Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di.

Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array.

Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg.

Input

The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array.

Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105).

Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m).

The numbers in the lines are separated by single spaces.

Output

On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces.

Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier.

Examples

Input

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


Output

9 18 17


Input

1 1 1
1
1 1 1
1 1


Output

2


Input

4 3 6
1 2 3 4
1 2 1
2 3 2
3 4 4
1 2
1 3
2 3
1 2
1 3
2 3


Output

5 18 31 20
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
##################################
# University of Wisconsin-Madison
# Author: Yaqi Zhang
##################################

# standard library
import sys

def main():
    n, m, k = map(int, input().split())
    nums = list(map(int, input().split()))
    pre_reps = [0] * (m + 1)
    ops = []
    for _ in range(m):
        l, r, d = map(int, input().split())
        ops.append((l - 1, r - 1, d))
    for _ in range(k):
        x, y = map(int, input().split())
        x -= 1
        y -= 1
        pre_reps[x] += 1
        pre_reps[y + 1] -= 1
    cur = 0
    add = [0] * (n + 1)
    for i, (l, r, d) in enumerate(ops):
        cur += pre_reps[i]
        add[l] += d * cur
        add[r + 1] -= d * cur
    cur = 0
    ans = []
    for i, num in enumerate(nums):
        cur += add[i]
        ans.append(num + cur)
    print(' '.join(map(str, ans)))


if __name__ == "__main__":
    main()

