Four 1's puzzle

[R. Gerbicz]

86=((1/.\overbar{1})!!!!-1-1)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
92=11!!!!!!!+((1/sqrt(.\overrbar{1}))!)!!
97=(((1/sqrt(.\overrbar{1}))!)!!)!!!!+1*1 (idea of 97=(6*4*2)*2+1)

[alpertron]

We will need to write in a post the complete table from 0 to 100 along with their score so we can start making better solutions.

[science_man_88]

Originally Posted by alpertron

We will need to write in a post the complete table from 0 to 100 along with their score so we can start making better solutions.

I can't find a few ( figured one of the two out) but:

0 = 11 - 11
1 = 11 / 11
2 = 1/1 + 1/1
3 = 1 * 1 + 1 + 1
4 = 1 + 1 + 1 + 1
5 = 1*1/(.1+.1)
6 = (1 + 1 + 1 * 1)!
7 = (1 + 1 + 1)! + 1
8 = 1/.1 - 1 - 1
9 = 1/.1-1*1
10 = 11/1.1
11 = 11+1-1
12 = 11+1*1
13 = 11+1+1
14 = (1/(.1 + .1))!! -1
15 = (1/(.1 + .1))!! * 1
16 = (1/(.1 + .1))!! + 1
17 = ((1 + 1 + 1)!)!!! - 1
18 = ((1 + 1 + 1)!)!!! * 1
19 = ((1 + 1 + 1)!)!!! + 1
20 = 1/.1+1/.1
21 = (1+1+.1)/.1
22 = 11+11
23 = (1+sqrt(1/.overbar{1}))-1
24 = (1+1+1+1)!
25 = (1+sqrt(1/.overbar{1}))+1
26 = 1/(.\overbar{1}*sqrt(.\overbar{1}))-1
27 = 1/(.\overbar{1}*sqrt(.\overbar{1})) *1
28 = 1/(.\overbar{1}*sqrt(.\overbar{1}))+1
29 = 1/(.1*sqrt(.\overbar{1}))-1
30 = (1+1+1)/.1
31 = 1/(.1*sqrt(.\overbar{1}))+1
32 = 11/sqrt(.\overbar{1})-1
33 = 11/sqrt(.\overbar{1})*1
34 = 11/sqrt(.\overbar{1})+1
35 = (1/.\overbar{1})!!*.\overbar{1}*sqrt(.\overbar{1})
36 = (11+1)/sqrt(.\overbar{1})
37 = 111*sqrt(.\overbar{1})
38 = (((1/sqrt(.\overrbar{1}))!)!)!-1/.1
39 = (((1/sqrt(.\overrbar{1}))!)!)!-1/.\overbar{1}
40 = (1/(.1+.1))! * sqrt(.\overbar{1})
41 = 11!!!!!!!-1/.\sqrt(overbar{1})
42 = 11!!!!!!!-1-1
43 = 11!!!!!!!*1-1
44 = (1/.\overbar{1})!!!!-1/1
45 = 1/(.1+.1)/.\overbar{1}
46 = (((1/sqrt(.\overrbar{1}))!)!)!-1-1
47 = (((1/sqrt(.\overrbar{1}))!)!)!-1*1
48 = (((1/sqrt(.\overrbar{1}))!)!)!*1*1
49 = (((1/sqrt(.\overrbar{1}))!)!)!+1*1
50 = (((1/sqrt(.\overrbar{1}))!)!)!+1+1
51 = (((1/sqrt(.\overrbar{1}))!)!)!+1/sqrt{.\overbar{1}}
52 = 11!!!!!!-1/.\sqrt(overbar{1})
53 = (1/sqrt(.\overbar{1}))!/.\overbar{1}-1
54 = (1+1)/.\overbar{1}/sqrt(.\overbar{1})
55 = 11/(.1+.1)
56 = 11!!!!!!*1+1
57 = (((1/sqrt(.\overrbar{1}))!)!)!+(1/.\overbar{1})
58 = 11!!!!!!+1/.\sqrt(overbar{1})
59 = (1/sqrt(.\overrbar{1}))!/.1-1
60 = (1+1+1)!/.1
61 = (1/sqrt(.\overrbar{1}))!/.1+1
62 = 11!!!!!!!+(1/.\overrbar{1})!!!!!!!
63 = 11!!!!!-1/.\sqrt(overbar{1})
64 = (1+1)^((1/sqrt(.\overrbar{1}))!)
65 = 11!!!!!*1-1
66 = 11 * (1/sqrt(.\overrbar{1}))!
67 = 11!!!!!*1+1
67 = 11!!!!!+1+1
69 = 11!!!!!+1/.\sqrt(overbar{1})
70=((1/(.1 + .1))!! -1)!!!!!!!!!
71 = ((1/sqrt(.\overrbar{1}))!)! * .1 - 1
72 = ((1/sqrt(.\overrbar{1}))!)! * .1 * 1
73 = ((1/sqrt(.\overrbar{1}))!)! * .1 + 1
74 = 11!!!!!!!+(1/.1)!!!!!!!
75 = 11!!!!!+1/.\overbar{1}
76 = 11!!!!*sqrt(.\overbar{1})-1
77 = 11!!!!*sqrt(.\overbar{1})*1
78 = 11!!!!*sqrt(.\overbar{1})+1
79 = ((1/sqrt(.\overrbar{1}))!)! * .\overrbar{1} -1
80 = 1/(.\overbar{1}*.\overbar{1})-1
81 = 1/(.\overbar{1}*.\overbar{1})*1
82 = 1/(.\overbar{1}*.\overbar{1})+1
83 = 11!!!!!!!!+(1/.1)!!!!! = 11*3+10*5
84 = 11!!!!!!!+(1/.1)!!!!!! = 11*4+10*4
85 = (1/.1)!!!!!!+(1/.\overrbar{1})!!!! = 10*4+9*5
86 = (1/.1)!!!!!+(1/.\overrbar{1})!!!!! = 10*5+9*4
87 = 11!!!*.1-1
88 = 11!!!*.1*1
89 = 1/.1/.\overbar{1}-1
90 = 1/.1/.\overbar{1}*1
91 = 1/.1/.\overbar{1}+1
92=11!!!!!!!+((1/sqrt(.\overrbar{1}))!)!!
93 = 11!!!!!+(1/.\overrbar{1})!!!!!! = 11*6+9*3
94 = 11!!!!!!!+(1/.1)!!!!! = 11*4+10*5
95 = 11!!!!!!+(1/.1)!!!!!! = 11*5+10*4
96 = (((1/sqrt(.\overrbar{1}))!)!)! *(1+1)
97=(((1/sqrt(.\overrbar{1}))!)!!)!!!!+1*1 (idea of 97=(6*4*2)*2+1)
98 = 11/.\overbar{1}-1
99 = 1/.1/.1-1
100 = 11/.11

is what I get. oops forgot the points

[R. Gerbicz]

Here it is the missing:

70=((1/.\overbar{1})!!*.\overbar{1}*sqrt(.\overbar{1}))!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[science_man_88]

Originally Posted by R. Gerbicz

Here it is the missing:

70=((1/.\overbar{1})!!*.\overbar{1}*sqrt(.\overbar{1}))!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

thank you for helping fill it in.

[alpertron]

100 = 11 / .11 is a better solution according to the score table.
37 = 111*sqrt(.\overbar{1}) is also a better solution.
70 = ((1/(.1 + .1))!! -1)!!!!!!!!! = 14*5

[science_man_88]

Originally Posted by alpertron

100 = 11 / .11 is a better solution according to the score table.
37 = 111*sqrt(.\overbar{1}) is also a better solution.

18 = ((1 + 1 + 1)!)!!! * 1 -> 10015 points by my math ?
18 = 1/(.\overbar{1}/(1+1)) -> 1005.5 ?

[alpertron]

Originally Posted by science_man_88

18 = ((1 + 1 + 1)!)!!! * 1 -> 10015 points by my math ?
18 = 1/(.\overbar{1}/(1+1)) -> 1005.5 ?

I think we could use factorial = 10 points because it is a standard operation, multiple factorials = 100 points*number of consecutive !, and overbar 100 points. So overbar would be better than multiple factorials but much worse than standard factorial.

[science_man_88]

Originally Posted by alpertron

I think we could use factorial = 10 points because it is a standard operation, multiple factorials = 100 points*number of consecutive !, and overbar 100 points. So overbar would be better than multiple factorials but much worse than standard factorial.

okay by that 18 right now is 315 points using 100*3 still a lot of possible moves I think.

[alpertron]

Originally Posted by science_man_88

okay by that 18 right now is 315 points using 100*3 still a lot of possible moves I think.

I get:
18 = ((1 + 1 + 1)!)!!! * 1 -> 315 points
18 = 1/.\overbar{1}*(1+1) -> 103.5 points

Maybe you can use decimal dot -> 1 point, concatenation -> 0 points, other operations in group 1 -> 2 points. In this way all results will have an integral number of points. In this case you would have 320 points vs. 107 points.

[science_man_88]

Originally Posted by alpertron

18 = 1/.\overbar{1}*(1+1) -> 103.5 points

104.5 ? 1 decimal point -> .5
4 class one operators -> 4
over-bar -> class 3 or 4 from earlier comments if class 3->100 ( not 1000 like I originally must have done) if class 4->1000