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:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
6, 3, 8, 5, 0
[3,6,8,5,0] ; [3,6,8,5,0] ; [3,5,6,8,0] ; [0,3,5,6,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
7, 5, 0, 3
0+3=3 ; 5+3=8 ; 7+8=15
list_summation
list_summation:right-to-left
1, 9, 1, 7
1+7=8 ; 9+8=17 ; 1+17=18
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(5,3)
D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3)
base_conversion
base_conversion:repeated-division
n=31,base=4
DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:133
list_summation
list_summation:left-to-right
5, 1, 7, 6
5+1=6 ; 6+7=13 ; 13+6=19
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:right-to-left-carry
812+433
d2:2+3+0=5→w5,c0 ; d1:1+3+0=4→w4,c0 ; d0:8+4+0=12→w2,c1 ; sum=1245
list_summation
list_summation:right-to-left
8, 3, 8, 6
8+6=14 ; 3+14=17 ; 8+17=25
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+12=24
2x+12=24 ; x+6=12 ; x=12-6 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=102
6x+54=102 ; x+9=17 ; x=17-9 ; x=8
multidigit_addition
multidigit_addition:rounding-decomposition
506+812
round:510+812=1322 ; adjust:1322-4=1318 ; sum=1318
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:heap-sort
5, 2, 7, 6, 9
[5,9,7,6,2] ; [9,5,7,6,2] ; [9,6,7,5,2] ; [2,6,7,5,9] ; [7,6,2,5,9] ; [5,6,2,7,9] ; [6,5,2,7,9] ; [2,5,6,7,9] ; [5,2,6,7,9] ; [2,5,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+6=-30
6x+6=-30 ; x+1=-5 ; x=-5-1 ; x=-6
multidigit_addition
multidigit_addition:rounding-decomposition
268+760
round:270+760=1030 ; adjust:1030-2=1028 ; sum=1028
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 3, 2, 6
[0,9,2,3,6] ; [0,2,3,9,6] ; [0,2,3,6,9]
list_summation
list_summation:right-to-left
4, 4, 4, 9
4+9=13 ; 4+13=17 ; 4+17=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; R:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
0, 6, 2, 3, 7
[0,2,6,3,7] ; [0,2,3,6,7]
sorting_algorithms
sorting_algorithms:insertion-sort
3, 6, 2, 5, 7
[3,6,2,5,7] ; [2,3,6,5,7] ; [2,3,5,6,7] ; [2,3,5,6,7]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-40=-10
5x-40=-10 ; 5x=30 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-35=-49
7x-35=-49 ; x+-5=-7 ; x=-7--5 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
434+852
d2:4+2+0=6→w6,c0 ; d1:3+5+0=8→w8,c0 ; d0:4+8+0=12→w2,c1 ; sum=1286
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+20=-8
4x+20=-8 ; x+5=-2 ; x=-2-5 ; x=-7
linear_equation_solving
linear_equation_solving:inverse-ops
7x+28=0
7x+28=0 ; x=(0-28)/7 ; x=-28/7 ; x=-4
base_conversion
base_conversion:via-binary
n=191,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:7 ; OUT:277
sorting_algorithms
sorting_algorithms:bubble-sort
3, 1, 2, 9, 6
[1,3,2,9,6] ; [1,2,3,9,6] ; [1,2,3,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
644+994
p100:600+900=1500 ; p10:40+90=130 ; p1:4+4=8 ; sum=1500+130+8=1638
list_summation
list_summation:pairwise
4, 3, 5, 8
4+3=7 ; 5+8=13 ; 7+13=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(5,4)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
899+909
round:900+909=1809 ; adjust:1809-1=1808 ; sum=1808
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,4)
R:(3,3) ; R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:insertion-sort
9, 5, 7, 0, 6
[5,9,7,0,6] ; [5,7,9,0,6] ; [0,5,7,9,6] ; [0,5,6,7,9]
list_summation
list_summation:left-to-right
5, 5, 5, 0
5+5=10 ; 10+5=15 ; 15+0=15
sorting_algorithms
sorting_algorithms:insertion-sort
3, 9, 0, 5, 8
[3,9,0,5,8] ; [0,3,9,5,8] ; [0,3,5,9,8] ; [0,3,5,8,9]
base_conversion
base_conversion:via-binary
n=216,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:3120
base_conversion
base_conversion:decomposition
n=18,base=16
TERM:1*16^1=16 ; TERM:2*16^0=2 ; OUT:12
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(3,4)
D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(4,3)
R:(2,3) ; D:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:insertion-sort
1, 6, 7, 0, 8
[1,6,7,0,8] ; [1,6,7,0,8] ; [0,1,6,7,8] ; [0,1,6,7,8]
sorting_algorithms
sorting_algorithms:heap-sort
9, 4, 5, 2, 0
[0,4,5,2,9] ; [5,4,0,2,9] ; [2,4,0,5,9] ; [4,2,0,5,9] ; [0,2,4,5,9] ; [2,0,4,5,9] ; [0,2,4,5,9]
sorting_algorithms
sorting_algorithms:merge-sort
3, 2, 8, 6, 0
[2,3,8,6,0] ; [2,3,6,8,0] ; [0,2,3,6,8]
multidigit_addition
multidigit_addition:rounding-decomposition
494+240
round:500+240=740 ; adjust:740-6=734 ; sum=734
multidigit_addition
multidigit_addition:rounding-decomposition
608+572
round:610+572=1182 ; adjust:1182-2=1180 ; sum=1180
sorting_algorithms
sorting_algorithms:merge-sort
8, 0, 3, 9, 6
[0,8,3,9,6] ; [0,3,8,9,6] ; [0,3,6,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-20=-10
5x-20=-10 ; 5x=10 ; x=2
list_summation
list_summation:pairwise
8, 3, 0, 2
8+3=11 ; 0+2=2 ; 11+2=13
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
542+797
round:550+797=1347 ; adjust:1347-8=1339 ; sum=1339
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+56=88
8x+56=88 ; 8x=32 ; x=4
base_conversion
base_conversion:via-binary
n=160,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:0 ; OUT:240
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-54=-36
9x-54=-36 ; 9x=18 ; x=2
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+48=48
8x+48=48 ; 8x=0 ; x=0
base_conversion
base_conversion:decomposition
n=108,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1230
base_conversion
base_conversion:repeated-division
n=251,base=16
DIV:251/16=15,r:11 ; DIV:15/16=0,r:15 ; OUT:FB
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,4)
D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:rounding-decomposition
780+589
round:780+589=1369 ; adjust:1369-0=1369 ; sum=1369
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+54=18
9x+54=18 ; x+6=2 ; x=2-6 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-28=-52
4x-28=-52 ; x+-7=-13 ; x=-13--7 ; x=-6
list_summation
list_summation:pairwise
2, 6, 6, 4
2+6=8 ; 6+4=10 ; 8+10=18
sorting_algorithms
sorting_algorithms:merge-sort
2, 9, 7, 1, 5
[2,9,1,7,5] ; [1,2,7,9,5] ; [1,2,5,7,9]
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)
base_conversion
base_conversion:decomposition
n=247,base=8
TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:367
base_conversion
base_conversion:via-binary
n=113,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1110001
base_conversion
base_conversion:via-binary
n=99,base=16
BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,3)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 6, 8, 4, 7
[0,6,8,4,7] ; [0,6,8,4,7] ; [0,4,6,8,7] ; [0,4,6,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 3, 7, 8, 1
[3,9,7,8,1] ; [3,7,9,8,1] ; [3,7,8,9,1] ; [1,3,7,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
2, 7, 4, 5, 8
[2,7,4,5,8] ; [2,4,7,5,8] ; [2,4,5,7,8] ; [2,4,5,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(3,5)
D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
base_conversion
base_conversion:decomposition
n=127,base=8
TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:177
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(2,4)
R:(1,4) ; D:(2,4)
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 9, 8, 3
[6,8,9,2,3] ; [9,8,6,2,3] ; [3,8,6,2,9] ; [8,3,6,2,9] ; [2,3,6,8,9] ; [6,3,2,8,9] ; [2,3,6,8,9] ; [3,2,6,8,9] ; [2,3,6,8,9]
base_conversion
base_conversion:decomposition
n=252,base=16
TERM:15*16^1=240 ; TERM:12*16^0=12 ; OUT:FC
sorting_algorithms
sorting_algorithms:merge-sort
5, 9, 0, 1, 3
[0,1,5,9,3] ; [0,1,3,5,9]
multidigit_addition
multidigit_addition:rounding-decomposition
539+929
round:540+929=1469 ; adjust:1469-1=1468 ; sum=1468
list_summation
list_summation:right-to-left
6, 8, 8, 8
8+8=16 ; 8+16=24 ; 6+24=30
multidigit_addition
multidigit_addition:rounding-decomposition
849+475
round:850+475=1325 ; adjust:1325-1=1324 ; sum=1324
list_summation
list_summation:left-to-right
1, 5, 0, 2
1+5=6 ; 6+0=6 ; 6+2=8
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+0=-15
5x+0=-15 ; x+0=-3 ; x=-3-0 ; x=-3
base_conversion
base_conversion:decomposition
n=103,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147
list_summation
list_summation:pairwise
5, 6, 9, 0
5+6=11 ; 9+0=9 ; 11+9=20
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=8
8x-24=8 ; x=(8--24)/8 ; x=32/8 ; x=4
sorting_algorithms
sorting_algorithms:heap-sort
2, 7, 5, 9, 1
[2,9,5,7,1] ; [9,2,5,7,1] ; [9,7,5,2,1] ; [1,7,5,2,9] ; [7,1,5,2,9] ; [7,2,5,1,9] ; [1,2,5,7,9] ; [5,2,1,7,9] ; [1,2,5,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9]
base_conversion
base_conversion:via-binary
n=26,base=2
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11010
multidigit_addition
multidigit_addition:right-to-left-carry
887+662
d2:7+2+0=9→w9,c0 ; d1:8+6+0=14→w4,c1 ; d0:8+6+1=15→w5,c1 ; sum=1549
list_summation
list_summation:pairwise
6, 7, 9, 9
6+7=13 ; 9+9=18 ; 13+18=31
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-81=0
9x-81=0 ; 9x=81 ; x=9
sorting_algorithms
sorting_algorithms:merge-sort
0, 8, 4, 5, 9
[0,4,5,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
4x+0=-28
4x+0=-28 ; x=(-28-0)/4 ; x=-28/4 ; x=-7
sorting_algorithms
sorting_algorithms:bubble-sort
7, 3, 9, 8, 1
[3,7,9,8,1] ; [3,7,8,9,1] ; [3,7,8,1,9] ; [3,7,1,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9]
base_conversion
base_conversion:via-binary
n=122,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1111010
multidigit_addition
multidigit_addition:left-to-right-partials
226+785
p100:200+700=900 ; p10:20+80=100 ; p1:6+5=11 ; sum=900+100+11=1011
list_summation
list_summation:left-to-right
6, 2, 3, 5
6+2=8 ; 8+3=11 ; 11+5=16
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-2=-20
2x-2=-20 ; 2x=-18 ; x=-9