CPP

z function

vector<int> z_function_trivial(string s) {
    int n = (int) s.length();
    vector<int> z(n);
    for (int i = 1; i < n; ++i)
        while (i + z[i] < n && s[z[i]] == s[i + z[i]])
            ++z[i];
    return z;
}

z function

vector<int> z_function(string s) {
    int n = (int) s.length();
    vector<int> z(n);
    for (int i = 1, l = 0, r = 0; i < n; ++i) {
        if (i <= r)
            z[i] = min (r - i + 1, z[i - l]);
        while (i + z[i] < n && s[z[i]] == s[i + z[i]])
            ++z[i];
        if (i + z[i] - 1 > r)
            l = i, r = i + z[i] - 1;
    }
    return z;
}

z function

vector<int> z_function(string s) {
    int n = (int) s.length();
    vector<int> z(n);
    for (int i = 1; i < n; ++i)
        while (i + z[i] < n && s[z[i]] == s[i + z[i]])
            ++z[i];
    return z;
}

Z-function

vector<int> z_function (string s) {
	int n = (int) s.length();
	vector<int> z (n);
	for (int i=1, l=0, r=0; i<n; ++i) {
		if (i <= r)
			z[i] = min (r-i+1, z[i-l]);
		while (i+z[i] < n && s[z[i]] == s[i+z[i]])
			++z[i];
		if (i+z[i]-1 > r)
			l = i,  r = i+z[i]-1;
	}
	return z;
}