GSS4 - Can you answer these queries IV


You are given a sequence A of N(N <= 100,000) positive integers. There sum will be less than 1018. On this sequence you have to apply M (M <= 100,000) operations:

(A) For given x,y, for each elements between the x-th and the y-th ones (inclusively, counting from 1), modify it to its positive square root (rounded down to the nearest integer).

(B) For given x,y, query the sum of all the elements between the x-th and the y-th ones (inclusively, counting from 1) in the sequence.

Input

Multiple test cases, please proceed them one by one. Input terminates by EOF.

For each test case:

The first line contains an integer N. The following line contains N integers, representing the sequence A1..AN.
The third line contains an integer M. The next M lines contain the operations in the form "i x y".i=0 denotes the modify operation, i=1 denotes the query operation.

Output

For each test case:

Output the case number (counting from 1) in the first line of output. Then for each query, print an integer as the problem required.

Print an blank line after each test case.

See the sample output for more details.

Example

Input:
5
1 2 3 4 5
5
1 2 4
0 2 4
1 2 4
0 4 5
1 1 5
4
10 10 10 10
3
1 1 4
0 2 3
1 1 4

Output:
Case #1:
9
4
6

Case #2:
40
26


hide comments
phoemur: 2018-10-21 01:35:17

Don't forget edge cases, when a query(l, r) has l > r;
Costed me 4 WA

tawhidkuet04: 2018-10-10 08:49:57

This problem also can be solved using the same trick
http://codeforces.com/contest/920/problem/F

tanardi gunawan: 2018-10-04 10:26:01

just pruning got ac

shizukaa: 2018-07-29 12:40:53

Key points:
1) Make your array long long instead of int. Type checking taking longer time I guess.
2) Use scanf and printf instead of cin and cout.

minhazul_islam: 2018-04-20 07:28:30

@Riddhi EOF is == -1. While thinks it as TRUE. So, after getting the last number while loop won't stop. As a result scanf will try again to take a number but there is nothing left to take input in judge data. Thus you program will cause a RTE.

Last edit: 2018-04-20 07:28:54
Riddhi: 2018-04-19 11:31:55

didn't know that <while(scanf("%d", &n))> gives runtime error
but <while(scanf("%d", &n)!=EOF)> does not.

mahmoud_16: 2018-03-22 21:33:54

hello,can anyone make an editorial for this problem or poste his solution

sadman2901: 2018-01-15 16:27:36

Good problem, learned new things :)

kmkhan_014: 2017-12-17 15:09:01

Last edit: 2018-02-25 14:00:42
dp_v1: 2017-11-15 19:02:35

nice Ques.


Added by:Fudan University Problem Setters
Date:2008-05-21
Time limit:0.5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: C99 ERL JS-RHINO PERL6
Resource:Own problem, used in ACM/ICPC Regional Contest, Shanghai 2011 preliminary