Datasets:
awni00
/
multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
 Community
1
task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
list_summation
list_summation:right-to-left
6, 4, 3, 5
3+5=8 ; 4+8=12 ; 6+12=18
multidigit_addition
multidigit_addition:right-to-left-carry
357+940
d2:7+0+0=7→w7,c0 ; d1:5+4+0=9→w9,c0 ; d0:3+9+0=12→w2,c1 ; sum=1297
sorting_algorithms
sorting_algorithms:merge-sort
8, 6, 2, 5, 4
[6,8,2,5,4] ; [2,5,6,8,4] ; [2,4,5,6,8]
base_conversion
base_conversion:via-binary
n=146,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10010010
base_conversion
base_conversion:decomposition
n=136,base=4
TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:2020
base_conversion
base_conversion:via-binary
n=255,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3333
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(2,4)
R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4)
base_conversion
base_conversion:decomposition
n=113,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:1*8^0=1 ; OUT:161
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=3
3x+12=3 ; x=(3-12)/3 ; x=-9/3 ; x=-3
sorting_algorithms
sorting_algorithms:selection-sort
5, 9, 8, 1, 7
[1,9,8,5,7] ; [1,5,8,9,7] ; [1,5,7,9,8] ; [1,5,7,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
177+261
round:180+261=441 ; adjust:441-3=438 ; sum=438
base_conversion
base_conversion:repeated-division
n=84,base=8
DIV:84/8=10,r:4 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:124
sorting_algorithms
sorting_algorithms:heap-sort
2, 4, 1, 3, 5
[2,5,1,3,4] ; [5,2,1,3,4] ; [5,4,1,3,2] ; [2,4,1,3,5] ; [4,2,1,3,5] ; [4,3,1,2,5] ; [2,3,1,4,5] ; [3,2,1,4,5] ; [1,2,3,4,5] ; [2,1,3,4,5] ; [1,2,3,4,5]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 1, 5, 3, 6
[0,1,5,3,6] ; [0,1,5,3,6] ; [0,1,3,5,6] ; [0,1,3,5,6]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+3=18
3x+3=18 ; x=(18-3)/3 ; x=15/3 ; x=5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(3,5)
R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
767+650
p100:700+600=1300 ; p10:60+50=110 ; p1:7+0=7 ; sum=1300+110+7=1417
sorting_algorithms
sorting_algorithms:bubble-sort
3, 6, 5, 0, 1
[3,5,6,0,1] ; [3,5,0,6,1] ; [3,5,0,1,6] ; [3,0,5,1,6] ; [3,0,1,5,6] ; [0,3,1,5,6] ; [0,1,3,5,6]
multidigit_addition
multidigit_addition:right-to-left-carry
236+422
d2:6+2+0=8→w8,c0 ; d1:3+2+0=5→w5,c0 ; d0:2+4+0=6→w6,c0 ; sum=658
linear_equation_solving
linear_equation_solving:inverse-ops
7x-49=7
7x-49=7 ; x=(7--49)/7 ; x=56/7 ; x=8
sorting_algorithms
sorting_algorithms:selection-sort
3, 8, 1, 2, 5
[1,8,3,2,5] ; [1,2,3,8,5] ; [1,2,3,8,5] ; [1,2,3,5,8]
base_conversion
base_conversion:repeated-division
n=150,base=16
DIV:150/16=9,r:6 ; DIV:9/16=0,r:9 ; OUT:96
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(2,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4)
list_summation
list_summation:left-to-right
5, 4, 1, 5
5+4=9 ; 9+1=10 ; 10+5=15
multidigit_addition
multidigit_addition:rounding-decomposition
196+777
round:200+777=977 ; adjust:977-4=973 ; sum=973
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(2,5)
D:(2,4) ; R:(2,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x-35=-20
5x-35=-20 ; x=(-20--35)/5 ; x=15/5 ; x=3
base_conversion
base_conversion:repeated-division
n=22,base=4
DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:112
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:right-to-left-carry
392+274
d2:2+4+0=6→w6,c0 ; d1:9+7+0=16→w6,c1 ; d0:3+2+1=6→w6,c0 ; sum=666
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(3,5)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:pairwise
7, 3, 0, 4
7+3=10 ; 0+4=4 ; 10+4=14
base_conversion
base_conversion:decomposition
n=41,base=8
TERM:5*8^1=40 ; TERM:1*8^0=1 ; OUT:51
linear_equation_solving
linear_equation_solving:inverse-ops
7x+49=84
7x+49=84 ; x=(84-49)/7 ; x=35/7 ; x=5
base_conversion
base_conversion:via-binary
n=233,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:1 ; OUT:351
base_conversion
base_conversion:repeated-division
n=46,base=8
DIV:46/8=5,r:6 ; DIV:5/8=0,r:5 ; OUT:56
base_conversion
base_conversion:decomposition
n=23,base=16
TERM:1*16^1=16 ; TERM:7*16^0=7 ; OUT:17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
list_summation
list_summation:pairwise
3, 5, 9, 8
3+5=8 ; 9+8=17 ; 8+17=25
sorting_algorithms
sorting_algorithms:selection-sort
4, 1, 3, 5, 8
[1,4,3,5,8] ; [1,3,4,5,8] ; [1,3,4,5,8] ; [1,3,4,5,8]
multidigit_addition
multidigit_addition:rounding-decomposition
583+617
round:590+617=1207 ; adjust:1207-7=1200 ; sum=1200
base_conversion
base_conversion:decomposition
n=116,base=16
TERM:7*16^1=112 ; TERM:4*16^0=4 ; OUT:74
sorting_algorithms
sorting_algorithms:merge-sort
5, 2, 1, 0, 6
[2,5,1,0,6] ; [2,5,0,1,6] ; [0,1,2,5,6]
sorting_algorithms
sorting_algorithms:selection-sort
8, 1, 4, 5, 7
[1,8,4,5,7] ; [1,4,8,5,7] ; [1,4,5,8,7] ; [1,4,5,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
4, 1, 5, 0, 2
[1,4,5,0,2] ; [1,4,0,5,2] ; [0,1,4,5,2] ; [0,1,2,4,5]
base_conversion
base_conversion:repeated-division
n=150,base=16
DIV:150/16=9,r:6 ; DIV:9/16=0,r:9 ; OUT:96
base_conversion
base_conversion:decomposition
n=133,base=8
TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:5*8^0=5 ; OUT:205
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(2,4)
D:(2,2) ; R:(2,3) ; R:(2,4)
base_conversion
base_conversion:decomposition
n=178,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10110010
sorting_algorithms
sorting_algorithms:selection-sort
0, 9, 7, 2, 5
[0,9,7,2,5] ; [0,2,7,9,5] ; [0,2,5,9,7] ; [0,2,5,7,9]
base_conversion
base_conversion:via-binary
n=186,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2322
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 1, 4, 7
[2,6,1,4,7] ; [2,1,6,4,7] ; [2,1,4,6,7] ; [1,2,4,6,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+48=0
6x+48=0 ; x+8=0 ; x=0-8 ; x=-8
multidigit_addition
multidigit_addition:left-to-right-partials
614+248
p100:600+200=800 ; p10:10+40=50 ; p1:4+8=12 ; sum=800+50+12=862
linear_equation_solving
linear_equation_solving:inverse-ops
9x-72=-9
9x-72=-9 ; x=(-9--72)/9 ; x=63/9 ; x=7
list_summation
list_summation:pairwise
1, 1, 6, 0
1+1=2 ; 6+0=6 ; 2+6=8
base_conversion
base_conversion:repeated-division
n=155,base=8
DIV:155/8=19,r:3 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:233
sorting_algorithms
sorting_algorithms:insertion-sort
4, 8, 6, 0, 1
[4,8,6,0,1] ; [4,6,8,0,1] ; [0,4,6,8,1] ; [0,1,4,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-2=-14
2x-2=-14 ; x+-1=-7 ; x=-7--1 ; x=-6
list_summation
list_summation:pairwise
7, 7, 8, 8
7+7=14 ; 8+8=16 ; 14+16=30
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(3,4)
D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-8=-12
2x-8=-12 ; x+-4=-6 ; x=-6--4 ; x=-2
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-18=-18
6x-18=-18 ; 6x=0 ; x=0
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+27=30
3x+27=30 ; 3x=3 ; x=1
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-12=30
6x-12=30 ; x+-2=5 ; x=5--2 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:heap-sort
0, 5, 8, 6, 2
[0,6,8,5,2] ; [8,6,0,5,2] ; [2,6,0,5,8] ; [6,2,0,5,8] ; [6,5,0,2,8] ; [2,5,0,6,8] ; [5,2,0,6,8] ; [0,2,5,6,8] ; [2,0,5,6,8] ; [0,2,5,6,8]
sorting_algorithms
sorting_algorithms:heap-sort
4, 3, 9, 7, 5
[4,7,9,3,5] ; [9,7,4,3,5] ; [5,7,4,3,9] ; [7,5,4,3,9] ; [3,5,4,7,9] ; [5,3,4,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
292+687
round:300+687=987 ; adjust:987-8=979 ; sum=979
sorting_algorithms
sorting_algorithms:selection-sort
2, 9, 6, 5, 3
[2,9,6,5,3] ; [2,3,6,5,9] ; [2,3,5,6,9] ; [2,3,5,6,9]
sorting_algorithms
sorting_algorithms:heap-sort
9, 8, 3, 1, 4
[4,8,3,1,9] ; [8,4,3,1,9] ; [1,4,3,8,9] ; [4,1,3,8,9] ; [3,1,4,8,9] ; [1,3,4,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
6, 1, 4, 7, 2
[1,6,4,7,2] ; [1,4,6,7,2] ; [1,2,4,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
798+362
round:800+362=1162 ; adjust:1162-2=1160 ; sum=1160
base_conversion
base_conversion:via-binary
n=67,base=16
BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:3 ; OUT:43
list_summation
list_summation:right-to-left
1, 0, 4, 4
4+4=8 ; 0+8=8 ; 1+8=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+15=-9
3x+15=-9 ; 3x=-24 ; x=-8
list_summation
list_summation:pairwise
2, 3, 3, 5
2+3=5 ; 3+5=8 ; 5+8=13
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4)
list_summation
list_summation:left-to-right
2, 7, 7, 5
2+7=9 ; 9+7=16 ; 16+5=21
multidigit_addition
multidigit_addition:rounding-decomposition
983+503
round:990+503=1493 ; adjust:1493-7=1486 ; sum=1486
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+20=4
4x+20=4 ; x+5=1 ; x=1-5 ; x=-4
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 8, 6, 3
[2,9,8,6,3] ; [2,8,9,6,3] ; [2,8,6,9,3] ; [2,8,6,3,9] ; [2,6,8,3,9] ; [2,6,3,8,9] ; [2,3,6,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+16=32
8x+16=32 ; x+2=4 ; x=4-2 ; x=2
multidigit_addition
multidigit_addition:rounding-decomposition
252+970
round:260+970=1230 ; adjust:1230-8=1222 ; sum=1222
list_summation
list_summation:pairwise
1, 9, 0, 8
1+9=10 ; 0+8=8 ; 10+8=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+18=-3
3x+18=-3 ; x+6=-1 ; x=-1-6 ; x=-7
sorting_algorithms
sorting_algorithms:bubble-sort
3, 2, 4, 0, 6
[2,3,4,0,6] ; [2,3,0,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6]
sorting_algorithms
sorting_algorithms:heap-sort
1, 7, 8, 4, 3
[8,7,1,4,3] ; [3,7,1,4,8] ; [7,3,1,4,8] ; [7,4,1,3,8] ; [3,4,1,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-32=-8
8x-32=-8 ; x+-4=-1 ; x=-1--4 ; x=3
list_summation
list_summation:right-to-left
5, 9, 7, 3
7+3=10 ; 9+10=19 ; 5+19=24
base_conversion
base_conversion:via-binary
n=151,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:7 ; OUT:97
list_summation
list_summation:right-to-left
0, 7, 3, 7
3+7=10 ; 7+10=17 ; 0+17=17
multidigit_addition
multidigit_addition:rounding-decomposition
525+658
round:530+658=1188 ; adjust:1188-5=1183 ; sum=1183
multidigit_addition
multidigit_addition:right-to-left-carry
513+363
d2:3+3+0=6→w6,c0 ; d1:1+6+0=7→w7,c0 ; d0:5+3+0=8→w8,c0 ; sum=876
base_conversion
base_conversion:decomposition
n=124,base=4
TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1330
base_conversion
base_conversion:repeated-division
n=81,base=2
DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010001