UVa 10746 Crime Wava-The Sequel (最小费用最大流 + 精度)
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这道题我提交很多次,多事submission error 后来重新写了,就好了,总结一下,submission error 还是说明代码有问题,这次我开始的时候没有考虑到精度问题,而且数组也开得很小
做题的时候,切忌心烦意乱,要平稳一些, 仔细一些,对于最大流的问题,要注意到点的数量,和标号,这个千万不要错
还有,最小费用最大流,一定要给每条边的反向边也赋初值,互为反向边的权值是互为倒数
代码如下:
#include <cstdio>#include <cstring>#include <queue>#include <algorithm>using namespace std;const double INFc = 1000000;const int INF = 1000000;const int N = 50;const double eps = 1e-9;int n, m, s, end;int cap[N][N], flow[N][N];double cost[N][N];void build() { //源点和police相连 for ( int i = 1; i <= m; ++i ) cap[s][i] = 1, cost[s][i] = 0.0; //bank和汇点相连 for ( int i = m+1; i < end; ++i ) cap[i][end] = 1, cost[i][end] = 0.0; //police和bank相连 for ( int i = m+1; i < end; ++i ) for ( int j = 1; j <= m; ++j ) { double c; scanf("%lf", &c); cost[j][i] = c; cost[i][j] = -c; cap[j][i] = 1; }}void init() { s = 0, end = n + m + 1; memset( cap, 0, sizeof(cap)); memset( flow, 0, sizeof(flow)); for ( int i = 0; i <= end; ++i ) for ( int j = 0; j <= end; ++j ) cost[i][j] = INFc;}void mincost() { queue<int> q; int p[N], a; bool vis[N]; double d[N], c = 0.0; while ( 1 ) { memset( vis, 0, sizeof(vis)); for ( int i = 0; i <= end; ++i ) d[i] = INFc; d[s] = 0.0; q.push(s); while ( !q.empty() ) { int u = q.front(); q.pop(); vis[u] = false; for ( int v = s; v <= end; ++v ) if ( cap[u][v] > flow[u][v] && d[v] > d[u] + cost[u][v] + eps ) { d[v] = d[u] + cost[u][v]; p[v] = u; if ( !vis[v] ) { q.push(v); vis[v] = true; } } } if ( d[end] == INFc ) break; a = INF; for ( int u = end; u != s; u = p[u] ) a = min( a, cap[p[u]][u] - flow[p[u]][u] ); for ( int u = end; u != s; u = p[u] ) { flow[p[u]][u] += a; flow[u][p[u]] -= a; } c += d[end] * a; } c /= n; printf("%.2lf\n", c+eps);}int main(){ while ( scanf("%d%d", &n, &m) != EOF && !( !n && !m ) ) { init(); build(); mincost(); }}
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