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:-

Nested if else, input marks of c and c++ if c grater than equal to 50 grate...

input marks of c and c++ if c grater than equal to 50 grater than 50 you are pass if c greater than equal to 50 c++ less than 50 than supplementry c++ if c less then 50 and c++ gra

How, how to program?

how to program?

Types of linked list with the help of diagrams, Problem: (a) Describe ...

Problem: (a) Describe a linked list. (b) Explain the three different types of linked list with the help of diagrams. (c) Give two advantages and two disadvantages o

Fundamental programing, Ask question #Minimum 100 words pted#acce

Ask question #Minimum 100 words pted#acce

Structures, A more advanced data type is the structure; here we can define ...

A more advanced data type is the structure; here we can define a template as a collection of different variables e.g.     struct birthdate   {     int month;     int day;

How to double to int, char P[100]; double X=533.8*22500; sprintf(P...

char P[100]; double X=533.8*22500; sprintf(P,"%f %u",X,(unsigned int)X); MessageBox(P,"SSS"); //12010500.000 12010499

Control structures in cpp, C o n t r o l S t r u c t u r e s ...

C o n t r o l S t r u c t u r e s I t i s o f t h r e e t y p e s: 1 .    S e qu e n c e s t r u c t u r e 2 .

Flow chart of volume of sphere, flow chart of volume of sphere

flow chart of volume of sphere

Describe what is actual arguments, Describe what is actual arguments? -...

Describe what is actual arguments? - When certain functions are created and used to perform an action on some provided values, some values are required to be passed to them. Th

How can define an array, Q: How can Define an Array? An Array is define...

Q: How can Define an Array? An Array is defined in much the alike manner as ordinary variables except that every array name must be accompanied by a size specification (that is

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