線段樹 + 區間更新： HDU 4893 Wow! Such Sequence!Wow! Such Sequence!

Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)

Total Submission(s): 2234    Accepted Submission(s): 657

Problem Description

Recently, Doge got a funny birthday present from his new friend, Protein Tiger from St. Beeze College. No, not cactuses. It's a mysterious blackbox.

After some research, Doge found that the box is maintaining a sequence an of n numbers internally, initially all numbers are zero, and there are THREE "operations":

1.Add d to the k-th number of the sequence.

2.Query the sum of ai where l ≤ i ≤ r.

3.Change ai to the nearest Fibonacci number, where l ≤ i ≤ r.

4.Play sound "Chee-rio!", a bit useless.

Let F0 = 1,F1 = 1,Fibonacci number Fn is defined as Fn = Fn - 1 + Fn - 2 for n ≥ 2.

Nearest Fibonacci number of number x means the smallest Fn where |Fn - x| is also smallest.

Doge doesn't believe the machine could respond each request in less than 10ms. Help Doge figure out the reason.

Input

Input contains several test cases, please process till EOF.

For each test case, there will be one line containing two integers n, m.

Next m lines, each line indicates a query:

1 k d - "add"

2 l r - "query sum"

3 l r - "change to nearest Fibonacci"

1 ≤ n ≤ 100000, 1 ≤ m ≤ 100000, |d| < 231, all queries will be valid.

Output

For each Type 2 ("query sum") operation, output one line containing an integer represent the answer of this query.

Sample Input

1 1

2 1 1

5 4

1 1 7

1 3 17

3 2 4

2 1 5

Sample Output

22

Author

Fudan University

Source

<a href="http://acm.hdu.edu.cn/search.php?field=problem&amp;key=2014%20Multi-University%20Training%20Contest%203&amp;source=1&amp;searchmode=source">2014 Multi-University Training Contest 3</a>

【題目分析】

這題相比于裸的線段樹區間更新有了一些難度。

我們在每個結點中設一個fib，表示離sum最近的fibnacci數，每次區間更新時，就将sum的值更新為fib。fib的值隻有在單點更新的過程中才會改變，也就是說當sum值改變的時候fib才改變，因為當sum變為fib後，離sum最近的fibnacci數還是fib值。

lazy----記錄該點以下的孩子結點是否需要更新。

我用long long ,然後用了%lld輸入，不知道杭電不支援%lld，debug了半天，TLE了20多次，後來改%lld為%I64d就過了，哭死QAQ...