Candy Sharing Game

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5890 Accepted Submission(s): 3580

Problem Description

A number of students sit in a circle facing their teacher in the center. Each student initially has an even number of pieces of candy. When the teacher blows a whistle, each student simultaneously gives half of his or her candy to the neighbor on the right. Any student, who ends up with an odd number of pieces of candy, is given another piece by the teacher. The game ends when all students have the same number of pieces of candy.

Write a program which determines the number of times the teacher blows the whistle and the final number of pieces of candy for each student from the amount of candy each child starts with.

Input

The input may describe more than one game. For each game, the input begins with the number N of students, followed by N (even) candy counts for the children counter-clockwise around the circle. The input ends with a student count of 0. Each input number is on a line by itself.

Output

For each game, output the number of rounds of the game followed by the amount of candy each child ends up with, both on one line.

Sample Input

Jetbrains全家桶1年46，售后保障稳定

Sample Output

  
  
  
   
   
   15 14
17 22
4 8


   
   
    
    Hint 
   
   
   
   
     The game ends in a finite number of steps because: 1. The maximum candy count can never increase. 2. The minimum candy count can never decrease. 3. No one with more than the minimum amount will ever decrease to the minimum. 4. If the maximum and minimum candy count are not the same, at least one student with the minimum amount must have their count increase. 
   
   
   
   
     比较坑的地方是一个人必须先给下一个才能拿上一个人的，之前一直理解错误 
   
   
   
   
     代码： 
   
   
   
    
    
      #include<algorithm> #include<iostream> #include<cstring> #include<cmath> using namespace std; int cake[10010]; int n; int pan() {  int t = cake[0];  for(int i = 1;i < n;i++)   {    if(t != cake[i])    {     return 1;    }   }   return 0; } int main() {    while(cin >> n&&n)  {   for(int i = 0;i < n;i++) cin >> cake[i];   int ans = 0;   while(pan())   {    ans++;    int tem = cake[n-1]/2;    for(int i = n-1;i > 0;i--)    {     cake[i] = cake[i]/2+cake[i-1]/2;     if(cake[i] % 2) cake[i]++;    }    cake[0] = cake[0]/2 + tem;    if(cake[0] % 2) cake[0]++;   }   cout << ans << " " << cake[0] << endl;  }  return 0; 
     
     
     
    
      } 
     
   
   
   
    比比较