Given a number in the form of a string, we need to find where to make it divisible by eight after deleting zero or more elements. In other words, we need to find whether there is a subsequence of the string, which is divisible by 8. Return the modified string or -1 if it is not possible.
根据可整除规则,任何最后三位数字可被8整除的数也可被8整除。例如,56992992和476360可被8整除,但2587788不能。如果结果是一个整数,则原始数可被8整除。
Let us look at some input scenarios that explain the method in detail −
如果传递给该方法的输入是包含任何可被8整除的子字符串的数字字符串,则在结果列表中我们可以获得可被8整除的子字符串−
Input: 2567992 Result: 56
如果输入给方法的是一个不包含任何可被8整除的子字符串的数字字符串,输出结果将返回为−
Input: 77777777777 Result: -1
字符串输入被遍历,检查是否有任何子字符串是8的倍数。
If there is any consequent substring present in the input, the substring is returned as the output.
如果找到子字符串,则程序终止,否则重复步骤2直到找到子字符串。
如果输入中没有可被8整除的子字符串,则返回输出为-1。
在下面的C++程序中,我们取两个字符串,一个可以转换为可被8整除的字符串,另一个不能,然后找出每种情况下的输出。我们可以从0到1000迭代,以8的倍数如0、8、16、24、32...1000,并检查这个数字是否作为给定字符串的子序列存在。
#include <iostream> using namespace std; int checkIfSubstringExist(string req, string given) { int index = 0; for (char ch : given) { if (req[index] == ch) { index++; } } return index == (int)req.size(); } string solve(string s) { for (int i = 0; i < 1e3; i += 8) { string num = to_string(i); if (checkIfSubstringExist(num, s)) { return num; } } return "-1"; } int main() { // the string “95256” can be converted to a string divisible by 8 // the string “74516” cannot be converted to a string divisible by 8 // let’s run our code to find the output in each case string s1 = "95258", s2="74516"; cout << solve(s1) << "\n" << solve(s2) << endl; return 0; }
8 16
As you can see in the above output, 9525 is removed from 95258, and 745 is removed from 74516 to make the left number divisible by 8.
正如我们所看到的,在简单观察之后,我们只需要检查子集是否存在。我们检查字符串是否包含子序列,最坏情况下,它将检查整个字符串。因此,如果我们给定一个长度为n的数字字符串,最坏时间复杂度为O(126*n),即O(n)。
以上是C++程序,用于删除数字字符串中的字符,使其能被8整除的详细内容。更多信息请关注PHP中文网其他相关文章!