Blog of RuSun

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

P2042 [NOI2005] 维护数列

P2042 [NOI2005] 维护数列

毒瘤题,按照题意慢慢写就是了。这里需要空间回收,用一个队列维护可用空间。

查看代码
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#include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <climits>
#define inf INT_MAX / 2
using namespace std;
const int N = 5e5 + 10;
int n, m;
struct Node
{
int s[2], p, v;
int rev, same;
int sz, sum, ms, ls, rs;
void init(int a, int b)
{
s[0] = s[1] = 0;
sum = v = ms = ls = rs = a;
p = b;
rev = same = 0;
sz = 1;
}
} tr[N];
int rt, w[N];
queue<int> q;
void pushup(int x)
{
Node &u = tr[x], &l = tr[u.s[0]], &r = tr[u.s[1]];
u.sz = l.sz + r.sz + 1;
u.sum = l.sum + r.sum + u.v;
u.ls = max(l.ls, l.sum + u.v + r.ls);
u.rs = max(r.rs, r.sum + u.v + l.rs);
u.ms = max(max(l.ms, r.ms), l.rs + u.v + r.ls);
}
void pushdown(int x)
{
Node &u = tr[x], &l = tr[u.s[0]], &r = tr[u.s[1]];
if (u.same)
{
u.same = u.rev = 0;
l.same = r.same = 1;
l.v = r.v = u.v;
l.sum = l.v * l.sz;
r.sum = r.v * r.sz;
if (u.v > 0)
{
l.ms = l.ls = l.rs = l.sum;
r.ms = r.ls = r.rs = r.sum;
}
else
{
l.ms = l.v;
r.ms = r.v;
l.ls = l.rs = r.ls = r.rs = 0;
}
}
else if (u.rev)
{
u.rev = 0;
l.rev ^= 1;
r.rev ^= 1;
swap(l.ls, l.rs);
swap(r.ls, r.rs);
swap(l.s[0], l.s[1]);
swap(r.s[0], r.s[1]);
}
}
void rotate(int x)
{
int y = tr[x].p, z = tr[y].p;
int k = tr[y].s[1] == x;
tr[z].s[tr[z].s[1] == y] = x;
tr[x].p = z;
tr[y].s[k] = tr[x].s[k ^ 1];
tr[tr[x].s[k ^ 1]].p = y;
tr[x].s[k ^ 1] = y;
tr[y].p = x;
pushup(y);
pushup(x);
}
void splay(int x, int k)
{
while (tr[x].p != k)
{
int y = tr[x].p, z = tr[y].p;
if (z != k)
if ((tr[y].s[1] == x) ^ (tr[z].s[1] == y))
rotate(x);
else
rotate(y);
rotate(x);
}
if (!k)
rt = x;
}
int get_k(int k)
{
int u = rt;
while (u)
{
pushdown(u);
if (tr[tr[u].s[0]].sz >= k)
u = tr[u].s[0];
else if (tr[tr[u].s[0]].sz + 1 == k)
return u;
else
{
k -= tr[tr[u].s[0]].sz + 1;
u = tr[u].s[1];
}
}
}
int build(int l, int r, int p)
{
int mid = l + r >> 1;
int t = q.front();
q.pop();
tr[t].init(w[mid], p);
if (l < mid)
tr[t].s[0] = build(l, mid - 1, t);
if (mid < r)
tr[t].s[1] = build(mid + 1, r, t);
pushup(t);
return t;
}
void dfs(int x)
{
if (tr[x].s[0])
dfs(tr[x].s[0]);
if (tr[x].s[1])
dfs(tr[x].s[1]);
q.push(x);
}
int main()
{
for (int i = 1; i < N; i++)
q.push(i);
cin >> n >> m;
tr[0].ms = -inf;
w[0] = w[n + 1] = -inf;
for (int i = 1; i <= n; i++)
cin >> w[i];
rt = build(0, n + 1, 0);
char op[20];
while (m--)
{
cin >> op;
if (!strcmp(op, "INSERT"))
{
int pos, tot;
cin >> pos >> tot;
for (int i = 0; i < tot; i++)
cin >> w[i];
int l = get_k(pos + 1), r = get_k(pos + 2);
splay(l, 0);
splay(r, l);
tr[r].s[0] = build(0, tot - 1, r);
pushup(r);
pushup(l);
}
else if (!strcmp(op, "DELETE"))
{
int pos, tot;
cin >> pos >> tot;
int l = get_k(pos), r = get_k(pos + tot + 1);
splay(l, 0);
splay(r, l);
dfs(tr[r].s[0]);
tr[r].s[0] = 0;
pushup(r);
pushup(l);
}
else if (!strcmp(op, "MAKE-SAME"))
{
int pos, tot, c;
cin >> pos >> tot >> c;
int l = get_k(pos), r = get_k(pos + tot + 1);
splay(l, 0);
splay(r, l);
Node &son = tr[tr[r].s[0]];
son.same = 1;
son.v = c;
son.sum = c * son.sz;
if (c > 0)
son.ms = son.ls = son.rs = son.sum;
else
{
son.ms = c;
son.ls = son.rs = 0;
}
pushup(r);
pushup(l);
}
else if (!strcmp(op, "REVERSE"))
{
int pos, tot;
cin >> pos >> tot;
int l = get_k(pos), r = get_k(pos + tot + 1);
splay(l, 0);
splay(r, l);
Node &son = tr[tr[r].s[0]];
son.rev ^= 1;
swap(son.ls, son.rs);
swap(son.s[0], son.s[1]);
pushup(r);
pushup(l);
}
else if (!strcmp(op, "GET-SUM"))
{
int pos, tot;
cin >> pos >> tot;
int l = get_k(pos), r = get_k(pos + tot + 1);
splay(l, 0);
splay(r, l);
cout << tr[tr[r].s[0]].sum << endl;
}
else
cout << tr[rt].ms << endl;
}
return 0;
}