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 Python3 (judge verdict: Accepted)

#import pysnooper
#import os,re,sys,operator,math,heapq,string
#from collections import Counter,deque
#from operator import itemgetter
#from itertools import accumulate,combinations,groupby,combinations_with_replacement
from sys import stdin,setrecursionlimit
#from copy import deepcopy
setrecursionlimit(10**6)

#@pysnooper.snoop()
n=int(stdin.readline().rstrip())
a=[int(stdin.readline().rstrip()) for _ in range(n)]
ans=0
mi=a[0]
ma=-(10**10)
for i in range(1,n):
    ma=max(ma,a[i]-mi)
    mi=min(mi,a[i])
print(ma)