A - City Game

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A - City Game

Crawling in process...Crawling failedTime Limit:3000MS Memory Limit:0KB 64bit IO Format:%lld & %llu

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Description

Bob is a strategy game programming specialist. In his new city building game the gaming environment is as follows: a city is built up by areas, in which there are streets, trees, factories and buildings. There is still some space in the area that is unoccupied. The strategic task of his game is to win as much rent money from these free spaces. To win rent money you must erect buildings, that can only be rectangular, as long and wide as you can. Bob is trying to find a way to build the biggest possible building in each area. But he comes across some problems – he is not allowed to destroy already existing buildings, trees, factories and streets in the area he is building in.

Each area has its width and length. The area is divided into a grid of equal square units. The rent paid for each unit on which you're building stands is 3$.

Your task is to help Bob solve this problem. The whole city is divided into K areas. Each one of the areas is rectangular and has a different grid size with its own length M and width N. The existing occupied units are marked with the symbol R. The unoccupied units are marked with the symbol F.

Input

The first line of the input file contains an integer K – determining the number of datasets. Next lines contain the area descriptions. One description is defined in the following way: The first line contains two integers-area length M<=1000 and width N<=1000, separated by a blank space. The next M lines contain N symbols that mark the reserved or free grid units, separated by a blank space. The symbols used are:

R – reserved unit
F – free unit

In the end of each area description there is a separating line.

Output

For each data set in the input file print on a separate line, on the standard output, the integer that represents the profit obtained by erecting the largest building in the area encoded by the data set.

Sample Input

25 6R F F F F FF F F F F FR R R F F FF F F F F FF F F F F F5 5R R R R RR R R R RR R R R RR R R R RR R R R R

Sample Output

这道题目的意思：F代表可利用，R代表不可利用的，求出最大矩形的面积，打印3倍就行，但是怎么找到最大矩形这是个问题，而且要用二维数组存储，R标记0，F标记1，然后横向++，矩阵如下：

示例一：                  示例二：全是0

0 1 2 3 4 5

1 2 3 4 5 6

0 0 0 1 2 3

1 2 3 4 5 6

1 2 3 4 5 6

此题是少鹏给我讲的，33秒过得，用时最短的，算法思想就是扫描线，逐行扫描，不错。代码如下：

#include <stdio.h>#include <string.h>int map[1001][1001];int main(){int t;scanf("%d", &t );int i, j, k;    int n, m;  char ch;while(t--)    {scanf("%d %d%*c", &n, &m );memset(map, 0, sizeof(0)); //每次都得初始化for(i=1; i<=n; i++){for(j=1; j<=m; j++){ch=getchar();while(ch!='F' && ch!='R' ){ch=getchar();}if(ch=='F'){map[i][j] = map[i][j-1] + 1;}else{map[i][j] = 0;}}} //map的创建,注意对字符与空格的处理,然后转化为数字存进map  //存数方式要注意int min; int area=0; //初始面积为0int high; //定义高度////////////////////////////////////////////for(i=1; i<=n; i++){for(j=1; j<=m; j++){if(map[i][j]!=0) //访问的数据>0 : (F){min=map[i][j] ;if( area < map[i][j] ){area = map[i][j] ;}high =1; //初始高度自身for(k=i-1; k>=1; k--){if(map[k][j]==0 )break;else{high++; //高度增加if(map[k][j] < min ){min = map[k][j] ;}if(area < high*min ){area = high*min;}}}}}}printf("%d\n", area*3 );}return 0;}

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