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#467911#1163. Another Tree Queries ProblemBINYUWA 135ms27436kbC++145.4kb2024-07-08 18:17:272024-07-08 18:17:27

Judging History

你现在查看的是最新测评结果

  • [2024-07-08 18:17:27]
  • 评测
  • 测评结果:WA
  • 用时:135ms
  • 内存:27436kb
  • [2024-07-08 18:17:27]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int N = 2e5;
#define ll long long
ll calc(ll st,ll len,ll k)
{
	return (2 * st + len * k - k) * len / 2;
}
struct Segment_Tree
{
	#define ls id << 1
	#define rs id << 1 | 1
	struct node
	{
		ll len,sum,siz,dep,ad1,ad2,ad3;
	}a[4 * N + 5];
	void pushdown(int id)
	{
		int ad1 = a[id].ad1,ad2 = a[id].ad2,ad3 = a[id].ad3;
		if(ad1)
		{
			a[ls].ad1 += ad1;
			a[ls].sum += ad1 * a[ls].len;
			a[rs].ad1 += ad1;
			a[rs].sum += ad1 * a[rs].len;
			a[id].ad1 = 0;
		}
		if(ad2)
		{
			a[ls].ad2 += ad2;
			a[ls].sum += calc(ad2,a[ls].len,ad2);
			a[rs].ad2 += ad2;
			a[rs].ad1 += a[ls].len * ad2;
			a[rs].sum += a[ls].len * ad2 * a[rs].len;
			a[rs].sum += calc(ad2 + a[ls].len * ad2,a[rs].len,ad2);
			a[id].ad2 = 0;
		}
		if(ad3)
		{
			a[ls].ad3 += ad3;
			a[ls].sum += ad3 * a[ls].siz;
			a[rs].ad3 += ad3;
			a[rs].sum += ad3 * a[rs].siz;
			a[id].ad3 = 0;
		}
	}
	void build(int id,int l,int r)
	{
		a[id].len = r - l + 1;
		if(l == r)return;
		int mid = l + r >> 1;
		build(ls,l,mid);build(rs,mid + 1,r);
	}
	void update(int id,int l,int r,int x,ll siz,ll dep)
	{
		if(l == r)
		{
			a[id].siz = siz;
			a[id].dep = dep;
			return;
		}
		int mid = l + r >> 1;
		if(x <= mid)update(ls,l,mid,x,siz,dep);
		else update(rs,mid + 1,r,x,siz,dep);
		a[id].siz = a[ls].siz + a[rs].siz;
		a[id].dep = a[ls].dep + a[rs].dep;
	}
	void add1(int id,int l,int r,int st,int en,ll v)
	{
		if(l >= st&&r <= en)
		{
			a[id].ad1 += v;
			a[id].sum += v * (r - l + 1);
			return;
		}
		int mid = l + r >> 1;pushdown(id);
		if(st <= mid)add1(ls,l,mid,st,en,v);
		if(en > mid)add1(rs,mid + 1,r,st,en,v);
		a[id].sum = a[ls].sum + a[rs].sum;
	}
	int add2(int id,int l,int r,int st,int en,ll v)
	{
		if(l >= st&&r <= en)
		{
			a[id].ad1 += v;
			a[id].ad2++;
			a[id].sum += calc(v,r - l + 1,1);
			return v + r - l + 1;
		}
		int mid = l + r >> 1;pushdown(id);
		if(en > mid)v = add2(rs,mid + 1,r,st,en,v);
		if(st <= mid)v = add2(ls,l,mid,st,en,v);
		a[id].sum = a[ls].sum + a[rs].sum;
		return v;
	}
	void add3(int id,int l,int r,int st,int en,ll v)
	{
		if(l >= st&&r <= en)
		{
			a[id].ad3 += v;
			a[id].sum += v * a[id].siz;
			return;
		}
		int mid = l + r >> 1;pushdown(id);
		if(st <= mid)add3(ls,l,mid,st,en,v);
		if(en > mid)add3(rs,mid + 1,r,st,en,v);
		a[id].sum = a[ls].sum + a[rs].sum; 
	}
	ll query(int id,int l,int r,int st,int en)
	{
		if(l >= st&&r <= en)return a[id].sum;
		int mid = l + r >> 1;pushdown(id);
		ll res = 0;
		if(st <= mid)res += query(ls,l,mid,st,en);
		if(en > mid)res += query(rs,mid + 1,r,st,en);
		return res;
	}
	int query_dep(int id,int l,int r,int st,int en)
	{
		if(l >= st&&r <= en)return a[id].dep;
		int mid = l + r >> 1;pushdown(id);
		ll res = 0;
		if(st <= mid)res += query_dep(ls,l,mid,st,en);
		if(en > mid)res += query_dep(rs,mid + 1,r,st,en);
		return res;
	}
	#undef ls
	#undef rs 
}st;
int n,q,u,v,op;
int siz[N + 5],son[N + 5],dep[N + 5],f[20][N + 5];
int dfn[N + 5],cntdfn,top[N + 5];
vector <int> e[N + 5];
ll sum1,sum2;
void dfs1(int u,int fa)
{
	siz[u] = 1;
	f[0][u] = fa;
	dep[u] = dep[fa] + 1;
	for(auto v : e[u])
	{
		if(v == fa)continue;
		dfs1(v,u);siz[u] += siz[v];
		if(siz[v] > siz[son[u]])
			son[u] = v;
	}
} 
void dfs2(int u,int t)
{
	top[u] = t;
	dfn[u] = ++cntdfn;
	if(son[u])dfs2(son[u],t);
	for(auto v : e[u])
		if(!dfn[v])dfs2(v,v);
}
int lca(int u,int v)
{
	if(dep[u] < dep[v])swap(u,v);
	for(int i = 18;~i;i--)
		if(dep[f[i][u]] >= dep[v])
			u = f[i][u];
	if(u == v)return u;
	for(int i = 18;~i;i--)
		if(f[i][u] != f[i][v])
			u = f[i][u],v = f[i][v];
	return f[0][u];
}
int jmp(int u,int d)
{
	for(int i = 18;~i;i--)
	{
		if(dep[f[i][u]] > d)
			u = f[i][u];
	}
		
	return u;
}
ll query(int u)
{
	ll res = 0;
	while(u)
		res += st.query(1,1,n,dfn[top[u]],dfn[u]),
		u = f[0][top[u]];
	return res;
}
void add1(int u,ll v)
{
	while(u)
		st.add1(1,1,n,dfn[top[u]],dfn[u],v),
		u = f[0][top[u]];
}
void add2(int u,int F)
{
	sum1 += dep[u] - dep[F] + 1;
	int now = 1;
	while(top[u] != top[F])
		sum2 += st.query_dep(1,1,n,dfn[top[u]],dfn[u]), 
		now = st.add2(1,1,n,dfn[top[u]],dfn[u],now),
		u = f[0][top[u]];
	sum2 += st.query_dep(1,1,n,dfn[F],dfn[u]);
	st.add2(1,1,n,dfn[F],dfn[u],now); 
}
void add3(int u,ll v)
{
	sum1 += v * siz[u];
	sum2 += v * st.query_dep(1,1,n,dfn[u],dfn[u] + siz[u] - 1);
	st.add3(1,1,n,dfn[u],dfn[u] + siz[u] - 1,v);
	add1(f[0][u],v * siz[u]);
}
int main()
{
	scanf("%d",&n);
	for(int i = 1;i < n;i++)
		scanf("%d %d",&u,&v),
		e[u].push_back(v),e[v].push_back(u);
	dfs1(1,0);dfs2(1,1);
	for(int i = 0;i < 18;i++)
		for(int j = 1;j <= n;j++)
			f[i + 1][j] = f[i][f[i][j]];
	st.build(1,1,n);
	for(int i = 1;i <= n;i++)
		st.update(1,1,n,dfn[i],siz[i],dep[i]);
	scanf("%d",&q);
	while(q--)
	{
		scanf("%d",&op);
		if(op == 1)
		{
			scanf("%d %d",&u,&v);
			if(u == v)add3(1,1);
			else if(lca(u,v) == v)
				add3(1,1),add3(jmp(u,dep[v]),-1);
			else add3(v,1);
		}
		else if(op == 2)
		{
			scanf("%d %d",&u,&v);
			int F = lca(u,v);
			sum2 += dep[F];sum1++;
			if(F != u)add2(u,jmp(u,dep[F]));
			if(F != v)add2(v,jmp(v,dep[F]));
			int cnt = dep[u] + dep[v] - 2 * dep[F] + 1;
			add1(F,cnt);
		}
		else
		{
			scanf("%d",&u);
			ll sum3 = query(u);
			cout<<sum1 * dep[u] + sum2 - 2 * sum3<<"\n";
		}
	}
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 27384kb

input:

5
4 2
2 5
1 5
1 3
5
2 2 4
3 4
2 1 5
2 5 5
3 2

output:

1
5

result:

ok 2 number(s): "1 5"

Test #2:

score: -100
Wrong Answer
time: 135ms
memory: 27436kb

input:

200
171 114
50 183
28 68
67 152
139 125
67 55
50 98
106 71
46 42
157 165
42 49
113 12
81 145
105 13
38 96
34 156
24 17
21 191
135 54
174 116
177 157
123 71
95 130
135 193
150 129
25 190
96 93
188 173
90 160
86 187
20 132
199 75
59 195
189 24
40 68
163 83
25 13
73 33
59 50
154 19
146 21
151 67
89 69
...

output:

826
908
815
1787
2288
1320
3038
2403
4773
3883
3991
3791
5717
4501
6410
7485
4562
7741
7395
9773
7467
6024
10934
6730
12943
14817
9349
9051
8437
10737
18180
21566
16055
17522
10705
14353
12045
18492
12368
16713
23046
20542
24732
19929
13934
21554
12991
19128
12941
24738
19322
29938
19874
33276
17511...

result:

wrong answer 3rd numbers differ - expected: '813', found: '815'