本文概述
考虑一个仅由数字4和7组成的数字系列。该系列中的前几个数字是4、7、44、47、74、44744等。给定一个数字n, 我们需要在其中找到第n个数字。该序列。
例子:
Input : n = 2
Output : 7
Input : n = 3
Output : 44
Input : n = 5
Output : 74
Input : n = 6
Output : 77
这个想法是基于这样的事实, 即最后一位的值是交替排列的。例如, 如果第i个数字的最后一位为4, 则第(i-1)个和第(i + 1)个数字的最后一位必须为7。
我们创建一个大小为(n + 1)的数组, 然后将其推入4和7(这两个始终是序列的前两个元素)。有关更多元素, 请检查
1)如果是奇数, arr [i] = arr [i / 2] * 10 + 4;
2)如果是偶数, arr [i] = arr [(i / 2)-1] * 10 + 7;
最后返回arr [n]。
C ++
// C++ program to find n-th number in a series
// made of digits 4 and 7
#include <bits/stdc++.h>
using namespace std;
// Return n-th number in series made of 4 and 7
int printNthElement( int n)
{
// create an array of size (n+1)
int arr[n+1];
arr[1] = 4;
arr[2] = 7;
for ( int i=3; i<=n; i++)
{
// If i is odd
if (i%2 != 0)
arr[i] = arr[i/2]*10 + 4;
else
arr[i] = arr[(i/2)-1]*10 + 7;
}
return arr[n];
}
// Driver code
int main()
{
int n = 6;
cout << printNthElement(n);
return 0;
}
Java
// Java program to find n-th number in a series
// made of digits 4 and 7
class FindNth
{
// Return n-th number in series made of 4 and 7
static int printNthElement( int n)
{
// create an array of size (n+1)
int arr[] = new int [n+ 1 ];
arr[ 1 ] = 4 ;
arr[ 2 ] = 7 ;
for ( int i= 3 ; i<=n; i++)
{
// If i is odd
if (i% 2 != 0 )
arr[i] = arr[i/ 2 ]* 10 + 4 ;
else
arr[i] = arr[(i/ 2 )- 1 ]* 10 + 7 ;
}
return arr[n];
}
// main function
public static void main (String[] args)
{
int n = 6 ;
System.out.println(printNthElement(n));
}
}
Python3
# Python3 program to find n-th number
# in a series made of digits 4 and 7
# Return n-th number in series made
# of 4 and 7
def printNthElement(n) :
# create an array of size (n + 1)
arr = [ 0 ] * (n + 1 );
arr[ 1 ] = 4
arr[ 2 ] = 7
for i in range ( 3 , n + 1 ) :
# If i is odd
if (i % 2 ! = 0 ) :
arr[i] = arr[i / / 2 ] * 10 + 4
else :
arr[i] = arr[(i / / 2 ) - 1 ] * 10 + 7
return arr[n]
# Driver code
n = 6
print (printNthElement(n))
# This code is contributed by Nikita Tiwari.
C#
// C# program to find n-th number in a series
// made of digits 4 and 7
using System;
class GFG
{
// Return n-th number in series made of 4 and 7
static int printNthElement( int n)
{
// create an array of size (n+1)
int []arr = new int [n+1];
arr[1] = 4;
arr[2] = 7;
for ( int i = 3; i <= n; i++)
{
// If i is odd
if (i % 2 != 0)
arr[i] = arr[i / 2] * 10 + 4;
else
arr[i] = arr[(i / 2) - 1] * 10 + 7;
}
return arr[n];
}
// Driver code
public static void Main ()
{
int n = 6;
Console.Write(printNthElement(n));
}
}
// This code is contributed by vt_m.
的PHP
<?php
// PHP program to find n-th
// number in a series
// made of digits 4 and 7
// Return n-th number in
// series made of 4 and 7
function printNthElement( $n )
{
// create an array
// of size (n+1)
$arr [1] = 4;
$arr [2] = 7;
for ( $i = 3; $i <= $n ; $i ++)
{
// If i is odd
if ( $i % 2 != 0)
$arr [ $i ] = $arr [ $i / 2] *
10 + 4;
else
$arr [ $i ] = $arr [( $i / 2) - 1] *
10 + 7;
}
return $arr [ $n ];
}
// Driver code
$n = 6;
echo (printNthElement( $n ));
// This code is contributed by Ajit.
?>
输出如下:
77
在只允许使用2位数字(4和7)的序列中查找第n个元素|S2(log(n)方法)
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