LeetCoce 413. Arithmetic Slices

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, 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 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.

代码一

class Solution {
public:
    int numberOfArithmeticSlices(vector<int>& A) {
        if(A.size()<=2) return 0;
        int cnt=0;
        for(int i=0;i<=A.size()-3;i++){
            int temp=A[i+1]-A[i];
            for(int j=i+2;j<A.size();j++)
                if(A[j]-A[j-1]==temp)
                    cnt++;
                else
                    break;
        }
        return cnt;
    }
};

代码二:动态规划

class Solution {
public:
    int numberOfArithmeticSlices(vector<int>& A) {
        int n = A.size();
        if (n < 3) return 0;
        vector<int> dp(n, 0); // dp[i] means the number of arithmetic slices ending with A[i]
        if (A[2]-A[1] == A[1]-A[0]) dp[2] = 1; // if the first three numbers are arithmetic or not
        int result = dp[2];
        for (int i = 3; i < n; ++i) {
            // if A[i-2], A[i-1], A[i] are arithmetic, then the number of arithmetic slices ending with A[i] (dp[i])
            // equals to:
            //      the number of arithmetic slices ending with A[i-1] (dp[i-1], all these arithmetic slices appending A[i] are also arithmetic)
            //      +
            //      A[i-2], A[i-1], A[i] (a brand new arithmetic slice)
            // it is how dp[i] = dp[i-1] + 1 comes
            if (A[i]-A[i-1] == A[i-1]-A[i-2])
                dp[i] = dp[i-1] + 1;
            result += dp[i]; // accumulate all valid slices
        }
        return result;
    }
};

原文地址:https://www.cnblogs.com/A-Little-Nut/p/10066893.html

时间: 2024-10-13 00:46:20

LeetCoce 413. Arithmetic Slices的相关文章

413. Arithmetic Slices

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi

LeetCode - 413. Arithmetic Slices - 含中文题意解释 - O(n) - ( C++ ) - 解题报告

1.题目大意 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, 9 7, 7, 7, 7 3, -1, -5, -9 The

413. Arithmetic Slices(LeetCode)

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi

(Java) LeetCode 413. Arithmetic Slices —— 等差数列划分

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi

【Leetcode】413. Arithmetic Slices

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

413. Arithmetic Slices(数组中等差递增子区间的个数)

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi

413 Arithmetic Slices 等差数列划分

如果一个数列至少有三个元素,并且任意两个相邻元素之差相同,则称该数列为等差数列.例如,以下数列为等差数列:1, 3, 5, 7, 97, 7, 7, 73, -1, -5, -9以下数列不是等差数列.1, 1, 2, 5, 7数组 A 包含 N 个数,且索引从0开始.数组 A 的一个子数组划分为数组 (P, Q),P 与 Q 是整数且满足 0<=P<Q<N .如果满足以下条件,则称子数组(P, Q)为等差数组:元素 A[P], A[p + 1], ..., A[Q - 1], A[Q]

413. 数组切片 Arithmetic Slices

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi

[LeetCode] Arithmetic Slices 算数切片

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, 9 7, 7, 7, 7 3, -1, -5, -9 The followi