RT,看到这个题的时候口胡了一个直接spfa更新的做法, 思路是存当前的最小流量然后直接依题意更新,感觉是假的但是一遍AC,看题解好像没有思路一样的,求助一下做法正确性。
#include <bits/stdc++.h>
using namespace std;
const int N = 2010, INF = 1 << 30;
int h[N], e[N], ne[N], f[N], w[N], idx;
int d[N], vis[N];
int minf[N];
inline int read()
{
int x = 0, y = 1; char c = getchar();
while (c < '0' || c > '9') {if (c == '-') y = -1; c = getchar();}
while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar();
return x * y;
}
inline void add(int a, int b, int c, int d)
{
e[idx] = b;
f[idx] = c;
w[idx] = d;
ne[idx] = h[a];
h[a] = idx++;
}
inline void spfa()
{
memset(d, 0x3f, sizeof d);
d[1] = 0;
minf[1] = INF;
queue<int> q;
q.push(1);
while (q.size())
{
int u = q.front();
q.pop();
vis[u] = false;
for (int i = h[u]; ~i; i = ne[i])
{
int v = e[i];
if (minf[v] * 1.0 / d[v] < min(minf[u], f[i]) * 1.0 / (d[u] + w[i]))
{
minf[v] = min(minf[u], f[i]);
d[v] = d[u] + w[i];
if (!vis[v])
q.push(v), vis[v] = true;
}
}
}
}
int main()
{
memset(h, -1, sizeof h);
int n = read(), m = read();
for (int i = 1; i <= m; i++)
{
int a = read(), b = read(), c = read(), d = read();
add(a, b, d, c);
add(b, a, d, c);
}
spfa();
double k = 1000000 * (minf[n] * 1.0 / d[n]);
printf("%d\n", (int)k);
return 0;
}