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:-

Overloading of destructor, Is Overloading of Destructor possible?

Is Overloading of Destructor possible?

C/c++ program, luminous jewel polishing necklace,c/c++ programming

luminous jewel polishing necklace,c/c++ programming

Compiler Design - Limit In The Method Instructions, Compiler Design - Limit...

Compiler Design - Limit In The Method Instructions

Differences between a pointer and a reference, Differences between a pointe...

Differences between a pointer and a reference 1.  A reference must always point to some object where as this restriction is not imposed on a pointer. e.g. int *pi = 0;

Algorithm, What is an algorithm and write an algorithm to calculate the sim...

What is an algorithm and write an algorithm to calculate the simple interest

C#, 1. write a program named InputMethodDemo2 that eliminates the repetitiv...

1. write a program named InputMethodDemo2 that eliminates the repetitive code in the InputMethod() in the InputMethodDemo program. Rewrite the program so the InputMethod()contains

Introduction of computer and programming concept, Classify computer system ...

Classify computer system according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also.

Dynamic memory management, C and C++ require explicit dynamic memory manage...

C and C++ require explicit dynamic memory management, using new and delete or malloc() and free(). It is helpful to understand where variables exist (usually the stack or the he

Decoding the messages, decodethecode

decodethecode

Write notes on-, (i) Vilsmeir reaction

(i) Vilsmeir reaction

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