Stall Reservations 专用牛棚
Oh those picky N (1 <= N <= 50,000) cows! They are so picky that each one will only be milked over s
ome precise time interval A..B (1 <= A <= B <= 1,000,000), which includes both times A and B. Obviou
sly, FJ must create a reservation system to determine which stall each cow can be assigned for her m
ilking time. Of course, no cow will share such a private moment with other cows. Help FJ by determin
ing: * The minimum number of stalls required in the barn so that each cow can have her private milki
ng period * An assignment of cows to these stalls over time
有N头牛,每头牛有个喝水时间,这段时间它将专用一个Stall 现在给出每头牛的喝水时间段,问至少要多少个Stall
才能满足它们的要求
ome precise time interval A..B (1 <= A <= B <= 1,000,000), which includes both times A and B. Obviou
sly, FJ must create a reservation system to determine which stall each cow can be assigned for her m
ilking time. Of course, no cow will share such a private moment with other cows. Help FJ by determin
ing: * The minimum number of stalls required in the barn so that each cow can have her private milki
ng period * An assignment of cows to these stalls over time
有N头牛,每头牛有个喝水时间,这段时间它将专用一个Stall 现在给出每头牛的喝水时间段,问至少要多少个Stall
才能满足它们的要求
Input
* Line 1: A single integer, N
* Lines 2..N+1: Line i+1 describes cow i's milking interval with two space-separated integers.
* Lines 2..N+1: Line i+1 describes cow i's milking interval with two space-separated integers.
Output
* Line 1: The minimum number of stalls the barn must have.
* Lines 2..N+1: Line i+1 describes the stall to which cow i will be assigned for her milking period.
* Lines 2..N+1: Line i+1 describes the stall to which cow i will be assigned for her milking period.
Sample Input
5
1 10
2 4
3 6
5 8
4 7
Sample Output
4 //Here's a graphical schedule for this output: Time 1 2 3 4 5 6 7 8 9 10 Stall 1 c1>>>>>>>>>>>>>>>>>>>>>>>>>>> Stall 2 .. c2>>>>>> c4>>>>>>>>> .. .. Stall 3 .. .. c3>>>>>>>>> .. .. .. .. Stall 4 .. .. .. c5>>>>>>>>> .. .. .. Other outputs using the same number of stalls are possible.
sol:差分思想,简单题,直接看标程吧。
1 #include<cstdio> 2 using namespace std; 3 int a[1000010]; 4 int main() 5 { 6 int ans=-1; 7 int n; 8 scanf("%d",&n); 9 for(int i=1;i<=n;i++) 10 { 11 int x,y; 12 scanf("%d%d",&x,&y); 13 a[x]+=1;a[y+1]-=1; 14 } 15 int length=0; 16 for(int i=1;i<=1000000;i++) 17 { 18 length+=a[i]; 19 if(length>ans)ans=length; 20 } 21 printf("%d",ans); 22 return 0; 23 }