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
multidigit_addition
multidigit_addition:right-to-left-carry
802+804
d2:2+4+0=6→w6,c0 ; d1:0+0+0=0→w0,c0 ; d0:8+8+0=16→w6,c1 ; sum=1606
base_conversion
base_conversion:via-binary
n=102,base=16
BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:6 ; OUT:66
multidigit_addition
multidigit_addition:left-to-right-partials
262+552
p100:200+500=700 ; p10:60+50=110 ; p1:2+2=4 ; sum=700+110+4=814
multidigit_addition
multidigit_addition:left-to-right-partials
393+884
p100:300+800=1100 ; p10:90+80=170 ; p1:3+4=7 ; sum=1100+170+7=1277
linear_equation_solving
linear_equation_solving:inverse-ops
7x+63=56
7x+63=56 ; x=(56-63)/7 ; x=-7/7 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
787+127
round:790+127=917 ; adjust:917-3=914 ; sum=914
multidigit_addition
multidigit_addition:rounding-decomposition
870+362
round:870+362=1232 ; adjust:1232-0=1232 ; sum=1232
linear_equation_solving
linear_equation_solving:inverse-ops
2x-4=-8
2x-4=-8 ; x=(-8--4)/2 ; x=-4/2 ; x=-2
list_summation
list_summation:pairwise
3, 8, 0, 3
3+8=11 ; 0+3=3 ; 11+3=14
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
9, 6, 4, 3, 8
[6,9,4,3,8] ; [4,6,9,3,8] ; [3,4,6,9,8] ; [3,4,6,8,9]
list_summation
list_summation:left-to-right
0, 0, 9, 8
0+0=0 ; 0+9=9 ; 9+8=17
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+8=32
8x+8=32 ; 8x=24 ; x=3
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-49=-49
7x-49=-49 ; 7x=0 ; x=0
list_summation
list_summation:right-to-left
2, 2, 1, 0
1+0=1 ; 2+1=3 ; 2+3=5
sorting_algorithms
sorting_algorithms:bubble-sort
5, 0, 7, 8, 2
[0,5,7,8,2] ; [0,5,7,2,8] ; [0,5,2,7,8] ; [0,2,5,7,8]
list_summation
list_summation:left-to-right
3, 2, 3, 2
3+2=5 ; 5+3=8 ; 8+2=10
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(3,2)
R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2)
list_summation
list_summation:pairwise
8, 3, 7, 8
8+3=11 ; 7+8=15 ; 11+15=26
base_conversion
base_conversion:via-binary
n=53,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:110101
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:right-to-left
0, 7, 2, 6
2+6=8 ; 7+8=15 ; 0+15=15
sorting_algorithms
sorting_algorithms:insertion-sort
8, 9, 5, 4, 3
[8,9,5,4,3] ; [5,8,9,4,3] ; [4,5,8,9,3] ; [3,4,5,8,9]
list_summation
list_summation:left-to-right
7, 6, 3, 3
7+6=13 ; 13+3=16 ; 16+3=19
base_conversion
base_conversion:decomposition
n=206,base=8
TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:316
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,5)
D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
793+429
d2:3+9+0=12→w2,c1 ; d1:9+2+1=12→w2,c1 ; d0:7+4+1=12→w2,c1 ; sum=1222
multidigit_addition
multidigit_addition:right-to-left-carry
732+870
d2:2+0+0=2→w2,c0 ; d1:3+7+0=10→w0,c1 ; d0:7+8+1=16→w6,c1 ; sum=1602
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
base_conversion
base_conversion:repeated-division
n=62,base=4
DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:332
multidigit_addition
multidigit_addition:rounding-decomposition
711+557
round:720+557=1277 ; adjust:1277-9=1268 ; sum=1268
sorting_algorithms
sorting_algorithms:bubble-sort
6, 1, 7, 4, 0
[1,6,7,4,0] ; [1,6,4,7,0] ; [1,6,4,0,7] ; [1,4,6,0,7] ; [1,4,0,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
909+794
d2:9+4+0=13→w3,c1 ; d1:0+9+1=10→w0,c1 ; d0:9+7+1=17→w7,c1 ; sum=1703
base_conversion
base_conversion:decomposition
n=242,base=8
TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:362
sorting_algorithms
sorting_algorithms:insertion-sort
3, 1, 4, 7, 0
[1,3,4,7,0] ; [1,3,4,7,0] ; [1,3,4,7,0] ; [0,1,3,4,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=71,base=16
DIV:71/16=4,r:7 ; DIV:4/16=0,r:4 ; OUT:47
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-16=-28
4x-16=-28 ; 4x=-12 ; x=-3
sorting_algorithms
sorting_algorithms:selection-sort
5, 0, 9, 3, 7
[0,5,9,3,7] ; [0,3,9,5,7] ; [0,3,5,9,7] ; [0,3,5,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
9, 3, 6, 4, 7
[9,7,6,4,3] ; [3,7,6,4,9] ; [7,3,6,4,9] ; [7,4,6,3,9] ; [3,4,6,7,9] ; [6,4,3,7,9] ; [3,4,6,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9]
base_conversion
base_conversion:via-binary
n=182,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6
base_conversion
base_conversion:decomposition
n=67,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1003
linear_equation_solving
linear_equation_solving:inverse-ops
2x+10=6
2x+10=6 ; x=(6-10)/2 ; x=-4/2 ; x=-2
multidigit_addition
multidigit_addition:rounding-decomposition
164+320
round:170+320=490 ; adjust:490-6=484 ; sum=484
list_summation
list_summation:left-to-right
6, 9, 1, 5
6+9=15 ; 15+1=16 ; 16+5=21
base_conversion
base_conversion:decomposition
n=28,base=8
TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:34
linear_equation_solving
linear_equation_solving:inverse-ops
2x-12=-16
2x-12=-16 ; x=(-16--12)/2 ; x=-4/2 ; x=-2
sorting_algorithms
sorting_algorithms:bubble-sort
4, 0, 2, 8, 1
[0,4,2,8,1] ; [0,2,4,8,1] ; [0,2,4,1,8] ; [0,2,1,4,8] ; [0,1,2,4,8]
base_conversion
base_conversion:via-binary
n=231,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:7 ; OUT:E7
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-6=-12
3x-6=-12 ; 3x=-6 ; x=-2
base_conversion
base_conversion:decomposition
n=154,base=16
TERM:9*16^1=144 ; TERM:10*16^0=10 ; OUT:9A
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-45=-99
9x-45=-99 ; x+-5=-11 ; x=-11--5 ; x=-6
linear_equation_solving
linear_equation_solving:inverse-ops
6x+48=102
6x+48=102 ; x=(102-48)/6 ; x=54/6 ; x=9
multidigit_addition
multidigit_addition:right-to-left-carry
319+829
d2:9+9+0=18→w8,c1 ; d1:1+2+1=4→w4,c0 ; d0:3+8+0=11→w1,c1 ; sum=1148
sorting_algorithms
sorting_algorithms:bubble-sort
7, 6, 5, 4, 2
[6,7,5,4,2] ; [6,5,7,4,2] ; [6,5,4,7,2] ; [6,5,4,2,7] ; [5,6,4,2,7] ; [5,4,6,2,7] ; [5,4,2,6,7] ; [4,5,2,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7]
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 6, 3, 8
[3,4,6,7,8] ; [3,4,6,7,8] ; [3,4,6,7,8] ; [3,4,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-12=-6
3x-12=-6 ; 3x=6 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(4,5)
R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:via-binary
n=113,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1301
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
770+710
round:770+710=1480 ; adjust:1480-0=1480 ; sum=1480
base_conversion
base_conversion:repeated-division
n=154,base=4
DIV:154/4=38,r:2 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2122
base_conversion
base_conversion:via-binary
n=213,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:5 ; OUT:325
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-16=-8
8x-16=-8 ; x+-2=-1 ; x=-1--2 ; x=1
list_summation
list_summation:left-to-right
4, 0, 6, 8
4+0=4 ; 4+6=10 ; 10+8=18
base_conversion
base_conversion:via-binary
n=35,base=8
BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:3 ; OUT:43
multidigit_addition
multidigit_addition:left-to-right-partials
917+110
p100:900+100=1000 ; p10:10+10=20 ; p1:7+0=7 ; sum=1000+20+7=1027
base_conversion
base_conversion:repeated-division
n=98,base=8
DIV:98/8=12,r:2 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:142
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
782+514
d2:2+4+0=6→w6,c0 ; d1:8+1+0=9→w9,c0 ; d0:7+5+0=12→w2,c1 ; sum=1296
base_conversion
base_conversion:via-binary
n=246,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3312
base_conversion
base_conversion:via-binary
n=169,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10101001
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:decomposition
n=165,base=16
TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5
sorting_algorithms
sorting_algorithms:selection-sort
8, 2, 0, 7, 6
[0,2,8,7,6] ; [0,2,8,7,6] ; [0,2,6,7,8] ; [0,2,6,7,8]
list_summation
list_summation:right-to-left
7, 0, 0, 2
0+2=2 ; 0+2=2 ; 7+2=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:heap-sort
7, 0, 4, 5, 8
[7,8,4,5,0] ; [8,7,4,5,0] ; [0,7,4,5,8] ; [7,0,4,5,8] ; [7,5,4,0,8] ; [0,5,4,7,8] ; [5,0,4,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
216+862
p100:200+800=1000 ; p10:10+60=70 ; p1:6+2=8 ; sum=1000+70+8=1078
sorting_algorithms
sorting_algorithms:selection-sort
7, 5, 9, 4, 8
[4,5,9,7,8] ; [4,5,9,7,8] ; [4,5,7,9,8] ; [4,5,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
997+831
p100:900+800=1700 ; p10:90+30=120 ; p1:7+1=8 ; sum=1700+120+8=1828
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,2)
R:(2,2) ; D:(3,2)
multidigit_addition
multidigit_addition:right-to-left-carry
494+965
d2:4+5+0=9→w9,c0 ; d1:9+6+0=15→w5,c1 ; d0:4+9+1=14→w4,c1 ; sum=1459
multidigit_addition
multidigit_addition:right-to-left-carry
500+578
d2:0+8+0=8→w8,c0 ; d1:0+7+0=7→w7,c0 ; d0:5+5+0=10→w0,c1 ; sum=1078
sorting_algorithms
sorting_algorithms:merge-sort
0, 6, 4, 5, 8
[0,4,5,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
235+756
d2:5+6+0=11→w1,c1 ; d1:3+5+1=9→w9,c0 ; d0:2+7+0=9→w9,c0 ; sum=991
base_conversion
base_conversion:via-binary
n=118,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:166
multidigit_addition
multidigit_addition:rounding-decomposition
339+824
round:340+824=1164 ; adjust:1164-1=1163 ; sum=1163
base_conversion
base_conversion:decomposition
n=208,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3100
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(5,4)
R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
1, 7, 0, 3
1+7=8 ; 8+0=8 ; 8+3=11
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(1,4)
R:(0,4) ; D:(1,4)
multidigit_addition
multidigit_addition:rounding-decomposition
716+418
round:720+418=1138 ; adjust:1138-4=1134 ; sum=1134
sorting_algorithms
sorting_algorithms:heap-sort
2, 7, 4, 1, 3
[7,2,4,1,3] ; [7,3,4,1,2] ; [2,3,4,1,7] ; [4,3,2,1,7] ; [1,3,2,4,7] ; [3,1,2,4,7] ; [2,1,3,4,7] ; [1,2,3,4,7]
base_conversion
base_conversion:repeated-division
n=96,base=2
DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100000
list_summation
list_summation:pairwise
6, 3, 5, 7
6+3=9 ; 5+7=12 ; 9+12=21
multidigit_addition
multidigit_addition:rounding-decomposition
495+992
round:500+992=1492 ; adjust:1492-5=1487 ; sum=1487
multidigit_addition
multidigit_addition:left-to-right-partials
218+633
p100:200+600=800 ; p10:10+30=40 ; p1:8+3=11 ; sum=800+40+11=851
multidigit_addition
multidigit_addition:left-to-right-partials
640+703
p100:600+700=1300 ; p10:40+0=40 ; p1:0+3=3 ; sum=1300+40+3=1343