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:-

Flow chart, given number is prime or not

given number is prime or not

#title.MODI method, coding

coding

What does extern "c" int func(int *, A: This will turn o_ "name mangling" f...

A: This will turn o_ "name mangling" for func so that one can connect to code compiled by a C compiler.

Develop diablo 2 lod 1.13d dupe method for closed battle.net, Develop Diabl...

Develop Diablo 2 LOD 1.13d Dupe Method for Closed Battle.net This hack is for diablo 2 lord of destruction The program must work on all realms, all cores, all ladders (4x rea

Fraction coding, Create a program that asks the user for two integers which...

Create a program that asks the user for two integers which represent the numerator and denominator parts of fraction. Print out a simplification of the fraction. Example: Enter th

Padovan string , .write a program that counts the number of occurrences of ...

.write a program that counts the number of occurrences of the string in the n-th padovan string p(n)   program in java // aakash , suraj , prem sasi kumar kamaraj college

HASHING, What is meant by open addressing? Explain various collision resolu...

What is meant by open addressing? Explain various collision resolution techniques with example

Pebble merchant, coding

coding

OOPS questions, #question.Please check .

#question.Please check .

Write a program to implement operator functions, Implementing Operator Func...

Implementing Operator Functions The general format of the Operator function is: return_type operator op ( argument list );   Where op is the symbol for the operator be

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