作者:待续爱情2502861755 | 来源:互联网 | 2024-10-23 14:50
通过删除单个数字检查数字是否可以变成质数原文:https://www . geeksforgeeks . org/check-i
通过删除单个数字
检查数字是否可以变成质数
原文:https://www . geeksforgeeks . org/check-if-number-be-prime-by-delete-个位数/
给定一个整数 N ,任务是检查是否可以通过从 N 中删除任意一个数字来使 N 成为素数。
示例:
输入: N = 610
输出:是
说明:
从 610 中删除 0,得到 61,是素数。
输入:N = 68
T3】输出:否
进场:思路是把 N 转换成一根弦。现在对字符串的每个数字进行迭代并从字符串中删除索引 I 处的字符,然后在删除索引 I 处的字符后将字符串转换为整数,现在检查该整数是否为质数,然后返回 true。否则,最后还假。
下面是上述方法的实现:
C++
// C++ implementation to check if a number
// becomes prime by deleting any digit
#include
using namespace std;
// Function to check if N is prime
bool isPrime(int n)
{
// Corner cases
if (n <= 1)
return false;
if (n <= 3)
return true;
// This is checked so that we can skip
// middle five numbers in below loop
if (n % 2 == 0 || n % 3 == 0)
return false;
for (int i = 5; i * i <= n; i = i + 6)
if (n % i == 0 || n % (i + 2) == 0)
return false;
return true;
}
// Function to delete character at index i
// from given string str
string deleteIth(string str, int i)
{
// Deletes character at position 4
str.erase(str.begin() + i);
return str;
}
// Function to check if a number
// becomes prime by deleting any digit
bool isPrimePossible(int N)
{
// Converting the number to string
string s = to_string(N);
// length of string
int l = s.length();
// number should not be
// of single digit
if (l < 2)
return false;
// Loop to find all numbers
// after deleting a single digit
for (int i = 0; i < l ; i++) {
// Deleting ith character
// from the string
string str = deleteIth(s, i);
// converting string to int
int num = stoi(str);
if (isPrime(num))
return true;
}
return false;
}
// Driver Code
int main()
{
int N = 610;
isPrimePossible(N) ? cout << "Yes"
: cout << "No";
return 0;
}
Java 语言(一种计算机语言,尤用于创建网站)
// Java implementation to check if a number
// becomes prime by deleting any digit
import java.util.*;
class GFG{
// Function to check if N is prime
static boolean isPrime(int n)
{
// Corner cases
if (n <= 1)
return false;
if (n <= 3)
return true;
// This is checked so that we can skip
// middle five numbers in below loop
if (n % 2 == 0 || n % 3 == 0)
return false;
for (int i = 5; i * i <= n; i = i + 6)
if (n % i == 0 || n % (i + 2) == 0)
return false;
return true;
}
// Function to delete character at index i
// from given String str
static String deleteIth(String str, int i)
{
// Deletes character at position 4
str = str.substring(0, i) +
str.substring(i + 1);
return str;
}
// Function to check if a number
// becomes prime by deleting any digit
static boolean isPrimePossible(int N)
{
// Converting the number to String
String s = String.valueOf(N);
// length of String
int l = s.length();
// number should not be
// of single digit
if (l < 2)
return false;
// Loop to find all numbers
// after deleting a single digit
for (int i = 0; i < l; i++)
{
// Deleting ith character
// from the String
String str = deleteIth(s, i);
// converting String to int
int num = Integer.valueOf(str);
if (isPrime(num))
return true;
}
return false;
}
// Driver Code
public static void main(String[] args)
{
int N = 610;
if (isPrimePossible(N))
System.out.print("Yes");
else
System.out.print("No");
}
}
// This code is contributed by Rajput-Ji
Python 3
# Python3 implementation to check if a number
# becomes prime by deleting any digit
# Function to check if N is prime
#from builtins import range
def isPrime(n):
# Corner cases
if (n <= 1):
return False;
if (n <= 3):
return True;
# This is checked so that we can skip
# middle five numbers in below loop
if (n % 2 == 0 or n % 3 == 0):
return False;
for i in range(5, int(n**1/2), 6):
if (n % i == 0 or n % (i + 2) == 0):
return False;
return True;
# Function to delete character at index i
# from given String str
def deleteIth(str, i):
# Deletes character at position 4
str = str[0:i] + str[i + 1:];
return str;
# Function to check if a number
# becomes prime by deleting any digit
def isPrimePossible(N):
# Converting the number to String
s = str(N);
# length of String
l = len(s);
# number should not be
# of single digit
if (l < 2):
return False;
# Loop to find all numbers
# after deleting a single digit
for i in range(l):
# Deleting ith character
# from the String
str1 = deleteIth(s, i);
# converting String to int
num = int(str1);
if (isPrime(num)):
return True;
return False;
# Driver Code
if __name__ == '__main__':
N = 610;
if (isPrimePossible(N)):
print("Yes");
else:
print("No");
# This code is contributed by Rajput-Ji
C
// C# implementation to check if a number
// becomes prime by deleting any digit
using System;
class GFG{
// Function to check if N is prime
static bool isPrime(int n)
{
// Corner cases
if (n <= 1)
return false;
if (n <= 3)
return true;
// This is checked so that we can skip
// middle five numbers in below loop
if (n % 2 == 0 || n % 3 == 0)
return false;
for(int i = 5; i * i <= n; i = i + 6)
if (n % i == 0 || n % (i + 2) == 0)
return false;
return true;
}
// Function to delete character at index i
// from given String str
static String deleteIth(String str, int i)
{
// Deletes character at position 4
str = str.Substring(0, i) +
str.Substring(i + 1);
return str;
}
// Function to check if a number
// becomes prime by deleting any digit
static bool isPrimePossible(int N)
{
// Converting the number to String
String s = String.Join("", N);
// length of String
int l = s.Length;
// number should not be
// of single digit
if (l < 2)
return false;
// Loop to find all numbers
// after deleting a single digit
for(int i = 0; i
{
// Deleting ith character
// from the String
String str = deleteIth(s, i);
// converting String to int
int num = Int32.Parse(str);
if (isPrime(num))
return true;
}
return false;
}
// Driver Code
public static void Main(String[] args)
{
int N = 610;
if (isPrimePossible(N))
Console.Write("Yes");
else
Console.Write("No");
}
}
// This code is contributed by Rajput-Ji
java 描述语言
<script>
// Javascript implementation to check if a number
// becomes prime by deleting any digit
// Function to check if N is prime
function isPrime(n)
{
// Corner cases
if (n <= 1)
return false;
if (n <= 3)
return true;
// This is checked so that we can skip
// middle five numbers in below loop
if (n % 2 == 0 || n % 3 == 0)
return false;
for (let i = 5; i * i <= n; i = i + 6)
if (n % i == 0 || n % (i + 2) == 0)
return false;
return true;
}
// Function to delete character at index i
// from given String str
function deleteIth(str, i)
{
// Deletes character at position 4
str = str.substr(0, i) +
str.substr(i + 1);
return str;
}
// Function to check if a number
// becomes prime by deleting any digit
function isPrimePossible(N)
{
// Converting the number to String
let s = N.toString();
// length of String
let l = s.length;
// number should not be
// of single digit
if (l < 2)
return false;
// Loop to find all numbers
// after deleting a single digit
for (let i = 0; i
{
// Deleting ith character
// from the String
let str = deleteIth(s, i);
// converting String to let
let num = parseInt(str);
if (isPrime(num))
return true;
}
return false;
}
// Driver Code
let N = 610;
if (isPrimePossible(N))
document.write("Yes");
else
document.write("No");
script>
Output
时间复杂度:O(D)
T5】辅助空间: O(1)