1699: [Usaco2007 jan]balanced lineup queue time limit:5 Sec Memory limit:64 MB
Description
Every day, farmer John's N (1 <= n <= 50,000) Cows are always queued in the same sequence. One day, John decided to let some cows play a Frisbee game. He was going to find a group of cows that were set up in the column to play. But in order to avoid the level of disparity, the height of the cow should not be too large. John prepares q (1 <= q <= 180,000) for the choice of possible cattle and the height of all cows (1 <= height <= 1,000,000). He wanted to know the height difference between the highest and lowest cows in each group. Note: On the largest data, the input and output will occupy most of the elapsed time.
Input
* First line: N and Q. * 2nd. N+1: Line i+1 is the height of the first cow.
* Line n+2..n+q+1: Two integers, A and B (1 <= a <= b <= N), representing all cows from A to B.
Output
* 1th. Q Line: All inquiries answered (the highest and lowest of the cow's height), one per line.
Sample Input6 3
1
7
3
4
2
5
1 5
4 6
2 2
Sample Output6
3
0
HINT Source
Gold
Test instructions: Interval maximum-interval minimum;
Ideas: Block writing, the first question;
#include <bits/stdc++.h>using namespaceSTD; #define LL Long Long#define Pi (4*atan (1.0)) const int N=2E5+10,M=4E6+10,INF=1E9+10; intMaxx[n],a[n],k,si,minn[n];void Init (intx) {for (int i=1;i<=si;i++) {minn[i]=Inf for (int t= (i-1) *k+1;t<=i*k;t++) {maxx[i]=Max (A[t],maxx[i]); minn[i]=Min (A[t],minn[i]); }}}int workmax (int l,int r,intx) {int lk= (l/k) + (l%k!=0?1:0); int rk= (r/k) + (r%k!=0?1:0); int ans=0; if (lk==RK) {for (int i=l;i<=r;i++) ans=Max (Ans,a[i]); ReturnAns } for (int i=l;i<=lk*k;i++) ans=Max (Ans,a[i]); for (int i= (rk-1) *k+1;i<=r;i++) ans=Max (Ans,a[i]); for (int i=lk+1;i<=rk-1;i++) ans= Max (Ans,maxx[i]); return ans;} int workmin (int l,int r,int x) {int lk= (l/k) + (l%k!=0?1:0 ); int rk= (r/k) + (r%k!=0?1:0 ); int ans= Inf if (lk== rk) {for (int i=l;i<=r;i++ ) ans= min (ans,a[i]), return ans;} for (int i=l;i<=lk*k;i + + ) ans= min (ans,a[i]), for (int i= (rk-1) *k+1;i<=r;i++ ) ans= min (ans,a[i]), for (int i=lk+1;i <=rk-1;i++ ) ans= min (ans,minn[i]); return ans; int Main () {int x,y,z,i,t,q; while (~scanf ("%d%d", &x,& Q)} {for (i=1;i<=x;i++ ) scanf ("%d", & a[i]), k= (int ) sqrt (x); si=x/ K; init (x); while (q--) {int l,r; scanf ("%d%d", &l,& R); printf ("%d\n", Workmax (l,r,x)- workmin (l,r,x));}} return 0 ;}
Bzoj 1699: [Usaco2007 jan]balanced Lineup Queued Tiles