C - String Typing

本文介绍了一种算法,用于计算给定字符串的最小打字操作数。通过比较字符串的前半部分与后半部分,算法可以确定是否可以通过复制和粘贴操作减少打字次数。示例代码展示了如何实现这一算法。

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题目:
You are given a string s consisting of n lowercase Latin letters. You have to type this string using your keyboard.
Initially, you have an empty string. Until you type the whole string, you may perform the following operation:
add a character to the end of the string.
Besides, at most once you may perform one additional operation: copy the string and append it to itself.
For example, if you have to type string abcabca, you can type it in 7 operations if you type all the characters one by one. However, you can type it in 5 operations if you type the string abc first and then copy it and type the last character.
If you have to type string aaaaaaaaa, the best option is to type 4 characters one by one, then copy the string, and then type the remaining character.
Print the minimum number of operations you need to type the given string.
Input
The first line of the input containing only one integer number n (1 ≤ n ≤ 100) — the length of the string you have to type. The second line containing the string s consisting of n lowercase Latin letters.
Output
Print one integer number — the minimum number of operations you need to type the given string.

Examples
input
Copy
7
abcabca
output
5
input
Copy
8
abcdefgh
output
8
Note
The first test described in the problem statement.

In the second test you can only type all the characters one by one.

代码如下:

#include<iostream>
#include<cstring>
using namespace std;

int main()
{
    string str;
    int n,sum,len;
    cin >> n >> str;
    sum = n;
    len = str.length();
    for(int i = 1;i <= len / 2;i++)
    {
        if(str.substr(0,i) == str.substr(i,i)) sum = n - i + 1;
    }
    cout << sum << endl;
    return 0;
}

先把步数赋值为字符串的长度,随后从第二个字母开始往后截取,查看是否从开始位置到i位置与i位置到2i位置的字符串是相同的,如果相同则将步数赋值为n - i + 1,否则就是步数就是字符串的长度。

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