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
base_conversion
base_conversion:via-binary
n=37,base=4
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:211
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-10=-50
5x-10=-50 ; 5x=-40 ; x=-8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(4,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 4, 8, 5
[3,7,4,8,5] ; [3,4,7,8,5] ; [3,4,5,8,7] ; [3,4,5,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
776+112
d2:6+2+0=8→w8,c0 ; d1:7+1+0=8→w8,c0 ; d0:7+1+0=8→w8,c0 ; sum=888
sorting_algorithms
sorting_algorithms:insertion-sort
2, 1, 6, 5, 3
[1,2,6,5,3] ; [1,2,6,5,3] ; [1,2,5,6,3] ; [1,2,3,5,6]
multidigit_addition
multidigit_addition:rounding-decomposition
147+333
round:150+333=483 ; adjust:483-3=480 ; sum=480
list_summation
list_summation:pairwise
2, 5, 0, 7
2+5=7 ; 0+7=7 ; 7+7=14
multidigit_addition
multidigit_addition:rounding-decomposition
467+179
round:470+179=649 ; adjust:649-3=646 ; sum=646
list_summation
list_summation:right-to-left
4, 6, 9, 5
9+5=14 ; 6+14=20 ; 4+20=24
linear_equation_solving
linear_equation_solving:inverse-ops
9x-63=-81
9x-63=-81 ; x=(-81--63)/9 ; x=-18/9 ; x=-2
base_conversion
base_conversion:decomposition
n=103,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147
base_conversion
base_conversion:via-binary
n=159,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10011111
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-27
3x-27=-27 ; x+-9=-9 ; x=-9--9 ; x=0
multidigit_addition
multidigit_addition:rounding-decomposition
586+456
round:590+456=1046 ; adjust:1046-4=1042 ; sum=1042
base_conversion
base_conversion:decomposition
n=82,base=16
TERM:5*16^1=80 ; TERM:2*16^0=2 ; OUT:52
sorting_algorithms
sorting_algorithms:selection-sort
1, 7, 3, 9, 8
[1,7,3,9,8] ; [1,3,7,9,8] ; [1,3,7,9,8] ; [1,3,7,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
1, 8, 3, 9, 7
[1,9,3,8,7] ; [9,1,3,8,7] ; [9,8,3,1,7] ; [7,8,3,1,9] ; [8,7,3,1,9] ; [1,7,3,8,9] ; [7,1,3,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-42=-60
6x-42=-60 ; 6x=-18 ; x=-3
multidigit_addition
multidigit_addition:left-to-right-partials
779+267
p100:700+200=900 ; p10:70+60=130 ; p1:9+7=16 ; sum=900+130+16=1046
multidigit_addition
multidigit_addition:right-to-left-carry
979+672
d2:9+2+0=11→w1,c1 ; d1:7+7+1=15→w5,c1 ; d0:9+6+1=16→w6,c1 ; sum=1651
multidigit_addition
multidigit_addition:right-to-left-carry
554+199
d2:4+9+0=13→w3,c1 ; d1:5+9+1=15→w5,c1 ; d0:5+1+1=7→w7,c0 ; sum=753
base_conversion
base_conversion:repeated-division
n=57,base=8
DIV:57/8=7,r:1 ; DIV:7/8=0,r:7 ; OUT:71
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,5)
D:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-56=-14
7x-56=-14 ; 7x=42 ; x=6
sorting_algorithms
sorting_algorithms:selection-sort
1, 8, 0, 4, 3
[0,8,1,4,3] ; [0,1,8,4,3] ; [0,1,3,4,8] ; [0,1,3,4,8]
multidigit_addition
multidigit_addition:rounding-decomposition
590+956
round:590+956=1546 ; adjust:1546-0=1546 ; sum=1546
multidigit_addition
multidigit_addition:right-to-left-carry
199+905
d2:9+5+0=14→w4,c1 ; d1:9+0+1=10→w0,c1 ; d0:1+9+1=11→w1,c1 ; sum=1104
sorting_algorithms
sorting_algorithms:heap-sort
1, 9, 0, 6, 3
[9,1,0,6,3] ; [9,6,0,1,3] ; [3,6,0,1,9] ; [6,3,0,1,9] ; [1,3,0,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9]
base_conversion
base_conversion:via-binary
n=176,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10110000
list_summation
list_summation:pairwise
9, 0, 2, 1
9+0=9 ; 2+1=3 ; 9+3=12
sorting_algorithms
sorting_algorithms:insertion-sort
3, 0, 8, 5, 6
[0,3,8,5,6] ; [0,3,8,5,6] ; [0,3,5,8,6] ; [0,3,5,6,8]
list_summation
list_summation:pairwise
0, 2, 9, 5
0+2=2 ; 9+5=14 ; 2+14=16
multidigit_addition
multidigit_addition:left-to-right-partials
910+864
p100:900+800=1700 ; p10:10+60=70 ; p1:0+4=4 ; sum=1700+70+4=1774
list_summation
list_summation:pairwise
4, 6, 6, 2
4+6=10 ; 6+2=8 ; 10+8=18
linear_equation_solving
linear_equation_solving:inverse-ops
5x+20=5
5x+20=5 ; x=(5-20)/5 ; x=-15/5 ; x=-3
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 0, 3, 6
[2,9,0,3,6] ; [2,0,9,3,6] ; [2,0,3,9,6] ; [2,0,3,6,9] ; [0,2,3,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
169+189
p100:100+100=200 ; p10:60+80=140 ; p1:9+9=18 ; sum=200+140+18=358
multidigit_addition
multidigit_addition:left-to-right-partials
951+865
p100:900+800=1700 ; p10:50+60=110 ; p1:1+5=6 ; sum=1700+110+6=1816
multidigit_addition
multidigit_addition:right-to-left-carry
858+201
d2:8+1+0=9→w9,c0 ; d1:5+0+0=5→w5,c0 ; d0:8+2+0=10→w0,c1 ; sum=1059
list_summation
list_summation:left-to-right
9, 2, 5, 1
9+2=11 ; 11+5=16 ; 16+1=17
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+8=-4
4x+8=-4 ; 4x=-12 ; x=-3
list_summation
list_summation:left-to-right
9, 4, 8, 7
9+4=13 ; 13+8=21 ; 21+7=28
base_conversion
base_conversion:decomposition
n=3,base=16
TERM:3*16^0=3 ; OUT:3
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-45=-65
5x-45=-65 ; 5x=-20 ; x=-4
base_conversion
base_conversion:repeated-division
n=71,base=2
DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1000111
linear_equation_solving
linear_equation_solving:inverse-ops
9x-36=-27
9x-36=-27 ; x=(-27--36)/9 ; x=9/9 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
219+377
p100:200+300=500 ; p10:10+70=80 ; p1:9+7=16 ; sum=500+80+16=596
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-36=-18
9x-36=-18 ; 9x=18 ; x=2
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-7=56
7x-7=56 ; x+-1=8 ; x=8--1 ; x=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+35=0
5x+35=0 ; x+7=0 ; x=0-7 ; x=-7
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+6=2
2x+6=2 ; 2x=-4 ; x=-2
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-5=-50
5x-5=-50 ; x+-1=-10 ; x=-10--1 ; x=-9
sorting_algorithms
sorting_algorithms:merge-sort
1, 0, 6, 4, 7
[0,1,6,4,7] ; [0,1,4,6,7]
base_conversion
base_conversion:decomposition
n=180,base=4
TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2310
sorting_algorithms
sorting_algorithms:selection-sort
6, 3, 5, 4, 7
[3,6,5,4,7] ; [3,4,5,6,7] ; [3,4,5,6,7] ; [3,4,5,6,7]
list_summation
list_summation:right-to-left
8, 0, 9, 7
9+7=16 ; 0+16=16 ; 8+16=24
list_summation
list_summation:right-to-left
7, 9, 9, 3
9+3=12 ; 9+12=21 ; 7+21=28
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-30=18
6x-30=18 ; x+-5=3 ; x=3--5 ; x=8
base_conversion
base_conversion:decomposition
n=234,base=16
TERM:14*16^1=224 ; TERM:10*16^0=10 ; OUT:EA
list_summation
list_summation:pairwise
5, 0, 7, 1
5+0=5 ; 7+1=8 ; 5+8=13
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-28=-52
4x-28=-52 ; x+-7=-13 ; x=-13--7 ; x=-6
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=18
3x+9=18 ; x+3=6 ; x=6-3 ; x=3
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+54=-18
9x+54=-18 ; 9x=-72 ; x=-8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4)
list_summation
list_summation:pairwise
8, 2, 3, 6
8+2=10 ; 3+6=9 ; 10+9=19
sorting_algorithms
sorting_algorithms:bubble-sort
6, 5, 3, 8, 1
[5,6,3,8,1] ; [5,3,6,8,1] ; [5,3,6,1,8] ; [3,5,6,1,8] ; [3,5,1,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8]
sorting_algorithms
sorting_algorithms:insertion-sort
3, 1, 5, 7, 6
[1,3,5,7,6] ; [1,3,5,7,6] ; [1,3,5,7,6] ; [1,3,5,6,7]
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 5, 6, 2
[1,8,5,6,2] ; [1,5,8,6,2] ; [1,5,6,8,2] ; [1,5,6,2,8] ; [1,5,2,6,8] ; [1,2,5,6,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+48=12
6x+48=12 ; 6x=-36 ; x=-6
multidigit_addition
multidigit_addition:right-to-left-carry
146+983
d2:6+3+0=9→w9,c0 ; d1:4+8+0=12→w2,c1 ; d0:1+9+1=11→w1,c1 ; sum=1129
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-8=-14
2x-8=-14 ; x+-4=-7 ; x=-7--4 ; x=-3
base_conversion
base_conversion:via-binary
n=65,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101
multidigit_addition
multidigit_addition:left-to-right-partials
183+904
p100:100+900=1000 ; p10:80+0=80 ; p1:3+4=7 ; sum=1000+80+7=1087
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(3,5)
D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
962+249
round:970+249=1219 ; adjust:1219-8=1211 ; sum=1211
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 2, 9, 0
[1,2,6,9,0] ; [0,1,2,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
648+955
d2:8+5+0=13→w3,c1 ; d1:4+5+1=10→w0,c1 ; d0:6+9+1=16→w6,c1 ; sum=1603
sorting_algorithms
sorting_algorithms:insertion-sort
1, 6, 9, 5, 8
[1,6,9,5,8] ; [1,6,9,5,8] ; [1,5,6,9,8] ; [1,5,6,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
524+937
round:530+937=1467 ; adjust:1467-6=1461 ; sum=1461
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+27=54
3x+27=54 ; x+9=18 ; x=18-9 ; x=9
sorting_algorithms
sorting_algorithms:selection-sort
0, 9, 2, 6, 3
[0,9,2,6,3] ; [0,2,9,6,3] ; [0,2,3,6,9] ; [0,2,3,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(5,4)
R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=104,base=2
DIV:104/2=52,r:0 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; 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:1101000
sorting_algorithms
sorting_algorithms:insertion-sort
8, 4, 5, 0, 3
[4,8,5,0,3] ; [4,5,8,0,3] ; [0,4,5,8,3] ; [0,3,4,5,8]
list_summation
list_summation:left-to-right
9, 2, 6, 0
9+2=11 ; 11+6=17 ; 17+0=17
list_summation
list_summation:pairwise
8, 8, 5, 5
8+8=16 ; 5+5=10 ; 16+10=26
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-32=-20
4x-32=-20 ; 4x=12 ; x=3
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,2)
R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2)
sorting_algorithms
sorting_algorithms:insertion-sort
2, 8, 3, 6, 9
[2,8,3,6,9] ; [2,3,8,6,9] ; [2,3,6,8,9] ; [2,3,6,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
896+809
round:900+809=1709 ; adjust:1709-4=1705 ; sum=1705
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-5=25
5x-5=25 ; 5x=30 ; x=6
sorting_algorithms
sorting_algorithms:merge-sort
9, 2, 8, 7, 1
[2,9,8,7,1] ; [2,9,7,8,1] ; [2,7,8,9,1] ; [1,2,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
3, 2, 2, 2
3+2=5 ; 5+2=7 ; 7+2=9
multidigit_addition
multidigit_addition:left-to-right-partials
960+822
p100:900+800=1700 ; p10:60+20=80 ; p1:0+2=2 ; sum=1700+80+2=1782
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)