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413. Arithmetic Slices

Description

An integer array 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, [1,3,5,7,9], [7,7,7,7], and [3,-1,-5,-9] are arithmetic sequences.

Given an integer array nums, return the number of arithmetic subarrays of nums.

A subarray is a contiguous subsequence of the array.

 

Example 1:

Input: nums = [1,2,3,4]
Output: 3
Explanation: We have 3 arithmetic slices in nums: [1, 2, 3], [2, 3, 4] and [1,2,3,4] itself.

Example 2:

Input: nums = [1]
Output: 0

 

Constraints:

  • 1 <= nums.length <= 5000
  • -1000 <= nums[i] <= 1000

Solutions

  • class Solution {
        public int numberOfArithmeticSlices(int[] nums) {
            int ans = 0, cnt = 0;
            int d = 3000;
            for (int i = 0; i < nums.length - 1; ++i) {
                if (nums[i + 1] - nums[i] == d) {
                    ++cnt;
                } else {
                    d = nums[i + 1] - nums[i];
                    cnt = 0;
                }
                ans += cnt;
            }
            return ans;
        }
    }
    
  • class Solution {
    public:
        int numberOfArithmeticSlices(vector<int>& nums) {
            int ans = 0, cnt = 0;
            int d = 3000;
            for (int i = 0; i < nums.size() - 1; ++i) {
                if (nums[i + 1] - nums[i] == d) {
                    ++cnt;
                } else {
                    d = nums[i + 1] - nums[i];
                    cnt = 0;
                }
                ans += cnt;
            }
            return ans;
        }
    };
    
  • class Solution:
        def numberOfArithmeticSlices(self, nums: List[int]) -> int:
            ans = cnt = 0
            d = 3000
            for a, b in pairwise(nums):
                if b - a == d:
                    cnt += 1
                else:
                    d = b - a
                    cnt = 0
                ans += cnt
            return ans
    
    
  • func numberOfArithmeticSlices(nums []int) (ans int) {
    	cnt, d := 0, 3000
    	for i, b := range nums[1:] {
    		a := nums[i]
    		if b-a == d {
    			cnt++
    		} else {
    			d = b - a
    			cnt = 0
    		}
    		ans += cnt
    	}
    	return
    }
    
  • function numberOfArithmeticSlices(nums: number[]): number {
        let ans = 0;
        let cnt = 0;
        let d = 3000;
        for (let i = 0; i < nums.length - 1; ++i) {
            const a = nums[i];
            const b = nums[i + 1];
            if (b - a == d) {
                ++cnt;
            } else {
                d = b - a;
                cnt = 0;
            }
            ans += cnt;
        }
        return ans;
    }
    
    

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