Greg has an array a = a_1, a_2, ..., a_{n} and m operations. Each operation looks as: l_{i}, r_{i}, d_{i}, (1 ≤ l_{i} ≤ r_{i} ≤ n). To apply operation i to the array means to increase all array elements with numbers l_{i}, l_{i} + 1, ..., r_{i} by value d_{i}.

Greg wrote down k queries on a piece of paper. Each query has the following form: x_{i}, y_{i}, (1 ≤ x_{i} ≤ y_{i} ≤ m). That means that one should apply operations with numbers x_{i}, x_{i} + 1, ..., y_{i} 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 ≤ 10^5). The second line contains n integers: a_1, a_2, ..., a_{n} (0 ≤ a_{i} ≤ 10^5) — the initial array.

Next m lines contain operations, the operation number i is written as three integers: l_{i}, r_{i}, d_{i}, (1 ≤ l_{i} ≤ r_{i} ≤ n), (0 ≤ d_{i} ≤ 10^5).

Next k lines contain the queries, the query number i is written as two integers: x_{i}, y_{i}, (1 ≤ x_{i} ≤ y_{i} ≤ m).

The numbers in the lines are separated by single spaces.


-----Output-----

On a single line print n integers a_1, a_2, ..., a_{n} — 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

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "n, m, k = map(int, input().split())\nt = list(map(int, input().split()))\np = [tuple(map(int, input().split())) for i in range(m)]\n\nr, s = [0] * (m + 1), [0] * (n + 1)\nR, S = 0, 0\n\nfor i in range(k):\n    x, y = map(int, input().split())\n    r[x - 1] += 1\n    r[y] -= 1\n\nfor i, (x, y, d) in enumerate(p):\n    R += r[i]\n    d = d * R\n    s[x - 1] += d\n    s[y] -= d\n\nfor i in range(n):\n    S += s[i]\n    t[i] = str(t[i] + S)\n\nprint(' '.join(map(str, t)))"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13507