Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
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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
multidigit_addition
multidigit_addition:left-to-right-partials
364+808
p100:300+800=1100 ; p10:60+0=60 ; p1:4+8=12 ; sum=1100+60+12=1172
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)
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 8, 6, 2
[0,7,8,6,2] ; [0,7,8,6,2] ; [0,6,7,8,2] ; [0,2,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-21=42
7x-21=42 ; 7x=63 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,2)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 8, 9, 1, 6
[0,8,9,1,6] ; [0,8,9,1,6] ; [0,1,8,9,6] ; [0,1,6,8,9]
list_summation
list_summation:right-to-left
2, 0, 0, 3
0+3=3 ; 0+3=3 ; 2+3=5
sorting_algorithms
sorting_algorithms:merge-sort
1, 9, 0, 2, 7
[0,1,2,9,7] ; [0,1,2,7,9]
list_summation
list_summation:pairwise
5, 3, 4, 5
5+3=8 ; 4+5=9 ; 8+9=17
base_conversion
base_conversion:via-binary
n=255,base=16
BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:15 ; OUT:FF
sorting_algorithms
sorting_algorithms:selection-sort
4, 3, 9, 2, 8
[2,3,9,4,8] ; [2,3,9,4,8] ; [2,3,4,9,8] ; [2,3,4,8,9]
base_conversion
base_conversion:decomposition
n=107,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1223
sorting_algorithms
sorting_algorithms:selection-sort
9, 3, 8, 0, 2
[0,3,8,9,2] ; [0,2,8,9,3] ; [0,2,3,9,8] ; [0,2,3,8,9]
list_summation
list_summation:right-to-left
7, 6, 7, 8
7+8=15 ; 6+15=21 ; 7+21=28
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 6, 0, 2
[1,4,6,0,2] ; [1,4,6,0,2] ; [0,1,4,6,2] ; [0,1,2,4,6]
list_summation
list_summation:left-to-right
6, 0, 2, 1
6+0=6 ; 6+2=8 ; 8+1=9
multidigit_addition
multidigit_addition:rounding-decomposition
110+421
round:110+421=531 ; adjust:531-0=531 ; sum=531
linear_equation_solving
linear_equation_solving:inverse-ops
9x+81=72
9x+81=72 ; x=(72-81)/9 ; x=-9/9 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
955+243
d2:5+3+0=8→w8,c0 ; d1:5+4+0=9→w9,c0 ; d0:9+2+0=11→w1,c1 ; sum=1198
list_summation
list_summation:right-to-left
3, 8, 8, 1
8+1=9 ; 8+9=17 ; 3+17=20
base_conversion
base_conversion:repeated-division
n=185,base=2
DIV:185/2=92,r:1 ; DIV:92/2=46,r:0 ; DIV:46/2=23,r:0 ; 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:10111001
list_summation
list_summation:right-to-left
4, 8, 1, 0
1+0=1 ; 8+1=9 ; 4+9=13
sorting_algorithms
sorting_algorithms:insertion-sort
3, 8, 0, 9, 7
[3,8,0,9,7] ; [0,3,8,9,7] ; [0,3,8,9,7] ; [0,3,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
532+577
p100:500+500=1000 ; p10:30+70=100 ; p1:2+7=9 ; sum=1000+100+9=1109
multidigit_addition
multidigit_addition:rounding-decomposition
340+216
round:340+216=556 ; adjust:556-0=556 ; sum=556
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(4,3)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3)
base_conversion
base_conversion:decomposition
n=27,base=16
TERM:1*16^1=16 ; TERM:11*16^0=11 ; OUT:1B
list_summation
list_summation:left-to-right
9, 1, 5, 5
9+1=10 ; 10+5=15 ; 15+5=20
sorting_algorithms
sorting_algorithms:merge-sort
1, 5, 3, 2, 4
[1,5,2,3,4] ; [1,2,3,5,4] ; [1,2,3,4,5]
list_summation
list_summation:right-to-left
0, 1, 7, 7
7+7=14 ; 1+14=15 ; 0+15=15
base_conversion
base_conversion:repeated-division
n=155,base=8
DIV:155/8=19,r:3 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:233
list_summation
list_summation:pairwise
2, 7, 9, 4
2+7=9 ; 9+4=13 ; 9+13=22
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+45=90
5x+45=90 ; 5x=45 ; x=9
base_conversion
base_conversion:decomposition
n=105,base=8
TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:1*8^0=1 ; OUT:151
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+9=-9
9x+9=-9 ; x+1=-1 ; x=-1-1 ; x=-2
sorting_algorithms
sorting_algorithms:bubble-sort
4, 6, 3, 8, 2
[4,3,6,8,2] ; [4,3,6,2,8] ; [3,4,6,2,8] ; [3,4,2,6,8] ; [3,2,4,6,8] ; [2,3,4,6,8]
list_summation
list_summation:pairwise
7, 3, 9, 6
7+3=10 ; 9+6=15 ; 10+15=25
multidigit_addition
multidigit_addition:right-to-left-carry
669+588
d2:9+8+0=17→w7,c1 ; d1:6+8+1=15→w5,c1 ; d0:6+5+1=12→w2,c1 ; sum=1257
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
405+878
p100:400+800=1200 ; p10:0+70=70 ; p1:5+8=13 ; sum=1200+70+13=1283
list_summation
list_summation:right-to-left
4, 8, 4, 7
4+7=11 ; 8+11=19 ; 4+19=23
sorting_algorithms
sorting_algorithms:bubble-sort
8, 3, 0, 1, 7
[3,8,0,1,7] ; [3,0,8,1,7] ; [3,0,1,8,7] ; [3,0,1,7,8] ; [0,3,1,7,8] ; [0,1,3,7,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+12=10
2x+12=10 ; x+6=5 ; x=5-6 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
197+194
round:200+194=394 ; adjust:394-3=391 ; sum=391
sorting_algorithms
sorting_algorithms:bubble-sort
5, 6, 1, 7, 8
[5,1,6,7,8] ; [1,5,6,7,8]
list_summation
list_summation:right-to-left
8, 3, 6, 5
6+5=11 ; 3+11=14 ; 8+14=22
multidigit_addition
multidigit_addition:left-to-right-partials
815+593
p100:800+500=1300 ; p10:10+90=100 ; p1:5+3=8 ; sum=1300+100+8=1408
sorting_algorithms
sorting_algorithms:heap-sort
1, 9, 7, 4, 5
[9,1,7,4,5] ; [9,5,7,4,1] ; [1,5,7,4,9] ; [7,5,1,4,9] ; [4,5,1,7,9] ; [5,4,1,7,9] ; [1,4,5,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9]
base_conversion
base_conversion:decomposition
n=16,base=8
TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:20
multidigit_addition
multidigit_addition:left-to-right-partials
479+877
p100:400+800=1200 ; p10:70+70=140 ; p1:9+7=16 ; sum=1200+140+16=1356
multidigit_addition
multidigit_addition:rounding-decomposition
384+476
round:390+476=866 ; adjust:866-6=860 ; sum=860
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(4,3)
R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:heap-sort
2, 3, 6, 8, 1
[2,8,6,3,1] ; [8,2,6,3,1] ; [8,3,6,2,1] ; [1,3,6,2,8] ; [6,3,1,2,8] ; [2,3,1,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+32=16
8x+32=16 ; x+4=2 ; x=2-4 ; x=-2
base_conversion
base_conversion:repeated-division
n=190,base=16
DIV:190/16=11,r:14 ; DIV:11/16=0,r:11 ; OUT:BE
sorting_algorithms
sorting_algorithms:insertion-sort
0, 6, 4, 1, 8
[0,6,4,1,8] ; [0,4,6,1,8] ; [0,1,4,6,8] ; [0,1,4,6,8]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-3=0
3x-3=0 ; x+-1=0 ; x=0--1 ; x=1
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-48=24
8x-48=24 ; 8x=72 ; x=9
list_summation
list_summation:pairwise
3, 9, 9, 7
3+9=12 ; 9+7=16 ; 12+16=28
multidigit_addition
multidigit_addition:left-to-right-partials
439+355
p100:400+300=700 ; p10:30+50=80 ; p1:9+5=14 ; sum=700+80+14=794
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(5,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
6x+24=78
6x+24=78 ; x=(78-24)/6 ; x=54/6 ; x=9
sorting_algorithms
sorting_algorithms:merge-sort
1, 9, 4, 0, 5
[1,9,0,4,5] ; [0,1,4,9,5] ; [0,1,4,5,9]
base_conversion
base_conversion:repeated-division
n=101,base=2
DIV:101/2=50,r:1 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100101
linear_equation_solving
linear_equation_solving:inverse-ops
9x+27=99
9x+27=99 ; x=(99-27)/9 ; x=72/9 ; x=8
sorting_algorithms
sorting_algorithms:selection-sort
0, 9, 7, 2, 5
[0,9,7,2,5] ; [0,2,7,9,5] ; [0,2,5,9,7] ; [0,2,5,7,9]
list_summation
list_summation:right-to-left
3, 7, 1, 0
1+0=1 ; 7+1=8 ; 3+8=11
sorting_algorithms
sorting_algorithms:heap-sort
5, 2, 3, 0, 7
[5,7,3,0,2] ; [7,5,3,0,2] ; [2,5,3,0,7] ; [5,2,3,0,7] ; [0,2,3,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
654+887
round:660+887=1547 ; adjust:1547-6=1541 ; sum=1541
base_conversion
base_conversion:decomposition
n=72,base=2
TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1001000
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+24=60
4x+24=60 ; 4x=36 ; x=9
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=198,base=16
DIV:198/16=12,r:6 ; DIV:12/16=0,r:12 ; OUT:C6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,5)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
sorting_algorithms
sorting_algorithms:selection-sort
9, 3, 8, 5, 0
[0,3,8,5,9] ; [0,3,8,5,9] ; [0,3,5,8,9] ; [0,3,5,8,9]
list_summation
list_summation:pairwise
7, 5, 3, 5
7+5=12 ; 3+5=8 ; 12+8=20
multidigit_addition
multidigit_addition:right-to-left-carry
930+793
d2:0+3+0=3→w3,c0 ; d1:3+9+0=12→w2,c1 ; d0:9+7+1=17→w7,c1 ; sum=1723
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+72=136
8x+72=136 ; 8x=64 ; x=8
list_summation
list_summation:right-to-left
9, 7, 8, 2
8+2=10 ; 7+10=17 ; 9+17=26
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(2,4)
D:(1,3) ; D:(2,3) ; R:(2,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+28=49
7x+28=49 ; x+4=7 ; x=7-4 ; x=3
multidigit_addition
multidigit_addition:left-to-right-partials
167+410
p100:100+400=500 ; p10:60+10=70 ; p1:7+0=7 ; sum=500+70+7=577
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+48=112
8x+48=112 ; x+6=14 ; x=14-6 ; x=8
base_conversion
base_conversion:repeated-division
n=59,base=16
DIV:59/16=3,r:11 ; DIV:3/16=0,r:3 ; OUT:3B
multidigit_addition
multidigit_addition:rounding-decomposition
467+517
round:470+517=987 ; adjust:987-3=984 ; sum=984
list_summation
list_summation:right-to-left
5, 1, 9, 8
9+8=17 ; 1+17=18 ; 5+18=23
base_conversion
base_conversion:via-binary
n=148,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:4 ; OUT:224
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+45=72
9x+45=72 ; x+5=8 ; x=8-5 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
131+264
round:140+264=404 ; adjust:404-9=395 ; sum=395
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+64=72
8x+64=72 ; x+8=9 ; x=9-8 ; x=1
multidigit_addition
multidigit_addition:right-to-left-carry
400+206
d2:0+6+0=6→w6,c0 ; d1:0+0+0=0→w0,c0 ; d0:4+2+0=6→w6,c0 ; sum=606
list_summation
list_summation:pairwise
3, 1, 7, 1
3+1=4 ; 7+1=8 ; 4+8=12
sorting_algorithms
sorting_algorithms:insertion-sort
8, 7, 1, 3, 5
[7,8,1,3,5] ; [1,7,8,3,5] ; [1,3,7,8,5] ; [1,3,5,7,8]
base_conversion
base_conversion:repeated-division
n=131,base=8
DIV:131/8=16,r:3 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:203
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
sorting_algorithms
sorting_algorithms:insertion-sort
7, 2, 4, 5, 6
[2,7,4,5,6] ; [2,4,7,5,6] ; [2,4,5,7,6] ; [2,4,5,6,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
sorting_algorithms
sorting_algorithms:heap-sort
2, 5, 0, 7, 9
[2,9,0,7,5] ; [9,2,0,7,5] ; [9,7,0,2,5] ; [5,7,0,2,9] ; [7,5,0,2,9] ; [2,5,0,7,9] ; [5,2,0,7,9] ; [0,2,5,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9]