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线段树平方和板子

發布時間:2023/12/4 编程问答 49 豆豆
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/*Author : lifehappy */ #pragma GCC optimize(2) #pragma GCC optimize(3) #include <bits/stdc++.h> #define mp make_pair #define pb push_back #define endl '\n' #define mid (l + r >> 1) #define lson rt << 1, l, mid #define rson rt << 1 | 1, mid + 1, r #define ls rt << 1 #define rs rt << 1 | 1using namespace std;typedef long long ll; typedef unsigned long long ull; typedef pair<int, int> pii;const double pi = acos(-1.0); const double eps = 1e-7; const int inf = 0x3f3f3f3f;inline ll read() {ll f = 1, x = 0;char c = getchar();while(c < '0' || c > '9') {if(c == '-') f = -1;c = getchar();}while(c >= '0' && c <= '9') {x = (x << 1) + (x << 3) + (c ^ 48);c = getchar();}return f * x; }void print(ll x) {if(x < 10) {putchar(x + 48);return ;}print(x / 10);putchar(x % 10 + 48); }const int N = 1e5 + 10, mod = 23333;ll res[N << 2], sum[N << 2], lazy[N << 2];//線段樹數組。 ll value[N]; int head[N], to[N << 1], nex[N << 1], cnt = 1; int n, m, dfn[N], sz[N], tot, st[N];void add(int x, int y) {to[cnt] = y;nex[cnt] = head[x];head[x] = cnt++; }void dfs(int rt, int fa) {dfn[++tot] = rt;st[rt] = tot;sz[rt] = 1;for(int i = head[rt]; i; i = nex[i]) {if(to[i] == fa) continue;dfs(to[i], rt);sz[rt] += sz[to[i]];} }void push_up(int rt) {res[rt] = (res[ls] + res[rs]) % mod;sum[rt] = (sum[ls] + sum[rs]) % mod; }void build_tree(int rt, int l, int r) {if(l == r) {sum[rt] = value[dfn[l]] % mod;res[rt] = (sum[rt] * sum[rt]) % mod;return ;}build_tree(lson);build_tree(rson);push_up(rt); }void push_down(int rt, int l, int r) {if(lazy[rt]) {lazy[ls] += lazy[rt], lazy[rs] += lazy[rt];res[ls] = (res[ls] + (((lazy[rt] * lazy[rt]) % mod) * (mid - l + 1)) % mod + (2ll * sum[ls] * lazy[rt]) % mod) % mod;res[rs] = (res[rs] + (((lazy[rt] * lazy[rt]) % mod) * (r - mid)) % mod + (2ll * sum[rs] * lazy[rt]) % mod) % mod;sum[ls] = (sum[ls] + (mid - l + 1) * lazy[rt]) % mod;sum[rs] = (sum[rs] + (r - mid) * lazy[rt]) % mod;lazy[rt] = 0;} }void update(int rt, int l, int r, int L, int R, ll k) {if(l >= L && r <= R) {lazy[rt] += k;res[rt] = (res[rt] + (((k * k) % mod) * (r - l + 1)) % mod + (2ll * sum[rt] * k) % mod) % mod;sum[rt] = (sum[rt] + (r - l + 1) * k) % mod;return ;}push_down(rt, l, r);if(L <= mid) update(lson, L, R, k);if(R > mid) update(rson, L, R, k);push_up(rt); }ll query(int rt, int l, int r, int L, int R){if(l >= L && r <= R) return res[rt];push_down(rt, l, r);ll ans = 0;if(L <= mid) ans += query(lson, L, R);if(R > mid) ans += query(rson, L, R);return ans; }int main() {// freopen("in.txt", "r", stdin);// freopen("out.txt", "w", stdout);// ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);n = read(), m = read();for(int i = 1; i <= n; i++) value[i] = read();for(int i = 1; i < n; i++) {int x = read(), y = read();add(x, y);add(y, x);}dfs(1, 0);build_tree(1, 1, n);for(int i = 1; i <= m; i++) {int op = read();if(op == 1) {int x = read(), y = read();update(1, 1, n, st[x],st[x] + sz[x] - 1, y % mod);}else {int x = read();printf("%lld\n", query(1, 1, n, st[x],st[x] + sz[x] - 1) % mod);}}return 0; }

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