原题地址;http://poj.org/problem?id=3249
题意:给出n个点,m条边,每个点都提供了相对的点权值,然后给出相连着的边,问最大利润值。
思路:在拓扑排序的时候同步更新dp数组就行了.
注意:顶点权值可以取负就行了.
#include <cmath>
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <queue>
#include <vector>
#include <stack>
#include <set>
#include <cctype>
#define eps 1e-8
#define INF 0x3f3f3f3f
#define MOD 1e9+7
#define PI acos(-1)
#define lson l,mid,rt<<1
#define rson mid+1,r,rt<<1|1
#define CLR(x,y) memset((x),y,sizeof(x))
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int maxn = 1e6 + 5;
int head[maxn], tot, n, m;
struct node {
int u, v, nxt;
} e[maxn * 10];
void add_edge(int u, int v) {
e[tot].u = u;
e[tot].v = v;
e[tot].nxt = head[u];
head[u] = tot++;
}
int arr[maxn];
int into[maxn], out[maxn];
int dp[maxn];
queue<int>q;
void toposort() {
for(int i = 1; i <= n; i++) {
if(into[i] == 0) {
dp[i] = arr[i];
q.push(i);
}
}
while(!q.empty()) {
int u = q.front();
q.pop();
for(int i = head[u]; ~i; i = e[i].nxt) {
int v = e[i].v;
if(into[v] == 0) continue;
dp[v] = max(dp[v], dp[u] + arr[v]);
into[v]--;
if(into[v] == 0) q.push(v);
}
}
}
int main() {
while(~scanf("%d%d", &n, &m)) {
tot = 0;
CLR(head, -1);
CLR(into, 0);
CLR(out, 0);
while(!q.empty()) q.pop();
for(int i = 1; i <= n; i++) scanf("%d", &arr[i]);
for(int i = 1; i <= m; i++) {
int u, v;
scanf("%d%d", &u, &v);
add_edge(u, v);
into[v]++;
out[u]++;
}
for(int i=1;i<=n;i++){
dp[i]=-INF;
}
toposort();
int ans = -INF;
for(int i = 1; i <= n; i++) {
if(out[i]==0)ans = max(ans, dp[i]);
}
printf("%d\n", ans);
}
return 0;
}