, 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:-

Answer, what is spanning tree? explain prims algorithm spanning tree?

what is spanning tree? explain prims algorithm spanning tree?

Explain encapsulation and data hiding, Encapsulation and Data Hiding Th...

Encapsulation and Data Hiding The property of being a self-contained unit is known as encapsulation. The idea that the encapsulated unit can be used without knowing how it work

C++ age guessing game, Write a program that predicts users’ age (0-128 year...

Write a program that predicts users’ age (0-128 years old) with at most 7 questions. The game starts with asking the user whether he/she is younger or older than G (an initial gues

Pseudo code, determining whether an integer is prime number or not

determining whether an integer is prime number or not

Explain the #define directive, The #define Directive The #define direct...

The #define Directive The #define directive explains a macro which is a text string represented by a name. Whenever the pre-processor finds this name in the program, it is repl

Hwid spoofer for windows 7, Project Description: I want a simple program...

Project Description: I want a simple program that will spoof my hardware id. I should be able to prepare the id to spoof to in the program and press "random" button to spoof to

C program to demonstrate pointer to variable, C program to demonstrate Poin...

C program to demonstrate Pointer to variable: void p2a(int *); void main() {                 int x=10, *a,**b;                 int arr[5];                 //poin

Define the float data type of c language, Define the Float Data Type of c L...

Define the Float Data Type of c Language? The float is used to define floating point numbers. The Floating point numbers are stored in 32 bits with 6 digits of precision. Eg

What are the differences among a struct in c & in c++?, A: In C++ a struct ...

A: In C++ a struct is alike to a class except for the default access specifier( refer to other question in the document). In C we ought to include the struct keyword while declarin

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