15 Puzzle, Solvable or not??

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
#include<bits/stdc++.h>
#define MX 1000007
#define ll long long
#define ull unsigned long long
#define fori(a,n) for(int i=a;i<n;i++)
#define forj(a,n) for(int j=0;j<n;j++)
using namespace std;

int x,n;
int inCount(int *a)
{
    int cnt=0;
    for(int i=0;i<x;i++){
        for(int j=i+1;j<x;j++)
            if(a[i]>a[j] && a[i] && a[j])
                cnt++;
    }
    return cnt;
}

int main()
{
    int position;
    cin>>n;
    int ara[n][n],trace[n*n];

    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++){
            cin>>ara[i][j];
            trace[x++]=ara[i][j];
            if(ara[i][j]==0)
                position=n-i;
        }
    }
    cout<<"Position "<<position<<endl;

    int cnt=inCount(trace);

    cout<<"Invertion: "<<cnt<<endl;

    if(n&1 && cnt%2==0)
        cout<<"Solveable!"<<endl;
    else if(n%2==0 && cnt%2==0 && position%2==1)
        cout<<"Solvable!"<<endl;
    else if(n%2==0 && cnt%2==1 && position%2==0)
        cout<<"Solvable!"<<endl;
    else
        cout<<"Unsolvable!"<<endl;

    return 0;
}

No comments

Theme images by Jason Morrow. Powered by Blogger.