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:-

#titlbinary searching.., Ask question #Minimum 100 words awhat is the pre c...

Ask question #Minimum 100 words awhat is the pre condition for binary searching ccepted#

Develop opencv tracking, Help me evaluate suitable OpenCV filters to get an...

Help me evaluate suitable OpenCV filters to get an inital working tracking algorithm. In this case it's objects moving on water (sea) and since I have very limited OpenCV knowledge

Lumnious jewels polishing game, want a c code soon

want a c code soon

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Explain the working of strcmp and strcat function, Explain the working of s...

Explain the working of strcmp and strcat Function? strcmp() : This function is meant to use to compare two strings. The strcmp() function acknowledge two strings as argument

C++, Write a program to find the area under the curve y = f(x) between 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

Harcourt social studies, how would land elevation have changed if Coronado ...

how would land elevation have changed if Coronado had traveled 150 miles due west from what is today Arizona instead of east toward New Mexico

Stack over flow for sun sparc, Please use C or C++ to write your programs. ...

Please use C or C++ to write your programs. Our homework will focus on SUN sparc machines because to exploit x86 stack-overflow is too easy. This is not just a programming assignme

Iteration problem, my program does not run more than 9 iterations when ever...

my program does not run more than 9 iterations when ever i want to iterate more than 100 iterations. what is the reason and how to tackle?

Define the return statement in computer programming, Define The Return Stat...

Define The Return Statement in Computer Programming? The return statement is used for two purposes once the return statement is executed the program control will be immediately

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