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| #include <cstdio>
#include <algorithm>
using namespace std;
typedef long long LL;
const int N = 1e5 + 10, M = 2e5 + 10;
LL w[N];
int n, m, d[N], p[N], sz[N];
int idx, hd[N], nxt[M], edg[M];
int stmp, dfn[N], rnk[N], top[N], son[N];
struct Node
{
LL v;
int l, r;
} tr[N << 2];
void pushup(int x)
{
tr[x].v = tr[x << 1].v ^ tr[x << 1 | 1].v;
}
void build(int x, int l, int r)
{
tr[x].l = l, tr[x].r = r;
if (l == r)
{
tr[x].v = w[rnk[l]];
return;
}
int mid = l + r >> 1;
build(x << 1, l, mid);
build(x << 1 | 1, mid + 1, r);
pushup(x);
}
void modify(int x, int t, LL k)
{
if (tr[x].l == tr[x].r)
{
tr[x].v = k;
return;
}
int mid = tr[x].l + tr[x].r >> 1;
if (t <= mid)
modify(x << 1, t, k);
else
modify(x << 1 | 1, t, k);
pushup(x);
}
LL query(int x, int l, int r)
{
if (tr[x].l >= l && tr[x].r <= r)
return tr[x].v;
int mid = tr[x].l + tr[x].r >> 1;
LL res = 0;
if (l <= mid)
res ^= query(x << 1, l, r);
if (r > mid)
res ^= query(x << 1 | 1, l, r);
return res;
}
void dfs1(int x)
{
sz[x] = 1;
son[x] = -1;
for (int i = hd[x]; ~i; i = nxt[i])
if (!d[edg[i]])
{
d[edg[i]] = d[x] + 1;
p[edg[i]] = x;
dfs1(edg[i]);
sz[x] += sz[edg[i]];
if (son[x] == -1 || sz[edg[i]] > sz[son[x]])
son[x] = edg[i];
}
}
void dfs2(int x, int t)
{
dfn[x] = ++stmp;
rnk[stmp] = x;
top[x] = t;
if (son[x] == -1)
return;
dfs2(son[x], t);
for (int i = hd[x]; ~i; i = nxt[i])
if (edg[i] != p[x] && edg[i] != son[x])
dfs2(edg[i], edg[i]);
}
LL QueryPath(int x, int y)
{
LL res = 0;
while (top[x] != top[y])
{
if (d[top[x]] < d[top[y]])
swap(x, y);
res ^= query(1, dfn[top[x]], dfn[x]);
x = p[top[x]];
}
if (d[x] > d[y])
swap(x, y);
return res ^ query(1, dfn[x], dfn[y]);
}
void add(int a, int b)
{
nxt[++idx] = hd[a];
hd[a] = idx;
edg[idx] = b;
}
int main()
{
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; i++)
hd[i] = -1;
for (int i = 1; i <= n; i++)
scanf("%lld", &w[i]);
for (int i = 1, a, b; i < n; i++)
{
scanf("%d%d", &a, &b);
add(a, b);
add(b, a);
}
d[1] = 1;
dfs1(1);
dfs2(1, 1);
build(1, 1, n);
for (int op; m; m--)
{
scanf("%d", &op);
if (op == 1)
{
int a;
LL b;
scanf("%d%lld", &a, &b);
modify(1, dfn[a], b);
}
else if (op == 2)
{
int a, b;
scanf("%d%d", &a, &b);
printf("%lld\n", QueryPath(a, b));
}
}
return 0;
}
|