• [Bzoj1001][BeiJing2006]狼抓兔子(网络流/对偶图)


    题目链接:https://www.lydsy.com/JudgeOnline/problem.php?id=1001

    看到大佬们都是对偶图过的,写了个最大流水过去了QAQ,网络流的无向图直接建双向边(不用建0边),然后跑dinic,最基本的dinic会被卡,可以简单优化一下。

    有空学了对偶图在补,(个_个)

     1 #include<bits/stdc++.h>
     2 using namespace std;
     3 typedef long long ll;
     4 const int maxn = 6e6 + 10;
     5 const int inf = INT_MAX;
     6 struct node {
     7     int e, w, next;
     8 }edge[maxn];
     9 int head[maxn], len;
    10 int d[maxn];
    11 void init() {
    12     memset(head, -1, sizeof(head));
    13     len = 0;
    14 }
    15 void add(int s, int e, int w) {
    16     edge[len].e = e;
    17     edge[len].w = w;
    18     edge[len].next = head[s];
    19     head[s] = len++;
    20 }
    21 inline int read() {
    22     int x = 0, f = 1; char ch = getchar();
    23     while (ch<'0' || ch>'9') { if (ch == '-')f = -1; ch = getchar(); }
    24     while (ch >= '0'&&ch <= '9') { x = x * 10 + ch - 48; ch = getchar(); }
    25     return x * f;
    26 }
    27 bool bfs(int s, int e) {
    28     queue<int>q;
    29     memset(d, 0, sizeof(d));
    30     d[s] = 1;
    31     q.push(s);
    32     while (!q.empty()) {
    33         int x = q.front(); q.pop();
    34         for (int i = head[x]; i != -1; i = edge[i].next) {
    35             int y = edge[i].e;
    36             if (edge[i].w && !d[y]) {
    37                 d[y] = d[x] + 1;
    38                 q.push(y);
    39             }
    40         }
    41     }
    42     return d[e];
    43 }
    44 int dfs(int s, int e, int limit) {
    45     if (s == e)
    46         return limit;
    47     int add, ans = 0;
    48     for (int i = head[s]; i != -1; i = edge[i].next) {
    49         int y = edge[i].e;
    50         if (d[s] == d[y] - 1 && edge[i].w && (add = dfs(y, e, min(edge[i].w, limit)))) {
    51             edge[i].w -= add;
    52             edge[i ^ 1].w += add;
    53             ans += add;
    54             limit -= add;
    55             if (!limit)
    56                 break;
    57         }
    58     }
    59     if (ans)
    60         return ans;
    61     d[s] = -1;
    62     return 0;
    63 }
    64 int dinic(int s, int e) {
    65     int ans = 0, f;
    66     while (bfs(s, e)) {
    67         while (f = dfs(s, e, inf))
    68             ans += f;
    69     }
    70     return ans;
    71 }
    72 int main() {
    73     int n, m, z;
    74     n = read(), m = read();
    75     init();
    76     for (int i = 1; i <= n; i++)
    77         for (int j = 1; j < m; j++) {
    78             z = read();
    79             add(m*(i - 1) + j, m*(i - 1) + j + 1, z);
    80             add(m*(i - 1) + j + 1, m*(i - 1) + j, z);
    81         }
    82     for (int i = 1; i < n; i++)
    83         for (int j = 1; j <= m; j++) {
    84             z = read();
    85             add(m*(i - 1) + j, m*i + j, z);
    86             add(m*i + j, m*(i - 1) + j, z);
    87         }
    88     for (int i = 1; i < n; i++)
    89         for (int j = 1; j < m; j++) {
    90             z = read();
    91             add(m*(i - 1) + j, m*i + j + 1, z);
    92             add(m*i + j + 1, m*(i - 1) + j, z);
    93         }
    94     printf("%d
    ", dinic(1, n*m));
    95     //system("pause");
    96 }

     

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  • 原文地址:https://www.cnblogs.com/sainsist/p/11115356.html
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