, 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:-

Binary options ea for directfx and signalpush, Binary Options EA for Direct...

Binary Options EA for DirectFX and SignalPush Project Description: I want a programmer who will build an EA based on my three types of Binary strategy's using two Indicators.

COMPUTER, THEORY OF A COMPUTER PROGRAMMING

THEORY OF A COMPUTER PROGRAMMING

C program for function of find the factorial , C Program for FUNCTION OF FI...

C Program for FUNCTION OF FIND THE FACTORIAL float factorial(float); void main() {           float i=0,c=0;           clrscr();           printf("ENTER THE DIGI

Algorithm, algorithm to prepare mark sheet of a student by inputing name,br...

algorithm to prepare mark sheet of a student by inputing name,branchcode,semester,register no,5 marks of students and total mark of student

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

C pgms, find area under the curve y=f(x) between x=a &y=b integrate y=f(x)

find area under the curve y=f(x) between x=a &y=b integrate y=f(x)

#Padovan string, A Padovan string P(n) for a natural number n is defined as...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of the c

Define constructors-extract and insert operators, For your class to work pr...

For your class to work properly, you'll need to define appropriate constructors, extract and insert operators, and of course arithmetic operators. (If you wanted to use it as a gen

PEBBLE MERCHANT, C CODE FOR PEBBLE MERCHANTS PROBLEM

C CODE FOR PEBBLE MERCHANTS PROBLEM

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