HackerEarth - Min-Max Solution

Given A Series Of N Positive Integers a1,a2,a3........an. , Find The Minimum And Maximum Values That Can Be Calculated By Summing Exactly N-1 Of The N Integers. Then Print The Respective Minimum And Maximum Values As A Single Line Of Two Space-Separated Long Integers.

Input Format

The first line Take Input Value Of N

The second line Take Input N Space Separated Integer Value

Output Format

Two Space Separated Value ( One Maximum Sum And One Minimum Sum )

Constraints

• 0 < N < 100001
• 0 <= ai < 1013

SAMPLE INPUT

5
1 2 3 4 5

SAMPLE OUTPUT

10 14

Explanation

Our initial numbers are 1,2,3,4 and 5. We can calculate the following sums using four of the five integers:

1. If we sum everything except 1, our sum is 2+3+4+5=14.
2. If we sum everything except 2, our sum is 1+3+4+5=13.
3. If we sum everything except 3, our sum is 1+2+4+5=12.
4. If we sum everything except 4, our sum is 1+3+4+5=11.
5. If we sum everything except 5, our sum is 1+2+3+4=10.

As you can see, the minimal sum is 1+2+3+4=10 and the maximal sum is 2+3+4+5=14. Thus, we print these minimal and maximal sums as two space-separated integers on a new line.

Solution in Python

n = int(input())
a = list(map(int,input().split()))
max_num = max(a)
min_num = min(a)
sum_tot = sum(a)

print(sum_tot-max_num, sum_tot-min_num)

Answer explanation

Max sum is given by total sum - smallest number

Min sum is given by total sum - maximum number