Problem:
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Maximum Profit

You can obtain profits from foreign exchange margin transactions. For example, if you buy 1000 dollar at a rate of 100 yen per dollar, and sell them at a rate of 108 yen per dollar, you can obtain (108 - 100) × 1000 = 8000 yen.

Write a program which reads values of a currency $R_t$ at a certain time $t$ ($t = 0, 1, 2, ... n-1$), and reports the maximum value of $R_j - R_i$ where $j > i$ .

Input

The first line contains an integer $n$. In the following $n$ lines, $R_t$ ($t = 0, 1, 2, ... n-1$) are given in order.

Output

Print the maximum value in a line.

Constraints

$2 \leq n \leq 200,000$

$1 \leq R_t \leq 10^9$

Sample Input 1

6
5
3
1
3
4
3

Sample Output 1

3

Sample Input 2

3
4
3
2

Sample Output 2

-1

Solution in C (judge verdict: Wrong Answer)

#include<stdio.h>
#define N 200000
int main()
{
  int x[N];
  int i;
  int max = -1000000000;
  int sa;
  int min;

  for(i = 0 ; i < N ; i++){
    scanf("%d", &x[i]);
  }

  min = x[0];

  for(i = 2 ; i < x[0] ; i++){
    sa = x[i] - min;
    if(max < sa){
      max = sa;
    }
    if(min > sa){
      min = x[i];
    }
  }

  printf("%d\n", max);
  return 0;
}