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ANTP - Mr. Ant & His Problem |
Mr. Ant has 3 boxes and the infinite number of marbles. Now he wants to know the number of ways he can put marbles in these three boxes when the following conditions hold.
1) Each box must contain at least 1 marble.
2) The summation of marbles of the 3 boxes must be in between X and Y inclusive.
Now you are given X and Y. You have to find the number of ways Mr. Ant can put marbles in the 3 boxes.
Input
Input starts with an integer T, denoting the number of test cases. Each test case contains two integers X and Y.
Constraints
1<=T<=1000000
1<=X<= Y<=1000000
Output
For each test case, print the required answer modulo 1000000007.
Sample Input |
Sample Output |
1 4 5 |
9 |
Explanation for the first test case
1 | 1 | 2 |
Way 01
1 | 1 | 3 |
Way 02
1 | 2 | 1 |
Way 03
1 | 3 | 1 |
Way 04
2 | 1 | 1 |
Way 05
3 | 1 | 1 |
Way 06
1 | 2 | 2 |
Way 07
2 | 1 | 2 |
Way 08
2 | 2 | 1 |
Way 09
Note: use faster i/o method.
Problem Setter: Md Abdul Alim, Dept. of Computer Science, Bangladesh University of Business & Technology
Added by: | Alim |
Date: | 2016-04-01 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 GOSU JS-MONKEY |
Resource: | Own Problem |
hide comments
2018-04-29 04:39:46
I want to know FFT is ok? |
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2016-08-14 15:37:20 Sidharth Sikri
can someone tell me, why am i getting a WA for my code -- http://ideone.com/4POTiA my code passes the sample test case and also the test cases given here by @nhari |
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2016-05-21 18:18:47
5 2 10 5 26 23 59 100 500 30 89 answers are: 120 2596 30969 20551651 109910 |
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2016-04-11 00:18:02
intersting but irritating ..(^_^) |
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2016-04-03 16:50:44 Jitesh
@aqua_regia. answer will be 0. |
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2016-04-03 10:57:58
Are there any special test cases. What if x=1 y=2 ? Is the answer 0 or 1. And provide some additional test cases. |