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
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(5,3)
R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
972+204
d2:2+4+0=6→w6,c0 ; d1:7+0+0=7→w7,c0 ; d0:9+2+0=11→w1,c1 ; sum=1176
sorting_algorithms
sorting_algorithms:insertion-sort
1, 7, 3, 8, 0
[1,7,3,8,0] ; [1,3,7,8,0] ; [1,3,7,8,0] ; [0,1,3,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
0, 9, 7, 6, 8
[0,9,6,7,8] ; [0,6,7,9,8] ; [0,6,7,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
826+948
d2:6+8+0=14→w4,c1 ; d1:2+4+1=7→w7,c0 ; d0:8+9+0=17→w7,c1 ; sum=1774
base_conversion
base_conversion:via-binary
n=218,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:3122
list_summation
list_summation:right-to-left
1, 9, 9, 1
9+1=10 ; 9+10=19 ; 1+19=20
list_summation
list_summation:pairwise
0, 7, 2, 7
0+7=7 ; 2+7=9 ; 7+9=16
base_conversion
base_conversion:via-binary
n=178,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:2 ; OUT:B2
multidigit_addition
multidigit_addition:right-to-left-carry
286+758
d2:6+8+0=14→w4,c1 ; d1:8+5+1=14→w4,c1 ; d0:2+7+1=10→w0,c1 ; sum=1044
base_conversion
base_conversion:repeated-division
n=253,base=2
DIV:253/2=126,r:1 ; DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; 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:11111101
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)
sorting_algorithms
sorting_algorithms:insertion-sort
2, 9, 8, 6, 4
[2,9,8,6,4] ; [2,8,9,6,4] ; [2,6,8,9,4] ; [2,4,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
120+802
p100:100+800=900 ; p10:20+0=20 ; p1:0+2=2 ; sum=900+20+2=922
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(5,4)
D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
base_conversion
base_conversion:repeated-division
n=144,base=16
DIV:144/16=9,r:0 ; DIV:9/16=0,r:9 ; OUT:90
base_conversion
base_conversion:decomposition
n=168,base=16
TERM:10*16^1=160 ; TERM:8*16^0=8 ; OUT:A8
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 4, 3, 8
[2,9,4,3,8] ; [2,4,9,3,8] ; [2,4,3,9,8] ; [2,4,3,8,9] ; [2,3,4,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
274+621
d2:4+1+0=5→w5,c0 ; d1:7+2+0=9→w9,c0 ; d0:2+6+0=8→w8,c0 ; sum=895
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-6=-15
3x-6=-15 ; x+-2=-5 ; x=-5--2 ; x=-3
multidigit_addition
multidigit_addition:rounding-decomposition
507+981
round:510+981=1491 ; adjust:1491-3=1488 ; sum=1488
linear_equation_solving
linear_equation_solving:inverse-ops
4x+12=20
4x+12=20 ; x=(20-12)/4 ; x=8/4 ; x=2
linear_equation_solving
linear_equation_solving:inverse-ops
6x-54=-84
6x-54=-84 ; x=(-84--54)/6 ; x=-30/6 ; x=-5
base_conversion
base_conversion:repeated-division
n=10,base=16
DIV:10/16=0,r:10 ; OUT:A
base_conversion
base_conversion:repeated-division
n=28,base=16
DIV:28/16=1,r:12 ; DIV:1/16=0,r:1 ; OUT:1C
base_conversion
base_conversion:repeated-division
n=123,base=4
DIV:123/4=30,r:3 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1323
multidigit_addition
multidigit_addition:right-to-left-carry
271+579
d2:1+9+0=10→w0,c1 ; d1:7+7+1=15→w5,c1 ; d0:2+5+1=8→w8,c0 ; sum=850
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-4=20
4x-4=20 ; 4x=24 ; x=6
base_conversion
base_conversion:repeated-division
n=100,base=16
DIV:100/16=6,r:4 ; DIV:6/16=0,r:6 ; OUT:64
base_conversion
base_conversion:repeated-division
n=54,base=2
DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110110
sorting_algorithms
sorting_algorithms:heap-sort
5, 8, 1, 9, 4
[5,9,1,8,4] ; [9,5,1,8,4] ; [9,8,1,5,4] ; [4,8,1,5,9] ; [8,4,1,5,9] ; [8,5,1,4,9] ; [4,5,1,8,9] ; [5,4,1,8,9] ; [1,4,5,8,9] ; [4,1,5,8,9] ; [1,4,5,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
3, 6, 4, 7, 8
[3,8,4,7,6] ; [8,3,4,7,6] ; [8,7,4,3,6] ; [6,7,4,3,8] ; [7,6,4,3,8] ; [3,6,4,7,8] ; [6,3,4,7,8] ; [4,3,6,7,8] ; [3,4,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,5)
R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)
multidigit_addition
multidigit_addition:rounding-decomposition
929+808
round:930+808=1738 ; adjust:1738-1=1737 ; sum=1737
list_summation
list_summation:pairwise
4, 1, 9, 0
4+1=5 ; 9+0=9 ; 5+9=14
list_summation
list_summation:left-to-right
0, 2, 9, 6
0+2=2 ; 2+9=11 ; 11+6=17
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
7, 6, 8, 4, 1
[1,6,8,4,7] ; [1,4,8,6,7] ; [1,4,6,8,7] ; [1,4,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
467+677
round:470+677=1147 ; adjust:1147-3=1144 ; sum=1144
sorting_algorithms
sorting_algorithms:bubble-sort
7, 0, 4, 5, 2
[0,7,4,5,2] ; [0,4,7,5,2] ; [0,4,5,7,2] ; [0,4,5,2,7] ; [0,4,2,5,7] ; [0,2,4,5,7]
base_conversion
base_conversion:via-binary
n=10,base=4
BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:2 ; OUT:22
base_conversion
base_conversion:decomposition
n=56,base=16
TERM:3*16^1=48 ; TERM:8*16^0=8 ; OUT:38
multidigit_addition
multidigit_addition:right-to-left-carry
715+475
d2:5+5+0=10→w0,c1 ; d1:1+7+1=9→w9,c0 ; d0:7+4+0=11→w1,c1 ; sum=1190
sorting_algorithms
sorting_algorithms:bubble-sort
8, 6, 5, 9, 2
[6,8,5,9,2] ; [6,5,8,9,2] ; [6,5,8,2,9] ; [5,6,8,2,9] ; [5,6,2,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
808+939
p100:800+900=1700 ; p10:0+30=30 ; p1:8+9=17 ; sum=1700+30+17=1747
list_summation
list_summation:pairwise
4, 0, 1, 9
4+0=4 ; 1+9=10 ; 4+10=14
multidigit_addition
multidigit_addition:rounding-decomposition
936+492
round:940+492=1432 ; adjust:1432-4=1428 ; sum=1428
sorting_algorithms
sorting_algorithms:merge-sort
2, 7, 3, 6, 5
[2,3,6,7,5] ; [2,3,5,6,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:bubble-sort
6, 8, 3, 2, 1
[6,3,8,2,1] ; [6,3,2,8,1] ; [6,3,2,1,8] ; [3,6,2,1,8] ; [3,2,6,1,8] ; [3,2,1,6,8] ; [2,3,1,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-32=-44
4x-32=-44 ; 4x=-12 ; x=-3
base_conversion
base_conversion:decomposition
n=139,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10001011
sorting_algorithms
sorting_algorithms:insertion-sort
2, 3, 7, 8, 5
[2,3,7,8,5] ; [2,3,7,8,5] ; [2,3,7,8,5] ; [2,3,5,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
5, 7, 2, 9, 6
[2,5,7,9,6] ; [2,5,6,7,9]
base_conversion
base_conversion:via-binary
n=33,base=8
BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:1 ; OUT:41
base_conversion
base_conversion:via-binary
n=95,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1011111
base_conversion
base_conversion:decomposition
n=247,base=2
TERM:1*2^7=128 ; 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:11110111
list_summation
list_summation:right-to-left
7, 3, 8, 1
8+1=9 ; 3+9=12 ; 7+12=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,2)
D:(3,0) ; R:(3,1) ; R:(3,2)
base_conversion
base_conversion:decomposition
n=34,base=8
TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:42
list_summation
list_summation:pairwise
1, 3, 8, 5
1+3=4 ; 8+5=13 ; 4+13=17
list_summation
list_summation:right-to-left
6, 8, 3, 4
3+4=7 ; 8+7=15 ; 6+15=21
multidigit_addition
multidigit_addition:right-to-left-carry
313+775
d2:3+5+0=8→w8,c0 ; d1:1+7+0=8→w8,c0 ; d0:3+7+0=10→w0,c1 ; sum=1088
base_conversion
base_conversion:via-binary
n=150,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:2112
list_summation
list_summation:pairwise
7, 0, 3, 9
7+0=7 ; 3+9=12 ; 7+12=19
base_conversion
base_conversion:decomposition
n=219,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011011
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,5)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
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)
base_conversion
base_conversion:repeated-division
n=250,base=16
DIV:250/16=15,r:10 ; DIV:15/16=0,r:15 ; OUT:FA
multidigit_addition
multidigit_addition:rounding-decomposition
348+734
round:350+734=1084 ; adjust:1084-2=1082 ; sum=1082
list_summation
list_summation:pairwise
9, 4, 5, 6
9+4=13 ; 5+6=11 ; 13+11=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(5,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 2, 8, 3
[1,2,6,8,3] ; [1,2,3,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+48=30
6x+48=30 ; x=(30-48)/6 ; x=-18/6 ; x=-3
base_conversion
base_conversion:via-binary
n=34,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:100010
multidigit_addition
multidigit_addition:right-to-left-carry
930+175
d2:0+5+0=5→w5,c0 ; d1:3+7+0=10→w0,c1 ; d0:9+1+1=11→w1,c1 ; sum=1105
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(1,5)
D:(1,4) ; R:(1,5)
list_summation
list_summation:pairwise
3, 2, 1, 5
3+2=5 ; 1+5=6 ; 5+6=11
list_summation
list_summation:left-to-right
2, 6, 5, 8
2+6=8 ; 8+5=13 ; 13+8=21
list_summation
list_summation:right-to-left
3, 3, 1, 9
1+9=10 ; 3+10=13 ; 3+13=16
multidigit_addition
multidigit_addition:right-to-left-carry
764+649
d2:4+9+0=13→w3,c1 ; d1:6+4+1=11→w1,c1 ; d0:7+6+1=14→w4,c1 ; sum=1413
list_summation
list_summation:pairwise
5, 7, 1, 6
5+7=12 ; 1+6=7 ; 12+7=19
linear_equation_solving
linear_equation_solving:inverse-ops
7x+7=-56
7x+7=-56 ; x=(-56-7)/7 ; x=-63/7 ; x=-9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,1)
R:(1,1) ; D:(2,1) ; D:(3,1)
base_conversion
base_conversion:decomposition
n=149,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10010101
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,3)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3)
base_conversion
base_conversion:repeated-division
n=15,base=8
DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:17
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=0
2x+18=0 ; x+9=0 ; x=0-9 ; x=-9
linear_equation_solving
linear_equation_solving:inverse-ops
3x+6=24
3x+6=24 ; x=(24-6)/3 ; x=18/3 ; x=6
list_summation
list_summation:right-to-left
3, 1, 9, 5
9+5=14 ; 1+14=15 ; 3+15=18
sorting_algorithms
sorting_algorithms:selection-sort
8, 6, 5, 7, 1
[1,6,5,7,8] ; [1,5,6,7,8] ; [1,5,6,7,8] ; [1,5,6,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+7=0
7x+7=0 ; x+1=0 ; x=0-1 ; x=-1
base_conversion
base_conversion:decomposition
n=210,base=16
TERM:13*16^1=208 ; TERM:2*16^0=2 ; OUT:D2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
multidigit_addition
multidigit_addition:left-to-right-partials
742+792
p100:700+700=1400 ; p10:40+90=130 ; p1:2+2=4 ; sum=1400+130+4=1534
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; R:(4,4) ; D:(5,4)