TASK

Problem

#40

Given three positive side lengths `a`, `b`, and `c`, print `YES` if a non-degenerate triangle can be formed; otherwise print `NO`.

EXAMPLE

Example

Input

3 4 5

Output

YES

LIMITS

Constraints

All integer magnitudes are at most 10^9; divisors are non-zero where used.

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LEARN Theory for this problem

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`if`, comparison operators, and logical operators let a program choose output according to a condition.

Connection to “Triangle Exists”: here, intermediate values are best kept in named variables so the formula stays readable and data types remain clear.

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NEED HELP? Hints

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['Write the condition directly and print exactly the required value.', 'After solving “Triangle Exists”, verify the algorithm on your own small example and on an allowed boundary case. Print only the required result with no extra text.']

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ANSWER Solution

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#include <iostream>
#include <algorithm>
#include <cstdlib>
using namespace std;
int main() {
    long long a, b, c;
    cin >> a >> b >> c;
    cout << (a + b > c && a + c > b && b + c > a ? "YES" : "NO") << '\n';
    return 0;
}