yysy,这题 连 都不要,为啥要开 啊,故意放暴力过???
这里是个非常弱智的做法:
随便钦定一个点为根之后,考虑将一条边的边权放在儿子节点上。
首先树剖,然后考虑修改 的点权,可以先只修改其重儿子以及其到父亲的边的边权。
然后考虑用带修主席树(树套树)维护一下区间内边权出现次数。
再然后,询问的时候跳重链,链顶都更新一下其到父亲的边权,然后更新一下带修主席树中存的东西,然后询问区间内出现次数。
然后,就是码板子的事情了。
/******************************************************************************** Code by a weak man who named CYJian, and he hopes the code can get more points. Algorithm: ********************************************************************************/ #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; //{{{ FAST IO AND SOME FUNCTIONS const int __SIZE = 1 << 18; char ibuf[__SIZE], *iS, *iT; #define ge (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, __SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++) #define ri read_int() #define rl read_ll() #define FILE(s) freopen(s"in", "r", stdin), freopen(s"out", "w", stdout) template<typename T> inline void read(T &x) { char ch, t = 0; x = 0; while(!isdigit(ch = ge)) t |= ch == '-'; while(isdigit(ch)) x = x * 10 + (ch ^ 48), ch = ge; x = t ? -x : x; } inline int read_int() { int x; return read(x), x; } inline ll read_ll() { ll x; return read(x), x; } template<typename T> inline void chkmin(T&a, T b) { a = a < b ? a : b; } template<typename T> inline void chkmax(T&a, T b) { a = a > b ? a : b; } //}}} const int inf = 1e9; const int mod = 998244353; const int MAXN = 20010; inline int Mod(int x) { return x >= mod ? x - mod : x; } inline void Add(int &x, int y) { x += y, x -= x >= mod ? mod : 0; } inline int fsp(int x, int k = mod - 2) { int s = 1; while(k) { if(k & 1) s = 1LL * s * x % mod; x = 1LL * x * x % mod, k >>= 1; } return s; } inline int gcd(int x, int y) { return !y ? x : gcd(y, x % y); } vector<int>to[MAXN]; int n, q, tim; int a[MAXN]; int v[MAXN]; int fa[MAXN]; int hs[MAXN]; int si[MAXN]; int dfn[MAXN]; int dep[MAXN]; int top[MAXN]; inline void dfs1(int x, int la) { si[x] = 1, fa[x] = la, dep[x] = la; for(auto u : to[x]) { if(u == la) continue; dfs1(u, x), si[x] += si[u]; if(si[hs[x]] < si[u]) hs[x] = u; } } inline void dfs2(int x, int la) { dfn[x] = ++tim; if(hs[x]) top[hs[x]] = top[x], dfs2(hs[x], x); for(auto u : to[x]) { if(u == la || u == hs[x]) continue; top[u] = u, dfs2(u, x); } } int rt[MAXN]; int A[20], ca; int B[20], cb; struct Segment_Tree { #define ls(x) T[x].l #define rs(x) T[x].r struct Node { int l, r, c; } T[40000000]; int ct; inline void Insert(int &x, int l, int r, int p, int v) { if(!x) x = ++ct; T[x].c += v; if(l == r) return ; int mid = (l + r) >> 1; p <= mid ? Insert(ls(x), l, mid, p, v) : Insert(rs(x), mid + 1, r, p, v); } inline int Query(int l, int r, int k) { if(l == r) { int ct = 0; for(int i = 0; i < ca; i++) ct -= T[A[i]].c; for(int i = 0; i < cb; i++) ct += T[B[i]].c; return ct; } int mid = (l + r) >> 1; if(k <= mid) { for(int i = 0; i < ca; i++) A[i] = ls(A[i]); for(int i = 0; i < cb; i++) B[i] = ls(B[i]); return Query(l, mid, k); } int ct = 0; for(int i = 0; i < ca; i++) ct -= T[ls(A[i])].c; for(int i = 0; i < cb; i++) ct += T[ls(B[i])].c; for(int i = 0; i < ca; i++) A[i] = rs(A[i]); for(int i = 0; i < cb; i++) B[i] = rs(B[i]); return Query(mid + 1, r, k) + ct; } #undef ls #undef rs }seg; inline void Insert(int p, int v, int k) { while(p <= n) seg.Insert(rt[p], 1, 1000000, v, k), p += p & -p; } inline int Sum(int l, int r, int k) { ca = 0, cb = 0, --l; while(l) A[ca++] = rt[l], l ^= l & -l; while(r) B[cb++] = rt[r], r ^= r & -r; return seg.Query(1, 1000000, k); } inline void Modify(int p, int x) { a[p] = x; if(hs[p]) { Insert(dfn[hs[p]], v[hs[p]], -1); v[hs[p]] = gcd(a[hs[p]], a[p]); Insert(dfn[hs[p]], v[hs[p]], 1); } if(fa[p]) { Insert(dfn[p], v[p], -1); v[p] = gcd(a[p], a[fa[p]]); Insert(dfn[p], v[p], 1); } } inline int Query(int u, int v, int k) { int res = 0; while(top[u] != top[v]) { if(dep[top[u]] < dep[top[v]]) swap(u, v); int tu = top[u]; Insert(dfn[tu], ::v[tu], -1); ::v[tu] = gcd(a[tu], a[fa[tu]]); Insert(dfn[tu], ::v[tu], 1); res += Sum(dfn[tu], dfn[u], k); u = fa[tu]; } if(dep[u] > dep[v]) swap(u, v); if(u != v) res += Sum(dfn[u] + 1, dfn[v], k); return res; } int main() { #ifdef LOCAL FILE("a."); #endif n = ri, q = ri; for(int i = 1; i <= n; i++) a[i] = ri; for(int i = 1; i < n; i++) { int u = ri, v = ri; to[u].push_back(v); to[v].push_back(u); } dfs1(1, 0), dfs2(1, 0); for(int i = 2; i <= n; i++) v[i] = gcd(a[i], a[fa[i]]), Insert(dfn[i], v[i], 1); while(q--) { int op = ri, u = ri; if(op == 1) Modify(u, ri); else { int v = ri, k = ri; printf("%d\n", Query(u, v, k)); } } return 0; }