检查阵列是否美观
给定一个整数 n 和一个大小为 n 的数组,检查它是否满足以下条件:-
- 数组的所有元素必须位于 1 到 n 之间。
- 数组不得按升序排序。
- 该数组由唯一元素组成。
如果所有条件都满足,则打印 Yes else No。
例子:
Input: 4
1 2 3 4
Output: No
Array is sorted in ascending order
Input: 4
4 3 2 1
Output: Yes
Satisfies all given condition
Input: 4
1 1 2 3
Output: No
Array has repeated entries
一个简单的解决方案是计算所有元素的频率。在计算频率时检查所有元素是否从 1 到 n。最后检查每个元素的频率是否为1,数组是否按升序排序。
一个有效的解决方案是避免额外的空间。
CPP
// CPP program to check array is
// beautiful or not
#include
using namespace std;
// Function to implement the given task
bool isBeautiful(int a[], int n) {
int sum = a[0];
bool isAscSorted = true;
for (int i = 1; i < n; i++) {
// Checking for any repeated entry
if (a[i] == a[i - 1])
return 0;
// Checking for ascending sorting
if (a[i] < a[i - 1])
isAscSorted = false;
sum += a[i];
}
// Does not satisfy second condition
if (isAscSorted == true)
return false;
// Sum of 1 to n elements is
// (n*(n + 1)/2))
return (sum == (n * (n + 1) / 2));
}
// Driver Code
int main() {
int a[] = {1, 2, 4, 3};
int n = sizeof(a) / sizeof(a[0]);
if (isBeautiful(a, n))
cout << "Yes";
else
cout << "No";
return 0;
}
Java
// Java program to check array is
// beautiful or not
import java.io.*;
class GFG {
// Function to implement the given task
static boolean isBeautiful(int a[], int n) {
int sum = a[0];
boolean isAscSorted = true;
for (int i = 1; i < n; i++) {
// Checking for any repeated entry
if (a[i] == a[i - 1])
return false;
// Checking for ascending sorting
if (a[i] < a[i - 1])
isAscSorted = false;
sum += a[i];
}
// Does not satisfy second condition
if (isAscSorted == true)
return false;
// Sum of 1 to n elements is
// (n*(n + 1)/2))
return (sum == (n * (n + 1) / 2));
}
// Driver Code
public static void main (String[] args) {
int a[] = {1, 2, 4, 3};
int n = a.length;
if (isBeautiful(a, n))
System.out.println ( "Yes");
else
System.out.println("No");
}
}
// This code is contributed by vt_m
Python3
# Python program to check array is
# beautiful or not
# Function to implement the given task
def isBeautiful(a,n):
sum = a[0]
isAscSorted = True
for i in range(1,n):
# Checking for any repeated entry
if (a[i] == a[i - 1]):
return False
# Checking for ascending sorting
if (a[i] < a[i - 1]):
isAscSorted = False
sum=sum+ a[i]
# Does not satisfy second condition
if (isAscSorted == True):
return False
#Sum of 1 to n elements is
# (n*(n + 1)/2))
return (sum == (n * (n + 1) // 2))
# Driver code
a= [1, 2, 4, 3]
n = len(a)
if (isBeautiful(a, n)):
print("Yes")
else:
print("No")
# This code is contributed
# by Anant Agarwal.
C#
// C# program to check array is
// beautiful or not
using System;
class GFG {
// Function to implement the given task
static bool isBeautiful(int []a, int n) {
int sum = a[0];
bool isAscSorted = true;
for (int i = 1; i < n; i++) {
// Checking for any repeated entry
if (a[i] == a[i - 1])
return false;
// Checking for ascending sorting
if (a[i] < a[i - 1])
isAscSorted = false;
sum += a[i];
}
// Does not satisfy second condition
if (isAscSorted == true)
return false;
// Sum of 1 to n elements is
// (n*(n + 1)/2))
return (sum == (n * (n + 1) / 2));
}
// Driver Code
public static void Main ()
{
int []a = {1, 2, 4, 3};
int n = a.Length;
if (isBeautiful(a, n))
Console.WriteLine( "Yes");
else
Console.WriteLine("No");
}
}
// This code is contributed by vt_m
PHP
Javascript
输出:
Yes