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HDOJ 3473 Minimum Sum
2015-07-20 17:32:26 来源: 作者: 【 】 浏览:2
Tags:HDOJ 3473 Minimum Sum


划分树,统计每层移到左边的数的和.


Minimum Sum

Time Limit: 16000/8000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 2959 Accepted Submission(s): 684


Problem Description You are given N positive integers, denoted as x0, x1 ... xN-1. Then give you some intervals [l, r]. For each interval, you need to find a number x to make \ as small as pZ??http://www.2cto.com/kf/ware/vc/" target="_blank" class="keylink">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"https://www.cppentry.com/upload_files/article/49/1_uunwn__.jpg" alt="\"> . Output a blank line after every test case.
Sample Input
2

5
3 6 2 2 4
2
1 4
0 2

2
7 7
2
0 1
1 1

Sample Output
Case #1:
6
4

Case #2:
0
0

Author standy
Source 2010 ACM-ICPC Multi-University Training Contest(4)――Host by UESTC

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       using namespace std; const int maxn=100010; typedef long long int LL; int tree[18][maxn]; LL sumL[18][maxn]; int sorted[maxn]; int toleft[18][maxn]; void build(int l,int r,int dep) { if(l==r) return ; int mid=(l+r)/2; int same=mid-l+1; for(int i=l;i<=r;i++) if(tree[dep][i]
      
       0) { tree[dep+1][lpos++]=tree[dep][i]; sumL[dep][i]=sumL[dep][i-1]+tree[dep][i]; same--; } else { tree[dep+1][rpos++]=tree[dep][i]; sumL[dep][i]=sumL[dep][i-1]; } toleft[dep][i]=toleft[dep][l-1]+lpos-l; } build(l,mid,dep+1); build(mid+1,r,dep+1); } LL SUMOFLEFT,NUMOFLEFT; LL query(int L,int R,int l,int r,int dep,int k) { if(l==r) return tree[dep][l]; int mid=(L+R)/2; int cnt=toleft[dep][r]-toleft[dep][l-1]; if(cnt>=k) { int newl=L+toleft[dep][l-1]-toleft[dep][L-1]; int newr=newl+cnt-1; return query(L,mid,newl,newr,dep+1,k); } else { SUMOFLEFT+=sumL[dep][r]-sumL[dep][l-1]; NUMOFLEFT+=cnt; int newr=r+toleft[dep][R]-toleft[dep][r]; int newl=newr-(r-l-cnt); return query(mid+1,R,newl,newr,dep+1,k-cnt); } } int n,m; LL sum[maxn]; int main() { int T_T,cas=1; scanf("%d",&T_T); while(T_T--) { scanf("%d",&n); for(int i=1;i<=n;i++) { scanf("%d",sorted+i); tree[0][i]=sorted[i]; sum[i]=sum[i-1]+sorted[i]; } sort(sorted+1,sorted+1+n); build(1,n,0); scanf("%d",&m); printf("Case #%d:\n",cas++); while(m--) { int l,r,k; scanf("%d%d",&l,&r); l++; r++; k=(l+r)/2-l+1; SUMOFLEFT=0;NUMOFLEFT=0; LL ave=query(1,n,l,r,0,k); printf("%I64d\n",(sum[r]-sum[l-1]-SUMOFLEFT)-SUMOFLEFT+(NUMOFLEFT-(r-l+1-NUMOFLEFT))*ave); } putchar(10); } return 0; } 
      
     
    
   
  




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