http://poj.org/problem?id=1152 //* @author: ccQ.SuperSupper import java.io.*; import java.util.*; public class Main { static int get_base(char c){ if(c>='0'&&c<='9') return c-'0'+0; if(c>='A' && c<='Z') return c-'A'+ 10; if(c>='a' && c<='z') return c-'a' + 36; return -1; } public static void main(String[]args) throws Exception{ int ans,i; String str; Scanner cin = new Scanner(System.in); //Scanner cin = new Scanner(new FileInputStream("input.txt")); while(cin.hasNext()){ str = cin.next(); for(ans=2;ans<=62;++ans){ if(can(str,ans)) break; } if(ans>62) System.out.println("such number is impossible!"); else System.out.println(ans); } } static boolean can(String str,int cnt){ int i,sum=0; for(i=0;i< str.length();++i){ if(get_base(str.charAt(i))>=cnt) return false; sum*=cnt; sum+=get_base(str.charAt(i)); sum%=(cnt-1); } if(sum==0) return true; return false; } static int Max(int a,int b){ return a>b?a:b; } }
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