, C/C++ Programming

Assignment Help:
Question 1 / 1
You have an N x N chessboard and you wish to place N kings on it. Each row and column should contain exactly one king, and no two kings should attack each other (two kings attack each other if they are present in squares which share a corner).

The kings in the first K rows of the board have already been placed. You are given the positions of these kings as an array pos[ ]. pos[i] is the column in which the king in the ith row has already been placed. All indices are 0-indexed. In how many ways can the remaining kings be placed?

Input:
The first line contains the number of test cases T. T test cases follow. Each test case contains N and K on the first line, followed by a line having K integers, denoting the array pos[ ] as described above.

Output:
Output the number of ways to place kings in the remaining rows satisfying the above conditions. Output all numbers modulo 1000000007.

Constraints:
1 <= T <= 20
1 <= N <= 16
0 <= K <= N
0 <= pos_i < N
The kings specified in the input will be in different columns and not attack each other.

Sample Input:
5
4 1
2
3 0

5 2
1 3
4 4
1 3 0 2
6 1
2

Sample Output:
1
0
2
1
18

Explanation:
For the first example, there is a king already placed at row 0 and column 2. The king in the second row must belong to column 0. The king in the third row must belong to column 3, and the last king must beong to column 1. Thus there is only 1 valid placement.

For the second example, there is no valid placement.

Related Discussions:-

Explain friend for overloading operators, Friend for Overloading Operators ...

Friend for Overloading Operators Sometimes friend functions cannot be avoided. For example with the operator overloading. Consider the following class that have data members to

Define the relational operator in c language, Define the Relational Operato...

Define the Relational Operator in c language? The Relational operators refer to the relationships that values can have with one another and they are used to compare two operand

What is the difference among malloc/free and new/delete?, What is the diffe...

What is the difference among malloc/free and new/delete? A: Malloc/free do not know about destructors and constructors. New & delete create and destroy objects, whereas malloc &

What is virtual class and friend class, Friend classes are used when two or...

Friend classes are used when two or more classes are designed to work together and require access to each other's execution in ways that the rest of the world shouldn't be permitte

Wap avgerage score-assignment- standard deviation of student, finds the ave...

finds the average for all assignments for an individual student float getAverageForStudent(float scores[20][10], int student, int numAssignments) {  }  // finds the average for

Software crisis, defining software crisis As the technology changes ra...

defining software crisis As the technology changes rapidly the requirement for the users' change, to part the growing demand of the user for trade,  business, and personal

Develop an e commerce site, We need an E Commerce site likefifacointrader. ...

We need an E Commerce site likefifacointrader. you must have experience with that kind of work You have to show a sample of work like that site. Skills required are C Prog

Can inline functions contain a recursion?, A: No. Syntax wise it is permitt...

A: No. Syntax wise it is permitted. But then the function is no longer Inline. Since the compiler will never know how deep the recursion is at compilation time.

Write Your Message!

Captcha
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!

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