129. Inheritance time limit per test: 0.25 sec.
The old King decided to divide the Kingdom into parts among his three sons. Each part is a polygonal area. Taking into account the bad temper of the middle son the King gave him a part of Kingdom such that moving straight from any place of this part to any other place of this part he will not cross the boundary.
Input The first line contains an integer N (3<=N<=400)  the number of vertexes of the polygon boundaring the territory of King's middle son. Each ith line of the next N lines contains pair of integers xi, yi (0<=xi,yi<=30000)  a position of the ith vertex (3<=i<=400). The vertexes are given in random order. There are no any three vertexes laying on a straight line. The next line includes the only integer M (2<=M<=1000)  the number of mineral deposits in the Kingdom. Each jth line of the next M lines contains two pairs of integers aj1, bj1  point of the beginning and aj2, bj2  point of the end of the jth mineral deposit (0<=aj1,bj1,aj2,bj2<=30000, for 1<=j<=M). The numbers in each line are divided by spaces.
Output Output file should contain M lines. Each jth line should contain a real number Lj calculated with precision 0.01  the lehgth of the middle son's part of jth mineral deposit.
Sample Input 3 1 1 6 1 1 6 4 1 2 1 4 2 2 2 4 4 2 4 4 6 2 6 4
Sample Output 0 2 1 0  

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