, 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:-

Computer Science Engineering C++ Homework, Temperature Conversions. Problem...

Temperature Conversions. Problems 28 through30generate temperature-conversion tables. Use the following equations that give relationships between temperatures in degrees Fahrenheit

code, direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3...

direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3,1}

Prepare invoice ocr and document management, Project Description: We are...

Project Description: We are seeking online invoice OCR solution. That will help us to automate accounts payable function. User should be able to use the offered pdf file or s

Design a game in c, Design a game in c: const DODGERS = 0; const GI...

Design a game in c: const DODGERS = 0; const GIANTS = 1;   void main(void) {    int scoreboard [2][9];    // An array two rows by nine columns    int team, i

Functions, differentiate between inbuilt and user defined functions

differentiate between inbuilt and user defined functions

I need script for auto seating poker, Project Description: Not just like...

Project Description: Not just like that though. I want a similar program that can scan through poker lobbys (pokerstars, full tilt, ongame and ipoker) and seat me to the left of

What are the types of control structures in programming, What are the vario...

What are the various types of control structures in programming? - Primarily there are 3 types of control structures in programming: Sequence, Selection and Repetition. - Se

Decoding the messages, 6999066263304447777077766622337778 -----> message se...

6999066263304447777077766622337778 -----> message sent by the first smuggler. my name is robert---------> message decoded by the second smuggler. Where ‘0’ denotes the "space".

C program to find area of rectangle, Aim: To implement a program to find a...

Aim: To implement a program to find area of rectangle, surface area of box and volume of box using virtual functions. Code:                       class rect {

Application for build a toy program, With this assignment you will build a ...

With this assignment you will build a toy program that manipulates pointers to integers. You will develop the same main program fragment in both C and Assembler. Thus, you'll get t

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