Question 1210228
<pre>
The correct answer is 48.  How do I know?  I wrote a program in LibertyBasic.
Here is the output. There are 47, but the empty set considered as having a sum
of 0 makes it 48.


1             30
2             3+17=20
3             3+47=50
4             8+17=25
5             8+47=55
6             17+58=75
7             47+58=105
8             1+3+36=40
9             1+8+36=45
10            1+17+47=65
11            1+36+58=95
12            3+17+30=50
13            3+30+47=80
14            8+17+30=55
15            8+30+47=85
16            17+30+58=105
17            17+36+47=100
18            30+47+58=135
19            1+3+8+58=70
20            1+3+30+36=70
21            1+8+30+36=75
22            1+17+30+47=95
23            1+30+36+58=125
24            3+8+17+47=75
25            3+8+36+58=105
26            3+17+47+58=125
27            8+17+47+58=130
28            17+30+36+47=130
29            1+3+8+17+36=65
30            1+3+8+30+58=100
31            1+3+8+36+47=95
32            1+3+17+36+58=115
33            1+3+36+47+58=145
34            1+8+17+36+58=120
35            1+8+36+47+58=150
36            3+8+17+30+47=105
37            3+8+30+36+58=135
38            3+17+30+47+58=155
39            8+17+30+47+58=160
40            1+3+8+17+30+36=95
41            1+3+8+30+36+47=125
42            1+3+17+30+36+58=145
43            1+3+30+36+47+58=175
44            1+8+17+30+36+58=150
45            1+8+30+36+47+58=180
46            1+3+8+17+36+47+58=170
47            1+3+8+17+30+36+47+58=200

Edwin</pre>