3410: [Usaco2009 dec]selfish grazing selfish grass eater time limit:3 Sec Memory limit:128 MB
submit:71 solved:62
[Submit] [Status] [Discuss] Description John had N (1≤n≤50000) cows, and John's lawn could be considered a straight line. Each cow only likes to eat grass within a certain range. The first cow likes to eat grass in the interval (Si,ei), 1≤si<ei≤1,000,000,00. Cows are selfish, they don't like to share their favorite fields with other cows, so John wants to make sure that no two cows share the field they like to eat grass. If cow I and cow J want to eat grass at the same time, then be satisfied: Si>=ej or EI≤SJ. John wants to know at the same time how many cows can eat grass at the same time? Input line 1th: an integer n. 2nd to N+1: line i+l has two integer si,ei. Output an integer, up to how many cows can eat grass at the same time. Sample Input5
2 4
1 12
4 5
7 10
7 8Sample Output3HINT
1,3,4 A total of 3 cows can eat grass at the same time, 1,3,5 can also.
Source
Silver
Problem: A greedy water question = = ... Obviously for the same right boundary range, it is clear that the smallest selection is not wrong, so only keep the range of small, and then sort, greedy water over ...
1/**************************************************************2Problem:34103 User:hansbug4 language:pascal5 result:accepted6Time:212Ms7Memory:696KB8****************************************************************/9 Ten var One I,j,k,l,m,n,t:longint; AA:Array[0..60000,1..2] ofLongint; - procedureSwapvarx,y:longint); - varZ:longint; the begin -z:=x;x:=y;y:=Z; - End; - proceduresort (l,r:longint); + varI,j,x,y:longint; - begin +i:=l;j:=r;x:=a[(L+r)Div 2,2];y:=a[(L+r)Div 2,1]; A Repeat at while(A[i,2]<X)or(A[i,2]=X) and(A[i,1]>y)) DoInc (i); - while(A[j,2]>X)or(A[j,2]=X) and(A[j,1]<y)) DoDec (j); - ifI<=j Then - begin -Swap (A[i,1],a[j,1]); -Swap (A[i,2],a[j,2]); in Inc (I);d EC (j); - End; to untilI>J; + ifI<r Thensort (i,r); - ifL<j Thensort (l,j); the End; * begin $ READLN (n);Panax Notoginseng fori:=1 toN DoREADLN (A[i,1],a[i,2]); -Sort1, n); thea[0,1]:=0; a[0,2]:=0; +t:=0; l:=0; A fori:=1 toN Do the ifA[i,2]<>a[i-1,2] Then + ifA[i,1]>=t Then - begin $T:=a[i,2]; $ Inc (L); - End; - Writeln (l); the Readln; - End.
3410: [Usaco2009 dec]selfish grazing selfish grass-eater