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
multidigit_addition
multidigit_addition:right-to-left-carry
747+321
d2:7+1+0=8→w8,c0 ; d1:4+2+0=6→w6,c0 ; d0:7+3+0=10→w0,c1 ; sum=1068
sorting_algorithms
sorting_algorithms:bubble-sort
0, 7, 6, 2, 1
[0,6,7,2,1] ; [0,6,2,7,1] ; [0,6,2,1,7] ; [0,2,6,1,7] ; [0,2,1,6,7] ; [0,1,2,6,7]
list_summation
list_summation:left-to-right
6, 1, 1, 8
6+1=7 ; 7+1=8 ; 8+8=16
base_conversion
base_conversion:repeated-division
n=6,base=2
DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110
list_summation
list_summation:right-to-left
0, 6, 7, 5
7+5=12 ; 6+12=18 ; 0+18=18
base_conversion
base_conversion:decomposition
n=178,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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10110010
sorting_algorithms
sorting_algorithms:selection-sort
1, 0, 9, 7, 8
[0,1,9,7,8] ; [0,1,9,7,8] ; [0,1,7,9,8] ; [0,1,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
3, 8, 5, 9, 6
[3,5,8,9,6] ; [3,5,8,6,9] ; [3,5,6,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
586+151
d2:6+1+0=7→w7,c0 ; d1:8+5+0=13→w3,c1 ; d0:5+1+1=7→w7,c0 ; sum=737
sorting_algorithms
sorting_algorithms:bubble-sort
1, 8, 4, 0, 2
[1,4,8,0,2] ; [1,4,0,8,2] ; [1,4,0,2,8] ; [1,0,4,2,8] ; [1,0,2,4,8] ; [0,1,2,4,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:right-to-left-carry
978+367
d2:8+7+0=15→w5,c1 ; d1:7+6+1=14→w4,c1 ; d0:9+3+1=13→w3,c1 ; sum=1345
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(5,5)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+20=52
4x+20=52 ; x=(52-20)/4 ; x=32/4 ; x=8
list_summation
list_summation:left-to-right
6, 5, 3, 4
6+5=11 ; 11+3=14 ; 14+4=18
base_conversion
base_conversion:decomposition
n=179,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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10110011
list_summation
list_summation:left-to-right
3, 1, 7, 6
3+1=4 ; 4+7=11 ; 11+6=17
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=-48
8x-24=-48 ; x=(-48--24)/8 ; x=-24/8 ; x=-3
list_summation
list_summation:pairwise
8, 1, 6, 4
8+1=9 ; 6+4=10 ; 9+10=19
base_conversion
base_conversion:via-binary
n=252,base=16
BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:12 ; OUT:FC
multidigit_addition
multidigit_addition:left-to-right-partials
323+428
p100:300+400=700 ; p10:20+20=40 ; p1:3+8=11 ; sum=700+40+11=751
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(1,4)
R:(0,4) ; D:(1,4)
base_conversion
base_conversion:decomposition
n=31,base=4
TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:133
list_summation
list_summation:pairwise
7, 8, 9, 1
7+8=15 ; 9+1=10 ; 15+10=25
list_summation
list_summation:left-to-right
5, 4, 8, 3
5+4=9 ; 9+8=17 ; 17+3=20
multidigit_addition
multidigit_addition:rounding-decomposition
612+309
round:620+309=929 ; adjust:929-8=921 ; sum=921
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)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-54=-108
6x-54=-108 ; x=(-108--54)/6 ; x=-54/6 ; x=-9
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 2, 4, 6
[3,2,9,4,6] ; [3,2,4,9,6] ; [3,2,4,6,9] ; [2,3,4,6,9]
list_summation
list_summation:right-to-left
5, 0, 2, 5
2+5=7 ; 0+7=7 ; 5+7=12
list_summation
list_summation:right-to-left
4, 4, 6, 0
6+0=6 ; 4+6=10 ; 4+10=14
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(5,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
4, 6, 4, 7
4+6=10 ; 10+4=14 ; 14+7=21
sorting_algorithms
sorting_algorithms:heap-sort
7, 8, 1, 6, 2
[8,7,1,6,2] ; [2,7,1,6,8] ; [7,2,1,6,8] ; [7,6,1,2,8] ; [2,6,1,7,8] ; [6,2,1,7,8] ; [1,2,6,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8]
sorting_algorithms
sorting_algorithms:selection-sort
0, 7, 9, 4, 2
[0,7,9,4,2] ; [0,2,9,4,7] ; [0,2,4,9,7] ; [0,2,4,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,4)
R:(2,4) ; D:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-63=-98
7x-63=-98 ; x=(-98--63)/7 ; x=-35/7 ; x=-5
list_summation
list_summation:pairwise
1, 0, 0, 4
1+0=1 ; 0+4=4 ; 1+4=5
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)
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)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+16=64
8x+16=64 ; x=(64-16)/8 ; x=48/8 ; x=6
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 5, 7, 4
[9,7,5,0,4] ; [4,7,5,0,9] ; [7,4,5,0,9] ; [0,4,5,7,9] ; [5,4,0,7,9] ; [0,4,5,7,9] ; [4,0,5,7,9] ; [0,4,5,7,9]
list_summation
list_summation:right-to-left
5, 9, 1, 7
1+7=8 ; 9+8=17 ; 5+17=22
list_summation
list_summation:right-to-left
6, 6, 8, 2
8+2=10 ; 6+10=16 ; 6+16=22
base_conversion
base_conversion:via-binary
n=190,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111110
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(5,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-24=18
6x-24=18 ; x+-4=3 ; x=3--4 ; x=7
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 0, 6, 9
[1,5,0,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(4,3)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
sorting_algorithms
sorting_algorithms:insertion-sort
4, 0, 9, 3, 5
[0,4,9,3,5] ; [0,4,9,3,5] ; [0,3,4,9,5] ; [0,3,4,5,9]
multidigit_addition
multidigit_addition:rounding-decomposition
179+775
round:180+775=955 ; adjust:955-1=954 ; sum=954
list_summation
list_summation:pairwise
2, 0, 4, 8
2+0=2 ; 4+8=12 ; 2+12=14
base_conversion
base_conversion:decomposition
n=192,base=16
TERM:12*16^1=192 ; TERM:0*16^0=0 ; OUT:C0
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+0=-48
8x+0=-48 ; x+0=-6 ; x=-6-0 ; x=-6
base_conversion
base_conversion:via-binary
n=118,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1110110
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-9=-6
3x-9=-6 ; 3x=3 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(4,4)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
multidigit_addition
multidigit_addition:right-to-left-carry
555+487
d2:5+7+0=12→w2,c1 ; d1:5+8+1=14→w4,c1 ; d0:5+4+1=10→w0,c1 ; sum=1042
list_summation
list_summation:left-to-right
2, 1, 9, 2
2+1=3 ; 3+9=12 ; 12+2=14
sorting_algorithms
sorting_algorithms:insertion-sort
6, 9, 8, 1, 2
[6,9,8,1,2] ; [6,8,9,1,2] ; [1,6,8,9,2] ; [1,2,6,8,9]
list_summation
list_summation:pairwise
8, 9, 6, 4
8+9=17 ; 6+4=10 ; 17+10=27
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(4,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
list_summation
list_summation:right-to-left
3, 1, 0, 8
0+8=8 ; 1+8=9 ; 3+9=12
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
7, 7, 6, 6
7+7=14 ; 6+6=12 ; 14+12=26
multidigit_addition
multidigit_addition:right-to-left-carry
950+135
d2:0+5+0=5→w5,c0 ; d1:5+3+0=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1085
multidigit_addition
multidigit_addition:right-to-left-carry
880+992
d2:0+2+0=2→w2,c0 ; d1:8+9+0=17→w7,c1 ; d0:8+9+1=18→w8,c1 ; sum=1872
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,2)
D:(4,1) ; R:(4,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(5,4)
D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
5, 8, 4, 2
5+8=13 ; 4+2=6 ; 13+6=19
list_summation
list_summation:pairwise
7, 9, 6, 3
7+9=16 ; 6+3=9 ; 16+9=25
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,2)
R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+21=-6
3x+21=-6 ; 3x=-27 ; x=-9
list_summation
list_summation:right-to-left
7, 9, 3, 2
3+2=5 ; 9+5=14 ; 7+14=21
linear_equation_solving
linear_equation_solving:inverse-ops
9x-18=-18
9x-18=-18 ; x=(-18--18)/9 ; x=0/9 ; x=0
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(2,1)
D:(2,0) ; R:(2,1)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(3,4)
D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4)
base_conversion
base_conversion:via-binary
n=198,base=16
BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:6 ; OUT:C6
linear_equation_solving
linear_equation_solving:inverse-ops
9x-72=-18
9x-72=-18 ; x=(-18--72)/9 ; x=54/9 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 2, 3, 7
[1,5,2,3,7] ; [1,2,5,3,7] ; [1,2,3,5,7]
sorting_algorithms
sorting_algorithms:heap-sort
0, 8, 3, 1, 7
[8,0,3,1,7] ; [8,7,3,1,0] ; [0,7,3,1,8] ; [7,0,3,1,8] ; [7,1,3,0,8] ; [0,1,3,7,8] ; [3,1,0,7,8] ; [0,1,3,7,8] ; [1,0,3,7,8] ; [0,1,3,7,8]
list_summation
list_summation:left-to-right
5, 8, 2, 4
5+8=13 ; 13+2=15 ; 15+4=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(2,4)
D:(2,2) ; R:(2,3) ; R:(2,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(2,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4)
base_conversion
base_conversion:via-binary
n=186,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:10 ; OUT:BA
list_summation
list_summation:left-to-right
3, 5, 4, 8
3+5=8 ; 8+4=12 ; 12+8=20
list_summation
list_summation:left-to-right
4, 8, 7, 3
4+8=12 ; 12+7=19 ; 19+3=22
sorting_algorithms
sorting_algorithms:heap-sort
1, 3, 7, 8, 4
[1,8,7,3,4] ; [8,1,7,3,4] ; [8,4,7,3,1] ; [1,4,7,3,8] ; [7,4,1,3,8] ; [3,4,1,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
8x-56=16
8x-56=16 ; x=(16--56)/8 ; x=72/8 ; x=9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:right-to-left-carry
311+586
d2:1+6+0=7→w7,c0 ; d1:1+8+0=9→w9,c0 ; d0:3+5+0=8→w8,c0 ; sum=897
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(3,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 3, 5, 1
[0,7,3,5,1] ; [0,3,7,5,1] ; [0,3,5,7,1] ; [0,1,3,5,7]
list_summation
list_summation:left-to-right
5, 2, 9, 9
5+2=7 ; 7+9=16 ; 16+9=25
list_summation
list_summation:right-to-left
2, 4, 2, 7
2+7=9 ; 4+9=13 ; 2+13=15
base_conversion
base_conversion:decomposition
n=118,base=4
TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1312
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(2,4)
D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-8=4
4x-8=4 ; 4x=12 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
475+235
round:480+235=715 ; adjust:715-5=710 ; sum=710