Oil Skimming
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1487 Accepted Submission(s): 612
to a certain "green" resources company, there is a new profitable
industry of oil skimming. There are large slicks of crude oil floating
in the Gulf of Mexico just waiting to be scooped up by enterprising oil
barons. One such oil baron has a special plane that can skim the surface
of the water collecting oil on the water's surface. However, each scoop
covers a 10m by 20m rectangle (going either east/west or north/south).
It also requires that the rectangle be completely covered in oil,
otherwise the product is contaminated by pure ocean water and thus
unprofitable! Given a map of an oil slick, the oil baron would like you
to compute the maximum number of scoops that may be extracted. The map
is an NxN grid where each cell represents a 10m square of water, and
each cell is marked as either being covered in oil or pure water.
input starts with an integer K (1 <= K <= 100) indicating the
number of cases. Each case starts with an integer N (1 <= N <=
600) indicating the size of the square grid. Each of the following N
lines contains N characters that represent the cells of a row in the
grid. A character of '#' represents an oily cell, and a character of '.'
represents a pure water cell.
each case, one line should be produced, formatted exactly as follows:
"Case X: M" where X is the case number (starting from 1) and M is the
maximum number of scoops of oil that may be extracted.
6
......
.##...
.##...
....#.
....##
......
#include<stdio.h>
#include<string.h>
#include<iostream>
#include<algorithm>
using namespace std;
const int maxn = ;
const int INF = ;
bool vis[maxn];
int link[maxn];
int G[maxn][maxn];
int x_cnt;
int y_cnt;
int temp[maxn][maxn];
char str[maxn][maxn];
bool find(int u)
{
for(int i = ; i <= y_cnt; i++)
{
if(!vis[i] && G[u][i])
{
vis[i] = true;
if(link[i] == - || find(link[i]))
{ link[i] = u;
return true;
}
}
}
return false;
}
int solve()
{
int num = ;
memset(link, -, sizeof(link));
for(int i = ; i <= x_cnt; i++)
{
memset(vis, false, sizeof(vis));
if(find(i))
num++;
}
return num;
}
int main()
{
int t,cnt=;
scanf("%d",&t);
while(t--){
cnt++;
int n;
scanf("%d",&n);
int tmp=;
memset(temp,,sizeof(temp));
memset(G,,sizeof(G));
memset(str,,sizeof(str));
for(int i=;i<n;i++)
{
scanf("%s",&str[i]);
for(int j=;j<n;j++)
if(str[i][j]=='#')
temp[i][j]=++tmp;
}
x_cnt=tmp, y_cnt=tmp;
for(int i=;i<n;i++)
for(int j=;j<n;j++)
{
if(str[i][j]!='#') continue;
if(i>&&str[i-][j]=='#') G[temp[i][j]][temp[i-][j]]=;
if(i<n-&&str[i+][j]=='#') G[temp[i][j]][temp[i+][j]]=;
if(j>&&str[i][j-]=='#') G[temp[i][j]][temp[i][j-]]=;
if(j<n-&&str[i][j+]=='#') G[temp[i][j]][temp[i][j+]]=;
} printf("Case %d: %d\n",cnt,solve()/);
}
return ;
}
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