, 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:-

#Program, Write a program that accepts two real numbers from a user and a s...

Write a program that accepts two real numbers from a user and a select code. If the entered select code is 1, have the program add the two previously entered numbers and display t

PEBBLE MERCHANT, C CODE FOR PEBBLE MERCHANTS PROBLEM

C CODE FOR PEBBLE MERCHANTS PROBLEM

Find the largest and smallest average, Use the above problem and have ...

Use the above problem and have the program print the biggest and smallest sales for each employee for everyday of the month. Program should also find the largest and

Array, Assigning value to individual elements in array

Assigning value to individual elements in array

When i develop a destructor, When I develop a destructor, do I require to e...

When I develop a destructor, do I require to explicitly call the destructors for my member objects?

Write a program that illustrate command line parameters, Write a Program th...

Write a Program that illustrate Command Line Parameters? main(int argc, char *argv[]) { int i; for(i = 0; i printf("arg %d: %s\n", i, argv[i]); return 0; }

Input and output routines, Data is required to be fed into the program (inp...

Data is required to be fed into the program (input) and sent out of the program (output). Considering the draughtsman using a CAD station, the input is his commands to cause lines/

What is mime, What is MIME? MIME - Multi-purpose Internet Mail Extens...

What is MIME? MIME - Multi-purpose Internet Mail Extensions. MIME types signifies a standard way of classifying file types over Internet. Browsers and Web servers have

C program for removing specified charecter , #include stdio.h> #include ...

#include stdio.h> #include conio.h> #include string.h>   void del(char[],char *); main() {           char str[30],ch,*pp;           clrscr();           p

Constructor, how to use and what is implicit and explicit constructor

how to use and what is implicit and explicit constructor

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