For this Question: You are given a string A of length N. You have to divide this string into any number of substrings A<sub>1</sub>, A<sub>2</sub>. A<sub>K</sub> such that the concatenation of these strings A<sub>1</sub>, A<sub>2</sub>. A<sub>K</sub> equals A and for every i (1 < i <= K), A<sub>i</sub> is not equal to A<sub>i-1</sub> is satisifed. Find the maximum such integer K which satisfies these conditions.The first line of the input contains a single integer N.
The second line of the input contains a string A of length N.

Constraints:
1 <= N <= 10<sup>5</sup>Print the maximum such integer K which satisfies the above conditions.Sample Input:
xxyyxx

Sample Output:
4

Explaination:
We can divide this string into: xx, y, yx, x
, I have written this Solution Code: #include <bits/stdc++.h>
using namespace std;
#define int long long

signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin >> n;
    string s;
    cin >> s;
    const int K = 10;
    vector<vector<int>> dp(n + 1, vector<int>(K + 1, -1));
    dp[0][0] = 0;
    for(int i = 0; i < n; i++){
        for(int j = 0; j <= K; j++){
            if(dp[i][j] == -1){
                continue;
            }
            for(int k = 1; k <= K && i + k <= n; k++){
                if(j != k || s.substr(i - j, j) != s.substr(i, k)){
                    dp[i + k][k] = max(dp[i + k][k], dp[i][j] + 1);
                }
            }
        }
    }
    int ans = 0;
    for(int j = 0; j <= K; j++){
        ans = max(ans, dp[n][j]);
    }
    cout << ans;
}, In this Programming Language: C++, Now tell me if this Code is compilable or not?