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:repeated-division
n=175,base=16
DIV:175/16=10,r:15 ; DIV:10/16=0,r:10 ; OUT:AF
linear_equation_solving
linear_equation_solving:inverse-ops
2x-2=0
2x-2=0 ; x=(0--2)/2 ; x=2/2 ; x=1
multidigit_addition
multidigit_addition:right-to-left-carry
666+293
d2:6+3+0=9→w9,c0 ; d1:6+9+0=15→w5,c1 ; d0:6+2+1=9→w9,c0 ; sum=959
base_conversion
base_conversion:via-binary
n=108,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:4 ; OUT:154
multidigit_addition
multidigit_addition:rounding-decomposition
540+783
round:540+783=1323 ; adjust:1323-0=1323 ; sum=1323
base_conversion
base_conversion:repeated-division
n=241,base=8
DIV:241/8=30,r:1 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:361
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 9, 4, 0
[1,6,4,9,0] ; [1,4,6,9,0] ; [0,1,4,6,9]
sorting_algorithms
sorting_algorithms:merge-sort
1, 0, 9, 7, 5
[0,1,9,7,5] ; [0,1,7,9,5] ; [0,1,5,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+18=9
9x+18=9 ; 9x=-9 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
9x+63=27
9x+63=27 ; x=(27-63)/9 ; x=-36/9 ; x=-4
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+54=117
9x+54=117 ; 9x=63 ; x=7
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+30=72
6x+30=72 ; x+5=12 ; x=12-5 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,3)
D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3)
list_summation
list_summation:pairwise
9, 9, 3, 0
9+9=18 ; 3+0=3 ; 18+3=21
sorting_algorithms
sorting_algorithms:insertion-sort
4, 2, 7, 6, 3
[2,4,7,6,3] ; [2,4,7,6,3] ; [2,4,6,7,3] ; [2,3,4,6,7]
list_summation
list_summation:left-to-right
9, 2, 1, 5
9+2=11 ; 11+1=12 ; 12+5=17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; D:(5,1) ; R:(5,2)
multidigit_addition
multidigit_addition:rounding-decomposition
640+246
round:640+246=886 ; adjust:886-0=886 ; sum=886
base_conversion
base_conversion:repeated-division
n=95,base=2
DIV:95/2=47,r:1 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011111
list_summation
list_summation:left-to-right
0, 7, 9, 0
0+7=7 ; 7+9=16 ; 16+0=16
multidigit_addition
multidigit_addition:right-to-left-carry
971+117
d2:1+7+0=8→w8,c0 ; d1:7+1+0=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1088
multidigit_addition
multidigit_addition:left-to-right-partials
501+703
p100:500+700=1200 ; p10:0+0=0 ; p1:1+3=4 ; sum=1200+0+4=1204
sorting_algorithms
sorting_algorithms:bubble-sort
3, 5, 8, 7, 4
[3,5,7,8,4] ; [3,5,7,4,8] ; [3,5,4,7,8] ; [3,4,5,7,8]
list_summation
list_summation:pairwise
6, 4, 9, 4
6+4=10 ; 9+4=13 ; 10+13=23
base_conversion
base_conversion:via-binary
n=125,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101
multidigit_addition
multidigit_addition:left-to-right-partials
872+731
p100:800+700=1500 ; p10:70+30=100 ; p1:2+1=3 ; sum=1500+100+3=1603
multidigit_addition
multidigit_addition:left-to-right-partials
797+283
p100:700+200=900 ; p10:90+80=170 ; p1:7+3=10 ; sum=900+170+10=1080
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=36,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100100
sorting_algorithms
sorting_algorithms:bubble-sort
4, 5, 1, 2, 6
[4,1,5,2,6] ; [4,1,2,5,6] ; [1,4,2,5,6] ; [1,2,4,5,6]
multidigit_addition
multidigit_addition:rounding-decomposition
246+428
round:250+428=678 ; adjust:678-4=674 ; sum=674
base_conversion
base_conversion:decomposition
n=148,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:0*2^0=0 ; OUT:10010100
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=-80
8x-40=-80 ; x+-5=-10 ; x=-10--5 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=253,base=16
DIV:253/16=15,r:13 ; DIV:15/16=0,r:15 ; OUT:FD
base_conversion
base_conversion:decomposition
n=2,base=4
TERM:2*4^0=2 ; OUT:2
linear_equation_solving
linear_equation_solving:inverse-ops
2x+8=0
2x+8=0 ; x=(0-8)/2 ; x=-8/2 ; x=-4
base_conversion
base_conversion:via-binary
n=75,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:113
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
base_conversion
base_conversion:via-binary
n=155,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:2123
multidigit_addition
multidigit_addition:right-to-left-carry
977+383
d2:7+3+0=10→w0,c1 ; d1:7+8+1=16→w6,c1 ; d0:9+3+1=13→w3,c1 ; sum=1360
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,4)
R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:via-binary
n=95,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1133
sorting_algorithms
sorting_algorithms:merge-sort
4, 3, 0, 7, 1
[3,4,0,7,1] ; [0,3,4,7,1] ; [0,1,3,4,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,3)
D:(1,2) ; R:(1,3)
base_conversion
base_conversion:via-binary
n=196,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11000100
list_summation
list_summation:pairwise
7, 6, 8, 3
7+6=13 ; 8+3=11 ; 13+11=24
list_summation
list_summation:right-to-left
7, 6, 7, 6
7+6=13 ; 6+13=19 ; 7+19=26
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
672+468
d2:2+8+0=10→w0,c1 ; d1:7+6+1=14→w4,c1 ; d0:6+4+1=11→w1,c1 ; sum=1140
base_conversion
base_conversion:via-binary
n=249,base=16
BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:9 ; OUT:F9
sorting_algorithms
sorting_algorithms:insertion-sort
8, 7, 4, 3, 5
[7,8,4,3,5] ; [4,7,8,3,5] ; [3,4,7,8,5] ; [3,4,5,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+56=24
8x+56=24 ; x=(24-56)/8 ; x=-32/8 ; x=-4
list_summation
list_summation:right-to-left
1, 7, 7, 4
7+4=11 ; 7+11=18 ; 1+18=19
base_conversion
base_conversion:decomposition
n=129,base=4
TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:2001
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+49=21
7x+49=21 ; 7x=-28 ; x=-4
base_conversion
base_conversion:repeated-division
n=95,base=16
DIV:95/16=5,r:15 ; DIV:5/16=0,r:5 ; OUT:5F
sorting_algorithms
sorting_algorithms:heap-sort
6, 0, 1, 4, 5
[6,5,1,4,0] ; [0,5,1,4,6] ; [5,0,1,4,6] ; [5,4,1,0,6] ; [0,4,1,5,6] ; [4,0,1,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-49=-112
7x-49=-112 ; x+-7=-16 ; x=-16--7 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-36=-12
4x-36=-12 ; x+-9=-3 ; x=-3--9 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
3, 6, 5, 9, 2
[3,5,6,9,2] ; [3,5,6,2,9] ; [3,5,2,6,9] ; [3,2,5,6,9] ; [2,3,5,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+7=35
7x+7=35 ; x=(35-7)/7 ; x=28/7 ; x=4
list_summation
list_summation:right-to-left
8, 2, 3, 8
3+8=11 ; 2+11=13 ; 8+13=21
list_summation
list_summation:left-to-right
4, 5, 9, 3
4+5=9 ; 9+9=18 ; 18+3=21
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; D:(5,1) ; R:(5,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(3,5)
D:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:pairwise
4, 3, 5, 7
4+3=7 ; 5+7=12 ; 7+12=19
list_summation
list_summation:right-to-left
3, 2, 3, 3
3+3=6 ; 2+6=8 ; 3+8=11
base_conversion
base_conversion:repeated-division
n=36,base=16
DIV:36/16=2,r:4 ; DIV:2/16=0,r:2 ; OUT:24
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-72=-63
9x-72=-63 ; x+-8=-7 ; x=-7--8 ; x=1
list_summation
list_summation:right-to-left
1, 0, 3, 2
3+2=5 ; 0+5=5 ; 1+5=6
list_summation
list_summation:pairwise
1, 3, 4, 0
1+3=4 ; 4+0=4 ; 4+4=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-10=-50
5x-10=-50 ; 5x=-40 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+54=90
9x+54=90 ; 9x=36 ; x=4
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-63=-45
9x-63=-45 ; x+-7=-5 ; x=-5--7 ; x=2
list_summation
list_summation:pairwise
1, 2, 7, 8
1+2=3 ; 7+8=15 ; 3+15=18
multidigit_addition
multidigit_addition:left-to-right-partials
697+169
p100:600+100=700 ; p10:90+60=150 ; p1:7+9=16 ; sum=700+150+16=866
list_summation
list_summation:left-to-right
5, 1, 1, 3
5+1=6 ; 6+1=7 ; 7+3=10
base_conversion
base_conversion:decomposition
n=40,base=4
TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:220
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,4)
R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
5, 8, 5, 4
5+8=13 ; 13+5=18 ; 18+4=22
list_summation
list_summation:right-to-left
7, 8, 9, 8
9+8=17 ; 8+17=25 ; 7+25=32
multidigit_addition
multidigit_addition:right-to-left-carry
916+917
d2:6+7+0=13→w3,c1 ; d1:1+1+1=3→w3,c0 ; d0:9+9+0=18→w8,c1 ; sum=1833
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 3, 5, 8
[2,6,3,5,8] ; [2,3,6,5,8] ; [2,3,5,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
408+242
d2:8+2+0=10→w0,c1 ; d1:0+4+1=5→w5,c0 ; d0:4+2+0=6→w6,c0 ; sum=650
base_conversion
base_conversion:decomposition
n=239,base=2
TERM:1*2^7=128 ; 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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11101111
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 3, 8, 0
[5,7,3,8,0] ; [3,5,7,8,0] ; [3,5,7,8,0] ; [0,3,5,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+0=-8
4x+0=-8 ; x+0=-2 ; x=-2-0 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
962+915
d2:2+5+0=7→w7,c0 ; d1:6+1+0=7→w7,c0 ; d0:9+9+0=18→w8,c1 ; sum=1877
list_summation
list_summation:right-to-left
6, 7, 9, 8
9+8=17 ; 7+17=24 ; 6+24=30
multidigit_addition
multidigit_addition:rounding-decomposition
115+982
round:120+982=1102 ; adjust:1102-5=1097 ; sum=1097
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(2,3)
D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; R:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
137+995
d2:7+5+0=12→w2,c1 ; d1:3+9+1=13→w3,c1 ; d0:1+9+1=11→w1,c1 ; sum=1132
multidigit_addition
multidigit_addition:left-to-right-partials
431+611
p100:400+600=1000 ; p10:30+10=40 ; p1:1+1=2 ; sum=1000+40+2=1042
multidigit_addition
multidigit_addition:left-to-right-partials
298+546
p100:200+500=700 ; p10:90+40=130 ; p1:8+6=14 ; sum=700+130+14=844
multidigit_addition
multidigit_addition:rounding-decomposition
528+979
round:530+979=1509 ; adjust:1509-2=1507 ; sum=1507
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(3,5)
R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,3)
R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)