hdoj 4666 Hyperspace 【最远曼哈顿距离】

Hyperspace

Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)

Total Submission(s): 1219    Accepted Submission(s): 580

Problem Description

The great Mr.Smith has invented a hyperspace particle generator. The device is very powerful. The device can generate a hyperspace. In the hyperspace, particle may appear and disappear randomly. At the same time a great amount of energy was generated.
However, the device is in test phase, often in a unstable state. Mr.Smith worried that it may cause an explosion while testing it. The energy of the device is related to the maximum manhattan distance among particle.
Particles may appear and disappear any time. Mr.Smith wants to know the maxmium manhattan distance among particles when particle appears or disappears.

 

Input

The input contains several test cases, terminated by EOF.
In each case: In the first line, there are two integer q(number of particle appear and disappear event, ≤60000) and k(dimensions of the hyperspace that the hyperspace the device generated, ≤5). Then follows q lines. In each line, the first integer ‘od’ represents the event: od = 0 means this is an appear
event. Then follows k integer(with absolute value less then 4 × 10 ⁷). od = 1 means this is an disappear event. Follows a integer p represents the disappeared particle appeared in the pth event.

 

Output

Each test case should contains q lines. Each line contains a integer represents the maximum manhattan distance among paticles.

 

Sample Input

   
   10 2
0 208 403
0 371 -180
1 2
0 1069 -192
0 418 -525
1 5
1 1
0 2754 635
0 -2491 961
0 2954 -2516
  
  

 

Sample Output

   
   0
746
0
1456
1456
1456
0
2512
5571
8922
  
  

 

题意：在m维空间，有n个操作，0 代表加入一个点，1 代表删去一个点。对每一个操作输出两点间最远的曼哈顿距离。

思路：用一个multiset插入和删除就可以了。C++ vector 插入删除太慢。

AC代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <vector>
#include <string>
#define INF (2000000000+10)
#define eps 1e-8
#define MAXN (60000+10)
#define MAXM (600000+10)
#define Ri(a) scanf("%d", &a)
#define Rl(a) scanf("%lld", &a)
#define Rf(a) scanf("%lf", &a)
#define Rs(a) scanf("%s", a)
#define Pi(a) printf("%d\n", (a))
#define Pf(a) printf("%.2lf\n", (a))
#define Pl(a) printf("%lld\n", (a))
#define Ps(a) printf("%s\n", (a))
#define W(a) while((a)--)
#define CLR(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define LL long long
#define lson o<<1, l, mid
#define rson o<<1|1, mid+1, r
#define ll o<<1
#define rr o<<1|1
#define PI acos(-1.0)
#pragma comment(linker, "/STACK:102400000,102400000")
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
int a[MAXN][5];
multiset<int> G[1<<5];
multiset<int> ::iterator it;
int main()
{
    int n, m;
    while(scanf("%d%d", &n, &m) != EOF)
    {
        for(int i = 0; i < (1<<m); i++) G[i].clear();
        for(int i = 1; i <= n; i++)
        {
            int op; Ri(op);
            if(op == 0)
            {
                for(int j = 0; j < m; j++) Ri(a[i][j]);
                for(int s = 0; s < (1<<m); s++)
                {
                    int temp = 0;
                    for(int j = 0; j < m; j++)
                    {
                        if(s & (1<<j)) temp += a[i][j];
                        else temp -= a[i][j];
                    }
                    G[s].insert(temp);
                }
            }
            else
            {
                int x; Ri(x);
                for(int s = 0; s < (1<<m); s++)
                {
                    int temp = 0;
                    for(int j = 0; j < m; j++)
                    {
                        if(s & (1<<j)) temp += a[x][j];
                        else temp -= a[x][j];
                    }
                    it = G[s].find(temp);
                    G[s].erase(it);
                }
            }
            int ans = 0;
            for(int s = 0; s < (1<<m); s++)
            {
                it = G[s].end(); it--;
                int Max = *it;
                it = G[s].begin();
                int Min = *it;
                ans = max(ans, Max - Min);
            }
            Pi(ans);
        }
    }
    return 0;
}