P12192 [NOISG 2025 Prelim] Train Or Bus

You are a tourist who wishes to explore some cities. There are $n + 1$ cities, numbered from $1$ to $n + 1$ in sequence. There are some buses and trains running between these cities. To travel between cities $i$ and $i + 1$, you have two transportation options: - Take a **train**, which takes $a[i]$ units of time. - Take a **bus**, which takes $b[i]$ units of time. Determine the minimum total time required to travel from city $1$ to city $n + 1$.

Your program must read from standard input. The first line of input contains one integer $n$. The following $n$ lines of input each contain one integer. The $i$-th of these lines contains $a[i]$. The following $n$ lines of input each contain one integer. The $i$-th of these lines contains $b[i]$.

Your program must print to standard output. Output a single integer, the shortest time taken to travel from city $1$ to city $n + 1$. The output should contain only a single integer. Do not print any additional text such as `Enter a number` or `The answer is`.

### Subtasks For all testcases, the input will satisfy the following bounds: - $1 \leq n \leq 10$ - $1 \leq a[i] \leq 10$ for all $1 \leq i \leq n$ - $1 \leq b[i] \leq 10$ for all $1 \leq i \leq n$ Your program will be tested on input instances that satisfy the following restrictions: | Subtask | Marks | Additional Constraints | | :-: | :-: | :-: | | $0$ | $0$ | Sample test cases | | $1$ | $100$ | No additional constraints | ### Sample Test Case 1 Explanation You start at city $1$. You then: - Take the train from city $1$ to city $2$ ($7$ units of time taken). - Take the train from city $2$ to city $3$ ($7$ units of time taken). - Take the bus from city $3$ to city $4$ ($1$ unit of time taken). The total time taken is $15$.