CF113C.Double Happiness

普及/提高-

通过率:0%

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题目描述

On the math lesson a teacher asked each pupil to come up with his own lucky numbers. As a fan of number theory Peter chose prime numbers. Bob was more original. He said that number tt is his lucky number, if it can be represented as:

t=a2+b2,t=a^{2}+b^{2}, where a,ba,b are arbitrary positive integers.Now, the boys decided to find out how many days of the interval [l,r][l,r] ( l<=rl<=r ) are suitable for pair programming. They decided that the day ii ( l<=i<=rl<=i<=r ) is suitable for pair programming if and only if the number ii is lucky for Peter and lucky for Bob at the same time. Help the boys to find the number of such days.

输入格式

The first line of the input contains integer numbers l,rl,r ( 1<=l,r<=31081<=l,r<=3·10^{8} ).

输出格式

In the only line print the number of days on the segment [l,r][l,r] , which are lucky for Peter and Bob at the same time.

输入输出样例

  • 输入#1

    3 5
    

    输出#1

    1
    
  • 输入#2

    6 66
    

    输出#2

    7
    
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