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:-

Structure, Write a function that calculates the number of elapsed days betw...

Write a function that calculates the number of elapsed days between two dates. For example the days between Feb 3, 1970 and June 21, 1980? Becareful for the Leap year

Recursion, #questiowrite a program to calculate e^x

#questiowrite a program to calculate e^x

Write a program that calculates circumference and area, Write a program cal...

Write a program called A1Q3, that reads it the radius of a circle as an integer and prints the circle's diameter, circumference and area.  Use a constant value for pi.  Do all calc

Luminous jewels the polishing game, program

program

Problem : Luminous Jewels - Polishing Necklace, Byteland county is very fam...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

C , why c is middle level language?

why c is middle level language?

How does a union differ from a structure, Problem: (a) (i) What is a...

Problem: (a) (i) What is a structure? (ii) How does a structure differ from an array? (b) Declare a structure, called account, that will contain the following data me

#pointers, what is the purpose of pointer ? what is the syntax? how it work...

what is the purpose of pointer ? what is the syntax? how it works?

I need voting bot, Project Description: Seeking a Voting Bot Script / Pr...

Project Description: Seeking a Voting Bot Script / Program Skills required are ASP, Javascript, C Programming, PHP, Software Architecture

Explain about the string constants in c language, Explain about the String ...

Explain about the String Constants in c language? A collection of characters included within a pair of double quotes is treated as string constant. The character may be numbers

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