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=97,base=4
DIV:97/4=24,r:1 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1201
base_conversion
base_conversion:via-binary
n=83,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1010011
sorting_algorithms
sorting_algorithms:selection-sort
8, 2, 5, 7, 4
[2,8,5,7,4] ; [2,4,5,7,8] ; [2,4,5,7,8] ; [2,4,5,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
2, 8, 4, 5, 6
[2,8,4,5,6] ; [2,4,8,5,6] ; [2,4,5,8,6] ; [2,4,5,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+32=48
8x+32=48 ; x+4=6 ; x=6-4 ; x=2
sorting_algorithms
sorting_algorithms:selection-sort
3, 4, 2, 9, 6
[2,4,3,9,6] ; [2,3,4,9,6] ; [2,3,4,9,6] ; [2,3,4,6,9]
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 0, 4, 5
[0,8,3,4,5] ; [0,3,8,4,5] ; [0,3,4,8,5] ; [0,3,4,5,8]
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 5, 1, 2
[1,7,5,9,2] ; [1,2,5,9,7] ; [1,2,5,9,7] ; [1,2,5,7,9]
list_summation
list_summation:left-to-right
6, 6, 4, 2
6+6=12 ; 12+4=16 ; 16+2=18
base_conversion
base_conversion:via-binary
n=163,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:3 ; OUT:243
list_summation
list_summation:right-to-left
1, 0, 1, 4
1+4=5 ; 0+5=5 ; 1+5=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+40=48
8x+40=48 ; x+5=6 ; x=6-5 ; x=1
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+3=-21
3x+3=-21 ; x+1=-7 ; x=-7-1 ; x=-8
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,0) ; G=(5,3)
D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:selection-sort
0, 8, 9, 7, 4
[0,8,9,7,4] ; [0,4,9,7,8] ; [0,4,7,9,8] ; [0,4,7,8,9]
list_summation
list_summation:pairwise
5, 2, 9, 7
5+2=7 ; 9+7=16 ; 7+16=23
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(3,3)
D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3)
base_conversion
base_conversion:via-binary
n=168,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2220
list_summation
list_summation:left-to-right
9, 3, 4, 7
9+3=12 ; 12+4=16 ; 16+7=23
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(4,4)
R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4)
base_conversion
base_conversion:via-binary
n=7,base=2
BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111
sorting_algorithms
sorting_algorithms:insertion-sort
8, 4, 9, 7, 3
[4,8,9,7,3] ; [4,8,9,7,3] ; [4,7,8,9,3] ; [3,4,7,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,2)
D:(4,1) ; D:(5,1) ; R:(5,2)
sorting_algorithms
sorting_algorithms:heap-sort
3, 6, 8, 1, 4
[8,6,3,1,4] ; [4,6,3,1,8] ; [6,4,3,1,8] ; [1,4,3,6,8] ; [4,1,3,6,8] ; [3,1,4,6,8] ; [1,3,4,6,8]
multidigit_addition
multidigit_addition:left-to-right-partials
101+210
p100:100+200=300 ; p10:0+10=10 ; p1:1+0=1 ; sum=300+10+1=311
sorting_algorithms
sorting_algorithms:bubble-sort
0, 8, 5, 1, 7
[0,5,8,1,7] ; [0,5,1,8,7] ; [0,5,1,7,8] ; [0,1,5,7,8]
list_summation
list_summation:right-to-left
6, 2, 5, 3
5+3=8 ; 2+8=10 ; 6+10=16
base_conversion
base_conversion:decomposition
n=27,base=2
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:11011
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,2)
D:(4,0) ; R:(4,1) ; R:(4,2)
list_summation
list_summation:right-to-left
6, 5, 6, 8
6+8=14 ; 5+14=19 ; 6+19=25
list_summation
list_summation:left-to-right
7, 0, 8, 0
7+0=7 ; 7+8=15 ; 15+0=15
sorting_algorithms
sorting_algorithms:heap-sort
0, 6, 7, 5, 2
[7,6,0,5,2] ; [2,6,0,5,7] ; [6,2,0,5,7] ; [6,5,0,2,7] ; [2,5,0,6,7] ; [5,2,0,6,7] ; [0,2,5,6,7] ; [2,0,5,6,7] ; [0,2,5,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
362+900
round:370+900=1270 ; adjust:1270-8=1262 ; sum=1262
multidigit_addition
multidigit_addition:rounding-decomposition
801+322
round:810+322=1132 ; adjust:1132-9=1123 ; sum=1123
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+24=52
4x+24=52 ; 4x=28 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,2)
D:(4,0) ; R:(4,1) ; R:(4,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+30=60
5x+30=60 ; 5x=30 ; x=6
multidigit_addition
multidigit_addition:left-to-right-partials
594+156
p100:500+100=600 ; p10:90+50=140 ; p1:4+6=10 ; sum=600+140+10=750
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+36=24
6x+36=24 ; 6x=-12 ; x=-2
base_conversion
base_conversion:via-binary
n=80,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1100
multidigit_addition
multidigit_addition:right-to-left-carry
610+792
d2:0+2+0=2→w2,c0 ; d1:1+9+0=10→w0,c1 ; d0:6+7+1=14→w4,c1 ; sum=1402
base_conversion
base_conversion:decomposition
n=34,base=16
TERM:2*16^1=32 ; TERM:2*16^0=2 ; OUT:22
sorting_algorithms
sorting_algorithms:bubble-sort
5, 6, 9, 0, 2
[5,6,0,9,2] ; [5,6,0,2,9] ; [5,0,6,2,9] ; [5,0,2,6,9] ; [0,5,2,6,9] ; [0,2,5,6,9]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 5, 1, 3, 6
[2,1,5,3,6] ; [2,1,3,5,6] ; [1,2,3,5,6]
list_summation
list_summation:right-to-left
7, 4, 8, 2
8+2=10 ; 4+10=14 ; 7+14=21
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 5, 1, 6
[7,3,5,1,6] ; [7,6,5,1,3] ; [3,6,5,1,7] ; [6,3,5,1,7] ; [1,3,5,6,7] ; [5,3,1,6,7] ; [1,3,5,6,7] ; [3,1,5,6,7] ; [1,3,5,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
218+991
d2:8+1+0=9→w9,c0 ; d1:1+9+0=10→w0,c1 ; d0:2+9+1=12→w2,c1 ; sum=1209
sorting_algorithms
sorting_algorithms:heap-sort
9, 4, 3, 1, 6
[9,6,3,1,4] ; [4,6,3,1,9] ; [6,4,3,1,9] ; [1,4,3,6,9] ; [4,1,3,6,9] ; [3,1,4,6,9] ; [1,3,4,6,9]
base_conversion
base_conversion:repeated-division
n=98,base=16
DIV:98/16=6,r:2 ; DIV:6/16=0,r:6 ; OUT:62
list_summation
list_summation:right-to-left
3, 2, 6, 0
6+0=6 ; 2+6=8 ; 3+8=11
multidigit_addition
multidigit_addition:right-to-left-carry
950+882
d2:0+2+0=2→w2,c0 ; d1:5+8+0=13→w3,c1 ; d0:9+8+1=18→w8,c1 ; sum=1832
base_conversion
base_conversion:decomposition
n=248,base=16
TERM:15*16^1=240 ; TERM:8*16^0=8 ; OUT:F8
base_conversion
base_conversion:repeated-division
n=232,base=2
DIV:232/2=116,r:0 ; DIV:116/2=58,r:0 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11101000
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(5,4)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,3)
R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
230+910
round:230+910=1140 ; adjust:1140-0=1140 ; sum=1140
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(5,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
5, 4, 9, 1, 3
[4,5,9,1,3] ; [4,5,1,9,3] ; [1,4,5,9,3] ; [1,3,4,5,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-6=48
6x-6=48 ; x+-1=8 ; x=8--1 ; x=9
sorting_algorithms
sorting_algorithms:bubble-sort
2, 6, 9, 7, 3
[2,6,7,9,3] ; [2,6,7,3,9] ; [2,6,3,7,9] ; [2,3,6,7,9]
list_summation
list_summation:left-to-right
3, 3, 9, 9
3+3=6 ; 6+9=15 ; 15+9=24
list_summation
list_summation:pairwise
7, 8, 4, 2
7+8=15 ; 4+2=6 ; 15+6=21
base_conversion
base_conversion:decomposition
n=215,base=16
TERM:13*16^1=208 ; TERM:7*16^0=7 ; OUT:D7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(3,3)
R:(1,3) ; D:(2,3) ; D:(3,3)
list_summation
list_summation:left-to-right
1, 9, 5, 0
1+9=10 ; 10+5=15 ; 15+0=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(4,4)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-35=-42
7x-35=-42 ; x+-5=-6 ; x=-6--5 ; x=-1
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 4, 3, 9
[5,7,4,3,9] ; [4,5,7,3,9] ; [3,4,5,7,9] ; [3,4,5,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
674+104
round:680+104=784 ; adjust:784-6=778 ; sum=778
list_summation
list_summation:right-to-left
5, 1, 3, 3
3+3=6 ; 1+6=7 ; 5+7=12
multidigit_addition
multidigit_addition:rounding-decomposition
589+877
round:590+877=1467 ; adjust:1467-1=1466 ; sum=1466
multidigit_addition
multidigit_addition:left-to-right-partials
173+834
p100:100+800=900 ; p10:70+30=100 ; p1:3+4=7 ; sum=900+100+7=1007
base_conversion
base_conversion:repeated-division
n=29,base=8
DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:35
sorting_algorithms
sorting_algorithms:selection-sort
2, 5, 1, 9, 7
[1,5,2,9,7] ; [1,2,5,9,7] ; [1,2,5,9,7] ; [1,2,5,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+4=20
2x+4=20 ; x+2=10 ; x=10-2 ; x=8
list_summation
list_summation:left-to-right
3, 0, 3, 3
3+0=3 ; 3+3=6 ; 6+3=9
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 0, 2, 4
[0,1,6,2,4] ; [0,1,6,2,4] ; [0,1,2,6,4] ; [0,1,2,4,6]
base_conversion
base_conversion:decomposition
n=182,base=16
TERM:11*16^1=176 ; TERM:6*16^0=6 ; OUT:B6
multidigit_addition
multidigit_addition:rounding-decomposition
851+674
round:860+674=1534 ; adjust:1534-9=1525 ; sum=1525
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,5)
D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
sorting_algorithms
sorting_algorithms:merge-sort
0, 4, 8, 5, 3
[0,4,5,8,3] ; [0,3,4,5,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=28
4x+36=28 ; x+9=7 ; x=7-9 ; x=-2
list_summation
list_summation:right-to-left
5, 4, 1, 1
1+1=2 ; 4+2=6 ; 5+6=11
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+20=12
4x+20=12 ; x+5=3 ; x=3-5 ; x=-2
base_conversion
base_conversion:via-binary
n=248,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11111000
list_summation
list_summation:pairwise
1, 1, 4, 5
1+1=2 ; 4+5=9 ; 2+9=11
base_conversion
base_conversion:repeated-division
n=182,base=8
DIV:182/8=22,r:6 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:266
sorting_algorithms
sorting_algorithms:heap-sort
1, 0, 2, 8, 5
[1,8,2,0,5] ; [8,1,2,0,5] ; [8,5,2,0,1] ; [1,5,2,0,8] ; [5,1,2,0,8] ; [0,1,2,5,8] ; [2,1,0,5,8] ; [0,1,2,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 0, 9, 4, 1
[0,2,9,4,1] ; [0,2,4,9,1] ; [0,2,4,1,9] ; [0,2,1,4,9] ; [0,1,2,4,9]
list_summation
list_summation:pairwise
6, 3, 3, 3
6+3=9 ; 3+3=6 ; 9+6=15
base_conversion
base_conversion:repeated-division
n=130,base=16
DIV:130/16=8,r:2 ; DIV:8/16=0,r:8 ; OUT:82
sorting_algorithms
sorting_algorithms:bubble-sort
8, 2, 7, 5, 3
[2,8,7,5,3] ; [2,7,8,5,3] ; [2,7,5,8,3] ; [2,7,5,3,8] ; [2,5,7,3,8] ; [2,5,3,7,8] ; [2,3,5,7,8]
list_summation
list_summation:left-to-right
6, 7, 6, 6
6+7=13 ; 13+6=19 ; 19+6=25
base_conversion
base_conversion:repeated-division
n=10,base=16
DIV:10/16=0,r:10 ; OUT:A
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,5)
D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(3,2)
R:(1,2) ; D:(2,2) ; D:(3,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)