SalesRouting | Topcoder Archive

Problem Statement

You want to send a group of salespeople from location 0 to location 1, but no two of them can travel through the same location (other than 0 and 1). This removes the possibility of trying to sell a customer the same product twice. Character j of element i (both 0-based) of adj denotes whether locations i and j are connected by a symmetric link ('1' for connected, '0' otherwise). Return the greatest number of salespeople that can be sent. The constraints will guarantee that locations 0 and 1 do not share a link.

Definition

Class:: SalesRouting
Method:: howMany
Parameters:: String[]
Returns:: int
Method signature:: int howMany(String[] adj)
(be sure your method is public)

Constraints

adj will contain between 3 and 12 elements, inclusive.
Each element of adj will contain exactly N characters, where N is the number of elements in adj.
Each character in adj will be '0' (zero) or '1' (one).
Character i of element j of adj will be the same as character j of element i.
Character i of element i of adj will be '0'.
Character 1 of element 0 of adj will be '0'.

Examples

```
{
"001",
"001",
"110"
}
```
```
Returns: 1
```
We can send a single salesperson from location 0 to location 2, and finally to location 1.
```
{
"0010",
"0010",
"1100",
"0000"
}
```
```
Returns: 1
```
Same as before, but now there is an isolated location 3.
```
{
"001100",
"000001",
"100010",
"100010",
"001101",
"010010"
}
```
```
Returns: 1
```
The only location that is directly connected to location 1 is 5, so only 1 salesperson can be sent.

{
"001111",
"001111",
"110000",
"110000",
"110000",
"110000"
}

Returns: 4

{
"00000",
"00000",
"00000",
"00000",
"00000"
}

Returns: 0

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