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
n, m, k = [int(x) for x in raw_input().split()]
A = [int(x) for x in raw_input().split()]
dp_operations = [0 for _ in xrange(m + 1)]
dp_additions = [0 for _ in xrange(n + 1)]

LRD = []
for _ in xrange(m):
    LRD.append([int(x) for x in raw_input().split()])

XY = []
for _ in xrange(k):
    XY.append([int(x) for x in raw_input().split()])

for (x, y) in XY:
    dp_operations[y] -= 1
    dp_operations[x - 1] += 1

bless = 0
you = 0
for (l, r, d) in LRD:
    bless += dp_operations[you]
    you += 1
    dp_additions[r] -= d * bless
    dp_additions[l - 1] += d * bless

d = 0
for x in xrange(n):
    d += dp_additions[x]
    A[x] += d

print(" ".join(map(str, A)))

