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
707+812
d2:7+2+0=9→w9,c0 ; d1:0+1+0=1→w1,c0 ; d0:7+8+0=15→w5,c1 ; sum=1519
sorting_algorithms
sorting_algorithms:bubble-sort
3, 8, 9, 7, 0
[3,8,7,9,0] ; [3,8,7,0,9] ; [3,7,8,0,9] ; [3,7,0,8,9] ; [3,0,7,8,9] ; [0,3,7,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
265+245
d2:5+5+0=10→w0,c1 ; d1:6+4+1=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=510
base_conversion
base_conversion:via-binary
n=164,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2210
list_summation
list_summation:left-to-right
7, 0, 4, 1
7+0=7 ; 7+4=11 ; 11+1=12
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(3,2)
R:(1,2) ; D:(2,2) ; D:(3,2)
base_conversion
base_conversion:repeated-division
n=49,base=16
DIV:49/16=3,r:1 ; DIV:3/16=0,r:3 ; OUT:31
linear_equation_solving
linear_equation_solving:inverse-ops
3x-15=6
3x-15=6 ; x=(6--15)/3 ; x=21/3 ; x=7
list_summation
list_summation:right-to-left
9, 1, 6, 8
6+8=14 ; 1+14=15 ; 9+15=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(5,4)
R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=162,base=4
DIV:162/4=40,r:2 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2202
linear_equation_solving
linear_equation_solving:inverse-ops
4x-4=12
4x-4=12 ; x=(12--4)/4 ; x=16/4 ; x=4
base_conversion
base_conversion:decomposition
n=221,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11011101
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(1,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5)
multidigit_addition
multidigit_addition:rounding-decomposition
223+372
round:230+372=602 ; adjust:602-7=595 ; sum=595
base_conversion
base_conversion:decomposition
n=156,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10011100
list_summation
list_summation:pairwise
3, 8, 4, 8
3+8=11 ; 4+8=12 ; 11+12=23
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,3)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-15=30
5x-15=30 ; 5x=45 ; x=9
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
sorting_algorithms
sorting_algorithms:selection-sort
0, 6, 3, 5, 9
[0,6,3,5,9] ; [0,3,6,5,9] ; [0,3,5,6,9] ; [0,3,5,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,2)
R:(2,2) ; D:(3,2) ; D:(4,2)
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)
multidigit_addition
multidigit_addition:rounding-decomposition
203+431
round:210+431=641 ; adjust:641-7=634 ; sum=634
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=115,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:163
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,2)
D:(3,1) ; D:(4,1) ; R:(4,2)
sorting_algorithms
sorting_algorithms:heap-sort
8, 6, 2, 4, 0
[0,6,2,4,8] ; [6,0,2,4,8] ; [6,4,2,0,8] ; [0,4,2,6,8] ; [4,0,2,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 4, 3, 5, 6
[2,4,3,5,6] ; [2,3,4,5,6] ; [2,3,4,5,6] ; [2,3,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+36=54
9x+36=54 ; x+4=6 ; x=6-4 ; x=2
sorting_algorithms
sorting_algorithms:bubble-sort
6, 4, 3, 1, 0
[4,6,3,1,0] ; [4,3,6,1,0] ; [4,3,1,6,0] ; [4,3,1,0,6] ; [3,4,1,0,6] ; [3,1,4,0,6] ; [3,1,0,4,6] ; [1,3,0,4,6] ; [1,0,3,4,6] ; [0,1,3,4,6]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; R:(3,5) ; D:(4,5)
list_summation
list_summation:right-to-left
5, 4, 6, 8
6+8=14 ; 4+14=18 ; 5+18=23
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-28=-20
4x-28=-20 ; 4x=8 ; x=2
sorting_algorithms
sorting_algorithms:insertion-sort
2, 3, 9, 1, 0
[2,3,9,1,0] ; [2,3,9,1,0] ; [1,2,3,9,0] ; [0,1,2,3,9]
multidigit_addition
multidigit_addition:right-to-left-carry
872+471
d2:2+1+0=3→w3,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+4+1=13→w3,c1 ; sum=1343
sorting_algorithms
sorting_algorithms:merge-sort
3, 9, 1, 0, 8
[3,9,0,1,8] ; [0,1,3,9,8] ; [0,1,3,8,9]
base_conversion
base_conversion:decomposition
n=120,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:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1111000
sorting_algorithms
sorting_algorithms:selection-sort
5, 3, 4, 2, 1
[1,3,4,2,5] ; [1,2,4,3,5] ; [1,2,3,4,5] ; [1,2,3,4,5]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,5)
D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-112
7x-56=-112 ; x=(-112--56)/7 ; x=-56/7 ; x=-8
list_summation
list_summation:right-to-left
6, 8, 5, 7
5+7=12 ; 8+12=20 ; 6+20=26
linear_equation_solving
linear_equation_solving:inverse-ops
4x-16=20
4x-16=20 ; x=(20--16)/4 ; x=36/4 ; x=9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
base_conversion
base_conversion:via-binary
n=60,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:330
sorting_algorithms
sorting_algorithms:insertion-sort
9, 4, 0, 2, 5
[4,9,0,2,5] ; [0,4,9,2,5] ; [0,2,4,9,5] ; [0,2,4,5,9]
sorting_algorithms
sorting_algorithms:selection-sort
4, 3, 2, 9, 0
[0,3,2,9,4] ; [0,2,3,9,4] ; [0,2,3,9,4] ; [0,2,3,4,9]
sorting_algorithms
sorting_algorithms:heap-sort
4, 8, 7, 6, 0
[8,4,7,6,0] ; [8,6,7,4,0] ; [0,6,7,4,8] ; [7,6,0,4,8] ; [4,6,0,7,8] ; [6,4,0,7,8] ; [0,4,6,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+10=22
2x+10=22 ; 2x=12 ; x=6
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 5, 8, 3
[3,4,5,8,7] ; [3,4,5,8,7] ; [3,4,5,8,7] ; [3,4,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
0, 2, 1, 4, 7
[0,1,2,4,7]
list_summation
list_summation:right-to-left
5, 6, 7, 8
7+8=15 ; 6+15=21 ; 5+21=26
list_summation
list_summation:right-to-left
9, 8, 7, 5
7+5=12 ; 8+12=20 ; 9+20=29
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(2,3)
R:(1,2) ; D:(2,2) ; R:(2,3)
sorting_algorithms
sorting_algorithms:selection-sort
1, 9, 6, 8, 3
[1,9,6,8,3] ; [1,3,6,8,9] ; [1,3,6,8,9] ; [1,3,6,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-24=0
6x-24=0 ; x=(0--24)/6 ; x=24/6 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,5)
D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-42=-30
6x-42=-30 ; 6x=12 ; x=2
sorting_algorithms
sorting_algorithms:insertion-sort
2, 7, 5, 1, 6
[2,7,5,1,6] ; [2,5,7,1,6] ; [1,2,5,7,6] ; [1,2,5,6,7]
sorting_algorithms
sorting_algorithms:heap-sort
4, 0, 1, 6, 8
[4,8,1,6,0] ; [8,4,1,6,0] ; [8,6,1,4,0] ; [0,6,1,4,8] ; [6,0,1,4,8] ; [6,4,1,0,8] ; [0,4,1,6,8] ; [4,0,1,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
5x+15=-30
5x+15=-30 ; x=(-30-15)/5 ; x=-45/5 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+16=24
4x+16=24 ; 4x=8 ; x=2
multidigit_addition
multidigit_addition:left-to-right-partials
565+127
p100:500+100=600 ; p10:60+20=80 ; p1:5+7=12 ; sum=600+80+12=692
multidigit_addition
multidigit_addition:right-to-left-carry
653+763
d2:3+3+0=6→w6,c0 ; d1:5+6+0=11→w1,c1 ; d0:6+7+1=14→w4,c1 ; sum=1416
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(4,5)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:pairwise
3, 0, 1, 2
3+0=3 ; 1+2=3 ; 3+3=6
multidigit_addition
multidigit_addition:left-to-right-partials
442+542
p100:400+500=900 ; p10:40+40=80 ; p1:2+2=4 ; sum=900+80+4=984
sorting_algorithms
sorting_algorithms:heap-sort
9, 2, 1, 4, 0
[9,4,1,2,0] ; [0,4,1,2,9] ; [4,0,1,2,9] ; [4,2,1,0,9] ; [0,2,1,4,9] ; [2,0,1,4,9] ; [1,0,2,4,9] ; [0,1,2,4,9]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 3, 6, 9, 0
[2,3,6,9,0] ; [2,3,6,9,0] ; [2,3,6,9,0] ; [0,2,3,6,9]
list_summation
list_summation:right-to-left
8, 2, 8, 6
8+6=14 ; 2+14=16 ; 8+16=24
multidigit_addition
multidigit_addition:rounding-decomposition
682+216
round:690+216=906 ; adjust:906-8=898 ; sum=898
sorting_algorithms
sorting_algorithms:selection-sort
0, 2, 6, 9, 8
[0,2,6,9,8] ; [0,2,6,9,8] ; [0,2,6,9,8] ; [0,2,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
168+201
p100:100+200=300 ; p10:60+0=60 ; p1:8+1=9 ; sum=300+60+9=369
list_summation
list_summation:right-to-left
7, 4, 2, 0
2+0=2 ; 4+2=6 ; 7+6=13
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,3)
D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3)
base_conversion
base_conversion:repeated-division
n=4,base=4
DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:10
sorting_algorithms
sorting_algorithms:heap-sort
6, 9, 2, 5, 1
[9,6,2,5,1] ; [1,6,2,5,9] ; [6,1,2,5,9] ; [6,5,2,1,9] ; [1,5,2,6,9] ; [5,1,2,6,9] ; [2,1,5,6,9] ; [1,2,5,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,5)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
9x+0=-9
9x+0=-9 ; x=(-9-0)/9 ; x=-9/9 ; x=-1
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+10=-15
5x+10=-15 ; 5x=-25 ; x=-5
multidigit_addition
multidigit_addition:left-to-right-partials
840+558
p100:800+500=1300 ; p10:40+50=90 ; p1:0+8=8 ; sum=1300+90+8=1398
multidigit_addition
multidigit_addition:rounding-decomposition
628+175
round:630+175=805 ; adjust:805-2=803 ; sum=803
multidigit_addition
multidigit_addition:right-to-left-carry
122+702
d2:2+2+0=4→w4,c0 ; d1:2+0+0=2→w2,c0 ; d0:1+7+0=8→w8,c0 ; sum=824
list_summation
list_summation:pairwise
5, 7, 2, 3
5+7=12 ; 2+3=5 ; 12+5=17
multidigit_addition
multidigit_addition:right-to-left-carry
275+427
d2:5+7+0=12→w2,c1 ; d1:7+2+1=10→w0,c1 ; d0:2+4+1=7→w7,c0 ; sum=702
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(5,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:right-to-left
3, 9, 6, 3
6+3=9 ; 9+9=18 ; 3+18=21
list_summation
list_summation:right-to-left
8, 6, 3, 5
3+5=8 ; 6+8=14 ; 8+14=22
multidigit_addition
multidigit_addition:right-to-left-carry
538+905
d2:8+5+0=13→w3,c1 ; d1:3+0+1=4→w4,c0 ; d0:5+9+0=14→w4,c1 ; sum=1443
list_summation
list_summation:right-to-left
0, 9, 0, 2
0+2=2 ; 9+2=11 ; 0+11=11
base_conversion
base_conversion:decomposition
n=162,base=16
TERM:10*16^1=160 ; TERM:2*16^0=2 ; OUT:A2
multidigit_addition
multidigit_addition:rounding-decomposition
305+745
round:310+745=1055 ; adjust:1055-5=1050 ; sum=1050
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 1, 9, 2
[1,4,7,9,2] ; [1,2,7,9,4] ; [1,2,4,9,7] ; [1,2,4,7,9]
linear_equation_solving
linear_equation_solving:inverse-ops
7x+49=105
7x+49=105 ; x=(105-49)/7 ; x=56/7 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-30=-60
6x-30=-60 ; 6x=-30 ; x=-5
multidigit_addition
multidigit_addition:left-to-right-partials
537+994
p100:500+900=1400 ; p10:30+90=120 ; p1:7+4=11 ; sum=1400+120+11=1531
base_conversion
base_conversion:via-binary
n=58,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:111010