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
multidigit_addition
multidigit_addition:left-to-right-partials
471+613
p100:400+600=1000 ; p10:70+10=80 ; p1:1+3=4 ; sum=1000+80+4=1084
base_conversion
base_conversion:repeated-division
n=30,base=4
DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:132
sorting_algorithms
sorting_algorithms:selection-sort
4, 2, 7, 3, 6
[2,4,7,3,6] ; [2,3,7,4,6] ; [2,3,4,7,6] ; [2,3,4,6,7]
list_summation
list_summation:left-to-right
5, 1, 1, 6
5+1=6 ; 6+1=7 ; 7+6=13
list_summation
list_summation:left-to-right
8, 1, 1, 9
8+1=9 ; 9+1=10 ; 10+9=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(5,5)
D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-21=0
7x-21=0 ; 7x=21 ; x=3
base_conversion
base_conversion:repeated-division
n=240,base=4
DIV:240/4=60,r:0 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3300
multidigit_addition
multidigit_addition:left-to-right-partials
260+265
p100:200+200=400 ; p10:60+60=120 ; p1:0+5=5 ; sum=400+120+5=525
sorting_algorithms
sorting_algorithms:merge-sort
9, 0, 5, 1, 8
[0,9,5,1,8] ; [0,9,1,5,8] ; [0,1,5,9,8] ; [0,1,5,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-54=-63
9x-54=-63 ; 9x=-9 ; x=-1
list_summation
list_summation:right-to-left
0, 8, 0, 9
0+9=9 ; 8+9=17 ; 0+17=17
sorting_algorithms
sorting_algorithms:heap-sort
9, 1, 2, 3, 6
[9,6,2,3,1] ; [1,6,2,3,9] ; [6,1,2,3,9] ; [6,3,2,1,9] ; [1,3,2,6,9] ; [3,1,2,6,9] ; [2,1,3,6,9] ; [1,2,3,6,9]
sorting_algorithms
sorting_algorithms:selection-sort
0, 2, 7, 3, 4
[0,2,7,3,4] ; [0,2,7,3,4] ; [0,2,3,7,4] ; [0,2,3,4,7]
list_summation
list_summation:right-to-left
8, 6, 4, 6
4+6=10 ; 6+10=16 ; 8+16=24
sorting_algorithms
sorting_algorithms:heap-sort
6, 1, 9, 3, 4
[6,4,9,3,1] ; [9,4,6,3,1] ; [1,4,6,3,9] ; [6,4,1,3,9] ; [3,4,1,6,9] ; [4,3,1,6,9] ; [1,3,4,6,9] ; [3,1,4,6,9] ; [1,3,4,6,9]
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)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
list_summation
list_summation:right-to-left
8, 5, 1, 3
1+3=4 ; 5+4=9 ; 8+9=17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(4,5)
R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5)
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:rounding-decomposition
241+315
round:250+315=565 ; adjust:565-9=556 ; sum=556
list_summation
list_summation:left-to-right
5, 4, 5, 0
5+4=9 ; 9+5=14 ; 14+0=14
multidigit_addition
multidigit_addition:right-to-left-carry
799+683
d2:9+3+0=12→w2,c1 ; d1:9+8+1=18→w8,c1 ; d0:7+6+1=14→w4,c1 ; sum=1482
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=47,base=4
TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:233
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+0=-30
5x+0=-30 ; x=(-30-0)/5 ; x=-30/5 ; x=-6
linear_equation_solving
linear_equation_solving:inverse-ops
3x-24=-39
3x-24=-39 ; x=(-39--24)/3 ; x=-15/3 ; x=-5
sorting_algorithms
sorting_algorithms:merge-sort
7, 4, 0, 1, 5
[4,7,0,1,5] ; [0,1,4,7,5] ; [0,1,4,5,7]
base_conversion
base_conversion:repeated-division
n=68,base=4
DIV:68/4=17,r:0 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1010
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)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+8=16
4x+8=16 ; x+2=4 ; x=4-2 ; x=2
sorting_algorithms
sorting_algorithms:bubble-sort
4, 7, 2, 5, 3
[4,2,7,5,3] ; [4,2,5,7,3] ; [4,2,5,3,7] ; [2,4,5,3,7] ; [2,4,3,5,7] ; [2,3,4,5,7]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 5, 8, 6, 1
[0,5,8,6,1] ; [0,5,8,6,1] ; [0,5,6,8,1] ; [0,1,5,6,8]
sorting_algorithms
sorting_algorithms:insertion-sort
5, 9, 1, 3, 0
[5,9,1,3,0] ; [1,5,9,3,0] ; [1,3,5,9,0] ; [0,1,3,5,9]
base_conversion
base_conversion:via-binary
n=229,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:5 ; OUT:345
list_summation
list_summation:pairwise
4, 1, 6, 1
4+1=5 ; 6+1=7 ; 5+7=12
base_conversion
base_conversion:repeated-division
n=36,base=8
DIV:36/8=4,r:4 ; DIV:4/8=0,r:4 ; OUT:44
sorting_algorithms
sorting_algorithms:heap-sort
4, 8, 3, 9, 2
[4,9,3,8,2] ; [9,4,3,8,2] ; [9,8,3,4,2] ; [2,8,3,4,9] ; [8,2,3,4,9] ; [8,4,3,2,9] ; [2,4,3,8,9] ; [4,2,3,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
4, 8, 7, 0, 2
[4,8,7,0,2] ; [4,7,8,0,2] ; [0,4,7,8,2] ; [0,2,4,7,8]
list_summation
list_summation:right-to-left
3, 9, 4, 8
4+8=12 ; 9+12=21 ; 3+21=24
base_conversion
base_conversion:decomposition
n=248,base=16
TERM:15*16^1=240 ; TERM:8*16^0=8 ; OUT:F8
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
280+496
d2:0+6+0=6→w6,c0 ; d1:8+9+0=17→w7,c1 ; d0:2+4+1=7→w7,c0 ; sum=776
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,2)
R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:pairwise
5, 2, 9, 2
5+2=7 ; 9+2=11 ; 7+11=18
sorting_algorithms
sorting_algorithms:merge-sort
8, 9, 1, 0, 3
[8,9,0,1,3] ; [0,1,8,9,3] ; [0,1,3,8,9]
list_summation
list_summation:right-to-left
8, 0, 2, 7
2+7=9 ; 0+9=9 ; 8+9=17
multidigit_addition
multidigit_addition:left-to-right-partials
528+353
p100:500+300=800 ; p10:20+50=70 ; p1:8+3=11 ; sum=800+70+11=881
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+36=-18
9x+36=-18 ; 9x=-54 ; x=-6
sorting_algorithms
sorting_algorithms:heap-sort
4, 9, 5, 8, 7
[9,4,5,8,7] ; [9,8,5,4,7] ; [7,8,5,4,9] ; [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:insertion-sort
5, 9, 6, 1, 4
[5,9,6,1,4] ; [5,6,9,1,4] ; [1,5,6,9,4] ; [1,4,5,6,9]
list_summation
list_summation:left-to-right
1, 1, 6, 3
1+1=2 ; 2+6=8 ; 8+3=11
list_summation
list_summation:left-to-right
8, 6, 3, 3
8+6=14 ; 14+3=17 ; 17+3=20
multidigit_addition
multidigit_addition:right-to-left-carry
763+888
d2:3+8+0=11→w1,c1 ; d1:6+8+1=15→w5,c1 ; d0:7+8+1=16→w6,c1 ; sum=1651
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 8, 0, 2
[0,1,8,6,2] ; [0,1,8,6,2] ; [0,1,2,6,8] ; [0,1,2,6,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(5,4)
D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
3, 1, 8, 7
3+1=4 ; 8+7=15 ; 4+15=19
list_summation
list_summation:left-to-right
2, 7, 6, 0
2+7=9 ; 9+6=15 ; 15+0=15
base_conversion
base_conversion:decomposition
n=169,base=8
TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:1*8^0=1 ; OUT:251
multidigit_addition
multidigit_addition:rounding-decomposition
847+452
round:850+452=1302 ; adjust:1302-3=1299 ; sum=1299
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)
list_summation
list_summation:pairwise
6, 3, 9, 4
6+3=9 ; 9+4=13 ; 9+13=22
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,1)
R:(3,1) ; D:(4,1) ; D:(5,1)
sorting_algorithms
sorting_algorithms:selection-sort
2, 7, 0, 3, 5
[0,7,2,3,5] ; [0,2,7,3,5] ; [0,2,3,7,5] ; [0,2,3,5,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+72=16
8x+72=16 ; x=(16-72)/8 ; x=-56/8 ; x=-7
sorting_algorithms
sorting_algorithms:insertion-sort
4, 0, 6, 2, 9
[0,4,6,2,9] ; [0,4,6,2,9] ; [0,2,4,6,9] ; [0,2,4,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x-12=12
3x-12=12 ; x=(12--12)/3 ; x=24/3 ; x=8
sorting_algorithms
sorting_algorithms:insertion-sort
5, 8, 2, 4, 9
[5,8,2,4,9] ; [2,5,8,4,9] ; [2,4,5,8,9] ; [2,4,5,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(5,3)
R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:rounding-decomposition
470+569
round:470+569=1039 ; adjust:1039-0=1039 ; sum=1039
multidigit_addition
multidigit_addition:right-to-left-carry
518+912
d2:8+2+0=10→w0,c1 ; d1:1+1+1=3→w3,c0 ; d0:5+9+0=14→w4,c1 ; sum=1430
list_summation
list_summation:right-to-left
4, 9, 3, 8
3+8=11 ; 9+11=20 ; 4+20=24
base_conversion
base_conversion:repeated-division
n=202,base=8
DIV:202/8=25,r:2 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:312
base_conversion
base_conversion:via-binary
n=68,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1010
multidigit_addition
multidigit_addition:rounding-decomposition
135+787
round:140+787=927 ; adjust:927-5=922 ; sum=922
multidigit_addition
multidigit_addition:rounding-decomposition
291+258
round:300+258=558 ; adjust:558-9=549 ; sum=549
list_summation
list_summation:pairwise
6, 5, 1, 0
6+5=11 ; 1+0=1 ; 11+1=12
multidigit_addition
multidigit_addition:right-to-left-carry
942+865
d2:2+5+0=7→w7,c0 ; d1:4+6+0=10→w0,c1 ; d0:9+8+1=18→w8,c1 ; sum=1807
sorting_algorithms
sorting_algorithms:bubble-sort
5, 2, 8, 4, 1
[2,5,8,4,1] ; [2,5,4,8,1] ; [2,5,4,1,8] ; [2,4,5,1,8] ; [2,4,1,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8]
sorting_algorithms
sorting_algorithms:merge-sort
4, 6, 5, 7, 8
[4,5,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
203+312
round:210+312=522 ; adjust:522-7=515 ; sum=515
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(1,5)
D:(1,3) ; R:(1,4) ; R:(1,5)
multidigit_addition
multidigit_addition:rounding-decomposition
714+877
round:720+877=1597 ; adjust:1597-6=1591 ; sum=1591
multidigit_addition
multidigit_addition:left-to-right-partials
592+296
p100:500+200=700 ; p10:90+90=180 ; p1:2+6=8 ; sum=700+180+8=888
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=-48
8x-24=-48 ; x=(-48--24)/8 ; x=-24/8 ; x=-3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
multidigit_addition
multidigit_addition:left-to-right-partials
624+118
p100:600+100=700 ; p10:20+10=30 ; p1:4+8=12 ; sum=700+30+12=742
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 6, 8, 5
[3,7,6,8,5] ; [3,5,6,8,7] ; [3,5,6,8,7] ; [3,5,6,7,8]
base_conversion
base_conversion:via-binary
n=214,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11010110
multidigit_addition
multidigit_addition:rounding-decomposition
512+432
round:520+432=952 ; adjust:952-8=944 ; sum=944
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(4,1)
R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1)
multidigit_addition
multidigit_addition:right-to-left-carry
284+415
d2:4+5+0=9→w9,c0 ; d1:8+1+0=9→w9,c0 ; d0:2+4+0=6→w6,c0 ; sum=699
multidigit_addition
multidigit_addition:rounding-decomposition
448+857
round:450+857=1307 ; adjust:1307-2=1305 ; sum=1305
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-16=40
8x-16=40 ; x+-2=5 ; x=5--2 ; x=7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(2,5)
R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
list_summation
list_summation:right-to-left
4, 8, 4, 8
4+8=12 ; 8+12=20 ; 4+20=24
base_conversion
base_conversion:decomposition
n=76,base=8
TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:114