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
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(4,2)
R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2)
multidigit_addition
multidigit_addition:right-to-left-carry
307+898
d2:7+8+0=15→w5,c1 ; d1:0+9+1=10→w0,c1 ; d0:3+8+1=12→w2,c1 ; sum=1205
base_conversion
base_conversion:decomposition
n=194,base=16
TERM:12*16^1=192 ; TERM:2*16^0=2 ; OUT:C2
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+12=24
3x+12=24 ; 3x=12 ; x=4
multidigit_addition
multidigit_addition:right-to-left-carry
298+544
d2:8+4+0=12→w2,c1 ; d1:9+4+1=14→w4,c1 ; d0:2+5+1=8→w8,c0 ; sum=842
sorting_algorithms
sorting_algorithms:selection-sort
4, 1, 8, 3, 0
[0,1,8,3,4] ; [0,1,8,3,4] ; [0,1,3,8,4] ; [0,1,3,4,8]
sorting_algorithms
sorting_algorithms:heap-sort
5, 4, 3, 6, 9
[5,9,3,6,4] ; [9,5,3,6,4] ; [9,6,3,5,4] ; [4,6,3,5,9] ; [6,4,3,5,9] ; [6,5,3,4,9] ; [4,5,3,6,9] ; [5,4,3,6,9] ; [3,4,5,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9]
sorting_algorithms
sorting_algorithms:heap-sort
3, 6, 7, 4, 9
[3,9,7,4,6] ; [9,3,7,4,6] ; [9,6,7,4,3] ; [3,6,7,4,9] ; [7,6,3,4,9] ; [4,6,3,7,9] ; [6,4,3,7,9] ; [3,4,6,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+6=30
6x+6=30 ; x+1=5 ; x=5-1 ; x=4
sorting_algorithms
sorting_algorithms:heap-sort
1, 7, 3, 9, 5
[1,9,3,7,5] ; [9,1,3,7,5] ; [9,7,3,1,5] ; [5,7,3,1,9] ; [7,5,3,1,9] ; [1,5,3,7,9] ; [5,1,3,7,9] ; [3,1,5,7,9] ; [1,3,5,7,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+9=0
9x+9=0 ; 9x=-9 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
997+344
round:1000+344=1344 ; adjust:1344-3=1341 ; sum=1341
multidigit_addition
multidigit_addition:left-to-right-partials
730+460
p100:700+400=1100 ; p10:30+60=90 ; p1:0+0=0 ; sum=1100+90+0=1190
list_summation
list_summation:left-to-right
1, 2, 4, 8
1+2=3 ; 3+4=7 ; 7+8=15
list_summation
list_summation:right-to-left
0, 5, 0, 6
0+6=6 ; 5+6=11 ; 0+11=11
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-36=-45
9x-36=-45 ; x+-4=-5 ; x=-5--4 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
607+827
round:610+827=1437 ; adjust:1437-3=1434 ; sum=1434
list_summation
list_summation:pairwise
6, 8, 8, 5
6+8=14 ; 8+5=13 ; 14+13=27
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(2,4)
R:(1,3) ; R:(1,4) ; D:(2,4)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 8, 6, 3, 4
[0,8,6,3,4] ; [0,6,8,3,4] ; [0,3,6,8,4] ; [0,3,4,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
149+588
d2:9+8+0=17→w7,c1 ; d1:4+8+1=13→w3,c1 ; d0:1+5+1=7→w7,c0 ; sum=737
list_summation
list_summation:left-to-right
7, 9, 7, 0
7+9=16 ; 16+7=23 ; 23+0=23
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-14=35
7x-14=35 ; x+-2=5 ; x=5--2 ; x=7
multidigit_addition
multidigit_addition:rounding-decomposition
280+631
round:280+631=911 ; adjust:911-0=911 ; sum=911
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+32=28
4x+32=28 ; 4x=-4 ; x=-1
base_conversion
base_conversion:repeated-division
n=254,base=8
DIV:254/8=31,r:6 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:376
list_summation
list_summation:right-to-left
0, 5, 3, 6
3+6=9 ; 5+9=14 ; 0+14=14
multidigit_addition
multidigit_addition:right-to-left-carry
419+179
d2:9+9+0=18→w8,c1 ; d1:1+7+1=9→w9,c0 ; d0:4+1+0=5→w5,c0 ; sum=598
list_summation
list_summation:left-to-right
5, 5, 9, 0
5+5=10 ; 10+9=19 ; 19+0=19
list_summation
list_summation:left-to-right
6, 9, 7, 8
6+9=15 ; 15+7=22 ; 22+8=30
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-12=-44
4x-12=-44 ; x+-3=-11 ; x=-11--3 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 6, 0, 8
[3,8,6,0,7] ; [8,3,6,0,7] ; [8,7,6,0,3] ; [3,7,6,0,8] ; [7,3,6,0,8] ; [0,3,6,7,8] ; [6,3,0,7,8] ; [0,3,6,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8]
list_summation
list_summation:right-to-left
2, 3, 2, 0
2+0=2 ; 3+2=5 ; 2+5=7
base_conversion
base_conversion:repeated-division
n=50,base=2
DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; 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:110010
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-36=-48
6x-36=-48 ; 6x=-12 ; x=-2
sorting_algorithms
sorting_algorithms:heap-sort
4, 7, 5, 0, 1
[7,4,5,0,1] ; [1,4,5,0,7] ; [5,4,1,0,7] ; [0,4,1,5,7] ; [4,0,1,5,7] ; [1,0,4,5,7] ; [0,1,4,5,7]
sorting_algorithms
sorting_algorithms:merge-sort
5, 1, 6, 4, 7
[1,5,6,4,7] ; [1,5,4,6,7] ; [1,4,5,6,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+54=108
9x+54=108 ; x+6=12 ; x=12-6 ; x=6
sorting_algorithms
sorting_algorithms:merge-sort
0, 7, 4, 8, 5
[0,4,7,8,5] ; [0,4,5,7,8]
base_conversion
base_conversion:decomposition
n=119,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1110111
base_conversion
base_conversion:decomposition
n=151,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2113
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(1,1)
R:(0,1) ; D:(1,1)
multidigit_addition
multidigit_addition:right-to-left-carry
328+611
d2:8+1+0=9→w9,c0 ; d1:2+1+0=3→w3,c0 ; d0:3+6+0=9→w9,c0 ; sum=939
base_conversion
base_conversion:via-binary
n=156,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:2130
multidigit_addition
multidigit_addition:rounding-decomposition
873+490
round:880+490=1370 ; adjust:1370-7=1363 ; sum=1363
multidigit_addition
multidigit_addition:left-to-right-partials
566+650
p100:500+600=1100 ; p10:60+50=110 ; p1:6+0=6 ; sum=1100+110+6=1216
multidigit_addition
multidigit_addition:left-to-right-partials
191+493
p100:100+400=500 ; p10:90+90=180 ; p1:1+3=4 ; sum=500+180+4=684
list_summation
list_summation:pairwise
9, 8, 1, 3
9+8=17 ; 1+3=4 ; 17+4=21
list_summation
list_summation:left-to-right
5, 9, 2, 8
5+9=14 ; 14+2=16 ; 16+8=24
base_conversion
base_conversion:decomposition
n=165,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10100101
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(3,4)
D:(3,3) ; R:(3,4)
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)
multidigit_addition
multidigit_addition:left-to-right-partials
293+563
p100:200+500=700 ; p10:90+60=150 ; p1:3+3=6 ; sum=700+150+6=856
multidigit_addition
multidigit_addition:rounding-decomposition
321+656
round:330+656=986 ; adjust:986-9=977 ; sum=977
base_conversion
base_conversion:via-binary
n=190,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:2332
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=83,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1103
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(1,2)
R:(0,2) ; D:(1,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-24=8
8x-24=8 ; 8x=32 ; x=4
linear_equation_solving
linear_equation_solving:inverse-ops
3x-6=-15
3x-6=-15 ; x=(-15--6)/3 ; x=-9/3 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-35=-30
5x-35=-30 ; x+-7=-6 ; x=-6--7 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,4)
D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)
base_conversion
base_conversion:repeated-division
n=95,base=4
DIV:95/4=23,r:3 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1133
linear_equation_solving
linear_equation_solving:inverse-ops
3x-27=-15
3x-27=-15 ; x=(-15--27)/3 ; x=12/3 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
141+601
p100:100+600=700 ; p10:40+0=40 ; p1:1+1=2 ; sum=700+40+2=742
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)
multidigit_addition
multidigit_addition:right-to-left-carry
970+333
d2:0+3+0=3→w3,c0 ; d1:7+3+0=10→w0,c1 ; d0:9+3+1=13→w3,c1 ; sum=1303
multidigit_addition
multidigit_addition:rounding-decomposition
833+851
round:840+851=1691 ; adjust:1691-7=1684 ; sum=1684
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+48=120
8x+48=120 ; 8x=72 ; x=9
sorting_algorithms
sorting_algorithms:bubble-sort
8, 3, 5, 6, 7
[3,8,5,6,7] ; [3,5,8,6,7] ; [3,5,6,8,7] ; [3,5,6,7,8]
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
8, 4, 9, 0, 6
[4,8,9,0,6] ; [4,8,0,9,6] ; [0,4,8,9,6] ; [0,4,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
373+403
p100:300+400=700 ; p10:70+0=70 ; p1:3+3=6 ; sum=700+70+6=776
sorting_algorithms
sorting_algorithms:heap-sort
9, 4, 8, 7, 5
[9,7,8,4,5] ; [5,7,8,4,9] ; [8,7,5,4,9] ; [4,7,5,8,9] ; [7,4,5,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
2, 9, 6, 4, 8
[2,9,4,6,8] ; [2,4,6,9,8] ; [2,4,6,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,4)
D:(4,3) ; R:(4,4)
list_summation
list_summation:left-to-right
1, 2, 3, 0
1+2=3 ; 3+3=6 ; 6+0=6
base_conversion
base_conversion:decomposition
n=20,base=2
TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10100
base_conversion
base_conversion:decomposition
n=23,base=2
TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+15=-30
5x+15=-30 ; 5x=-45 ; x=-9
sorting_algorithms
sorting_algorithms:heap-sort
8, 5, 9, 4, 6
[8,6,9,4,5] ; [9,6,8,4,5] ; [5,6,8,4,9] ; [8,6,5,4,9] ; [4,6,5,8,9] ; [6,4,5,8,9] ; [5,4,6,8,9] ; [4,5,6,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
7, 9, 3, 0, 6
[7,9,3,0,6] ; [3,7,9,0,6] ; [0,3,7,9,6] ; [0,3,6,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
442+493
d2:2+3+0=5→w5,c0 ; d1:4+9+0=13→w3,c1 ; d0:4+4+1=9→w9,c0 ; sum=935
multidigit_addition
multidigit_addition:right-to-left-carry
418+656
d2:8+6+0=14→w4,c1 ; d1:1+5+1=7→w7,c0 ; d0:4+6+0=10→w0,c1 ; sum=1074
multidigit_addition
multidigit_addition:rounding-decomposition
906+540
round:910+540=1450 ; adjust:1450-4=1446 ; sum=1446
multidigit_addition
multidigit_addition:right-to-left-carry
842+370
d2:2+0+0=2→w2,c0 ; d1:4+7+0=11→w1,c1 ; d0:8+3+1=12→w2,c1 ; sum=1212
multidigit_addition
multidigit_addition:right-to-left-carry
232+440
d2:2+0+0=2→w2,c0 ; d1:3+4+0=7→w7,c0 ; d0:2+4+0=6→w6,c0 ; sum=672
base_conversion
base_conversion:via-binary
n=5,base=16
BINLEN:3 ; CHUNK:0:5 ; OUT: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)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
605+293
p100:600+200=800 ; p10:0+90=90 ; p1:5+3=8 ; sum=800+90+8=898
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-12=-42
6x-12=-42 ; 6x=-30 ; x=-5
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(2,5)
D:(2,3) ; R:(2,4) ; R:(2,5)
base_conversion
base_conversion:decomposition
n=215,base=16
TERM:13*16^1=208 ; TERM:7*16^0=7 ; OUT:D7
list_summation
list_summation:left-to-right
0, 9, 3, 4
0+9=9 ; 9+3=12 ; 12+4=16
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
124+222
p100:100+200=300 ; p10:20+20=40 ; p1:4+2=6 ; sum=300+40+6=346
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)