300. longest increasing subsequence

Preface

C++ It's a high-level programming language , from C Language expansion and upgrading , As early as 1979 By Benjani · Strauss LUP is AT&T Developed by Bell studio .
C++ Both can be carried out C Process programming of language , It can also be used for object-based programming characterized by abstract data types , It can also carry out object-oriented programming characterized by inheritance and polymorphism .C++ Good at object-oriented programming at the same time , You can also do process based programming .
C++ Have the practical characteristics of computer operation , At the same time, it is also committed to improving the programming quality of large-scale programs and the problem description ability of programming languages .

Java Is an object-oriented programming language , Not only absorbed C++ The advantages of language , It's abandoned C++ The incomprehensible inheritance in 、 Concepts such as pointer , therefore Java Language has two characteristics: powerful and easy to use .Java As the representative of static object-oriented programming language , Excellent implementation of object-oriented theory , Allow programmers to do complex programming in an elegant way of thinking .
Java It's simple 、 object-oriented 、 Distributed 、 Robustness, 、 Security 、 Platform independence and portability 、 Multithreading 、 Dynamic and so on .Java Can write desktop applications 、Web Applications 、 Distributed system and embedded system applications, etc .

Python By Guido of the Dutch Society for mathematical and computer science research · Van rosum On 1990 It was designed in the early 's , As a course called ABC A substitute for language .Python Provides efficient advanced data structure , It's also a simple and effective way of object-oriented programming .Python Syntax and dynamic types , And the nature of interpretative language , Make it a programming language for scripting and rapid application development on most platforms , With the continuous update of the version and the addition of new language features , Gradually used for independent 、 Development of large projects .
Python The interpreter is easy to extend , have access to C Language or C++（ Or something else can be done through C Calling language ） Expand new functions and data types .Python It can also be used as an extensible programming language in customizable software .Python Rich library of standards , Provides source code or machine code for each major system platform .
2021 year 10 month , Compiler for language popularity index Tiobe take Python Crowned the most popular programming language ,20 Put it in... For the first time in years Java、C and JavaScript above .

describe

Give you an array of integers nums , Find the length of the longest strictly increasing subsequence .

Subsequence Is a sequence derived from an array , Delete （ Or do not delete ） Elements in an array without changing the order of the rest . for example ,[3,6,2,7] It's an array [0,3,1,6,2,2,7] The subsequence .
 

Example 1：

Input ：nums = [10,9,2,5,3,7,101,18]
Output ：4
explain ： The longest increasing subsequence is [2,3,7,101], So the length is 4 .

Example 2：

Input ：nums = [0,1,0,3,2,3]
Output ：4

Example 3：

Input ：nums = [7,7,7,7,7,7,7]
Output ：1

class Solution {
    public int lengthOfLIS(int[] nums) {
        if (nums.length == 0) {
            return 0;
        }
        int[] dp = new int[nums.length];
        dp[0] = 1;
        int maxans = 1;
        for (int i = 1; i < nums.length; i++) {
            dp[i] = 1;
            for (int j = 0; j < i; j++) {
                if (nums[i] > nums[j]) {
                    dp[i] = Math.max(dp[i], dp[j] + 1);
                }
            }
            maxans = Math.max(maxans, dp[i]);
        }
        return maxans;
    }
}