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:-

Find the internal resistance of the battery, The voltage at the terminals o...

The voltage at the terminals of a battery is 52V when no load is linked and 48.8V when a load taking 80A is connected. Find the internal resistance of the battery. What wou

Area Under Curve, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

What is buddy systems, Buddy systems : A method of handling the storage man...

Buddy systems : A method of handling the storage management problem is kept individual free lists for blocks of dissimilar sizes. Every list having free blocks of only one particul

Areaunder curve, area under curve pgm

area under curve pgm

Set performance data and print tickets, Create a class  called  ticketSelli...

Create a class  called  ticketSelling that stores booking information of a single performance on a single day and sells the tickets of the performance. The class should include at

Create complex number using constructor , Create Complex number using const...

Create Complex number using constructor: class complex                                 {                                                   private:

Non-maxima suppression, Use the program called harris-shell.c and add some ...

Use the program called harris-shell.c and add some code to find the corners in the image checkers.jpg. You should say that a pixel in the image is a corner if it passes the given t

Lowest cost entry, code for solving optimal solution for matrix

code for solving optimal solution for matrix

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

Program is to read the characters from keyboard, Program is to read the cha...

Program is to read the characters from keyboard: Program is to read the characters from keyboard one by one stored in different files as upper constants, lower constants, othe

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