Two-Subject Score Card

Version: Phuoc Hung OJ Extended

Problem Statement

A score card contains a student's full name $s$ and two subject scores $a$ and $b$. The combined score $m$ is the weighted average, assigning weight $2$ to the first subject and $3$ to the second:

Display the name, first score, second score, and combined score on one line. Show exactly two digits after the decimal point for every score. Apply formatting only when printing; do not round intermediate values before computing $m$.

Input

The first line contains full name $s$, possibly including spaces and Vietnamese characters. The second contains real numbers $a$ and $b$ separated by whitespace, each with at most four fractional digits.

Output

Print one line in the format name | a | b | m, with exactly one space on each side of every |. Show exactly two digits after the decimal point for all three numeric fields.

Subtasks

• Subtask 1 (100 points): $1\le |s|\le80$ characters; $0\le a,b\le10$.

Examples

Example 1

Input

Nguyen Van An
8 9

Output

Nguyen Van An | 8.00 | 9.00 | 8.60

Explanation. For $a=8$ and $b=9$, $m=(2\cdot8+3\cdot9)/5=43/5=8.6$; show 8.60 alongside 8.00 and 9.00.

Example 2

Input

Lê Bình
10 10

Output

Lê Bình | 10.00 | 10.00 | 10.00

Explanation. For scores $10$ and $10$, $m=(20+30)/5=10$; all three numeric fields show 10.00.

Example 3

Input

A
0 5

Output

A | 0.00 | 5.00 | 3.00

Explanation. For $a=0$ and $b=5$, $m=(0+15)/5=3$; display 0.00, 5.00, and 3.00.