考虑仅由数字2、3、5、7(质数)组成的一系列数字。该系列中的前几个数字是2、3、5、7、22、23、25、27、32、33、35、37、52、53、55、57等。给定一个由2、3构成的数字,5、7位数字,我们需要找到该数字在本系列中的位置。
例子:
Input : 22
Output : 5
22 is 5th number in series 2, 3, 5, 7, 22, ...
Input : 777
Output : 84
它与以下文章相反:
仅查找由质数(2、3、5和7)组成的第n个数字
""
/ | | \
1(2) 2(3) 3(5) 4(7)
/ | | \ / | | \ / | | \ / | | \
5(22) 6(23) 7(25) 8(27) 9(32)10(33)11(35)12(37) 13(52) 14(53) 15(55) 16(57) 17(72) 18(73) 19(75) 20(77)
/||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\ /||\
如果数字为2,则它位于位置pos * 2 + 1
如果数字为3,则它位于位置pos * 2 + 2
如果数字为5,则它位于位置pos * 2 + 3
如果数字为7,则它位于位置pos * 2 + 4
pos是一个大于或等于0的整数。
C++
#include
#include
using namespace std;
int findpos(string n)
{
int pos = 0;
for (int i = 0; n[i] != '\0'; i++) {
switch (n[i]) {
// If number is 2 then it is
// on the position pos*2+1
case '2':
pos = pos * 4 + 1;
break;
// If number is 3 then it is
// on the position pos*2+2
case '3':
pos = pos * 4 + 2;
break;
// If number is 5 then it is
// on the position pos*2+3
case '5':
pos = pos * 4 + 3;
break;
// If number is 7 then it is
// on the position pos*2+4
case '7':
pos = pos * 4 + 4;
break;
}
}
return pos;
}
// Driver code
int main()
{
string n = "777";
cout << findpos(n);
}
Java
// Java Program position of n among
// the numbers made of 2, 3, 5 & 7
class GFG
{
static int findpos(String n)
{
int pos = 0;
for (int i = 0; i < n.length(); i++)
{
switch (n.charAt(i))
{
// If number is 2 then it is
// on the position pos*2+1
case '2':
pos = pos * 4 + 1;
break;
// If number is 3 then it is
// on the position pos*2+2
case '3':
pos = pos * 4 + 2;
break;
// If number is 5 then it is
// on the position pos*2+3
case '5':
pos = pos * 4 + 3;
break;
// If number is 7 then it is
// on the position pos*2+4
case '7':
pos = pos * 4 + 4;
break;
}
}
return pos;
}
// Driver code
public static void main(String args[])
{
String n = "777";
System.out.println( findpos(n));
}
}
// This code is contributed
// by Arnab Kundu
Python 3
def findpos(n):
pos = 0
for i in n:
# If number is 2 then it is
# on the position pos*2+1
if i == '2':
pos = pos * 4 + 1
# If number is 3 then it is
# on the position pos*2+2
elif i == '3':
pos = pos * 4 + 2
# If number is 5 then it is
# on the position pos*2+3
elif i == '5':
pos = pos * 4 + 3
# If number is 7 then it is
# on the position pos*2+4
elif i == '7':
pos = pos * 4 + 4
return pos
# Driver code
n = "777"
print (findpos(n))
# This code is contributed by vishal.
C#
// C# Program position of n among
// the numbers made of 2, 3, 5 & 7
using System;
class GFG
{
static int findpos(String n)
{
int pos = 0;
for (int i = 0; i < n.Length; i++)
{
switch (n[i])
{
// If number is 2 then it is
// on the position pos*2+1
case '2':
pos = pos * 4 + 1;
break;
// If number is 3 then it is
// on the position pos*2+2
case '3':
pos = pos * 4 + 2;
break;
// If number is 5 then it is
// on the position pos*2+3
case '5':
pos = pos * 4 + 3;
break;
// If number is 7 then it is
// on the position pos*2+4
case '7':
pos = pos * 4 + 4;
break;
}
}
return pos;
}
// Driver code
public static void Main(String[] args)
{
String n = "777";
Console.WriteLine( findpos(n));
}
}
// This code contributed by Rajput-Ji
PHP
Javascript
输出:
84