, 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:-

Define the volatile keyword qualifiers in c language, Define the Volatile K...

Define the Volatile Keyword Qualifiers in C Language? The volatile keyword proceed as a data type qualifier and a volatile variable is for dynamic use. E.G. for data that is to

C program for string address, C Program for STRING ADDRESS #include std...

C Program for STRING ADDRESS #include stdio.h> #include conio.h> #include string.h> void main() {           char *name;           int length;           cha

Compiler Design - Limit the methods, Rahul is a newbie to the programming a...

Rahul is a newbie to the programming and while learning the programming language he came to know the following rules: ???• Each program must start with ''{'' and end with '

What''s the deal along with operator overloading?, A: It let you to provide...

A: It let you to provide an intuitive interface to users of your class, as well as makes it possible for templates to equally work well with classes and built-in/intrinsic types.

Graphics, demonstrates shearing about origin

demonstrates shearing about origin

Luminous jewels, Problem : Luminous Jewels - Polishing Necklace Byteland c...

Problem : Luminous Jewels - Polishing Necklace Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of v

Plz reply on [email protected], You are to implement a code cracking ...

You are to implement a code cracking system. The system will deploy four processes (p1,p2,p3 & p4) to try to guess the password of an encrypted code. For encryption, we consider th

Explain scope rules and storage classes, Scope Rules and Storage Classes ...

Scope Rules and Storage Classes The storage class verifies the life of a variable in terms of its duration or its scope. There are four storage classes : automatic static

Explain the changing field width, Changing Field width The printf() and...

Changing Field width The printf() and scanf() functions from the standard library, use width specifier for controlling the width of its output . Similarly, the ostream class al

Defines the entry point for the console application, Defines the entry poin...

Defines the entry point for the console application. // #include "stdafx.h" #include #include #include"conio.h" using namespace std; double Determinant(double a[][3],int forde

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