• hdu 5592 ZYB's Premutation (线段树+二分查找)


    链接: http://acm.hdu.edu.cn/showproblem.php?pid=5592

    Problem Description
    ZYB has a premutation P,but he only remeber the reverse log of each prefix of the premutation,now he ask you to  restore the premutation.
    Pair (i,j)(i<j) is considered as a reverse log if Ai>Aj is matched.
     
    Input
    In the first line there is the number of testcases T.
    For each teatcase:
    In the first line there is one number N.
    In the next line there are N numbers Ai,describe the number of the reverse logs of each prefix,
    The input is correct.
    1T5,1N50000
     
    Output
    For each testcase,print the ans.
     
    Sample Input
    1
    3
    0 1 2
     
    Sample Output
    3 1 2

       思路:对于每个位置i,a[i]-a[i-1]就是它前面比它大的数,这样就能知道它是从1到i中第几大的数了。从第n个位开始找,每找到一个数给它标记掉。在线段树中存没标记的数,用二分查找数的大小。

     1 #include<cstdio>
     2 #include<cstring>
     3 #include<algorithm>
     4 using namespace std;
     5 struct st
     6 {
     7     int l,r;
     8     int sum;
     9 };
    10 st tree[500005];
    11 void build(int l,int r,int p)
    12 {
    13     tree[p].l=l;
    14     tree[p].r=r;
    15     if (l==r)
    16     {
    17         tree[p].sum=1;
    18         return ;
    19     }
    20     int tem=(l+r)/2;
    21     build(l,tem,p*2);
    22     build(tem+1,r,p*2+1);
    23     tree[p].sum=tree[p*2].sum+tree[p*2+1].sum;
    24 }
    25 int find(int l,int r,int p)
    26 {
    27     if (tree[p].l>=l&&tree[p].r<=r) return tree[p].sum;
    28     int tem=(tree[p].l+tree[p].r)/2;
    29     if (l>tem) return find(l,r,p*2+1);
    30     else if (r<=tem) return find(l,r,p*2);
    31     return find(l,tem,p*2)+find(tem+1,r,p*2+1);
    32 }
    33 void un(int x,int p)
    34 {
    35     if (tree[p].l==tree[p].r)
    36     {
    37         tree[p].sum=0;
    38         return ;
    39     }
    40     if (tree[p*2].r>=x) un(x,p*2);
    41     else un(x,p*2+1);
    42     tree[p].sum=tree[p*2].sum+tree[p*2+1].sum;
    43 }
    44 int main()
    45 {
    46     int t,n,A[50005],a[50005],v[50005];
    47     int i,j,b,c,l,r,s;
    48     scanf("%d",&t);
    49     while (t--)
    50     {
    51         scanf("%d",&n);
    52         memset(v,0,sizeof(v));
    53         for (i=1;i<=n;i++) scanf("%d",&A[i]);
    54         build(1,n,1);
    55         for (i=n;i>1;i--)
    56         {
    57             b=i-(A[i]-A[i-1]);
    58             l=b;
    59             r=n;
    60             while (l<=r)
    61             {
    62                 c=(l+r)/2;
    63                 s=find(1,c,1);
    64                 if (s==b&&!v[c]) break;
    65                 if (s<b) l=c+1;
    66                 else r=c-1;
    67             }
    68             a[i]=c;
    69             v[c]=1;
    70             un(c,1);
    71         }
    72         for (i=1;i<=n;i++)
    73         {
    74             if (!v[i])
    75             {
    76                 a[1]=i;
    77                 break;
    78             }
    79         }
    80         for (i=1;i<n;i++) printf("%d ",a[i]);
    81         printf("%d
    ",a[i]);
    82     }
    83 }

              

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  • 原文地址:https://www.cnblogs.com/pblr/p/5023380.html
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