Heidi and Doctor Who hopped out of the TARDIS and found themselves at EPFL in 2018. They were surrounded by stormtroopers and Darth Vader was approaching. Miraculously, they managed to escape to a nearby rebel base but the Doctor was very confused. Heidi reminded him that last year's HC2 theme was Star Wars. Now he understood, and he's ready to face the evils of the Empire!

The rebels have s spaceships, each with a certain attacking power a.

They want to send their spaceships to destroy the empire bases and steal enough gold and supplies in order to keep the rebellion alive.

The empire has b bases, each with a certain defensive power d, and a certain amount of gold g.

A spaceship can attack all the bases which have a defensive power less than or equal to its attacking power.

If a spaceship attacks a base, it steals all the gold in that base.

The rebels are still undecided which spaceship to send out first, so they asked for the Doctor's help. They would like to know, for each spaceship, the maximum amount of gold it can steal.

Input

The first line contains integers s and b (1 ≤ s, b ≤ 10^5), the number of spaceships and the number of bases, respectively.

The second line contains s integers a (0 ≤ a ≤ 10^9), the attacking power of each spaceship.

The next b lines contain integers d, g (0 ≤ d ≤ 10^9, 0 ≤ g ≤ 10^4), the defensive power and the gold of each base, respectively.

Output

Print s integers, the maximum amount of gold each spaceship can steal, in the same order as the spaceships are given in the input.

Example

Input


5 4
1 3 5 2 4
0 1
4 2
2 8
9 4


Output


1 9 11 9 11

Note

The first spaceship can only attack the first base.

The second spaceship can attack the first and third bases.

The third spaceship can attack the first, second and third bases.
"""                         
Beautiful is better than ugly.
    Explicit is better than implicit.
Simple is better than complex.
    Complex is better than complicated.
Flat is better than nested.
    Sparse is better than dense.
                    
    * Readability counts *

 // Author : raj1307 - Raj Singh
 // Date   : 7.07.19

"""

from __future__ import division, print_function
import os,sys
from io import BytesIO, IOBase

if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip
else:
    _str = str
    str = lambda x=b"": x if type(x) is bytes else _str(x).encode()

def ii(): return int(input())
def si(): return input()
def mi(): return map(int,input().strip().split(" "))
def li(): return list(mi())

def dmain():
    sys.setrecursionlimit(100000000)
    threading.stack_size(40960000)
    thread = threading.Thread(target=main)
    thread.start()
    
#from collections import deque, Counter, OrderedDict,defaultdict
#from heapq import nsmallest, nlargest, heapify,heappop ,heappush, heapreplace
#from math import ceil,floor,log,sqrt,factorial,pow,pi
#from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
#from decimal import *,threading
#from itertools import permutations

abc='abcdefghijklmnopqrstuvwxyz'
abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25}
mod,MOD=1000000007,998244353
vow=['a','e','i','o','u']
dx,dy=[-1,1,0,0],[0,0,1,-1]
def getKey(item): return item[0] 
def sort2(l):return sorted(l, key=getKey)
def d2(n,m,num):return [[num for x in range(m)] for y in range(n)]
def isPowerOfTwo (x): return (x and (not(x & (x - 1))) )
def decimalToBinary(n): return bin(n).replace("0b","")
def ntl(n):return [i for i in str(n)]

def powerMod(x,y,p):
    res = 1
    x %= p
    while y > 0:
        if y&1:
            res = (res*x)%p
        y = y>>1
        x = (x*x)%p1
    return res

def gcd(x, y):
    while y:
        x, y = y, x % y
    return x
    
def isPrime(n) : # Check Prime Number or not 
    if (n <= 1) : return False
    if (n <= 3) : return True
    if (n % 2 == 0 or n % 3 == 0) : return False
    i = 5
    while(i * i <= n) : 
        if (n % i == 0 or n % (i + 2) == 0) : 
            return False
        i = i + 6
    return True


# For getting input from input.txt file 
#sys.stdin = open('input.txt', 'r')  
  
# Printing the Output to output.txt file 
#sys.stdout = open('output.txt', 'w') 

    

def main():
    
    
    n,m=mi()
    
    s=li()
    
    l=[]
    d={}
    a=[]
    
    for i in range(n):
        a.append(s[i])
    
    a.sort()
    
    for i in range(n):
        d[a[i]]=0
    
    
    
    
    for i in range(m):
        l.append(li())
        
    l=sort2(l)
    
    c=0
    i=0
    j=0
    
    
    while(j<m and i<n):
    
        if a[i]>=l[j][0]:
            c+=l[j][1]
            j+=1
          
        else:
            
            d[a[i]]=c
            i+=1
    
    
    if i!=n:
        for j in range(i,n):
            
            d[a[j]]=c
    
    #print(d)
    
    for i in range(n):
        print(d[s[i]],end=' ')
    
    
    
    
    




# region fastio

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        if self.buffer.tell():
            return self.buffer.read()
        return os.read(self._fd, os.fstat(self._fd).st_size)

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", b" "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", b"\n"))
    if kwargs.pop("flush", False):
        file.flush()


sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
input = lambda: sys.stdin.readline().rstrip(b"\r\n")

# endregion

if __name__ == "__main__":
    main()
    #dmain()