LogiQuest

441. Corporate Flight Bookings

MediumPrefix Sum

There are n flights numbered 1..n. Each booking reserves seats on every flight from first to last. Print the total seats on each flight.

Input format

Line 1: n m Next m lines: first last seats

Output format

n totals.

Example 1

Input

5 3
1 2 10
2 3 20
2 5 25

Output

10 55 45 25 25

Example 2

Input

2 2
1 2 10
2 2 15

Output

10 25

Constraints

1 ≤ n, m ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 3 test cases, most of them hidden.

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