, 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:-

Project of result management system in c language, how we write decision ta...

how we write decision tables, flowcharts,pseudocode,and algorithm in result management system

Assignment, Develop a C++ program that uses a while to determine the gross ...

Develop a C++ program that uses a while to determine the gross pay (in Dollars) for each of several employees. The company pays “straight-time” for the first 40 hours worked by ea

Pointer to function, Pointer to function: int mul(int a, int b, int c) ...

Pointer to function: int mul(int a, int b, int c) {   return a*b*c; } void main() {   int (*function_pointer)(int, int, int);   function_pointer = &mul;

Define statements to define the constants, the problem description. The ...

the problem description. The order of the C Program should be as follows: Variables and constants Use #define statements to define the constants. Use arr

Padovan string, write a program that counts the number of occurrences of th...

write a program that counts the number of occurrences of the string in the n-th padovan string p(n)   program 1 : package test.padovanstring; public class PadovanString {

When is a template a better solution than a base class, When you are design...

When you are designing a generic class to have or otherwise manage objects of other types, when the format and behavior of those other types are unimportant to their containment or

#area under curve, #Write a program to find the area under the curve y = f(...

#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.   #include float start_poi

Algorithm, Write an algorithm to print all even numbers in descending order...

Write an algorithm to print all even numbers in descending order and draw the flowchart.

Linear search in array - c program, Linear search in array - C program: ...

Linear search in array - C program: Write a program in c to define a linear search in array. void main()                 {                 clrscr();

Type cast operator, What is  T y pe C a s t Op er a t o r :...

What is  T y pe C a s t Op er a t o r :   T h e f l o a t c a n b e c o n v e r t e d t o i n t e g e r v a l u

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