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2022-10-05
codeforces 295a Greg and Array
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 做两个差分 就好 注意下 因为 我们最后要针对数值进行前缀和累加,所以我们应该一开始就处理出
他们的前缀和 第二次差分的时候应该在前缀和基础上差分
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