Blog of RuSun

\begin {array}{c} \mathfrak {One Problem Is Difficult} \\\\ \mathfrak {Because You Don't Know} \\\\ \mathfrak {Why It Is Diffucult} \end {array}

P2146 [NOI2015] 软件包管理器

P2146 [NOI2015] 软件包管理器

对于安装操作,需要安装所有的依赖项;对于卸载操作,需要卸载所有的被依赖项。在树上,安装即将 $x$ 至根节点都变为安装状态;卸载即将 $x$ 的子树都变为未安装状态。操作前,记录之前的情况,然后得到改变。

查看代码
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#include <iostream>
#include <cstdio>
#include <string>
#include <cmath>
using namespace std;
const int N = 1e5 + 10;
int n, q, p[N], d[N];
int idx, hd[N], nxt[N], edg[N];
int stmp, sz[N], son[N], top[N], rnk[N], dfn[N];
struct Node
{
int l, r, sum, mark;
}tr[N << 2];
void pushup (int x)
{
tr[x].sum = tr[x << 1].sum + tr[x << 1 | 1].sum;
}
void pushdown (int x)
{
tr[x << 1].sum = tr[x].mark * (tr[x << 1].r - tr[x << 1].l + 1);
tr[x << 1 | 1].sum = tr[x].mark * (tr[x << 1 | 1].r - tr[x << 1 | 1].l + 1);
tr[x << 1].mark = tr[x << 1 | 1].mark = tr[x].mark;
tr[x].mark = -1;
}
void build (int x, int l, int r)
{
tr[x].l = l;
tr[x].r = r;
if (l == r)
{
tr[x].sum = 0;
tr[x].mark = -1;
return;
}
int mid = l + r >> 1;
build(x << 1, l, mid);
build(x << 1 | 1, mid + 1, r);
pushup(x);
}
void modify (int x, int l, int r, int k)
{
if (tr[x].l >= l && tr[x].r <= r)
{
tr[x].mark = k;
tr[x].sum = (tr[x].r - tr[x].l + 1) * k;
return;
}
if (~tr[x].mark)
pushdown(x);
int mid = tr[x].l + tr[x].r >> 1;
if (l <= mid)
modify(x << 1, l, r, k);
if (r > mid)
modify(x << 1 | 1, l, r, k);
pushup(x);
}
int query(int x, int l, int r)
{
if (tr[x].l >= l && tr[x].r <= r)
return tr[x].sum;
if (~tr[x].mark)
pushdown(x);
int mid = tr[x].l + tr[x].r >> 1;
int res = 0;
if (l <= mid)
res += query(x << 1, l, r);
if (r > mid)
res += query(x << 1 | 1, l, r);
return res;
}
void AddPath (int x, int y)
{
while (top[x] != top[y])
{
if (d[top[x]] < d[top[y]])
swap(x, y);
modify(1, dfn[top[x]], dfn[x], 1);
x = p[top[x]];
}
if (d[x] > d[y])
swap(x, y);
modify(1, dfn[x], dfn[y], 1);
}
void dfs1 (int x)
{
son[x] = -1;
sz[x] = 1;
for (int i = hd[x]; ~i; i = nxt[i])
if (!d[edg[i]])
{
d[edg[i]] = d[x] + 1;
dfs1(edg[i]);
sz[x] += sz[edg[i]];
if (son[x] == -1 || sz[edg[i]] > sz[son[x]])
son[x] = edg[i];
}
}
void dfs2 (int x, int t)
{
top[x] = t;
dfn[x] = ++stmp;
rnk[stmp] = x;
if (son[x] == -1)
return;
dfs2(son[x], t);
for (int i = hd[x]; ~i; i = nxt[i])
if (edg[i] != son[x])
dfs2(edg[i], edg[i]);
}
void add (int a, int b)
{
nxt[++idx] = hd[a];
hd[a] = idx;
edg[idx] = b;
}
int main ()
{
cin >> n;
for (int i = 0; i < n; i++)
hd[i] = -1;
for (int i = 1; i < n; i++)
{
cin >> p[i];
add(p[i], i);
}
dfs1(0);
dfs2(0, 0);
build(1, 1, n);
cin >> q;
while (q--)
{
int x, t = tr[1].sum;
string s;
cin >> s >> x;
if (s[0] == 'i')
{
AddPath(0, x);
cout << abs(tr[1].sum - t) << endl;
}
else if (s[0] == 'u')
{
modify(1, dfn[x], dfn[x] + sz[x] - 1, 0);
cout << abs(tr[1].sum - t) << endl;
}
}
return 0;
}