Datasets:
awni00
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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
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,4)
D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
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)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+16=88
8x+16=88 ; x=(88-16)/8 ; x=72/8 ; x=9
list_summation
list_summation:right-to-left
4, 4, 5, 0
5+0=5 ; 4+5=9 ; 4+9=13
base_conversion
base_conversion:decomposition
n=72,base=16
TERM:4*16^1=64 ; TERM:8*16^0=8 ; OUT:48
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,3)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
list_summation
list_summation:left-to-right
3, 1, 6, 6
3+1=4 ; 4+6=10 ; 10+6=16
sorting_algorithms
sorting_algorithms:insertion-sort
8, 1, 5, 3, 2
[1,8,5,3,2] ; [1,5,8,3,2] ; [1,3,5,8,2] ; [1,2,3,5,8]
list_summation
list_summation:left-to-right
8, 1, 5, 3
8+1=9 ; 9+5=14 ; 14+3=17
multidigit_addition
multidigit_addition:left-to-right-partials
513+115
p100:500+100=600 ; p10:10+10=20 ; p1:3+5=8 ; sum=600+20+8=628
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+24=-18
6x+24=-18 ; 6x=-42 ; x=-7
list_summation
list_summation:pairwise
1, 9, 5, 7
1+9=10 ; 5+7=12 ; 10+12=22
multidigit_addition
multidigit_addition:right-to-left-carry
651+109
d2:1+9+0=10→w0,c1 ; d1:5+0+1=6→w6,c0 ; d0:6+1+0=7→w7,c0 ; sum=760
multidigit_addition
multidigit_addition:rounding-decomposition
336+230
round:340+230=570 ; adjust:570-4=566 ; sum=566
sorting_algorithms
sorting_algorithms:merge-sort
7, 5, 8, 6, 9
[5,7,8,6,9] ; [5,7,6,8,9] ; [5,6,7,8,9]
list_summation
list_summation:left-to-right
8, 0, 7, 9
8+0=8 ; 8+7=15 ; 15+9=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,4)
R:(3,3) ; R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:bubble-sort
3, 8, 6, 7, 2
[3,6,8,7,2] ; [3,6,7,8,2] ; [3,6,7,2,8] ; [3,6,2,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8]
base_conversion
base_conversion:via-binary
n=144,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220
list_summation
list_summation:left-to-right
1, 4, 9, 8
1+4=5 ; 5+9=14 ; 14+8=22
multidigit_addition
multidigit_addition:right-to-left-carry
610+443
d2:0+3+0=3→w3,c0 ; d1:1+4+0=5→w5,c0 ; d0:6+4+0=10→w0,c1 ; sum=1053
sorting_algorithms
sorting_algorithms:heap-sort
8, 5, 7, 3, 1
[1,5,7,3,8] ; [7,5,1,3,8] ; [3,5,1,7,8] ; [5,3,1,7,8] ; [1,3,5,7,8] ; [3,1,5,7,8] ; [1,3,5,7,8]
list_summation
list_summation:left-to-right
5, 3, 3, 9
5+3=8 ; 8+3=11 ; 11+9=20
linear_equation_solving
linear_equation_solving:inverse-ops
8x-64=-72
8x-64=-72 ; x=(-72--64)/8 ; x=-8/8 ; x=-1
base_conversion
base_conversion:repeated-division
n=95,base=16
DIV:95/16=5,r:15 ; DIV:5/16=0,r:5 ; OUT:5F
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+72=144
8x+72=144 ; x+9=18 ; x=18-9 ; x=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+10=10
2x+10=10 ; x+5=5 ; x=5-5 ; x=0
linear_equation_solving
linear_equation_solving:inverse-ops
9x-36=27
9x-36=27 ; x=(27--36)/9 ; x=63/9 ; x=7
multidigit_addition
multidigit_addition:rounding-decomposition
186+854
round:190+854=1044 ; adjust:1044-4=1040 ; sum=1040
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=84
6x+54=84 ; x+9=14 ; x=14-9 ; x=5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(5,3)
R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:rounding-decomposition
482+353
round:490+353=843 ; adjust:843-8=835 ; sum=835
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 0, 4, 7
[6,7,0,4,2] ; [7,6,0,4,2] ; [2,6,0,4,7] ; [6,2,0,4,7] ; [6,4,0,2,7] ; [2,4,0,6,7] ; [4,2,0,6,7] ; [0,2,4,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
179+268
p100:100+200=300 ; p10:70+60=130 ; p1:9+8=17 ; sum=300+130+17=447
linear_equation_solving
linear_equation_solving:inverse-ops
2x-14=-8
2x-14=-8 ; x=(-8--14)/2 ; x=6/2 ; x=3
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+36=72
9x+36=72 ; 9x=36 ; x=4
base_conversion
base_conversion:via-binary
n=127,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1111111
sorting_algorithms
sorting_algorithms:heap-sort
8, 0, 5, 6, 2
[8,6,5,0,2] ; [2,6,5,0,8] ; [6,2,5,0,8] ; [0,2,5,6,8] ; [5,2,0,6,8] ; [0,2,5,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8]
sorting_algorithms
sorting_algorithms:heap-sort
8, 5, 6, 9, 3
[8,9,6,5,3] ; [9,8,6,5,3] ; [3,8,6,5,9] ; [8,3,6,5,9] ; [8,5,6,3,9] ; [3,5,6,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; D:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-24=-48
3x-24=-48 ; 3x=-24 ; x=-8
list_summation
list_summation:pairwise
6, 1, 7, 3
6+1=7 ; 7+3=10 ; 7+10=17
base_conversion
base_conversion:decomposition
n=190,base=16
TERM:11*16^1=176 ; TERM:14*16^0=14 ; OUT:BE
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,4)
R:(3,3) ; R:(3,4) ; D:(4,4)
base_conversion
base_conversion:via-binary
n=189,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10111101
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(5,5)
D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
base_conversion
base_conversion:via-binary
n=83,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1010011
list_summation
list_summation:pairwise
3, 7, 4, 5
3+7=10 ; 4+5=9 ; 10+9=19
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(5,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
576+719
round:580+719=1299 ; adjust:1299-4=1295 ; sum=1295
sorting_algorithms
sorting_algorithms:merge-sort
6, 4, 5, 1, 0
[4,6,5,1,0] ; [4,6,1,5,0] ; [1,4,5,6,0] ; [0,1,4,5,6]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-21=42
7x-21=42 ; x=(42--21)/7 ; x=63/7 ; x=9
base_conversion
base_conversion:repeated-division
n=24,base=16
DIV:24/16=1,r:8 ; DIV:1/16=0,r:1 ; OUT:18
linear_equation_solving
linear_equation_solving:inverse-ops
8x-64=-64
8x-64=-64 ; x=(-64--64)/8 ; x=0/8 ; x=0
multidigit_addition
multidigit_addition:left-to-right-partials
858+942
p100:800+900=1700 ; p10:50+40=90 ; p1:8+2=10 ; sum=1700+90+10=1800
list_summation
list_summation:left-to-right
0, 3, 4, 6
0+3=3 ; 3+4=7 ; 7+6=13
sorting_algorithms
sorting_algorithms:heap-sort
2, 6, 4, 3, 1
[6,2,4,3,1] ; [6,3,4,2,1] ; [1,3,4,2,6] ; [4,3,1,2,6] ; [2,3,1,4,6] ; [3,2,1,4,6] ; [1,2,3,4,6] ; [2,1,3,4,6] ; [1,2,3,4,6]
list_summation
list_summation:right-to-left
7, 2, 2, 8
2+8=10 ; 2+10=12 ; 7+12=19
multidigit_addition
multidigit_addition:right-to-left-carry
836+161
d2:6+1+0=7→w7,c0 ; d1:3+6+0=9→w9,c0 ; d0:8+1+0=9→w9,c0 ; sum=997
multidigit_addition
multidigit_addition:rounding-decomposition
323+161
round:330+161=491 ; adjust:491-7=484 ; sum=484
multidigit_addition
multidigit_addition:rounding-decomposition
101+350
round:110+350=460 ; adjust:460-9=451 ; sum=451
list_summation
list_summation:pairwise
5, 1, 5, 6
5+1=6 ; 5+6=11 ; 6+11=17
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:right-to-left
5, 3, 1, 8
1+8=9 ; 3+9=12 ; 5+12=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+63=63
7x+63=63 ; x+9=9 ; x=9-9 ; x=0
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(3,5)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
base_conversion
base_conversion:repeated-division
n=125,base=8
DIV:125/8=15,r:5 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:175
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
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
883+408
round:890+408=1298 ; adjust:1298-7=1291 ; sum=1291
multidigit_addition
multidigit_addition:rounding-decomposition
280+925
round:280+925=1205 ; adjust:1205-0=1205 ; sum=1205
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)
multidigit_addition
multidigit_addition:left-to-right-partials
145+506
p100:100+500=600 ; p10:40+0=40 ; p1:5+6=11 ; sum=600+40+11=651
multidigit_addition
multidigit_addition:rounding-decomposition
461+884
round:470+884=1354 ; adjust:1354-9=1345 ; sum=1345
multidigit_addition
multidigit_addition:left-to-right-partials
262+569
p100:200+500=700 ; p10:60+60=120 ; p1:2+9=11 ; sum=700+120+11=831
sorting_algorithms
sorting_algorithms:insertion-sort
9, 6, 5, 3, 7
[6,9,5,3,7] ; [5,6,9,3,7] ; [3,5,6,9,7] ; [3,5,6,7,9]
list_summation
list_summation:pairwise
0, 0, 5, 0
0+0=0 ; 5+0=5 ; 0+5=5
linear_equation_solving
linear_equation_solving:inverse-ops
4x-32=-32
4x-32=-32 ; x=(-32--32)/4 ; x=0/4 ; x=0
multidigit_addition
multidigit_addition:right-to-left-carry
553+772
d2:3+2+0=5→w5,c0 ; d1:5+7+0=12→w2,c1 ; d0:5+7+1=13→w3,c1 ; sum=1325
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-16=8
8x-16=8 ; x+-2=1 ; x=1--2 ; x=3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(4,5)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=54,base=4
TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:312
multidigit_addition
multidigit_addition:right-to-left-carry
896+872
d2:6+2+0=8→w8,c0 ; d1:9+7+0=16→w6,c1 ; d0:8+8+1=17→w7,c1 ; sum=1768
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 8, 2, 3
[1,4,8,2,3] ; [1,4,8,2,3] ; [1,2,4,8,3] ; [1,2,3,4,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+5=30
5x+5=30 ; 5x=25 ; x=5
sorting_algorithms
sorting_algorithms:heap-sort
1, 3, 7, 9, 5
[1,9,7,3,5] ; [9,1,7,3,5] ; [9,5,7,3,1] ; [1,5,7,3,9] ; [7,5,1,3,9] ; [3,5,1,7,9] ; [5,3,1,7,9] ; [1,3,5,7,9] ; [3,1,5,7,9] ; [1,3,5,7,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(4,3)
R:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:left-to-right-partials
460+587
p100:400+500=900 ; p10:60+80=140 ; p1:0+7=7 ; sum=900+140+7=1047
multidigit_addition
multidigit_addition:right-to-left-carry
505+902
d2:5+2+0=7→w7,c0 ; d1:0+0+0=0→w0,c0 ; d0:5+9+0=14→w4,c1 ; sum=1407
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5)
list_summation
list_summation:left-to-right
7, 6, 1, 8
7+6=13 ; 13+1=14 ; 14+8=22
multidigit_addition
multidigit_addition:right-to-left-carry
168+236
d2:8+6+0=14→w4,c1 ; d1:6+3+1=10→w0,c1 ; d0:1+2+1=4→w4,c0 ; sum=404
list_summation
list_summation:left-to-right
1, 2, 8, 9
1+2=3 ; 3+8=11 ; 11+9=20
multidigit_addition
multidigit_addition:rounding-decomposition
260+938
round:260+938=1198 ; adjust:1198-0=1198 ; sum=1198
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,4)
D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)
multidigit_addition
multidigit_addition:right-to-left-carry
333+492
d2:3+2+0=5→w5,c0 ; d1:3+9+0=12→w2,c1 ; d0:3+4+1=8→w8,c0 ; sum=825
linear_equation_solving
linear_equation_solving:inverse-ops
8x+16=8
8x+16=8 ; x=(8-16)/8 ; x=-8/8 ; x=-1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(4,4)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
4x-28=4
4x-28=4 ; x=(4--28)/4 ; x=32/4 ; x=8