, 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:-

Program for dynamic 2d memory, Requirements: 1.  This assignment as well...

Requirements: 1.  This assignment as well as other assignments in this class must be finished on Windows operating system. 2.  Zip your program and submit the zip file on ANG

code, direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3...

direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3,1}

Create a program to word count, Create a program WordCount1Main.java doing ...

Create a program WordCount1Main.java doing the following:  For each word in the le word.txt { Create an object of the class Word { Add the object to a set of the type java.uti

Computer Science 101, This is what I need help with. "Create a program cre...

This is what I need help with. "Create a program creates an interface allowing the user to select from some other programs I have made one being a money converter and the other ca

Explain quick sort and tree sort, Question 1 Explain Abstract data types w...

Question 1 Explain Abstract data types with its characteristics Question 2 Let us say your Learning Centre decides to store all the three types of student data Register

Illustrate the problems with multiple inheritance, Problems With Multiple I...

Problems With Multiple Inheritance The following example presents a problem with multiple inheritance. class Aclass  {   public :  void put()

Program for design and simulate a basic risc processor, Overall Program Obj...

Overall Program Objective: You will design and simulate a basic RISC processor.   You will create and encode an instruction set.  Your final task will be to "compile" a program

Operator overloading, Op e r a t o r O v e r l o a d i n g :...

Op e r a t o r O v e r l o a d i n g : W h e n   a n   o p e r a t o r   i s   u s e d   f o r   d i ff e r e n t   op e r a

Execution of string length using pointer hopping, A: #include // Test to...

A: #include // Test to see if pointer hopping is worthwhile. // strlen implemented with usual indexing mechanism. int strlen1( const char str[ ] ) { int i; for( i =

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