3433: [Usaco2014 Jan]Recording the Moolympics
3433: [Usaco2014 Jan]Recording the Moolympics
Time Limit: 10 Sec Memory Limit: 128 MB
Submit: 137 Solved: 89
Description
Being a fan of all cold-weather sports (especially those involving cows), Farmer John wants to record as much of the upcoming winter Moolympics as possible. The television schedule for the Moolympics consists of N different programs (1 <= N <= 150), each with a designated starting time and ending time. FJ has a dual-tuner recorder that can record two programs simultaneously. Please help him determine the maximum number of programs he can record in total.
给出n个区间[a,b).有2个记录器.每个记录器中存放的区间不能重叠.
求2个记录器中最多可放多少个区间.
Input
* Line 1: The integer N.
* Lines 2..1+N: Each line contains the start and end time of a single program (integers in the range 0..1,000,000,000).
Output
* Line 1: The maximum number of programs FJ can record.
Sample Input
6 0 3 6 7 3 10 1 5 2 8 1 9 INPUT DETAILS: The Moolympics broadcast consists of 6 programs. The first runs from time 0 to time 3, and so on.
Sample Output
4 OUTPUT DETAILS: FJ can record at most 4 programs. For example, he can record programs 1 and 3 back-to-back on the first tuner, and programs 2 and 4 on the second tuner.
HINT
Source
题解:(呵呵哒我会告诉你我的第一反应是网络流?)
其实仔细看看后发现还是个贪心,只不过现在是两个容器= =,然后就是经典的右边界排序后O(n)乱搞了
1 /**************************************************************
2 Problem: 3433
3 User: HansBug
4 Language: Pascal
5 Result: Accepted
6 Time:0 ms
7 Memory:304 kb
8 ****************************************************************/
9
10 var
11 i,j,k,l,m,n,ans,l1,l2:longint;
12 a:array[0..10000,1..2] of longint;
13 procedure swap(var x,y:longint);
14 var z:longint;
15 begin
16 z:=x;x:=y;y:=z;
17 end;
18 procedure sort(l,r:longint);
19 var i,j,x,y:longint;
20 begin
21 i:=l;j:=r;x:=a[(l+r) div 2,2];
22 repeat
23 while a[i,2]<x do inc(i);
24 while a[j,2]>x do dec(j);
25 if i<=j then
26 begin
27 swap(a[i,1],a[j,1]);
28 swap(a[i,2],a[j,2]);
29 inc(i);dec(j);
30 end;
31 until i>j;
32 if i<r then sort(i,r);
33 if l<j then sort(l,j);
34 end;
35
36 begin
37 readln(n);
38 for i:=1 to n do readln(a[i,1],a[i,2]);
39 sort(1,n);
40 for i:=1 to n do
41 begin
42 if (a[i,1]>=l1) then
43 begin
44 l1:=a[i,2];
45 inc(ans);
46 end
47 else if (a[i,1]>=l2) then
48 begin
49 l2:=a[i,2];
50 inc(ans);
51 end;
52 if l1<l2 then swap(l1,l2);
53 end;
54 writeln(ans);
55 readln;
56 end.
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