, 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:-

Minimumshelf, Write a program that finds the minimum total number of shelve...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process.

Wap for the game hangman-using functions with txt graphics, The game of han...

The game of hangman may have originated in the Victorian era, and involves trying to guess a word by suggesting letters. The game is played as follows: A word is chosen and the pl

C++ and matlab, ">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.p...

">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.pdf http://www.ee.nmt.edu/~erives/289_F12/Takehome2_maze.GIF

Cross platform clinet app for a vpn, Cross Platform Clinet app for a vpn ...

Cross Platform Clinet app for a vpn Project Description: We want a cross platform client app for VPN. The app must have the subsequent options below: 1. Must be an open

Do i require checking for null before delete p?, No. it's not required T...

No. it's not required The C++ language guarantees that delete p will do nothing if p is equivalent to NULL. As you might get the test backwards, and as most testing methodologie

Program is to define a class as teacher, Program is to define a class as te...

Program is to define a class as teacher: Program is to define a class as teacher and collect information about them by using classes and object class teacher   {   pr

Explain the declaration of multi dimensional arrays, Explain the Declaratio...

Explain the Declaration of Multi Dimensional Arrays? In the figure, the range in the first dimension is 3 and in the second dimension is 4. The shaded portion corresponds to th

Pointer declaration for class, P o i n t e r d e c l ...

P o i n t e r d e c l a r a t i o n f o r C l a s s : M m; M * p m; / / C la ss M i s d e c l a r e d a s

Operators, write a program to accept ten numbers and display the total

write a program to accept ten numbers and display the total

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