Length after Concatenation

Version: Phuoc Hung OJ Extended

Problem Statement

Given strings $a$ and $b$, append $b$ directly to $a$ without inserting any character. Determine the lengths of the first string, the second string, and their concatenation.

Existing spaces count as characters. The input line break separating $a$ and $b$ is not part of the concatenated string.

Input

The first line contains $a$ and the second contains $b$. Either line may be empty.

Output

Print three space-separated integers: the length of $a$, the length of $b$, and the length of their concatenation.

Subtasks

• Subtask 1 (100 points): $0\le |a|,|b|\le100$ Unicode characters.

Examples

Example 1

Input

ab
cde

Output

2 3 5

Explanation. ab has length $2$ and cde length $3$; concatenation has length $5$.

Example 2

Input

X

Output

0 1 1

Explanation. The empty first string has length $0$, X has length $1$, and the total is $1$.

Example 3

Input

Đ
A B

Output

1 3 4

Explanation. Đ is one Unicode character and A B is three; total length $1+3=4$.