[CF620E]New Year Tree
题目大意:有一棵以$1$为根的有根树,有$n$个点,每个节点初始有颜色$c_i$。有两种操作:
$1 v c:$将以$v$为根的子树中所有点颜色更改为$c$
$2 v:$ 查询以$v$为根的子树中的节点有多少种不同的颜色
题解:只有$60$种颜色,可以考虑用一个$long\;long$把颜色状压,用$dfs$序把树上问题转化为线段问题就行了
卡点:各种该开$long\;long$开$int$
C++ Code:
#include <cstdio>
#define maxn 400010
using namespace std;
int head[maxn], cnt;
struct Edge {
int to, nxt;
} e[maxn << 1];
void add(int a, int b) {
e[++cnt] = (Edge) {b, head[a]}; head[a] = cnt;
}
int n, m, a;
long long w[maxn], W[maxn];
long long V[maxn << 2], cov[maxn << 2];
int dfn[maxn], dfn_o[maxn], idx;
void dfs(int rt) {
dfn[rt] = ++idx;
for (int i = head[rt]; i; i = e[i].nxt) {
int v = e[i].to;
if (!dfn[v]) {
dfs(v);
}
}
dfn_o[rt] = idx;
}
void build(int rt, int l, int r) {
cov[rt] = -1;
if (l == r) {
V[rt] = w[l];
return ;
}
int mid = l + r >> 1;
build(rt << 1, l, mid);
build(rt << 1 | 1, mid + 1, r);
V[rt] = V[rt << 1] | V[rt << 1 | 1];
}
void pushdown(int rt) {
long long &tmp = cov[rt];
int lc = rt << 1, rc = rt << 1 | 1;
cov[rc] = cov[lc] = V[rc] = V[lc] = tmp;
tmp = -1;
}
void add(int rt, int l, int r, int L, int R, long long num) {
if (L <= l && R >= r) {
V[rt] = num;
cov[rt] = num;
return ;
}
if (~cov[rt]) pushdown(rt);
int mid = l + r >> 1;
if (L <= mid) add(rt << 1, l, mid, L, R, num);
if (R > mid) add(rt << 1 | 1, mid + 1, r, L, R, num);
V[rt] = V[rt << 1] | V[rt << 1 | 1];
}
long long ask(int rt, int l, int r, int L, int R) {
if (L <= l && R >= r) {
return V[rt];
}
if (~cov[rt]) pushdown(rt);
int mid = l + r >> 1;
long long ans = 0;
if (L <= mid) ans = ask(rt << 1, l, mid, L, R);
if (R > mid) ans = ans | ask(rt << 1 | 1, mid + 1, r, L, R);
return ans;
}
int count(long long num) {
int ans = 0;
while (num) {
ans += num & 1;
num >>= 1;
}
return ans;
}
int main() {
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; i++) {
scanf("%d", &a);
W[i] = 1ll << a - 1;
}
for (int i = 1; i < n; i++) {
int a, b;
scanf("%d%d", &a, &b);
add(a, b);
add(b, a);
}
dfs(1);
for (int i = 1; i <= n; i++) w[dfn[i]] = W[i];
build(1, 1, n);
while (m --> 0) {
int op, x, y;
scanf("%d%d", &op, &x);
if (op --> 1) {
long long tmp = ask(1, 1, n, dfn[x], dfn_o[x]);
printf("%d\n", count(tmp));
} else {
scanf("%d\n", &y);
add(1, 1, n, dfn[x], dfn_o[x], 1ll << y - 1);
}
}
return 0;
}

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