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
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-6=0
3x-6=0 ; x+-2=0 ; x=0--2 ; x=2
list_summation
list_summation:right-to-left
6, 6, 1, 0
1+0=1 ; 6+1=7 ; 6+7=13
base_conversion
base_conversion:via-binary
n=142,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10001110
sorting_algorithms
sorting_algorithms:insertion-sort
0, 1, 3, 6, 4
[0,1,3,6,4] ; [0,1,3,6,4] ; [0,1,3,6,4] ; [0,1,3,4,6]
list_summation
list_summation:right-to-left
9, 3, 9, 1
9+1=10 ; 3+10=13 ; 9+13=22
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+40=35
5x+40=35 ; 5x=-5 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
625+604
round:630+604=1234 ; adjust:1234-5=1229 ; sum=1229
linear_equation_solving
linear_equation_solving:inverse-ops
3x+24=21
3x+24=21 ; x=(21-24)/3 ; x=-3/3 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,5)
D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
base_conversion
base_conversion:via-binary
n=158,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:14 ; OUT:9E
multidigit_addition
multidigit_addition:rounding-decomposition
127+113
round:130+113=243 ; adjust:243-3=240 ; sum=240
sorting_algorithms
sorting_algorithms:insertion-sort
5, 2, 8, 4, 3
[2,5,8,4,3] ; [2,5,8,4,3] ; [2,4,5,8,3] ; [2,3,4,5,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
117+390
round:120+390=510 ; adjust:510-3=507 ; sum=507
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(5,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(4,4)
R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
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)
list_summation
list_summation:right-to-left
3, 0, 0, 8
0+8=8 ; 0+8=8 ; 3+8=11
multidigit_addition
multidigit_addition:rounding-decomposition
497+654
round:500+654=1154 ; adjust:1154-3=1151 ; sum=1151
list_summation
list_summation:pairwise
1, 4, 3, 6
1+4=5 ; 3+6=9 ; 5+9=14
sorting_algorithms
sorting_algorithms:bubble-sort
1, 7, 3, 9, 8
[1,3,7,9,8] ; [1,3,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
634+140
p100:600+100=700 ; p10:30+40=70 ; p1:4+0=4 ; sum=700+70+4=774
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+56=56
7x+56=56 ; 7x=0 ; x=0
sorting_algorithms
sorting_algorithms:heap-sort
1, 7, 3, 8, 2
[1,8,3,7,2] ; [8,1,3,7,2] ; [8,7,3,1,2] ; [2,7,3,1,8] ; [7,2,3,1,8] ; [1,2,3,7,8] ; [3,2,1,7,8] ; [1,2,3,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
3, 6, 1, 9, 7
[3,6,1,9,7] ; [1,3,6,9,7] ; [1,3,6,9,7] ; [1,3,6,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
1, 8, 2, 5, 3
[1,2,8,5,3] ; [1,2,5,8,3] ; [1,2,5,3,8] ; [1,2,3,5,8]
list_summation
list_summation:right-to-left
2, 3, 0, 4
0+4=4 ; 3+4=7 ; 2+7=9
multidigit_addition
multidigit_addition:rounding-decomposition
797+245
round:800+245=1045 ; adjust:1045-3=1042 ; sum=1042
multidigit_addition
multidigit_addition:left-to-right-partials
319+748
p100:300+700=1000 ; p10:10+40=50 ; p1:9+8=17 ; sum=1000+50+17=1067
multidigit_addition
multidigit_addition:left-to-right-partials
319+248
p100:300+200=500 ; p10:10+40=50 ; p1:9+8=17 ; sum=500+50+17=567
base_conversion
base_conversion:repeated-division
n=136,base=8
DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210
list_summation
list_summation:left-to-right
8, 2, 7, 6
8+2=10 ; 10+7=17 ; 17+6=23
multidigit_addition
multidigit_addition:left-to-right-partials
760+671
p100:700+600=1300 ; p10:60+70=130 ; p1:0+1=1 ; sum=1300+130+1=1431
base_conversion
base_conversion:via-binary
n=136,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:210
base_conversion
base_conversion:via-binary
n=60,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:330
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(5,5)
D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
base_conversion
base_conversion:repeated-division
n=57,base=16
DIV:57/16=3,r:9 ; DIV:3/16=0,r:3 ; OUT:39
base_conversion
base_conversion:via-binary
n=20,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:4 ; OUT:24
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(2,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4)
list_summation
list_summation:left-to-right
3, 7, 0, 8
3+7=10 ; 10+0=10 ; 10+8=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+30=70
5x+30=70 ; x+6=14 ; x=14-6 ; x=8
multidigit_addition
multidigit_addition:right-to-left-carry
659+390
d2:9+0+0=9→w9,c0 ; d1:5+9+0=14→w4,c1 ; d0:6+3+1=10→w0,c1 ; sum=1049
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:merge-sort
0, 6, 7, 9, 4
[0,4,6,7,9]
sorting_algorithms
sorting_algorithms:selection-sort
2, 5, 0, 1, 8
[0,5,2,1,8] ; [0,1,2,5,8] ; [0,1,2,5,8] ; [0,1,2,5,8]
base_conversion
base_conversion:via-binary
n=162,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:242
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-8=-8
8x-8=-8 ; x+-1=-1 ; x=-1--1 ; x=0
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,4)
D:(4,2) ; R:(4,3) ; R:(4,4)
base_conversion
base_conversion:decomposition
n=43,base=16
TERM:2*16^1=32 ; TERM:11*16^0=11 ; OUT:2B
multidigit_addition
multidigit_addition:rounding-decomposition
228+128
round:230+128=358 ; adjust:358-2=356 ; sum=356
list_summation
list_summation:pairwise
5, 1, 2, 6
5+1=6 ; 2+6=8 ; 6+8=14
multidigit_addition
multidigit_addition:right-to-left-carry
912+690
d2:2+0+0=2→w2,c0 ; d1:1+9+0=10→w0,c1 ; d0:9+6+1=16→w6,c1 ; sum=1602
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+18=-36
6x+18=-36 ; x+3=-6 ; x=-6-3 ; x=-9
multidigit_addition
multidigit_addition:rounding-decomposition
789+740
round:790+740=1530 ; adjust:1530-1=1529 ; sum=1529
base_conversion
base_conversion:repeated-division
n=233,base=16
DIV:233/16=14,r:9 ; DIV:14/16=0,r:14 ; OUT:E9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(4,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(5,3)
R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(5,5)
D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
596+585
d2:6+5+0=11→w1,c1 ; d1:9+8+1=18→w8,c1 ; d0:5+5+1=11→w1,c1 ; sum=1181
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(5,4)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(2,5)
R:(1,4) ; D:(2,4) ; R:(2,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
linear_equation_solving
linear_equation_solving:inverse-ops
3x-9=-33
3x-9=-33 ; x=(-33--9)/3 ; x=-24/3 ; x=-8
multidigit_addition
multidigit_addition:left-to-right-partials
285+111
p100:200+100=300 ; p10:80+10=90 ; p1:5+1=6 ; sum=300+90+6=396
base_conversion
base_conversion:via-binary
n=26,base=2
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11010
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(3,1)
R:(2,1) ; D:(3,1)
multidigit_addition
multidigit_addition:left-to-right-partials
948+977
p100:900+900=1800 ; p10:40+70=110 ; p1:8+7=15 ; sum=1800+110+15=1925
multidigit_addition
multidigit_addition:left-to-right-partials
325+838
p100:300+800=1100 ; p10:20+30=50 ; p1:5+8=13 ; sum=1100+50+13=1163
list_summation
list_summation:right-to-left
3, 6, 9, 7
9+7=16 ; 6+16=22 ; 3+22=25
sorting_algorithms
sorting_algorithms:selection-sort
3, 6, 8, 1, 4
[1,6,8,3,4] ; [1,3,8,6,4] ; [1,3,4,6,8] ; [1,3,4,6,8]
list_summation
list_summation:right-to-left
2, 0, 5, 2
5+2=7 ; 0+7=7 ; 2+7=9
base_conversion
base_conversion:decomposition
n=87,base=8
TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:127
base_conversion
base_conversion:repeated-division
n=108,base=4
DIV:108/4=27,r:0 ; DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1230
base_conversion
base_conversion:via-binary
n=175,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:15 ; OUT:AF
list_summation
list_summation:right-to-left
0, 2, 4, 9
4+9=13 ; 2+13=15 ; 0+15=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-16=-18
2x-16=-18 ; x+-8=-9 ; x=-9--8 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
737+378
d2:7+8+0=15→w5,c1 ; d1:3+7+1=11→w1,c1 ; d0:7+3+1=11→w1,c1 ; sum=1115
base_conversion
base_conversion:repeated-division
n=70,base=4
DIV:70/4=17,r:2 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1012
multidigit_addition
multidigit_addition:left-to-right-partials
115+193
p100:100+100=200 ; p10:10+90=100 ; p1:5+3=8 ; sum=200+100+8=308
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+40=64
8x+40=64 ; x+5=8 ; x=8-5 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
602+565
round:610+565=1175 ; adjust:1175-8=1167 ; sum=1167
list_summation
list_summation:left-to-right
4, 5, 9, 4
4+5=9 ; 9+9=18 ; 18+4=22
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-8=-32
8x-8=-32 ; x+-1=-4 ; x=-4--1 ; x=-3
list_summation
list_summation:pairwise
2, 4, 4, 2
2+4=6 ; 4+2=6 ; 6+6=12
multidigit_addition
multidigit_addition:rounding-decomposition
109+899
round:110+899=1009 ; adjust:1009-1=1008 ; sum=1008
multidigit_addition
multidigit_addition:rounding-decomposition
804+412
round:810+412=1222 ; adjust:1222-6=1216 ; sum=1216
list_summation
list_summation:right-to-left
4, 9, 7, 0
7+0=7 ; 9+7=16 ; 4+16=20
list_summation
list_summation:pairwise
6, 3, 0, 5
6+3=9 ; 0+5=5 ; 9+5=14
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-15=-12
3x-15=-12 ; 3x=3 ; x=1
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-27=-54
3x-27=-54 ; x+-9=-18 ; x=-18--9 ; x=-9
sorting_algorithms
sorting_algorithms:heap-sort
7, 8, 3, 4, 5
[8,7,3,4,5] ; [5,7,3,4,8] ; [7,5,3,4,8] ; [4,5,3,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8]
list_summation
list_summation:left-to-right
5, 4, 6, 0
5+4=9 ; 9+6=15 ; 15+0=15
multidigit_addition
multidigit_addition:left-to-right-partials
722+653
p100:700+600=1300 ; p10:20+50=70 ; p1:2+3=5 ; sum=1300+70+5=1375
list_summation
list_summation:pairwise
3, 1, 2, 8
3+1=4 ; 2+8=10 ; 4+10=14
multidigit_addition
multidigit_addition:right-to-left-carry
691+985
d2:1+5+0=6→w6,c0 ; d1:9+8+0=17→w7,c1 ; d0:6+9+1=16→w6,c1 ; sum=1676
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+30=66
6x+30=66 ; 6x=36 ; x=6
multidigit_addition
multidigit_addition:left-to-right-partials
326+118
p100:300+100=400 ; p10:20+10=30 ; p1:6+8=14 ; sum=400+30+14=444