413. Arithmetic Slices**

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A sequence of number 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 sequence:

1, 3, 5, 7, 97, 7, 7, 73, -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 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.

Reference

public int numberOfArithmeticSlices(int[] A) {    int curr = 0, sum = 0;    for (int i=2; i<A.length; i++)        if (A[i]-A[i-1] == A[i-1]-A[i-2]) {            curr += 1;            sum += curr;        } else {            curr = 0;        }    return sum;}


总结:这道题理解的偏难了,注意题目中要求是连续的数字为等差序列,而不是可以隔开的那种,如:3,4,6,7,9,10,12



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