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:right-to-left-carry
396+144
d2:6+4+0=10→w0,c1 ; d1:9+4+1=14→w4,c1 ; d0:3+1+1=5→w5,c0 ; sum=540
base_conversion
base_conversion:decomposition
n=6,base=16
TERM:6*16^0=6 ; OUT:6
multidigit_addition
multidigit_addition:rounding-decomposition
767+685
round:770+685=1455 ; adjust:1455-3=1452 ; sum=1452
base_conversion
base_conversion:repeated-division
n=115,base=16
DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73
list_summation
list_summation:pairwise
7, 1, 5, 2
7+1=8 ; 5+2=7 ; 8+7=15
sorting_algorithms
sorting_algorithms:merge-sort
9, 1, 0, 8, 7
[1,9,0,8,7] ; [0,1,8,9,7] ; [0,1,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
236+784
p100:200+700=900 ; p10:30+80=110 ; p1:6+4=10 ; sum=900+110+10=1020
base_conversion
base_conversion:decomposition
n=69,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1011
multidigit_addition
multidigit_addition:right-to-left-carry
124+489
d2:4+9+0=13→w3,c1 ; d1:2+8+1=11→w1,c1 ; d0:1+4+1=6→w6,c0 ; sum=613
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
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:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
base_conversion
base_conversion:decomposition
n=184,base=8
TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:0*8^0=0 ; OUT:270
list_summation
list_summation:left-to-right
2, 2, 9, 6
2+2=4 ; 4+9=13 ; 13+6=19
list_summation
list_summation:left-to-right
6, 8, 9, 9
6+8=14 ; 14+9=23 ; 23+9=32
linear_equation_solving
linear_equation_solving:inverse-ops
9x+0=-18
9x+0=-18 ; x=(-18-0)/9 ; x=-18/9 ; x=-2
sorting_algorithms
sorting_algorithms:bubble-sort
9, 7, 6, 2, 0
[7,9,6,2,0] ; [7,6,9,2,0] ; [7,6,2,9,0] ; [7,6,2,0,9] ; [6,7,2,0,9] ; [6,2,7,0,9] ; [6,2,0,7,9] ; [2,6,0,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
430+468
d2:0+8+0=8→w8,c0 ; d1:3+6+0=9→w9,c0 ; d0:4+4+0=8→w8,c0 ; sum=898
base_conversion
base_conversion:via-binary
n=232,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:8 ; OUT:E8
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+28=32
4x+28=32 ; 4x=4 ; x=1
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+18=6
2x+18=6 ; 2x=-12 ; x=-6
linear_equation_solving
linear_equation_solving:inverse-ops
5x-20=-40
5x-20=-40 ; x=(-40--20)/5 ; x=-20/5 ; x=-4
base_conversion
base_conversion:repeated-division
n=8,base=16
DIV:8/16=0,r:8 ; OUT:8
base_conversion
base_conversion:repeated-division
n=43,base=4
DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:223
multidigit_addition
multidigit_addition:left-to-right-partials
458+970
p100:400+900=1300 ; p10:50+70=120 ; p1:8+0=8 ; sum=1300+120+8=1428
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+28=0
4x+28=0 ; 4x=-28 ; x=-7
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=77
7x+56=77 ; x=(77-56)/7 ; x=21/7 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
418+427
round:420+427=847 ; adjust:847-2=845 ; sum=845
sorting_algorithms
sorting_algorithms:merge-sort
8, 4, 6, 1, 0
[4,8,6,1,0] ; [4,8,1,6,0] ; [1,4,6,8,0] ; [0,1,4,6,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(4,5)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,4)
R:(0,4) ; D:(1,4) ; D:(2,4)
multidigit_addition
multidigit_addition:rounding-decomposition
659+822
round:660+822=1482 ; adjust:1482-1=1481 ; sum=1481
base_conversion
base_conversion:decomposition
n=214,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3112
multidigit_addition
multidigit_addition:right-to-left-carry
154+784
d2:4+4+0=8→w8,c0 ; d1:5+8+0=13→w3,c1 ; d0:1+7+1=9→w9,c0 ; sum=938
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
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+30=36
6x+30=36 ; x+5=6 ; x=6-5 ; x=1
list_summation
list_summation:pairwise
6, 9, 1, 1
6+9=15 ; 1+1=2 ; 15+2=17
list_summation
list_summation:pairwise
2, 0, 1, 0
2+0=2 ; 1+0=1 ; 2+1=3
base_conversion
base_conversion:via-binary
n=251,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11111011
linear_equation_solving
linear_equation_solving:inverse-ops
3x-15=-30
3x-15=-30 ; x=(-30--15)/3 ; x=-15/3 ; x=-5
base_conversion
base_conversion:via-binary
n=227,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:3 ; OUT:343
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(4,3)
D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
list_summation
list_summation:pairwise
0, 2, 6, 8
0+2=2 ; 6+8=14 ; 2+14=16
sorting_algorithms
sorting_algorithms:merge-sort
5, 3, 2, 8, 9
[3,5,2,8,9] ; [2,3,5,8,9]
list_summation
list_summation:left-to-right
5, 6, 5, 3
5+6=11 ; 11+5=16 ; 16+3=19
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+54=18
6x+54=18 ; 6x=-36 ; x=-6
sorting_algorithms
sorting_algorithms:insertion-sort
7, 3, 4, 9, 0
[3,7,4,9,0] ; [3,4,7,9,0] ; [3,4,7,9,0] ; [0,3,4,7,9]
list_summation
list_summation:right-to-left
0, 8, 1, 8
1+8=9 ; 8+9=17 ; 0+17=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-30=-36
6x-30=-36 ; x+-5=-6 ; x=-6--5 ; x=-1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(3,3)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3)
linear_equation_solving
linear_equation_solving:inverse-ops
7x+14=7
7x+14=7 ; x=(7-14)/7 ; x=-7/7 ; x=-1
list_summation
list_summation:pairwise
5, 4, 2, 3
5+4=9 ; 2+3=5 ; 9+5=14
list_summation
list_summation:pairwise
6, 3, 4, 4
6+3=9 ; 4+4=8 ; 9+8=17
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+56=88
8x+56=88 ; 8x=32 ; x=4
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+4=-24
4x+4=-24 ; 4x=-28 ; x=-7
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-9=18
3x-9=18 ; 3x=27 ; x=9
multidigit_addition
multidigit_addition:right-to-left-carry
463+777
d2:3+7+0=10→w0,c1 ; d1:6+7+1=14→w4,c1 ; d0:4+7+1=12→w2,c1 ; sum=1240
multidigit_addition
multidigit_addition:rounding-decomposition
464+632
round:470+632=1102 ; adjust:1102-6=1096 ; sum=1096
base_conversion
base_conversion:decomposition
n=48,base=4
TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:300
linear_equation_solving
linear_equation_solving:inverse-ops
9x+81=0
9x+81=0 ; x=(0-81)/9 ; x=-81/9 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+4=36
4x+4=36 ; x+1=9 ; x=9-1 ; x=8
sorting_algorithms
sorting_algorithms:heap-sort
7, 2, 8, 3, 0
[7,3,8,2,0] ; [8,3,7,2,0] ; [0,3,7,2,8] ; [7,3,0,2,8] ; [2,3,0,7,8] ; [3,2,0,7,8] ; [0,2,3,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+5=20
5x+5=20 ; x+1=4 ; x=4-1 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
392+317
round:400+317=717 ; adjust:717-8=709 ; sum=709
base_conversion
base_conversion:decomposition
n=22,base=8
TERM:2*8^1=16 ; TERM:6*8^0=6 ; OUT:26
sorting_algorithms
sorting_algorithms:heap-sort
2, 1, 5, 0, 6
[2,6,5,0,1] ; [6,2,5,0,1] ; [1,2,5,0,6] ; [5,2,1,0,6] ; [0,2,1,5,6] ; [2,0,1,5,6] ; [1,0,2,5,6] ; [0,1,2,5,6]
base_conversion
base_conversion:repeated-division
n=222,base=4
DIV:222/4=55,r:2 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3132
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+24=72
8x+24=72 ; x+3=9 ; x=9-3 ; x=6
multidigit_addition
multidigit_addition:rounding-decomposition
210+978
round:210+978=1188 ; adjust:1188-0=1188 ; sum=1188
base_conversion
base_conversion:repeated-division
n=86,base=4
DIV:86/4=21,r:2 ; DIV:21/4=5,r:1 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1112
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,5)
D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
785+152
round:790+152=942 ; adjust:942-5=937 ; sum=937
sorting_algorithms
sorting_algorithms:merge-sort
2, 4, 5, 3, 6
[2,4,3,5,6] ; [2,3,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-14=35
7x-14=35 ; x+-2=5 ; x=5--2 ; x=7
linear_equation_solving
linear_equation_solving:inverse-ops
6x+24=18
6x+24=18 ; x=(18-24)/6 ; x=-6/6 ; x=-1
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-72=-112
8x-72=-112 ; 8x=-40 ; x=-5
sorting_algorithms
sorting_algorithms:merge-sort
3, 8, 9, 4, 6
[3,8,4,9,6] ; [3,4,8,9,6] ; [3,4,6,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
774+170
round:780+170=950 ; adjust:950-6=944 ; sum=944
base_conversion
base_conversion:repeated-division
n=101,base=4
DIV:101/4=25,r:1 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1211
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,4)
D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=18
6x+54=18 ; x+9=3 ; x=3-9 ; x=-6
sorting_algorithms
sorting_algorithms:bubble-sort
4, 3, 9, 7, 8
[3,4,9,7,8] ; [3,4,7,9,8] ; [3,4,7,8,9]
base_conversion
base_conversion:repeated-division
n=130,base=2
DIV:130/2=65,r:0 ; DIV:65/2=32,r:1 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:10000010
list_summation
list_summation:left-to-right
8, 0, 8, 2
8+0=8 ; 8+8=16 ; 16+2=18
list_summation
list_summation:pairwise
0, 5, 3, 6
0+5=5 ; 3+6=9 ; 5+9=14
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(4,5)
D:(3,4) ; D:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:left-to-right-partials
451+261
p100:400+200=600 ; p10:50+60=110 ; p1:1+1=2 ; sum=600+110+2=712
base_conversion
base_conversion:via-binary
n=210,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11010010
sorting_algorithms
sorting_algorithms:insertion-sort
6, 1, 3, 9, 2
[1,6,3,9,2] ; [1,3,6,9,2] ; [1,3,6,9,2] ; [1,2,3,6,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,5)
D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:left-to-right
0, 9, 2, 7
0+9=9 ; 9+2=11 ; 11+7=18
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+72=128
8x+72=128 ; 8x=56 ; x=7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+63=126
7x+63=126 ; 7x=63 ; x=9
sorting_algorithms
sorting_algorithms:insertion-sort
3, 9, 1, 7, 8
[3,9,1,7,8] ; [1,3,9,7,8] ; [1,3,7,9,8] ; [1,3,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(4,3)
R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:insertion-sort
8, 9, 5, 2, 4
[8,9,5,2,4] ; [5,8,9,2,4] ; [2,5,8,9,4] ; [2,4,5,8,9]
base_conversion
base_conversion:via-binary
n=181,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:5 ; OUT:B5
sorting_algorithms
sorting_algorithms:bubble-sort
9, 3, 8, 7, 6
[3,9,8,7,6] ; [3,8,9,7,6] ; [3,8,7,9,6] ; [3,8,7,6,9] ; [3,7,8,6,9] ; [3,7,6,8,9] ; [3,6,7,8,9]