Discount and VAT Invoice

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given quantity $q$, unit price $p$, discount $d$ percent and VAT $v$ percent, compute subtotal $S=qp$, discount $D=Sd/100$, VAT $V=(S-D)v/100$, total $T=S-D+V$. Format four monetary results to two decimals only at output.

Input

One line has four whitespace-separated fields $q,p,d,v$.

Output

Four lines containing $S,D,V,T$, each with exactly two decimal digits and no labels.

Subtask

• Subtask 1 — 100 points: $q$ integer 0–100; $p$ an integer multiple of 100 within 0–10000 (may be written as 100.00); $d$ integer 0–100; $v$ integer 0–25.

Example

Input

2 100.00 10 5

Output

200.00
20.00
9.00
189.00

Explanation

Subtotal 200, discount 20, remaining 180, VAT 9, grand total 189.