, 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:-

#title., #quGiven the Array class definition in Fig. 11.10-11.11 (pp. 476-4...

#quGiven the Array class definition in Fig. 11.10-11.11 (pp. 476-479) of the textbook, write a new overloaded operator function for the ‘%’ (modulus) operator (i.e., return an arra

Gaming tracks company for a mobile game developing, We want Guys For Job in...

We want Guys For Job in Gaming Tracks Company for a mobile game developing Project Description: I want a team of game developers for life-time as mobile dev team in my compan

Introduction of c, Discuss the saleint featuresand application of c

Discuss the saleint featuresand application of c

C program to add, C program to add, average and deviation of numbers: v...

C program to add, average and deviation of numbers: void main() {                 int sum=0,a[10],i;                 float avg=0,dev,vari=0,var;                 pri

Explalin concept of derivations in c++, derivations 1. Regardless of the...

derivations 1. Regardless of the type of derivation, private members are inherited by the derived class, but cannot be accessed by the new member function of the derived class,

Ascii string related, A string S is said to be "Super ASCII", if it contain...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Memory management by c program, Memory management by c program: Write ...

Memory management by c program: Write a program to memory management in c program unsigned max( unsigned, unsigned );   int BaseMemBlocks::allocBlock( size_t sz )

Determine the size of an interger data type without using , Determine the s...

Determine the size of an interger data type without using sizeof() function? A: #include int main() { int *i ; int *j = i + 1; cout }

Linux driver and linux, Project Description: I´ve a need linux programmi...

Project Description: I´ve a need linux programming job. if you are interested, Skills required are C Programming, PCB Layout, Embedded Software, Python, Software Architecture

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