You've got an array, consisting of *n* integers *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub>. Also, you've got *m* queries, the *i*-th query is described by two integers *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub>. Numbers *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub> define a subsegment of the original array, that is, the sequence of numbers *a*<sub class="lower-index">*l*<sub class="lower-index">*i*</sub></sub>, *a*<sub class="lower-index">*l*<sub class="lower-index">*i*</sub> + 1</sub>, *a*<sub class="lower-index">*l*<sub class="lower-index">*i*</sub> + 2</sub>, ..., *a*<sub class="lower-index">*r*<sub class="lower-index">*i*</sub></sub>. For each query you should check whether the corresponding segment is a ladder. 

A ladder is a sequence of integers *b*<sub class="lower-index">1</sub>, *b*<sub class="lower-index">2</sub>, ..., *b*<sub class="lower-index">*k*</sub>, such that it first doesn't decrease, then doesn't increase. In other words, there is such integer *x* (1 ≤ *x* ≤ *k*), that the following inequation fulfills: *b*<sub class="lower-index">1</sub> ≤ *b*<sub class="lower-index">2</sub> ≤ ... ≤ *b*<sub class="lower-index">*x*</sub> ≥ *b*<sub class="lower-index">*x* + 1</sub> ≥ *b*<sub class="lower-index">*x* + 2</sub>... ≥ *b*<sub class="lower-index">*k*</sub>. Note that the non-decreasing and the non-increasing sequences are also considered ladders.
The first line contains two integers *n* and *m* (1 ≤ *n*, *m* ≤ 10<sup class="upper-index">5</sup>) — the number of array elements and the number of queries. The second line contains the sequence of integers *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> (1 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>), where number *a*<sub class="lower-index">*i*</sub> stands for the *i*-th array element.

The following *m* lines contain the description of the queries. The *i*-th line contains the description of the *i*-th query, consisting of two integers *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub> (1 ≤ *l*<sub class="lower-index">*i*</sub> ≤ *r*<sub class="lower-index">*i*</sub> ≤ *n*) — the boundaries of the subsegment of the initial array.

The numbers in the lines are separated by single spaces.
import sys
input = lambda: sys.stdin.readline().rstrip()
from bisect import *

N,M = map(int, input().split())
A = list(map(int, input().split()))

B = [0]
for i in range(1,N):
    if A[i]==A[i-1]:
        B.append(0)
    elif A[i-1]<A[i]:
        B.append(1)
    else:
        B.append(-1)

D,E = [[0,0]],[]
for i in range(1,N):
    if B[i]==-1:
        D[-1][1]=i
    elif B[i-1]==-1:
        D.append([i-1,i])
for l,r in D:
    E.append(r)

for _ in range(M):
    l,r = map(int, input().split())
    l-=1;r-=1
    
    idx = bisect_left(E, r)
    if idx>=len(E):
        print('No')
        continue
    if D[idx][0]<=l:
        print('Yes')
    else:
        print('No')


