User Account

All Pages

, 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:-

Stack, flow chart for push operation in stack

flow chart for push operation in stack

Linked list, program for singly linked list with out header

program for singly linked list with out header

Destructor, Destructor: The purpose of destructor is to free the memory...

Destructor: The purpose of destructor is to free the memory when the compiler memory is reduced or not enough to execute certain program. Sometimes there may several objects op

Define pure virtual function? why & when it is used?, Define Pure Virtual F...

Define Pure Virtual Function? Why & when it is used?

C program, genetic disorder

genetic disorder

Pointer to an array, Write a method (belonging to the TermStructure class) ...

Write a method (belonging to the TermStructure class) that takes a pointer to an array of bonds and an integer, representing the number of bonds in the array as arguments, and esti

Project, Project Overview A certain financial institution (bank) wishes to ...

Project Overview A certain financial institution (bank) wishes to promote its new business products/services by conducting road shows in rural areas. Their aim is to encourage peop

Define four facilities provided by c language preprocessor, Define Four Fac...

Define Four Facilities Provided by C Language Preprocessor? The C language preprocessor provides four separate facilities that you can use as you see fit:   Inclusion

Write code to implement constructor and assessors, Study the given class sp...

Study the given class specification and answer the questions that follow: class Person { private:   string name;   int yrBorn;   int yrDied;   public:   Per

College, #question.College life is tough. Eating pizza for every meal is h...

#question.College life is tough. Eating pizza for every meal is hitting you hard. You are looking at working out to stay healthy. You found a web site that tells you how many ca

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