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=149,base=2
DIV:149/2=74,r:1 ; DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010101
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-40=-96
8x-40=-96 ; x+-5=-12 ; x=-12--5 ; x=-7
base_conversion
base_conversion:repeated-division
n=242,base=4
DIV:242/4=60,r:2 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3302
linear_equation_solving
linear_equation_solving:inverse-ops
4x+4=24
4x+4=24 ; x=(24-4)/4 ; x=20/4 ; x=5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(2,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-24=-52
4x-24=-52 ; 4x=-28 ; x=-7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-7=-35
7x-7=-35 ; x+-1=-5 ; x=-5--1 ; x=-4
base_conversion
base_conversion:via-binary
n=18,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:2 ; OUT:22
linear_equation_solving
linear_equation_solving:inverse-ops
7x-35=14
7x-35=14 ; x=(14--35)/7 ; x=49/7 ; x=7
sorting_algorithms
sorting_algorithms:selection-sort
3, 7, 6, 0, 4
[0,7,6,3,4] ; [0,3,6,7,4] ; [0,3,4,7,6] ; [0,3,4,6,7]
sorting_algorithms
sorting_algorithms:bubble-sort
7, 1, 3, 5, 2
[1,7,3,5,2] ; [1,3,7,5,2] ; [1,3,5,7,2] ; [1,3,5,2,7] ; [1,3,2,5,7] ; [1,2,3,5,7]
list_summation
list_summation:pairwise
7, 3, 8, 3
7+3=10 ; 8+3=11 ; 10+11=21
base_conversion
base_conversion:via-binary
n=1,base=2
BINLEN:1 ; CHUNK:0:1 ; OUT:1
sorting_algorithms
sorting_algorithms:heap-sort
0, 7, 5, 9, 8
[0,9,5,7,8] ; [9,0,5,7,8] ; [9,8,5,7,0] ; [0,8,5,7,9] ; [8,0,5,7,9] ; [8,7,5,0,9] ; [0,7,5,8,9] ; [7,0,5,8,9] ; [5,0,7,8,9] ; [0,5,7,8,9]
base_conversion
base_conversion:decomposition
n=6,base=16
TERM:6*16^0=6 ; OUT:6
base_conversion
base_conversion:repeated-division
n=106,base=8
DIV:106/8=13,r:2 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:152
sorting_algorithms
sorting_algorithms:bubble-sort
6, 7, 0, 9, 4
[6,0,7,9,4] ; [6,0,7,4,9] ; [0,6,7,4,9] ; [0,6,4,7,9] ; [0,4,6,7,9]
list_summation
list_summation:right-to-left
4, 2, 7, 7
7+7=14 ; 2+14=16 ; 4+16=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
9, 8, 0, 5, 1
[8,9,0,5,1] ; [0,8,9,5,1] ; [0,5,8,9,1] ; [0,1,5,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
264+275
round:270+275=545 ; adjust:545-6=539 ; sum=539
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-30=-70
5x-30=-70 ; x+-6=-14 ; x=-14--6 ; x=-8
list_summation
list_summation:right-to-left
7, 9, 5, 1
5+1=6 ; 9+6=15 ; 7+15=22
list_summation
list_summation:pairwise
2, 4, 2, 8
2+4=6 ; 2+8=10 ; 6+10=16
list_summation
list_summation:left-to-right
7, 1, 5, 7
7+1=8 ; 8+5=13 ; 13+7=20
base_conversion
base_conversion:via-binary
n=162,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2202
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
base_conversion
base_conversion:repeated-division
n=234,base=8
DIV:234/8=29,r:2 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:352
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)
multidigit_addition
multidigit_addition:left-to-right-partials
451+190
p100:400+100=500 ; p10:50+90=140 ; p1:1+0=1 ; sum=500+140+1=641
list_summation
list_summation:right-to-left
4, 6, 3, 4
3+4=7 ; 6+7=13 ; 4+13=17
sorting_algorithms
sorting_algorithms:selection-sort
4, 2, 9, 6, 3
[2,4,9,6,3] ; [2,3,9,6,4] ; [2,3,4,6,9] ; [2,3,4,6,9]
base_conversion
base_conversion:repeated-division
n=161,base=2
DIV:161/2=80,r:1 ; DIV:80/2=40,r:0 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10100001
list_summation
list_summation:pairwise
6, 9, 3, 2
6+9=15 ; 3+2=5 ; 15+5=20
list_summation
list_summation:pairwise
8, 9, 2, 3
8+9=17 ; 2+3=5 ; 17+5=22
multidigit_addition
multidigit_addition:right-to-left-carry
929+215
d2:9+5+0=14→w4,c1 ; d1:2+1+1=4→w4,c0 ; d0:9+2+0=11→w1,c1 ; sum=1144
list_summation
list_summation:right-to-left
3, 9, 9, 1
9+1=10 ; 9+10=19 ; 3+19=22
sorting_algorithms
sorting_algorithms:selection-sort
6, 3, 7, 2, 9
[2,3,7,6,9] ; [2,3,7,6,9] ; [2,3,6,7,9] ; [2,3,6,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
1, 6, 5, 3, 0
[1,5,6,3,0] ; [1,5,3,6,0] ; [1,5,3,0,6] ; [1,3,5,0,6] ; [1,3,0,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6]
sorting_algorithms
sorting_algorithms:heap-sort
7, 5, 2, 3, 6
[7,6,2,3,5] ; [5,6,2,3,7] ; [6,5,2,3,7] ; [3,5,2,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,5)
R:(2,4) ; R:(2,5) ; D:(3,5)
list_summation
list_summation:right-to-left
8, 3, 7, 8
7+8=15 ; 3+15=18 ; 8+18=26
multidigit_addition
multidigit_addition:left-to-right-partials
597+186
p100:500+100=600 ; p10:90+80=170 ; p1:7+6=13 ; sum=600+170+13=783
sorting_algorithms
sorting_algorithms:bubble-sort
0, 1, 6, 8, 4
[0,1,6,4,8] ; [0,1,4,6,8]
base_conversion
base_conversion:via-binary
n=172,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10101100
base_conversion
base_conversion:repeated-division
n=73,base=16
DIV:73/16=4,r:9 ; DIV:4/16=0,r:4 ; OUT:49
base_conversion
base_conversion:via-binary
n=82,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1010010
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(2,4)
D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4)
sorting_algorithms
sorting_algorithms:heap-sort
2, 9, 7, 8, 1
[9,2,7,8,1] ; [9,8,7,2,1] ; [1,8,7,2,9] ; [8,1,7,2,9] ; [8,2,7,1,9] ; [1,2,7,8,9] ; [7,2,1,8,9] ; [1,2,7,8,9] ; [2,1,7,8,9] ; [1,2,7,8,9]
list_summation
list_summation:left-to-right
3, 3, 5, 2
3+3=6 ; 6+5=11 ; 11+2=13
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
multidigit_addition
multidigit_addition:rounding-decomposition
981+367
round:990+367=1357 ; adjust:1357-9=1348 ; sum=1348
base_conversion
base_conversion:repeated-division
n=155,base=4
DIV:155/4=38,r:3 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2123
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-12=42
6x-12=42 ; x+-2=7 ; x=7--2 ; x=9
sorting_algorithms
sorting_algorithms:selection-sort
9, 3, 1, 6, 0
[0,3,1,6,9] ; [0,1,3,6,9] ; [0,1,3,6,9] ; [0,1,3,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(4,2)
D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2)
list_summation
list_summation:right-to-left
6, 7, 2, 1
2+1=3 ; 7+3=10 ; 6+10=16
base_conversion
base_conversion:via-binary
n=202,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:312
sorting_algorithms
sorting_algorithms:heap-sort
4, 3, 1, 2, 8
[4,8,1,2,3] ; [8,4,1,2,3] ; [3,4,1,2,8] ; [4,3,1,2,8] ; [2,3,1,4,8] ; [3,2,1,4,8] ; [1,2,3,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8]
sorting_algorithms
sorting_algorithms:merge-sort
9, 8, 0, 3, 2
[8,9,0,3,2] ; [0,3,8,9,2] ; [0,2,3,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(4,3)
R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:rounding-decomposition
716+418
round:720+418=1138 ; adjust:1138-4=1134 ; sum=1134
base_conversion
base_conversion:decomposition
n=239,base=16
TERM:14*16^1=224 ; TERM:15*16^0=15 ; OUT:EF
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)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(4,5)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
2, 0, 6, 7, 1
[0,2,6,7,1] ; [0,2,6,7,1] ; [0,2,6,7,1] ; [0,1,2,6,7]
list_summation
list_summation:left-to-right
0, 9, 3, 4
0+9=9 ; 9+3=12 ; 12+4=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:via-binary
n=68,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1000100
multidigit_addition
multidigit_addition:rounding-decomposition
480+974
round:480+974=1454 ; adjust:1454-0=1454 ; sum=1454
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(3,3)
R:(1,3) ; D:(2,3) ; D:(3,3)
base_conversion
base_conversion:via-binary
n=202,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11001010
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
base_conversion
base_conversion:via-binary
n=96,base=16
BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:0 ; OUT:60
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 6, 8, 3
[2,6,7,8,3] ; [2,6,7,3,8] ; [2,6,3,7,8] ; [2,3,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+63=144
9x+63=144 ; 9x=81 ; x=9
multidigit_addition
multidigit_addition:left-to-right-partials
592+733
p100:500+700=1200 ; p10:90+30=120 ; p1:2+3=5 ; sum=1200+120+5=1325
sorting_algorithms
sorting_algorithms:bubble-sort
1, 7, 0, 5, 4
[1,0,7,5,4] ; [1,0,5,7,4] ; [1,0,5,4,7] ; [0,1,5,4,7] ; [0,1,4,5,7]
linear_equation_solving
linear_equation_solving:inverse-ops
3x-21=-15
3x-21=-15 ; x=(-15--21)/3 ; x=6/3 ; x=2
sorting_algorithms
sorting_algorithms:insertion-sort
9, 5, 4, 2, 0
[5,9,4,2,0] ; [4,5,9,2,0] ; [2,4,5,9,0] ; [0,2,4,5,9]
base_conversion
base_conversion:repeated-division
n=250,base=16
DIV:250/16=15,r:10 ; DIV:15/16=0,r:15 ; OUT:FA
list_summation
list_summation:right-to-left
3, 6, 6, 3
6+3=9 ; 6+9=15 ; 3+15=18
list_summation
list_summation:pairwise
0, 3, 5, 1
0+3=3 ; 5+1=6 ; 3+6=9
sorting_algorithms
sorting_algorithms:selection-sort
9, 5, 6, 0, 8
[0,5,6,9,8] ; [0,5,6,9,8] ; [0,5,6,9,8] ; [0,5,6,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
8x+48=56
8x+48=56 ; x=(56-48)/8 ; x=8/8 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
305+140
round:310+140=450 ; adjust:450-5=445 ; sum=445
sorting_algorithms
sorting_algorithms:merge-sort
7, 1, 3, 2, 0
[1,7,3,2,0] ; [1,7,2,3,0] ; [1,2,3,7,0] ; [0,1,2,3,7]
base_conversion
base_conversion:via-binary
n=1,base=16
BINLEN:1 ; CHUNK:0:1 ; OUT:1
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-12=18
6x-12=18 ; x+-2=3 ; x=3--2 ; x=5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
multidigit_addition
multidigit_addition:left-to-right-partials
726+151
p100:700+100=800 ; p10:20+50=70 ; p1:6+1=7 ; sum=800+70+7=877
list_summation
list_summation:left-to-right
0, 2, 7, 6
0+2=2 ; 2+7=9 ; 9+6=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:insertion-sort
5, 4, 9, 7, 8
[4,5,9,7,8] ; [4,5,9,7,8] ; [4,5,7,9,8] ; [4,5,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(1,5)
R:(0,4) ; R:(0,5) ; D:(1,5)
base_conversion
base_conversion:via-binary
n=244,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3310
multidigit_addition
multidigit_addition:left-to-right-partials
765+729
p100:700+700=1400 ; p10:60+20=80 ; p1:5+9=14 ; sum=1400+80+14=1494
sorting_algorithms
sorting_algorithms:merge-sort
8, 5, 4, 0, 9
[5,8,4,0,9] ; [5,8,0,4,9] ; [0,4,5,8,9]