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
list_summation
list_summation:left-to-right
1, 7, 5, 7
1+7=8 ; 8+5=13 ; 13+7=20
multidigit_addition
multidigit_addition:rounding-decomposition
552+615
round:560+615=1175 ; adjust:1175-8=1167 ; sum=1167
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+42=78
6x+42=78 ; 6x=36 ; x=6
list_summation
list_summation:pairwise
2, 2, 4, 8
2+2=4 ; 4+8=12 ; 4+12=16
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 7, 3, 1
[2,6,7,3,1] ; [2,6,3,7,1] ; [2,6,3,1,7] ; [2,3,6,1,7] ; [2,3,1,6,7] ; [2,1,3,6,7] ; [1,2,3,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
894+128
p100:800+100=900 ; p10:90+20=110 ; p1:4+8=12 ; sum=900+110+12=1022
multidigit_addition
multidigit_addition:right-to-left-carry
705+261
d2:5+1+0=6→w6,c0 ; d1:0+6+0=6→w6,c0 ; d0:7+2+0=9→w9,c0 ; sum=966
multidigit_addition
multidigit_addition:right-to-left-carry
325+979
d2:5+9+0=14→w4,c1 ; d1:2+7+1=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1304
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)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+28=14
7x+28=14 ; x+4=2 ; x=2-4 ; x=-2
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,3)
D:(3,2) ; D:(4,2) ; R:(4,3)
multidigit_addition
multidigit_addition:rounding-decomposition
485+479
round:490+479=969 ; adjust:969-5=964 ; sum=964
list_summation
list_summation:pairwise
4, 9, 0, 3
4+9=13 ; 0+3=3 ; 13+3=16
list_summation
list_summation:right-to-left
4, 8, 4, 3
4+3=7 ; 8+7=15 ; 4+15=19
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+9=12
3x+9=12 ; 3x=3 ; x=1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(2,4)
D:(1,3) ; D:(2,3) ; R:(2,4)
multidigit_addition
multidigit_addition:right-to-left-carry
498+537
d2:8+7+0=15→w5,c1 ; d1:9+3+1=13→w3,c1 ; d0:4+5+1=10→w0,c1 ; sum=1035
multidigit_addition
multidigit_addition:left-to-right-partials
215+406
p100:200+400=600 ; p10:10+0=10 ; p1:5+6=11 ; sum=600+10+11=621
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(4,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:selection-sort
5, 8, 6, 2, 9
[2,8,6,5,9] ; [2,5,6,8,9] ; [2,5,6,8,9] ; [2,5,6,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
4, 7, 8, 2, 6
[4,7,8,2,6] ; [4,7,8,2,6] ; [2,4,7,8,6] ; [2,4,6,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
665+970
p100:600+900=1500 ; p10:60+70=130 ; p1:5+0=5 ; sum=1500+130+5=1635
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:merge-sort
6, 1, 9, 3, 5
[1,6,9,3,5] ; [1,6,3,9,5] ; [1,3,6,9,5] ; [1,3,5,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=9
3x+12=9 ; x=(9-12)/3 ; x=-3/3 ; x=-1
list_summation
list_summation:left-to-right
4, 0, 4, 6
4+0=4 ; 4+4=8 ; 8+6=14
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(3,5)
R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5)
base_conversion
base_conversion:via-binary
n=168,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10101000
list_summation
list_summation:left-to-right
4, 2, 1, 7
4+2=6 ; 6+1=7 ; 7+7=14
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+6=-9
3x+6=-9 ; x+2=-3 ; x=-3-2 ; x=-5
sorting_algorithms
sorting_algorithms:heap-sort
0, 7, 1, 8, 5
[0,8,1,7,5] ; [8,0,1,7,5] ; [8,7,1,0,5] ; [5,7,1,0,8] ; [7,5,1,0,8] ; [0,5,1,7,8] ; [5,0,1,7,8] ; [1,0,5,7,8] ; [0,1,5,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
590+183
round:590+183=773 ; adjust:773-0=773 ; sum=773
base_conversion
base_conversion:via-binary
n=53,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:311
list_summation
list_summation:right-to-left
0, 4, 9, 4
9+4=13 ; 4+13=17 ; 0+17=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,5)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
7, 6, 5, 9
7+6=13 ; 13+5=18 ; 18+9=27
list_summation
list_summation:right-to-left
0, 3, 6, 1
6+1=7 ; 3+7=10 ; 0+10=10
list_summation
list_summation:pairwise
0, 4, 6, 5
0+4=4 ; 6+5=11 ; 4+11=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+15=36
3x+15=36 ; x+5=12 ; x=12-5 ; x=7
base_conversion
base_conversion:repeated-division
n=153,base=2
DIV:153/2=76,r:1 ; DIV:76/2=38,r:0 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011001
multidigit_addition
multidigit_addition:rounding-decomposition
800+799
round:800+799=1599 ; adjust:1599-0=1599 ; sum=1599
sorting_algorithms
sorting_algorithms:selection-sort
2, 0, 7, 4, 9
[0,2,7,4,9] ; [0,2,7,4,9] ; [0,2,4,7,9] ; [0,2,4,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(4,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=98,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:142
list_summation
list_summation:pairwise
7, 1, 7, 8
7+1=8 ; 7+8=15 ; 8+15=23
sorting_algorithms
sorting_algorithms:insertion-sort
9, 3, 2, 4, 6
[3,9,2,4,6] ; [2,3,9,4,6] ; [2,3,4,9,6] ; [2,3,4,6,9]
sorting_algorithms
sorting_algorithms:heap-sort
3, 4, 2, 5, 9
[3,9,2,5,4] ; [9,3,2,5,4] ; [9,5,2,3,4] ; [4,5,2,3,9] ; [5,4,2,3,9] ; [3,4,2,5,9] ; [4,3,2,5,9] ; [2,3,4,5,9] ; [3,2,4,5,9] ; [2,3,4,5,9]
sorting_algorithms
sorting_algorithms:selection-sort
3, 1, 2, 9, 0
[0,1,2,9,3] ; [0,1,2,9,3] ; [0,1,2,9,3] ; [0,1,2,3,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-25=-40
5x-25=-40 ; 5x=-15 ; x=-3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(4,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:repeated-division
n=130,base=16
DIV:130/16=8,r:2 ; DIV:8/16=0,r:8 ; OUT:82
base_conversion
base_conversion:decomposition
n=105,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1101001
sorting_algorithms
sorting_algorithms:selection-sort
2, 6, 1, 8, 9
[1,6,2,8,9] ; [1,2,6,8,9] ; [1,2,6,8,9] ; [1,2,6,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(4,5)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+45=9
9x+45=9 ; 9x=-36 ; x=-4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:merge-sort
7, 8, 1, 3, 6
[1,3,7,8,6] ; [1,3,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
465+335
round:470+335=805 ; adjust:805-5=800 ; sum=800
multidigit_addition
multidigit_addition:right-to-left-carry
979+594
d2:9+4+0=13→w3,c1 ; d1:7+9+1=17→w7,c1 ; d0:9+5+1=15→w5,c1 ; sum=1573
list_summation
list_summation:pairwise
0, 6, 6, 9
0+6=6 ; 6+9=15 ; 6+15=21
list_summation
list_summation:right-to-left
5, 7, 3, 7
3+7=10 ; 7+10=17 ; 5+17=22
multidigit_addition
multidigit_addition:rounding-decomposition
282+599
round:290+599=889 ; adjust:889-8=881 ; sum=881
base_conversion
base_conversion:repeated-division
n=105,base=8
DIV:105/8=13,r:1 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:151
sorting_algorithms
sorting_algorithms:selection-sort
8, 6, 1, 3, 4
[1,6,8,3,4] ; [1,3,8,6,4] ; [1,3,4,6,8] ; [1,3,4,6,8]
multidigit_addition
multidigit_addition:rounding-decomposition
134+388
round:140+388=528 ; adjust:528-6=522 ; sum=522
sorting_algorithms
sorting_algorithms:bubble-sort
4, 7, 2, 5, 3
[4,2,7,5,3] ; [4,2,5,7,3] ; [4,2,5,3,7] ; [2,4,5,3,7] ; [2,4,3,5,7] ; [2,3,4,5,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=68
4x+36=68 ; x+9=17 ; x=17-9 ; x=8
base_conversion
base_conversion:repeated-division
n=174,base=2
DIV:174/2=87,r:0 ; DIV:87/2=43,r:1 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; 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:10101110
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=108
9x+45=108 ; x+5=12 ; x=12-5 ; x=7
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-21=0
3x-21=0 ; 3x=21 ; x=7
list_summation
list_summation:left-to-right
6, 3, 4, 4
6+3=9 ; 9+4=13 ; 13+4=17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(5,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+0=-49
7x+0=-49 ; 7x=-49 ; x=-7
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=209,base=8
DIV:209/8=26,r:1 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:321
base_conversion
base_conversion:repeated-division
n=79,base=2
DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1001111
multidigit_addition
multidigit_addition:rounding-decomposition
779+807
round:780+807=1587 ; adjust:1587-1=1586 ; sum=1586
base_conversion
base_conversion:repeated-division
n=215,base=16
DIV:215/16=13,r:7 ; DIV:13/16=0,r:13 ; OUT:D7
linear_equation_solving
linear_equation_solving:inverse-ops
6x+54=12
6x+54=12 ; x=(12-54)/6 ; x=-42/6 ; x=-7
base_conversion
base_conversion:repeated-division
n=95,base=2
DIV:95/2=47,r:1 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011111
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(4,4)
R:(3,3) ; D:(4,3) ; R:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+28=24
4x+28=24 ; x+7=6 ; x=6-7 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
606+688
d2:6+8+0=14→w4,c1 ; d1:0+8+1=9→w9,c0 ; d0:6+6+0=12→w2,c1 ; sum=1294
sorting_algorithms
sorting_algorithms:merge-sort
5, 0, 8, 3, 6
[0,5,8,3,6] ; [0,5,3,8,6] ; [0,3,5,8,6] ; [0,3,5,6,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
base_conversion
base_conversion:repeated-division
n=130,base=16
DIV:130/16=8,r:2 ; DIV:8/16=0,r:8 ; OUT:82
sorting_algorithms
sorting_algorithms:merge-sort
9, 0, 3, 1, 7
[0,9,3,1,7] ; [0,9,1,3,7] ; [0,1,3,9,7] ; [0,1,3,7,9]
list_summation
list_summation:right-to-left
1, 1, 6, 0
6+0=6 ; 1+6=7 ; 1+7=8
list_summation
list_summation:pairwise
2, 2, 2, 7
2+2=4 ; 2+7=9 ; 4+9=13
list_summation
list_summation:left-to-right
4, 5, 7, 3
4+5=9 ; 9+7=16 ; 16+3=19
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+16=8
2x+16=8 ; x+8=4 ; x=4-8 ; x=-4
multidigit_addition
multidigit_addition:rounding-decomposition
621+228
round:630+228=858 ; adjust:858-9=849 ; sum=849
multidigit_addition
multidigit_addition:right-to-left-carry
554+508
d2:4+8+0=12→w2,c1 ; d1:5+0+1=6→w6,c0 ; d0:5+5+0=10→w0,c1 ; sum=1062
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-4=-16
2x-4=-16 ; x+-2=-8 ; x=-8--2 ; x=-6
list_summation
list_summation:pairwise
8, 7, 7, 3
8+7=15 ; 7+3=10 ; 15+10=25