413. Arithmetic Slices -------M

A sequence of numbers is called arithmetic if it consists of at least three elements and if the difference between any two consecutive elements is the same.

For example, these are arithmetic sequences:

1, 3, 5, 7, 9
7, 7, 7, 7
3, -1, -5, -9

The following sequence is not arithmetic.

1, 1, 2, 5, 7

 

A zero-indexed array A consisting of N numbers is given. A slice of that array is any pair of integers (P, Q) such that 0 <= P < Q < N.

A slice (P, Q) of the array A is called arithmetic if the sequence:
A[P], A[P + 1], ..., A[Q - 1], A[Q] is arithmetic. In particular, this means that P + 1 < Q.

The function should return the number of arithmetic slices in the array A.

 

Example:

A = [1, 2, 3, 4]
 

return: 3, for 3 arithmetic slices in A: [1, 2, 3], [2, 3, 4] and [1, 2, 3, 4] itself. 

A:

思路很直接，8分钟写完，直接pass .  就是找相邻2个的差，然后 数有多少个相邻的重复的。

再做 C(k,2)  即可。

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class Solution { public: int numberOfArithmeticSlices(vector<int>& A) { vector<long> Diff; for(int i =1;i<A.size();i++){ Diff.push_back(long(A[i]) - A[i-1]); } int res = 0; int start = 0; int nDiff = Diff.size(); while(start< nDiff){ int end = start; while(end<nDiff && Diff[end]==Diff[start]){ end++; } int count = end - start; res += count*(count-1)/2; start = end; } return res; } };