POJ 3264 Balanced Lineup RMQ问题的ST解法
2012-09-15 22:28
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Balanced Lineup
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
Line 1: Two space-separated integers, N and Q.
Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i
Lines N+2..N+Q+1: Two integers A and B (1 ≤ A ≤ B ≤ N), representing the range of cows from A to B inclusive.
Output
Lines 1..Q:
Each line contains a single integer that is a response to a reply and
indicates the difference in height between the tallest and shortest cow
in the range.
Sample Input
Sample Output
Source
USACO 2007 January Silver
RMQ问题的ST解法、第一次用,1Y,呵呵
开学后课好多,课程任务好重、都没什么时间做题目、学算法、烦呀
Time Limit: 5000MS | Memory Limit: 65536K | |
Total Submissions: 24349 | Accepted: 11348 | |
Case Time Limit: 2000MS |
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
Line 1: Two space-separated integers, N and Q.
Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i
Lines N+2..N+Q+1: Two integers A and B (1 ≤ A ≤ B ≤ N), representing the range of cows from A to B inclusive.
Output
Lines 1..Q:
Each line contains a single integer that is a response to a reply and
indicates the difference in height between the tallest and shortest cow
in the range.
Sample Input
6 3 1 7 3 4 2 5 1 5 4 6 2 2
Sample Output
6 3 0
Source
USACO 2007 January Silver
RMQ问题的ST解法、第一次用,1Y,呵呵
开学后课好多,课程任务好重、都没什么时间做题目、学算法、烦呀
#include <iostream> #include <stdio.h> #define N 50010 #include <cmath> using namespace std; int f_min [18]; int f_max [18]; int main() { // cout<<(1<<16); int n,q; int i,j,k,t; int h,l; // printf("%d ",k); while(scanf("%d %d",&n,&q)!=EOF) { for(i=1;i<=n;i++) { scanf("%d",&f_min[i][0]); f_max[i][0]=f_min[i][0]; } k=(int)(log(n*1.0)/log(2*1.0)); for(i=1;i<=k;i++) { t=(1<<i); for(j=1;j<=n-t+1;j++) { f_max[j][i]=max(f_max[j][i-1],f_max[j+t/2][i-1]); f_min[j][i]=min(f_min[j][i-1],f_min[j+t/2][i-1]); } } while(q--) { scanf("%d %d",&i,&j); k=(int)(log((j-i+1)*1.0)/log(2*1.0)); t=(1<<k); h=max(f_max[i][k],f_max[j-t+1][k]); l=min(f_min[i][k],f_min[j-t+1][k]); printf("%d\n",h-l); } } return 0; }
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