Datasets:
awni00
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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
multidigit_addition
multidigit_addition:left-to-right-partials
962+388
p100:900+300=1200 ; p10:60+80=140 ; p1:2+8=10 ; sum=1200+140+10=1350
base_conversion
base_conversion:decomposition
n=227,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11100011
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
251+435
p100:200+400=600 ; p10:50+30=80 ; p1:1+5=6 ; sum=600+80+6=686
linear_equation_solving
linear_equation_solving:inverse-ops
8x+24=0
8x+24=0 ; x=(0-24)/8 ; x=-24/8 ; x=-3
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(5,4)
R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
1, 8, 5, 3, 9
[1,5,8,3,9] ; [1,5,3,8,9] ; [1,3,5,8,9]
list_summation
list_summation:left-to-right
9, 8, 3, 0
9+8=17 ; 17+3=20 ; 20+0=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:insertion-sort
3, 1, 8, 9, 6
[1,3,8,9,6] ; [1,3,8,9,6] ; [1,3,8,9,6] ; [1,3,6,8,9]
list_summation
list_summation:right-to-left
5, 3, 9, 8
9+8=17 ; 3+17=20 ; 5+20=25
multidigit_addition
multidigit_addition:left-to-right-partials
814+253
p100:800+200=1000 ; p10:10+50=60 ; p1:4+3=7 ; sum=1000+60+7=1067
list_summation
list_summation:left-to-right
7, 3, 0, 0
7+3=10 ; 10+0=10 ; 10+0=10
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-8=-32
8x-8=-32 ; 8x=-24 ; x=-3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
list_summation
list_summation:pairwise
5, 8, 5, 8
5+8=13 ; 5+8=13 ; 13+13=26
linear_equation_solving
linear_equation_solving:inverse-ops
6x+24=36
6x+24=36 ; x=(36-24)/6 ; x=12/6 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+48=72
8x+48=72 ; x=(72-48)/8 ; x=24/8 ; x=3
list_summation
list_summation:right-to-left
2, 2, 8, 1
8+1=9 ; 2+9=11 ; 2+11=13
base_conversion
base_conversion:decomposition
n=5,base=4
TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:11
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-6=-24
6x-6=-24 ; 6x=-18 ; x=-3
sorting_algorithms
sorting_algorithms:heap-sort
8, 9, 4, 5, 0
[9,8,4,5,0] ; [0,8,4,5,9] ; [8,0,4,5,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)
list_summation
list_summation:pairwise
5, 3, 5, 2
5+3=8 ; 5+2=7 ; 8+7=15
linear_equation_solving
linear_equation_solving:inverse-ops
4x-24=-4
4x-24=-4 ; x=(-4--24)/4 ; x=20/4 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
521+957
p100:500+900=1400 ; p10:20+50=70 ; p1:1+7=8 ; sum=1400+70+8=1478
base_conversion
base_conversion:repeated-division
n=129,base=4
DIV:129/4=32,r:1 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2001
multidigit_addition
multidigit_addition:right-to-left-carry
247+828
d2:7+8+0=15→w5,c1 ; d1:4+2+1=7→w7,c0 ; d0:2+8+0=10→w0,c1 ; sum=1075
list_summation
list_summation:left-to-right
1, 5, 6, 8
1+5=6 ; 6+6=12 ; 12+8=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(2,4)
R:(1,4) ; D:(2,4)
sorting_algorithms
sorting_algorithms:heap-sort
0, 3, 7, 5, 1
[0,5,7,3,1] ; [7,5,0,3,1] ; [1,5,0,3,7] ; [5,1,0,3,7] ; [5,3,0,1,7] ; [1,3,0,5,7] ; [3,1,0,5,7] ; [0,1,3,5,7] ; [1,0,3,5,7] ; [0,1,3,5,7]
list_summation
list_summation:right-to-left
5, 9, 6, 9
6+9=15 ; 9+15=24 ; 5+24=29
base_conversion
base_conversion:repeated-division
n=45,base=4
DIV:45/4=11,r:1 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:231
sorting_algorithms
sorting_algorithms:heap-sort
3, 0, 6, 2, 1
[3,2,6,0,1] ; [6,2,3,0,1] ; [1,2,3,0,6] ; [3,2,1,0,6] ; [0,2,1,3,6] ; [2,0,1,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6]
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 8, 4, 0
[0,1,8,4,6] ; [0,1,8,4,6] ; [0,1,4,8,6] ; [0,1,4,6,8]
sorting_algorithms
sorting_algorithms:selection-sort
0, 1, 4, 5, 3
[0,1,4,5,3] ; [0,1,4,5,3] ; [0,1,3,5,4] ; [0,1,3,4,5]
sorting_algorithms
sorting_algorithms:selection-sort
0, 4, 2, 8, 5
[0,4,2,8,5] ; [0,2,4,8,5] ; [0,2,4,8,5] ; [0,2,4,5,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(1,5)
R:(0,4) ; D:(1,4) ; R:(1,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; D:(3,3) ; R:(3,4)
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:insertion-sort
2, 8, 1, 0, 5
[2,8,1,0,5] ; [1,2,8,0,5] ; [0,1,2,8,5] ; [0,1,2,5,8]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 1, 7, 5, 8
[1,9,7,5,8] ; [1,7,9,5,8] ; [1,5,7,9,8] ; [1,5,7,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
146+823
d2:6+3+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:1+8+0=9→w9,c0 ; sum=969
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(4,4)
R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-56=-56
8x-56=-56 ; x+-7=-7 ; x=-7--7 ; x=0
base_conversion
base_conversion:repeated-division
n=27,base=8
DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:33
list_summation
list_summation:pairwise
6, 2, 8, 4
6+2=8 ; 8+4=12 ; 8+12=20
list_summation
list_summation:pairwise
1, 4, 5, 7
1+4=5 ; 5+7=12 ; 5+12=17
multidigit_addition
multidigit_addition:right-to-left-carry
753+140
d2:3+0+0=3→w3,c0 ; d1:5+4+0=9→w9,c0 ; d0:7+1+0=8→w8,c0 ; sum=893
multidigit_addition
multidigit_addition:left-to-right-partials
814+280
p100:800+200=1000 ; p10:10+80=90 ; p1:4+0=4 ; sum=1000+90+4=1094
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+9=6
3x+9=6 ; 3x=-3 ; x=-1
list_summation
list_summation:right-to-left
2, 0, 0, 3
0+3=3 ; 0+3=3 ; 2+3=5
multidigit_addition
multidigit_addition:right-to-left-carry
253+161
d2:3+1+0=4→w4,c0 ; d1:5+6+0=11→w1,c1 ; d0:2+1+1=4→w4,c0 ; sum=414
multidigit_addition
multidigit_addition:rounding-decomposition
610+351
round:610+351=961 ; adjust:961-0=961 ; sum=961
linear_equation_solving
linear_equation_solving:inverse-ops
6x+30=30
6x+30=30 ; x=(30-30)/6 ; x=0/6 ; x=0
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=24
6x+54=24 ; x+9=4 ; x=4-9 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 6, 4, 2
[7,3,6,4,2] ; [7,4,6,3,2] ; [2,4,6,3,7] ; [6,4,2,3,7] ; [3,4,2,6,7] ; [4,3,2,6,7] ; [2,3,4,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
413+523
p100:400+500=900 ; p10:10+20=30 ; p1:3+3=6 ; sum=900+30+6=936
list_summation
list_summation:right-to-left
9, 8, 1, 2
1+2=3 ; 8+3=11 ; 9+11=20
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(2,5)
D:(2,4) ; R:(2,5)
base_conversion
base_conversion:repeated-division
n=216,base=16
DIV:216/16=13,r:8 ; DIV:13/16=0,r:13 ; OUT:D8
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(5,4)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:via-binary
n=131,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10000011
list_summation
list_summation:pairwise
6, 5, 0, 7
6+5=11 ; 0+7=7 ; 11+7=18
list_summation
list_summation:pairwise
6, 5, 7, 2
6+5=11 ; 7+2=9 ; 11+9=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=12
6x+54=12 ; x+9=2 ; x=2-9 ; x=-7
sorting_algorithms
sorting_algorithms:merge-sort
6, 8, 7, 1, 9
[6,8,1,7,9] ; [1,6,7,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,5)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
8, 1, 8, 0
8+0=8 ; 1+8=9 ; 8+9=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(5,2)
R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
multidigit_addition
multidigit_addition:rounding-decomposition
372+590
round:380+590=970 ; adjust:970-8=962 ; sum=962
list_summation
list_summation:pairwise
4, 6, 0, 8
4+6=10 ; 0+8=8 ; 10+8=18
base_conversion
base_conversion:repeated-division
n=27,base=4
DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:123
linear_equation_solving
linear_equation_solving:inverse-ops
5x+40=40
5x+40=40 ; x=(40-40)/5 ; x=0/5 ; x=0
list_summation
list_summation:pairwise
5, 7, 0, 5
5+7=12 ; 0+5=5 ; 12+5=17
base_conversion
base_conversion:via-binary
n=163,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:3 ; OUT:A3
list_summation
list_summation:pairwise
6, 3, 9, 3
6+3=9 ; 9+3=12 ; 9+12=21
multidigit_addition
multidigit_addition:right-to-left-carry
346+576
d2:6+6+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:3+5+1=9→w9,c0 ; sum=922
list_summation
list_summation:left-to-right
8, 6, 8, 3
8+6=14 ; 14+8=22 ; 22+3=25
linear_equation_solving
linear_equation_solving:inverse-ops
7x-56=-77
7x-56=-77 ; x=(-77--56)/7 ; x=-21/7 ; x=-3
list_summation
list_summation:pairwise
0, 7, 2, 8
0+7=7 ; 2+8=10 ; 7+10=17
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
588+380
p100:500+300=800 ; p10:80+80=160 ; p1:8+0=8 ; sum=800+160+8=968
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-8=0
8x-8=0 ; x+-1=0 ; x=0--1 ; x=1
multidigit_addition
multidigit_addition:left-to-right-partials
901+671
p100:900+600=1500 ; p10:0+70=70 ; p1:1+1=2 ; sum=1500+70+2=1572
sorting_algorithms
sorting_algorithms:bubble-sort
7, 2, 1, 9, 5
[2,7,1,9,5] ; [2,1,7,9,5] ; [2,1,7,5,9] ; [1,2,7,5,9] ; [1,2,5,7,9]
list_summation
list_summation:left-to-right
2, 5, 3, 8
2+5=7 ; 7+3=10 ; 10+8=18
list_summation
list_summation:pairwise
1, 2, 3, 8
1+2=3 ; 3+8=11 ; 3+11=14
sorting_algorithms
sorting_algorithms:selection-sort
2, 0, 5, 6, 8
[0,2,5,6,8] ; [0,2,5,6,8] ; [0,2,5,6,8] ; [0,2,5,6,8]
linear_equation_solving
linear_equation_solving:inverse-ops
5x+5=35
5x+5=35 ; x=(35-5)/5 ; x=30/5 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+0=20
4x+0=20 ; x+0=5 ; x=5-0 ; x=5
base_conversion
base_conversion:via-binary
n=179,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:3 ; OUT:263
list_summation
list_summation:pairwise
5, 8, 9, 0
5+8=13 ; 9+0=9 ; 13+9=22
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-5=-40
5x-5=-40 ; x+-1=-8 ; x=-8--1 ; x=-7
list_summation
list_summation:pairwise
2, 2, 9, 0
2+2=4 ; 9+0=9 ; 4+9=13
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+0=24
8x+0=24 ; 8x=24 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
628+461
round:630+461=1091 ; adjust:1091-2=1089 ; sum=1089