, 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:-

C program for count sorted characters, # include stdio.h> # include coni...

# include stdio.h> # include conio.h> # include string.h> void main()   {           int i=0,j=0;           char a[100],temp;           clrscr();

Super ASCII string checker, In the Byteland country a string "s" is said to...

In the Byteland country a string "s" is said to super ascii string if and only if count of each charecter in the string is equal to its ascci value in the byteland country ascii co

If/else statement, to compute the net pay of an emplyee, given his/her pay ...

to compute the net pay of an emplyee, given his/her pay rate, number of hours and tax rate

Tree, Write algorithm and program for the conversion of a Tree to a Binary ...

Write algorithm and program for the conversion of a Tree to a Binary Tree

Do friends break encapsulation?, A: No. If they're utilized properly, they ...

A: No. If they're utilized properly, they increase encapsulation. You frequently require splitting a class in half while the two halves will have distinct numbers of instances o

What is the real function of class - to export data, What is the real funct...

What is the real function of class - to export data? No, Real purpose of a class isn't to export data. Instead, it's to provide services. Class provides a way to abstract behav

Bus Connection, how to explain working of bus connection

how to explain working of bus connection

C program for function of divider , C Program for FUNCTION OF DIVIDER ...

C Program for FUNCTION OF DIVIDER int gcd(int , int); void main() {           int m=0,n=0,k=0;           clrscr();           printf("ENTER THE FIRST DIGIT: ");

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

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