Problem:
Score : 300 points

Problem Statement

Given is a sequence of integers A_1, A_2, ..., A_N.
If its elements are pairwise distinct, print YES; otherwise, print NO.

Constraints

2 ≤ N ≤ 200000

1 ≤ A_i ≤ 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 ... A_N

Output

If the elements of the sequence are pairwise distinct, print YES; otherwise, print NO.

Sample Input 1

5
2 6 1 4 5

Sample Output 1

YES

The elements are pairwise distinct.

Sample Input 2

6
4 1 3 1 6 2

Sample Output 2

NO

The second and fourth elements are identical.

Sample Input 3

2
10000000 10000000

Sample Output 3

NO

Solution in C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>

#define MAX_N 200001

void merge_sort (long int array[], int left, int right){
  int i, j, k, mid;
  int work[MAX_N]; 
  if (left < right){
    mid = (left + right)/2; 
    merge_sort(array, left, mid);  
    merge_sort(array, mid+1, right);  
    for (i = mid; i >= left; i--) { work[i] = array[i]; } 
    for (j = mid+1; j <= right; j++) {
      work[right-(j-(mid+1))] = array[j]; 
    i = left; j = right;
    for (k = left; k <= right; k++) {
      if (work[i] < work[j]) { array[k] = work[i++]; }
      else                   { array[k] = work[j--]; }
    }
    }
  }
}

int main(void){

    long int N,A[MAX_N],i;

    scanf("%ld",&N);
    for(i = 0;i < N;i++){
        scanf("%ld",&A[i]);
    }

    merge_sort(A,0,N-1);

    for(i = 1;i < N;i++){
        if(A[i] == A[i-1]){
            printf("NO\n");
            return 0;
        }
    }

    printf("YES\n");
    return 0;
}