模数之和 AtCoder - 4172 数学

F - 模数之和

 AtCoder - 4172 

Problem Statement

 

You are given N positive integers a_1, a_2, ..., a_N.

For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).

Here, X\ mod\ Y denotes the remainder of the division of X by Y.

Find the maximum value of f.

Constraints

 

• All values in input are integers.
• 2 \leq N \leq 3000
• 2 \leq a_i \leq 10^5

Input

 

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

 

Print the maximum value of f.

Sample Input 1

 

3
3 4 6

Sample Output 1

 

10

f(11) = (11\ mod\ 3) + (11\ mod\ 4) + (11\ mod\ 6) = 10 is the maximum value of f.

Sample Input 2

 

5
7 46 11 20 11

Sample Output 2

 

90

Sample Input 3

 

7
994 518 941 851 647 2 581

Sample Output 3

 

4527

• f(m − 1) = (a1 − 1) + (a2 − 1) + · · · + (an − 1)

import java.util.Scanner;

public class Main{
	public static void main(String args[]){
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int ans = 0;
		for (int i = 0; i < n; i++) {
			ans += sc.nextInt();
		}
		System.out.println(ans-n);
	}
}