Project Euler(17)

Posted on Monday, December 1st, 2008 at 7:19 pm by Universe Queen

Problem 17:

If the numbers 1 to 5 are written out in words: one, two, three, four, five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total.

If all the numbers from 1 to 1000 (one thousand) inclusive were written out in words, how many letters would be used?

NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and forty-two) contains 23 letters and 115 (one hundred and fifteen) contains 20 letters. The use of “and” when writing out numbers is in compliance with British usage.

Answer: 21124

By the way, you can see all the numbers in words here. And if you are not sure how to say numbers in English, you can look at here.

Implementation in Java:

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public class Euler17 
{
	public static String numberTransfer( int number )
	{
		String s = null;
 
		if( number <= 19 && number >=1 )
		{
			switch( number )
			{
			case 1: s = "one";break;
			case 2: s = "two";break;
			case 3: s = "three";break;
			case 4: s = "four";break;
			case 5: s = "five";break;
			case 6: s = "six";break;
			case 7: s = "seven";break;
			case 8: s = "eight";break;
			case 9: s = "nine";break;
			case 10: s = "ten";break;
			case 11: s = "eleven";break;
			case 12: s = "twelve";break;
			case 13: s = "thirteen";break;
			case 14: s = "fourteen";break;
			case 15: s = "fifteen";break;
			case 16: s = "sixteen";break;
			case 17: s = "seventeen";break;
			case 18: s = "eighteen";break;
			case 19: s = "nineteen";break;
			}
		}
		else if( number == 20 )
		{
			s = "twenty";
		}
		else if( number >= 20 && number <= 29 )
		{
			number -= number/10*10;
			s = "twenty-"+ numberTransfer( number );
		}
		else if( number == 30 )
		{
			s = "thirty";
		}
		else if( number >= 31 && number <= 39 )
		{
			number -= number/10*10;
			s = "thirty-"+ numberTransfer( number );
		}
		else if( number == 40 )
		{
			s = "forty";
		}
		else if( number >= 41 && number <= 49 )
		{
			number -= number/10*10;
			s = "forty-"+ numberTransfer( number );
		}
		else if( number == 50 )
		{
			s = "fifty";
		}
		else if( number >= 51 && number <= 59 )
		{
			number -= number/10*10;
			s = "fifty-"+ numberTransfer( number );
		}
		else if( number == 60 )
		{
			s = "sixty";
		}
		else if( number >= 61 && number <= 69 )
		{
			number -= number/10*10;
			s = "sixty-"+ numberTransfer( number );
		}
		else if( number == 70 )
		{
			s = "seventy";
		}
		else if( number >= 71 && number <= 79 )
		{
			number -= number/10*10;
			s = "seventy-"+ numberTransfer( number );
		}
		else if( number == 80 )
		{
			s = "eighty";
		}
		else if( number >= 81 && number <= 89 )
		{
			number -= number/10*10;
			s = "eighty-"+ numberTransfer( number );
		}
		else if( number == 90 )
		{
			s = "ninety";
		}
		else if( number >= 91 && number <= 99 )
		{
			number -= number/10*10;
			s = "ninety-"+ numberTransfer( number );
		}
		else if( number == 100 || number == 200 || number == 300 || number == 400 || number == 500 || number == 600 || number == 700 || number == 800 || number == 900 )
		{
			number /= 100;
			s = numberTransfer( number ) + " hundred";
		}
		else if( number >= 101 && number <= 999 )
		{
			int h = number/100;
			number = number - h*100;
			s = numberTransfer( h ) + " hundred and " + numberTransfer( number );
		}
		else if( number == 1000 )
		{
			s = "one thousand";
		}
		else if( number >=1000 && number <= 9999 )
		{
			int t = number/1000;
			number = number - t*1000;
			s = numberTransfer( t ) + " thousand " + numberTransfer( number );
		}
		else
		{
			s = "ERROR";
		}
 
		return s;
	}
 
	public static void main(String[] args) 
	{	
		int result = 0;
		String s;
 
		for( int i=1; i<=1000; i++ )
		{
			s = numberTransfer( i );
 
			for( int j=0; j<s.length(); j++ )
			{
				if( s.charAt(j) != ' ' && s.charAt(j) != '-' )
				{
					result++;
				}
			}
		}
 
		System.out.println( result );
	}
}

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    Your code could be a lot more compact using arrays

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    Yes, but when there are more than 200 problems to solve, it is very hard to optimize every solution’s code. I just wanna solve all the problems as soon as possible. Anyway, thanks for pointing out it. Using array could surely make the code shorter.

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    thousand = {’onethousand’};
    tens = {’twenty’,'thirty’,'forty’,'fifty’,’sixty’,’seventy’,'eighty’,'ninety’};
    ten = {’ten’, ‘eleven’,'twelve’,'thirteen’,'fourteen’,'fifteen’,’sixteen’,’seventeen’,…
    ‘eighteen’,'nineteen’};
    ones = {’one’,'two’,'three’,'four’,'five’,’six’,’seven’,'eight’,'nine’};

    mthousand = length(thousand{1});

    mhun = 0;
    for i = 1:1:9
    mhun = mhun + length(hundred{i});
    end
    mhun = mhun *100;

    mtens = 0;
    for j = 1:1:8
    mtens = mtens + length(tens{j});
    end
    mtens = mtens *100;

    mten = 0;
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    mten = mten +length(ten{k});
    end
    mten = mten *10;

    mones = 0;
    for p = 1:1:9
    mones = mones + length(ones{p});
    end
    mones = mones *90;

    mand = 3*99*9;

    mtotal = mthousand + mhun + mtens + mten + mones + mand;

    fprintf(’\n The number of letters would be used %5.0f. \n’, mtotal)

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