Datasets:
awni00
/
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
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
627+526
round:630+526=1156 ; adjust:1156-3=1153 ; sum=1153
grid_pathfinding
grid_pathfinding:right-first
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)
base_conversion
base_conversion:repeated-division
n=248,base=2
DIV:248/2=124,r:0 ; DIV:124/2=62,r:0 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111000
multidigit_addition
multidigit_addition:right-to-left-carry
448+465
d2:8+5+0=13→w3,c1 ; d1:4+6+1=11→w1,c1 ; d0:4+4+1=9→w9,c0 ; sum=913
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 5, 4, 8
[2,6,5,4,8] ; [2,5,6,4,8] ; [2,5,4,6,8] ; [2,4,5,6,8]
sorting_algorithms
sorting_algorithms:merge-sort
2, 9, 6, 7, 1
[2,6,7,9,1] ; [1,2,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-72=-81
9x-72=-81 ; x+-8=-9 ; x=-9--8 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
225+210
round:230+210=440 ; adjust:440-5=435 ; sum=435
multidigit_addition
multidigit_addition:rounding-decomposition
479+845
round:480+845=1325 ; adjust:1325-1=1324 ; sum=1324
base_conversion
base_conversion:repeated-division
n=178,base=4
DIV:178/4=44,r:2 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2302
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=(3,2) ; G=(4,3)
R:(3,3) ; D:(4,3)
base_conversion
base_conversion:via-binary
n=106,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:2 ; OUT:152
list_summation
list_summation:pairwise
8, 0, 7, 5
8+0=8 ; 7+5=12 ; 8+12=20
base_conversion
base_conversion:via-binary
n=13,base=8
BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15
multidigit_addition
multidigit_addition:left-to-right-partials
436+232
p100:400+200=600 ; p10:30+30=60 ; p1:6+2=8 ; sum=600+60+8=668
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-6=15
3x-6=15 ; 3x=21 ; x=7
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+10=40
5x+10=40 ; x+2=8 ; x=8-2 ; x=6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+30=18
6x+30=18 ; 6x=-12 ; x=-2
linear_equation_solving
linear_equation_solving:inverse-ops
5x+5=-15
5x+5=-15 ; x=(-15-5)/5 ; x=-20/5 ; x=-4
base_conversion
base_conversion:via-binary
n=30,base=2
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11110
multidigit_addition
multidigit_addition:right-to-left-carry
742+656
d2:2+6+0=8→w8,c0 ; d1:4+5+0=9→w9,c0 ; d0:7+6+0=13→w3,c1 ; sum=1398
sorting_algorithms
sorting_algorithms:insertion-sort
3, 8, 0, 5, 7
[3,8,0,5,7] ; [0,3,8,5,7] ; [0,3,5,8,7] ; [0,3,5,7,8]
list_summation
list_summation:left-to-right
6, 4, 6, 3
6+4=10 ; 10+6=16 ; 16+3=19
linear_equation_solving
linear_equation_solving:inverse-ops
2x-10=-20
2x-10=-20 ; x=(-20--10)/2 ; x=-10/2 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
684+923
round:690+923=1613 ; adjust:1613-6=1607 ; sum=1607
base_conversion
base_conversion:repeated-division
n=225,base=2
DIV:225/2=112,r:1 ; DIV:112/2=56,r:0 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100001
list_summation
list_summation:pairwise
1, 1, 2, 8
1+1=2 ; 2+8=10 ; 2+10=12
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:merge-sort
0, 3, 6, 5, 8
[0,3,5,6,8]
list_summation
list_summation:pairwise
9, 6, 1, 7
9+6=15 ; 1+7=8 ; 15+8=23
sorting_algorithms
sorting_algorithms:selection-sort
9, 1, 2, 6, 7
[1,9,2,6,7] ; [1,2,9,6,7] ; [1,2,6,9,7] ; [1,2,6,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(3,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
list_summation
list_summation:right-to-left
0, 9, 8, 5
8+5=13 ; 9+13=22 ; 0+22=22
sorting_algorithms
sorting_algorithms:merge-sort
5, 9, 7, 1, 0
[5,9,1,7,0] ; [1,5,7,9,0] ; [0,1,5,7,9]
list_summation
list_summation:right-to-left
9, 4, 8, 6
8+6=14 ; 4+14=18 ; 9+18=27
list_summation
list_summation:left-to-right
3, 1, 0, 9
3+1=4 ; 4+0=4 ; 4+9=13
multidigit_addition
multidigit_addition:right-to-left-carry
506+430
d2:6+0+0=6→w6,c0 ; d1:0+3+0=3→w3,c0 ; d0:5+4+0=9→w9,c0 ; sum=936
sorting_algorithms
sorting_algorithms:heap-sort
4, 1, 0, 6, 7
[4,7,0,6,1] ; [7,4,0,6,1] ; [7,6,0,4,1] ; [1,6,0,4,7] ; [6,1,0,4,7] ; [6,4,0,1,7] ; [1,4,0,6,7] ; [4,1,0,6,7] ; [0,1,4,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
280+975
d2:0+5+0=5→w5,c0 ; d1:8+7+0=15→w5,c1 ; d0:2+9+1=12→w2,c1 ; sum=1255
multidigit_addition
multidigit_addition:rounding-decomposition
823+407
round:830+407=1237 ; adjust:1237-7=1230 ; sum=1230
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
690+398
round:690+398=1088 ; adjust:1088-0=1088 ; sum=1088
sorting_algorithms
sorting_algorithms:merge-sort
7, 5, 2, 1, 9
[5,7,2,1,9] ; [5,7,1,2,9] ; [1,2,5,7,9]
multidigit_addition
multidigit_addition:left-to-right-partials
589+542
p100:500+500=1000 ; p10:80+40=120 ; p1:9+2=11 ; sum=1000+120+11=1131
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+14=6
2x+14=6 ; 2x=-8 ; x=-4
base_conversion
base_conversion:via-binary
n=210,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:322
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(4,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
list_summation
list_summation:right-to-left
7, 6, 2, 7
2+7=9 ; 6+9=15 ; 7+15=22
list_summation
list_summation:pairwise
5, 4, 1, 2
5+4=9 ; 1+2=3 ; 9+3=12
list_summation
list_summation:pairwise
2, 1, 9, 6
2+1=3 ; 9+6=15 ; 3+15=18
multidigit_addition
multidigit_addition:left-to-right-partials
921+797
p100:900+700=1600 ; p10:20+90=110 ; p1:1+7=8 ; sum=1600+110+8=1718
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(2,5)
D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5)
list_summation
list_summation:pairwise
9, 6, 1, 8
9+6=15 ; 1+8=9 ; 15+9=24
list_summation
list_summation:pairwise
3, 6, 4, 6
3+6=9 ; 4+6=10 ; 9+10=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,5)
D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:right-to-left-carry
495+533
d2:5+3+0=8→w8,c0 ; d1:9+3+0=12→w2,c1 ; d0:4+5+1=10→w0,c1 ; sum=1028
multidigit_addition
multidigit_addition:rounding-decomposition
478+778
round:480+778=1258 ; adjust:1258-2=1256 ; sum=1256
multidigit_addition
multidigit_addition:right-to-left-carry
458+952
d2:8+2+0=10→w0,c1 ; d1:5+5+1=11→w1,c1 ; d0:4+9+1=14→w4,c1 ; sum=1410
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=-56
8x-48=-56 ; x+-6=-7 ; x=-7--6 ; x=-1
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+0=0
5x+0=0 ; 5x=0 ; x=0
list_summation
list_summation:left-to-right
7, 3, 4, 7
7+3=10 ; 10+4=14 ; 14+7=21
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+56=63
7x+56=63 ; 7x=7 ; x=1
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
911+478
p100:900+400=1300 ; p10:10+70=80 ; p1:1+8=9 ; sum=1300+80+9=1389
multidigit_addition
multidigit_addition:rounding-decomposition
340+415
round:340+415=755 ; adjust:755-0=755 ; sum=755
list_summation
list_summation:pairwise
7, 4, 2, 1
7+4=11 ; 2+1=3 ; 11+3=14
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-10=-4
2x-10=-4 ; 2x=6 ; x=3
multidigit_addition
multidigit_addition:left-to-right-partials
185+911
p100:100+900=1000 ; p10:80+10=90 ; p1:5+1=6 ; sum=1000+90+6=1096
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+0=40
8x+0=40 ; x+0=5 ; x=5-0 ; x=5
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 8, 2, 9
[5,7,8,2,9] ; [5,7,8,2,9] ; [2,5,7,8,9] ; [2,5,7,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
512+639
p100:500+600=1100 ; p10:10+30=40 ; p1:2+9=11 ; sum=1100+40+11=1151
base_conversion
base_conversion:repeated-division
n=125,base=16
DIV:125/16=7,r:13 ; DIV:7/16=0,r:7 ; OUT:7D
list_summation
list_summation:left-to-right
9, 3, 3, 2
9+3=12 ; 12+3=15 ; 15+2=17
list_summation
list_summation:right-to-left
1, 3, 8, 0
8+0=8 ; 3+8=11 ; 1+11=12
base_conversion
base_conversion:repeated-division
n=99,base=2
DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; 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:1100011
multidigit_addition
multidigit_addition:right-to-left-carry
915+330
d2:5+0+0=5→w5,c0 ; d1:1+3+0=4→w4,c0 ; d0:9+3+0=12→w2,c1 ; sum=1245
list_summation
list_summation:pairwise
5, 5, 6, 2
5+5=10 ; 6+2=8 ; 10+8=18
list_summation
list_summation:right-to-left
5, 7, 4, 8
4+8=12 ; 7+12=19 ; 5+19=24
multidigit_addition
multidigit_addition:left-to-right-partials
511+109
p100:500+100=600 ; p10:10+0=10 ; p1:1+9=10 ; sum=600+10+10=620
base_conversion
base_conversion:repeated-division
n=226,base=2
DIV:226/2=113,r:0 ; DIV:113/2=56,r:1 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100010
linear_equation_solving
linear_equation_solving:inverse-ops
3x+0=-18
3x+0=-18 ; x=(-18-0)/3 ; x=-18/3 ; x=-6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; R:(2,3) ; D:(3,3)
base_conversion
base_conversion:repeated-division
n=21,base=8
DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:25
multidigit_addition
multidigit_addition:rounding-decomposition
369+651
round:370+651=1021 ; adjust:1021-1=1020 ; sum=1020
sorting_algorithms
sorting_algorithms:insertion-sort
9, 1, 7, 8, 2
[1,9,7,8,2] ; [1,7,9,8,2] ; [1,7,8,9,2] ; [1,2,7,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+14=28
7x+14=28 ; 7x=14 ; x=2
base_conversion
base_conversion:via-binary
n=118,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:1312
base_conversion
base_conversion:decomposition
n=165,base=16
TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5
multidigit_addition
multidigit_addition:right-to-left-carry
667+186
d2:7+6+0=13→w3,c1 ; d1:6+8+1=15→w5,c1 ; d0:6+1+1=8→w8,c0 ; sum=853
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 1, 0, 8
[3,1,9,0,8] ; [3,1,0,9,8] ; [3,1,0,8,9] ; [1,3,0,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9]
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 9, 5, 3
[6,5,9,2,3] ; [9,5,6,2,3] ; [3,5,6,2,9] ; [6,5,3,2,9] ; [2,5,3,6,9] ; [5,2,3,6,9] ; [3,2,5,6,9] ; [2,3,5,6,9]
list_summation
list_summation:pairwise
5, 7, 5, 0
5+7=12 ; 5+0=5 ; 12+5=17
sorting_algorithms
sorting_algorithms:selection-sort
4, 8, 1, 0, 7
[0,8,1,4,7] ; [0,1,8,4,7] ; [0,1,4,8,7] ; [0,1,4,7,8]
sorting_algorithms
sorting_algorithms:heap-sort
6, 7, 0, 3, 4
[7,6,0,3,4] ; [4,6,0,3,7] ; [6,4,0,3,7] ; [3,4,0,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(5,2)
R:(3,2) ; D:(4,2) ; D:(5,2)
base_conversion
base_conversion:decomposition
n=183,base=16
TERM:11*16^1=176 ; TERM:7*16^0=7 ; OUT:B7