POJ 3580 SuperMemo (Splay)
阿新 • • 發佈：2017-10-03
pair debug ase get ins oid sta 一個數 blog
題意：給出一個數字序列，有6種操作：
ADD x y d： 第x個數到第y個數加d 。
REVERSE x y ： 將區間[x,y]中的數翻轉 。
REVOLVE x y t ：將區間[x,y]向右循環旋轉 t 次，如1 2 3 4 5 旋轉2次後就變成4 5 1 2 3 。
INSERT x p ：在第x個數後面插入p 。
DELETE x ：刪除第x個數 。
MIN x y ： 查詢區間[x,y]中的最小值 。
析：直接用伸展樹維護就好，註意在維護第三個操作時，如果 t < 0，直接忽略就好，再就是第三個操作可以看成是先剪切，再插入的操作，不要一個一個的，要直接直接剪切一段區間。
代碼如下：
#pragma comment(linker, "/STACK:1024000000,1024000000")
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <cstring>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#include <map>
#include <cctype>
#include <cmath>
#include <stack>
#include <sstream>
#include <list>
#include <assert.h>
#include <bitset>
#define debug() puts("++++");
#define gcd(a, b) __gcd(a, b)
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define fi first
#define se second
#define pb push_back
#define sqr(x) ((x)*(x))
#define ms(a,b) memset(a, b, sizeof a)
//#define sz size()
#define pu push_up
#define pd push_down
#define cl clear()
#define all 1,n,1
#define FOR(i,x,n) for(int i = (x); i < (n); ++i)
#define freopenr freopen("in.txt", "r", stdin)
#define freopenw freopen("out.txt", "w", stdout)
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const double inf = 1e20;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 2e5 + 1000;
const int maxm = 100 + 10;
const ULL mod = 10007;
const int dr[] = {-1, 0, 1, 0};
const int dc[] = {0, -1, 0, 1};
const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
int n, m;
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
inline bool is_in(int r, int c) {
return r >= 0 && r < n && c >= 0 && c < m;
}
#define Key_value ch[ch[root][1]][0]
int pre[maxn], ch[maxn][2], key[maxn], sz[maxn];
int root, tot1;
int minv[maxn], rev[maxn], addv[maxn];
int s[maxn], tot2, a[maxn];
void NewNode(int &rt, int fa, int x){
if(tot2) rt = s[tot2--];
else rt = ++tot1;
pre[rt] = fa;
key[rt] = minv[rt] = x;
ch[rt][0] = ch[rt][1] = 0;
rev[rt] = addv[rt] = 0;
sz[rt] = 1;
}
void push_up(int rt){
int l = ch[rt][0], r = ch[rt][1];
sz[rt] = sz[l] + sz[r] + 1;
minv[rt] = min(minv[l], min(minv[r], key[rt]));
}
void update_rev(int rt){
if(!rt) return ;
swap(ch[rt][0], ch[rt][1]);
rev[rt] ^= 1;
}
void update_addv(int rt, int val){
if(!rt) return ;
key[rt] += val;
minv[rt] += val;
addv[rt] += val;
}
void push_down(int rt){
if(addv[rt]){
update_addv(ch[rt][0], addv[rt]);
update_addv(ch[rt][1], addv[rt]);
addv[rt] = 0;
}
if(rev[rt]){
update_rev(ch[rt][0]);
update_rev(ch[rt][1]);
rev[rt] = 0;
}
}
void Build(int &rt, int l, int r, int fa){
if(l > r) return ;
int m = l+r >> 1;
NewNode(rt, fa, a[m]);
Build(ch[rt][0], l, m-1, rt);
Build(ch[rt][1], m+1, r, rt);
push_up(rt);
}
void Init(){
tot1 = root = tot2 = 0;
ch[root][0] = ch[root][1] = sz[root] = pre[root] = 0;
addv[root] = rev[root] = key[root] = 0;
minv[root] = INF;
NewNode(root, 0, -1);
NewNode(ch[root][1], root, -1);
for(int i = 0; i < n; ++i) scanf("%d", a+i);
Build(Key_value, 0, n-1, ch[root][1]);
push_up(ch[root][1]);
push_up(root);
}
int Get_kth(int rt, int k){
push_down(rt);
int t = sz[ch[rt][0]] + 1;
if(t == k) return rt;
if(t > k) return Get_kth(ch[rt][0], k);
return Get_kth(ch[rt][1], k-t);
}
void Rotate(int x, int k){
int y = pre[x];
push_down(y);
push_down(x);
ch[y][!k] = ch[x][k];
pre[ch[x][k]] = y;
if(pre[y]) ch[pre[y]][ch[pre[y]][1]==y] = x;
pre[x] = pre[y];
ch[x][k] = y;
pre[y] = x;
push_up(y);
}
void Splay(int rt, int goal){
push_down(rt);
while(pre[rt] != goal){
if(pre[pre[rt]] == goal){
push_down(pre[rt]);
push_down(rt);
Rotate(rt, ch[pre[rt]][0] == rt);
continue;
}
push_down(pre[pre[rt]]);
push_down(pre[rt]);
push_down(rt);
int y = pre[rt];
int k = ch[pre[y]][0] == y;
if(ch[y][k] == rt){
Rotate(rt, !k);
Rotate(rt, k);
}
else{
Rotate(y, k);
Rotate(rt, k);
}
}
push_up(rt);
if(goal == 0) root = rt;
}
void Insert(int pos, int tot){
for(int i = 0; i < tot; ++i) scanf("%d", a+i);
Splay(Get_kth(root, pos+1), 0);
Splay(Get_kth(root, pos+2), root);
Build(Key_value, 0, tot-1, ch[root][1]);
push_up(ch[root][1]);
push_up(root);
}
void Erase(int rt){
if(!rt) return ;
s[++tot2] = rt;
Erase(ch[rt][0]);
Erase(ch[rt][1]);
}
void Delete(int pos, int tot){
Splay(Get_kth(root, pos), 0);
Splay(Get_kth(root, pos+tot+1), root);
Erase(Key_value);
pre[Key_value] = 0;
Key_value = 0;
push_up(ch[root][1]);
push_up(root);
}
void Reverse(int pos, int tot){
Splay(Get_kth(root, pos), 0);
Splay(Get_kth(root, pos+tot+1), root);
update_rev(Key_value);
push_up(ch[root][1]);
push_up(root);
}
int query(int pos, int tot){
Splay(Get_kth(root, pos), 0);
Splay(Get_kth(root, pos+tot+1), root);
return minv[Key_value];
}
void Make_addv(int pos, int tot, int c){
Splay(Get_kth(root, pos), 0);
Splay(Get_kth(root, pos+tot+1), root);
update_addv(Key_value, c);
push_up(ch[root][1]);
push_up(root);
}
void Revolve(int x, int y, int t){
int tot = y - x + 1;
if(t < 0) return ;
t = t % tot;
if(t == 0) return ;
int pos = y - t + 1;
Splay(Get_kth(root, pos), 0);
Splay(Get_kth(root, pos+1+t), root);
int newroot = Key_value;
Key_value = 0;
push_up(ch[root][1]);
push_up(root);
Splay(Get_kth(root, x), 0);
Splay(Get_kth(root, x+1), root);
Key_value = newroot;
pre[newroot] = ch[root][1];
push_up(ch[root][1]);
push_up(root);
}
int main(){
scanf("%d", &n);
ms(minv, INF);
Init();
scanf("%d", &m);
char op[10];
int x, y, t;
while(m--){
scanf("%s %d", op, &x);
if(op[0] == ‘A‘){
scanf("%d %d", &y, &t);
Make_addv(x, y - x + 1, t);
}
else if(op[0] == ‘D‘) Delete(x, 1);
else if(op[0] == ‘I‘) Insert(x, 1);
else if(op[0] == ‘M‘){
scanf("%d", &y);
printf("%d\n", query(x, y - x + 1));
}
else if(op[3] == ‘E‘){
scanf("%d", &y);
Reverse(x, y - x + 1);
}
else {
scanf("%d %d", &y, &t);
Revolve(x, y, t);
}
}
return 0;
}
POJ 3580 SuperMemo (Splay)