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:decomposition
n=65,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:1001
multidigit_addition
multidigit_addition:left-to-right-partials
196+687
p100:100+600=700 ; p10:90+80=170 ; p1:6+7=13 ; sum=700+170+13=883
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=16
8x-48=16 ; x+-6=2 ; x=2--6 ; x=8
base_conversion
base_conversion:decomposition
n=151,base=16
TERM:9*16^1=144 ; TERM:7*16^0=7 ; OUT:97
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+21=35
7x+21=35 ; 7x=14 ; x=2
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+0=3
3x+0=3 ; x+0=1 ; x=1-0 ; x=1
sorting_algorithms
sorting_algorithms:merge-sort
5, 1, 4, 6, 3
[1,5,4,6,3] ; [1,4,5,6,3] ; [1,3,4,5,6]
base_conversion
base_conversion:repeated-division
n=22,base=16
DIV:22/16=1,r:6 ; DIV:1/16=0,r:1 ; OUT:16
multidigit_addition
multidigit_addition:left-to-right-partials
496+975
p100:400+900=1300 ; p10:90+70=160 ; p1:6+5=11 ; sum=1300+160+11=1471
list_summation
list_summation:left-to-right
7, 8, 4, 5
7+8=15 ; 15+4=19 ; 19+5=24
multidigit_addition
multidigit_addition:left-to-right-partials
258+580
p100:200+500=700 ; p10:50+80=130 ; p1:8+0=8 ; sum=700+130+8=838
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(5,4)
D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:right-to-left-carry
934+296
d2:4+6+0=10→w0,c1 ; d1:3+9+1=13→w3,c1 ; d0:9+2+1=12→w2,c1 ; sum=1230
linear_equation_solving
linear_equation_solving:inverse-ops
3x+0=12
3x+0=12 ; x=(12-0)/3 ; x=12/3 ; x=4
base_conversion
base_conversion:decomposition
n=239,base=4
TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3233
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+15=40
5x+15=40 ; 5x=25 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
275+950
p100:200+900=1100 ; p10:70+50=120 ; p1:5+0=5 ; sum=1100+120+5=1225
base_conversion
base_conversion:decomposition
n=244,base=8
TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:364
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+27=18
9x+27=18 ; x+3=2 ; x=2-3 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
710+221
round:710+221=931 ; adjust:931-0=931 ; sum=931
multidigit_addition
multidigit_addition:right-to-left-carry
104+315
d2:4+5+0=9→w9,c0 ; d1:0+1+0=1→w1,c0 ; d0:1+3+0=4→w4,c0 ; sum=419
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
list_summation
list_summation:pairwise
9, 2, 9, 0
9+2=11 ; 9+0=9 ; 11+9=20
base_conversion
base_conversion:repeated-division
n=93,base=2
DIV:93/2=46,r:1 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011101
list_summation
list_summation:left-to-right
1, 3, 0, 2
1+3=4 ; 4+0=4 ; 4+2=6
list_summation
list_summation:pairwise
9, 4, 4, 7
9+4=13 ; 4+7=11 ; 13+11=24
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:selection-sort
7, 5, 6, 4, 1
[1,5,6,4,7] ; [1,4,6,5,7] ; [1,4,5,6,7] ; [1,4,5,6,7]
base_conversion
base_conversion:via-binary
n=161,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:1 ; OUT:A1
list_summation
list_summation:left-to-right
7, 5, 8, 0
7+5=12 ; 12+8=20 ; 20+0=20
base_conversion
base_conversion:decomposition
n=148,base=16
TERM:9*16^1=144 ; TERM:4*16^0=4 ; OUT:94
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 2, 4, 9
[5,7,2,4,9] ; [2,5,7,4,9] ; [2,4,5,7,9] ; [2,4,5,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
6, 5, 8, 1, 7
[5,6,8,1,7] ; [5,6,1,8,7] ; [5,6,1,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:right-to-left-carry
351+384
d2:1+4+0=5→w5,c0 ; d1:5+8+0=13→w3,c1 ; d0:3+3+1=7→w7,c0 ; sum=735
list_summation
list_summation:left-to-right
8, 0, 0, 4
8+0=8 ; 8+0=8 ; 8+4=12
list_summation
list_summation:pairwise
7, 8, 2, 2
7+8=15 ; 2+2=4 ; 15+4=19
sorting_algorithms
sorting_algorithms:heap-sort
8, 5, 6, 4, 1
[1,5,6,4,8] ; [6,5,1,4,8] ; [4,5,1,6,8] ; [5,4,1,6,8] ; [1,4,5,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8]
list_summation
list_summation:pairwise
8, 0, 6, 3
8+0=8 ; 6+3=9 ; 8+9=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+25=-5
5x+25=-5 ; x+5=-1 ; x=-1-5 ; x=-6
sorting_algorithms
sorting_algorithms:heap-sort
8, 0, 9, 5, 7
[8,7,9,5,0] ; [9,7,8,5,0] ; [0,7,8,5,9] ; [8,7,0,5,9] ; [5,7,0,8,9] ; [7,5,0,8,9] ; [0,5,7,8,9] ; [5,0,7,8,9] ; [0,5,7,8,9]
base_conversion
base_conversion:repeated-division
n=156,base=4
DIV:156/4=39,r:0 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2130
base_conversion
base_conversion:repeated-division
n=246,base=2
DIV:246/2=123,r:0 ; DIV:123/2=61,r:1 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; 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:11110110
base_conversion
base_conversion:via-binary
n=95,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1133
base_conversion
base_conversion:repeated-division
n=255,base=4
DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+0=4
2x+0=4 ; 2x=4 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:right-to-left-carry
412+853
d2:2+3+0=5→w5,c0 ; d1:1+5+0=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1265
linear_equation_solving
linear_equation_solving:inverse-ops
4x-16=0
4x-16=0 ; x=(0--16)/4 ; x=16/4 ; x=4
list_summation
list_summation:right-to-left
9, 3, 1, 6
1+6=7 ; 3+7=10 ; 9+10=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
base_conversion
base_conversion:via-binary
n=147,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:2103
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+12=6
2x+12=6 ; x+6=3 ; x=3-6 ; x=-3
multidigit_addition
multidigit_addition:rounding-decomposition
650+892
round:650+892=1542 ; adjust:1542-0=1542 ; sum=1542
base_conversion
base_conversion:decomposition
n=39,base=8
TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:47
sorting_algorithms
sorting_algorithms:merge-sort
6, 1, 4, 8, 2
[1,6,4,8,2] ; [1,4,6,8,2] ; [1,2,4,6,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:pairwise
2, 7, 0, 9
2+7=9 ; 0+9=9 ; 9+9=18
sorting_algorithms
sorting_algorithms:selection-sort
3, 2, 0, 8, 4
[0,2,3,8,4] ; [0,2,3,8,4] ; [0,2,3,8,4] ; [0,2,3,4,8]
list_summation
list_summation:pairwise
0, 0, 4, 1
0+0=0 ; 4+1=5 ; 0+5=5
multidigit_addition
multidigit_addition:right-to-left-carry
164+762
d2:4+2+0=6→w6,c0 ; d1:6+6+0=12→w2,c1 ; d0:1+7+1=9→w9,c0 ; sum=926
base_conversion
base_conversion:via-binary
n=137,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2021
multidigit_addition
multidigit_addition:rounding-decomposition
420+706
round:420+706=1126 ; adjust:1126-0=1126 ; sum=1126
base_conversion
base_conversion:via-binary
n=143,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:217
list_summation
list_summation:left-to-right
2, 7, 9, 3
2+7=9 ; 9+9=18 ; 18+3=21
sorting_algorithms
sorting_algorithms:selection-sort
6, 0, 4, 3, 5
[0,6,4,3,5] ; [0,3,4,6,5] ; [0,3,4,6,5] ; [0,3,4,5,6]
multidigit_addition
multidigit_addition:right-to-left-carry
962+105
d2:2+5+0=7→w7,c0 ; d1:6+0+0=6→w6,c0 ; d0:9+1+0=10→w0,c1 ; sum=1067
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+35=56
7x+35=56 ; 7x=21 ; x=3
sorting_algorithms
sorting_algorithms:merge-sort
5, 3, 1, 6, 4
[3,5,1,6,4] ; [1,3,5,6,4] ; [1,3,4,5,6]
multidigit_addition
multidigit_addition:right-to-left-carry
767+153
d2:7+3+0=10→w0,c1 ; d1:6+5+1=12→w2,c1 ; d0:7+1+1=9→w9,c0 ; sum=920
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,5)
D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=198,base=4
TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3012
sorting_algorithms
sorting_algorithms:merge-sort
7, 9, 0, 3, 2
[0,3,7,9,2] ; [0,2,3,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,2)
R:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:left-to-right
7, 1, 1, 5
7+1=8 ; 8+1=9 ; 9+5=14
base_conversion
base_conversion:via-binary
n=169,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2221
sorting_algorithms
sorting_algorithms:heap-sort
3, 2, 9, 7, 0
[3,7,9,2,0] ; [9,7,3,2,0] ; [0,7,3,2,9] ; [7,0,3,2,9] ; [7,2,3,0,9] ; [0,2,3,7,9] ; [3,2,0,7,9] ; [0,2,3,7,9] ; [2,0,3,7,9] ; [0,2,3,7,9]
list_summation
list_summation:right-to-left
9, 6, 1, 3
1+3=4 ; 6+4=10 ; 9+10=19
multidigit_addition
multidigit_addition:right-to-left-carry
360+446
d2:0+6+0=6→w6,c0 ; d1:6+4+0=10→w0,c1 ; d0:3+4+1=8→w8,c0 ; sum=806
list_summation
list_summation:pairwise
3, 5, 1, 2
3+5=8 ; 1+2=3 ; 8+3=11
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+9=9
9x+9=9 ; 9x=0 ; x=0
base_conversion
base_conversion:via-binary
n=11,base=8
BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13
list_summation
list_summation:left-to-right
4, 1, 7, 5
4+1=5 ; 5+7=12 ; 12+5=17
base_conversion
base_conversion:via-binary
n=164,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10100100
base_conversion
base_conversion:repeated-division
n=54,base=4
DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:312
linear_equation_solving
linear_equation_solving:inverse-ops
5x+30=5
5x+30=5 ; x=(5-30)/5 ; x=-25/5 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
267+843
round:270+843=1113 ; adjust:1113-3=1110 ; sum=1110
base_conversion
base_conversion:via-binary
n=120,base=16
BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:8 ; OUT:78
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5)
multidigit_addition
multidigit_addition:left-to-right-partials
292+637
p100:200+600=800 ; p10:90+30=120 ; p1:2+7=9 ; sum=800+120+9=929
sorting_algorithms
sorting_algorithms:insertion-sort
7, 4, 0, 6, 1
[4,7,0,6,1] ; [0,4,7,6,1] ; [0,4,6,7,1] ; [0,1,4,6,7]
base_conversion
base_conversion:repeated-division
n=25,base=8
DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:31
base_conversion
base_conversion:via-binary
n=114,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1302
base_conversion
base_conversion:repeated-division
n=4,base=16
DIV:4/16=0,r:4 ; OUT:4
base_conversion
base_conversion:via-binary
n=105,base=16
BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:9 ; OUT:69
multidigit_addition
multidigit_addition:left-to-right-partials
326+671
p100:300+600=900 ; p10:20+70=90 ; p1:6+1=7 ; sum=900+90+7=997
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,5)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)