HDU 5172 GTY's gay friends(線段樹)
Problem Description
GTY has
n gay
friends. To manage them conveniently, every morning he ordered all his gay friends to stand in a line. Every gay friend has a characteristic value
ai ,
to express how manly or how girlish he is. You, as GTY's assistant, have to answer GTY's queries. In each of GTY's queries, GTY will give you a range
[l,r] .
Because of GTY's strange hobbies, he wants there is a permutation
[1..r?l+1] in
[l,r].
You need to let him know if there is such a permutation or not.
Input
Multi test cases (about 3) . The first line contains two integers n and m (
1≤n,m≤1000000 ),
indicating the number of GTY's gay friends and the number of GTY's queries. the second line contains n numbers seperated by spaces. The
ith number
ai (
1≤ai≤n )
indicates GTY's
ith gay
friend's characteristic value. The next m lines describe GTY's queries. In each line there are two numbers l and r seperated by spaces (
1≤l≤r≤n ),
indicating the query range.
Output
For each query, if there is a permutation
[1..r?l+1] in
[l,r],
print 'YES', else print 'NO'.
Sample Input
8 5
2 1 3 4 5 2 3 1
1 3
1 1
2 2
4 8
1 5
3 2
1 1 1
1 1
1 2
Sample Output
YES
NO
YES
YES
YES
YES
NO
題意:給出n個數,m個詢問,問你[l,r]區間內是否為1到r-l+1的全排列。
大小很容易我們通過記錄前綴和很容易求出來,但是關鍵是去重。
考慮線段樹做法,我們記錄每個點的靠左最近的相同元素的位置,然後求
整個區間的最大值(即最大的前驅)如果小於l,即滿足條件,輸出YES。
#include
#include
#include
#include
#include
#include
#include
#include
#include