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
multidigit_addition
multidigit_addition:left-to-right-partials
218+872
p100:200+800=1000 ; p10:10+70=80 ; p1:8+2=10 ; sum=1000+80+10=1090
multidigit_addition
multidigit_addition:left-to-right-partials
374+737
p100:300+700=1000 ; p10:70+30=100 ; p1:4+7=11 ; sum=1000+100+11=1111
base_conversion
base_conversion:via-binary
n=43,base=8
BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:3 ; OUT:53
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,3)
D:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:rounding-decomposition
326+582
round:330+582=912 ; adjust:912-4=908 ; sum=908
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,3)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 2, 6, 1, 8
[0,2,6,1,8] ; [0,2,6,1,8] ; [0,1,2,6,8] ; [0,1,2,6,8]
multidigit_addition
multidigit_addition:left-to-right-partials
470+121
p100:400+100=500 ; p10:70+20=90 ; p1:0+1=1 ; sum=500+90+1=591
multidigit_addition
multidigit_addition:right-to-left-carry
144+884
d2:4+4+0=8→w8,c0 ; d1:4+8+0=12→w2,c1 ; d0:1+8+1=10→w0,c1 ; sum=1028
base_conversion
base_conversion:decomposition
n=173,base=16
TERM:10*16^1=160 ; TERM:13*16^0=13 ; OUT:AD
multidigit_addition
multidigit_addition:right-to-left-carry
258+871
d2:8+1+0=9→w9,c0 ; d1:5+7+0=12→w2,c1 ; d0:2+8+1=11→w1,c1 ; sum=1129
multidigit_addition
multidigit_addition:rounding-decomposition
643+396
round:650+396=1046 ; adjust:1046-7=1039 ; sum=1039
list_summation
list_summation:right-to-left
1, 0, 3, 7
3+7=10 ; 0+10=10 ; 1+10=11
list_summation
list_summation:left-to-right
3, 7, 5, 8
3+7=10 ; 10+5=15 ; 15+8=23
list_summation
list_summation:pairwise
1, 1, 2, 0
1+1=2 ; 2+0=2 ; 2+2=4
base_conversion
base_conversion:via-binary
n=140,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:12 ; OUT:8C
multidigit_addition
multidigit_addition:left-to-right-partials
783+749
p100:700+700=1400 ; p10:80+40=120 ; p1:3+9=12 ; sum=1400+120+12=1532
base_conversion
base_conversion:decomposition
n=58,base=16
TERM:3*16^1=48 ; TERM:10*16^0=10 ; OUT:3A
multidigit_addition
multidigit_addition:rounding-decomposition
814+242
round:820+242=1062 ; adjust:1062-6=1056 ; sum=1056
list_summation
list_summation:pairwise
7, 2, 7, 8
7+2=9 ; 7+8=15 ; 9+15=24
sorting_algorithms
sorting_algorithms:selection-sort
5, 2, 3, 6, 7
[2,5,3,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
292+742
round:300+742=1042 ; adjust:1042-8=1034 ; sum=1034
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
list_summation
list_summation:left-to-right
6, 1, 1, 9
6+1=7 ; 7+1=8 ; 8+9=17
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(3,4)
D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+6=6
3x+6=6 ; x+2=2 ; x=2-2 ; x=0
base_conversion
base_conversion:repeated-division
n=190,base=4
DIV:190/4=47,r:2 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2332
multidigit_addition
multidigit_addition:rounding-decomposition
741+258
round:750+258=1008 ; adjust:1008-9=999 ; sum=999
multidigit_addition
multidigit_addition:left-to-right-partials
399+455
p100:300+400=700 ; p10:90+50=140 ; p1:9+5=14 ; sum=700+140+14=854
multidigit_addition
multidigit_addition:left-to-right-partials
148+642
p100:100+600=700 ; p10:40+40=80 ; p1:8+2=10 ; sum=700+80+10=790
multidigit_addition
multidigit_addition:right-to-left-carry
156+695
d2:6+5+0=11→w1,c1 ; d1:5+9+1=15→w5,c1 ; d0:1+6+1=8→w8,c0 ; sum=851
base_conversion
base_conversion:decomposition
n=8,base=2
TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000
multidigit_addition
multidigit_addition:rounding-decomposition
223+656
round:230+656=886 ; adjust:886-7=879 ; sum=879
sorting_algorithms
sorting_algorithms:heap-sort
1, 2, 9, 3, 6
[1,6,9,3,2] ; [9,6,1,3,2] ; [2,6,1,3,9] ; [6,2,1,3,9] ; [6,3,1,2,9] ; [2,3,1,6,9] ; [3,2,1,6,9] ; [1,2,3,6,9] ; [2,1,3,6,9] ; [1,2,3,6,9]
list_summation
list_summation:pairwise
5, 8, 8, 0
5+8=13 ; 8+0=8 ; 13+8=21
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(4,2)
R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2)
list_summation
list_summation:left-to-right
1, 7, 5, 5
1+7=8 ; 8+5=13 ; 13+5=18
sorting_algorithms
sorting_algorithms:heap-sort
5, 0, 7, 9, 6
[5,9,7,0,6] ; [9,5,7,0,6] ; [9,6,7,0,5] ; [5,6,7,0,9] ; [7,6,5,0,9] ; [0,6,5,7,9] ; [6,0,5,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-42=-63
7x-42=-63 ; x+-6=-9 ; x=-9--6 ; x=-3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,5)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,4)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(1,5)
R:(0,4) ; D:(1,4) ; R:(1,5)
sorting_algorithms
sorting_algorithms:merge-sort
8, 5, 0, 6, 2
[5,8,0,6,2] ; [0,5,6,8,2] ; [0,2,5,6,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,4)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+45=126
9x+45=126 ; 9x=81 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+72=0
9x+72=0 ; 9x=-72 ; x=-8
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-36=-64
4x-36=-64 ; 4x=-28 ; x=-7
multidigit_addition
multidigit_addition:right-to-left-carry
230+281
d2:0+1+0=1→w1,c0 ; d1:3+8+0=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=511
sorting_algorithms
sorting_algorithms:heap-sort
0, 2, 8, 7, 4
[0,7,8,2,4] ; [8,7,0,2,4] ; [4,7,0,2,8] ; [7,4,0,2,8] ; [2,4,0,7,8] ; [4,2,0,7,8] ; [0,2,4,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
652+413
d2:2+3+0=5→w5,c0 ; d1:5+1+0=6→w6,c0 ; d0:6+4+0=10→w0,c1 ; sum=1065
sorting_algorithms
sorting_algorithms:heap-sort
6, 4, 3, 5, 2
[6,5,3,4,2] ; [2,5,3,4,6] ; [5,2,3,4,6] ; [5,4,3,2,6] ; [2,4,3,5,6] ; [4,2,3,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6]
sorting_algorithms
sorting_algorithms:selection-sort
3, 7, 0, 1, 6
[0,7,3,1,6] ; [0,1,3,7,6] ; [0,1,3,7,6] ; [0,1,3,6,7]
base_conversion
base_conversion:via-binary
n=253,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11111101
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:merge-sort
6, 7, 2, 9, 8
[2,6,7,9,8] ; [2,6,7,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
708+688
round:710+688=1398 ; adjust:1398-2=1396 ; sum=1396
list_summation
list_summation:pairwise
9, 5, 2, 0
9+5=14 ; 2+0=2 ; 14+2=16
linear_equation_solving
linear_equation_solving:inverse-ops
5x-25=-40
5x-25=-40 ; x=(-40--25)/5 ; x=-15/5 ; x=-3
linear_equation_solving
linear_equation_solving:inverse-ops
9x-27=-99
9x-27=-99 ; x=(-99--27)/9 ; x=-72/9 ; x=-8
list_summation
list_summation:left-to-right
9, 9, 0, 6
9+9=18 ; 18+0=18 ; 18+6=24
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,1)
R:(4,1) ; D:(5,1)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
multidigit_addition
multidigit_addition:right-to-left-carry
199+186
d2:9+6+0=15→w5,c1 ; d1:9+8+1=18→w8,c1 ; d0:1+1+1=3→w3,c0 ; sum=385
list_summation
list_summation:left-to-right
0, 4, 4, 6
0+4=4 ; 4+4=8 ; 8+6=14
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(5,2)
R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,4)
D:(2,3) ; D:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:left-to-right-partials
396+174
p100:300+100=400 ; p10:90+70=160 ; p1:6+4=10 ; sum=400+160+10=570
multidigit_addition
multidigit_addition:rounding-decomposition
875+944
round:880+944=1824 ; adjust:1824-5=1819 ; sum=1819
list_summation
list_summation:left-to-right
1, 7, 9, 7
1+7=8 ; 8+9=17 ; 17+7=24
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 3, 2, 4
[9,4,3,2,0] ; [0,4,3,2,9] ; [4,0,3,2,9] ; [4,2,3,0,9] ; [0,2,3,4,9] ; [3,2,0,4,9] ; [0,2,3,4,9] ; [2,0,3,4,9] ; [0,2,3,4,9]
multidigit_addition
multidigit_addition:right-to-left-carry
568+771
d2:8+1+0=9→w9,c0 ; d1:6+7+0=13→w3,c1 ; d0:5+7+1=13→w3,c1 ; sum=1339
list_summation
list_summation:right-to-left
0, 0, 3, 0
3+0=3 ; 0+3=3 ; 0+3=3
list_summation
list_summation:left-to-right
0, 6, 6, 7
0+6=6 ; 6+6=12 ; 12+7=19
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:via-binary
n=216,base=16
BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:8 ; OUT:D8
base_conversion
base_conversion:decomposition
n=244,base=8
TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:364
list_summation
list_summation:left-to-right
1, 2, 5, 5
1+2=3 ; 3+5=8 ; 8+5=13
multidigit_addition
multidigit_addition:left-to-right-partials
555+960
p100:500+900=1400 ; p10:50+60=110 ; p1:5+0=5 ; sum=1400+110+5=1515
sorting_algorithms
sorting_algorithms:merge-sort
9, 2, 8, 5, 4
[2,9,8,5,4] ; [2,9,5,8,4] ; [2,5,8,9,4] ; [2,4,5,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-12=-12
2x-12=-12 ; 2x=0 ; x=0
multidigit_addition
multidigit_addition:rounding-decomposition
375+914
round:380+914=1294 ; adjust:1294-5=1289 ; sum=1289
list_summation
list_summation:pairwise
0, 7, 3, 2
0+7=7 ; 3+2=5 ; 7+5=12
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-15=-20
5x-15=-20 ; x+-3=-4 ; x=-4--3 ; x=-1
base_conversion
base_conversion:repeated-division
n=1,base=2
DIV:1/2=0,r:1 ; OUT:1
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-54=9
9x-54=9 ; x+-6=1 ; x=1--6 ; x=7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(3,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4)
sorting_algorithms
sorting_algorithms:insertion-sort
6, 7, 4, 9, 3
[6,7,4,9,3] ; [4,6,7,9,3] ; [4,6,7,9,3] ; [3,4,6,7,9]
sorting_algorithms
sorting_algorithms:selection-sort
6, 7, 1, 3, 9
[1,7,6,3,9] ; [1,3,6,7,9] ; [1,3,6,7,9] ; [1,3,6,7,9]
base_conversion
base_conversion:decomposition
n=33,base=16
TERM:2*16^1=32 ; TERM:1*16^0=1 ; OUT:21
sorting_algorithms
sorting_algorithms:selection-sort
8, 4, 1, 6, 0
[0,4,1,6,8] ; [0,1,4,6,8] ; [0,1,4,6,8] ; [0,1,4,6,8]
multidigit_addition
multidigit_addition:left-to-right-partials
783+597
p100:700+500=1200 ; p10:80+90=170 ; p1:3+7=10 ; sum=1200+170+10=1380
base_conversion
base_conversion:repeated-division
n=144,base=8
DIV:144/8=18,r:0 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:220
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,5)
D:(4,3) ; R:(4,4) ; R:(4,5)
list_summation
list_summation:left-to-right
9, 3, 9, 7
9+3=12 ; 12+9=21 ; 21+7=28
base_conversion
base_conversion:decomposition
n=26,base=8
TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:32
sorting_algorithms
sorting_algorithms:merge-sort
2, 4, 3, 1, 7
[2,4,1,3,7] ; [1,2,3,4,7]
list_summation
list_summation:pairwise
3, 2, 3, 6
3+2=5 ; 3+6=9 ; 5+9=14
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,3)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
list_summation
list_summation:left-to-right
8, 2, 5, 6
8+2=10 ; 10+5=15 ; 15+6=21
list_summation
list_summation:left-to-right
4, 0, 8, 7
4+0=4 ; 4+8=12 ; 12+7=19