Check Non-Decreasing Scores

Background

Congcong is currently organizing some competition score records. He wants to know if these scores consistently show an improving trend, meaning each competition's score is greater than or equal to the previous one.

Problem Description

Given an array of scores, return true if each score is equal to or greater than the one before. The array will be length 2 or more.

Input Format

The input is given from standard input in the following format.

The first line contains several space-separated integers, representing all scores in the array.

Output Format

The output should be printed to standard output in the following format.

Output true if the array of scores is non-decreasing; otherwise, output false.

Sample

1 3 4

true

1 3 2

false

1 1 4

true

Sample Explanation

Sample 1: The array is [1, 3, 4]. $1 \le 3$ and $3 \le 4$. All scores satisfy the non-decreasing condition, so true is output.

Sample 2: The array is [1, 3, 2]. Although $1 \le 3$, $3 \not\le 2$. The non-decreasing condition is not met, so false is output.

Sample 3: The array is [1, 1, 4]. $1 \le 1$ and $1 \le 4$. All scores satisfy the non-decreasing condition, so true is output.

Constraints

For each test case:

• Time limit: 1 second
• Memory limit: 1024 KiB
• The length of the score array $N$ satisfies $2 \le N \le 100$.
• Each score $S_i$ in the array satisfies $0 \le S_i \le 1000$.