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:-

Write a program to sort an array of strings, Write a program to sort an arr...

Write a program to sort an array of strings. Use new and delete operators. Write a program to find the factorial of a number using recursion. If we do not accept the number

Datastructure, c program of double linked list with full explanation

c program of double linked list with full explanation

Boardcoloring with minimum color of 4, boardcoloring with minimum color of ...

boardcoloring with minimum color of 4

Program is to define a class as employee, Program is to define a class as e...

Program is to define a class as employee: Write a program to define a class as employee and collect information about them by using classes and object class employee   {

How many levels deep can include files be nested, How many levels deep can ...

How many levels deep can include files be nested? - As such, there is no limit to number of levels of nested include files you can have however your compiler might run out of s

Srand and rand(), Mention clearly about srand and rand().

Mention clearly about srand and rand().

Monolithic stucture, what is a monolithic structure?

what is a monolithic structure?

How to creat a file herachy for stream class, Ask questionhow to creat a fi...

Ask questionhow to creat a file herachy for stream class #Minimum 100 words accepted#

Padovan string, c program to count the number of occurances of the string i...

c program to count the number of occurances of the string in padovan''s string

Classes relationship, how many types of class relationship

how many types of class relationship

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