, 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:-

Explain about the variables in c language, Explain about the Variables in c...

Explain about the Variables in c language? The Variable is an identifier that is used to represent some specified kind of information within a designated portion of the program

Write program.., # Dear I want help to programmer that write C++ code for...

# Dear I want help to programmer that write C++ code for my small project as soon as posible If we can help me?..

Described the order that objects in an array is destructed?, Described the ...

Described the order that objects in an array is destructed?

Prime no., program to find if a no . is prime or not

program to find if a no . is prime or not

Constants, explain about symbolic constants with examples

explain about symbolic constants with examples

C program for function of count the characters in each word, C Program for ...

C Program for FUNCTION OF COUNT THE CHARACTERS IN EACH WORD void count(char c[]); void main() {           char a[50];           int i=0;           clrscr();

Advanced, how to create a shopping cart

how to create a shopping cart

201 it, overload assignment opertor to assign the data of one object to ant...

overload assignment opertor to assign the data of one object to anthor

Explain object conversions, Object Conversions Just like initialization...

Object Conversions Just like initialization, conversions are also done automatically when an object of a derived class is assigned to an object of the base class. Though, the c

Friends of classes, Define the following Window class : - integer  data mem...

Define the following Window class : - integer  data members, width and height - a constructor  that accepts two integer  parameters  (width followed by height) and uses them to ini

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd