• BZOJ2225: [Spoj 2371]Another Longest Increasing CDQ分治,3维LIS


    Code:

    #include <cstdio>
    #include <algorithm>
    #include <cstring>  
    #define maxn 200000 
    #define setIO(s) freopen(s".in","r",stdin) 
    using namespace std;
    int n,ans[maxn],hh[maxn]; 
    inline void getmax(int &a,int b){ if(b>a)a=b; }
    struct Node{
        int x,y,z,org; 
    }node[maxn]; 
    int cmpx(Node a,Node b)
    {
        if(a.x==b.x&&a.y==b.y) return a.z<b.z;
        else if(a.x==b.x) return a.y<b.y;
        else return a.x<b.x;  
    }
    int cmpy(Node a,Node b){
        if(a.y==b.y) return a.z<b.z;
        else return a.y<b.y; 
    }
    struct BIT{
        int C[maxn]; 
        int lowbit(int t) { return t&(-t);}
        void update(int p,int x){ while(p<maxn) getmax(C[p],x),p+=lowbit(p); }
        int query(int p){
            if(p<=0) return 0; 
            int ss=0;
            while(p>0) getmax(ss,C[p]),p-=lowbit(p);
            return ss;
        }
        void del(int p){ while(p<maxn)C[p]=0,p+=lowbit(p); }
    }tree; 
    void solve(int l,int r){
        if(l>=r) return; 
        int mid=(l+r)>>1,tl=l,tr=mid+1; 
        solve(l,mid); 
        sort(node+l,node+mid+1,cmpy),sort(node+mid+1,node+r+1,cmpy);
    
        while(tl<=mid&&tr<=r) {
            if(node[tl].y<node[tr].y) {
                tree.update(node[tl].z,ans[node[tl].org]); 
                ++tl;
            }
            else {
                getmax(ans[node[tr].org],tree.query(node[tr].z-1)+1);
                ++tr;  
            }
        }
        for(int i=tr;i<=r;++i) getmax(ans[node[i].org],tree.query(node[i].z-1)+1); 
        for(int i=l;i<=mid;++i) tree.del(node[i].z); 
        sort(node+mid+1,node+1+r,cmpx),solve(mid+1,r);  
    }
          
    int main(){
        //setIO("input"); 
        scanf("%d",&n);
        for(int i=1;i<=n;++i) node[i].x=node[i].org=i,scanf("%d%d",&node[i].y,&node[i].z),hh[i]=node[i].z;
        sort(hh+1,hh+1+n);  
        for(int i=1;i<=n;++i) node[i].z=lower_bound(hh+1,hh+1+n,node[i].z)-hh; 
        for(int i=1;i<=n;++i) ans[i]=1; 
        sort(node+1,node+1+n,cmpx); 
        solve(1,n); 
        int h=0;
        for(int i=1;i<=n;++i) getmax(h,ans[i]); 
        printf("%d",h); 
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/guangheli/p/10368060.html
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