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
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(2,5)
D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5)
list_summation
list_summation:left-to-right
2, 2, 8, 5
2+2=4 ; 4+8=12 ; 12+5=17
list_summation
list_summation:left-to-right
7, 3, 0, 0
7+3=10 ; 10+0=10 ; 10+0=10
multidigit_addition
multidigit_addition:right-to-left-carry
774+915
d2:4+5+0=9→w9,c0 ; d1:7+1+0=8→w8,c0 ; d0:7+9+0=16→w6,c1 ; sum=1689
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(4,4)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(3,2)
D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-35
7x-56=-35 ; x=(-35--56)/7 ; x=21/7 ; x=3
base_conversion
base_conversion:decomposition
n=76,base=16
TERM:4*16^1=64 ; TERM:12*16^0=12 ; OUT:4C
multidigit_addition
multidigit_addition:left-to-right-partials
353+739
p100:300+700=1000 ; p10:50+30=80 ; p1:3+9=12 ; sum=1000+80+12=1092
sorting_algorithms
sorting_algorithms:heap-sort
1, 2, 8, 7, 4
[1,7,8,2,4] ; [8,7,1,2,4] ; [4,7,1,2,8] ; [7,4,1,2,8] ; [2,4,1,7,8] ; [4,2,1,7,8] ; [1,2,4,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
7, 0, 6, 4, 5
[0,7,6,4,5] ; [0,7,4,6,5] ; [0,4,6,7,5] ; [0,4,5,6,7]
base_conversion
base_conversion:decomposition
n=123,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111011
multidigit_addition
multidigit_addition:right-to-left-carry
223+265
d2:3+5+0=8→w8,c0 ; d1:2+6+0=8→w8,c0 ; d0:2+2+0=4→w4,c0 ; sum=488
base_conversion
base_conversion:via-binary
n=247,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11110111
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
list_summation
list_summation:right-to-left
4, 4, 5, 5
5+5=10 ; 4+10=14 ; 4+14=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=-8
8x-40=-8 ; x+-5=-1 ; x=-1--5 ; x=4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
716+923
round:720+923=1643 ; adjust:1643-4=1639 ; sum=1639
list_summation
list_summation:pairwise
5, 9, 8, 9
5+9=14 ; 8+9=17 ; 14+17=31
sorting_algorithms
sorting_algorithms:insertion-sort
7, 2, 6, 0, 8
[2,7,6,0,8] ; [2,6,7,0,8] ; [0,2,6,7,8] ; [0,2,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,3)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 0, 5, 8
[2,0,7,5,8] ; [2,0,5,7,8] ; [0,2,5,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(3,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
base_conversion
base_conversion:via-binary
n=200,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11001000
base_conversion
base_conversion:via-binary
n=79,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:117
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=-6
3x+12=-6 ; x=(-6-12)/3 ; x=-18/3 ; x=-6
linear_equation_solving
linear_equation_solving:inverse-ops
9x-27=-63
9x-27=-63 ; x=(-63--27)/9 ; x=-36/9 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+48=72
8x+48=72 ; x+6=9 ; x=9-6 ; x=3
list_summation
list_summation:right-to-left
7, 7, 2, 6
2+6=8 ; 7+8=15 ; 7+15=22
base_conversion
base_conversion:repeated-division
n=79,base=4
DIV:79/4=19,r:3 ; DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1033
sorting_algorithms
sorting_algorithms:merge-sort
1, 5, 0, 4, 9
[0,1,4,5,9]
list_summation
list_summation:left-to-right
1, 5, 9, 4
1+5=6 ; 6+9=15 ; 15+4=19
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 9, 3, 4
[1,6,3,9,4] ; [1,3,6,9,4] ; [1,3,4,6,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-28=-70
7x-28=-70 ; 7x=-42 ; x=-6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(5,3)
R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
base_conversion
base_conversion:decomposition
n=160,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; 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:10100000
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,5)
D:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 8, 2, 7, 9
[5,9,2,7,8] ; [9,5,2,7,8] ; [9,8,2,7,5] ; [5,8,2,7,9] ; [8,5,2,7,9] ; [8,7,2,5,9] ; [5,7,2,8,9] ; [7,5,2,8,9] ; [2,5,7,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
873+304
round:880+304=1184 ; adjust:1184-7=1177 ; sum=1177
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-10=-50
5x-10=-50 ; 5x=-40 ; x=-8
list_summation
list_summation:right-to-left
1, 0, 0, 6
0+6=6 ; 0+6=6 ; 1+6=7
multidigit_addition
multidigit_addition:left-to-right-partials
813+448
p100:800+400=1200 ; p10:10+40=50 ; p1:3+8=11 ; sum=1200+50+11=1261
sorting_algorithms
sorting_algorithms:heap-sort
6, 0, 9, 2, 3
[6,3,9,2,0] ; [9,3,6,2,0] ; [0,3,6,2,9] ; [6,3,0,2,9] ; [2,3,0,6,9] ; [3,2,0,6,9] ; [0,2,3,6,9] ; [2,0,3,6,9] ; [0,2,3,6,9]
base_conversion
base_conversion:decomposition
n=182,base=8
TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:6*8^0=6 ; OUT:266
sorting_algorithms
sorting_algorithms:insertion-sort
6, 2, 7, 4, 0
[2,6,7,4,0] ; [2,6,7,4,0] ; [2,4,6,7,0] ; [0,2,4,6,7]
list_summation
list_summation:right-to-left
9, 0, 1, 4
1+4=5 ; 0+5=5 ; 9+5=14
list_summation
list_summation:pairwise
2, 8, 7, 2
2+8=10 ; 7+2=9 ; 10+9=19
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(4,5)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
820+899
round:820+899=1719 ; adjust:1719-0=1719 ; sum=1719
multidigit_addition
multidigit_addition:left-to-right-partials
446+616
p100:400+600=1000 ; p10:40+10=50 ; p1:6+6=12 ; sum=1000+50+12=1062
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,5)
D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:left-to-right
2, 6, 8, 5
2+6=8 ; 8+8=16 ; 16+5=21
multidigit_addition
multidigit_addition:right-to-left-carry
604+585
d2:4+5+0=9→w9,c0 ; d1:0+8+0=8→w8,c0 ; d0:6+5+0=11→w1,c1 ; sum=1189
multidigit_addition
multidigit_addition:left-to-right-partials
233+986
p100:200+900=1100 ; p10:30+80=110 ; p1:3+6=9 ; sum=1100+110+9=1219
multidigit_addition
multidigit_addition:rounding-decomposition
583+680
round:590+680=1270 ; adjust:1270-7=1263 ; sum=1263
multidigit_addition
multidigit_addition:rounding-decomposition
585+228
round:590+228=818 ; adjust:818-5=813 ; sum=813
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:inverse-ops
8x-40=-40
8x-40=-40 ; x=(-40--40)/8 ; x=0/8 ; x=0
multidigit_addition
multidigit_addition:right-to-left-carry
188+889
d2:8+9+0=17→w7,c1 ; d1:8+8+1=17→w7,c1 ; d0:1+8+1=10→w0,c1 ; sum=1077
base_conversion
base_conversion:via-binary
n=165,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:5 ; OUT:A5
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+21=84
7x+21=84 ; x+3=12 ; x=12-3 ; x=9
base_conversion
base_conversion:repeated-division
n=113,base=4
DIV:113/4=28,r:1 ; DIV:28/4=7,r:0 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1301
multidigit_addition
multidigit_addition:left-to-right-partials
712+786
p100:700+700=1400 ; p10:10+80=90 ; p1:2+6=8 ; sum=1400+90+8=1498
multidigit_addition
multidigit_addition:left-to-right-partials
364+778
p100:300+700=1000 ; p10:60+70=130 ; p1:4+8=12 ; sum=1000+130+12=1142
sorting_algorithms
sorting_algorithms:selection-sort
5, 6, 4, 8, 7
[4,6,5,8,7] ; [4,5,6,8,7] ; [4,5,6,8,7] ; [4,5,6,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
289+193
p100:200+100=300 ; p10:80+90=170 ; p1:9+3=12 ; sum=300+170+12=482
multidigit_addition
multidigit_addition:left-to-right-partials
725+991
p100:700+900=1600 ; p10:20+90=110 ; p1:5+1=6 ; sum=1600+110+6=1716
base_conversion
base_conversion:decomposition
n=131,base=8
TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:203
base_conversion
base_conversion:via-binary
n=76,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:12 ; OUT:4C
multidigit_addition
multidigit_addition:left-to-right-partials
748+873
p100:700+800=1500 ; p10:40+70=110 ; p1:8+3=11 ; sum=1500+110+11=1621
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-77
7x-56=-77 ; x=(-77--56)/7 ; x=-21/7 ; x=-3
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+10=-20
5x+10=-20 ; 5x=-30 ; x=-6
multidigit_addition
multidigit_addition:left-to-right-partials
157+975
p100:100+900=1000 ; p10:50+70=120 ; p1:7+5=12 ; sum=1000+120+12=1132
list_summation
list_summation:left-to-right
3, 7, 4, 9
3+7=10 ; 10+4=14 ; 14+9=23
sorting_algorithms
sorting_algorithms:heap-sort
8, 4, 3, 7, 2
[8,7,3,4,2] ; [2,7,3,4,8] ; [7,2,3,4,8] ; [7,4,3,2,8] ; [2,4,3,7,8] ; [4,2,3,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8]
list_summation
list_summation:right-to-left
3, 7, 8, 2
8+2=10 ; 7+10=17 ; 3+17=20
list_summation
list_summation:left-to-right
4, 5, 2, 5
4+5=9 ; 9+2=11 ; 11+5=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(4,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
3x-21=-33
3x-21=-33 ; x=(-33--21)/3 ; x=-12/3 ; x=-4
list_summation
list_summation:pairwise
4, 2, 2, 2
4+2=6 ; 2+2=4 ; 6+4=10
multidigit_addition
multidigit_addition:right-to-left-carry
849+848
d2:9+8+0=17→w7,c1 ; d1:4+4+1=9→w9,c0 ; d0:8+8+0=16→w6,c1 ; sum=1697
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-12=-6
6x-12=-6 ; x+-2=-1 ; x=-1--2 ; x=1
list_summation
list_summation:left-to-right
1, 6, 0, 4
1+6=7 ; 7+0=7 ; 7+4=11
base_conversion
base_conversion:via-binary
n=20,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:4 ; OUT:24
base_conversion
base_conversion:repeated-division
n=122,base=8
DIV:122/8=15,r:2 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:172
multidigit_addition
multidigit_addition:left-to-right-partials
119+256
p100:100+200=300 ; p10:10+50=60 ; p1:9+6=15 ; sum=300+60+15=375
base_conversion
base_conversion:decomposition
n=67,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1003
sorting_algorithms
sorting_algorithms:bubble-sort
5, 8, 4, 0, 7
[5,4,8,0,7] ; [5,4,0,8,7] ; [5,4,0,7,8] ; [4,5,0,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 2, 7, 9, 6
[2,5,7,9,6] ; [2,5,7,6,9] ; [2,5,6,7,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(5,5)
R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
4, 6, 8, 5, 2
[2,6,8,5,4] ; [2,4,8,5,6] ; [2,4,5,8,6] ; [2,4,5,6,8]
sorting_algorithms
sorting_algorithms:merge-sort
9, 0, 7, 4, 1
[0,9,7,4,1] ; [0,9,4,7,1] ; [0,4,7,9,1] ; [0,1,4,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-10=20
5x-10=20 ; x+-2=4 ; x=4--2 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 2, 0, 7
[1,8,2,0,7] ; [1,2,8,0,7] ; [1,2,0,8,7] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
770+721
d2:0+1+0=1→w1,c0 ; d1:7+2+0=9→w9,c0 ; d0:7+7+0=14→w4,c1 ; sum=1491
sorting_algorithms
sorting_algorithms:heap-sort
6, 0, 5, 9, 4
[6,9,5,0,4] ; [9,6,5,0,4] ; [4,6,5,0,9] ; [6,4,5,0,9] ; [0,4,5,6,9] ; [5,4,0,6,9] ; [0,4,5,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9]
base_conversion
base_conversion:via-binary
n=236,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3230
multidigit_addition
multidigit_addition:left-to-right-partials
799+768
p100:700+700=1400 ; p10:90+60=150 ; p1:9+8=17 ; sum=1400+150+17=1567