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:-

Car rental project, I need a project on car rental system using c programmi...

I need a project on car rental system using c programming only of college level

What does odbc do in context with php, What does ODBC do in context with PH...

What does ODBC do in context with PHP? PHP supports many databases such as dBase, Microsoft SQL Server, Oracle, etc. however, it also supports databases such as filePro, FrontB

Pos console cpp unit testing, Pos Console CPP Unit Testing Project Descr...

Pos Console CPP Unit Testing Project Description: Do the CPPUnit Testing for the project. Have all the functions done. Skills required are Android, C Programming, C++ Prog

C program, genetic disorder

genetic disorder

Code, how to write c++ for function f(x)= 2x^3 -x^2 +10

how to write c++ for function f(x)= 2x^3 -x^2 +10

Header files, use of header files

use of header files

Notion of encapsulation, The purpose of this assignment is to familiarize y...

The purpose of this assignment is to familiarize you with the notion of encapsulation as well as some aspects of IP and ICMP. Write your programs in C or C++. They will be grade

Program to calls to echo the typed characters, Write a main program that us...

Write a main program that uses these system calls to echo the typed characters. The pseudo code will look something like: void traphandler ()  {    if (R0 == 0) { // read sys

Super ASCII String Cost, A string S is said to be "Super ASCII", if it cont...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Define generic bitwise operations, Define Generic Bitwise Operations? ...

Define Generic Bitwise Operations? Bitwise operators only work on an incomplete number of types int and char. It turns out there's above one kind of int. In particular there's

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