• HDU 1394 Minimum Inversion Number 解题报告


    题意:给定一个序列,求出这个序列和它的循环序列里面逆序对的最小值

    解题思路:线段树,这里建树不应该用数组来建树,而是建一个空树,然后边插入,变查找,类似于一个hash树,快速找比它大的数字。循环队列的逆序对为可以dp得出

    解题代码:

      1 #include <stdio.h>
      2 #include <string.h>
      3 #define MAXN  5005
      4 struct node
      5 {
      6   int left ,right,mid ;
      7   int num;
      8 }tree[4*MAXN];
      9 int L(int c)
     10 {
     11   return 2*c;
     12 }
     13 int R(int c)
     14 {
     15    return 2*c + 1;
     16 }
     17 void up(int c )
     18 {
     19    tree[c].num = tree[L(c)].num + tree[R(c)].num;
     20 }
     21 int a[MAXN];
     22 void build(int c, int p , int v)
     23 {
     24     tree[c].left = p ;
     25     tree[c].right = v ;
     26     tree[c].mid = (p+v)/2;
     27     tree[c].num = 0 ;
     28     if(p == v )
     29     {
     30         return ;
     31     }
     32     build(L(c),p,tree[c].mid);
     33     build(R(c),tree[c].mid+1,v);
     34     up(c);
     35 }
     36 int tsum = 0 ;
     37 void F(int c , int p , int v )
     38 {
     39    //  printf("%d
    ",c);
     40      /*if(p <= tree[c].left && v >= tree[c].right)
     41      {
     42          tsum += tree[c].num;
     43          return ;
     44      }
     45      if(v <= tree[c].mid) F(L(c),p,v);
     46      else if(p > tree[c].mid) F(R(c),p,v);
     47      else
     48      {
     49        F(L(c),p,tree[c].mid);
     50        F(R(c),tree[c].mid +1 , v );
     51      }*/
     52     if(p <= tree[c].left && v >= tree[c].right)
     53     {
     54       tsum += tree[c].num;
     55       return ;
     56     }
     57     if(tree[c].mid <  p ) F(R(c),p,v);
     58     else if(tree[c].mid >= v) F(L(c),p,v);
     59     else
     60     {
     61       F(L(c),p,tree[c].mid);
     62       F(R(c),tree[c].mid+1,v);
     63     }
     64 }
     65 void update(int c , int p)
     66 {
     67     if(tree[c].left == p && tree[c].right == p )
     68     {
     69       tree[c].num = 1 ;
     70        return ;
     71     }
     72     if(p <= tree[c].mid) update(L(c),p);
     73     else update(R(c),p);
     74     up(c);
     75 }
     76 int main()
     77 {
     78      int n ;
     79      while(scanf("%d",&n)!= EOF)
     80      {
     81         memset(tree,0,sizeof(tree));
     82         build(1,1,n);
     83         int sum = 0;
     84         for(int i = 1;i <= n;i ++)
     85             {
     86               tsum = 0 ;
     87               scanf("%d",&a[i]);
     88               a[i] = a[i] + 1;
     89               F(1,a[i],n);
     90               sum += tsum;
     91               update(1,a[i]);
     92             }
     93 
     94         int TMIN= sum;
     95         for(int i = 1; i < n;i ++)
     96         {
     97          sum = sum - (a[i]- 1 ) + (n-a[i]);
     98           if(sum < TMIN)
     99             TMIN = sum;
    100         }
    101         printf("%d
    ",TMIN);
    102      }
    103      return 0 ;
    104 }
    View Code
    没有梦想,何谈远方
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  • 原文地址:https://www.cnblogs.com/zyue/p/3223080.html
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