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| #include "ybwhead/ios.h"
const int maxn = 2e5 + 10;
int a[maxn];
int n, m;
struct edge
{
int v, nxt;
} e[maxn << 1];
int tot, head[maxn];
void __ADD(int u, int v)
{
e[++tot].v = v;
e[tot].nxt = head[u];
head[u] = tot;
}
void add(int u, int v)
{
__ADD(u, v);
__ADD(v, u);
}
int stt[20][maxn], num;
int dep[maxn], id1[maxn];
int lg2[maxn];
void dfs1(int u, int fa)
{
dep[u] = dep[fa] + 1;
stt[0][++num] = u;
id1[u] = num;
for (int i = head[u]; i; i = e[i].nxt)
{
int v = e[i].v;
if (v == fa)
continue;
dfs1(v, u);
stt[0][++num] = u;
}
}
int lower(int x, int y)
{
return dep[x] < dep[y] ? x : y;
}
void getst()
{
for (int i = 2; i <= tot; i++)
lg2[i] = lg2[i >> 1] + 1;
for (int i = 1; (1 << i) <= tot; i++)
{
int w = (1 << i);
for (int j = 1; j + w - 1 <= tot; j++)
{
stt[i][j] = lower(stt[i - 1][j], stt[i - 1][j + w / 2]);
}
}
}
int LCA(int x, int y)
{
x = id1[x];
y = id1[y];
if (x > y)
swap(x, y);
int i = lg2[y - x + 1], w = (1 << i);
return lower(stt[i][x], stt[i][y - w + 1]);
}
int Dis(int x, int y)
{
return dep[x] + dep[y] - 2 * dep[LCA(x, y)];
}
int siz[maxn], maxs[maxn];
int dfa[maxn];
int vis[maxn];
int dsiz[maxn];
int dfs2(int u, int fa, int tots)
{
siz[u] = 1;
maxs[u] = 0;
int cen = 0;
for (int i = head[u]; i; i = e[i].nxt)
{
int v = e[i].v;
if (vis[v] || v == fa)
continue;
int vcen = dfs2(v, u, tots);
if (!cen || maxs[vcen] < maxs[cen])
cen = vcen;
siz[u] += siz[v];
maxs[u] = max(maxs[u], siz[v]);
}
maxs[u] = max(maxs[u], tots - siz[u]);
if (!cen || maxs[u] < maxs[cen])
cen = u;
return cen;
}
void divide(int cen, int tots)
{
vis[cen] = 1;
dsiz[cen] = tots;
for (int i = head[cen]; i; i = e[i].nxt)
{
int v = e[i].v;
if (vis[v])
continue;
int vsize = (siz[v] < siz[cen]) ? siz[v] : (tots - siz[cen]);
int vcen = dfs2(v, cen, vsize);
dfa[vcen] = cen;
divide(vcen, vsize);
}
}
struct node
{
int sum;
int ls, rs;
} x[(int)1e7];
int ncnt;
struct Seg
{
int rt;
void modify(int &pos, int l, int r, int d, int k)
{
if (!pos)
pos = ++ncnt;
x[pos].sum += k;
if (l == r)
return;
int mid = (l + r) >> 1;
if (d <= mid)
modify(x[pos].ls, l, mid, d, k);
else
modify(x[pos].rs, mid + 1, r, d, k);
}
int query(int pos, int l, int r, int nl, int nr)
{
if (!pos)
return 0;
if (l == nl && r == nr)
return x[pos].sum;
int mid = (l + r) >> 1;
if (nr <= mid)
{
return query(x[pos].ls, l, mid, nl, nr);
}
if (nl > mid)
{
return query(x[pos].rs, mid + 1, r, nl, nr);
}
return query(x[pos].ls, l, mid, nl, mid) + query(x[pos].rs, mid + 1, r, mid + 1, nr);
}
} T1[maxn], T2[maxn];
void modify(int idx, int val)
{
int now = idx;
while (now)
{
int fa = dfa[now];
T1[now].modify(T1[now].rt, 0, dsiz[now], Dis(now, idx), val);
// cout << idx << " " << now << " " << Dis(now, idx) << endl;
if (fa)
T2[now].modify(T2[now].rt, 0, dsiz[fa], Dis(fa, idx), val);
now = fa;
}
}
int query(int idx, int k)
{
int res = 0;
int now = idx, last = 0;
while (now)
{
int d = Dis(idx, now);
if (d > k)
{
last = now;
now = dfa[now];
continue;
}
res += T1[now].query(T1[now].rt, 0, dsiz[now], 0, k - d);
if (last)
res -= T2[last].query(T2[last].rt, 0, dsiz[now], 0, k - d);
last = now;
// cout << now << " " << T1[now].query(T1[now].rt, 0, dsiz[now], 0, k - d) << endl;
now = dfa[now];
}
return res;
}
void pre()
{
dfs1(1, 0);
getst();
int cen = dfs2(1, 0, n);
divide(cen, n);
// cout << LCA(2, 3) << endl;
for (int i = 1; i <= n; i++)
modify(i, a[i]);
}
int main()
{
yin >> n >> m;
for (int i = 1; i <= n; i++)
yin >> a[i];
for (int i = 1; i < n; i++)
{
int a, b, c;
yin >> a >> b;
add(a, b);
}
pre();
int ans = 0;
while (m--)
{
int opt, x, y;
yin >> opt >> x >> y;
x ^= ans;
y ^= ans;
if (opt == 0)
{
yout << (ans = query(x, y)) << endl;
}
else
{
modify(x, y - a[x]);
a[x] = y;
}
}
return 0;
}
|