CF127A.Wasted Time

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通过率:0%

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题目描述

Mr. Scrooge, a very busy man, decided to count the time he wastes on all sorts of useless stuff to evaluate the lost profit. He has already counted the time he wastes sleeping and eating. And now Mr. Scrooge wants to count the time he has wasted signing papers.

Mr. Scrooge's signature can be represented as a polyline A1A2... AnA_{1}A_{2}...\ A_{n} . Scrooge signs like that: first it places a pen at the point A1A_{1} , then draws a segment from point A1A_{1} to point A2A_{2} , then he draws a segment from point A2A_{2} to point A3A_{3} and so on to point AnA_{n} , where he stops signing and takes the pen off the paper. At that the resulting line can intersect with itself and partially repeat itself but Scrooge pays no attention to it and never changes his signing style. As Scrooge makes the signature, he never takes the pen off the paper and his writing speed is constant — 5050 millimeters per second.

Scrooge signed exactly kk papers throughout his life and all those signatures look the same.

Find the total time Scrooge wasted signing the papers.

输入格式

The first line contains two integers nn and kk ( 2<=n<=1002<=n<=100 , 1<=k<=10001<=k<=1000 ). Each of the following nn lines contains the coordinates of the polyline's endpoints. The ii -th one contains coordinates of the point AiA_{i} — integers xix_{i} and yiy_{i} , separated by a space.

All points AiA_{i} are different. The absolute value of all coordinates does not exceed 2020 . The coordinates are measured in millimeters.

输出格式

Print one real number — the total time Scrooges wastes on signing the papers in seconds. The absolute or relative error should not exceed 10610^{-6} .

输入输出样例

  • 输入#1

    2 1
    0 0
    10 0
    

    输出#1

    0.200000000
  • 输入#2

    5 10
    3 1
    -5 6
    -2 -1
    3 2
    10 0
    

    输出#2

    6.032163204
  • 输入#3

    6 10
    5 0
    4 0
    6 0
    3 0
    7 0
    2 0
    

    输出#3

    3.000000000
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