UVA - 201 Squares（水）

Squares

Time Limit: 3000MS Memory Limit: Unknown 64bit IO Format: %lld & %llu

Submit Status

Description

A children's board game consists of a square array of dots that contains lines connecting some of the pairs of adjacent dots. One part of the game requires that the players count the number of squares of certain sizes that are formed by these lines. For example, in the figure shown below, there are 3 squares-2 of size 1 and 1 of size 2. (The ``size" of a square is the number of lines segments required to form a side.)

Your problem is to write a program that automates the process of counting all the possible squares.

Input

The input file represents a series of game boards. Each board consists of a description of a square array of n² dots (where 2 <= n <= 9) and some interconnecting horizontal and vertical lines. A record for a single board with n² dots and m interconnecting lines is formatted as follows:

 Line 1: n the number of dots in a single row or column of the array 
 Line 2: m the number of interconnecting lines 
 Each of the next m lines are of one of two types: 
H i j indicates a horizontal line in row i which connects 
 the dot in column j to the one to its right in column j + 1 
 or 
V i j indicates a vertical line in column i which connects 
 the dot in row j to the one below in row j + 1 

Information for each line begins in column 1. The end of input is indicated by end-of-file. The first record of the sample input below represents the board of the square above.

Output

For each record, label the corresponding output with ``Problem #1", ``Problem #2", and so forth. Output for a record consists of the number of squares of each size on the board, from the smallest to the largest. lf no squares of any size exist, your program should print an appropriate message indicating so. Separate output for successive input records by a line of asterisks between two blank lines, like in the sample below.

Sample Input

416H 1 1H 1 3H 2 1H 2 2H 2 3H 3 2H 4 2H 4 3V 1 1V 2 1V 2 2V 2 3V 3 2V 4 1V 4 2V 4 323H 1 1H 2 1V 2 1

Sample Output

Problem #12 square (s) of size 11 square (s) of size 2**********************************Problem #2No completed squares can be found.

横行和竖列分别存放，对各种边长分别枚举找到符合要求的即可。

#include<iostream>#include<cstring>#include<string>using namespace std;int H[12][12];int V[12][12];bool judge(int len, int x, int y){for (int i = x; i < x + len;i++)if (!H[y][i]) return false;for (int i = x; i < x + len;i++)if (!H[y + len][i]) return false;for (int j = y; j < y + len;j++)if (!V[x][j]) return false;for (int j = y; j < y + len;j++)if (!V[x + len][j]) return false;return true;}int main(){int n,l,x,y;int ans[12];char op;int cas = 1;while (cin >> n){memset(H, 0, sizeof(H));memset(V, 0, sizeof(V));memset(ans, 0, sizeof(ans));cin >> l;while (l--){cin >> op;cin >> x >> y;if (op == 'H')H[x][y] = 1;elseV[x][y] = 1;}for (int len = 1; len <= n - 1;len++)for (int i = 1; i <= n-1; i++)for (int j = 1; j <= n-1; j++){if (judge(len,i,j)) ans[len]++;}if (cas != 1){cout << endl;cout << "**********************************" << endl;cout << endl;}cout << "Problem #" << cas++ << endl << endl;int ok = 0;for (int i = 1; i<= n - 1; i++){if (ans[i]){cout << ans[i] << " square (s) of size " << i << endl;ok = 1;}}if (!ok) cout << "No completed squares can be found." << endl;}}