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=144,base=8
DIV:144/8=18,r:0 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:220
sorting_algorithms
sorting_algorithms:merge-sort
2, 0, 1, 5, 7
[0,2,1,5,7] ; [0,1,2,5,7]
linear_equation_solving
linear_equation_solving:inverse-ops
2x+10=-4
2x+10=-4 ; x=(-4-10)/2 ; x=-14/2 ; x=-7
multidigit_addition
multidigit_addition:right-to-left-carry
622+649
d2:2+9+0=11→w1,c1 ; d1:2+4+1=7→w7,c0 ; d0:6+6+0=12→w2,c1 ; sum=1271
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(3,4)
D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
base_conversion
base_conversion:repeated-division
n=75,base=2
DIV:75/2=37,r:1 ; 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:1001011
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-20=-55
5x-20=-55 ; 5x=-35 ; x=-7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
base_conversion
base_conversion:via-binary
n=242,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3302
list_summation
list_summation:pairwise
1, 3, 5, 9
1+3=4 ; 5+9=14 ; 4+14=18
list_summation
list_summation:right-to-left
4, 6, 9, 9
9+9=18 ; 6+18=24 ; 4+24=28
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(3,5)
D:(3,3) ; R:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:right-to-left-carry
203+188
d2:3+8+0=11→w1,c1 ; d1:0+8+1=9→w9,c0 ; d0:2+1+0=3→w3,c0 ; sum=391
base_conversion
base_conversion:via-binary
n=250,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:3322
sorting_algorithms
sorting_algorithms:insertion-sort
5, 1, 0, 4, 3
[1,5,0,4,3] ; [0,1,5,4,3] ; [0,1,4,5,3] ; [0,1,3,4,5]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
128+684
p100:100+600=700 ; p10:20+80=100 ; p1:8+4=12 ; sum=700+100+12=812
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
9, 7, 8, 1, 5
[7,9,8,1,5] ; [7,8,9,1,5] ; [1,7,8,9,5] ; [1,5,7,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
9, 6, 2, 3, 7
[2,6,9,3,7] ; [2,3,9,6,7] ; [2,3,6,9,7] ; [2,3,6,7,9]
list_summation
list_summation:right-to-left
6, 9, 4, 1
4+1=5 ; 9+5=14 ; 6+14=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+42=90
6x+42=90 ; x+7=15 ; x=15-7 ; x=8
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:rounding-decomposition
874+592
round:880+592=1472 ; adjust:1472-6=1466 ; sum=1466
base_conversion
base_conversion:repeated-division
n=70,base=8
DIV:70/8=8,r:6 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:106
list_summation
list_summation:pairwise
7, 0, 8, 2
7+0=7 ; 8+2=10 ; 7+10=17
list_summation
list_summation:left-to-right
9, 4, 8, 6
9+4=13 ; 13+8=21 ; 21+6=27
multidigit_addition
multidigit_addition:rounding-decomposition
624+323
round:630+323=953 ; adjust:953-6=947 ; sum=947
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,3)
R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:right-to-left-carry
646+732
d2:6+2+0=8→w8,c0 ; d1:4+3+0=7→w7,c0 ; d0:6+7+0=13→w3,c1 ; sum=1378
list_summation
list_summation:left-to-right
3, 7, 2, 2
3+7=10 ; 10+2=12 ; 12+2=14
sorting_algorithms
sorting_algorithms:insertion-sort
1, 2, 5, 3, 9
[1,2,5,3,9] ; [1,2,5,3,9] ; [1,2,3,5,9] ; [1,2,3,5,9]
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 0, 3, 5
[0,4,7,3,5] ; [0,3,7,4,5] ; [0,3,4,7,5] ; [0,3,4,5,7]
multidigit_addition
multidigit_addition:right-to-left-carry
938+682
d2:8+2+0=10→w0,c1 ; d1:3+8+1=12→w2,c1 ; d0:9+6+1=16→w6,c1 ; sum=1620
sorting_algorithms
sorting_algorithms:selection-sort
3, 1, 8, 2, 5
[1,3,8,2,5] ; [1,2,8,3,5] ; [1,2,3,8,5] ; [1,2,3,5,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+32=64
8x+32=64 ; 8x=32 ; x=4
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-20=10
5x-20=10 ; 5x=30 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(4,5)
D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
307+759
round:310+759=1069 ; adjust:1069-3=1066 ; sum=1066
base_conversion
base_conversion:repeated-division
n=33,base=4
DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:201
list_summation
list_summation:pairwise
6, 5, 3, 7
6+5=11 ; 3+7=10 ; 11+10=21
list_summation
list_summation:left-to-right
3, 6, 0, 2
3+6=9 ; 9+0=9 ; 9+2=11
base_conversion
base_conversion:repeated-division
n=207,base=4
DIV:207/4=51,r:3 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3033
base_conversion
base_conversion:decomposition
n=81,base=16
TERM:5*16^1=80 ; TERM:1*16^0=1 ; OUT:51
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
list_summation
list_summation:right-to-left
7, 7, 0, 4
0+4=4 ; 7+4=11 ; 7+11=18
multidigit_addition
multidigit_addition:left-to-right-partials
978+760
p100:900+700=1600 ; p10:70+60=130 ; p1:8+0=8 ; sum=1600+130+8=1738
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
5, 4, 9, 4
5+4=9 ; 9+9=18 ; 18+4=22
base_conversion
base_conversion:via-binary
n=213,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:5 ; OUT:D5
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+12=12
6x+12=12 ; 6x=0 ; x=0
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(5,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
1, 0, 8, 6, 2
[0,1,8,6,2] ; [0,1,6,8,2] ; [0,1,2,6,8]
sorting_algorithms
sorting_algorithms:merge-sort
9, 5, 6, 7, 1
[5,9,6,7,1] ; [5,6,7,9,1] ; [1,5,6,7,9]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-72=-90
9x-72=-90 ; x=(-90--72)/9 ; x=-18/9 ; x=-2
list_summation
list_summation:left-to-right
4, 4, 2, 9
4+4=8 ; 8+2=10 ; 10+9=19
multidigit_addition
multidigit_addition:right-to-left-carry
783+117
d2:3+7+0=10→w0,c1 ; d1:8+1+1=10→w0,c1 ; d0:7+1+1=9→w9,c0 ; sum=900
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,5)
R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
0, 9, 8, 6, 2
[0,8,9,6,2] ; [0,8,6,9,2] ; [0,8,6,2,9] ; [0,6,8,2,9] ; [0,6,2,8,9] ; [0,2,6,8,9]
base_conversion
base_conversion:repeated-division
n=164,base=4
DIV:164/4=41,r:0 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2210
base_conversion
base_conversion:decomposition
n=15,base=8
TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:17
multidigit_addition
multidigit_addition:right-to-left-carry
536+915
d2:6+5+0=11→w1,c1 ; d1:3+1+1=5→w5,c0 ; d0:5+9+0=14→w4,c1 ; sum=1451
sorting_algorithms
sorting_algorithms:heap-sort
3, 9, 1, 8, 0
[9,3,1,8,0] ; [9,8,1,3,0] ; [0,8,1,3,9] ; [8,0,1,3,9] ; [8,3,1,0,9] ; [0,3,1,8,9] ; [3,0,1,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(3,3)
D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3)
base_conversion
base_conversion:repeated-division
n=116,base=2
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:1110100
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-45=-9
9x-45=-9 ; 9x=36 ; x=4
base_conversion
base_conversion:repeated-division
n=142,base=2
DIV:142/2=71,r:0 ; DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001110
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(3,4)
R:(1,4) ; D:(2,4) ; D:(3,4)
list_summation
list_summation:right-to-left
2, 4, 7, 4
7+4=11 ; 4+11=15 ; 2+15=17
base_conversion
base_conversion:decomposition
n=130,base=16
TERM:8*16^1=128 ; TERM:2*16^0=2 ; OUT:82
sorting_algorithms
sorting_algorithms:selection-sort
5, 7, 4, 6, 3
[3,7,4,6,5] ; [3,4,7,6,5] ; [3,4,5,6,7] ; [3,4,5,6,7]
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 5, 1, 3
[2,9,5,1,3] ; [2,5,9,1,3] ; [2,5,1,9,3] ; [2,5,1,3,9] ; [2,1,5,3,9] ; [2,1,3,5,9] ; [1,2,3,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-35
7x-56=-35 ; x=(-35--56)/7 ; x=21/7 ; x=3
multidigit_addition
multidigit_addition:right-to-left-carry
411+118
d2:1+8+0=9→w9,c0 ; d1:1+1+0=2→w2,c0 ; d0:4+1+0=5→w5,c0 ; sum=529
list_summation
list_summation:right-to-left
3, 4, 4, 0
4+0=4 ; 4+4=8 ; 3+8=11
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; R:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(4,5)
D:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:heap-sort
5, 1, 0, 6, 3
[5,6,0,1,3] ; [6,5,0,1,3] ; [3,5,0,1,6] ; [5,3,0,1,6] ; [1,3,0,5,6] ; [3,1,0,5,6] ; [0,1,3,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6]
multidigit_addition
multidigit_addition:rounding-decomposition
531+790
round:540+790=1330 ; adjust:1330-9=1321 ; sum=1321
base_conversion
base_conversion:repeated-division
n=62,base=2
DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111110
sorting_algorithms
sorting_algorithms:insertion-sort
6, 3, 7, 2, 4
[3,6,7,2,4] ; [3,6,7,2,4] ; [2,3,6,7,4] ; [2,3,4,6,7]
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
list_summation
list_summation:left-to-right
0, 1, 7, 5
0+1=1 ; 1+7=8 ; 8+5=13
multidigit_addition
multidigit_addition:rounding-decomposition
299+987
round:300+987=1287 ; adjust:1287-1=1286 ; sum=1286
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
base_conversion
base_conversion:repeated-division
n=115,base=2
DIV:115/2=57,r:1 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:1110011
sorting_algorithms
sorting_algorithms:heap-sort
2, 7, 1, 0, 4
[7,2,1,0,4] ; [7,4,1,0,2] ; [2,4,1,0,7] ; [4,2,1,0,7] ; [0,2,1,4,7] ; [2,0,1,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7]
sorting_algorithms
sorting_algorithms:selection-sort
7, 9, 2, 1, 8
[1,9,2,7,8] ; [1,2,9,7,8] ; [1,2,7,9,8] ; [1,2,7,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
2, 6, 5, 7, 3
[2,7,5,6,3] ; [7,2,5,6,3] ; [7,6,5,2,3] ; [3,6,5,2,7] ; [6,3,5,2,7] ; [2,3,5,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7]
base_conversion
base_conversion:decomposition
n=108,base=16
TERM:6*16^1=96 ; TERM:12*16^0=12 ; OUT:6C
multidigit_addition
multidigit_addition:right-to-left-carry
512+313
d2:2+3+0=5→w5,c0 ; d1:1+1+0=2→w2,c0 ; d0:5+3+0=8→w8,c0 ; sum=825
base_conversion
base_conversion:decomposition
n=252,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3330
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(4,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
base_conversion
base_conversion:via-binary
n=22,base=16
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:6 ; OUT:16
sorting_algorithms
sorting_algorithms:selection-sort
3, 1, 0, 2, 9
[0,1,3,2,9] ; [0,1,3,2,9] ; [0,1,2,3,9] ; [0,1,2,3,9]
list_summation
list_summation:pairwise
8, 5, 2, 2
8+5=13 ; 2+2=4 ; 13+4=17
list_summation
list_summation:left-to-right
0, 0, 8, 4
0+0=0 ; 0+8=8 ; 8+4=12
linear_equation_solving
linear_equation_solving:inverse-ops
3x-6=-18
3x-6=-18 ; x=(-18--6)/3 ; x=-12/3 ; x=-4
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+5=-10
5x+5=-10 ; 5x=-15 ; x=-3