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:-

.Compiler Design - Limit the Method Instructions, i want this topic related...

i want this topic related programm

Program for function in cpp, Question Write a program using c++ for the...

Question Write a program using c++ for the above function , at a= 1000, b=10 -3 ,10 -2 ,10 -4

Described container class?explain types of container class, A container cla...

A container class is a class which is used to hold objects in external storage and memory. A container class work as a generic holder. A container class contains a predefined behav

I need online game dvelopment, Project Description: Online game developm...

Project Description: Online game development Online Live Baccarat Game is needed - client program. - server program(IOCP or ect..). - web program(ASP or PHP or etc..

Program, Define a class polynomial with three private data members a, b and...

Define a class polynomial with three private data members a, b and c of type double to represent the coefficient of two degree polynomial(ax^2+bx+c). Include a constructor in a pol

How virtual functions can be implemented in c++?, Normal 0 fals...

Normal 0 false false false EN-US X-NONE X-NONE

Explain logical operators, Logical Operators We say any expression that...

Logical Operators We say any expression that evaluates to zero is a FALSE logic condition and that evaluating to non-zero value is a TRUE condition. Logical operators are usefu

, print this pattern 1 01 101 010

print this pattern 1 01 101 0101

What is the role of && operator in a program code, What is the role of && o...

What is the role of && operator in a program code? - && is also referred to as AND operator. - When this operator is used, all conditions specified should be TRUE before nex

Decode the code, c++ coding decode the letters from numbers

c++ coding decode the letters from numbers

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