You are given an array a consisting of n integers. You have to process q queries to this array; each query is given as four numbers l, r, x and y, denoting that for every i such that l ≤ i ≤ r and ai = x you have to set ai equal to y.

Print the array after all queries are processed.

Input

The first line contains one integer n (1 ≤ n ≤ 200000) — the size of array a.

The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 100) — the elements of array a.

The third line contains one integer q (1 ≤ q ≤ 200000) — the number of queries you have to process.

Then q lines follow. i-th line contains four integers l, r, x and y denoting i-th query (1 ≤ l ≤ r ≤ n, 1 ≤ x, y ≤ 100).

Output

Print n integers — elements of array a after all changes are made.

Example

Input

5
1 2 3 4 5
3
3 5 3 5
1 5 5 1
1 5 1 5


Output

5 2 5 4 5 
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("sse2")
using namespace std;
const int N = 2e5 + 5;
int n, q, l, r;
unsigned char a[N], x, y;
int main() {
  scanf("%d", &n);
  for (int i = 1; i <= n; i++) scanf("%hhu", &a[i]);
  scanf("%d", &q);
  while (q--) {
    scanf("%d%d%hhu%hhu", &l, &r, &x, &y);
    for (int i = l; i <= r; i++)
      if (a[i] == x) a[i] = y;
  }
  for (int i = 1; i <= n; i++) printf("%hhu ", a[i]);
  return 0;
}
