树链剖分+线段树
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#include <iostream> #include <cstring> #include <algorithm> #define ls(x) (x << 1) #define rs(x) (x << 1 | 1) using namespace std; typedef long long LL; const int N = 5e5 + 10, M = N << 1; int n, m, root, p; int h[N], e[M], ne[M], idx; int dfn[N], rnk[N], tot; int fa[N], son[N], siz[N], top[N], dep[N]; int w[N]; struct node { int l, r; LL v, add; } tr[N << 2]; void pushup(int u) { tr[u].v = (tr[ls(u)].v + tr[rs(u)].v) % p; } void pushdown(int u) { auto &rt = tr[u], &l = tr[ls(u)], &r = tr[rs(u)]; if (rt.add) { l.v = (l.v + rt.add * (l.r - l.l + 1) % p) % p; l.add = (l.add + rt.add) % p; r.v = (r.v + rt.add * (r.r - r.l + 1) % p) % p; r.add = (r.add + rt.add) % p; rt.add = 0; } } void build(int u, int l, int r) { if (l == r) tr[u] = {l, r, w[rnk[r]], 0}; else { tr[u] = {l, r}; int mid = l + r >> 1; build(ls(u), l, mid), build(rs(u), mid + 1, r); pushup(u); } } void modify(int u, int l, int r, int d) { if (tr[u].l >= l && tr[u].r <= r) { tr[u].v = (tr[u].v + (tr[u].r - tr[u].l + 1) * d % p) % p; tr[u].add = (tr[u].add + d) % p; } else { pushdown(u); int mid = tr[u].l + tr[u].r >> 1; if (l <= mid) modify(ls(u), l, r, d); if (r > mid) modify(rs(u), l, r, d); pushup(u); } } int query(int u, int l, int r) { if (tr[u].l >= l && tr[u].r <= r) return tr[u].v; pushdown(u); int mid = tr[u].l + tr[u].r >> 1; int res = 0; if (l <= mid) res = (res + query(ls(u), l, r)) % p; if (r > mid) res = (res + query(rs(u), l, r)) % p; return res; } void add(int a, int b) { e[idx] = b, ne[idx] = h[a], h[a] = idx ++; } void dfs1(int p, int depth, int father) { fa[p] = father; dep[p] = depth; siz[p] = 1; for (int i = h[p]; ~i; i = ne[i]) { int j = e[i]; if (j == father) continue; dfs1(j, depth + 1, p); if (siz[j] > siz[son[p]]) son[p] = j; siz[p] += siz[j]; } } void dfs2(int p, int tp) { top[p] = tp; dfn[p] = ++ tot; rnk[tot] = p; if (!son[p]) return; dfs2(son[p], tp); for (int i = h[p]; ~i; i = ne[i]) { int j = e[i]; if (j != fa[p] && j != son[p]) dfs2(j, j); } } int ask(int x, int y) { int res = 0; while (top[x] != top[y]) { if (dep[top[x]] < dep[top[y]]) swap(x, y); res = (res + query(1, dfn[top[x]], dfn[x])) % p; x = fa[top[x]]; } if (dep[x] > dep[y]) swap(x, y); res = (res + query(1, dfn[x], dfn[y])) % p; return res; } void change(int x, int y, int z) { while (top[x] != top[y]) { if (dep[top[x]] < dep[top[y]]) swap(x, y); modify(1, dfn[top[x]], dfn[x], z); x = fa[top[x]]; } if (dep[x] > dep[y]) swap(x, y); modify(1, dfn[x], dfn[y], z); } int main() { memset(h, -1, sizeof h); scanf("%d%d%d%d", &n, &m, &root, &p); for (int i = 1; i <= n; ++ i) scanf("%d", w + i); for (int i = 1; i < n; ++ i) { int a, b; scanf("%d%d", &a, &b); add(a, b), add(b, a); } dfs1(root, 1, root); dfs2(root, root); build(1, 1, n); while (m --) { int op, x, y, z; scanf("%d", &op); if (op == 1) { scanf("%d%d%d", &x, &y, &z); change(x, y, z); } else if (op == 2) { scanf("%d%d", &x, &y); printf("%d\n", ask(x, y)); } else if (op == 3) { scanf("%d%d", &x, &z); modify(1, dfn[x], dfn[x] + siz[x] - 1, z); } else { scanf("%d", &x); printf("%d\n", query(1, dfn[x], dfn[x] + siz[x] - 1)); } } } |
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