可被 2 整除的二进制串中最大的子串
给定长度为 N 的二进制字符串 str ,任务是找到可被 2 整除的最长子字符串。如果不存在这样的子字符串,则打印 -1 。
示例:
输入: str = "11100011" 输出: 111000 可被 2 整除的最大子串为“111000”。 输入: str = "1111" 输出: -1 给定字符串 没有可被 2 整除的子字符串。
天真的方法:天真的方法是生成所有这样的子字符串,并检查它们是否能被 2 整除。这种方法的时间复杂度为 0(N3)。
更好的方法:一个简单的方法是从字符串末尾删除字符,而最后一个字符是 1 。当遇到 0 时,当前字符串将被 2 整除,因为它在 0 结束。这种方法的时间复杂度将是 O(N)。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
// Function to return the largest
// substring divisible by 2
string largestSubStr(string s)
{
// While the last character of
// the string is '1', pop it
while (s.size() and s[s.size() - 1] == '1')
s.pop_back();
// If the original string had no '0'
if (s.size() == 0)
return "-1";
else
return s;
}
// Driver code
int main()
{
string s = "11001";
cout << largestSubStr(s);
return 0;
}
Java 语言(一种计算机语言,尤用于创建网站)
// Java implementation of the approach
class GFG
{
// Function to return the largest
// substring divisible by 2
static String largestSubStr(String s)
{
// While the last character of
// the string is '1', pop it
while (s.length() != 0 &&
s.charAt(s.length() - 1) == '1')
s = s.substring(0, s.length() - 1);
// If the original string had no '0'
if (s.length() == 0)
return "-1";
else
return s;
}
// Driver code
public static void main (String[] args)
{
String s = "11001";
System.out.println(largestSubStr(s));
}
}
// This code is contributed by AnkitRai01
Python 3
# Python3 implementation of the approach
# Function to return the largest
# substring divisible by 2
def largestSubStr(s) :
# While the last character of
# the string is '1', pop it
while (len(s) and s[len(s) - 1] == '1') :
s = s[:len(s) - 1];
# If the original string had no '0'
if (len(s) == 0) :
return "-1";
else :
return s;
# Driver code
if __name__ == "__main__" :
s = "11001";
print(largestSubStr(s));
# This code is contributed by AnkitRai01
C
// C# implementation of the approach
using System;
class GFG
{
// Function to return the largest
// substring divisible by 2
static string largestSubStr(string s)
{
// While the last character of
// the string is '1', pop it
while (s.Length != 0 &&
s[s.Length - 1] == '1')
s = s.Substring(0, s.Length - 1);
// If the original string had no '0'
if (s.Length == 0)
return "-1";
else
return s;
}
// Driver code
public static void Main ()
{
string s = "11001";
Console.WriteLine(largestSubStr(s));
}
}
// This code is contributed by AnkitRai01
java 描述语言
<script>
// Javascript implementation of the approach
// Function to return the largest
// substring divisible by 2
function largestSubStr(s)
{
// While the last character of
// the string is '1', pop it
while (s.length && s[s.length - 1] == '1')
s = s.substring(0,s.length-1);;
// If the original string had no '0'
if (s.length == 0)
return "-1";
else
return s;
}
// Driver code
var s = "11001";
document.write( largestSubStr(s));
</script>
Output:
1100
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