User Account

All Pages

Dynamic programming., Data Structure & Algorithms

Assignment Help:
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.

Related Discussions:- Dynamic programming.

Pest control program, PART- Pest Control Program Prepare a Pest Contro...

PART- Pest Control Program Prepare a Pest Control Program for the facility that will address the management of Rodents, Insects and Birds. Your Pest Control Program should

Define about the class invariant, Define about the class invariant A cl...

Define about the class invariant A class invariant may not be true during execution of a public operation though it should be true between executions of public operations. For

Graph and BFS, traverse the graph as BFS

traverse the graph as BFS

If else, design algorithm and flow chart that computes the absolute differe...

design algorithm and flow chart that computes the absolute difference of two values x and y

Explain merge sort, Question 1 Explain the use of algorithms in computing ...

Question 1 Explain the use of algorithms in computing Question 2 Explain time complexity and space complexity of an algorithm Question 3 Explain how you can analyz

Methods, what is folding method?

what is folding method?

What is an unreachable code assertion, What is an unreachable code assertio...

What is an unreachable code assertion An unreachable code assertion can be placed at the default case; if it's every executed, then program is in an erroneous state. A loop in

Abstract data types, Abstract Data Types :- A useful tool for specifying th...

Abstract Data Types :- A useful tool for specifying the logical properties of a data type is the abstract data type or ADT. The term "abstract data type" refers to the basic mathem

Algorithms and flowcharts, write an algorithm and draw a flowchart to calcu...

write an algorithm and draw a flowchart to calculate the perimeter and area of a circle

Postfix expression, : Write an algorithm to evaluate a postfix expression. ...

: Write an algorithm to evaluate a postfix expression. Execute your algorithm using the following postfix expression as your input: a b + c d +*f ­ .

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd