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:-

I need p2p video streaming, Project Description: P2P media streaming bro...

Project Description: P2P media streaming browser (IE, Chrome, Firefox) plug-in needed that is compatible with Win Xp,7,8 that is Windows Firewall friendly Example like Swarm

What is cexplain, what is cexplain

what is cexplain

Describe processing an array, Describe Processing an array? The Single ...

Describe Processing an array? The Single operations which involve complete arrays are not permitted in C language. therefore if a and b are similar arrays (for example same dim

Flowchart, create a flowchart that display the assume that there are 3 sect...

create a flowchart that display the assume that there are 3 section each student ?

Define polymorphism?, Define Polymorphism? A: Polymorphism let a client ...

Define Polymorphism? A: Polymorphism let a client to treat distinct objects in the similar way even if they were developed from distinct classes and exhibit different behaviors.

Boardcolourng, program coding

program coding

Explain the working of array with strings, Explain the working of Array wit...

Explain the working of Array with Strings? A string is defined in C language as an array of characters. A null character (‘\0') is automatically added to the end of the charact

Minimum shelves, write a program to find the minimum number of shelves

write a program to find the minimum number of shelves

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

Develop stocastic expert advisor, Project Description: Need to develop a...

Project Description: Need to develop an expert advisor base on sthocastic oscilator with my own setting.. Very basic touch line OB/OS only but on my setting n condition Skill

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