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안드로이드용 영어 어학기 Smart LC

스마트LC 소개 링크:
http://blog.ehxm.net/123

티스토어 링크:
http://bit.ly/awW3XW

알고리즘 (기본) - ACM Seoul Regional A - Score

Posted by EHXM. Posted in " 경험/알고리즘 "2009/10/27 12:09

The 30th Annual ACM International Collegiate
Programming Contest ASIA Regional - Seoul

Problem A
Score

There is an objective test result such as “OOXXOXXOOO”. An ‘O’ means a correct answer of a problem and
an ‘X’ means a wrong answer. The score of each problem of this test is calculated by itself and its just
previous consecutive ‘O’s only when the answer is correct. For example, the score of the 10th problem is 3
that is obtained by itself and its two previous consecutive ‘O’s.
Therefore, the score of “OOXXOXXOOO” is 10 which is calculated by “1+2+0+0+1+0+0+1+2+3”.
You are to write a program calculating the scores of test results.

Input
Your program is to read from standard input. The input consists of T test cases. The number of test cases T is
given in the first line of the input. Each test case starts with a line containing a string composed by ‘O’ and
‘X’ and the length of the string is more than 0 and less than 80. There is no spaces between ‘O’ and ‘X’.

Output
Your program is to write to standard output. Print exactly one line for each test case. The line is to contain the
score of the test case.
The following shows sample input and output for five test cases.

Sample Input
5
OOXXOXXOOO
OOXXOOXXOO
OXOXOXOXOXOXOX
OOOOOOOOOO
OOOOXOOOOXOOOOX

Output for the Sample Input
10
9
7
55
30

관련 TAG로 검색해보세요. : ACM, Algorithms, icpc, 알고리즘

¬ COMMENT [2]

  1. Posted by 우욱2010/02/15 18:08

    넘 쉬운데요.. 진짜 ACM 문제 맞나요? -_-;;
    <html>
    <head>
    <title>sol 30'th ACM prob. A</title>
    <script type="text/javascript">
    function calc_score()
    {
    var given_str = document.getElementById( 'inStr' ).value;
    var sum = 0;
    var sub_sum = 0;
    for( var ii = 0; ii < given_str.length; ii++ )
    {
    var cur_char = given_str.substr( ii, 1 );
    if( 'O' == cur_char )
    {
    sub_sum++;
    sum += sub_sum;
    }
    else
    {
    sub_sum = 0;
    }
    }
    document.getElementById( 'rst' ).value = sum;
    }
    </script>
    <head>
    <body>
    <input type="text" id="inStr" />
    <input type="button" onclick="javascript:calc_score();" value="calc" /><br />
    <input type="text" id="rst" readonly="true" />
    </body>
    </html>

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알고리즘 (Divide , Recursion) Fractal Streets

Posted by EHXM. Posted in " 경험/알고리즘 "2009/10/26 01:56

G. Fractal Streets

With a growing desire for modernization in our increasingly larger cities comes a need for new street designs. Chris is one of the unfortunate city planners responsible for these designs. Each year the demands keep increasing, and this year he has even been asked to design a completely new city.

More work is not something Chris needs right now, since like any good bureaucrat, he is extremely lazy. Given that this is a character trait he has in common with most computer scientists it should come as no surprise that one of his closest friends, Paul, is in fact a computer scientist. And it was Paul who suggested the brilliant idea that has made Chris a hero among his peers: Fractal Streets! By using a Hilbert curve, he can easily fill in rectangular plots of arbitrary size with very little work.

A Hilbert curve of order 1 consists of one “cup”. In a Hilbert curve of order 2 that cup is replaced by four smaller but identical cups and three connecting roads. In a Hilbert curve of order 3 those four cups are in turn replaced by four identical but still smaller cups and three connecting roads, etc. At each corner of a cup a driveway (with mailbox) is placed for a house, with a simple successive numbering. The house in the top left corner has number 1, and the distance between two adjacent houses is 10 m.

The situation is shown graphically in figure 2. As you can see the Fractal Streets concept successfully eliminates the need for boring street grids, while still requiring very little effort from our bureaucrats.

 

(a) Order 1                                                  (b) Order 2                                               (c) Order 3

Figure 2: Hilbert curves of order 1, 2 and 3, with the location of the houses indicated.

As a token of their gratitude, several mayors have offered Chris a house in one of the many new neighborhoods built with his own new scheme. Chris would now like to know which of these offerings will get him a house closest to the local city planning office (of course each of these new neighborhoods has one). Luckily he will not have to actually drive along the street, because his new company “caris one of those new flying cars. This high-tech vehicle allows him to travel in a straight line from his driveway to the driveway of his new office. Can you write a program to determine the distance he will have to y for each offer (excluding the vertical distance at takeoand landing)?


Input

On the first line of the input is a positive integer, the number of test cases. Then for each test case:

A line containing a three positive integers, n< 16 and h,o < 231, specifying the order of the Hilbert curve, and the house numbers of the offered house and the local city planning office.

Output

For each test case:

One line containing the distance Chris will have to y to his work in meters, rounded to the nearest integer.


Example
Input
3
1
1 2
2
16 1
3
4 33
14
Output
10
30
50



Order n일때의 city 모양은 order n-1d의 city 모양을 네 부분에서 이어지는 모양으로, order가 증가함에 따라 모양이 규칙적으로 증가하는 프렉탈입니다.

문제는 위 그림과 같은 규칙으로 order가 증가할때, order n에서 h번째와 o번째 위치의 거리를 구하는 것입니다.



우선 규칙을 살펴보면, order n에서의 1.왼쪽 상단에 있는 city 모양은 order n-1의 city를 시계방향으로 90도 회전한 모양입니다. 그리고 2.오른쪽의 상,하단은 각각 order n-1의 city를 그대로 붙인 모양이고 마지막으로 3. 왼쪽 하단에 있는 모양은 반시계방향으로 90도 회전한 모양입니다. 주의할점은 왼쪽 상,하단의 city 집 번호 순서가 n-1일때의 집 번호 순서와는 반대로 되어 있다는 점입니다.

그래서 order n일때의 m번째 집의 위치를 재귀형식으로 네가지 부분으로 나누어서 생각해 볼 수 있죠.
그리고 그때의 한 부분의 집의 개수 a는 2^(2*(n-1)) , 그 부분의 가로부분의 집의 개수 b는 2^(n-1)임을 알 수 있죠.
그래서 위 n=3에서의 왼쪽 상단부분의 집의 개수 a는 16개이고, b는 4가 되죠.

그래서 order n일때의 m번째의 좌표를 구해보면 다음과 같습니다.
position solve( n, m)
1. m번째 점이 좌측 상단이면, 즉 m <= a
solve(n-1, a-m+1)의 x,y값을 90도 회전

2. m번째 점이 우측 상단이면, 즉 m <= 2*a
solve(n-1, m-a)의 x+b, y

3. m번째 점이 우측 하단이면,
solve(n-1, m-2*a)의 x+b, y+b

4. m번째 점이 좌측 하단이면,
solve(n-1, a-(m-3*a)+1)의 x, y+b

이렇게 구한 x,y값으로 거리를 구하면 됩니다.



typedef struct{
	int x;
	int y;
}point;


point solve(long order,long num){
	if(order == 1){
		point a;
		if(num == 1){
			a.x = 1;
			a.y = 1;
		}
		else if(num == 2){
			a.x = 2;
			a.y = 1;
		}
		else if(num == 3){
			a.x = 2;
			a.y = 2;
		}
		else if(num == 4){
			a.x = 1;
			a.y = 2;
		}
		return a;
	}
	long div = pow(2.0,2*(order-1));
	FOR(i, 4){
		if(num <= (i+1)*div){
			
			if(i==0){
				point tmp = solve(order-1, div - (num-i*div-1));
				
				long double dx = (pow(2.0,order-1)+1)/2.0;
				long double dy = dx;

				long double cx = tmp.x - dx;
				long double cy = dy - tmp.y;
				
				long double fx = cy;
				long double fy = -cx;
				
				tmp.x = dx + fx;
				tmp.y = dy - fy;
		
				
				return tmp;
			}
			else if(i==1){
				point tmp = solve(order-1, num-i*div);
				tmp.x = tmp.x + pow(2.0,order-1);
				return tmp;
			}
			else if(i==2){
				point tmp = solve(order-1, num-i*div);
				tmp.x = tmp.x + pow(2.0,order-1);
				tmp.y = tmp.y + pow(2.0,order-1);
				return tmp;
			}
			if(i==3){
				
				point tmp = solve(order-1, div - (num-i*div-1));
				long double dx = (pow(2.0,order-1)+1)/2.0;
				long double dy = dx;

				long double cx = tmp.x - dx;
				long double cy = dy - tmp.y;
				
				long double fx = -cy;
				long double fy = cx;
				
				tmp.x = dx + fx;
				tmp.y = dy - fy;

				
				tmp.y = tmp.y + pow(2.0,order-1);
				return tmp;
			}
		}
	}
}

int main(){
	int testCase;
	cin >> testCase;
	FOR(testi, testCase){
		long o,a,b;
		cin >> o >> a >> b;
		point pa = solve(o,a);
		point pb = solve(o,b);
		long double tmp = (pa.x-pb.x)*(pa.x-pb.x)+(pa.y-pb.y)*(pa.y-pb.y);
		long result = (long)(sqrt(tmp)*10+0.5);
		cout << result << endl;
	}
	
	return 0;
}

관련 TAG로 검색해보세요. : ACM, divide, fractal, Recursion, 알고리즘

¬ COMMENT [0]

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알고리즘 Dynamic Programming - Is Bigger Smarter?

Posted by EHXM. Posted in " 경험/알고리즘 "2009/06/06 22:12

Question 1: Is Bigger Smarter?

The Problem

Some people think that the bigger an elephant is, the smarter it is. To disprove this, you want to take the data on a collection of elephants and put as large a subset of this data as possible into a sequence so that the weights are increasing, but the IQ's are decreasing.

The input will consist of data for a bunch of elephants, one elephant per line, terminated by the end-of-file. The data for a particular elephant will consist of a pair of integers: the first representing its size in kilograms and the second representing its IQ in hundredths of IQ points. Both integers are between 1 and 10000. The data will contain information for at most 1000 elephants. Two elephants may have the same weight, the same IQ, or even the same weight and IQ.

Say that the numbers on the i-th data line are W[i] and S[i]. Your program should output a sequence of lines of data; the first line should contain a number n; the remaining n lines should each contain a single positive integer (each one representing an elephant). If these n integers are a[1], a[2],..., a[n] then it must be the case that

   W[a[1]] < W[a[2]] < ... < W[a[n]]
and
   S[a[1]] > S[a[2]] > ... > S[a[n]]
In order for the answer to be correct, n should be as large as possible. All inequalities are strict: weights must be strictly increasing, and IQs must be strictly decreasing. There may be many correct outputs for a given input, your program only needs to find one.

Sample Input

6008 1300
6000 2100
500 2000
1000 4000
1100 3000
6000 2000
8000 1400
6000 1200
2000 1900

Sample Output

4
4
5
9
7


DP로 풀었음.
W에 대해서 정렬후
if(W[i]>W[j] && S[i]<S[j]) len[j] = (Maxlen[j] + 1);
else len[j] = Maxlen[j];
Maxlen[i] = Max(len[j])
0 < i < n, 0 < j < i

헤더생략..

class piii{
public:
	int num;
	int W;
	int S;
};

bool inputCompare(piii a, piii b){
	if( a.W == b.W ){
		return a.S > b.S;
	}
	return a.W < b.W;
}

int main(){

	//input
	freopen("bs.in","r",stdin);
	freopen("bs.out","w",stdout);
	
	string inputLine="";
	vector inputData;
	int inputCount=1;

	piii tmp;
	while(cin >> tmp.W && cin >> tmp.S){
		tmp.num = inputCount++;
		inputData.push_back(tmp);	
	}
	sort(ALL(inputData), inputCompare);

	//dp
	int max_len[1000];
	int prev[1000];
	int max =0;
	int max_pos = 0;
	FOR(k, inputData.size()){
		max_len[k] = 1;
		prev[k] = 0;
		FOR(j, k){
			if(inputData[j].S > inputData[k].S){
				if(inputData[j].W < inputData[k].W){
					if(max_len[j] + 1 > max_len[k]){
						max_len[k] = max_len[j]+1;
						prev[k] = j;

						if(max <= max_len[k]){
							max = max_len[k];
							max_pos = k;
						}
					}
				}
			}
		}
	}


	//tracking
	cout << max << endl;
	stack solution;
	int i = max_pos;
	while(i>0){
		solution.push(i);
		i = prev[i];		
	}

	while(solution.size() != 0){
		
		cout << inputData[solution.top()].num << endl;
		solution.pop();
	}

	return 0;
}

관련 TAG로 검색해보세요. : ACM, Algorithm, DP, Dynamic Programming, 알고리즘

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[안드로이드] 영어 어학기 어플

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2010년 대한민국 매쉬업 경진대회 후기, 아이디어 전쟁을 다녀와서..

아이디어의 전쟁의 현장이었던 2010년 대한민국 매쉬업 경진대회에 다녀왔습니다. 이번 대회는 지난 2월 6일(토요일), 삼성동 코엑스 컨퍼런스룸 401에서 열렸습니다. 이번.....

2010년 100가지가 넘는 안드로이드폰이 몰려온다!

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