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.
import math
t=1
for _ in range(t):
    a=list(map(int, input().split()))
    n=a[0]
    m=a[1]
    k=a[2]
    a=list(map(int,input().split()))
    ops=[0]
    for i in range(m):
        ops.append(list(map(int,input().split())))
    query=[0]*(m+1)
    for i in range(k):
        q=list(map(int, input().split()))
        query[q[0]]+=1
        if(q[1]+1<=m):
            query[q[1]+1]-=1
    summ=0
    for i in range(1,m+1):
        summ+=query[i]
        query[i]=summ
    aa=[0]*n
    for i in range(1,m+1):
        op=ops[i]
        l=op[0]
        r=op[1]
        d=op[2]
        aa[l-1]+=d*query[i]
        if(r<n):
            aa[r]-=d*query[i]
    summ=0
    for i in range(n):
        summ+=aa[i]
        aa[i]=summ
    for i in range(n):
        a[i]=a[i]+aa[i]
    print(*a)
        
    
    
        
        