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:selection-sort
1, 6, 5, 0, 9
[0,6,5,1,9] ; [0,1,5,6,9] ; [0,1,5,6,9] ; [0,1,5,6,9]
list_summation
list_summation:pairwise
6, 4, 4, 7
6+4=10 ; 4+7=11 ; 10+11=21
list_summation
list_summation:left-to-right
5, 7, 5, 1
5+7=12 ; 12+5=17 ; 17+1=18
multidigit_addition
multidigit_addition:left-to-right-partials
322+435
p100:300+400=700 ; p10:20+30=50 ; p1:2+5=7 ; sum=700+50+7=757
sorting_algorithms
sorting_algorithms:selection-sort
8, 7, 5, 6, 4
[4,7,5,6,8] ; [4,5,7,6,8] ; [4,5,6,7,8] ; [4,5,6,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(2,3)
D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3)
list_summation
list_summation:pairwise
6, 2, 5, 6
6+2=8 ; 5+6=11 ; 8+11=19
base_conversion
base_conversion:via-binary
n=133,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10000101
multidigit_addition
multidigit_addition:rounding-decomposition
849+711
round:850+711=1561 ; adjust:1561-1=1560 ; sum=1560
list_summation
list_summation:right-to-left
2, 8, 3, 3
3+3=6 ; 8+6=14 ; 2+14=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(4,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
sorting_algorithms
sorting_algorithms:insertion-sort
8, 7, 6, 0, 1
[7,8,6,0,1] ; [6,7,8,0,1] ; [0,6,7,8,1] ; [0,1,6,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
207+123
p100:200+100=300 ; p10:0+20=20 ; p1:7+3=10 ; sum=300+20+10=330
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(3,3)
R:(1,3) ; D:(2,3) ; D:(3,3)
multidigit_addition
multidigit_addition:left-to-right-partials
317+444
p100:300+400=700 ; p10:10+40=50 ; p1:7+4=11 ; sum=700+50+11=761
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(2,3)
R:(0,3) ; D:(1,3) ; D:(2,3)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+0=-45
5x+0=-45 ; x=(-45-0)/5 ; x=-45/5 ; x=-9
multidigit_addition
multidigit_addition:rounding-decomposition
710+646
round:710+646=1356 ; adjust:1356-0=1356 ; sum=1356
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+72=81
9x+72=81 ; 9x=9 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
862+522
round:870+522=1392 ; adjust:1392-8=1384 ; sum=1384
base_conversion
base_conversion:via-binary
n=171,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10101011
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,2)
R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:left-to-right
3, 2, 9, 9
3+2=5 ; 5+9=14 ; 14+9=23
list_summation
list_summation:right-to-left
9, 7, 1, 7
1+7=8 ; 7+8=15 ; 9+15=24
multidigit_addition
multidigit_addition:right-to-left-carry
271+486
d2:1+6+0=7→w7,c0 ; d1:7+8+0=15→w5,c1 ; d0:2+4+1=7→w7,c0 ; sum=757
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+24=9
3x+24=9 ; 3x=-15 ; x=-5
list_summation
list_summation:left-to-right
6, 0, 0, 9
6+0=6 ; 6+0=6 ; 6+9=15
sorting_algorithms
sorting_algorithms:merge-sort
6, 0, 3, 7, 1
[0,6,3,7,1] ; [0,3,6,7,1] ; [0,1,3,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
800+435
d2:0+5+0=5→w5,c0 ; d1:0+3+0=3→w3,c0 ; d0:8+4+0=12→w2,c1 ; sum=1235
linear_equation_solving
linear_equation_solving:inverse-ops
5x+25=15
5x+25=15 ; x=(15-25)/5 ; x=-10/5 ; x=-2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(2,3)
R:(0,3) ; D:(1,3) ; D:(2,3)
sorting_algorithms
sorting_algorithms:bubble-sort
0, 9, 3, 8, 2
[0,3,9,8,2] ; [0,3,8,9,2] ; [0,3,8,2,9] ; [0,3,2,8,9] ; [0,2,3,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 9, 8, 3, 7
[0,9,8,3,7] ; [0,8,9,3,7] ; [0,3,8,9,7] ; [0,3,7,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
1, 2, 9, 0, 8
[1,2,0,9,8] ; [0,1,2,9,8] ; [0,1,2,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
4, 0, 3, 8, 5
[4,8,3,0,5] ; [8,4,3,0,5] ; [8,5,3,0,4] ; [4,5,3,0,8] ; [5,4,3,0,8] ; [0,4,3,5,8] ; [4,0,3,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8]
multidigit_addition
multidigit_addition:left-to-right-partials
899+549
p100:800+500=1300 ; p10:90+40=130 ; p1:9+9=18 ; sum=1300+130+18=1448
sorting_algorithms
sorting_algorithms:merge-sort
9, 7, 1, 2, 8
[7,9,1,2,8] ; [1,2,7,9,8] ; [1,2,7,8,9]
list_summation
list_summation:right-to-left
9, 4, 2, 5
2+5=7 ; 4+7=11 ; 9+11=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+10=-20
5x+10=-20 ; 5x=-30 ; x=-6
multidigit_addition
multidigit_addition:rounding-decomposition
527+468
round:530+468=998 ; adjust:998-3=995 ; sum=995
base_conversion
base_conversion:repeated-division
n=38,base=16
DIV:38/16=2,r:6 ; DIV:2/16=0,r:2 ; OUT:26
list_summation
list_summation:left-to-right
8, 6, 9, 4
8+6=14 ; 14+9=23 ; 23+4=27
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(3,2)
R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-21=6
3x-21=6 ; 3x=27 ; x=9
sorting_algorithms
sorting_algorithms:merge-sort
6, 0, 8, 9, 1
[0,6,8,9,1] ; [0,1,6,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-27=-9
3x-27=-9 ; 3x=18 ; x=6
list_summation
list_summation:pairwise
7, 2, 4, 6
7+2=9 ; 4+6=10 ; 9+10=19
base_conversion
base_conversion:decomposition
n=109,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1101101
list_summation
list_summation:right-to-left
8, 9, 8, 8
8+8=16 ; 9+16=25 ; 8+25=33
base_conversion
base_conversion:repeated-division
n=32,base=8
DIV:32/8=4,r:0 ; DIV:4/8=0,r:4 ; OUT:40
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+15=60
5x+15=60 ; x+3=12 ; x=12-3 ; x=9
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)
base_conversion
base_conversion:repeated-division
n=97,base=16
DIV:97/16=6,r:1 ; DIV:6/16=0,r:6 ; OUT:61
sorting_algorithms
sorting_algorithms:bubble-sort
2, 6, 7, 0, 5
[2,6,0,7,5] ; [2,6,0,5,7] ; [2,0,6,5,7] ; [2,0,5,6,7] ; [0,2,5,6,7]
sorting_algorithms
sorting_algorithms:insertion-sort
5, 3, 4, 0, 2
[3,5,4,0,2] ; [3,4,5,0,2] ; [0,3,4,5,2] ; [0,2,3,4,5]
base_conversion
base_conversion:via-binary
n=61,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:331
multidigit_addition
multidigit_addition:left-to-right-partials
854+955
p100:800+900=1700 ; p10:50+50=100 ; p1:4+5=9 ; sum=1700+100+9=1809
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,4)
R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
386+718
round:390+718=1108 ; adjust:1108-4=1104 ; sum=1104
sorting_algorithms
sorting_algorithms:heap-sort
9, 1, 7, 5, 4
[9,5,7,1,4] ; [4,5,7,1,9] ; [7,5,4,1,9] ; [1,5,4,7,9] ; [5,1,4,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 5, 9, 2, 7
[0,5,9,2,7] ; [0,5,9,2,7] ; [0,2,5,9,7] ; [0,2,5,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 6, 4, 0, 3
[5,4,6,0,3] ; [5,4,0,6,3] ; [5,4,0,3,6] ; [4,5,0,3,6] ; [4,0,5,3,6] ; [4,0,3,5,6] ; [0,4,3,5,6] ; [0,3,4,5,6]
list_summation
list_summation:pairwise
0, 7, 3, 1
0+7=7 ; 3+1=4 ; 7+4=11
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
649+597
round:650+597=1247 ; adjust:1247-1=1246 ; sum=1246
list_summation
list_summation:left-to-right
7, 3, 3, 3
7+3=10 ; 10+3=13 ; 13+3=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+36=60
6x+36=60 ; 6x=24 ; x=4
sorting_algorithms
sorting_algorithms:insertion-sort
5, 9, 0, 6, 4
[5,9,0,6,4] ; [0,5,9,6,4] ; [0,5,6,9,4] ; [0,4,5,6,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-64=-8
8x-64=-8 ; 8x=56 ; x=7
list_summation
list_summation:pairwise
8, 4, 6, 5
8+4=12 ; 6+5=11 ; 12+11=23
multidigit_addition
multidigit_addition:left-to-right-partials
523+986
p100:500+900=1400 ; p10:20+80=100 ; p1:3+6=9 ; sum=1400+100+9=1509
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,5)
D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:pairwise
9, 2, 5, 6
9+2=11 ; 5+6=11 ; 11+11=22
list_summation
list_summation:pairwise
8, 4, 5, 4
8+4=12 ; 5+4=9 ; 12+9=21
sorting_algorithms
sorting_algorithms:bubble-sort
0, 6, 9, 8, 7
[0,6,8,9,7] ; [0,6,8,7,9] ; [0,6,7,8,9]
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-12=-36
3x-12=-36 ; 3x=-24 ; x=-8
list_summation
list_summation:right-to-left
0, 8, 7, 9
7+9=16 ; 8+16=24 ; 0+24=24
multidigit_addition
multidigit_addition:right-to-left-carry
520+837
d2:0+7+0=7→w7,c0 ; d1:2+3+0=5→w5,c0 ; d0:5+8+0=13→w3,c1 ; sum=1357
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(4,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 2, 6, 5, 7
[2,8,6,5,7] ; [2,6,8,5,7] ; [2,6,5,8,7] ; [2,6,5,7,8] ; [2,5,6,7,8]
base_conversion
base_conversion:via-binary
n=179,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10110011
base_conversion
base_conversion:via-binary
n=130,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:2 ; OUT:82
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(5,4)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=106,base=2
DIV:106/2=53,r:0 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101010
list_summation
list_summation:pairwise
6, 7, 4, 1
6+7=13 ; 4+1=5 ; 13+5=18
sorting_algorithms
sorting_algorithms:heap-sort
6, 1, 2, 8, 7
[6,8,2,1,7] ; [8,6,2,1,7] ; [8,7,2,1,6] ; [6,7,2,1,8] ; [7,6,2,1,8] ; [1,6,2,7,8] ; [6,1,2,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,3)
D:(3,2) ; R:(3,3)
base_conversion
base_conversion:decomposition
n=200,base=4
TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3020
sorting_algorithms
sorting_algorithms:selection-sort
5, 1, 9, 8, 2
[1,5,9,8,2] ; [1,2,9,8,5] ; [1,2,5,8,9] ; [1,2,5,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
3, 6, 8, 9, 4
[3,6,8,4,9] ; [3,6,4,8,9] ; [3,4,6,8,9]
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
2x-2=4
2x-2=4 ; x=(4--2)/2 ; x=6/2 ; x=3
linear_equation_solving
linear_equation_solving:inverse-ops
8x-72=-40
8x-72=-40 ; x=(-40--72)/8 ; x=32/8 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
161+838
p100:100+800=900 ; p10:60+30=90 ; p1:1+8=9 ; sum=900+90+9=999
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(5,5)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)