, 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:-

Compiler Design - Limit the methods, Rahul is a newbie to the programming a...

Rahul is a newbie to the programming and while learning the programming language he came to know the following rules: ???• Each program must start with ''{'' and end with '

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.

Purchasing code signing certificate, Purchasing Code Signing Certificate ...

Purchasing Code Signing Certificate I want to purchase a Code Signing Certificate in good standing from someone in order to sign my .EXE programs with. Please be aware I do n

Explain call by reference, Call by Reference Passing variables(paramete...

Call by Reference Passing variables(parameters) to a function in C can be done in two ways - pass by value, also called as call by value and pass by address or also known as ca

Write a program to sum any pair of numbers, Write a C++ program that reads ...

Write a C++ program that reads from keyboard 3 integers, with proper input prompt, and then displays the maximum sum of any pair of numbers from these three. If the 3 numbers are 5

Algorithem, algorithem of compound interest

algorithem of compound interest

Wap to print any name on screen 10 times, WAP TO PRINT ANY NAME ON SCREEN 1...

WAP TO PRINT ANY NAME ON SCREEN 10 TIMES void main () { int a=1; clrscr(); do { printf ("expertsmind\n"); a++; } while (a getch (); }

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