题目大意:
大概就是说,一个农夫在自己的农庄里面有n块田地。 在这n块田地中有m条路径(双向),以及w条虫洞,虫洞可以使得回到n时刻前的某块地上。
问,农夫能否在这个农庄里面通过虫洞看到从前的自己。
算法分析:
这道题就是判断是否会出现负环,直接把虫洞当成一条权值为负值的路径即可。
用到的算法是ballman_ford算法。直接是裸的算法模板。我因为个人问题WA了n次,最后写了n次后才发现问题所在。 bellman_ford算法网上有很多,这里就不赘述了(其实只是不懂原理好吗= =)
代码:
#include <iostream>
#include <algorithm>
#include <stdio.h>
#define MAXNUM 0x7ffffff
using namespace std;
struct node
{
int begin;
int end;
int cost;
} edge[6000];
int n, m, w, count_;
int maxn[550];
bool bellman_ford()
{
bool flag;
int x, y, cost;
for (int i = 1; i <= n; i++) {
maxn[i] = MAXNUM;
}
maxn[1] = 1;
for (int i = 1; i <= n; i++) {
flag = true;
for (int j = 1; j <= count_; j++) {
x = edge[j].begin;
y = edge[j].end;
cost = edge[j].cost;
if (maxn[x] + cost < maxn[y]) {
maxn[y] = maxn[x] + cost;
flag = false;
}
}
if (flag)
break;
}
for (int i = 1; i <= count_; i++) {
x = edge[i].begin;
y = edge[i].end;
cost = edge[i].cost;
if (maxn[y] > maxn[x] + cost)
return true;
}
return false;
}
int main()
{
int t;
int x, y, cost;
scanf("%d", &t);
while (t--) {
count_ = 0;
scanf("%d%d%d", &n, &m, &w);
for (int i = 1; i <= m; i++) {
scanf("%d%d%d", &x, &y, &cost);
edge[++count_].begin = x;
edge[count_].end = y;
edge[count_].cost = cost;
edge[++count_].begin = y;
edge[count_].end = x;
edge[count_].cost = cost;
}
for (int i = 1; i <= w; i++) {
scanf("%d%d%d", &x, &y, &cost);
edge[++count_].begin = x;
edge[count_].end = y;
edge[count_].cost = -cost;
}
// for (int i = 1; i <= count_; i++) {
// printf("begin:%d\tend:%d\tcost:%d\n", edge[i].begin, edge[i].end, edge[i].cost);
// }
if (bellman_ford()) {
printf("YES\n");
} else {
printf("NO\n");
}
}
return 0;
}