Orz lyq
我们可以把一支军队(u, v)拆分为两个(u, lca)和(v, lca)
考虑一个点x,什么时候军队对它有贡献,肯定是u或v在他的子树内,且lca在他的子树外
因为需要让至少k个军队能够完全覆盖,所以肯定是选深度第k小的
这个过程可以用dfs序+主席树来实现
拿(u, lca)来说,在dfn[u]对应的线段树中,dep[lca]处+1即可。
然后查第k大即可
/**/
#include<cstdio>
#include<vector>
using namespace std;
const int MAXN = 2 * 1e5 + 10;
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 N, M;
struct Node {
int siz;
}T[MAXN * 70];
int root[MAXN * 70], ls[MAXN * 70], rs[MAXN * 70];
int dep[MAXN], fa[MAXN], top[MAXN], siz[MAXN], son[MAXN], deep[MAXN], dfn[MAXN], cnt, tot, num, ID[MAXN];
vector<int> v[MAXN], Q[MAXN];//Q[i] dfs搴忎负i鐨勯渶瑕佸姞鍏ョ殑鍏冪礌
void dfs1(int x, int _fa) {
dfn[x] = ++cnt;
fa[x] = _fa; siz[x]= 1; deep[x] = deep[_fa] + 1;
for(int i = 0; i < (int)v[x].size(); i++) {
int to = v[x][i];
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;
if(!son[x]) return ;
dfs2(son[x], topf);
for(int i = 0; i < (int)v[x].size(); i++) {
int to = v[x][i];
if(top[to]) continue;
dfs2(to, to);
}
}
int LCA(int x, int y) {
while(top[x] != top[y]) {
if(deep[top[x]] < deep[top[y]]) swap(x, y);
x = fa[top[x]];
}
if(deep[x] > deep[y]) swap(x, y);
return x;
}
void Insert(int &k, int p, int l, int r, int pos) {
if(l > r) return ;
if(!k) k = ++tot, T[k].siz = T[p].siz + 1;
if(l == r) return ;
int mid = (l + r) >> 1;
if(pos <= mid) rs[k] = rs[p], Insert(ls[k], ls[p], l, mid, pos);
else ls[k] = ls[p], Insert(rs[k], rs[p], mid + 1, r, pos);
}
int Query(int rl, int rr, int k, int l, int r) {
if(T[rr].siz - T[rl].siz < k) return 0;
if(l == r) return k > (T[rr].siz - T[rl].siz) ? 0 : l;
int si = T[ls[rr]].siz - T[ls[rl]].siz;
int mid = (l + r) >> 1;
if(si >= k) return Query(ls[rl], ls[rr], k, l, mid);
else return Query(rs[rl], rs[rr], k - si, mid + 1, r);
}
int main() {
// freopen("a.in", "r", stdin);
// freopen("b.out", "w", stdout);
N = read(); M = 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 <= M; i++) {
int x = read(), y = read(), lca = LCA(x, y);
Q[dfn[x]].push_back(deep[lca]);
Q[dfn[y]].push_back(deep[lca]);
}
for(int i = 1; i <= N; i++) {
for(int j = 0; j < (int)Q[i].size(); j++) {
int x = Q[i][j];
++num;
Insert(root[num], root[num - 1], 1, N, x);
}
ID[i] = num;
}
int Q = read();
while(Q--) {
int u = read(), k = read();
int ans = Query(root[ID[dfn[u] - 1]], root[ID[dfn[u] + siz[u] - 1]], k, 1, N);
if(ans == 0 || (deep[u] - ans <= 0)) printf("0\n");
else printf("%d\n", deep[u] - ans);
}
return 0;
}
/**/