10765 - Doves and bombs(双连通分量)

时间:2021-07-19 19:56:37

UVA 10765 - Doves and bombs

题目链接

题意:给定一个无向图,每个点的鸽子值为删去这个点后会有几个连通块,问鸽子值前m大的点的鸽子值,如果相同,按编号排

思路:就裸的双连通分量,在每个连通分量如果是割顶的点就加一,最后如果答案为0的点,答案应该是1

代码:

#include <cstdio>
#include <cstring>
#include <vector>
#include <stack>
#include <algorithm>
using namespace std;

const int N = 10005;

struct Edge {
int u, v;
Edge() {}
Edge(int u, int v) {
this->u = u;
this->v = v;
}
};

int pre[N], bccno[N], dfs_clock, bcc_cnt;
bool iscut[N];

vector<int> g[N], bcc[N];
stack<Edge> S;

int dfs_bcc(int u, int fa) {
int lowu = pre[u] = ++dfs_clock;
int child = 0;
for (int i = 0; i < g[u].size(); i++) {
int v = g[u][i];
Edge e = Edge(u, v);
if (!pre[v]) {
S.push(e);
child++;
int lowv = dfs_bcc(v, u);
lowu = min(lowu, lowv);
if (lowv >= pre[u]) {
iscut[u] = true;
bcc_cnt++; bcc[bcc_cnt].clear(); //start from 1
while(1) {
Edge x = S.top(); S.pop();
if (bccno[x.u] != bcc_cnt) {bcc[bcc_cnt].push_back(x.u); bccno[x.u] = bcc_cnt;}
if (bccno[x.v] != bcc_cnt) {bcc[bcc_cnt].push_back(x.v); bccno[x.v] = bcc_cnt;}
if (x.u == u && x.v == v) break;
}
}
} else if (pre[v] < pre[u] && v != fa) {
S.push(e);
lowu = min(lowu, pre[v]);
}
}
if (fa < 0 && child == 1) iscut[u] = false;
return lowu;
}

void find_bcc(int n) {
memset(pre, 0, sizeof(pre));
memset(iscut, 0, sizeof(iscut));
memset(bccno, 0, sizeof(bccno));
dfs_clock = bcc_cnt = 0;
for (int i = 0; i < n; i++)
if (!pre[i]) dfs_bcc(i, -1);
}

int n, m;
struct Node {
int val, id;
bool operator < (const Node& c) const {
if (val != c.val)
return val > c.val;
return id < c.id;
}
} node[N];

int main() {
while (~scanf("%d%d", &n, &m) && n) {
int u, v;
for (int i = 0; i < n; i++) {
g[i].clear();
node[i].val = 0;
node[i].id = i;
}
while (scanf("%d%d", &u, &v)) {
if (u == -1 && v == -1)
break;
g[u].push_back(v);
g[v].push_back(u);
}
find_bcc(n);
for (int i = 1; i <= bcc_cnt; i++) {
for (int j = 0; j < bcc[i].size(); j++) {
int u = bcc[i][j];
if (iscut[u])
node[u].val++;
}
}
sort(node, node + n);
for (int i = 0; i < m; i++) {
if (node[i].val == 0) node[i].val = 1;
printf("%d %d\n", node[i].id, node[i].val);
}
printf("\n");
}
return 0;
}