#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
#define ld long double
ll mod=1000000007;
int inf=1000000007;
ll infl=1000000000000000007;
char g[17][17];
ll npok(ll n,ll k)
{
if(k==0) return 1;
if(k>n||n<0||k<0) return 0;
ll ans=1;
for(ll i=n-k+1;i<=n;i++) ans*=i;
for(ll i=1;i<=k;i++) ans/=i;
return ans;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n,m;
cin>>n>>m;
int c0=0,c1=0;
bool par=0,par1=0;
for(int i=1;i<=n;i++)
{
for(int j=1;j<=m;j++)
{
cin>>g[i][j];
if(g[i][j]=='O') par^=(i+j)%2;
if((i+j)%2==0) c0++;
else c1++;
}
}
ll deg=0;
int c=0;
for(int i=1;i<=n;i++)
{
for(int j=1;j<=m;j++)
{
cin>>g[i][j];
if(g[i][j]=='O')
{
par1^=(i+j)%2;
c++;
}
if(i>1&&((g[i][j]=='O')+(g[i-1][j]=='O'))==1) deg++;
if(j>1&&((g[i][j]=='O')+(g[i][j-1]=='O'))==1) deg++;
}
}
if(par!=par1)
{
cout<<0<<endl;
return 0;
}
ll ways=npok(n*m-2,c-1);
ll sum=(n*(m-1)+m*(n-1))*ways;
cout<<fixed<<setprecision(15)<<(ld)deg/(ld)sum<<endl;
return 0;
}
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 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 | #include <bits/stdc++.h> using namespace std; #define endl '\n' #define st first #define nd second #define pb push_back #define sz(x) (int)(x).size() #define all(x) (x).begin(), (x).end() #define ll long long #define ld long double ll mod=1000000007; int inf=1000000007; ll infl=1000000000000000007; char g[17][17]; ll npok(ll n,ll k) { if(k==0) return 1; if(k>n||n<0||k<0) return 0; ll ans=1; for(ll i=n-k+1;i<=n;i++) ans*=i; for(ll i=1;i<=k;i++) ans/=i; return ans; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n,m; cin>>n>>m; int c0=0,c1=0; bool par=0,par1=0; for(int i=1;i<=n;i++) { for(int j=1;j<=m;j++) { cin>>g[i][j]; if(g[i][j]=='O') par^=(i+j)%2; if((i+j)%2==0) c0++; else c1++; } } ll deg=0; int c=0; for(int i=1;i<=n;i++) { for(int j=1;j<=m;j++) { cin>>g[i][j]; if(g[i][j]=='O') { par1^=(i+j)%2; c++; } if(i>1&&((g[i][j]=='O')+(g[i-1][j]=='O'))==1) deg++; if(j>1&&((g[i][j]=='O')+(g[i][j-1]=='O'))==1) deg++; } } if(par!=par1) { cout<<0<<endl; return 0; } ll ways=npok(n*m-2,c-1); ll sum=(n*(m-1)+m*(n-1))*ways; cout<<fixed<<setprecision(15)<<(ld)deg/(ld)sum<<endl; return 0; } |
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