相关链接
题目传送门:http://www.lydsy.com/JudgeOnline/problem.php?id=3144
神犇题解:http://www.cnblogs.com/zig-zag/archive/2013/05/13/3076563.html
解题报告
这题根据阶段来建图应该是非常经典的建图方式
考虑每一个纵轴,上端连T,下端连S
这样的话,最后在S集合中的点等价于在斜面下方
而在T集合中的点等价于在斜面上方
考虑D的限制,连两条容量为INF的边就好啦!
Code
#include<bits/stdc++.h> #define LL long long using namespace std; const int N = 70000; const int M = N << 2; const int INF = 1e9; int p,q,r,d,S,T,head[N],nxt[M],to[M],flow[M]; int dx[]={1,0,-1,0},dy[]={0,1,0,-1}; inline void Add_Edge(int u, int v, int f = INF) { static int E = 1; to[++E] = v; nxt[E] = head[u]; head[u] = E; flow[E] = f; to[++E] = u; nxt[E] = head[v]; head[v] = E; flow[E] = 0; } inline int read() { char c=getchar(); int f=1,ret=0; while (c<'0'||c>'9') {if(c=='-')f=-1;c=getchar();} while (c<='9'&&c>='0') {ret=ret*10+c-'0';c=getchar();} return ret * f; } inline int id(int x, int y, int z) { return ((y - 1) * q + x - 1) * (r + 1) + z; } class Network_Flow{ int cur[N],dis[N]; queue<int> que; public: inline int MaxFlow() { int ret = 0; while (BFS()) { memcpy(cur, head, sizeof(head)); ret += DFS(S, INF); } return ret; } private: inline bool BFS() { memset(dis,60,sizeof(dis)); que.push(S); dis[S] = 0; while (!que.empty()) { int w = que.front(); que.pop(); for (int i=head[w];i;i=nxt[i]) { if (dis[to[i]] > INF && flow[i]) { dis[to[i]] = dis[w] + 1; que.push(to[i]); } } } return dis[T] < INF; } int DFS(int w, int f) { if (w == T) return f; else { int ret = 0; for (int tmp,&i=cur[w];i;i=nxt[i]) { if (dis[to[i]] == dis[w] + 1 && flow[i]) { tmp = DFS(to[i], min(f, flow[i])); flow[i] -= tmp; flow[i^1] += tmp; f -= tmp; ret += tmp; if (!f) break; } } return ret; } } }Dinic; int main() { p = read(); q = read(); r = read(); d = read(); S = 0; T = N - 1; for (int z=1;z<=r;z++) { for (int y=1;y<=p;y++) { for (int x=1,v;x<=q;x++) { Add_Edge(id(x,y,z), id(x,y,z+1), read()); for (int k=0,X,Y;k<4;k++) { X = x + dx[k]; Y = y + dy[k]; if (1 <= X && X <= q && 1 <= Y && Y <= p) { if (z > d) Add_Edge(id(x,y,z), id(X,Y,z-d)); if (z+d+1 <= r) Add_Edge(id(X,Y,z+d+1), id(x,y,z)); } } } } } for (int x=1;x<=q;x++) { for (int y=1;y<=p;y++) { Add_Edge(S, id(x,y,1)); Add_Edge(id(x,y,r+1), T); } } printf("%d\n",Dinic.MaxFlow()); return 0; }
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