, 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:-

Boardcoloring, in this problem u given a board in which some of the element...

in this problem u given a board in which some of the elements are placed as shown in diagram below .each element represent a color .fill the other elements in the board such that n

How virtual functions can be implemented in c++?, Normal 0 fals...

Normal 0 false false false EN-US X-NONE X-NONE

Define and explain flow chart with an example, C Programming and Data Struc...

C Programming and Data Structures 1. Define and explain flow chart with an example. 2. Write an algorithm to print all even numbers in descending order and draw the flowcha

Integer parameters, write a static method with one integer parameter, x tha...

write a static method with one integer parameter, x that returns the value of the polynomial 3x(2)- 7x + 2

Area under curve, progarm in c for area under curve   #include ...

progarm in c for area under curve   #include float start_point, /* GLOBAL VARIABLES */ end_point, total_area; int numtraps;

Basic Programming Constructs, Write a program to print all the factors of a...

Write a program to print all the factors of a positive integer A

What does it mean to declare a destructor as static, d) a "static destructo...

d) a "static destructor" is a static member function of the class which accepts one argument - a pointer to the object of that class to be cracked. It is probably utilized along wi

What does throw; (with no exception object after the throw , What does thro...

What does throw; (with no exception object after the throw keyword) mean? Where would I employ it? A: You should see code that looks something like this: class MyException

UltimateCarRadio Project, In this assignment, you will be modifying your As...

In this assignment, you will be modifying your Assign-05 code to use more inheritance. As well, in this assignment, you will be asked to use newand delete, throw and catch except

Program to display appropriate message-clients accounts, Question A ban...

Question A bank normally updates it's clients accounts at the end of each month.Of the two types of bank accounts:savings and checking, a client must maintain a minimum balance

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