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:via-binary
n=148,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2110
sorting_algorithms
sorting_algorithms:heap-sort
7, 0, 5, 9, 6
[7,9,5,0,6] ; [9,7,5,0,6] ; [6,7,5,0,9] ; [7,6,5,0,9] ; [0,6,5,7,9] ; [6,0,5,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9]
linear_equation_solving
linear_equation_solving:inverse-ops
8x+64=56
8x+64=56 ; x=(56-64)/8 ; x=-8/8 ; x=-1
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5)
list_summation
list_summation:pairwise
1, 1, 8, 8
1+1=2 ; 8+8=16 ; 2+16=18
list_summation
list_summation:right-to-left
6, 2, 9, 5
9+5=14 ; 2+14=16 ; 6+16=22
multidigit_addition
multidigit_addition:rounding-decomposition
932+796
round:940+796=1736 ; adjust:1736-8=1728 ; sum=1728
multidigit_addition
multidigit_addition:right-to-left-carry
814+433
d2:4+3+0=7→w7,c0 ; d1:1+3+0=4→w4,c0 ; d0:8+4+0=12→w2,c1 ; sum=1247
multidigit_addition
multidigit_addition:left-to-right-partials
221+100
p100:200+100=300 ; p10:20+0=20 ; p1:1+0=1 ; sum=300+20+1=321
base_conversion
base_conversion:repeated-division
n=8,base=16
DIV:8/16=0,r:8 ; OUT:8
multidigit_addition
multidigit_addition:right-to-left-carry
178+646
d2:8+6+0=14→w4,c1 ; d1:7+4+1=12→w2,c1 ; d0:1+6+1=8→w8,c0 ; sum=824
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+48=54
6x+48=54 ; x+8=9 ; x=9-8 ; x=1
linear_equation_solving
linear_equation_solving:inverse-ops
4x-16=-32
4x-16=-32 ; x=(-32--16)/4 ; x=-16/4 ; x=-4
list_summation
list_summation:left-to-right
8, 5, 8, 1
8+5=13 ; 13+8=21 ; 21+1=22
list_summation
list_summation:pairwise
5, 8, 6, 2
5+8=13 ; 6+2=8 ; 13+8=21
base_conversion
base_conversion:repeated-division
n=126,base=8
DIV:126/8=15,r:6 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:176
base_conversion
base_conversion:decomposition
n=188,base=8
TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:274
multidigit_addition
multidigit_addition:left-to-right-partials
122+838
p100:100+800=900 ; p10:20+30=50 ; p1:2+8=10 ; sum=900+50+10=960
base_conversion
base_conversion:via-binary
n=197,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3011
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
list_summation
list_summation:right-to-left
7, 3, 4, 6
4+6=10 ; 3+10=13 ; 7+13=20
multidigit_addition
multidigit_addition:right-to-left-carry
566+156
d2:6+6+0=12→w2,c1 ; d1:6+5+1=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=722
base_conversion
base_conversion:via-binary
n=132,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2010
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
269+665
d2:9+5+0=14→w4,c1 ; d1:6+6+1=13→w3,c1 ; d0:2+6+1=9→w9,c0 ; sum=934
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+28=14
7x+28=14 ; x+4=2 ; x=2-4 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
277+233
d2:7+3+0=10→w0,c1 ; d1:7+3+1=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=510
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-21=3
3x-21=3 ; 3x=24 ; x=8
base_conversion
base_conversion:via-binary
n=176,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:260
base_conversion
base_conversion:decomposition
n=47,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:101111
sorting_algorithms
sorting_algorithms:heap-sort
8, 2, 5, 6, 0
[8,6,5,2,0] ; [0,6,5,2,8] ; [6,0,5,2,8] ; [6,2,5,0,8] ; [0,2,5,6,8] ; [5,2,0,6,8] ; [0,2,5,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8]
sorting_algorithms
sorting_algorithms:insertion-sort
5, 1, 2, 7, 4
[1,5,2,7,4] ; [1,2,5,7,4] ; [1,2,5,7,4] ; [1,2,4,5,7]
sorting_algorithms
sorting_algorithms:insertion-sort
1, 2, 7, 3, 9
[1,2,7,3,9] ; [1,2,7,3,9] ; [1,2,3,7,9] ; [1,2,3,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+63=56
7x+63=56 ; x+9=8 ; x=8-9 ; x=-1
base_conversion
base_conversion:decomposition
n=231,base=8
TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:347
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)
multidigit_addition
multidigit_addition:right-to-left-carry
588+126
d2:8+6+0=14→w4,c1 ; d1:8+2+1=11→w1,c1 ; d0:5+1+1=7→w7,c0 ; sum=714
multidigit_addition
multidigit_addition:rounding-decomposition
518+705
round:520+705=1225 ; adjust:1225-2=1223 ; sum=1223
linear_equation_solving
linear_equation_solving:inverse-ops
9x+72=144
9x+72=144 ; x=(144-72)/9 ; x=72/9 ; x=8
linear_equation_solving
linear_equation_solving:inverse-ops
6x+48=-6
6x+48=-6 ; x=(-6-48)/6 ; x=-54/6 ; x=-9
base_conversion
base_conversion:decomposition
n=64,base=2
TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000000
multidigit_addition
multidigit_addition:right-to-left-carry
977+989
d2:7+9+0=16→w6,c1 ; d1:7+8+1=16→w6,c1 ; d0:9+9+1=19→w9,c1 ; sum=1966
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)
base_conversion
base_conversion:decomposition
n=133,base=16
TERM:8*16^1=128 ; TERM:5*16^0=5 ; OUT:85
sorting_algorithms
sorting_algorithms:merge-sort
1, 4, 6, 2, 3
[1,4,2,6,3] ; [1,2,4,6,3] ; [1,2,3,4,6]
sorting_algorithms
sorting_algorithms:selection-sort
5, 9, 6, 0, 4
[0,9,6,5,4] ; [0,4,6,5,9] ; [0,4,5,6,9] ; [0,4,5,6,9]
sorting_algorithms
sorting_algorithms:bubble-sort
8, 7, 5, 1, 2
[7,8,5,1,2] ; [7,5,8,1,2] ; [7,5,1,8,2] ; [7,5,1,2,8] ; [5,7,1,2,8] ; [5,1,7,2,8] ; [5,1,2,7,8] ; [1,5,2,7,8] ; [1,2,5,7,8]
base_conversion
base_conversion:decomposition
n=177,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10110001
sorting_algorithms
sorting_algorithms:selection-sort
1, 9, 8, 3, 0
[0,9,8,3,1] ; [0,1,8,3,9] ; [0,1,3,8,9] ; [0,1,3,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(2,1)
R:(0,1) ; D:(1,1) ; D:(2,1)
list_summation
list_summation:right-to-left
7, 1, 5, 4
5+4=9 ; 1+9=10 ; 7+10=17
base_conversion
base_conversion:repeated-division
n=222,base=2
DIV:222/2=111,r:0 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; 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:11011110
list_summation
list_summation:left-to-right
3, 1, 7, 0
3+1=4 ; 4+7=11 ; 11+0=11
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=90
9x+45=90 ; x+5=10 ; x=10-5 ; x=5
base_conversion
base_conversion:decomposition
n=191,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111111
linear_equation_solving
linear_equation_solving:inverse-ops
9x-9=63
9x-9=63 ; x=(63--9)/9 ; x=72/9 ; x=8
base_conversion
base_conversion:repeated-division
n=208,base=8
DIV:208/8=26,r:0 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:320
multidigit_addition
multidigit_addition:left-to-right-partials
286+977
p100:200+900=1100 ; p10:80+70=150 ; p1:6+7=13 ; sum=1100+150+13=1263
base_conversion
base_conversion:via-binary
n=30,base=2
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11110
base_conversion
base_conversion:decomposition
n=213,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11010101
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
list_summation
list_summation:pairwise
8, 9, 0, 5
8+9=17 ; 0+5=5 ; 17+5=22
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+56=64
8x+56=64 ; 8x=8 ; x=1
base_conversion
base_conversion:decomposition
n=38,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100110
sorting_algorithms
sorting_algorithms:heap-sort
1, 8, 6, 4, 5
[8,1,6,4,5] ; [8,5,6,4,1] ; [1,5,6,4,8] ; [6,5,1,4,8] ; [4,5,1,6,8] ; [5,4,1,6,8] ; [1,4,5,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8]
multidigit_addition
multidigit_addition:rounding-decomposition
856+581
round:860+581=1441 ; adjust:1441-4=1437 ; sum=1437
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(1,4)
D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4)
sorting_algorithms
sorting_algorithms:insertion-sort
3, 2, 1, 8, 5
[2,3,1,8,5] ; [1,2,3,8,5] ; [1,2,3,8,5] ; [1,2,3,5,8]
multidigit_addition
multidigit_addition:right-to-left-carry
649+314
d2:9+4+0=13→w3,c1 ; d1:4+1+1=6→w6,c0 ; d0:6+3+0=9→w9,c0 ; sum=963
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 9, 1, 8
[4,6,9,1,8] ; [4,6,9,1,8] ; [1,4,6,9,8] ; [1,4,6,8,9]
base_conversion
base_conversion:via-binary
n=148,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:4 ; OUT:94
multidigit_addition
multidigit_addition:left-to-right-partials
909+493
p100:900+400=1300 ; p10:0+90=90 ; p1:9+3=12 ; sum=1300+90+12=1402
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
list_summation
list_summation:left-to-right
1, 2, 3, 1
1+2=3 ; 3+3=6 ; 6+1=7
base_conversion
base_conversion:decomposition
n=58,base=16
TERM:3*16^1=48 ; TERM:10*16^0=10 ; OUT:3A
multidigit_addition
multidigit_addition:left-to-right-partials
625+520
p100:600+500=1100 ; p10:20+20=40 ; p1:5+0=5 ; sum=1100+40+5=1145
sorting_algorithms
sorting_algorithms:selection-sort
1, 3, 9, 4, 5
[1,3,9,4,5] ; [1,3,9,4,5] ; [1,3,4,9,5] ; [1,3,4,5,9]
multidigit_addition
multidigit_addition:right-to-left-carry
290+523
d2:0+3+0=3→w3,c0 ; d1:9+2+0=11→w1,c1 ; d0:2+5+1=8→w8,c0 ; sum=813
multidigit_addition
multidigit_addition:rounding-decomposition
483+817
round:490+817=1307 ; adjust:1307-7=1300 ; sum=1300
list_summation
list_summation:left-to-right
9, 5, 3, 7
9+5=14 ; 14+3=17 ; 17+7=24
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
base_conversion
base_conversion:repeated-division
n=136,base=8
DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210
list_summation
list_summation:pairwise
4, 4, 2, 5
4+4=8 ; 2+5=7 ; 8+7=15
multidigit_addition
multidigit_addition:right-to-left-carry
987+867
d2:7+7+0=14→w4,c1 ; d1:8+6+1=15→w5,c1 ; d0:9+8+1=18→w8,c1 ; sum=1854
multidigit_addition
multidigit_addition:right-to-left-carry
679+881
d2:9+1+0=10→w0,c1 ; d1:7+8+1=16→w6,c1 ; d0:6+8+1=15→w5,c1 ; sum=1560
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-49=-84
7x-49=-84 ; x+-7=-12 ; x=-12--7 ; x=-5
grid_pathfinding
grid_pathfinding:alternating
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)
list_summation
list_summation:pairwise
8, 9, 1, 4
8+9=17 ; 1+4=5 ; 17+5=22
sorting_algorithms
sorting_algorithms:insertion-sort
3, 9, 8, 1, 6
[3,9,8,1,6] ; [3,8,9,1,6] ; [1,3,8,9,6] ; [1,3,6,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-18=-36
9x-18=-36 ; x+-2=-4 ; x=-4--2 ; x=-2
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=71,base=16
TERM:4*16^1=64 ; TERM:7*16^0=7 ; OUT:47
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,3)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3)
base_conversion
base_conversion:decomposition
n=59,base=8
TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:73
list_summation
list_summation:pairwise
5, 3, 3, 8
5+3=8 ; 3+8=11 ; 8+11=19
multidigit_addition
multidigit_addition:left-to-right-partials
820+253
p100:800+200=1000 ; p10:20+50=70 ; p1:0+3=3 ; sum=1000+70+3=1073
list_summation
list_summation:left-to-right
6, 9, 2, 4
6+9=15 ; 15+2=17 ; 17+4=21
base_conversion
base_conversion:decomposition
n=206,base=4
TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:3032
sorting_algorithms
sorting_algorithms:selection-sort
0, 3, 4, 8, 6
[0,3,4,8,6] ; [0,3,4,8,6] ; [0,3,4,8,6] ; [0,3,4,6,8]