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  • 【luogu P3384 树链剖分】 模板

    题目链接:https://www.luogu.org/problemnew/show/P3384
    诶又给自己留了个坑..不想写线段树一大理由之前的模板变量名太长

    #include <cstdio>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    #define lson left, mid, rt<<1
    #define rson mid + 1, right, rt<<1|1
    #define ll long long
    using namespace std;
    const int maxn = 200000 + 10;
    ll n, m, root, mod;
    ll node[maxn], num; 
    ll fa[maxn], dep[maxn], size[maxn], son[maxn], top[maxn], seg[maxn], rev[maxn];
    ll res;
    struct edge{
    	ll from, to, next;	
    }e[maxn<<2];
    ll head[maxn], cnt;
    //-------------------------------------------------------
    ll tree[maxn<<2], lazy[maxn<<2];
    void PushUP(ll rt)
    {
    	tree[rt] = (tree[rt<<1] + tree[rt<<1|1])%mod;
    }
    void build(ll left, ll right, ll rt)
    {
    	if(left == right)
    	{
    		tree[rt] = rev[left];
    		tree[rt] = tree[rt]%mod;
    		return;
    	}
    	ll mid = (left + right) >> 1;
    	build(lson);
    	build(rson);
    	PushUP(rt);
    }
    void PushDOWN(ll left, ll right, ll rt, ll mid)
    {
    	lazy[rt<<1] += lazy[rt]; 
    	lazy[rt<<1|1] += lazy[rt];
    	tree[rt<<1] += ((mid - left + 1)*lazy[rt])%mod;
    	tree[rt<<1|1] += ((right - mid)*lazy[rt])%mod;
    	lazy[rt] = 0;
    }
    ll query(ll l, ll r, ll left, ll right, ll rt)
    {
    	ll res = 0;
    	if(l <= left && r >= right)
    	{
    		return tree[rt]%mod;
    	}
    	ll mid = (left + right)>>1;
    	if(lazy[rt]) PushDOWN(left, right, rt, mid);
    	if(l <= mid) res += query(l, r, lson);
    	if(r > mid) res += query(l, r, rson);
    	return res;
    }
    void update(ll l, ll r, ll add, ll left, ll right, ll rt)
    {
    	if(l <= left && r >= right)
    	{
    		lazy[rt] += add;
    		tree[rt] += (right - left + 1)*add;
    		return;
    	}
    	ll mid = (left + right)>>1;
    	PushDOWN(left, right, rt, mid);
    	if(l <= mid) update(l, r, add, lson);
    	if(r > mid) update(l, r, add, rson);
    	PushUP(rt);
    }
    //------------------------------------------------
    void add(ll u, ll v)
    {
    	e[++cnt].from = u;
    	e[cnt].next = head[u];
    	e[cnt].to = v;
    	head[u] = cnt;
    }
    void dfs1(ll u, ll f, ll d)
    {
    	ll maxson = -1;
    	size[u] = 1;
    	fa[u] = f;
    	dep[u] = d;
    	for(ll i = head[u]; i != -1; i = e[i].next)
    	{
    		ll v = e[i].to;
    		if(v != f)
    		{
    			dfs1(v, u, d + 1);
    			size[u] += size[v];
    			if(size[v] > maxson) son[u] = v, maxson = size[v];
    		}
    	}
    }
    void dfs2(ll u, ll t)
    {
    	seg[u] = ++num;
    	rev[num] = node[u];
    	top[u] = t;
    	if(!son[u]) return;
    	dfs2(son[u], t);
    	for(ll i = head[u]; i != -1; i = e[i].next)
    	{
    		ll v = e[i].to;
    		if(fa[u] == v || son[u] == v) continue;
    		dfs2(v, v);
    	}
    }
    ll qRange(ll x, ll y)
    {
    	ll ans = 0;
    	while(top[x] != top[y])
    	{
    		if(dep[top[x]] < dep[top[y]]) swap(x, y);
    		res = 0;
    		res = query(seg[top[x]], seg[x], 1, n, 1);
    		ans = (ans + res)%mod;
    		x = fa[top[x]];
    	}
    	if(dep[x] > dep[y]) swap(x, y);
    	res = 0;
    	res = query(seg[x], seg[y], 1, n, 1);
    	ans = (ans + res)%mod;
    	return ans;
    }
    void updRange(ll x, ll y, ll k)
    {
    	k = k%mod;
    	while(top[x] != top[y])
    	{
    		if(dep[top[x]] < dep[top[y]]) swap(x, y);
    		update(seg[top[x]], seg[x], k, 1, n, 1);
    		x = fa[top[x]];
    	}
    	if(dep[x] > dep[y]) swap(x, y);
    	update(seg[x], seg[y], k, 1, n, 1);
    }
    ll qSon(ll x)
    {
    	res = 0;
    	res = query(seg[x], seg[x]+size[x]-1, 1, n, 1);
    	return res;
    }
    ll updSon(ll x, ll k)
    {
    	update(seg[x], seg[x]+size[x]-1, k, 1, n, 1);
    }
    int main()
    {
    	memset(head, -1, sizeof(head));
    	scanf("%lld%lld%lld%lld",&n,&m,&root,&mod);
    	for(ll i = 1; i <= n; i++)
    	scanf("%lld",&node[i]);
    	for(ll i = 1; i < n; i++)
    	{
    		ll u, v;
    		scanf("%lld%lld",&u,&v);
    		add(u, v), add(v, u);
    	}
    	dfs1(root, 0, 1);
    	dfs2(root, root);
    	build(1,n,1);
    	for(ll i = 1; i <= m; i++)
    	{
    		ll opt, x, y, z;
    		scanf("%lld",&opt);
    		if(opt == 1)
    		{
    			scanf("%lld%lld%lld",&x,&y,&z);
    			updRange(x, y, z);
    		}
    		if(opt == 2)
    		{
    			scanf("%lld%lld",&x,&y);
    			printf("%lld
    ",qRange(x, y)%mod);
    		}
    		if(opt == 3)
    		{
    			scanf("%lld%lld",&x,&y);
    			updSon(x, y);
    		}
    		if(opt == 4)
    		{
    			scanf("%lld",&x);
    			printf("%lld
    ",qSon(x)%mod);
    		}
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/MisakaAzusa/p/9409727.html
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