HDU 5538 House Building(矩阵处理 表面积 水)——2015ACM/ICPC亚洲区长春站

House Building

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)

Problem Description

Have you ever played the video game Minecraft? This game has been one of the world's most popular game in recent years. The world of Minecraft is made up of lots of  1×1×1  blocks in a 3D map. Blocks are the basic units of structure in Minecraft, there are many types of blocks. A block can either be a clay, dirt, water, wood, air, ... or even a building material such as brick or concrete in this game.


Figure 1: A typical world in Minecraft.

Nyanko-san is one of the diehard fans of the game, what he loves most is to build monumental houses in the world of the game. One day, he found a flat ground in some place. Yes, a super flat ground without any roughness, it's really a lovely place to build houses on it. Nyanko-san decided to build on a  n×m  big flat ground, so he drew a blueprint of his house, and found some building materials to build.

While everything seems goes smoothly, something wrong happened. Nyanko-san found out he had forgotten to prepare glass elements, which is a important element to decorate his house. Now Nyanko-san gives you his blueprint of house and asking for your help. Your job is quite easy, collecting a sufficient number of the glass unit for building his house. But first, you have to calculate how many units of glass should be collected.

There are  n  rows and  m  columns on the ground, an intersection of a row and a column is a  1×1  square,and a square is a valid place for players to put blocks on. And to simplify this problem, Nynako-san's blueprint can be represented as an integer array  ci,j(1≤i≤n,1≤j≤m) .   Which  ci,j  indicates the height of his house on the square of  i -th row and  j -th column. The number of glass unit that you need to collect is equal to the surface area of Nyanko-san's house(exclude the face adjacent to the ground).

 

Input

The first line contains an integer  T  indicating the total number of test cases.
First line of each test case is a line with two integers  n,m .
The  n  lines that follow describe the array of Nyanko-san's blueprint, the  i -th of these lines has  m  integers  ci,1,ci,2,...,ci,m ,    separated by a single space.

1≤T≤50
1≤n,m≤50
0≤ci,j≤1000

 

Output

For each test case, please output the number of glass units you need to collect to meet Nyanko-san's requirement in one line.

 

Sample Input

   
   
   
   

    
    
    
    2
3 3
1 0 0
3 1 2
1 1 0
3 3
1 0 1
0 0 0
1 0 1
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    30
20


    
     
    
    
    
    

    
     
    
    
    Figure 2: A top view and side view image for sample test case 1.
    
   
   
   
   

 

/*********************************************************************/

题意：给你积木图的俯视图，(i,j)位置放了一个高度为s[i][j]的积木，求表面积(不算下表面)。

解题思路：签到题吧，从上下左右四个方向扫一下相邻两个积木的高度差就可以了

至于俯视图，不为0的个数就是上表面积

不明白的欢迎提问

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<queue>
#include<stack>
#include<math.h>
#include<vector>
#include<map>
#include<set>
#include<stdlib.h>
#include<cmath>
#include<string>
#include<algorithm>
#include<iostream>
#define exp 1e-10
using namespace std;
const int N = 55;
const int M = 2010;
const int inf = 2147483647;
const int mod = 2009;
int s[N][N];
int main()
{
    int t,n,m,k,c,i,j;
    scanf("%d",&t);
    while(t--)
    {
        memset(s,0,sizeof(s));
        scanf("%d%d",&n,&m);
        for(k=0,i=1;i<=n;i++)
            for(j=1;j<=m;j++)
            {
                scanf("%d",&s[i][j]);
                if(s[i][j]>0)
                    k++;
            }
        for(i=1;i<=n;i++)
            for(j=1;j<=m;j++)
            {
                c=s[i][j]-s[i][j+1];
                if(c>0)
                    k+=c;
            }
        for(i=1;i<=n;i++)
            for(j=m;j>=1;j--)
            {
                c=s[i][j]-s[i][j-1];
                if(c>0)
                    k+=c;
            }
        for(j=1;j<=m;j++)
            for(i=1;i<=n;i++)
            {
                c=s[i][j]-s[i+1][j];
                if(c>0)
                    k+=c;
            }
        for(j=1;j<=m;j++)
            for(i=n;i>=1;i--)
            {
                c=s[i][j]-s[i-1][j];
                if(c>0)
                    k+=c;
            }
        printf("%d\n",k);
    }
    return 0;
}

菜鸟成长记