#include <bits/stdc++.h>
using namespace std;
const int NMAX = 100005;
struct query {
  long long l, r, val;
} q[NMAX];
long long n, m, k, i, j, b[NMAX], st, dr;
long long sir[NMAX], aux, B[NMAX];
int main() {
  scanf("%I64d%I64d%I64d", &n, &m, &k);
  for (i = 1; i <= n; i++) scanf("%I64d", &sir[i]);
  for (i = 1; i <= m; i++)
    scanf("%I64d%I64d%I64d", &q[i].l, &q[i].r, &q[i].val);
  for (i = 1; i <= k; i++) {
    scanf("%I64d%I64d", &st, &dr);
    b[st]++;
    b[dr + 1]--;
  }
  for (i = 1; i <= m; i++) {
    aux += b[i];
    q[i].val *= aux;
    st = q[i].l;
    dr = q[i].r;
    B[st] += q[i].val;
    B[dr + 1] -= q[i].val;
  }
  for (aux = 0, i = 1; i <= n; i++) {
    aux += B[i];
    printf("%I64d ", sir[i] + aux);
  }
  return 0;
}

### Prompt

Your task is to create a Cpp solution to the following problem:

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

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const int NMAX = 100005;
struct query {
  long long l, r, val;
} q[NMAX];
long long n, m, k, i, j, b[NMAX], st, dr;
long long sir[NMAX], aux, B[NMAX];
int main() {
  scanf("%I64d%I64d%I64d", &n, &m, &k);
  for (i = 1; i <= n; i++) scanf("%I64d", &sir[i]);
  for (i = 1; i <= m; i++)
    scanf("%I64d%I64d%I64d", &q[i].l, &q[i].r, &q[i].val);
  for (i = 1; i <= k; i++) {
    scanf("%I64d%I64d", &st, &dr);
    b[st]++;
    b[dr + 1]--;
  }
  for (i = 1; i <= m; i++) {
    aux += b[i];
    q[i].val *= aux;
    st = q[i].l;
    dr = q[i].r;
    B[st] += q[i].val;
    B[dr + 1] -= q[i].val;
  }
  for (aux = 0, i = 1; i <= n; i++) {
    aux += B[i];
    printf("%I64d ", sir[i] + aux);
  }
  return 0;
}

```