A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.

Input

The first line contains a positive integer n (1 ≤ n ≤ 100), then follow n lines containing three integers each: the xi coordinate, the yi coordinate and the zi coordinate of the force vector, applied to the body ( - 100 ≤ xi, yi, zi ≤ 100).

Output

Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.

Examples

Input

3
4 1 7
-2 4 -1
1 -5 -3


Output

NO

Input

3
3 -1 7
-5 2 -4
2 -1 -3


Output

YES
n = int(input())
sum_x = sum_y = sum_z = 0
for i in range(n):
    x, y, z = (int(s) for s in input().split())
    sum_x += x; sum_y += y; sum_z += z
print("YES" if sum_x == sum_y == sum_z == 0 else "NO")


# 8888888     888 d8b          888                     d8b                   888         d8b      888 d8b          888             
#   888       888 Y8P          888                     Y8P                   888         Y8P      888 Y8P          888             
#   888       888              888                                           888                  888              888             
#   888   .d88888 888  .d88b.  888888 .d8888b         8888 888  888 .d8888b  888888      888  .d88888 888  .d88b.  888888 .d8888b  
#   888  d88" 888 888 d88""88b 888    88K             "888 888  888 88K      888         888 d88" 888 888 d88""88b 888    88K      
#   888  888  888 888 888  888 888    "Y8888b.         888 888  888 "Y8888b. 888         888 888  888 888 888  888 888    "Y8888b. 
#   888  Y88b 888 888 Y88..88P Y88b.       X88         888 Y88b 888      X88 Y88b.       888 Y88b 888 888 Y88..88P Y88b.       X88 
# 8888888 "Y88888 888  "Y88P"   "Y888  88888P'         888  "Y88888  88888P'  "Y888      888  "Y88888 888  "Y88P"   "Y888  88888P' 
#                                                      888                                                                         
#                                                     d88P                                                                         
#                                                   888P" 