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:-

Arrays, how to avoid duplicates strings in an array

how to avoid duplicates strings in an array

Explain member functions of a class, Member Functions of a Class A memb...

Member Functions of a Class A member function of the class is similar as an ordinary function. Its declaration in a class template must explain its return value as well as the

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Advantages of using pointers over arrays, Question : (a) Define a Poin...

Question : (a) Define a Pointer. Provide an example of an integer pointer variable. (b) Give advantages of using pointers over arrays. (c) Declare an integer pointer

Mini Search Engine, How do I create two functions: one to put a collection ...

How do I create two functions: one to put a collection of criteria into normal form, and one to compute the score of a document. A collection of criteria will be represented using

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

Padovan string, pls say code for this above..

pls say code for this above..

Create a client program tracker, This project simulates an application call...

This project simulates an application called tracker for the Department of Transportation (DOT) in which highway traffic data is accumulated in real time using various sensing equi

Genetic disease, Many human diseases could be controlled by the knowledge o...

Many human diseases could be controlled by the knowledge of the gene’s structure and pattern. The human gene could be represented by four nucleotides. Each nucleotide is represente

A string S convert it to a palindrome by doing chara, A palindrome is a str...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

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