• BZOJ 3389: [Usaco2004 Dec]Cleaning Shifts安排值班


    题目

    3389: [Usaco2004 Dec]Cleaning Shifts安排值班

    Time Limit: 1 Sec  Memory Limit: 128 MB

    Description

        一天有T(1≤T≤10^6)个时段.约翰正打算安排他的N(1≤N≤25000)只奶牛来值班,打扫
    打扫牛棚卫生.每只奶牛都有自己的空闲时间段[Si,Ei](1≤Si≤Ei≤T),只能把空闲的奶牛安排出来值班.而且,每个时间段必需有奶牛在值班.  那么,最少需要动用多少奶牛参与值班呢?如果没有办法安排出合理的方案,就输出-1.

    Input

     
        第1行:N,T.
        第2到N+1行:Si,Ei.

    Output

     
        最少安排的奶牛数.

    Sample Input


    3 10
    1 7
    3 6
    6 10

    Sample Output


    2


    样例说明
    奶牛1和奶牛3参与值班即可.

    HINT

     

    Source

    题解

    呵呵,做了一半忽然发现这不是昨天做的那题(BZOJ 1672)的减弱版,题解直接见http://www.cnblogs.com/WNJXYK/p/4074788.html。线段树动态规划!【听说贪心可做,Orz但那是我N^2贪心TLE了两次、、、

    代码

      1 /*Author:WNJXYK*/
      2 #include<cstdio>
      3 #include<algorithm>
      4 using namespace std;
      5 
      6 int n,st,ed;
      7 struct line{
      8     int left,right;
      9     int w;
     10 }cow[25010];
     11 bool cmp(line a,line b){
     12     if (a.left<b.left) return true;
     13     if (a.left==b.left && a.right<b.right) return true;
     14     return false;
     15 }
     16 inline int remin(int a,int b){
     17     if (a<b) return a;
     18     return b;    
     19 }
     20 inline int remax(int a,int b){
     21     if (a>b) return a;
     22     return b;
     23 }
     24 
     25 const int Maxn=1000000;
     26 const int Inf=2000000000;
     27 struct Btree{
     28     int left,right;
     29     int min;
     30     int tag;
     31 }tree[Maxn*4+10];
     32 
     33 void build(int x,int left,int right){
     34     tree[x].left=left;
     35     tree[x].right=right;
     36     tree[x].tag=Inf;
     37     if (left==right){
     38         tree[x].min=(left<st?0:Inf);
     39     }else{
     40         int mid=(left+right)/2;
     41         build(x*2,left,mid);
     42         build(x*2+1,mid+1,right);
     43         tree[x].min=remin(tree[x*2].min,tree[x*2+1].min);
     44     }
     45 }
     46 
     47 inline void clean(int x){
     48     if (tree[x].left!=tree[x].right){
     49         tree[x*2].min=remin(tree[x].tag,tree[x*2].min);
     50         tree[x*2].tag=remin(tree[x].tag,tree[x*2].tag);
     51         tree[x*2+1].min=remin(tree[x].tag,tree[x*2+1].min);
     52         tree[x*2+1].tag=remin(tree[x].tag,tree[x*2+1].tag);
     53         tree[x].tag=Inf;
     54     }
     55 }
     56 
     57 void change(int x,int left,int right,int val){
     58     clean(x);
     59     if (left<=tree[x].left && tree[x].right<=right){
     60         tree[x].tag=remin(tree[x].tag,val);
     61         tree[x].min=remin(tree[x].min,val);
     62     }else{
     63         int mid=(tree[x].left+tree[x].right)/2;
     64         if (left<=mid) change(x*2,left,right,val);
     65         if (right>=mid+1)change(x*2+1,left,right,val);
     66         tree[x].min=remin(tree[x*2].min,tree[x*2+1].min);
     67     }
     68 }
     69 
     70 int query(int x,int left,int right){
     71     clean(x);
     72     if (left<=tree[x].left && tree[x].right<=right){
     73         return tree[x].min;
     74     }else{
     75         int Ans=Inf;
     76         int mid=(tree[x].left+tree[x].right)/2;
     77         if (left<=mid) Ans=remin(Ans,query(x*2,left,right));
     78         if (right>=mid+1) Ans=remin(Ans,query(x*2+1,left,right));
     79         return Ans; 
     80     }
     81 }
     82 
     83 
     84 int main(){
     85     scanf("%d%d",&n,&ed);
     86     st=1;
     87     build(1,0,ed);
     88     for (int i=1;i<=n;i++){
     89         scanf("%d%d",&cow[i].left,&cow[i].right);
     90         cow[i].w=1;
     91     }
     92     sort(cow+1,cow+n+1,cmp);
     93     for (int i=1;i<=n;i++){
     94         int mindist=query(1,remax(cow[i].left-1,0),cow[i].right)+cow[i].w;
     95         //printf("mindist:%d
    ",mindist);
     96         //printf("query %d %d -> min=%d
    ",remax(cow[i].left-1,0),cow[i].right,query(1,cow[i].left,cow[i].right));
     97         change(1,cow[i].left,cow[i].right,mindist);
     98     } 
     99         //printf("query min=%d
    ",query(1,ed,ed));
    100     int ans=query(1,ed,ed);
    101     if (ans==Inf)
    102         printf("-1
    ");
    103     else
    104         printf("%d
    ",ans); 
    105     return 0;
    106 }
    View Code
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  • 原文地址:https://www.cnblogs.com/WNJXYK/p/4075442.html
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