, 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:-

Should i employ null or 0?, A: In C++, the definition of NULL is 0, thus th...

A: In C++, the definition of NULL is 0, thus there is only an aesthetic difference. I prefer to ignore macros, so I employ 0. Another difficulty with NULL is that people sometimes

Explain operators in c language, Explain Operators in C Language? The C...

Explain Operators in C Language? The C language is very rich in built - in - operators and it places more significance on operators than do most other computer languages. The C

C program for compare two strings , Normal 0 false false fa...

Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

C program for sorting, C Program for SORTING # include stdio.h> void...

C Program for SORTING # include stdio.h> void main() {           char a;           int *p;           int i,j,temp;           clrscr();           p=&i;

What is buddy systems, Buddy systems : A method of handling the storage man...

Buddy systems : A method of handling the storage management problem is kept individual free lists for blocks of dissimilar sizes. Every list having free blocks of only one particul

Calculating interest, The interest charged on a loan banking facility is ca...

The interest charged on a loan banking facility is calculated based on principal amount, rate and time. implement a C program that can be used to automate the calculation of the in

Create complex number using constructor , Create Complex number using const...

Create Complex number using constructor: class complex                                 {                                                   private:

Area under curve, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Simplify the logical phrase with C++, hi i want wite a C++ program that get...

hi i want wite a C++ program that get one logical phrase (included {x,y,z,w,1,0}) and simplify it! but i ''m confused! thanxs for anubody help me...

C program to convert time in 24 hour format to 12., Aim: To implement a pr...

Aim: To implement a program to convert time in 24 hour format to 12 hour format. Code:                       #include #include #include class time24 {

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