Blog of RuSun

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

P2596 [ZJOI2006]书架

P2596 [ZJOI2006]书架

  • 将某元素置顶:将元素旋到根,然后将左子树合并到该元素的后继;
  • 将某元素置底:将元素旋到根,然后将右子树合并到该元素的前驱;
  • 将某元素提前/滞后 $1$ 位:直接与该元素的前驱/后继交换位置及信息。
查看代码
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
#include <cstdio>
#include <algorithm>
using namespace std;
const int N = 16e4 + 10;
int n, m, rt, A[N];
struct Node
{
int p, sz, s[2];
} tr[N];
void pushup(int x)
{
tr[x].sz = tr[tr[x].s[0]].sz + tr[tr[x].s[1]].sz + 1;
}
void rotate(int x)
{
int y = tr[x].p, z = tr[y].p;
int k = x == tr[y].s[1];
tr[z].s[y == tr[z].s[1]] = x;
tr[x].p = z;
tr[tr[x].s[k ^ 1]].p = y;
tr[y].s[k] = tr[x].s[k ^ 1];
tr[y].p = x;
tr[x].s[k ^ 1] = y;
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 ((y == tr[z].s[1]) ^ (x == tr[y].s[1]))
rotate(x);
else
rotate(y);
rotate(x);
}
if (!k)
rt = x;
}
int build(int l, int r)
{
if (l > r)
return 0;
int mid = l + r >> 1;
tr[A[mid]].sz = 1;
int t = build(l, mid - 1);
tr[t].p = A[mid];
tr[A[mid]].s[0] = t;
t = build(mid + 1, r);
tr[t].p = A[mid];
tr[A[mid]].s[1] = t;
pushup(A[mid]);
return A[mid];
}
int pre(int x)
{
splay(x, 0);
int u = tr[x].s[0];
if (!u)
return 0;
while (tr[u].s[1])
u = tr[u].s[1];
return u;
}
int nxt(int x)
{
splay(x, 0);
int u = tr[x].s[1];
if (!u)
return 0;
while (tr[u].s[0])
u = tr[u].s[0];
return u;
}
int get(int k)
{
int u = rt;
while (u)
{
if (tr[tr[u].s[0]].sz + 1 == k)
return u;
else if (tr[tr[u].s[0]].sz + 1 < k)
{
k -= tr[tr[u].s[0]].sz + 1;
u = tr[u].s[1];
}
else
u = tr[u].s[0];
}
return u;
}
int rnk(int x)
{
splay(x, 0);
return tr[tr[x].s[0]].sz + 1;
}
void print(int x)
{
if (tr[x].s[0])
print(tr[x].s[0]);
printf("%d ", x);
if (tr[x].s[1])
print(tr[x].s[1]);
}
int main()
{
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; i++)
scanf("%d", &A[i]);
rt = build(1, n);
for (char op[10]; m; m--)
{
scanf("%s", op);
if (op[0] == 'T')
{
int s;
scanf("%d", &s);
int u = nxt(s);
if (!u)
{
swap(tr[s].s[0], tr[s].s[1]);
continue;
}
tr[tr[s].s[0]].p = u;
tr[u].s[0] = tr[s].s[0];
tr[s].s[0] = 0;
splay(u, 0);
}
else if (op[0] == 'B')
{
int s;
scanf("%d", &s);
int u = pre(s);
if (!u)
{
swap(tr[s].s[0], tr[s].s[1]);
continue;
}
tr[tr[s].s[1]].p = u;
tr[u].s[1] = tr[s].s[1];
tr[s].s[1] = 0;
splay(u, 0);
}
else if (op[0] == 'I')
{
int s, t;
scanf("%d%d", &s, &t);
if (!t)
continue;
int u = t == 1 ? nxt(s) : pre(s);
splay(u, s);
int k = u == tr[s].s[1];
Node tmp = tr[u];
tr[u].s[k] = s;
tr[s].p = u;
tr[u].s[k ^ 1] = tr[s].s[k ^ 1];
tr[tr[s].s[k ^ 1]].p = u;
tr[u].p = 0;
rt = u;
tr[s].s[0] = tmp.s[0];
tr[tmp.s[0]].p = s;
tr[s].s[1] = tmp.s[1];
tr[tmp.s[1]].p = s;
pushup(s);
pushup(u);
}
else if (op[0] == 'A')
{
int s;
scanf("%d", &s);
printf("%d\n", rnk(s) - 1);
}
else if (op[0] == 'Q')
{
int s;
scanf("%d", &s);
printf("%d\n", get(s));
}
}
return 0;
}