Greg has an array *a* = *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> and *m* operations. Each operation looks as: *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub>, *d*<sub class="lower-index">*i*</sub>, (1 ≤ *l*<sub class="lower-index">*i*</sub> ≤ *r*<sub class="lower-index">*i*</sub> ≤ *n*). To apply operation *i* to the array means to increase all array elements with numbers *l*<sub class="lower-index">*i*</sub>, *l*<sub class="lower-index">*i*</sub> + 1, ..., *r*<sub class="lower-index">*i*</sub> by value *d*<sub class="lower-index">*i*</sub>.

Greg wrote down *k* queries on a piece of paper. Each query has the following form: *x*<sub class="lower-index">*i*</sub>, *y*<sub class="lower-index">*i*</sub>, (1 ≤ *x*<sub class="lower-index">*i*</sub> ≤ *y*<sub class="lower-index">*i*</sub> ≤ *m*). That means that one should apply operations with numbers *x*<sub class="lower-index">*i*</sub>, *x*<sub class="lower-index">*i*</sub> + 1, ..., *y*<sub class="lower-index">*i*</sub> to the array.

Now Greg is wondering, what the array *a* will be after all the queries are executed. Help Greg.
The first line contains integers *n*, *m*, *k* (1 ≤ *n*, *m*, *k* ≤ 10<sup class="upper-index">5</sup>). The second line contains *n* integers: *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> (0 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">5</sup>) — the initial array.

Next *m* lines contain operations, the operation number *i* is written as three integers: *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub>, *d*<sub class="lower-index">*i*</sub>, (1 ≤ *l*<sub class="lower-index">*i*</sub> ≤ *r*<sub class="lower-index">*i*</sub> ≤ *n*), (0 ≤ *d*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">5</sup>).

Next *k* lines contain the queries, the query number *i* is written as two integers: *x*<sub class="lower-index">*i*</sub>, *y*<sub class="lower-index">*i*</sub>, (1 ≤ *x*<sub class="lower-index">*i*</sub> ≤ *y*<sub class="lower-index">*i*</sub> ≤ *m*).

The numbers in the lines are separated by single spaces.
def vals(): return map(int, input().split())
n, m, k = vals(); arr = list(vals()); op = []; q = [0] * (k+2); pre = [0] * (m+5)
for i in range(m) : op.append(vals())
for i in range(k) : x, y = vals(); q[x]+= 1; q[y+1] -=1
for i in range(1,m+1) : q[i] += q[i-1]
for i in range(m) : l, r, d = op[i]; d *= max(q[i+1],1 ); pre[l] += d; pre[r+1] -= d 
for i in range(1,k+1) :pre[i] += pre[i-1]
for i in range(n) : arr[i] += pre[i+1]
print(*arr)