45--15)/5 ; x=-30/5 ; x=-6
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-21=-14
7x-21=-14 ; x+-3=-2 ; x=-2--3 ; x=1
list_summation
list_summation:pairwise
3, 3, 4, 5
3+3=6 ; 4+5=9 ; 6+9=15
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)