题目大意:
N个人去看世博会,但是这N个人的关系不同所以希望站的序列也有一定要求,给出X个约束:A和B必须最多离开C距离,再给出Y个约束:A和B必须至少离开C距离,现在问你有没有这样的序列满足,有的话,输出1-n的最大距离,如果没有输出-1,如果有但是1-n的距离可以任意远,输出-2
解题思路:
差分约束
代码:
#include <queue> #include <cstdio> #include <vector> #include <algorithm> using namespace std; typedef struct node{ int to, w; node(int a = 0, int b = 0){ to = a; w = b; } }Edge; const int maxn = 1000 + 5; const int INF = 0x3f3f3f3f; vector<Edge> vec[maxn]; int vis[maxn], dis[maxn], cnt[maxn]; int spfa(int n){ Edge v; int p, len; queue<int> q; while(!q.empty()) q.pop(); for(int i = 0; i <= n; ++i){ dis[i] = INF; vis[i] = 0; cnt[i] = 0; } q.push(n); cnt[n] = 1; vis[n] = 1; dis[n] = 0; while(!q.empty()){ p = q.front(); q.pop(); len = vec[p].size(); for(int i = 0; i < len; ++i){ v = vec[p][i]; if(dis[v.to] > dis[p] + v.w){ dis[v.to] = dis[p] + v.w; if(!vis[v.to]){ vis[v.to] = 1; cnt[v.to] += 1; if(cnt[v.to] >= n) return -1; q.push(v.to); } } } vis[p] = 0; } return dis[1] == INF ? -2 : dis[1]; } int main(){ int a, b, d, n, t, ml, md; scanf("%d", &t); while(t--){ scanf("%d%d%d", &n, &ml, &md); for(int i = 0; i <= n; ++i) vec[i].clear(); for(int i = 1; i < n; ++i){ vec[i].push_back(node(i+1, 0)); } for(int i = 0; i < ml; ++i){ scanf("%d%d%d", &a, &b, &d); vec[b].push_back(node(a, d)); } for(int i = 0; i < md; ++i){ scanf("%d%d%d", &a, &b, &d); vec[a].push_back(node(b, -d)); } printf("%d ", spfa(n)); } return 0; }