Consider the dining philosophers problem with n philosophers but with n+1 forks; the extra one fork is in the middle of the table and can be used by any philosopher (only by one at a time). Is deadlock possible? Explain your answer? code example

Example 1: dining philosophers problem in os

process P[i]
 while true do
   {  THINK;
      PICKUP(CHOPSTICK[i], CHOPSTICK[i+1 mod 5]);
      EAT;
      PUTDOWN(CHOPSTICK[i], CHOPSTICK[i+1 mod 5])
   }

Example 2: dining philosophers problem deadlock

while(TRUE) 
{
    wait(stick[i]);
    /* 
        mod is used because if i=5, next 
        chopstick is 1 (dining table is circular)
    */
    wait(stick[(i+1) % 5]);  
                    
    /* eat */
    signal(stick[i]);
    
    signal(stick[(i+1) % 5]); 
    /* think */
}