Problem:
Score : 200 points

Problem Statement

For a string S consisting of the uppercase English letters P and D, let the doctoral and postdoctoral quotient of S be the total number of occurrences of D and PD in S as contiguous substrings. For example, if S = PPDDP, it contains two occurrences of D and one occurrence of PD as contiguous substrings, so the doctoral and postdoctoral quotient of S is 3.

We have a string T consisting of P, D, and ?.

Among the strings that can be obtained by replacing each ? in T with P or D, find one with the maximum possible doctoral and postdoctoral quotient.

Constraints

1 \leq |T| \leq 2 \times 10^5

T consists of P, D, and ?.

Input

Input is given from Standard Input in the following format:

T

Output

Print one string with the maximum possible doctoral and postdoctoral quotient among the strings that can be obtained by replacing each ? in T with P or D.
If there are multiple such strings, you may print any of them.

Sample Input 1

PD?D??P

Sample Output 1

PDPDPDP

This string contains three occurrences of D and three occurrences of PD as contiguous substrings, so its doctoral and postdoctoral quotient is 6, which is the maximum doctoral and postdoctoral quotient of a string obtained by replacing each ? in T with P or D.

Sample Input 2

P?P?

Sample Output 2

PDPD

Solution in C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <math.h>
 
int main(void) {
 
	char s[200001], t[200001] ;
	int i;
	
	scanf("%s", s);
 
	for(i = 0; ; i++){
		if(s[i] == '\0')
			break;
		else if(s[i] == 'P'){
			t[i] = 'P';
			continue;
		}
		else if(s[i] == 'D'){
			t[i] = 'D';
			continue;
		}
//////////////////////////////////////////////
		else if(s[i] == '?' && (s[i - 1] == 'P' || s[i + 1] == 'P' || s[i + 1] == '\0'))
			t[i] = 'D';
		else if(s[i] == '?' && s[i + 1] == 'D')
			t[i] = 'P';
		else if(s[i] == '?' && s[i + 1] == '?'){
			t[i] = 'D';
			t[i + 1] = 'D';
			i++;
		}
	}
	
	printf("%s", t);
 
	return 0;
}