Login

Create Account
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Dynamic programming., Data Structure & Algorithms
Count Scorecards(30 points)
In a tournament, N players play against each other exactly once. Each game results in either of the player winning. There are no ties. You have given a scorecard containing the scores of each player at the end of the tournament. The score of a player is the total number of games the player won in the tournament. However, the scores of some players might have been erased from the scorecard. How many possible scorecards are consistent with the input scorecard?
Input:
The first line contains the number of cases T. T cases follow. Each case contains the number N on the first line followed by N numbers on the second line. The ith number denotes s_i, the score of the ith player. If the score of the ith player has been erased, it is represented by 1.
Output:
Output T lines, containing the answer for each case. Output each result modulo 1000000007.
Constraints:
1 <= T <= 20
1 <= N <= 40
1 <= s_i < N
Sample Input:
5
3
1 1 2
3
1 1 1
4
0 1 2 3
2
1 1
4
1 1 1 2
Sample Output:
2
7
1
0
12
Explanation:
For the first case, there are 2 scorecards possible: {0,1,2} or {1,0,2}.
For the second case, the valid scorecards are {1,1,1}, {0,1,2}, {0,2,1}, {1,0,2}, {1,2,0}, {2,0,1}, {2,1,0}.
For the third case, the only valid scorecard is {0,1,2,3}.
For the fourth case, there is no valid scorecard. It is not possible for both players to have score 1.
Posted Date: 6/30/2012 6:58:09 PM  Location : United States
Ask an Expert
Related Discussions:
Dynamic programming., Assignment Help, Ask Question on Dynamic programming., Get Answer, Expert's Help, Dynamic programming. Discussions
Write discussion on Dynamic programming.
Your posts are moderated
Write your message here..
Related Questions
Queue, what''s queue ?
what''s queue ?
Explain in detail about the ruby arrays, Explain in detail about the Ruby a...
Explain in detail about the Ruby arrays Ruby arrays have many interesting and powerful methods. Besides indexing operations which go well beyond those discussed above, arrays h
State the symbols of abstract data type operation, Symbols of ADT oepration...
Symbols of ADT oeprations All Symbol ADT operations are implemented in Symbol class, except toSymbol(), which is implemented in classes (like String) which can generate a Symb
What is quick sort, What is quick sort? Quick sort is a sorting algorit...
What is quick sort? Quick sort is a sorting algorithm that uses the idea if split and conquer. This algorithm chooses an element called as pivot element; search its position in
Develop a material requirements plan, The below figure illustrates the BOM ...
The below figure illustrates the BOM (Bill of Materials) for product A. The MPS (Material requirements Planning) start row in the master production schedule for product A calls for
Explain stacks, What are stacks? A stack is a data structure that organ...
What are stacks? A stack is a data structure that organizes data similar to how one organizes a pile of coins. The new coin is always placed on the top and the oldest is on the
Remainder function.., 3633(mod 11)
3633(mod 11)
Acyclic graphs, Acyclic Graphs In a directed graph a path is said to fo...
Acyclic Graphs In a directed graph a path is said to form a cycle is there exists a path (A,B,C,.....P) such that A = P. A graph is called acyclic graph if there is no cycle in
Binary search, An unsorted array is searched through linear search that sca...
An unsorted array is searched through linear search that scans the array elements one by one until the wanted element is found. The cause for sorting an array is that we search
The number of different directed trees with 3 nodes, The number of differen...
The number of different directed trees with 3 nodes are ?? The number of disimilar directed trees with three nodes are 3
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work