CF51D.Geometrical problem
普及/提高-
通过率:0%
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题目描述
Polycarp loves geometric progressions — he collects them. However, as such progressions occur very rarely, he also loves the sequences of numbers where it is enough to delete a single element to get a geometric progression.
In this task we shall define geometric progressions as finite sequences of numbers a1,a2,...,ak , where ai=c⋅bi−1 for some real numbers c and b . For example, the sequences [2, -4, 8], [0, 0, 0, 0], [199] are geometric progressions and [0, 1, 2, 3] is not.
Recently Polycarp has found a sequence and he can't classify it. Help him to do it. Determine whether it is a geometric progression. If it is not, check if it can become a geometric progression if an element is deleted from it.
输入格式
The first line contains an integer n ( 1<=n<=105 ) — the number of elements in the given sequence. The second line contains the given sequence. The numbers are space-separated. All the elements of the given sequence are integers and their absolute value does not exceed 104 .
输出格式
Print 0, if the given sequence is a geometric progression. Otherwise, check if it is possible to make the sequence a geometric progression by deleting a single element. If it is possible, print 1. If it is impossible, print 2.
输入输出样例
输入#1
4 3 6 12 24
输出#1
0
输入#2
4 -8 -16 24 -32
输出#2
1
输入#3
4 0 1 2 3
输出#3
2