Problem:
Score : 200 points

Problem Statement

Takahashi has many red balls and blue balls. Now, he will place them in a row.

Initially, there is no ball placed.

Takahashi, who is very patient, will do the following operation 10^{100} times:

Place A blue balls at the end of the row of balls already placed. Then, place B red balls at the end of the row.

How many blue balls will be there among the first N balls in the row of balls made this way?

Constraints

1 \leq N \leq 10^{18}

A, B \geq 0

0 < A + B \leq 10^{18}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print the number of blue balls that will be there among the first N balls in the row of balls.

Sample Input 1

8 3 4

Sample Output 1

4

Let b denote a blue ball, and r denote a red ball. The first eight balls in the row will be bbbrrrrb, among which there are four blue balls.

Sample Input 2

8 0 4

Sample Output 2

0

He placed only red balls from the beginning.

Sample Input 3

6 2 4

Sample Output 3

2

Among bbrrrr, there are two blue balls.

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

N, a, b = map(int, input().split())

all = a + b

# a = 0
if a == 0:
    print(0)
    exit(0)

if N <= a:
    print(N)
    exit(0)

# a > 0
c = round(N / all)
d = N % all

roundCnt = a * c

if d <= a :
    amariCnt = d
else:
    amariCnt = a

print(roundCnt + amariCnt)


#a = 0 print 0
#a > 0
# N <= a print N
# N > a
#  N/(a+b)=c     が割り切れる  a * c
#  N/(a+b)=c...d が余りが出る  a * c
#    d <= a のとき a * c + d
#    d >  a のとき a * c + a
#