Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
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1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-56=-24
8x-56=-24 ; x+-7=-3 ; x=-3--7 ; x=4
sorting_algorithms
sorting_algorithms:selection-sort
9, 0, 8, 6, 1
[0,9,8,6,1] ; [0,1,8,6,9] ; [0,1,6,8,9] ; [0,1,6,8,9]
base_conversion
base_conversion:repeated-division
n=239,base=4
DIV:239/4=59,r:3 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3233
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(3,5)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
4, 8, 0, 3
0+3=3 ; 8+3=11 ; 4+11=15
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+54=30
6x+54=30 ; 6x=-24 ; x=-4
sorting_algorithms
sorting_algorithms:insertion-sort
1, 0, 3, 7, 9
[0,1,3,7,9] ; [0,1,3,7,9] ; [0,1,3,7,9] ; [0,1,3,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
260+774
round:260+774=1034 ; adjust:1034-0=1034 ; sum=1034
list_summation
list_summation:pairwise
7, 7, 3, 8
7+7=14 ; 3+8=11 ; 14+11=25
list_summation
list_summation:pairwise
8, 9, 2, 8
8+9=17 ; 2+8=10 ; 17+10=27
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,3)
R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
803+590
d2:3+0+0=3→w3,c0 ; d1:0+9+0=9→w9,c0 ; d0:8+5+0=13→w3,c1 ; sum=1393
base_conversion
base_conversion:via-binary
n=124,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1330
sorting_algorithms
sorting_algorithms:selection-sort
3, 2, 1, 0, 7
[0,2,1,3,7] ; [0,1,2,3,7] ; [0,1,2,3,7] ; [0,1,2,3,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-24=-16
8x-24=-16 ; x+-3=-2 ; x=-2--3 ; x=1
sorting_algorithms
sorting_algorithms:merge-sort
9, 1, 3, 0, 6
[1,9,3,0,6] ; [1,9,0,3,6] ; [0,1,3,9,6] ; [0,1,3,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(3,4)
D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
base_conversion
base_conversion:decomposition
n=175,base=16
TERM:10*16^1=160 ; TERM:15*16^0=15 ; OUT:AF
sorting_algorithms
sorting_algorithms:merge-sort
5, 7, 2, 4, 8
[2,4,5,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,3)
D:(3,2) ; D:(4,2) ; R:(4,3)
linear_equation_solving
linear_equation_solving:inverse-ops
4x-36=-60
4x-36=-60 ; x=(-60--36)/4 ; x=-24/4 ; x=-6
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(4,4)
R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
base_conversion
base_conversion:repeated-division
n=248,base=2
DIV:248/2=124,r:0 ; DIV:124/2=62,r:0 ; 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:11111000
sorting_algorithms
sorting_algorithms:merge-sort
9, 6, 7, 8, 3
[6,9,7,8,3] ; [6,7,8,9,3] ; [3,6,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(4,5)
R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,3)
D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
multidigit_addition
multidigit_addition:rounding-decomposition
969+496
round:970+496=1466 ; adjust:1466-1=1465 ; sum=1465
sorting_algorithms
sorting_algorithms:selection-sort
8, 2, 3, 6, 7
[2,8,3,6,7] ; [2,3,8,6,7] ; [2,3,6,8,7] ; [2,3,6,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
3x-24=-3
3x-24=-3 ; x=(-3--24)/3 ; x=21/3 ; x=7
sorting_algorithms
sorting_algorithms:insertion-sort
0, 8, 5, 9, 2
[0,8,5,9,2] ; [0,5,8,9,2] ; [0,5,8,9,2] ; [0,2,5,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
998+752
d2:8+2+0=10→w0,c1 ; d1:9+5+1=15→w5,c1 ; d0:9+7+1=17→w7,c1 ; sum=1750
list_summation
list_summation:left-to-right
5, 6, 5, 7
5+6=11 ; 11+5=16 ; 16+7=23
list_summation
list_summation:left-to-right
4, 4, 4, 1
4+4=8 ; 8+4=12 ; 12+1=13
list_summation
list_summation:pairwise
0, 8, 0, 9
0+8=8 ; 0+9=9 ; 8+9=17
base_conversion
base_conversion:decomposition
n=51,base=8
TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:63
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:repeated-division
n=219,base=16
DIV:219/16=13,r:11 ; DIV:13/16=0,r:13 ; OUT:DB
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 9, 8, 2
[3,8,9,7,2] ; [9,8,3,7,2] ; [2,8,3,7,9] ; [8,2,3,7,9] ; [8,7,3,2,9] ; [2,7,3,8,9] ; [7,2,3,8,9] ; [3,2,7,8,9] ; [2,3,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
9x-36=-63
9x-36=-63 ; x=(-63--36)/9 ; x=-27/9 ; x=-3
multidigit_addition
multidigit_addition:rounding-decomposition
147+922
round:150+922=1072 ; adjust:1072-3=1069 ; sum=1069
multidigit_addition
multidigit_addition:rounding-decomposition
509+361
round:510+361=871 ; adjust:871-1=870 ; sum=870
linear_equation_solving
linear_equation_solving:inverse-ops
7x-14=-35
7x-14=-35 ; x=(-35--14)/7 ; x=-21/7 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-2=10
2x-2=10 ; x+-1=5 ; x=5--1 ; x=6
base_conversion
base_conversion:decomposition
n=163,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:2203
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:via-binary
n=180,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2310
base_conversion
base_conversion:decomposition
n=91,base=16
TERM:5*16^1=80 ; TERM:11*16^0=11 ; OUT:5B
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(4,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+27=99
9x+27=99 ; 9x=72 ; x=8
base_conversion
base_conversion:repeated-division
n=67,base=16
DIV:67/16=4,r:3 ; DIV:4/16=0,r:4 ; OUT:43
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; R:(2,3) ; D:(3,3)
base_conversion
base_conversion:repeated-division
n=110,base=8
DIV:110/8=13,r:6 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:156
list_summation
list_summation:right-to-left
8, 3, 6, 3
6+3=9 ; 3+9=12 ; 8+12=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+21=39
3x+21=39 ; 3x=18 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
list_summation
list_summation:pairwise
7, 0, 0, 8
7+0=7 ; 0+8=8 ; 7+8=15
multidigit_addition
multidigit_addition:right-to-left-carry
327+857
d2:7+7+0=14→w4,c1 ; d1:2+5+1=8→w8,c0 ; d0:3+8+0=11→w1,c1 ; sum=1184
sorting_algorithms
sorting_algorithms:bubble-sort
7, 6, 2, 9, 1
[6,7,2,9,1] ; [6,2,7,9,1] ; [6,2,7,1,9] ; [2,6,7,1,9] ; [2,6,1,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(2,5)
D:(2,4) ; R:(2,5)
multidigit_addition
multidigit_addition:right-to-left-carry
463+175
d2:3+5+0=8→w8,c0 ; d1:6+7+0=13→w3,c1 ; d0:4+1+1=6→w6,c0 ; sum=638
base_conversion
base_conversion:repeated-division
n=151,base=8
DIV:151/8=18,r:7 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:227
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-9=0
3x-9=0 ; x+-3=0 ; x=0--3 ; x=3
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:right-to-left
0, 4, 9, 5
9+5=14 ; 4+14=18 ; 0+18=18
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)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=150,base=2
DIV:150/2=75,r:0 ; 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:10010110
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(3,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
sorting_algorithms
sorting_algorithms:selection-sort
8, 1, 5, 7, 0
[0,1,5,7,8] ; [0,1,5,7,8] ; [0,1,5,7,8] ; [0,1,5,7,8]
list_summation
list_summation:left-to-right
0, 7, 4, 9
0+7=7 ; 7+4=11 ; 11+9=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(5,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
1, 4, 5, 3
1+4=5 ; 5+5=10 ; 10+3=13
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-10=-20
2x-10=-20 ; x+-5=-10 ; x=-10--5 ; x=-5
linear_equation_solving
linear_equation_solving:inverse-ops
7x-35=-91
7x-35=-91 ; x=(-91--35)/7 ; x=-56/7 ; x=-8
base_conversion
base_conversion:decomposition
n=9,base=8
TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:11
list_summation
list_summation:pairwise
2, 3, 2, 5
2+3=5 ; 2+5=7 ; 5+7=12
linear_equation_solving
linear_equation_solving:inverse-ops
7x-28=-35
7x-28=-35 ; x=(-35--28)/7 ; x=-7/7 ; x=-1
list_summation
list_summation:pairwise
0, 8, 4, 0
0+8=8 ; 4+0=4 ; 8+4=12
base_conversion
base_conversion:decomposition
n=86,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1112
multidigit_addition
multidigit_addition:right-to-left-carry
808+565
d2:8+5+0=13→w3,c1 ; d1:0+6+1=7→w7,c0 ; d0:8+5+0=13→w3,c1 ; sum=1373
list_summation
list_summation:pairwise
2, 7, 8, 0
2+7=9 ; 8+0=8 ; 9+8=17
sorting_algorithms
sorting_algorithms:insertion-sort
8, 7, 3, 6, 5
[7,8,3,6,5] ; [3,7,8,6,5] ; [3,6,7,8,5] ; [3,5,6,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
238+172
round:240+172=412 ; adjust:412-2=410 ; sum=410
multidigit_addition
multidigit_addition:right-to-left-carry
218+780
d2:8+0+0=8→w8,c0 ; d1:1+8+0=9→w9,c0 ; d0:2+7+0=9→w9,c0 ; sum=998
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(1,5)
R:(0,4) ; R:(0,5) ; D:(1,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
114+763
round:120+763=883 ; adjust:883-6=877 ; sum=877
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(1,5)
R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+0=-64
8x+0=-64 ; 8x=-64 ; x=-8
base_conversion
base_conversion:decomposition
n=95,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1133
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 8, 2, 3
[5,8,9,2,3] ; [5,8,2,9,3] ; [5,8,2,3,9] ; [5,2,8,3,9] ; [5,2,3,8,9] ; [2,5,3,8,9] ; [2,3,5,8,9]
base_conversion
base_conversion:repeated-division
n=38,base=8
DIV:38/8=4,r:6 ; DIV:4/8=0,r:4 ; OUT:46
base_conversion
base_conversion:repeated-division
n=244,base=8
DIV:244/8=30,r:4 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:364
multidigit_addition
multidigit_addition:left-to-right-partials
175+717
p100:100+700=800 ; p10:70+10=80 ; p1:5+7=12 ; sum=800+80+12=892
multidigit_addition
multidigit_addition:right-to-left-carry
599+517
d2:9+7+0=16→w6,c1 ; d1:9+1+1=11→w1,c1 ; d0:5+5+1=11→w1,c1 ; sum=1116