【bzoj1123】[POI2008]BLO

*题目描述:
Byteotia城市有n个 towns m条双向roads. 每条 road 连接 两个不同的 towns ,没有重复的road. 所有towns连通。
*输入
输入n<=100000 m<=500000及m条边
*输出:
输出n个数,代表如果把第i个点去掉,将有多少对点不能互通。
*样例输入:
5 5
1 2
2 3
1 3
3 4
4 5
*样例输出:
8
8
16
14
8
*题解:
裸的找割点。答案就是每个割点的子树的大小乘上除了子树外的点,还有子树和子树之间的对数,最后还有每个点和其他n-1个点的对数。
*代码:

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>

#ifdef WIN32
    #define LL "%I64d"
#else
    #define LL "%lld"
#endif

#ifdef CT
    #define debug(...) printf(__VA_ARGS__)
    #define setfile() 
#else
    #define debug(...)
    #define filename ""
    #define setfile() freopen(filename".in", "r", stdin); freopen(filename".out", "w", stdout);
#endif

#define R register
#define getc() (S == T && (T = (S = B) + fread(B, 1, 1 << 15, stdin), S == T) ? EOF : *S++)
#define dmax(_a, _b) ((_a) > (_b) ? (_a) : (_b))
#define dmin(_a, _b) ((_a) < (_b) ? (_a) : (_b))
#define cmax(_a, _b) (_a < (_b) ? _a = (_b) : 0)
#define cmin(_a, _b) (_a > (_b) ? _a = (_b) : 0)
char B[1 << 15], *S = B, *T = B;
inline int FastIn()
{
    R char ch; R int cnt = 0; R bool minus = 0;
    while (ch = getc(), (ch < '0' || ch > '9') && ch != '-') ;
    ch == '-' ? minus = 1 : cnt = ch - '0';
    while (ch = getc(), ch >= '0' && ch <= '9') cnt = cnt * 10 + ch - '0';
    return minus ? -cnt : cnt;
}
#define maxn 100010
#define maxm 1000010
struct Edge
{
    Edge *next;
    int to;
}*last[maxn], e[maxm], *ecnt = e;
inline void link(R int a, R int b)
{
    *++ecnt = (Edge) {last[a], b}; last[a] = ecnt;
}
int dfn[maxn], low[maxn], timer, n, m, size[maxn];
long long ans[maxn];
void dfs(R int x, R int fa)
{
    dfn[x] = low[x] = ++timer;
    size[x] = 1;
    R int tmp = 0;
    for (R Edge *iter = last[x]; iter; iter = iter -> next)
    {
        R int pre = iter -> to;
        if (pre != fa)
        {
            if (!dfn[pre])
            {
                dfs(pre, x);
                size[x] += size[pre];
                cmin(low[x], low[pre]);
                if (dfn[x] <= low[pre])
                {
                    ans[x] += 1ll * tmp * size[pre];
                    tmp += size[pre];
                }
            }
            else cmin(low[x], dfn[pre]);
        }
    }
    ans[x] += 1ll * tmp * (n - 1 - tmp);
}
int main()
{
//  setfile();
    n = FastIn(), m = FastIn();
    for (R int i = 1; i <= m; ++i)
    {
        R int a = FastIn(), b = FastIn();
        link(a, b); link(b, a);
    }
    dfs(1, 0);
    for (R int i= 1; i <= n; ++i) printf("%lld\n", (ans[i] + n - 1) << 1 );
    return 0;
}
posted @ 2016-05-27 16:07  cot  阅读(158)  评论(0编辑  收藏  举报