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uva 11478 - Halum(BellmanFold)

2015-09-07 23:03 387 查看
题目链接:uva 11478 - Halum

#include <cstdio>
#include <cstring>
#include <vector>
#include <queue>
#include <algorithm>

using namespace std;
const int maxn = 505;
//const double eps = 1e-3;

struct BellmanFord {

struct Edge {
int u, v, d;
Edge(int u = 0, int v = 0, int d = 0):u(u), v(v), d(d) {}
};

int n, m;
vector<Edge> edges;
vector<int> G[maxn];
bool inq[maxn];
int d[maxn], p[maxn], c[maxn];

void init (int n) {
this->n = n;
edges.clear();
for (int i = 0; i < n; i++) G[i].clear();
}

void addEdge (int u, int v, int d) {
edges.push_back(Edge(u, v, d));
m = edges.size();
G[u].push_back(m-1);
}

bool negativeCycle() {
queue<int> que;
memset(c, 0, sizeof(c));
memset(inq, 0, sizeof(inq));

for (int i = 0; i < n; i++) {
d[i] = 0, inq[i] = true;
que.push(i);
}

while (!que.empty()) {
int u = que.front();
que.pop();
inq[u] = false;

for (int i = 0; i < G[u].size(); i++) {
Edge& e = edges[G[u][i]];
if (d[e.v] > d[u] + e.d) {
d[e.v] = d[u] + e.d;
p[e.v] = G[u][i];
if (!inq[e.v]) {
que.push(e.v);
inq[e.v] = true;
if (++c[e.v] > n) return true;
}
}
}
}
return false;
}
}solver;

int N, M, T;

void init () {
solver.init(N+1);
T = 0;

int u, v, d;
for (int i = 0; i < M; i++) {
scanf("%d%d%d", &u, &v, &d);
solver.addEdge(u, v, d);
T = max(T, d);
}
for (int i = 1; i <= N; i++)
solver.addEdge(0, i, 0);
}

bool judge(int x) {
for (int i = 0; i < solver.m; i++) solver.edges[i].d -= x;
bool ret = solver.negativeCycle();
for (int i = 0; i < solver.m; i++) solver.edges[i].d += x;
return !ret;
}

int main () {
while (scanf("%d%d", &N, &M) == 2) {
init();
if (!judge(1)) printf("No Solution\n");
else if (judge(T+1)) printf("Infinite\n");
else {
int l = 1, r = T+1;
while (l < r - 1) {
int mid = (l + r) >> 1;
if (judge(mid)) l = mid;
else r = mid;
}
printf("%d\n", l);
}
}
return 0;
}
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