hdu 5652 India and China Origins 并查集+逆序

时间:2021-12-02 22:33:55

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5652

题意:一张n*m个格子的点,0表示可走,1表示堵塞。每个节点都是四方向走。开始输入初始状态方格,之后输入Q个操作,表示第(x,y)个格子由0变为1;问你在第几次时不能由最下的一行到最上面的一行。中国在最上面一行的上面,印度在最下面一行的下面;如果最终还是连通的,输出-1;

思路:直接离线逆序处理,用并查集维护;

#include<bits/stdc++.h>
using namespace std;
#define rep0(i,l,r) for(int i = (l);i < (r);i++)
#define rep1(i,l,r) for(int i = (l);i <= (r);i++)
#define rep_0(i,r,l) for(int i = (r);i > (l);i--)
#define rep_1(i,r,l) for(int i = (r);i >= (l);i--)
#define MS0(a) memset(a,0,sizeof(a))
#define MS1(a) memset(a,-1,sizeof(a))
#define MSi(a) memset(a,0x3f,sizeof(a))
#define inf 0x3f3f3f3f
#define lson l, m, rt << 1
#define rson m+1, r, rt << 1|1
typedef pair<int,int> PII;
#define A first
#define B second
#define MK make_pair
typedef __int64 ll;
typedef unsigned int uint;
template<typename T>
void read1(T &m)
{
T x=,f=;char ch=getchar();
while(ch<''||ch>''){if(ch=='-')f=-;ch=getchar();}
while(ch>=''&&ch<=''){x=x*+ch-'';ch=getchar();}
m = x*f;
}
template<typename T>
void read2(T &a,T &b){read1(a);read1(b);}
template<typename T>
void read3(T &a,T &b,T &c){read1(a);read1(b);read1(c);}
template<typename T>
void out(T a)
{
if(a>) out(a/);
putchar(a%+'');
}
int T,kase = ,i,j,k,n,m;
const int N = ;
char s[N][N];
queue<PII> pq;
inline bool check(int nx,int ny)
{
if(nx < || nx >= n || ny < || ny >= m) return false;
return true;
}
int dir[][] = {{,,,-},{,,-,}};
int f[N*N];
int Find(int a){return a==f[a]?f[a]:f[a]=Find(f[a]);}
void _union(int a,int b){int p = Find(a),q = Find(b);f[p] = q;}
int idx(int r,int c) {return r*m+c;}
void BFS(int r,int c)
{
pq.push({r,c});
int d = Find(idx(r,c));
while(!pq.empty()){
r = pq.front().A,c = pq.front().B;pq.pop();
for(int i = ;i < ;i++){
int x = r + dir[][i] , y = c + dir[][i];
int id = Find(idx(x,y));
if(!check(x,y) || s[x][y] == '' || id == d) continue;
f[id] = d;
pq.push({x,y});
}
}
}
int x[N*N],y[N*N];
int main()
{
//freopen("data.txt","r",stdin);
//freopen("out.txt","w",stdout);
read1(T);
while(T--){
read2(n,m);
int tot = n*m;
rep1(i,,tot+) f[i] = i;
rep0(i,,n) scanf("%s",s[i]);
int Q;
read1(Q);
rep1(i,,Q){
read2(x[i],y[i]);
s[x[i]][y[i]] = '';
}
rep0(i,,n) rep0(j,,m)if(s[i][j] == ''){
int index = idx(i,j);
if(f[index] == index){
BFS(i,j);
}
}
rep0(i,,m) _union(i,tot+);
rep0(i,,m) _union(idx(n-,i),tot+);
if(f[tot+] == f[tot+]){
puts("-1");
continue;
}
rep_1(i,Q,){
s[x[i]][y[i]] = '';
BFS(x[i],y[i]);
if(Find(tot+) == Find(tot+)){
out(i);
puts("");
break;
}
}
}
return ;
}