Topcoder--SRM144 div1

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
         

            Problem Statement         

       
          

            Let's say you have a binary string such as the following:         

         

            011100011         

         

            One way to encrypt this string is to add to each digit the sum of             its adjacent digits. For example, the above string would become:         

         

            123210122         

         

            In particular, if P is the original string, and Q             is the encrypted string, then Q[i] = P[i-1] + P[i] + P[i+1]             for all digit positions i. Characters off the left and             right edges of the string are treated as zeroes.         

         

            An encrypted string given to you in this format can be decoded as             follows (using 123210122 as an example):         

         
               
  1.               Assume P[0] = 0.                       
  2.               Because Q[0] = P[0] + P[1] = 0 + P[1] = 1, we know that P[1]               = 1.                       
  3.               Because Q[1] = P[0] + P[1] + P[2] = 0 + 1 + P[2] = 2,               we know that P[2] = 1.                       
  4.               Because Q[2] = P[1] + P[2] + P[3] = 1 + 1 + P[3] = 3,               we know that P[3] = 1.                       
  5.               Repeating these steps gives us P[4] = 0, P[5] = 0,               P[6] = 0, P[7] = 1, and P[8] = 1.                       
  6.               We check our work by noting that Q[8] = P[7] + P[8] = 1 + 1               = 2. Since this equation works out, we are finished, and we               have recovered one possible original string.                     
         

            Now we repeat the process, assuming the opposite about P[0]:         

         
               
  1.               Assume P[0] = 1.                       
  2.               Because Q[0] = P[0] + P[1] = 1 + P[1] = 1, we know that P[1]               = 0.                       
  3.               Because Q[1] = P[0] + P[1] + P[2] = 1 + 0 + P[2] = 2,               we know that P[2] = 1.                       
  4.               Now note that Q[2] = P[1] + P[2] + P[3] = 0 + 1 + P[3] = 3,               which leads us to the conclusion that P[3] = 2.               However, this violates the fact that each character in the               original string must be '0' or '1'. Therefore, there exists no               such original string P where the first digit is '1'.                     
         

            Note that this algorithm produces at most two decodings for any             given encrypted string. There can never be more than one possible             way to decode a string once the first binary digit is set.         

         

            Given a String message, containing the encrypted string,             return a String[] with exactly two elements. The first element             should contain the decrypted string assuming the first character             is '0'; the second element should assume the first character is             '1'. If one of the tests fails, return the string "NONE" in its             place. For the above example, you should return {"011100011",             "NONE"}.         

       
         

            Definition         

       
                                                                                                                                                                                                                                                                                                                              
                Class:                             BinaryCode             
                Method:                             decode             
                Parameters:                             String             
                Returns:                             String[]             
                Method signature:                             String[] decode(String message)             
                (be sure your method is public)             
       
 
 
         

            Constraints         

       
          -                 message will contain between 1 and 50 characters, inclusive.       
          -                 Each character in message will be either '0', '1', '2', or           '3'.       
         

            Examples         

       
          0)        
                                                                                                                                      
                                                                                       
                     
"123210122"
                   
             
               
Returns: { "011100011",  "NONE" }
             
                                                                                       
                     

                        The example from above.                     

                   
             
       
          1)        
                                                                                                                                      
                                                                                       
                     
"11"
                   
             
               
Returns: { "01",  "10" }
             
                                                                                       
                     

                        We know that one of the digits must be '1', and the                         other must be '0'. We return both cases.                     

                   
             
       
          2)        
                                                                                                                                      
                                                                                       
                     
"22111"
                   
             
               
Returns: { "NONE",  "11001" }
             
                                                                                       
                     

                        Since the first digit of the encrypted string is '2',                         the first two digits of the original string must be                         '1'. Our test fails when we try to assume that P[0]                         = 0.                     

                   
             
       
          3)        
                                                                                                                                      
                                                                                       
                     
"123210120"
                   
             
               
Returns: { "NONE",  "NONE" }
             
                                                                                       
                     

                        This is the same as the first example, but the                         rightmost digit has been changed to something                         inconsistent with the rest of the original string. No                         solutions are possible.                     

                   
             
       
          4)        
                                                                                                                                      
                                                                                       
                     
"3"
                   
             
               
Returns: { "NONE",  "NONE" }
             
 
       
          5)        
                                                                                                                                      
                                                                                       
                     
"12221112222221112221111111112221111"
                   
             
               
Returns: 
{ "01101001101101001101001001001101001",
  "10110010110110010110010010010110010" }
             
 
       
   

      This problem statement is the exclusive and proprietary property of       TopCoder, Inc. Any unauthorized use or reproduction of this information       without the prior written consent of TopCoder, Inc. is strictly       prohibited. (c)2003, TopCoder, Inc. All rights reserved.   

 

 

import java.util.*;
import java.util.regex.*;
import java.text.*;
import java.math.*;
import java.awt.geom.*;

public class BinaryCode
{
	public String[] decode(String message)
	{
		String result1 = decode(message,0);
		String result2 = decode(message,1);
		String[] answer = new String[2];
		answer[0] = result1;
		answer[1] = result2;
		return answer;
	}
	
	private String decode(String message, int first_value){
		String result = null;
		int size = message.length();
		int P[] = new int[size];
		int Q[] = new int[size];
		char[] result_char = new char[size];
		
		byte message_byte[] = message.getBytes();
		for(int i = 0; i < size; i ++){
			Q[i] = message_byte[i] - (byte)'0';
		}
		P[0] = first_value;
		
		boolean flag = false;
		for(int i = 0; i < size; i ++){
			if(i == 0 && i == size - 1){
				if(first_value == Q[0] && first_value >= 0 && first_value <= 3){
					return message;
				}else{
					return "NONE";
				}
			}
			if(i == 0){
				P[i+1] = Q[i] - P[i];
			}else if(i < size - 1){
				P[i+1] = Q[i] - P[i] - P[i-1];
			}
			if(i < size - 1){
				if(P[i+1] > 3 || P[i+1] < 0){
					//flag = false;
					break;
				}else{
					continue;
				}
			}
			if(i == size -1){
				if(Q[i] == P[i] + P[i-1]){
					flag = true;
				}
			}
		}
		if(flag){
			for(int i = 0; i < size; i ++){
				result_char[i] = (char)(P[i] + '0');
			}
			result = new String(result_char);
		}else{
			result = "NONE";
		}
		return result;
	}

}
//Powered by [KawigiEdit] 2.0!


 

 

 

public static void main(String[] args)
	{
		long time;
		String[] answer;
		boolean errors = false;
		String[] desiredAnswer;
		
		boolean same;
		<%:start-tests%>
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("123210122");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "011100011",  "NONE" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("11");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "01",  "10" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("22111");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "NONE",  "11001" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("123210120");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "NONE",  "NONE" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("3");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "NONE",  "NONE" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		time = System.currentTimeMillis();
		answer = new BinaryCode().decode("12221112222221112221111111112221111");
		System.out.println("Time: " + (System.currentTimeMillis()-time)/1000.0 + " seconds");
		desiredAnswer = new String[]{ "01101001101101001101001001001101001",  "10110010110110010110010010010110010" };
		System.out.println("Your answer:");
		if (answer.length > 0)
		{
			System.out.print("\t{ \"" + answer[0] + "\"");
			for (int i=1; i<answer.length; i++)
				System.out.print(",\n\t  \"" + answer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		System.out.println("Desired answer:");
		if (desiredAnswer.length > 0)
		{
			System.out.print("\t{ \"" + desiredAnswer[0] + "\"");
			for (int i=1; i<desiredAnswer.length; i++)
				System.out.print(",\n\t  \"" + desiredAnswer[i] + "\"");
			System.out.println(" }");
		}
		else
			System.out.println("\t{ }");
		same = desiredAnswer.length == answer.length;
		for (int i=0; i<answer.length && same; i++)
			if (!answer[i].equals(desiredAnswer[i]))
				same = false;
		if (!same)
		{
			errors = true;
			System.out.println("DOESN'T MATCH!!!!");
		}
		else
			System.out.println("Match :-)");
		System.out.println();
		<%:end-tests%>
		
		if (errors)
			System.out.println("Some of the test cases had errors :-(");
		else
			System.out.println("You're a stud (at least on the test data)! :-D ");
	}


 

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