Codeforces 722C. Destroying Array

C. Destroying Array
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given an array consisting of n non-negative integers a1, a2, ..., an.

You are going to destroy integers in the array one by one. Thus, you are given the permutation of integers from 1 to n defining the order elements of the array are destroyed.

After each element is destroyed you have to find out the segment of the array, such that it contains no destroyed elements and the sum of its elements is maximum possible. The sum of elements in the empty segment is considered to be 0.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the length of the array.

The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109).

The third line contains a permutation of integers from 1 to n — the order used to destroy elements.

Output

Print n lines. The i-th line should contain a single integer — the maximum possible sum of elements on the segment containing no destroyed elements, after first i operations are performed.

Examples
input
4
1 3 2 5
3 4 1 2
output
5
4
3
0
input
5
1 2 3 4 5
4 2 3 5 1
output
6
5
5
1
0
input
8
5 5 4 4 6 6 5 5
5 2 8 7 1 3 4 6
output
18
16
11
8
8
6
6
0
Note

Consider the first sample:

  1. Third element is destroyed. Array is now 1 3  *  5. Segment with maximum sum 5 consists of one integer 5.
  2. Fourth element is destroyed. Array is now 1 3  *   * . Segment with maximum sum 4 consists of two integers 1 3.
  3. First element is destroyed. Array is now  *  3  *   * . Segment with maximum sum 3 consists of one integer 3.
  4. Last element is destroyed. At this moment there are no valid nonempty segments left in this array, so the answer is equal to 0.

 

题目大意：给出一个长度为n的序列，每次删除一个（删除之后序列断开），求最大连续子段和。（序列中数为正整数）

 

  
 1 #include<iostream>
 2 #include<cstdio>
 3 #include<algorithm>
 4 #include<cstdlib>
 5 #include<algorithm>
 6 #include<vector>
 7 #include<cmath>
 8 #include<ctime>
 9 #include<cstring>
10 #define yyj(s) freopen(s".in","r",stdin),freopen(s".out","w",stdout);
11 #define llg long long
12 #define maxn 100010
13 #define md 50000
14 #define inf 0x7fffffff
15 using namespace std;
16 llg i,j,k,n,m,a[maxn],f1,f2,maxl,c[maxn],ans[maxn],dad[maxn],bj[maxn],x,val[maxn];
17 
18 llg find (llg x)
19 {
20     return dad[x]==x?x:dad[x]=find(dad[x]);
21 }
22 
23 int main()
24 {
25 //    yyj("c");
26     cin>>n;
27     for (i=1;i<=n;i++) scanf("%I64d",&a[i]),dad[i]=i;
28     for (i=1;i<=n;i++) scanf("%I64d",&c[i]);
29     for (i=n;i>=1;i--)
30     {
31         maxl=max(maxl,a[c[i]]);
32         bj[c[i]]=1; val[c[i]]+=a[c[i]];
33         x=c[i];
34         if (bj[x-1]!=0 && bj[x+1]!=0)
35         {
36             f1=find(x-1);
37             dad[find(x)]=f1;
38             f2=find(x+1);
39                 dad[f2]=f1;
40             val[f1]+=a[x]+val[x+1];
41             maxl=max(maxl,val[f1]);
42         }
43         else
44             if (bj[x-1]!=0)
45             {
46                 f1=find(x-1);
47                 dad[find(x)]=f1;
48                 val[f1]+=val[x];
49                 maxl=max(maxl,val[f1]);
50             }
51         else
52             if (bj[x+1]!=0)
53             {
54                 f2=find(x+1);
55                 dad[f2]=find(x);
56                 val[find(x)]+=val[f2];
57                 maxl=max(maxl,val[find(x)]);
58             }
59             else
60             {
61                 dad[x]=x;
62                 val[x]=a[x];
63                 maxl=max(maxl,a[x]);
64             }
65         ans[i]=maxl;
66     }
67     for (i=2;i<=n;i++) cout<<ans[i]<<endl;
68     cout<<0;
69     return 0;
70 }

 

posted @ 2016-10-02 14:59  №〓→龙光←  阅读(346)  评论(0)  编辑  收藏  举报