, 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:-

Flowcharts, push and pop operation using array draw flowcharts

push and pop operation using array draw flowcharts

Overloading binary operators using friend function, Overloading Binary Oper...

Overloading Binary Operators Using Friend Function class SI {float i,p,n,r,a; public: SI(){}; SI(int gp,int gn, int gr); void putdata(void); friend SI operato

Write a c program to input a floating point number, Step 1 Define the start...

Step 1 Define the start of the program    It should be noted that within C all commands should end in a semi-colon. For most of your programs the definition of a program header as

Experiment with the small test matrix, For this assignment, I've provided a...

For this assignment, I've provided a data file called 'elevation.mat', which contains the elevation data you'll be working with.   Type load elevation.mat to get the varia

I need torrent seeding software throughout multiple proxies, Project Descri...

Project Description: I'm seeking someone who could write me a torrent seeding client which supports multiple proxies. The goal of the project is to make torrents popular by seed

Write a program that reads data from array, Write a program that reads data...

Write a program that reads data into an array of type int. You must use an array. The numbers input are attendance numbers at a conference. Keep a running average, number of events

C, find area uder the curve y=f(x) between x=a and x=b

find area uder the curve y=f(x) between x=a and x=b

String routines in c, Available in the string.h header file are the followi...

Available in the string.h header file are the following routines         strcat(string1,string2);   This joins string2 to string1; care must be taken to allocate enough space for

Application for build a toy program, With this assignment you will build a ...

With this assignment you will build a toy program that manipulates pointers to integers. You will develop the same main program fragment in both C and Assembler. Thus, you'll get t

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