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【划分树+二分】HDU 4417 Super Mario

第一次 耍划分树。。。


#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <string>
#include <iostream>
#include <algorithm>
using namespace std;
#include <queue>
#include <stack>
#include <vector>
#include <deque>
#include <set>
#include <map>
typedef long long LL;
const int MAXN = 100999;//点数的最大值
const int MAXM = 1000010;//边数的最大值
const LL INF = 1152921504;
/*
* 划分树(查询区间第k大)
*/
int tree[20][MAXN];//表示每层每个位置的值
int sorted[MAXN];//已经排序好的数
int toleft[20][MAXN];//toleft[p][i]表示第i层从1到i有数分入左边
void build(int l,int r,int dep)
{
    if(l == r)return;
    int mid = (l+r)>>1;
    int same = mid - l + 1;//表示等于中间值而且被分入左边的个数
    for(int i = l; i <= r; i++) //注意是l,不是one
        if(tree[dep][i] < sorted[mid])
            same--;
    int lpos = l;
    int rpos = mid+1;
    for(int i = l; i <= r; i++)
    {
        if(tree[dep][i] < sorted[mid])
            tree[dep+1][lpos++] = tree[dep][i];
        else if(tree[dep][i] == sorted[mid] && same > 0)
        {
            tree[dep+1][lpos++] = tree[dep][i];
            same--;
        }
        else
            tree[dep+1][rpos++] = tree[dep][i];
        toleft[dep][i] = toleft[dep][l-1] + lpos - l;
    }
    build(l,mid,dep+1);
    build(mid+1,r,dep+1);
}
//查询区间第k大的数,[L,R]是大区间,[l,r]是要查询的小区间
int query(int L,int R,int l,int r,int dep,int k)
{
    if(l == r)return tree[dep][l];
    int mid = (L+R)>>1;
    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
    {
        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 main()
{
    int n,m,t,cas=1;
 //   freopen("in.txt","r",stdin);
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        memset(tree,0,sizeof(tree));
        for(int i = 1; i <= n; i++)
        {
            scanf("%d",&tree[0][i]);
            sorted[i] = tree[0][i];
        }
        sort(sorted+1,sorted+n+1);
        build(1,n,0);
        int l,r,num;
        printf("Case %d:\n",cas++);
        while(m--)
        {
            scanf("%d%d%d",&l,&r,&num);
            l++,r++;
            int y=r-l+1,z=1;
            while(z<=y)
            {
                int x=(z+y)>>1;
                int sum=query(1,n,l,r,0,x);
                if(sum<=num)
                {
                    z=x+1;
                }
                else
                {
                    y=x-1;
                }
           //      printf("%d\n",num);
            }
            z=r-l+1-z+1;
            printf("%d\n",r-l+1-z);
        }
    }
    return 0;
}