BZOJ3037 创世纪（基环树DP）

基环树DP，攻的当受的儿子，f表选，g表不选。并查集维护攻受关系。若有环则记录，DP受的后把它当祖宗，再DP攻的。

#include <cstdio>
#include <iostream>
#include <cstring>
#include <algorithm>
#include <cmath>
#define R(a,b,c) for(register int a = (b); (a) <= (c); ++(a))
#define nR(a,b,c) for(register int a = (b); (a) >= (c); --(a))
#define Fill(a,b) memset(a, b, sizeof(a))
#define Swap(a,b) ((a) ^= (b) ^= (a) ^= (b))
#define ll long long
#define u32 unsigned int
#define u64 unsigned long long

#define ON_DEBUGG

#ifdef ON_DEBUGG

#define D_e_Line printf("\n----------\n")
#define D_e(x) cout << (#x) << " : " << x << endl
#define Pause() system("pause")
#define FileOpen() freopen("in.txt", "r", stdin)
#define FileSave() freopen("out.txt", "w", stdout)
#include <ctime>
#define TIME() fprintf(stderr, "\ntime: %.3fms\n", clock() * 1000.0 / CLOCKS_PER_SEC);

#else

#define D_e_Line ;
#define D_e(x) ;
#define Pause() ;
#define FileOpen() ;
#define FileSave() ;
#define TIME() ;
//char buf[1 << 21], *p1 = buf, *p2 = buf;
//#define getchar() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 1 << 21, stdin), p1 == p2) ? EOF : *p1++)

#endif

using namespace std;
struct ios{
    template<typename ATP>inline ios& operator >> (ATP &x){
        x = 0; int f = 1; char ch;
        for(ch = getchar(); ch < '0' || ch > '9'; ch = getchar()) if(ch == '-') f = -1;
        while(ch >= '0' && ch <= '9') x = x * 10 + (ch ^ '0'), ch = getchar();
        x *= f;
        return *this;
    }
}io;

template<typename ATP>inline ATP Max(ATP a, ATP b){
    return a > b ? a : b;
}
template<typename ATP>inline ATP Min(ATP a, ATP b){
    return a < b ? a : b;
}
template<typename ATP>inline ATP Abs(ATP a){
    return a < 0 ? -a : a;
}

const int N = 1000007;

int n, totCircle;
int ans, root;
int f[N], g[N], A[N], B[N];
struct Edge{
	int nxt, pre;
}e[N << 1];
int head[N], cntEdge;
inline void add(int u, int v){
	e[++cntEdge] = (Edge){ head[u], v}, head[u] = cntEdge;
}
int fa[N];
inline int Find(int x){
	return fa[x] == x ? x : fa[x] = Find(fa[x]);
}
inline void DFS(int u){
	int t = 0x7fffffff;
	g[u] = 0;
	for(register int i = head[u]; i; i = e[i].nxt){
		int v = e[i].pre;
		if(v != root) DFS(v);
		g[u] += max(f[v], g[v]);
		t = min(t, max(f[v], g[v]) - g[v]);
	}
	f[u] = g[u] + 1 - t;
}
int main(){
//FileOpen();

    io >> n;
    R(i,1,n) fa[i] = i;
    R(i,1,n){
    	int j;
        io >> j;
        int p = Find(i), q = Find(j);
        if(p != q){
        	add(j, i);
        	fa[q] = p;
		}
		else{
			A[++totCircle] = j, B[totCircle] = i;
		}
    }
    R(i,1,totCircle){
    	DFS(A[i]), root = A[i];
    	DFS(B[i]);
    	int tmp = f[B[i]];
    	f[A[i]] = g[A[i]] + 1;
    	DFS(B[i]);
    	ans += Max(tmp, g[B[i]]);
	}

    printf("%d",ans);

    return 0;
}