记录编号 | 484226 | 评测结果 | AAAAAAAAAAA | ||
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题目名称 | [网络流24题] 方格取数问题 | 最终得分 | 100 | ||
用户昵称 | 是否通过 | 通过 | |||
代码语言 | C++ | 运行时间 | 0.023 s | ||
提交时间 | 2018-01-22 17:08:31 | 内存使用 | 1.08 MiB | ||
//发现要用到复杂(超过6个符号)的位运算时马上住手,改用循环预处理!虽然慢一点,但是不会错! #include <bits/stdc++.h> using namespace std; struct Edge { int v, flow, cap, next; }; const int MAXN = 10002, MAXM = 4e4, INF = 0x3f3f3f3f; const int di[] = { 1, -1, 0, 0 }, dj[] = { 0, 0, 1, -1 }; int R, C, N, M, S, T, Tot, e_ptr=1, head[MAXN+10]; Edge E[(MAXM<<1)+10]; int ID[110][110]; void AddEdge(int u, int v, int cap) { E[++e_ptr] = (Edge) { v, 0, cap, head[u] }; head[u] = e_ptr; E[++e_ptr] = (Edge) { u, 0, 0, head[v] }; head[v] = e_ptr; } int d[MAXN+10], cur[MAXN+10]; bool BFS() { queue<int> Q; memset(d, 0xff, sizeof(d)); Q.push(S); d[S] = 0; while(!Q.empty()) { int u = Q.front(); Q.pop(); for(int j=head[u]; j; j=E[j].next) { int v = E[j].v, f = E[j].flow, c = E[j].cap; if(f<c && d[v] == -1) { d[v] = d[u] + 1; if(v == T) return true; else Q.push(v); } } } return false; } int DFS(int u, int flow) { if(u == T || flow == 0) return flow; int res = flow; for(int &j=cur[u]; j; j=E[j].next) { int v = E[j].v, f = E[j].flow, c = E[j].cap; if(d[v] == d[u] + 1) { int tmp = DFS(v, min(res, c-f)); res -= tmp; E[j].flow += tmp; E[j^1].flow -= tmp; } } return flow - res; } int Dinic() { int MaxFlow = 0, CurFlow = 0; while(BFS()) { for(int i=1; i<=N; i++) cur[i] = head[i]; while( (CurFlow = DFS(S, INF)) != 0 ) MaxFlow += CurFlow; } return MaxFlow; } inline bool valid(int i, int j) { return i>=1 && i<=R && j>=1 && j<=C; } void Label() { int idx = 0; for(int i=1; i<=R; i++) for(int j = 2 - (i&1); j<=C; j+=2) ID[i][j] = ++idx; for(int i=1; i<=R; i++) for(int j = 1 + (i&1); j<=C; j+=2) ID[i][j] = ++idx; } void Init() { int Cur; scanf("%d%d", &R, &C); N = R*C + 2; S = R*C + 1; T = R*C + 2; Label(); for(int i=1; i<=R; i++) for(int j=1; j<=C; j++) { scanf("%d", &Cur); Tot += Cur; if(((i^j)&1) == 0) { AddEdge(S, ID[i][j], Cur); for(int t=0; t<4; t++) { int ni = i + di[t], nj = j + dj[t]; if(!valid(ni, nj)) continue; AddEdge(ID[i][j], ID[ni][nj], INF); } } else AddEdge(ID[i][j], T, Cur); } } void Work() { printf("%d", Tot - Dinic()); } int main() { freopen("grid.in", "r", stdin); freopen("grid.out", "w", stdout); Init(); Work(); return 0; }