Balanced Lineup
Time Limit:5000MS Memory Limit:65536KB 64bit IO Format:%I64d & %I64u
Description
For the daily milking, Farmer John's N cows (1 ≤ N ≤ 50,000) always line up in the same order. One day Farmer John decides to organize a game of Ultimate Frisbee with some of the cows. To keep things simple, he will take a contiguous range of cows from the milking lineup to play the game. However, for all the cows to have fun they should not differ too much in height.
Farmer John has made a list of Q (1 ≤ Q ≤ 200,000) potential groups of cows and their heights (1 ≤ height ≤ 1,000,000). For each group, he wants your help to determine the difference in height between the shortest and the tallest cow in the group.
Input
Output
Sample Input
6 3 1 7 3 4 2 5 1 5 4 6 2 2
Sample Output
6 3 0
#include"cstdio" #include"cstring" #include"algorithm" #define lson (rt<<1),l,mid #define rson (rt<<1)|1,mid+1,r #define gmid (a[rt].l+a[rt].r)>>1; using namespace std; const int MAXN=50005; struct node{ int l,r; int maxn,minn; }a[MAXN*4]; void build(int rt,int l,int r) { a[rt].l=l; a[rt].r=r; if(l==r) { scanf("%d",&a[rt].maxn); a[rt].minn=a[rt].maxn; return ; } int mid=gmid; build(lson); build(rson); a[rt].maxn=max(a[rt<<1].maxn,a[(rt<<1)|1].maxn); a[rt].minn=min(a[rt<<1].minn,a[(rt<<1)|1].minn); } int query(int rt,int l,int r,int op) { if(a[rt].l==l&&a[rt].r==r) { if(op==1) return a[rt].maxn; else return a[rt].minn; } int mid=gmid; if(r<=mid) return query(rt<<1,l,r,op); else if(mid<l) return query((rt<<1)|1,l,r,op); else{ if(op==1) return max(query(rt<<1,l,mid,op),query((rt<<1)|1,mid+1,r,op)); else return min(query(rt<<1,l,mid,op),query((rt<<1)|1,mid+1,r,op)); } } int main() { int n,m; while(scanf("%d%d",&n,&m)!=EOF) { build(1,1,n); while(m--) { int l,r; scanf("%d%d",&l,&r); int diff=query(1,l,r,1)-query(1,l,r,2);//1表示求最大值,2表示求最小值 printf("%d ",diff); } } }