原题链接
做了挺多强连通分量缩点题,结果模板还晾着。。
(tarjan)找强连通缩点,然后拓扑排序(DP)就好。
#include<cstdio>
using namespace std;
const int N = 1e4 + 10;
const int M = 1e5 + 10;
struct eg {
int x, y;
};
eg a[M];
int fi[N], di[M], ne[M], cfi[N], cdi[M], cne[M], dfn[N], low[N], sta[N], bl[N], po[N], S[N], ru[N], q[M], su[N], l, lc, tp, ti, SCC, ma;
bool v[N];
inline int re()
{
int x = 0;
char c = getchar();
bool p = 0;
for (; c < '0' || c > '9'; c = getchar())
p |= c == '-';
for (; c >= '0' && c <= '9'; c = getchar())
x = x * 10 + c - '0';
return p ? -x : x;
}
inline void add(int x, int y)
{
di[++l] = y;
ne[l] = fi[x];
fi[x] = l;
}
inline void add_c(int x, int y)
{
cdi[++lc] = y;
cne[lc] = cfi[x];
cfi[x] = lc;
}
inline int minn(int x, int y)
{
return x < y ? x : y;
}
inline int maxn(int x, int y)
{
return x > y ? x : y;
}
void tarjan(int x)
{
int i, y;
dfn[x] = low[x] = ++ti;
sta[++tp] = x;
v[x] = 1;
for (i = fi[x]; i; i = ne[i])
if (!dfn[y = di[i]])
{
tarjan(y);
low[x] = minn(low[x], low[y]);
}
else
if (v[y])
low[x] = minn(low[x], dfn[y]);
if (!(dfn[x] ^ low[x]))
{
SCC++;
do
{
y = sta[tp--];
bl[y] = SCC;
v[y] = 0;
S[SCC] += po[y];
} while (x ^ y);
ma = maxn(ma, S[SCC]);
}
}
void topsort()
{
int i, x, y, head = 0, tail = 0;
for (i = 1; i <= SCC; i++)
if (!ru[i])
{
q[++tail] = i;
su[i] = S[i];
}
while (head ^ tail)
{
x = q[++head];
for (i = cfi[x]; i; i = cne[i])
{
ru[y = cdi[i]]--;
if (!ru[y])
q[++tail] = y;
su[y] = maxn(su[y], su[x] + S[y]);
ma = maxn(ma, su[y]);
}
}
}
int main()
{
int i, n, m, x, y;
n = re();
m = re();
for (i = 1; i <= n; i++)
po[i] = re();
for (i = 1; i <= m; i++)
{
a[i].x = re();
a[i].y = re();
add(a[i].x, a[i].y);
}
for (i = 1; i <= n; i++)
if (!dfn[i])
tarjan(i);
for (i = 1; i <= m; i++)
{
x = bl[a[i].x];
y = bl[a[i].y];
if (x ^ y)
{
add_c(x, y);
ru[y]++;
}
}
topsort();
printf("%d", ma);
return 0;
}