- Prepare
- Mathematics
- Fundamentals
- Connecting Towns

# Connecting Towns

# Connecting Towns

Cities on a map are connected by a number of roads. The number of roads between each city is in an array and city is the starting location. The number of roads from city to city is the first value in the array, from city to city is the second, and so on.

How many paths are there from city to the last city in the list, modulo ?

**Example**

There are roads to city , roads to city and roads to city . The total number of roads is .

**Note**

Pass all the towns T_{i} for i=1 to n-1 in numerical order to reach T_{n}.

**Function Description**

Complete the *connectingTowns* function in the editor below.

*connectingTowns* has the following parameters:

*int n:*the number of towns*int routes[n-1]:*the number of routes between towns

**Returns**

*int:*the total number of routes, modulo 1234567.

**Input Format**

The first line contains an integer T, T test-cases follow.

Each test-case has 2 lines.

The first line contains an integer N (the number of towns).

The second line contains N - 1 space separated integers where the i^{th} integer denotes the number of routes, N_{i}, from the town T_{i} to T_{i+1}

**Constraints**

1 <= T<=1000

2< N <=100

1 <= routes[i] <=1000

**Sample Input**

```
2
3
1 3
4
2 2 2
```

**Sample Output**

```
3
8
```

**Explanation**

Case 1: 1 route from T_{1} to T_{2}, 3 routes from T_{2} to T_{3}, hence only 3 routes.

Case 2: There are 2 routes from each city to the next, hence 2 * 2 * 2 = 8.