原题传送门
树剖裸题~~
查询两点路径异或和
不同之处是此题为边权,采用以点代边的方式,用一条边两端点中深度更大的那个点代表这条边
当然,这道题也可以用树上倍增做,非常水的一道题,不过树剖练手也是不错哒
Code:
#include <bits/stdc++.h>
#define maxn 100010
#define ls rt << 1
#define rs rt << 1 | 1
using namespace std;
struct Edge{
int to, next;
}edge[maxn << 1];
struct Line{
int x, y, z;
}line[maxn];
struct Seg{
int l, r, sum;
}seg[maxn << 2];
int head[maxn], num, d[maxn], fa[maxn], size[maxn], son[maxn];
int id[maxn], cnt, w[maxn], wt[maxn], top[maxn];
int n;
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] != -1 && 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].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 = wt[l]; return;
}
int mid = (l + r) >> 1;
build(ls, l, mid); build(rs, mid + 1, r);
pushup(rt);
}
int query(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(ls, l, r) ^ query(rs, l, r);
}
int main(){
n = read();
for (int i = 1; i < n; ++i){
int x = read(), y = read(), z = read();
add_edge(x, y); add_edge(y, x);
line[i].x = x, line[i].y = y, line[i].z = z;
}
dfs(1);
for (int i = 1; i < n; ++i) w[fa[line[i].x] == line[i].y ? line[i].x : line[i].y] = line[i].z;
dfs(1, 1);
build(1, 1, n);
int m = read();
while (m--){
int x = read(), y = read();
int ans = 0;
while (top[x] != top[y]){
if (d[top[x]] < d[top[y]]) swap(x, y);
ans ^= query(1, id[top[x]], id[x]);
x = fa[top[x]];
}
if (d[x] < d[y]) swap(x, y);
ans ^= query(1, id[y] + 1, id[x]);
printf("%d\n", ans);
}
return 0;
}