洛谷 P2868 [USACO07DEC]Sightseeing Cows G

传送门

AcWing 361 观光奶牛

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using p = pair<int, int>;
const double pi(acos(-1));
const int inf(0x3f3f3f3f);
const int mod(1e9 + 7);
const int maxn(1e3 + 10);
const int maxm(5e3 + 10);
bool vis[maxn];
int ecnt, f[maxn], head[maxn], cnt[maxn];
double dis[maxn];

struct edge {
    int to, wt, nxt;
} edges[maxm];

template<typename T = int>
inline const T read()
{
    T x = 0, f = 1;
    char ch = getchar();
    while (ch < '0' || ch > '9') {
        if (ch == '-') f = -1;
        ch = getchar();
    }
    while (ch >= '0' && ch <= '9') {
        x = (x << 3) + (x << 1) + ch - '0';
        ch = getchar();
    }
    return x * f;
}

template<typename T>
inline void write(T x, bool ln)
{
    if (x < 0) {
        putchar('-');
        x = -x;
    }
    if (x > 9) write(x / 10, false);
    putchar(x % 10 + '0');
    if (ln) putchar(10);
}

void addEdge(int u, int v, int w)
{
    edges[ecnt].to = v;
    edges[ecnt].wt = w;
    edges[ecnt].nxt = head[u];
    head[u] = ecnt++;
}

bool spfa(int tot, double val)
{
    queue<int> q;
    for (int i = 1; i <= tot; ++i) {
        q.push(i);
        vis[i] = true;
        dis[i] = 0;
        cnt[i] =  0;
    }
    while (not q.empty()) {
        int u = q.front();
        q.pop();
        vis[u] = false;
        for (int i = head[u]; compl i; i = edges[i].nxt) {
            int v = edges[i].to, w = edges[i].wt;
            if (dis[v] < dis[u] + f[v] - val * w) {
                dis[v] = dis[u] + f[v] - val * w;
                if (not vis[v]) {
                    vis[v] = true;
                    q.push(v);
                    cnt[v] = cnt[u] + 1;
                    if (cnt[v] >= tot) {
                        return true;
                    }
                }
            }
        }
    }
    return false;
}

int main()
{
#ifdef ONLINE_JUDGE
#else
    freopen("input.txt", "r", stdin);
#endif
    ios::sync_with_stdio(false);
    memset(head, -1, sizeof head);
    int n = read(), m = read();
    for (int i = 1; i <= n; ++i) {
        f[i] = read();
    }
    while (m--) {
        int u = read(), v = read(), w = read();
        addEdge(u, v, w);
    }
    double low = 0, high = 1e3;
    while (high - low >= 1e-4) {
        double mid = (low + high) / 2;
        if (spfa(n, mid)) {
            low = mid;
        } else {
            high = mid;
        }
    }
    printf("%.2lf\n", low);
    return 0;
}
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