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 Go (judge verdict: Time Limit Exceeded)

package main

import (
	"fmt"
)

func main() {
	var n int
	fmt.Scan(&n)

	R := make([]int, n)
	for i := 0; i < n; i++ {
		fmt.Scan(&R[i])
	}

	r_min := R[0]
	d_max := R[1] - R[0]
	for i := 1; i < n; i++ {
		if R[i]-r_min > d_max {
			d_max = R[i] - r_min
		}

		if R[i] < r_min {
			r_min = R[i]
		}
	}

	fmt.Println(d_max)
}