Problem: Tomorrow Peter has a Biology exam. He does not like this subject much, but d days ago he learnt that he would have to take this exam. Peter's strict parents made him prepare for the exam immediately, for this purpose he has to study not less than minTimei and not more than maxTimei hours per each i-th day. Moreover, they warned Peter that a day before the exam they would check how he has followed their instructions.

So, today is the day when Peter's parents ask him to show the timetable of his preparatory studies. But the boy has counted only the sum of hours sumTime spent him on preparation, and now he wants to know if he can show his parents a timetable sсhedule with d numbers, where each number sсhedulei stands for the time in hours spent by Peter each i-th day on biology studies, and satisfying the limitations imposed by his parents, and at the same time the sum total of all schedulei should equal to sumTime.

Input

The first input line contains two integer numbers d, sumTime (1 ≤ d ≤ 30, 0 ≤ sumTime ≤ 240) — the amount of days, during which Peter studied, and the total amount of hours, spent on preparation. Each of the following d lines contains two integer numbers minTimei, maxTimei (0 ≤ minTimei ≤ maxTimei ≤ 8), separated by a space — minimum and maximum amount of hours that Peter could spent in the i-th day.

Output

In the first line print YES, and in the second line print d numbers (separated by a space), each of the numbers — amount of hours, spent by Peter on preparation in the corresponding day, if he followed his parents' instructions; or print NO in the unique line. If there are many solutions, print any of them.

Examples

Input

1 48
5 7


Output

NO


Input

2 5
0 1
3 5


Output

YES
1 4 

Solution (in PYTHON3):

Solution:
'''
def main():
	from sys import stdin,stdout
if __name__=='__main__':
	main()
'''
#Journey to moon
'''
def main():
	from sys import stdin,stdout
	import collections
	N,I =map(int,stdin.readline().split())
	visited=list(0 for x in range(N))
	G=collections.defaultdict(list)
	groups=[0]
	for _ in range(I):
		a,b=map(int,stdin.readline().split())
		G[a].append(b)
		G[b].append(a)
	q=collections.deque()
	flag=0
	for i in range(N):
		if not visited[i]:
			q.append(i)
			visited[i]=flag+1
			groups[flag]+=1
			while len(q):
				top=q.popleft()
				for j in G[top]:
					if visited[j]!=visited[top]:
						visited[j]=flag+1
						groups[flag]+=1
						q.append(j)
			flag+=1
			groups.append(0)
	counter=0
	for i in range(len(groups)-1):
		for j in range(i+1,len(groups)):
			counter+=groups[i]*groups[j]
	stdout.write(str(counter))
if __name__=='__main__':
	main()
'''
#Djikstra's
'''
import collections
class Graph:
	def __init__(self):
		self.nodes=set()
		self.edges=collections.defaultdict(list)
		self.distances = {}

	def add_node(self, value):
		self.nodes.add(value)

	def add_edge(self, from_node, to_node, distance):
		self.edges[from_node].append(to_node)
		self.edges[to_node].append(from_node)
		self.distances[(from_node, to_node)] = distance
		self.distances[(to_node, from_node)] = distance


def dijsktra(graph, initial):
	visited = {initial: 0}
	path = {}

	nodes = set(graph.nodes)

	while nodes:
		min_node = None
		for node in nodes:
			if node in visited:
				if min_node is None:
					min_node = node
				elif visited[node] < visited[min_node]:
					min_node = node

		if min_node is None:
			break

		nodes.remove(min_node)
		current_weight = visited[min_node]

		for edge in graph.edges[min_node]:
			weight = current_weight + graph.distances[(min_node, edge)]
			if edge not in visited or weight < visited[edge]:
				visited[edge] = weight
				path[edge] = min_node

	return visited, path

def main():
	from sys import stdin,stdout
	for _ in range(int(stdin.readline())):
		n,m=map(int,stdin.readline().split())
		G=Graph()
		for i in range(n):
			G.add_node(i+1)
		for i in range(m):
			a,b,c=map(int,stdin.readline().split())
			G.add_edge(a,b,c)
		initial=int(stdin.readline())
		v,p=dijsktra(G, initial)
		#print(v)
		#print(p)
		for i in range(1,n+1):
			if i!=initial:
				k=v.get(i,-1)
				stdout.write(str(k)+' ')
		stdout.write('\n')
if __name__=='__main__':
	main()
'''
#Larget pallindrome in String
'''
def main():
	from sys import stdin,stdout
	string=stdin.readline().strip()
	l=len(string)
	#Triangle logic	
	
	arrlen=(l*(l-1))//2
	arr=list(0 for x in range(arrlen))
	f=0
	c=l-1
	for i in range(l-1):
		for j in range(i+1,l):
			if string[i]==string[j]:
				arr[f+j-i-1]=1
		f+=c
		c-=1
	#print(arr)
	if any(arr):
		
	else:
		if l & 1:
			stdout.write('First')
		else:
			stdout.write('Second')
	#2-d Array Logic
	arr=list(list(0 for i in range(l)) for j in range(l))
	for i in range(l):
		for j in range(l):
			if string[i]==string[j]:
				arr[i][j]=1
	maxim=0
	for i in range(0,l*(l-1)-2,l+1):
		a,b=i+1,i+2
		#print(a,b)
		acount=0
		x=a//5
		y=a%5
		acount=arr[x][y]		
		x-=1
		y-=1
		while x>=0 and y>=0:
			acount+=arr[x][y]
			x-=1
			y-=1
		x=b//5
		y=b%5
		bcount=arr[x][y]		
		x-=1
		y-=1
		while x>=0 and y>=0:
			bcount+=arr[x][y]
			x-=1
			y-=1
		maxim=max((acount,bcount,maxim))
	maxim=max(maxim,arr[l-2][l-1])
	maxim=(maxim<<1)^1
	delta=l-maxim
	if delta & 1:
		stdout.write('Second')
	else:
		stdout.write('First')
if __name__=='__main__':
	main()
'''
#276B
'''
def main():
	from sys import stdin,stdout
	import collections
	s=stdin.readline().strip()
	count=collections.Counter(s)
	l=list(filter(lambda x: count[x] & 1,list(x for x in count)))
	removed=sum(list(count[x] for x in l))-max(list(count[x] for x in l)+[0])
	if removed & 1:
		stdout.write('Second')
	else:
		stdout.write('First')
if __name__=='__main__':
	main()
'''
#362B
'''
def main():
	from sys import stdin,stdout
	n,m=map(int,stdin.readline().split())
	if m:
		dirty=sorted(map(int,stdin.readline().split()))
		if dirty[0]==1 or dirty[-1]==n:
			stdout.write('NO')
		else:
			flag=True
			for i in range(m-2):
				if dirty[i+1]==dirty[i]+1 and dirty[i+2]==dirty[i]+2:
					flag=False
					break
			if flag:
				stdout.write('YES')
			else:
				stdout.write('NO')
	else:
		stdout.write('YES')
if __name__=='__main__':
	main()
'''
#279B SUM OF SUB-ARRAY
'''
def main():
	from sys import stdin,stdout
	n,t=map(int,stdin.readline().split())
	arr=list(map(int,stdin.readline().split()))
	maxim=0
	curr_sum=arr[0]
	i=0
	j=1
	if curr_sum <=t:
		count=1
	else:
		curr_sum=0
		count=0
		i=1
		j=2
	while j<n:
		if curr_sum+arr[j]<=t:
			count+=1
			curr_sum+=arr[j]
			j+=1
		else:
			maxim=max(count,maxim)
			if curr_sum:
				curr_sum-=arr[i]
				count-=1
			else:
				j+=1
			i+=1
	maxim=max(count,maxim)
	stdout.write(str(maxim))
if __name__=='__main__':
	main()
'''
#469B
'''
def main():
	from sys import stdin,stdout
	p,q,l,r=map(int,stdin.readline().split())
	a=[]
	b=[]
	visited=list(0 for x in range(r-l+1))
	#print(visited)	
	for i in range(p):
		x,y=map(int,stdin.readline().split())
		a.append(x)
		b.append(y)
	for i in range(q):
		x,y=map(int,stdin.readline().split())
		x+=l
		y+=l
		for j in range(p):
			#print('x=',x,'y=',y)
			lower=max(0,a[j]-y)
			upper=min(b[j]-x,r)+1
			if upper > lower:
				delta=upper-lower
				#print('upper=',upper,'lower=',lower)
				visited[lower:upper]=list(1 for x in range(delta))
				#print('visited:\n',visited)
	#	print(visited)
	stdout.write(str(visited[:r-l+1].count(1)))
if __name__=='__main__':
	main()
'''
'''
def main():
	from sys import stdin,stdout
	#import numpy as np
	n,k=map(int,stdin.readline().split())
	a=tuple(map(int,stdin.readline().split()))
	minim=min(a)
	maxim=max(a)
	arr=list(a)	
	for i in range(n):
		arr[i]-=minim
	if max(arr) > k:
		stdout.write('NO')
	else:
		stdout.write('YES\n')
		for i in a:
			stdout.write('1 '*minim)
			for j in range(i-minim):
				stdout.write(str(j%k+1)+' ')
			stdout.write('\n')
if __name__=='__main__':
	main()
'''
'''
def main():
	from sys import stdin,stdout
	n,p=[],[]
	for _ in range(int(stdin.readline())):
		last=int(stdin.readline())
		if last<0:
			n.append(-1*last)
		else:
			p.append(last)
	if sum(p)>sum(n):
		stdout.write('first')
	elif sum(n)>sum(p):
		stdout.write('second')
	else:
		maxim=max(n,p)
		#print(maxim)
		if maxim==p:
			if maxim==n:
				if last<0:
					stdout.write('second')
				else:
					stdout.write('first')
			else:
				stdout.write('first')
		else:
			stdout.write('second')
		
if __name__=='__main__':
	main()
'''
#286C
'''
def main():
	from sys import stdin,stdout
	m,n=map(int,stdin.readline().split())
	minim=min(m,n)
	stdout.write(str(minim+1)+'\n')
	if n==minim:
		for i in range(minim+1):
			stdout.write(str(m)+' '+str(i)+'\n')
			m-=1
	else:
		for i in range(minim+1):
			stdout.write(str(i)+' '+str(n)+'\n')
			n-=1
if __name__=='__main__':
	main()
'''
#387B
'''
def main():
	from sys import stdin,stdout
	n,m=map(int,stdin.readline().split())
	a=tuple(map(int,stdin.readline().split()))
	b=tuple(map(int,stdin.readline().split()))
	i=0
	j=0
	while True:
		#print(i,j)
		if i>=n or j>=m:
			break
		if b[j]>=a[i]:
			i+=1
			j+=1
		else:
			j+=1
	stdout.write(str(n-i))
if __name__=='__main__':
	main()
'''
#365B
'''
def main():
	from sys import stdin,stdout
	n=int(stdin.readline())
	a=tuple(map(int,stdin.readline().split()))
	maxim=2
	count=2
	i=2
	while True:
		if i>=n:
			break
		if a[i]==a[i-1]+a[i-2]:
			count+=1
			maxim=max(count,maxim)
		else:
			count=2
		i+=1
	stdout.write(str(min(maxim,n)))
if __name__=='__main__':
	main()
'''	#474D
'''
def main():
	from sys import stdin,stdout
	MOD=int(1e9)+7
	T,k=map(int,stdin.readline().split())
	fib=[x for x in range(1,k+1)]
	for i in range(k,100001):
		fib.append((fib[i-1]+fib[i-k]+1)%MOD)
	for _ in range(T):
		a,b=map(int,stdin.readline().split())
		stdout.write(str((fib[b]-fib[a-1])%MOD)+'\n')
if __name__=='__main__':
	main()
'''
#330B
#not working
'''
def main():
	from sys import stdin,stdout
	import collections
	road_not=collections.defaultdict(set)
	n,m=map(int,stdin.readline().split())
	for _ in range(m):
		a,b=map(int,stdin.readline().split())
		road_not[a].add(b)
		road_not[b].add(a)
	counter=0
	road=collections.defaultdict(set)
	visited=[0 for x in range(n)]
	visited[0]=True
	for index in range(1,n+1):
		for i in range(1,n+1):
			if not visited[i-1]:
				if i not in road_not[index] and i!=index:
					counter+=1
					road[index].add(i)
					visited[i-1]=True
	stdout.write(str(counter)+'\n')
	for i in road:
		for j in road[i]:
			stdout.write(str(i)+' '+str(j)+'\n')
if __name__=='__main__':
	main()
'''
#208D
'''
def main():
	from sys import stdin,stdout
	import bisect
	n=int(stdin.readline())
	p=tuple(map(int,stdin.readline().split()))
	P=tuple(map(int,stdin.readline().split()))
	record=[0 for x in range(5)]
	points=0
	for i in p:
		points+=i
		while points>=P[0]:
			index=bisect.bisect_right(P,points)
			if index:
				index-=1
				number=points//P[index]
				record[index]+=number
				points-=P[index]*number
	for i in record:
		stdout.write(str(i)+' ')
	stdout.write('\n'+str(points))
if __name__=='__main__':
	main()
'''
#339D Using Al.Cash's Segment Trees
#Segment Tree
#not-working
'''
powers=1
t=[0 for x in range(3*int(1e5))]
def build(n):
	global t,powers
	flag=False
	for i in range(n-1,0,-1):
		if i==powers-1:
			flag=not flag
			powers>>=1
		if flag:
			t[i]=t[i<<1]^t[i<<1|1]
		else:
			t[i]=t[i<<1]|t[i<<1|1]

def modify(i,v,n):
	global t
	flag=False
	if t[i+n-1]==v or v|t[(i+n-1)^1]==t[(i+n-1)>>1]:
		#print('skipped')
		#print('t[i+n-1]=',t[i+n-1],'v=',v)
		#print('v|t[(i+n-1)^1]=',v|t[(i+n-1)^1],'t[(i+n-1)>>1]',t[(i+n-1)>>1])		
		t[i+n-1]=v		
		return
	t[i+n-1]=v
	p=i+n-1
	while p>1:
		if flag:
			if t[p>>1]==t[p]^t[p^1]:
				break
			t[p>>1]=t[p]^t[p^1]
			flag=not flag
		else:
			if t[p>>1]==t[p]|t[p^1]:
				break
			t[p>>1]=t[p]|t[p^1]
			flag=not flag
		p>>=1

def main():
	from sys import stdin,stdout
	global t,powers
	n,m=map(int,stdin.readline().split())
	p=tuple(map(int,stdin.readline().split()))
	powers=1<<(n-1)	
	n=1<<(n)	
	for i in range(n):
		t[i+n]=p[i]
	build(n)
	#print(t[:2*n])
	for _ in range(m):
		a,b=map(int,stdin.readline().split())
		modify(a,b,n)
		#print(t[:2*n])
		stdout.write(str(t[1])+'\n')
if __name__=='__main__':
	main()
'''
#330B
'''
def main():
	from sys import stdin,stdout
	n,m=map(int,stdin.readline().split())
	start_not=set()
	for _ in range(m):
		a,b=map(int,stdin.readline().split())
		start_not.add(a-1)
		start_not.add(b-1)
	visited=[False for _ in  range(n)]
	for i in range(n):
		if i not in start_not:
			center=i
			break
	stdout.write(str(n-1)+'\n')
	for i in range(n):
		if i != center:
			stdout.write(str(center+1)+' '+str(i+1)+'\n')
if __name__=='__main__':
	main()
'''
#116B
'''
def main():
	from sys import stdin,stdout
	n,m=map(int,stdin.readline().split())
	arr=[]
	for _ in range(n):
		arr.append(stdin.readline().strip())
	pigs=set()
	count=0
	for i in range(n):
		for j in range(m):
			if arr[i][j]=='W':
				flag=0
				if i>0:
					if arr[i-1][j]=='P':
						pigs.add((i-1,j))
						flag=1
				if i<n-1:
					if arr[i+1][j]=='P':
						pigs.add((i+1,j))
						flag=1
				if 	j>0:
					if arr[i][j-1]=='P':
						pigs.add((i,j-1))
						flag=1
				if j<m-1:
					if arr[i][j+1]=='P':
						pigs.add((i,j+1))
						flag=1
				if flag:
					count+=1
	stdout.write(str(min(len(pigs),count)))
if __name__=='__main__':
	main()
'''
#339D using Al.Cash's Segment Tree Implementation
'''
def main():
	from sys import stdin,stdout
	answers=()
	n,m=map(int,stdin.readline().split())
	p=tuple(map(int,stdin.readline().split()))
	powers=1<<(n-1)
	n=powers<<1
	t=[0 for _ in range(n<<1)]
	for i in range(n):
		t[n+i]=p[i]
	flag=False
	for i in range(n-1,0,-1):
		if i==powers-1:
			flag=not flag
			powers>>=1
		if flag:
			t[i]=t[i<<1]^t[i<<1|1]
		else:
			t[i]=t[i<<1]|t[i<<1|1]
	for _ in range(m):
		a,b=map(int,stdin.readline().split())
		flag=False
		if t[a+n-1]==b or b|t[(a+n-1)^1]==t[(a+n-1)>>1]:
			t[a+n-1]=b
		else:
			t[a+n-1]=b
			p=a+n-1
			while p > 1:
				if flag:
					if t[p>>1]==t[p]^t[p^1]:
						break
					t[p>>1]=t[p]^t[p^1]
					flag=not flag
				else:
					if t[p>>1]==t[p]|t[p^1]:
						break
					t[p>>1]=t[p]|t[p^1]
					flag= not flag
				p>>=1
		stdout.write(str(t[1])+'\n')
if __name__=='__main__':
	main()
'''
#515C
'''
def main():
	from sys import stdin,stdout
	import collections
	nc=[0 for x in range(10)]
	n=int(stdin.readline())
	num=stdin.readline().strip()
	for i in num:
		k=int(i)
		if k==9:
			nc[7]+=1
			nc[3]+=2
			nc[2]+=1
		elif k==8:
			nc[7]+=1
			nc[2]+=3
		elif k==7:
			nc[7]+=1
		elif k==6:
			nc[5]+=1
			nc[3]+=1
		elif k==5:
			nc[5]+=1
		elif k==4:
			nc[3]+=1
			nc[2]+=2
		elif k==3:
			nc[3]+=1
		elif k==2:
			nc[2]+=1
	ans=''
	for i in range(10):
		ans+=str(9-i)*nc[9-i]
	stdout.write(ans)		
if __name__=='__main__':
	main()
'''
#313B
'''
def main():
	from sys import stdin,stdout
	s=stdin.readline().strip()
	flag=s[0]
	if flag=='.':
		anti='#'
	else:
		anti='.'
	n=len(s)
	l=[0 for x in range(n)]
	for i in range(1,n):
		if s[i]==flag:
			l[i]=l[i-1]+1
		else:
			flag,anti=anti,flag
			l[i]=l[i-1]
	#print(l)
	for _ in range(int(stdin.readline())):
		a,b=map(int,stdin.readline().split())
		stdout.write(str(l[b-1]-l[a-1])+'\n')
if __name__=='__main__':
	main()
'''
#431C
'''
def main():
	from sys import stdin,stdout
	MOD=int(1e9)+7
	n,k,d=map(int,stdin.readline().split())
	d-=1
	klist=[(1<<i)%MOD for i in range(k)]
	klist=[1]+klist
	for i in range(k+1,n+1):
		klist.append((klist[i-1]*2-klist[i-1-k])%MOD)
	if d:	
		dlist=[(1<<i)%MOD for i in range(d)]
		dlist=[1]+dlist
		for i in range(d+1,n+1):
			dlist.append((dlist[i-1]*2-dlist[i-1-d])%MOD)
	#print(klist)
	#print(dlist)
		ans=klist[n]-dlist[n]
	else:
		ans=klist[n]
	stdout.write(str(ans%MOD))
if __name__=='__main__':
	main()
'''
#441C
'''
def main():
	from sys import stdin,stdout
	n,m,k=map(int,stdin.readline().split())
	if n>=m:
		i=-1
		j=-1
		num=n*m
		while k:
			ans=num//k
			stdout.write(str(ans)+' ')
			counter=0
			while counter<ans:
				if j==-1:
					flag=True
					i+=1
					j+=1
				if j==m:
					flag=False
					i+=1
					j-=1
				stdout.write(str(i+1)+' '+str(j+1)+' ')
				if flag:
					j+=1
				else:
					j-=1
				counter+=1
			num-=ans
			k-=1
			stdout.write('\n')
	else:
		i=-1
		j=-1
		num=n*m
		while k:
			ans=num//k
			stdout.write(str(ans)+' ')
			counter=0
			while counter<ans:
				if i==-1:
					flag=True
					j+=1
					i+=1
				if i==n:
					flag=False
					j+=1
					i-=1
				stdout.write(str(i+1)+' '+str(j+1)+' ')
				if flag:
					i+=1
				else:
					i-=1
				counter+=1
			num-=ans
			k-=1
			stdout.write('\n')
if __name__=='__main__':
	main()
'''
#538B
'''
def main():
	from sys import stdin,stdout
	n=int(stdin.readline())
	ans=[]
	while n:
		t=''
		num=str(n)
		for i in num:
			if int(i):
				t+='1'
			else:
				t+='0'
		ans.append(t)
		n-=int(t)
	stdout.write(str(len(ans))+'\n')
	for i in ans:
		stdout.write(i+' ')
if __name__=='__main__':
	main()
'''
#486C
#not working
'''
def main():
	from sys import stdin,stdout
	n,o=map(int,stdin.readline().split())
	string=stdin.readline().strip()
	if n & 1:
		s1=string[:n//2]
		s2=string[n//2+1:]
		rev=s2[::-1]
		minim=0
		indexlist=[]
		for i in range(n//2):
			k=ord(s[i])-ord(rev[i])
			minim=min(k,26-k)
			indexlist.append(i)
		if o>n//2:
		else:
			o-=1
				
	else:
		s1=string[:n//2+1]
		s2=string[n//2+1:]
		rev=s2[::-1]
		minim=0
		indexlist=[]
		for i in range(n//2):
			k=ord(s[i])-ord(rev[i])
			minim=min(k,26-k)
			indexlist.append(i)
		if o > n//2:
			o=o-n//2-1
		else:
			o-=1
		if len(indexlist):
			if len(indexlist)>1:
				minim+=min(abs(o-indexlist[0]),abs(o-indexlist[-1]))+(indexlist[-1]-indexlist[0])
			else:
				minim+=indexlist[0]-o
		stdout.write(str(minim))
if __name__=='__main__':
	main()
'''
#4B
def main():	
	from sys import stdin,stdout
	n,sumtime=map(int,stdin.readline().split())
	a,b=[],[]
	for i in range(n):
		x,y=map(int,stdin.readline().split())
		a.append(x)
		b.append(y)
	if sum(b)<sumtime or sum(a)>sumtime:
		stdout.write('NO')
	else:
		stdout.write('YES\n')
		diff=sumtime-sum(a)
		for i in range(n):
			if diff:
				k=b[i]-a[i]
				minim=min(k,diff)
				a[i]+=minim
				diff-=minim
		for i in a:
			stdout.write(str(i)+' ')
if __name__=='__main__':
	main()