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  • 洛谷P3313 [SDOI2014]旅行(树链剖分 动态开节点线段树)

    题意

    题目链接

    Sol

    树链剖分板子 + 动态开节点线段树板子

    #include<bits/stdc++.h> 
    #define Pair pair<int, int>
    #define MP(x, y) make_pair(x, y)
    #define fi first
    #define se second
    //#define int long long 
    #define LL long long 
    #define Fin(x) {freopen(#x".in","r",stdin);}
    #define Fout(x) {freopen(#x".out","w",stdout);}
    using namespace std;
    const int MAXN = 1e6 + 10, mod = 1e9 + 7, INF = 1e9 + 10;
    const double eps = 1e-9;
    template <typename A, typename B> inline bool chmin(A &a, B b){if(a > b) {a = b; return 1;} return 0;}
    template <typename A, typename B> inline bool chmax(A &a, B b){if(a < b) {a = b; return 1;} return 0;}
    template <typename A, typename B> inline LL add(A x, B y) {if(x + y < 0) return x + y + mod; return x + y >= mod ? x + y - mod : x + y;}
    template <typename A, typename B> inline void add2(A &x, B y) {if(x + y < 0) x = x + y + mod; else x = (x + y >= mod ? x + y - mod : x + y);}
    template <typename A, typename B> inline LL mul(A x, B y) {return 1ll * x * y % mod;}
    template <typename A, typename B> inline void mul2(A &x, B y) {x = (1ll * x * y % mod + mod) % mod;}
    template <typename A> inline void debug(A a){cout << a << '
    ';}
    template <typename A> inline LL sqr(A x){return 1ll * x * x;}
    inline int read() {
        char c = getchar(); int x = 0, f = 1;
        while(c < '0' || c > '9') {if(c == '-') f = -1; c = getchar();}
        while(c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar();
        return x * f;
    }
    int ch(int x, int l, int r) {
    	return x >= l && x <= r;
    }
    int N, Q, C[MAXN], W[MAXN], dep[MAXN], fa[MAXN], son[MAXN], siz[MAXN], top[MAXN], id[MAXN], cnt;
    vector<int> v[MAXN];
    void dfs1(int x, int _fa) {
    	dep[x] = dep[_fa] + 1; siz[x] = 1; fa[x] = _fa; 
    	for(auto &to : v[x]) {
    		if(to == _fa) continue;
    		dfs1(to, x);
    		siz[x] += siz[to];
    		if(siz[to] > siz[son[x]]) son[x] = to;
    	}
    }
    void dfs2(int x, int topf) {
    	top[x] = topf; id[x] = ++cnt;
    	if(!son[x]) return ;
    	dfs2(son[x], topf);
    	for(auto &to : v[x]) {
    		if(top[to]) continue;
    		dfs2(to, to);
    	}
    }
    const int SS = (3e6 + 10);
    int root[MAXN], ls[SS], rs[SS], mx[SS], sum[SS], tot;
    void update(int k) {
    	mx[k] = max(mx[ls[k]], mx[rs[k]]);
    	sum[k] = sum[ls[k]] + sum[rs[k]];
    }
    void Modify(int &k, int l, int r, int p, int v) {
    	if(!k) k = ++tot;
    	if(l == r) {sum[k] = v, mx[k] = v; return ;}
    	int mid = l + r >> 1;
    	if(p <= mid) Modify(ls[k], l, mid, p, v);
    	if(p  > mid) Modify(rs[k], mid + 1, r, p, v);
    	update(k);
    }
    int Query(int k, int l, int r, int ql, int qr, int opt) {
    	if(ql <= l && r <= qr) return opt == 0 ? mx[k] : sum[k];
    	int mid = l + r >> 1;
    	if(ql > mid) return Query(rs[k], mid + 1, r, ql, qr, opt);
    	else if(qr <= mid) return Query(ls[k], l, mid, ql, qr, opt);
    	else return opt == 0 ? max(Query(ls[k], l, mid, ql, qr, opt), Query(rs[k], mid + 1, r, ql, qr, opt)) 
    						 : Query(ls[k], l, mid, ql, qr, opt) + Query(rs[k], mid + 1, r, ql, qr, opt);
    }
    int TreeMax(int x, int y) {
    	int ans = -INF, p = x;
    	while(top[x] != top[y]) {
    		if(dep[top[x]] < dep[top[y]]) swap(x, y);
    		chmax(ans, Query(root[C[p]], 1, N, id[top[x]], id[x], 0));
    		x = fa[top[x]];
    	}
    	if(dep[x] < dep[y]) swap(x, y);
    	chmax(ans, Query(root[C[p]], 1, N, id[y], id[x], 0));
    	return ans;
    }
    int TreeSum(int x, int y) {
    	int ans = 0, p = x;
    	while(top[x] != top[y]) {
    		if(dep[top[x]] < dep[top[y]]) swap(x, y);
    		ans += Query(root[C[p]], 1, N, id[top[x]], id[x], 1);
    		x = fa[top[x]];
    	}
    	if(dep[x] < dep[y]) swap(x, y);
    	ans += Query(root[C[p]], 1, N, id[y], id[x], 1);
    	return ans;
    }
    signed main() {
    	N = read(); Q = read();
    	for(int i = 1; i <= N; i++) W[i] = read(), C[i] = read();
    	for(int i = 1; i <= N - 1; i++) {
    		int x = read(), y = read();
    		v[x].push_back(y);
    		v[y].push_back(x);
    	}
    	dfs1(1, 0);
        dfs2(1, 1);
        for(int i = 1; i <= N; i++) 
    		Modify(root[C[i]], 1, N, id[i], W[i]);
        while(Q--) {
        	char s[4];
        	scanf("%s", s);
        	int x = read(), c = read();
    		if(s[0] == 'C' && s[1] == 'C') {
    			Modify(root[C[x]], 1, N, id[x], 0);
    			Modify(root[c], 1, N, id[x], W[x]);
    			C[x] = c;
    		}
    		if(s[0] == 'C' && s[1] == 'W') {
    			Modify(root[C[x]], 1, N, id[x], c);
    			W[x] = c;
    		}
    		if(s[0] == 'Q' && s[1] == 'M') {
    			printf("%d
    ", TreeMax(x, c));	
    		}
    		if(s[0] == 'Q' && s[1] == 'S') {
    			printf("%d
    ", TreeSum(x, c));
    		}
    	}
    	return 0;
    }
    /*
    5 6
    3 1
    2 3
    1 2
    3 3
    5 1
    1 2
    1 3
    3 4
    3 5
    QS 1 5
    CC 3 1
    QS 1 5
    CW 3 3
    QS 1 5
    QM 2 4
    */
    
    
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  • 原文地址:https://www.cnblogs.com/zwfymqz/p/10339077.html
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