题目链接
一份完整的解题代码
这是第二次来做这道题,关于Splay与其他数据结构又更好的联系起来了,更加的注意那些在细节上的处理,在pushdown()与pushup()上的处理尤其重要。
这次写的更加清晰了。
#include <iostream>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <algorithm>
#include <limits>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
#define lowbit(x) ( x&(-x) )
#define pi 3.141592653589793
#define e 2.718281828459045
#define INF 0x3f3f3f3f
#define HalF (l + r)>>1
#define lsn rt<<1
#define rsn rt<<1|1
#define Lson lsn, l, mid
#define Rson rsn, mid+1, r
#define QL Lson, ql, qr
#define QR Rson, ql, qr
#define myself rt, l, r
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
const int maxN = 1e5 + 7;
int N, M, root, tot;
struct node
{
int ff, val, ch[2], lazy, add, size, minn;
node() { ff = val = ch[0] = ch[1] = lazy = add = size = 0; minn = INF; }
void init(int fa, int _val) { ff = fa; val = minn = _val; ch[0] = ch[1] = lazy = add = 0; size = 1; }
}t[maxN<<1];
void pushup(int rt)
{
if(!rt) return;
t[rt].size = t[t[rt].ch[0]].size + t[t[rt].ch[1]].size + 1;
t[rt].minn = t[rt].val;
if(t[rt].ch[0]) t[rt].minn = min(t[rt].minn, t[t[rt].ch[0]].minn);
if(t[rt].ch[1]) t[rt].minn = min(t[rt].minn, t[t[rt].ch[1]].minn);
}
void pushdown(int rt)
{
if(!rt) return;
if(t[rt].add)
{
if(t[rt].ch[0])
{
t[t[rt].ch[0]].add += t[rt].add;
t[t[rt].ch[0]].val += t[rt].add;
t[t[rt].ch[0]].minn += t[rt].add;
}
if(t[rt].ch[1])
{
t[t[rt].ch[1]].add += t[rt].add;
t[t[rt].ch[1]].val += t[rt].add;
t[t[rt].ch[1]].minn += t[rt].add;
}
t[rt].add = 0;
}
if(t[rt].lazy)
{
t[rt].lazy ^= 1;
swap(t[rt].ch[0], t[rt].ch[1]);
if(t[rt].ch[0]) t[t[rt].ch[0]].lazy ^= 1;
if(t[rt].ch[1]) t[t[rt].ch[1]].lazy ^= 1;
}
}
void Rotate(int x)
{
int y = t[x].ff, z = t[y].ff;
pushdown(y); pushdown(x);
int k = t[y].ch[1] == x;
t[z].ch[t[z].ch[1] == y] = x;
t[x].ff = z;
t[y].ch[k] = t[x].ch[k^1];
t[t[x].ch[k^1]].ff = y;
t[x].ch[k^1] = y;
t[y].ff = x;
pushup(y); pushup(x);
}
void Splay(int x, int goal)
{
while(t[x].ff != goal)
{
int y = t[x].ff, z = t[y].ff;
pushdown(z); pushdown(y); pushdown(x);
if(z != goal) (t[z].ch[0] == y) ^ (t[y].ch[0] == x) ? Rotate(x) : Rotate(y);
Rotate(x);
}
if(!goal) root = x;
}
void insert(int x)
{
int u = ++tot;
t[root].ch[1] = u;
t[u].init(root, x);
Splay(u, 0);
}
int Kth(int x)
{
int u = root;
while(true)
{
pushdown(u);
int y = t[u].ch[0];
if(t[y].size + 1 < x)
{
x -= t[y].size + 1;
u = t[u].ch[1];
}
else
{
if(t[y].size >= x) u = y;
else return u;
}
}
}
inline void ADD(int l, int r, int val)
{
l = Kth(l - 1); r = Kth(r + 1);
Splay(l, 0); Splay(r, l);
int tmp = t[r].ch[0];
t[tmp].add += val;
t[tmp].val += val;
t[tmp].minn += val;
}
inline void INSERT(int x, int P)
{
int l = Kth(x), r = Kth(x + 1);
Splay(l, 0); Splay(r, l);
t[r].ch[0] = ++tot;
t[tot].init(r, P);
pushup(r); pushup(l);
}
inline void DELETE(int x)
{
int l = Kth(x - 1), r = Kth(x + 1);
Splay(l, 0); Splay(r, l);
t[r].ch[0] = 0;
pushup(r); pushup(l);
}
inline int MIN(int l, int r)
{
l = Kth(l - 1); r = Kth(r + 1);
Splay(l, 0); Splay(r, l);
int tmp = t[r].ch[0];
return t[tmp].minn;
}
inline void REVERSE(int l, int r)
{
l = Kth(l - 1); r = Kth(r + 1);
Splay(l, 0); Splay(r, l);
int tmp = t[r].ch[0];
t[tmp].lazy ^= 1;
}
inline void REVOLVE(int l1, int r1, int l2, int r2)
{
int x = Kth(l2 - 1), y = Kth(r2 + 1);
Splay(x, 0); Splay(y, x);
int tmp = t[y].ch[0];
t[y].ch[0] = 0;
x = Kth(l1 - 1); y = Kth(l1);
Splay(x, 0); Splay(y, x);
t[y].ch[0] = tmp;
t[tmp].ff = y;
pushup(y); pushup(x);
}
inline void init()
{
root = tot = 0;
memset(t, 0, sizeof(t));
insert(INF);
}
char op[10];
int main()
{
while(scanf("%d", &N)!=EOF)
{
init();
for(int i=1, val; i<=N; i++)
{
scanf("%d", &val);
insert(val);
} insert(INF);
scanf("%d", &M);
int l, r, T;
while(M--)
{
scanf("%s", op);
if(op[0] == 'A') //ADD x y D
{
scanf("%d%d%d", &l, &r, &T);
ADD(l + 1, r + 1, T);
}
else if(op[0] == 'I') //INSERT x P
{
scanf("%d%d", &l, &r);
INSERT(l + 1, r);
}
else if(op[0] == 'D') //DELETE x
{
scanf("%d", &l);
DELETE(l + 1);
}
else if(op[0] == 'M') //MIN x y
{
scanf("%d%d", &l, &r);
printf("%d\n", MIN(l + 1, r + 1));
}
else if(op[3] == 'E') //REVERSE x y
{
scanf("%d%d", &l, &r);
REVERSE(l + 1, r + 1);
}
else //REVOLVE x y T
{
scanf("%d%d%d", &l, &r, &T);
T = T % (r - l + 1);
if(T) REVOLVE(l + 1, r- T + 1, r - T + 2, r + 1);
}
}
}
return 0;
}
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