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## 1491. Unreal Story

Time limit: 1.0 second
Memory limit: 64 MB
You won't believe it, but once, in ancient times, there happened the following story. At a meeting of the Round Table, King Arthur stood up and said: “Let each knight sitting on my right not farther than b places and not nearer than a places receive from me c gold coins.” If we number the knights from 1 to N counter-clockwise so that the knight sitting on Arthur's right is numbered 1 and the knight sitting on Arthur's left is numbered N, then we have that the king gave c gold coins to the knights with numbers a, a + 1, …, b.
Having looked at Arthur's generous deed, the noble knights started to stand up one after another and tell their three numbers ai, bi, ci (1 ≤ i ≤ N). After each of these utterances, the knights with numbers from ai to bi received ci gold coins each from the king.
Since each knight was very noble, either ai > i or bi < i. You task is to help the knights to learn how many gold coins each of them received.

### Input

The first line contains the number of King Arthur's knights N (2 ≤ N ≤ 100000). In the next line, there are integers a, b, and c, which the king said (1 ≤ a ≤ b ≤ N; 1 ≤ c ≤ 10000). Each of the next N lines contains three integers ai, bi, ci, which the ith knight said (1 ≤ ai ≤ bi ≤ N; 1 ≤ ci ≤ 10000).

### Output

Output N numbers separated with a space. The ith number is the number of gold coins received by the ith knight.

### Samples

inputoutput
```4
2 3 2
2 4 1
3 4 1
1 2 1
1 1 1
```
```2 4 4 2
```
```7
1 7 1
2 3 4
3 5 3
1 2 1
5 7 4
2 4 10
3 4 2
1 6 3
```
```5 19 23 19 11 8 5
```
Problem Author: Alexander Toropov
Problem Source: XIII-th USU Junior Contest, October 2006
Tags: none