Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
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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:pairwise
9, 7, 0, 9
9+7=16 ; 0+9=9 ; 16+9=25
multidigit_addition
multidigit_addition:rounding-decomposition
651+342
round:660+342=1002 ; adjust:1002-9=993 ; sum=993
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+54=18
9x+54=18 ; 9x=-36 ; x=-4
sorting_algorithms
sorting_algorithms:bubble-sort
4, 9, 6, 3, 5
[4,6,9,3,5] ; [4,6,3,9,5] ; [4,6,3,5,9] ; [4,3,6,5,9] ; [4,3,5,6,9] ; [3,4,5,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
8x+0=32
8x+0=32 ; x=(32-0)/8 ; x=32/8 ; x=4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(3,5)
R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
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)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
2, 3, 6, 4
2+3=5 ; 6+4=10 ; 5+10=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
0, 1, 4, 0
0+1=1 ; 1+4=5 ; 5+0=5
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+35=80
5x+35=80 ; x+7=16 ; x=16-7 ; x=9
base_conversion
base_conversion:repeated-division
n=152,base=16
DIV:152/16=9,r:8 ; DIV:9/16=0,r:9 ; OUT:98
multidigit_addition
multidigit_addition:left-to-right-partials
508+531
p100:500+500=1000 ; p10:0+30=30 ; p1:8+1=9 ; sum=1000+30+9=1039
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
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
6x-18=18
6x-18=18 ; x+-3=3 ; x=3--3 ; x=6
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+3=30
3x+3=30 ; 3x=27 ; x=9
list_summation
list_summation:left-to-right
8, 3, 7, 1
8+3=11 ; 11+7=18 ; 18+1=19
multidigit_addition
multidigit_addition:rounding-decomposition
570+425
round:570+425=995 ; adjust:995-0=995 ; sum=995
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)
sorting_algorithms
sorting_algorithms:bubble-sort
7, 3, 5, 2, 9
[3,7,5,2,9] ; [3,5,7,2,9] ; [3,5,2,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9]
linear_equation_solving
linear_equation_solving:inverse-ops
8x+24=40
8x+24=40 ; x=(40-24)/8 ; x=16/8 ; x=2
base_conversion
base_conversion:repeated-division
n=251,base=16
DIV:251/16=15,r:11 ; DIV:15/16=0,r:15 ; OUT:FB
base_conversion
base_conversion:decomposition
n=119,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:167
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 9, 3, 2
[1,8,9,3,2] ; [1,8,3,9,2] ; [1,8,3,2,9] ; [1,3,8,2,9] ; [1,3,2,8,9] ; [1,2,3,8,9]
list_summation
list_summation:pairwise
5, 3, 6, 8
5+3=8 ; 6+8=14 ; 8+14=22
linear_equation_solving
linear_equation_solving:inverse-ops
2x-8=8
2x-8=8 ; x=(8--8)/2 ; x=16/2 ; x=8
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+35=60
5x+35=60 ; 5x=25 ; x=5
sorting_algorithms
sorting_algorithms:merge-sort
5, 7, 2, 3, 8
[2,3,5,7,8]
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:bubble-sort
7, 2, 8, 0, 6
[2,7,8,0,6] ; [2,7,0,8,6] ; [2,7,0,6,8] ; [2,0,7,6,8] ; [2,0,6,7,8] ; [0,2,6,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
4x-24=-48
4x-24=-48 ; x=(-48--24)/4 ; x=-24/4 ; x=-6
list_summation
list_summation:pairwise
7, 9, 1, 3
7+9=16 ; 1+3=4 ; 16+4=20
sorting_algorithms
sorting_algorithms:bubble-sort
2, 8, 0, 5, 7
[2,0,8,5,7] ; [2,0,5,8,7] ; [2,0,5,7,8] ; [0,2,5,7,8]
list_summation
list_summation:right-to-left
6, 1, 5, 7
5+7=12 ; 1+12=13 ; 6+13=19
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)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-27=-24
3x-27=-24 ; 3x=3 ; x=1
sorting_algorithms
sorting_algorithms:merge-sort
7, 1, 3, 0, 8
[1,7,3,0,8] ; [1,7,0,3,8] ; [0,1,3,7,8]
sorting_algorithms
sorting_algorithms:insertion-sort
5, 0, 3, 6, 8
[0,5,3,6,8] ; [0,3,5,6,8] ; [0,3,5,6,8] ; [0,3,5,6,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
sorting_algorithms
sorting_algorithms:heap-sort
2, 6, 5, 8, 7
[2,8,5,6,7] ; [8,2,5,6,7] ; [8,7,5,6,2] ; [2,7,5,6,8] ; [7,2,5,6,8] ; [7,6,5,2,8] ; [2,6,5,7,8] ; [6,2,5,7,8] ; [5,2,6,7,8] ; [2,5,6,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
874+670
d2:4+0+0=4→w4,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+6+1=15→w5,c1 ; sum=1544
base_conversion
base_conversion:decomposition
n=109,base=8
TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:155
list_summation
list_summation:pairwise
6, 5, 2, 8
6+5=11 ; 2+8=10 ; 11+10=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
346+954
round:350+954=1304 ; adjust:1304-4=1300 ; sum=1300
multidigit_addition
multidigit_addition:rounding-decomposition
262+792
round:270+792=1062 ; adjust:1062-8=1054 ; sum=1054
base_conversion
base_conversion:via-binary
n=161,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10100001
sorting_algorithms
sorting_algorithms:selection-sort
7, 1, 4, 3, 5
[1,7,4,3,5] ; [1,3,4,7,5] ; [1,3,4,7,5] ; [1,3,4,5,7]
multidigit_addition
multidigit_addition:left-to-right-partials
468+569
p100:400+500=900 ; p10:60+60=120 ; p1:8+9=17 ; sum=900+120+17=1037
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-81=-9
9x-81=-9 ; 9x=72 ; x=8
multidigit_addition
multidigit_addition:rounding-decomposition
889+193
round:890+193=1083 ; adjust:1083-1=1082 ; sum=1082
list_summation
list_summation:left-to-right
0, 2, 5, 4
0+2=2 ; 2+5=7 ; 7+4=11
list_summation
list_summation:right-to-left
2, 4, 0, 7
0+7=7 ; 4+7=11 ; 2+11=13
multidigit_addition
multidigit_addition:left-to-right-partials
203+480
p100:200+400=600 ; p10:0+80=80 ; p1:3+0=3 ; sum=600+80+3=683
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-72=-144
8x-72=-144 ; 8x=-72 ; x=-9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
base_conversion
base_conversion:decomposition
n=147,base=16
TERM:9*16^1=144 ; TERM:3*16^0=3 ; OUT:93
sorting_algorithms
sorting_algorithms:merge-sort
0, 8, 7, 1, 2
[0,8,1,7,2] ; [0,1,7,8,2] ; [0,1,2,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
694+532
round:700+532=1232 ; adjust:1232-6=1226 ; sum=1226
sorting_algorithms
sorting_algorithms:selection-sort
5, 3, 1, 4, 6
[1,3,5,4,6] ; [1,3,5,4,6] ; [1,3,4,5,6] ; [1,3,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=26
2x+18=26 ; x+9=13 ; x=13-9 ; x=4
multidigit_addition
multidigit_addition:rounding-decomposition
820+190
round:820+190=1010 ; adjust:1010-0=1010 ; sum=1010
list_summation
list_summation:right-to-left
1, 6, 3, 3
3+3=6 ; 6+6=12 ; 1+12=13
multidigit_addition
multidigit_addition:right-to-left-carry
877+608
d2:7+8+0=15→w5,c1 ; d1:7+0+1=8→w8,c0 ; d0:8+6+0=14→w4,c1 ; sum=1485
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+42=72
6x+42=72 ; x+7=12 ; x=12-7 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
334+823
p100:300+800=1100 ; p10:30+20=50 ; p1:4+3=7 ; sum=1100+50+7=1157
list_summation
list_summation:pairwise
7, 7, 1, 5
7+7=14 ; 1+5=6 ; 14+6=20
multidigit_addition
multidigit_addition:left-to-right-partials
356+262
p100:300+200=500 ; p10:50+60=110 ; p1:6+2=8 ; sum=500+110+8=618
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+28=56
4x+28=56 ; x+7=14 ; x=14-7 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(4,2)
D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2)
base_conversion
base_conversion:repeated-division
n=170,base=8
DIV:170/8=21,r:2 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:252
base_conversion
base_conversion:via-binary
n=169,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:7:1 ; OUT:10101001
list_summation
list_summation:right-to-left
5, 4, 9, 7
9+7=16 ; 4+16=20 ; 5+20=25
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
base_conversion
base_conversion:via-binary
n=152,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:230
multidigit_addition
multidigit_addition:right-to-left-carry
377+631
d2:7+1+0=8→w8,c0 ; d1:7+3+0=10→w0,c1 ; d0:3+6+1=10→w0,c1 ; sum=1008
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(5,3)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
3x+24=12
3x+24=12 ; x=(12-24)/3 ; x=-12/3 ; x=-4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(1,3)
R:(0,3) ; D:(1,3)
list_summation
list_summation:left-to-right
1, 3, 6, 6
1+3=4 ; 4+6=10 ; 10+6=16
list_summation
list_summation:left-to-right
0, 1, 2, 1
0+1=1 ; 1+2=3 ; 3+1=4
sorting_algorithms
sorting_algorithms:heap-sort
0, 1, 4, 3, 7
[0,7,4,3,1] ; [7,0,4,3,1] ; [7,3,4,0,1] ; [1,3,4,0,7] ; [4,3,1,0,7] ; [0,3,1,4,7] ; [3,0,1,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=254,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11111110
base_conversion
base_conversion:via-binary
n=238,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11101110
base_conversion
base_conversion:repeated-division
n=152,base=4
DIV:152/4=38,r:0 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2120
list_summation
list_summation:left-to-right
7, 6, 1, 0
7+6=13 ; 13+1=14 ; 14+0=14
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(3,4)
D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:right-to-left-carry
610+714
d2:0+4+0=4→w4,c0 ; d1:1+1+0=2→w2,c0 ; d0:6+7+0=13→w3,c1 ; sum=1324
multidigit_addition
multidigit_addition:rounding-decomposition
503+263
round:510+263=773 ; adjust:773-7=766 ; sum=766
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-24=-72
6x-24=-72 ; 6x=-48 ; x=-8
sorting_algorithms
sorting_algorithms:bubble-sort
8, 6, 0, 1, 7
[6,8,0,1,7] ; [6,0,8,1,7] ; [6,0,1,8,7] ; [6,0,1,7,8] ; [0,6,1,7,8] ; [0,1,6,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
255+760
round:260+760=1020 ; adjust:1020-5=1015 ; sum=1015
multidigit_addition
multidigit_addition:right-to-left-carry
270+327
d2:0+7+0=7→w7,c0 ; d1:7+2+0=9→w9,c0 ; d0:2+3+0=5→w5,c0 ; sum=597
sorting_algorithms
sorting_algorithms:bubble-sort
4, 2, 1, 7, 0
[2,4,1,7,0] ; [2,1,4,7,0] ; [2,1,4,0,7] ; [1,2,4,0,7] ; [1,2,0,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7]
multidigit_addition
multidigit_addition:left-to-right-partials
467+229
p100:400+200=600 ; p10:60+20=80 ; p1:7+9=16 ; sum=600+80+16=696
multidigit_addition
multidigit_addition:rounding-decomposition
533+325
round:540+325=865 ; adjust:865-7=858 ; sum=858