User Account

All Pages

, 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:-

Integration, Write a program to find the area under the curve y = f(x) betw...

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. The area under a curve between two points can b

Programming and solving problems with a computer, One person who is special...

One person who is specialist at programming and solving problems with a computer Project Description: Potential computer, hardware, programming and software genius, I look

Super ASCII string cost, super ASCII string cost

super ASCII string cost

For loop, explain me for loop

explain me for loop

Program to display stock containing item code, THIS PROGRAM IS TO DISPLAY A...

THIS PROGRAM IS TO DISPLAY A STOCK CONTAINING ITEM CODE,ITEM NAME,PRICE AND ANOTHER STOCK WITH CODE & QUANTITY AND DISPLAY COMPLETE INFORMATION #include #include #include

Required audio expert in c# - create audio engine, Project Description: ...

Project Description: We want an EXPERT CODER to help us create an 'audio engine' in C#. We want to be able to specify an input of a wave/MP3 file, and have the engine manipul

Refactoring, Refactoring Project Description: TASK 1 - DESIGN ALGORIT...

Refactoring Project Description: TASK 1 - DESIGN ALGORITHM You are required to design a suitable solution algorithm by using structured chart, pseudocode or flowchart. Thi

Algorithm, for different operation multiple stack

for different operation multiple stack

Program to calls to echo the typed characters, Write a main program that us...

Write a main program that uses these system calls to echo the typed characters. The pseudo code will look something like: void traphandler ()  {    if (R0 == 0) { // read sys

Luminous jewels the polishing game, program

program

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd