• 「vijos-bashu」lxhgww的奇思妙想(长链剖分)


    倍增离线,预处理出爹和孙子们。查询(O(1))

    #include <cstdio>
    #include <cstring>
    #include <numeric>
    #include <cmath>
    #include <algorithm>
    #include <iostream>
    #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 Swap(a,b) ((a) ^= (b) ^= (a) ^= (b))
    #define MP make_pair
    #ifdef QWQ
    #define FileOpen() freopen("in.txt", "r", stdin)
    #define FileSave() freopen("out.txt", "w", stdout)
    #define D_e_Line cerr << "
    --------
    "
    #define D_e(x) cerr << (#x) << " : " << x << endl
    #define C_e(x) cout << (#x) << " : " << x << endl
    #define Pause() system("pause")
    #define TIME() fprint(stderr, "TIME : %.3lfms
    ", (double)clock() / (double)CLOCKS_PER_SEC)
    #include <cassert>
    #else
    #define FileOpen()
    #define FileSave()
    #define D_e_Line
    #define D_e(x)
    #define C_e(x)
    #define Pause()
    #define TIME()
    #endif
    struct FastIO {
    	template<typename ATP> inline FastIO & operator >> (ATP & x)  {
    		x = 0; int f = 1; char c;
    		for(c = getchar(); c < '0' || c > '9'; c = getchar()) if(c == '-') f = -1;
    		while(c >= '0' && c <= '9') x = x * 10 + (c ^ '0'), c = getchar();
    		if(f == -1) x = -x;
    		return *this;
    	}
    } io;
    using namespace std;
    template<typename ATP> inline ATP Max(ATP x, ATP y) {
    	return x > y ? x : y;
    }
    template<typename ATP> inline ATP Min(ATP x, ATP y) {
    	return x < y ? x : y;
    }
    template<typename ATP> inline ATP Abs(ATP x) {
    	return x > 0 ? x : -x;
    }
    #include <vector>
    const int N = 3e5 + 7;
    vector<int> D[N], U[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 n;
    int f[N][21], dep[N], md[N], len[N], son[N], top[N];
    inline void DFS_First(int u, int father) {
    	f[u][0] = father, md[u] = dep[u] = dep[father] + 1;
    	R(i,1,19){
    		if(f[u][i - 1]) f[u][i] = f[f[u][i - 1]][i - 1];
    		else break;
    	}
    	for(register int i = head[u]; i; i = e[i].nxt){
    		int v = e[i].pre;
    		if(v == father) continue;
    		DFS_First(v, u);
    		if(md[v] > md[son[u]]) son[u] = v, md[u] = md[v];
    	}
    }
    void DFS_Second(int u, int Tp) {
    	top[u] = Tp, len[u] = md[u] - dep[Tp] + 1;
    	if(!son[u]) return;
    	DFS_Second(son[u], Tp);
    	for(register int i = head[u]; i; i = e[i].nxt){
    		int v = e[i].pre;
    		if(v != f[u][0] && v != son[u])
    			DFS_Second(v, v);
    	}
    }
    int H[N];
    inline void Init() {
    	int now = 0;
    	R(i,1,n){
    		if(!(i & (1 << now))) ++now;
    		H[i] = now;
    	}
    	R(i,1,n){
    		if(i == top[i]){
    			for(register int j = 1, u = i; j <= len[i] && u; ++j) u = f[u][0], U[i].push_back(u);
    			for(register int j = 1, u = i; j <= len[i] && u; ++j) u = son[u], D[i].push_back(u);
    		}
    	}
    }
    inline int Query(int u, int K) {
    	if(K > dep[u]) return 0;
    	if(!K) return u;
    	u = f[u][H[K]], K ^= (1 << H[K]);
    	if(!K) return u;
    	if(dep[u] - dep[top[u]] == K) return top[u];
    	if(dep[u] - dep[top[u]] < K) return U[top[u]][K - dep[u] + dep[top[u]] - 1];
    	return D[top[u]][dep[u] - dep[top[u]] - K - 1];
    }
    int main() {
    	io >> n;
    	R(i,2,n){
    		int u, v;
    		io >> u >> v;
    		add(u, v);
    		add(v, u);
    	}
    	DFS_First(1, 0);
    	DFS_Second(1, 1);
    	Init();
    	int lst = 0, Q;
    	io >> Q;
    	while(Q--){
    		int u, K;
    		io >> u >> K;
    		u ^= lst, K ^= lst;
    		printf("%d
    ", lst = Query(u, K));
    	}
    	return 0;
    }
    

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  • 原文地址:https://www.cnblogs.com/bingoyes/p/11823575.html
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