Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
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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:rounding-decomposition
135+601
round:140+601=741 ; adjust:741-5=736 ; sum=736
list_summation
list_summation:pairwise
5, 9, 3, 1
5+9=14 ; 3+1=4 ; 14+4=18
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
base_conversion
base_conversion:via-binary
n=143,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2033
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
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)
list_summation
list_summation:left-to-right
6, 5, 9, 0
6+5=11 ; 11+9=20 ; 20+0=20
sorting_algorithms
sorting_algorithms:insertion-sort
4, 5, 1, 0, 2
[4,5,1,0,2] ; [1,4,5,0,2] ; [0,1,4,5,2] ; [0,1,2,4,5]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
base_conversion
base_conversion:repeated-division
n=87,base=8
DIV:87/8=10,r:7 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:127
base_conversion
base_conversion:repeated-division
n=41,base=4
DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:221
sorting_algorithms
sorting_algorithms:selection-sort
5, 3, 4, 9, 1
[1,3,4,9,5] ; [1,3,4,9,5] ; [1,3,4,9,5] ; [1,3,4,5,9]
sorting_algorithms
sorting_algorithms:selection-sort
3, 6, 7, 1, 8
[1,6,7,3,8] ; [1,3,7,6,8] ; [1,3,6,7,8] ; [1,3,6,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
567+103
d2:7+3+0=10→w0,c1 ; d1:6+0+1=7→w7,c0 ; d0:5+1+0=6→w6,c0 ; sum=670
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=78
6x+54=78 ; x+9=13 ; x=13-9 ; x=4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:via-binary
n=37,base=4
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:211
sorting_algorithms
sorting_algorithms:selection-sort
4, 3, 9, 7, 1
[1,3,9,7,4] ; [1,3,9,7,4] ; [1,3,4,7,9] ; [1,3,4,7,9]
base_conversion
base_conversion:repeated-division
n=225,base=2
DIV:225/2=112,r:1 ; DIV:112/2=56,r:0 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100001
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+18=27
9x+18=27 ; x+2=3 ; x=3-2 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,5)
D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=24,base=8
TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:30
base_conversion
base_conversion:via-binary
n=207,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:317
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-24=0
6x-24=0 ; x+-4=0 ; x=0--4 ; x=4
multidigit_addition
multidigit_addition:right-to-left-carry
958+945
d2:8+5+0=13→w3,c1 ; d1:5+4+1=10→w0,c1 ; d0:9+9+1=19→w9,c1 ; sum=1903
list_summation
list_summation:right-to-left
7, 6, 0, 2
0+2=2 ; 6+2=8 ; 7+8=15
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-18=45
9x-18=45 ; 9x=63 ; x=7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(4,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 1, 0, 8
[2,1,7,0,8] ; [2,1,0,7,8] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8]
list_summation
list_summation:right-to-left
6, 3, 9, 9
9+9=18 ; 3+18=21 ; 6+21=27
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=36
9x+45=36 ; x+5=4 ; x=4-5 ; x=-1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,2)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:pairwise
4, 0, 5, 6
4+0=4 ; 5+6=11 ; 4+11=15
base_conversion
base_conversion:via-binary
n=76,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:12 ; OUT:4C
list_summation
list_summation:left-to-right
6, 1, 6, 5
6+1=7 ; 7+6=13 ; 13+5=18
sorting_algorithms
sorting_algorithms:insertion-sort
6, 5, 1, 7, 8
[5,6,1,7,8] ; [1,5,6,7,8] ; [1,5,6,7,8] ; [1,5,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
757+629
round:760+629=1389 ; adjust:1389-3=1386 ; sum=1386
base_conversion
base_conversion:decomposition
n=42,base=16
TERM:2*16^1=32 ; TERM:10*16^0=10 ; OUT:2A
sorting_algorithms
sorting_algorithms:insertion-sort
2, 4, 5, 3, 7
[2,4,5,3,7] ; [2,4,5,3,7] ; [2,3,4,5,7] ; [2,3,4,5,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+42=0
7x+42=0 ; x+6=0 ; x=0-6 ; x=-6
base_conversion
base_conversion:decomposition
n=251,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:11111011
sorting_algorithms
sorting_algorithms:insertion-sort
3, 2, 5, 7, 4
[2,3,5,7,4] ; [2,3,5,7,4] ; [2,3,5,7,4] ; [2,3,4,5,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,3)
R:(3,2) ; D:(4,2) ; R:(4,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+4=-24
4x+4=-24 ; x+1=-6 ; x=-6-1 ; x=-7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,5)
D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
6, 1, 4, 1
4+1=5 ; 1+5=6 ; 6+6=12
list_summation
list_summation:left-to-right
0, 8, 8, 7
0+8=8 ; 8+8=16 ; 16+7=23
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(5,3)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
698+796
d2:8+6+0=14→w4,c1 ; d1:9+9+1=19→w9,c1 ; d0:6+7+1=14→w4,c1 ; sum=1494
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+45=60
5x+45=60 ; x+9=12 ; x=12-9 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
376+697
round:380+697=1077 ; adjust:1077-4=1073 ; sum=1073
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(2,3)
D:(2,2) ; R:(2,3)
sorting_algorithms
sorting_algorithms:selection-sort
0, 7, 6, 1, 9
[0,7,6,1,9] ; [0,1,6,7,9] ; [0,1,6,7,9] ; [0,1,6,7,9]
sorting_algorithms
sorting_algorithms:heap-sort
8, 6, 5, 3, 1
[1,6,5,3,8] ; [6,1,5,3,8] ; [6,3,5,1,8] ; [1,3,5,6,8] ; [5,3,1,6,8] ; [1,3,5,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; D:(3,2) ; R:(3,3)
base_conversion
base_conversion:via-binary
n=73,base=2
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1001001
multidigit_addition
multidigit_addition:right-to-left-carry
797+429
d2:7+9+0=16→w6,c1 ; d1:9+2+1=12→w2,c1 ; d0:7+4+1=12→w2,c1 ; sum=1226
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-6=-33
3x-6=-33 ; x+-2=-11 ; x=-11--2 ; x=-9
base_conversion
base_conversion:via-binary
n=152,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10011000
base_conversion
base_conversion:decomposition
n=221,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3131
multidigit_addition
multidigit_addition:left-to-right-partials
300+895
p100:300+800=1100 ; p10:0+90=90 ; p1:0+5=5 ; sum=1100+90+5=1195
multidigit_addition
multidigit_addition:rounding-decomposition
977+378
round:980+378=1358 ; adjust:1358-3=1355 ; sum=1355
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(5,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,2)
D:(4,1) ; D:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-42=-96
6x-42=-96 ; x=(-96--42)/6 ; x=-54/6 ; x=-9
sorting_algorithms
sorting_algorithms:merge-sort
5, 2, 3, 9, 1
[2,5,3,9,1] ; [2,3,5,9,1] ; [1,2,3,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=24
3x+12=24 ; x=(24-12)/3 ; x=12/3 ; x=4
base_conversion
base_conversion:decomposition
n=232,base=8
TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:350
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(1,4)
D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4)
base_conversion
base_conversion:via-binary
n=205,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:315
multidigit_addition
multidigit_addition:right-to-left-carry
225+611
d2:5+1+0=6→w6,c0 ; d1:2+1+0=3→w3,c0 ; d0:2+6+0=8→w8,c0 ; sum=836
base_conversion
base_conversion:via-binary
n=19,base=2
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:10011
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 0, 8, 2
[1,4,0,8,2] ; [0,1,4,8,2] ; [0,1,4,8,2] ; [0,1,2,4,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:merge-sort
1, 8, 0, 5, 7
[0,1,5,8,7] ; [0,1,5,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
8, 6, 4, 1, 2
[6,8,4,1,2] ; [6,4,8,1,2] ; [6,4,1,8,2] ; [6,4,1,2,8] ; [4,6,1,2,8] ; [4,1,6,2,8] ; [4,1,2,6,8] ; [1,4,2,6,8] ; [1,2,4,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
931+662
d2:1+2+0=3→w3,c0 ; d1:3+6+0=9→w9,c0 ; d0:9+6+0=15→w5,c1 ; sum=1593
list_summation
list_summation:right-to-left
9, 5, 3, 1
3+1=4 ; 5+4=9 ; 9+9=18
list_summation
list_summation:left-to-right
9, 1, 9, 2
9+1=10 ; 10+9=19 ; 19+2=21
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-56=-32
8x-56=-32 ; 8x=24 ; x=3
base_conversion
base_conversion:decomposition
n=83,base=16
TERM:5*16^1=80 ; TERM:3*16^0=3 ; OUT:53
list_summation
list_summation:right-to-left
3, 6, 0, 4
0+4=4 ; 6+4=10 ; 3+10=13
base_conversion
base_conversion:decomposition
n=47,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:101111
linear_equation_solving
linear_equation_solving:inverse-ops
8x-72=-144
8x-72=-144 ; x=(-144--72)/8 ; x=-72/8 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+5=50
5x+5=50 ; x+1=10 ; x=10-1 ; x=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-35=-91
7x-35=-91 ; x+-5=-13 ; x=-13--5 ; x=-8
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-30=10
5x-30=10 ; x+-6=2 ; x=2--6 ; x=8
list_summation
list_summation:pairwise
4, 6, 6, 4
4+6=10 ; 6+4=10 ; 10+10=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
base_conversion
base_conversion:decomposition
n=119,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:167
list_summation
list_summation:pairwise
4, 1, 4, 3
4+1=5 ; 4+3=7 ; 5+7=12
multidigit_addition
multidigit_addition:rounding-decomposition
492+164
round:500+164=664 ; adjust:664-8=656 ; sum=656
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+4=22
2x+4=22 ; 2x=18 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+10=-35
5x+10=-35 ; 5x=-45 ; x=-9
multidigit_addition
multidigit_addition:rounding-decomposition
467+917
round:470+917=1387 ; adjust:1387-3=1384 ; sum=1384
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+7=63
7x+7=63 ; 7x=56 ; x=8