原题传送门
我又双叒叕来水博客啦!
又见树剖裸题,在dfs序上维护线段树,记录max值与sum值即可
Code:
#include <bits/stdc++.h>
#define maxn 200010
#define ls rt << 1
#define rs rt << 1 | 1
#define inf 2147483647
using namespace std;
struct Edge{
int to, next;
}edge[maxn << 1];
struct Seg{
int l, r, sum, m;
}seg[maxn << 2];
int head[maxn], num, size[maxn], son[maxn], fa[maxn], d[maxn], id[maxn], cnt, top[maxn], w[maxn], wt[maxn], n, m;
inline int read(){
int s = 0, w = 1;
char c = getchar();
for (; !isdigit(c); c = getchar()) if (c == '-') w = -1;
for (; isdigit(c); c = getchar()) s = (s << 1) + (s << 3) + (c ^ 48);
return s * w;
}
void add_edge(int x, int y){ edge[++num].to = y; edge[num].next = head[x]; head[x] = num; }
void dfs(int u){
size[u] = 1, son[u] = -1;
for (int i = head[u]; i; i = edge[i].next){
int v = edge[i].to;
if (v != fa[u]){
fa[v] = u, d[v] = d[u] + 1;
dfs(v);
size[u] += size[v];
if (son[u] == -1) son[u] = v; else
if (size[son[u]] < size[v]) son[u] = v;
}
}
}
void dfs(int u, int x){
id[u] = ++cnt, top[u] = x, wt[cnt] = w[u];
if (son[u] == -1) return;
dfs(son[u], x);
for (int i = head[u]; i; i = edge[i].next){
int v = edge[i].to;
if (v != fa[u] && v != son[u]) dfs(v, v);
}
}
void pushup(int rt){ seg[rt].m = max(seg[ls].m, seg[rs].m); seg[rt].sum = seg[ls].sum + seg[rs].sum; }
void build(int rt, int l, int r){
seg[rt].l = l, seg[rt].r = r;
if (l == r){
seg[rt].sum = seg[rt].m = wt[l];
return;
}
int mid = (l + r) >> 1;
build(ls, l, mid); build(rs, mid + 1, r);
pushup(rt);
}
void update(int rt, int x, int change){
if (seg[rt].l == seg[rt].r){
seg[rt].sum = seg[rt].m = change; return;
}
if (seg[ls].r >= x) update(ls, x, change); else update(rs, x, change);
pushup(rt);
}
int query_max(int rt, int l, int r){
if (seg[rt].l > r || seg[rt].r < l) return -inf;
if (seg[rt].l >= l && seg[rt].r <= r) return seg[rt].m;
return max(query_max(ls, l, r), query_max(rs, l, r));
}
int query_sum(int rt, int l, int r){
if (seg[rt].l > r || seg[rt].r < l) return 0;
if (seg[rt].l >= l && seg[rt].r <= r) return seg[rt].sum;
return query_sum(ls, l, r) + query_sum(rs, l ,r);
}
int Query_max(int u, int v){
int ans = -inf;
while (top[u] != top[v]){
if (d[top[u]] < d[top[v]]) swap(u, v);
ans = max(ans, query_max(1, id[top[u]], id[u]));
u = fa[top[u]];
}
if (d[u] < d[v]) swap(u, v);
return max(ans, query_max(1, id[v], id[u]));
}
int Query_sum(int u, int v){
int ans = 0;
while (top[u] != top[v]){
if (d[top[u]] < d[top[v]]) swap(u, v);
ans += query_sum(1, id[top[u]], id[u]);
u = fa[top[u]];
}
if (d[u] < d[v]) swap(u, v);
return ans + query_sum(1, id[v], id[u]);
}
int main(){
n = read();
for (int i = 1; i < n; ++i){
int x = read(), y = read();
add_edge(x, y); add_edge(y, x);
}
for (int i = 1; i <= n; ++i) w[i] = read();
dfs(1); dfs(1, 1); build(1, 1, n);
m = read();
while (m--){
char c = getchar();
for (; c != 'H' && c != 'M' && c != 'S'; c = getchar());
if (c == 'H'){
int x = read(), y = read();
update(1, id[x], y);
} else
if (c == 'M'){
int x = read(), y = read();
printf("%d\n", Query_max(x, y));
} else{
int x = read(), y = read();
printf("%d\n", Query_sum(x, y));
}
}
return 0;
}