#include <bits/stdc++.h>
 
#define INF 2147483647
#define LINF 9223372036854775807
#define NINF -2147483648
#define NLINF -9223372036854775808
#define M 1000000007
#define M1 998244353
#define A 26
#define P 2137
 
using namespace std;
using db=double;
using dbl=long double;
using ll=long long;
using pi=pair<int,int>;
using pl=pair<ll,ll>;
using vi=vector<int>;
using vl=vector<ll>;
using gr=vector<vector<int> >;
using grl=vector<vector<ll> >;

 
#define fp(x, a, b) for (int (x) = (a); (x) < (b); (x)++)
#define f(x, n) for (int (x) = 0; (x) < (n); (x)++)
#define fnp(x, a, b) for (int (x) = (b) - 1; (x) >= (a); (x)--)
#define fn(x, n) for (int (x) = (n - 1); (x) >= 0; (x)--)
#define sgn(x) (x) > 0 ? 1 : (x) == 0 ? 0 : -1
#define gcd(a, b) __gcd((a), (b))
#define lcm(a, b) (a) * (b) / gcd((a), (b))
#define x first
#define y second
#define mp make_pair 
#define pb push_back
#define s(x) x.size()
#define all(x) x.begin(), x.end()
#define ans(x) cout<<(x)<<"\n"
#define yes cout<<"YES\n";
#define no cout<<"NO\n";
#define fl cout.flush()
#define debarr(x, n) f(i, (n)){cout<<(x)[i]<<" ";}cout<<"\n"
#define debgr(x, n) f(i, (n)){f(j, s((x)[i])){cout<<(x)[i][j]<<" ";}cout<<"\n";}

 
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
 
void input();
void compute();
 
int main() {
	int T = 1;
	//cin >> T;
	while(T--) {
		input();
		compute();
	}
	return 0;
}
 
int n;
int m;
int kk;
int cnt[2];
int parity[2];
int par;
ll w;
ll good;
bool board[8][8];
ll tab[9][9][9][9];

void input() {
	string tmp;
	cin >> n >> m;
	kk = 0;
	cnt[0] = cnt[1] = 0;
	par = 0;
	parity[0] = parity[1] = 0;
	w = good = 0;
	f(i, 8) {
		f(j, 8) {
			board[i][j] = false;
		}
	}
	f(i, n) {
		cin >> tmp;
		f(j, m) {
			if(tmp[j] == 'O') {
				cnt[(i + j) % 2]++;
				kk++;
			}
		}
	}
	f(i, n) {
		cin >> tmp;
		f(j, m) {
			if(tmp[j] == 'O') {
				board[i][j] = true;
				parity[(i + j) % 2]++;
			}
		}
	}
}

void preproc() {
	tab[1][2][0][1] = 1;
	tab[1][2][1][0] = 1;
	tab[1][3][0][1] = 2;
	tab[1][3][1][0] = 2;
	tab[1][3][0][2] = 0;
	tab[1][3][1][1] = 2;
	tab[1][3][2][0] = 2;
	tab[1][4][0][1] = 3;
	tab[1][4][1][0] = 3;
	tab[1][4][0][2] = 3;
	tab[1][4][1][1] = 6;
	tab[1][4][2][0] = 3;
	tab[1][4][0][3] = 0;
	tab[1][4][1][2] = 3;
	tab[1][4][2][1] = 3;
	tab[1][4][3][0] = 0;
	tab[1][5][0][1] = 4;
	tab[1][5][1][0] = 4;
	tab[1][5][0][2] = 4;
	tab[1][5][1][1] = 12;
	tab[1][5][2][0] = 8;
	tab[1][5][0][3] = 0;
	tab[1][5][1][2] = 8;
	tab[1][5][2][1] = 12;
	tab[1][5][3][0] = 4;
	tab[1][5][0][4] = 0;
	tab[1][5][1][3] = 0;
	tab[1][5][2][2] = 4;
	tab[1][5][3][1] = 4;
	tab[1][5][4][0] = 0;
	tab[1][6][0][1] = 5;
	tab[1][6][1][0] = 5;
	tab[1][6][0][2] = 10;
	tab[1][6][1][1] = 20;
	tab[1][6][2][0] = 10;
	tab[1][6][0][3] = 5;
	tab[1][6][1][2] = 25;
	tab[1][6][2][1] = 25;
	tab[1][6][3][0] = 5;
	tab[1][6][0][4] = 0;
	tab[1][6][1][3] = 10;
	tab[1][6][2][2] = 20;
	tab[1][6][3][1] = 10;
	tab[1][6][4][0] = 0;
	tab[1][6][0][5] = 0;
	tab[1][6][1][4] = 0;
	tab[1][6][2][3] = 5;
	tab[1][6][3][2] = 5;
	tab[1][6][4][1] = 0;
	tab[1][6][5][0] = 0;
	tab[1][7][0][1] = 6;
	tab[1][7][1][0] = 6;
	tab[1][7][0][2] = 12;
	tab[1][7][1][1] = 30;
	tab[1][7][2][0] = 18;
	tab[1][7][0][3] = 6;
	tab[1][7][1][2] = 42;
	tab[1][7][2][1] = 54;
	tab[1][7][3][0] = 18;
	tab[1][7][0][4] = 0;
	tab[1][7][1][3] = 18;
	tab[1][7][2][2] = 54;
	tab[1][7][3][1] = 42;
	tab[1][7][4][0] = 6;
	tab[1][7][0][5] = 0;
	tab[1][7][1][4] = 0;
	tab[1][7][2][3] = 18;
	tab[1][7][3][2] = 30;
	tab[1][7][4][1] = 12;
	tab[1][7][5][0] = 0;
	tab[1][7][0][6] = 0;
	tab[1][7][1][5] = 0;
	tab[1][7][2][4] = 0;
	tab[1][7][3][3] = 6;
	tab[1][7][4][2] = 6;
	tab[1][7][5][1] = 0;
	tab[1][7][6][0] = 0;
	tab[1][8][0][1] = 7;
	tab[1][8][1][0] = 7;
	tab[1][8][0][2] = 21;
	tab[1][8][1][1] = 42;
	tab[1][8][2][0] = 21;
	tab[1][8][0][3] = 21;
	tab[1][8][1][2] = 84;
	tab[1][8][2][1] = 84;
	tab[1][8][3][0] = 21;
	tab[1][8][0][4] = 7;
	tab[1][8][1][3] = 70;
	tab[1][8][2][2] = 126;
	tab[1][8][3][1] = 70;
	tab[1][8][4][0] = 7;
	tab[1][8][0][5] = 0;
	tab[1][8][1][4] = 21;
	tab[1][8][2][3] = 84;
	tab[1][8][3][2] = 84;
	tab[1][8][4][1] = 21;
	tab[1][8][5][0] = 0;
	tab[1][8][0][6] = 0;
	tab[1][8][1][5] = 0;
	tab[1][8][2][4] = 21;
	tab[1][8][3][3] = 42;
	tab[1][8][4][2] = 21;
	tab[1][8][5][1] = 0;
	tab[1][8][6][0] = 0;
	tab[1][8][0][7] = 0;
	tab[1][8][1][6] = 0;
	tab[1][8][2][5] = 0;
	tab[1][8][3][4] = 7;
	tab[1][8][4][3] = 7;
	tab[1][8][5][2] = 0;
	tab[1][8][6][1] = 0;
	tab[1][8][7][0] = 0;
	tab[2][1][0][1] = 1;
	tab[2][1][1][0] = 1;
	tab[2][2][0][1] = 4;
	tab[2][2][1][0] = 4;
	tab[2][2][0][2] = 4;
	tab[2][2][1][1] = 8;
	tab[2][2][2][0] = 4;
	tab[2][2][0][3] = 0;
	tab[2][2][1][2] = 4;
	tab[2][2][2][1] = 4;
	tab[2][2][3][0] = 0;
	tab[2][3][0][1] = 7;
	tab[2][3][1][0] = 7;
	tab[2][3][0][2] = 14;
	tab[2][3][1][1] = 28;
	tab[2][3][2][0] = 14;
	tab[2][3][0][3] = 7;
	tab[2][3][1][2] = 35;
	tab[2][3][2][1] = 35;
	tab[2][3][3][0] = 7;
	tab[2][3][0][4] = 0;
	tab[2][3][1][3] = 14;
	tab[2][3][2][2] = 28;
	tab[2][3][3][1] = 14;
	tab[2][3][4][0] = 0;
	tab[2][3][0][5] = 0;
	tab[2][3][1][4] = 0;
	tab[2][3][2][3] = 7;
	tab[2][3][3][2] = 7;
	tab[2][3][4][1] = 0;
	tab[2][3][5][0] = 0;
	tab[2][4][0][1] = 10;
	tab[2][4][1][0] = 10;
	tab[2][4][0][2] = 30;
	tab[2][4][1][1] = 60;
	tab[2][4][2][0] = 30;
	tab[2][4][0][3] = 30;
	tab[2][4][1][2] = 120;
	tab[2][4][2][1] = 120;
	tab[2][4][3][0] = 30;
	tab[2][4][0][4] = 10;
	tab[2][4][1][3] = 100;
	tab[2][4][2][2] = 180;
	tab[2][4][3][1] = 100;
	tab[2][4][4][0] = 10;
	tab[2][4][0][5] = 0;
	tab[2][4][1][4] = 30;
	tab[2][4][2][3] = 120;
	tab[2][4][3][2] = 120;
	tab[2][4][4][1] = 30;
	tab[2][4][5][0] = 0;
	tab[2][4][0][6] = 0;
	tab[2][4][1][5] = 0;
	tab[2][4][2][4] = 30;
	tab[2][4][3][3] = 60;
	tab[2][4][4][2] = 30;
	tab[2][4][5][1] = 0;
	tab[2][4][6][0] = 0;
	tab[2][4][0][7] = 0;
	tab[2][4][1][6] = 0;
	tab[2][4][2][5] = 0;
	tab[2][4][3][4] = 10;
	tab[2][4][4][3] = 10;
	tab[2][4][5][2] = 0;
	tab[2][4][6][1] = 0;
	tab[2][4][7][0] = 0;
	tab[2][5][0][1] = 13;
	tab[2][5][1][0] = 13;
	tab[2][5][0][2] = 52;
	tab[2][5][1][1] = 104;
	tab[2][5][2][0] = 52;
	tab[2][5][0][3] = 78;
	tab[2][5][1][2] = 286;
	tab[2][5][2][1] = 286;
	tab[2][5][3][0] = 78;
	tab[2][5][0][4] = 52;
	tab[2][5][1][3] = 364;
	tab[2][5][2][2] = 624;
	tab[2][5][3][1] = 364;
	tab[2][5][4][0] = 52;
	tab[2][5][0][5] = 13;
	tab[2][5][1][4] = 221;
	tab[2][5][2][3] = 676;
	tab[2][5][3][2] = 676;
	tab[2][5][4][1] = 221;
	tab[2][5][5][0] = 13;
	tab[2][5][0][6] = 0;
	tab[2][5][1][5] = 52;
	tab[2][5][2][4] = 364;
	tab[2][5][3][3] = 624;
	tab[2][5][4][2] = 364;
	tab[2][5][5][1] = 52;
	tab[2][5][6][0] = 0;
	tab[2][5][0][7] = 0;
	tab[2][5][1][6] = 0;
	tab[2][5][2][5] = 78;
	tab[2][5][3][4] = 286;
	tab[2][5][4][3] = 286;
	tab[2][5][5][2] = 78;
	tab[2][5][6][1] = 0;
	tab[2][5][7][0] = 0;
	tab[2][5][0][8] = 0;
	tab[2][5][1][7] = 0;
	tab[2][5][2][6] = 0;
	tab[2][5][3][5] = 52;
	tab[2][5][4][4] = 104;
	tab[2][5][5][3] = 52;
	tab[2][5][6][2] = 0;
	tab[2][5][7][1] = 0;
	tab[2][5][8][0] = 0;
	tab[2][6][0][1] = 16;
	tab[2][6][1][0] = 16;
	tab[2][6][0][2] = 80;
	tab[2][6][1][1] = 160;
	tab[2][6][2][0] = 80;
	tab[2][6][0][3] = 160;
	tab[2][6][1][2] = 560;
	tab[2][6][2][1] = 560;
	tab[2][6][3][0] = 160;
	tab[2][6][0][4] = 160;
	tab[2][6][1][3] = 960;
	tab[2][6][2][2] = 1600;
	tab[2][6][3][1] = 960;
	tab[2][6][4][0] = 160;
	tab[2][6][0][5] = 80;
	tab[2][6][1][4] = 880;
	tab[2][6][2][3] = 2400;
	tab[2][6][3][2] = 2400;
	tab[2][6][4][1] = 880;
	tab[2][6][5][0] = 80;
	tab[2][6][0][6] = 16;
	tab[2][6][1][5] = 416;
	tab[2][6][2][4] = 2000;
	tab[2][6][3][3] = 3200;
	tab[2][6][4][2] = 2000;
	tab[2][6][5][1] = 416;
	tab[2][6][6][0] = 16;
	tab[2][6][0][7] = 0;
	tab[2][6][1][6] = 80;
	tab[2][6][2][5] = 880;
	tab[2][6][3][4] = 2400;
	tab[2][6][4][3] = 2400;
	tab[2][6][5][2] = 880;
	tab[2][6][6][1] = 80;
	tab[2][6][7][0] = 0;
	tab[2][6][0][8] = 0;
	tab[2][6][1][7] = 0;
	tab[2][6][2][6] = 160;
	tab[2][6][3][5] = 960;
	tab[2][6][4][4] = 1600;
	tab[2][6][5][3] = 960;
	tab[2][6][6][2] = 160;
	tab[2][6][7][1] = 0;
	tab[2][6][8][0] = 0;
	tab[2][7][0][1] = 19;
	tab[2][7][1][0] = 19;
	tab[2][7][0][2] = 114;
	tab[2][7][1][1] = 228;
	tab[2][7][2][0] = 114;
	tab[2][7][0][3] = 285;
	tab[2][7][1][2] = 969;
	tab[2][7][2][1] = 969;
	tab[2][7][3][0] = 285;
	tab[2][7][0][4] = 380;
	tab[2][7][1][3] = 2090;
	tab[2][7][2][2] = 3420;
	tab[2][7][3][1] = 2090;
	tab[2][7][4][0] = 380;
	tab[2][7][0][5] = 285;
	tab[2][7][1][4] = 2565;
	tab[2][7][2][3] = 6555;
	tab[2][7][3][2] = 6555;
	tab[2][7][4][1] = 2565;
	tab[2][7][5][0] = 285;
	tab[2][7][0][6] = 114;
	tab[2][7][1][5] = 1824;
	tab[2][7][2][4] = 7410;
	tab[2][7][3][3] = 11400;
	tab[2][7][4][2] = 7410;
	tab[2][7][5][1] = 1824;
	tab[2][7][6][0] = 114;
	tab[2][7][0][7] = 19;
	tab[2][7][1][6] = 703;
	tab[2][7][2][5] = 4959;
	tab[2][7][3][4] = 11875;
	tab[2][7][4][3] = 11875;
	tab[2][7][5][2] = 4959;
	tab[2][7][6][1] = 703;
	tab[2][7][7][0] = 19;
	tab[2][7][0][8] = 0;
	tab[2][7][1][7] = 114;
	tab[2][7][2][6] = 1824;
	tab[2][7][3][5] = 7410;
	tab[2][7][4][4] = 11400;
	tab[2][7][5][3] = 7410;
	tab[2][7][6][2] = 1824;
	tab[2][7][7][1] = 114;
	tab[2][7][8][0] = 0;
	tab[2][8][0][1] = 22;
	tab[2][8][1][0] = 22;
	tab[2][8][0][2] = 154;
	tab[2][8][1][1] = 308;
	tab[2][8][2][0] = 154;
	tab[2][8][0][3] = 462;
	tab[2][8][1][2] = 1540;
	tab[2][8][2][1] = 1540;
	tab[2][8][3][0] = 462;
	tab[2][8][0][4] = 770;
	tab[2][8][1][3] = 4004;
	tab[2][8][2][2] = 6468;
	tab[2][8][3][1] = 4004;
	tab[2][8][4][0] = 770;
	tab[2][8][0][5] = 770;
	tab[2][8][1][4] = 6160;
	tab[2][8][2][3] = 15092;
	tab[2][8][3][2] = 15092;
	tab[2][8][4][1] = 6160;
	tab[2][8][5][0] = 770;
	tab[2][8][0][6] = 462;
	tab[2][8][1][5] = 5852;
	tab[2][8][2][4] = 21560;
	tab[2][8][3][3] = 32340;
	tab[2][8][4][2] = 21560;
	tab[2][8][5][1] = 5852;
	tab[2][8][6][0] = 462;
	tab[2][8][0][7] = 154;
	tab[2][8][1][6] = 3388;
	tab[2][8][2][5] = 19404;
	tab[2][8][3][4] = 43120;
	tab[2][8][4][3] = 43120;
	tab[2][8][5][2] = 19404;
	tab[2][8][6][1] = 3388;
	tab[2][8][7][0] = 154;
	tab[2][8][0][8] = 22;
	tab[2][8][1][7] = 1100;
	tab[2][8][2][6] = 10780;
	tab[2][8][3][5] = 36652;
	tab[2][8][4][4] = 53900;
	tab[2][8][5][3] = 36652;
	tab[2][8][6][2] = 10780;
	tab[2][8][7][1] = 1100;
	tab[2][8][8][0] = 22;
	tab[3][1][0][1] = 2;
	tab[3][1][1][0] = 2;
	tab[3][1][0][2] = 0;
	tab[3][1][1][1] = 2;
	tab[3][1][2][0] = 2;
	tab[3][2][0][1] = 7;
	tab[3][2][1][0] = 7;
	tab[3][2][0][2] = 14;
	tab[3][2][1][1] = 28;
	tab[3][2][2][0] = 14;
	tab[3][2][0][3] = 7;
	tab[3][2][1][2] = 35;
	tab[3][2][2][1] = 35;
	tab[3][2][3][0] = 7;
	tab[3][2][0][4] = 0;
	tab[3][2][1][3] = 14;
	tab[3][2][2][2] = 28;
	tab[3][2][3][1] = 14;
	tab[3][2][4][0] = 0;
	tab[3][2][0][5] = 0;
	tab[3][2][1][4] = 0;
	tab[3][2][2][3] = 7;
	tab[3][2][3][2] = 7;
	tab[3][2][4][1] = 0;
	tab[3][2][5][0] = 0;
	tab[3][3][0][1] = 12;
	tab[3][3][1][0] = 12;
	tab[3][3][0][2] = 36;
	tab[3][3][1][1] = 84;
	tab[3][3][2][0] = 48;
	tab[3][3][0][3] = 36;
	tab[3][3][1][2] = 180;
	tab[3][3][2][1] = 216;
	tab[3][3][3][0] = 72;
	tab[3][3][0][4] = 12;
	tab[3][3][1][3] = 156;
	tab[3][3][2][2] = 360;
	tab[3][3][3][1] = 264;
	tab[3][3][4][0] = 48;
	tab[3][3][0][5] = 0;
	tab[3][3][1][4] = 48;
	tab[3][3][2][3] = 264;
	tab[3][3][3][2] = 360;
	tab[3][3][4][1] = 156;
	tab[3][3][5][0] = 12;
	tab[3][3][0][6] = 0;
	tab[3][3][1][5] = 0;
	tab[3][3][2][4] = 72;
	tab[3][3][3][3] = 216;
	tab[3][3][4][2] = 180;
	tab[3][3][5][1] = 36;
	tab[3][3][6][0] = 0;
	tab[3][3][0][7] = 0;
	tab[3][3][1][6] = 0;
	tab[3][3][2][5] = 0;
	tab[3][3][3][4] = 48;
	tab[3][3][4][3] = 84;
	tab[3][3][5][2] = 36;
	tab[3][3][6][1] = 0;
	tab[3][3][7][0] = 0;
	tab[3][3][0][8] = 0;
	tab[3][3][1][7] = 0;
	tab[3][3][2][6] = 0;
	tab[3][3][3][5] = 0;
	tab[3][3][4][4] = 12;
	tab[3][3][5][3] = 12;
	tab[3][3][6][2] = 0;
	tab[3][3][7][1] = 0;
	tab[3][3][8][0] = 0;
	tab[3][4][0][1] = 17;
	tab[3][4][1][0] = 17;
	tab[3][4][0][2] = 85;
	tab[3][4][1][1] = 170;
	tab[3][4][2][0] = 85;
	tab[3][4][0][3] = 170;
	tab[3][4][1][2] = 595;
	tab[3][4][2][1] = 595;
	tab[3][4][3][0] = 170;
	tab[3][4][0][4] = 170;
	tab[3][4][1][3] = 1020;
	tab[3][4][2][2] = 1700;
	tab[3][4][3][1] = 1020;
	tab[3][4][4][0] = 170;
	tab[3][4][0][5] = 85;
	tab[3][4][1][4] = 935;
	tab[3][4][2][3] = 2550;
	tab[3][4][3][2] = 2550;
	tab[3][4][4][1] = 935;
	tab[3][4][5][0] = 85;
	tab[3][4][0][6] = 17;
	tab[3][4][1][5] = 442;
	tab[3][4][2][4] = 2125;
	tab[3][4][3][3] = 3400;
	tab[3][4][4][2] = 2125;
	tab[3][4][5][1] = 442;
	tab[3][4][6][0] = 17;
	tab[3][4][0][7] = 0;
	tab[3][4][1][6] = 85;
	tab[3][4][2][5] = 935;
	tab[3][4][3][4] = 2550;
	tab[3][4][4][3] = 2550;
	tab[3][4][5][2] = 935;
	tab[3][4][6][1] = 85;
	tab[3][4][7][0] = 0;
	tab[3][4][0][8] = 0;
	tab[3][4][1][7] = 0;
	tab[3][4][2][6] = 170;
	tab[3][4][3][5] = 1020;
	tab[3][4][4][4] = 1700;
	tab[3][4][5][3] = 1020;
	tab[3][4][6][2] = 170;
	tab[3][4][7][1] = 0;
	tab[3][4][8][0] = 0;
	tab[3][5][0][1] = 22;
	tab[3][5][1][0] = 22;
	tab[3][5][0][2] = 132;
	tab[3][5][1][1] = 286;
	tab[3][5][2][0] = 154;
	tab[3][5][0][3] = 330;
	tab[3][5][1][2] = 1254;
	tab[3][5][2][1] = 1386;
	tab[3][5][3][0] = 462;
	tab[3][5][0][4] = 440;
	tab[3][5][1][3] = 2750;
	tab[3][5][2][2] = 5082;
	tab[3][5][3][1] = 3542;
	tab[3][5][4][0] = 770;
	tab[3][5][0][5] = 330;
	tab[3][5][1][4] = 3410;
	tab[3][5][2][3] = 10010;
	tab[3][5][3][2] = 11550;
	tab[3][5][4][1] = 5390;
	tab[3][5][5][0] = 770;
	tab[3][5][0][6] = 132;
	tab[3][5][1][5] = 2442;
	tab[3][5][2][4] = 11550;
	tab[3][5][3][3] = 20790;
	tab[3][5][4][2] = 16170;
	tab[3][5][5][1] = 5082;
	tab[3][5][6][0] = 462;
	tab[3][5][0][7] = 22;
	tab[3][5][1][6] = 946;
	tab[3][5][2][5] = 7854;
	tab[3][5][3][4] = 22330;
	tab[3][5][4][3] = 26950;
	tab[3][5][5][2] = 14322;
	tab[3][5][6][1] = 2926;
	tab[3][5][7][0] = 154;
	tab[3][5][0][8] = 0;
	tab[3][5][1][7] = 154;
	tab[3][5][2][6] = 2926;
	tab[3][5][3][5] = 14322;
	tab[3][5][4][4] = 26950;
	tab[3][5][5][3] = 22330;
	tab[3][5][6][2] = 7854;
	tab[3][5][7][1] = 946;
	tab[3][5][8][0] = 22;
	tab[3][6][0][1] = 27;
	tab[3][6][1][0] = 27;
	tab[3][6][0][2] = 216;
	tab[3][6][1][1] = 432;
	tab[3][6][2][0] = 216;
	tab[3][6][0][3] = 756;
	tab[3][6][1][2] = 2484;
	tab[3][6][2][1] = 2484;
	tab[3][6][3][0] = 756;
	tab[3][6][0][4] = 1512;
	tab[3][6][1][3] = 7560;
	tab[3][6][2][2] = 12096;
	tab[3][6][3][1] = 7560;
	tab[3][6][4][0] = 1512;
	tab[3][6][0][5] = 1890;
	tab[3][6][1][4] = 13986;
	tab[3][6][2][3] = 33264;
	tab[3][6][3][2] = 33264;
	tab[3][6][4][1] = 13986;
	tab[3][6][5][0] = 1890;
	tab[3][6][0][6] = 1512;
	tab[3][6][1][5] = 16632;
	tab[3][6][2][4] = 57456;
	tab[3][6][3][3] = 84672;
	tab[3][6][4][2] = 57456;
	tab[3][6][5][1] = 16632;
	tab[3][6][6][0] = 1512;
	tab[3][6][0][7] = 756;
	tab[3][6][1][6] = 12852;
	tab[3][6][2][5] = 65016;
	tab[3][6][3][4] = 137592;
	tab[3][6][4][3] = 137592;
	tab[3][6][5][2] = 65016;
	tab[3][6][6][1] = 12852;
	tab[3][6][7][0] = 756;
	tab[3][6][0][8] = 216;
	tab[3][6][1][7] = 6264;
	tab[3][6][2][6] = 48384;
	tab[3][6][3][5] = 148176;
	tab[3][6][4][4] = 211680;
	tab[3][6][5][3] = 148176;
	tab[3][6][6][2] = 48384;
	tab[3][6][7][1] = 6264;
	tab[3][6][8][0] = 216;
	tab[3][7][0][1] = 32;
	tab[3][7][1][0] = 32;
	tab[3][7][0][2] = 288;
	tab[3][7][1][1] = 608;
	tab[3][7][2][0] = 320;
	tab[3][7][0][3] = 1152;
	tab[3][7][1][2] = 4032;
	tab[3][7][2][1] = 4320;
	tab[3][7][3][0] = 1440;
	tab[3][7][0][4] = 2688;
	tab[3][7][1][3] = 14208;
	tab[3][7][2][2] = 24480;
	tab[3][7][3][1] = 16800;
	tab[3][7][4][0] = 3840;
	tab[3][7][0][5] = 4032;
	tab[3][7][1][4] = 30912;
	tab[3][7][2][3] = 78720;
	tab[3][7][3][2] = 86400;
	tab[3][7][4][1] = 41280;
	tab[3][7][5][0] = 6720;
	tab[3][7][0][6] = 4032;
	tab[3][7][1][5] = 44352;
	tab[3][7][2][4] = 161280;
	tab[3][7][3][3] = 259200;
	tab[3][7][4][2] = 198720;
	tab[3][7][5][1] = 68544;
	tab[3][7][6][0] = 8064;
	tab[3][7][0][7] = 2688;
	tab[3][7][1][6] = 43008;
	tab[3][7][2][5] = 221760;
	tab[3][7][3][4] = 504000;
	tab[3][7][4][3] = 564480;
	tab[3][7][5][2] = 314496;
	tab[3][7][6][1] = 79296;
	tab[3][7][7][0] = 6720;
	tab[3][7][0][8] = 1152;
	tab[3][7][1][7] = 28032;
	tab[3][7][2][6] = 208320;
	tab[3][7][3][5] = 665280;
	tab[3][7][4][4] = 1048320;
	tab[3][7][5][3] = 854784;
	tab[3][7][6][2] = 350784;
	tab[3][7][7][1] = 64320;
	tab[3][7][8][0] = 3840;
	tab[3][8][0][1] = 37;
	tab[3][8][1][0] = 37;
	tab[3][8][0][2] = 407;
	tab[3][8][1][1] = 814;
	tab[3][8][2][0] = 407;
	tab[3][8][0][3] = 2035;
	tab[3][8][1][2] = 6512;
	tab[3][8][2][1] = 6512;
	tab[3][8][3][0] = 2035;
	tab[3][8][0][4] = 6105;
	tab[3][8][1][3] = 28490;
	tab[3][8][2][2] = 44770;
	tab[3][8][3][1] = 28490;
	tab[3][8][4][0] = 6105;
	tab[3][8][0][5] = 12210;
	tab[3][8][1][4] = 79365;
	tab[3][8][2][3] = 179080;
	tab[3][8][3][2] = 179080;
	tab[3][8][4][1] = 79365;
	tab[3][8][5][0] = 12210;
	tab[3][8][0][6] = 17094;
	tab[3][8][1][5] = 151404;
	tab[3][8][2][4] = 470085;
	tab[3][8][3][3] = 671550;
	tab[3][8][4][2] = 470085;
	tab[3][8][5][1] = 151404;
	tab[3][8][6][0] = 17094;
	tab[3][8][0][7] = 17094;
	tab[3][8][1][6] = 205128;
	tab[3][8][2][5] = 859584;
	tab[3][8][3][4] = 1678875;
	tab[3][8][4][3] = 1678875;
	tab[3][8][5][2] = 859584;
	tab[3][8][6][1] = 205128;
	tab[3][8][7][0] = 17094;
	tab[3][8][0][8] = 12210;
	tab[3][8][1][7] = 200244;
	tab[3][8][2][6] = 1128204;
	tab[3][8][3][5] = 2954820;
	tab[3][8][4][4] = 4029300;
	tab[3][8][5][3] = 2954820;
	tab[3][8][6][2] = 1128204;
	tab[3][8][7][1] = 200244;
	tab[3][8][8][0] = 12210;
	tab[4][1][0][1] = 3;
	tab[4][1][1][0] = 3;
	tab[4][1][0][2] = 3;
	tab[4][1][1][1] = 6;
	tab[4][1][2][0] = 3;
	tab[4][1][0][3] = 0;
	tab[4][1][1][2] = 3;
	tab[4][1][2][1] = 3;
	tab[4][1][3][0] = 0;
	tab[4][2][0][1] = 10;
	tab[4][2][1][0] = 10;
	tab[4][2][0][2] = 30;
	tab[4][2][1][1] = 60;
	tab[4][2][2][0] = 30;
	tab[4][2][0][3] = 30;
	tab[4][2][1][2] = 120;
	tab[4][2][2][1] = 120;
	tab[4][2][3][0] = 30;
	tab[4][2][0][4] = 10;
	tab[4][2][1][3] = 100;
	tab[4][2][2][2] = 180;
	tab[4][2][3][1] = 100;
	tab[4][2][4][0] = 10;
	tab[4][2][0][5] = 0;
	tab[4][2][1][4] = 30;
	tab[4][2][2][3] = 120;
	tab[4][2][3][2] = 120;
	tab[4][2][4][1] = 30;
	tab[4][2][5][0] = 0;
	tab[4][2][0][6] = 0;
	tab[4][2][1][5] = 0;
	tab[4][2][2][4] = 30;
	tab[4][2][3][3] = 60;
	tab[4][2][4][2] = 30;
	tab[4][2][5][1] = 0;
	tab[4][2][6][0] = 0;
	tab[4][2][0][7] = 0;
	tab[4][2][1][6] = 0;
	tab[4][2][2][5] = 0;
	tab[4][2][3][4] = 10;
	tab[4][2][4][3] = 10;
	tab[4][2][5][2] = 0;
	tab[4][2][6][1] = 0;
	tab[4][2][7][0] = 0;
	tab[4][3][0][1] = 17;
	tab[4][3][1][0] = 17;
	tab[4][3][0][2] = 85;
	tab[4][3][1][1] = 170;
	tab[4][3][2][0] = 85;
	tab[4][3][0][3] = 170;
	tab[4][3][1][2] = 595;
	tab[4][3][2][1] = 595;
	tab[4][3][3][0] = 170;
	tab[4][3][0][4] = 170;
	tab[4][3][1][3] = 1020;
	tab[4][3][2][2] = 1700;
	tab[4][3][3][1] = 1020;
	tab[4][3][4][0] = 170;
	tab[4][3][0][5] = 85;
	tab[4][3][1][4] = 935;
	tab[4][3][2][3] = 2550;
	tab[4][3][3][2] = 2550;
	tab[4][3][4][1] = 935;
	tab[4][3][5][0] = 85;
	tab[4][3][0][6] = 17;
	tab[4][3][1][5] = 442;
	tab[4][3][2][4] = 2125;
	tab[4][3][3][3] = 3400;
	tab[4][3][4][2] = 2125;
	tab[4][3][5][1] = 442;
	tab[4][3][6][0] = 17;
	tab[4][3][0][7] = 0;
	tab[4][3][1][6] = 85;
	tab[4][3][2][5] = 935;
	tab[4][3][3][4] = 2550;
	tab[4][3][4][3] = 2550;
	tab[4][3][5][2] = 935;
	tab[4][3][6][1] = 85;
	tab[4][3][7][0] = 0;
	tab[4][3][0][8] = 0;
	tab[4][3][1][7] = 0;
	tab[4][3][2][6] = 170;
	tab[4][3][3][5] = 1020;
	tab[4][3][4][4] = 1700;
	tab[4][3][5][3] = 1020;
	tab[4][3][6][2] = 170;
	tab[4][3][7][1] = 0;
	tab[4][3][8][0] = 0;
	tab[4][4][0][1] = 24;
	tab[4][4][1][0] = 24;
	tab[4][4][0][2] = 168;
	tab[4][4][1][1] = 336;
	tab[4][4][2][0] = 168;
	tab[4][4][0][3] = 504;
	tab[4][4][1][2] = 1680;
	tab[4][4][2][1] = 1680;
	tab[4][4][3][0] = 504;
	tab[4][4][0][4] = 840;
	tab[4][4][1][3] = 4368;
	tab[4][4][2][2] = 7056;
	tab[4][4][3][1] = 4368;
	tab[4][4][4][0] = 840;
	tab[4][4][0][5] = 840;
	tab[4][4][1][4] = 6720;
	tab[4][4][2][3] = 16464;
	tab[4][4][3][2] = 16464;
	tab[4][4][4][1] = 6720;
	tab[4][4][5][0] = 840;
	tab[4][4][0][6] = 504;
	tab[4][4][1][5] = 6384;
	tab[4][4][2][4] = 23520;
	tab[4][4][3][3] = 35280;
	tab[4][4][4][2] = 23520;
	tab[4][4][5][1] = 6384;
	tab[4][4][6][0] = 504;
	tab[4][4][0][7] = 168;
	tab[4][4][1][6] = 3696;
	tab[4][4][2][5] = 21168;
	tab[4][4][3][4] = 47040;
	tab[4][4][4][3] = 47040;
	tab[4][4][5][2] = 21168;
	tab[4][4][6][1] = 3696;
	tab[4][4][7][0] = 168;
	tab[4][4][0][8] = 24;
	tab[4][4][1][7] = 1200;
	tab[4][4][2][6] = 11760;
	tab[4][4][3][5] = 39984;
	tab[4][4][4][4] = 58800;
	tab[4][4][5][3] = 39984;
	tab[4][4][6][2] = 11760;
	tab[4][4][7][1] = 1200;
	tab[4][4][8][0] = 24;
	tab[4][5][0][1] = 31;
	tab[4][5][1][0] = 31;
	tab[4][5][0][2] = 279;
	tab[4][5][1][1] = 558;
	tab[4][5][2][0] = 279;
	tab[4][5][0][3] = 1116;
	tab[4][5][1][2] = 3627;
	tab[4][5][2][1] = 3627;
	tab[4][5][3][0] = 1116;
	tab[4][5][0][4] = 2604;
	tab[4][5][1][3] = 12648;
	tab[4][5][2][2] = 20088;
	tab[4][5][3][1] = 12648;
	tab[4][5][4][0] = 2604;
	tab[4][5][0][5] = 3906;
	tab[4][5][1][4] = 27342;
	tab[4][5][2][3] = 63612;
	tab[4][5][3][2] = 63612;
	tab[4][5][4][1] = 27342;
	tab[4][5][5][0] = 3906;
	tab[4][5][0][6] = 3906;
	tab[4][5][1][5] = 39060;
	tab[4][5][2][4] = 128898;
	tab[4][5][3][3] = 187488;
	tab[4][5][4][2] = 128898;
	tab[4][5][5][1] = 39060;
	tab[4][5][6][0] = 3906;
	tab[4][5][0][7] = 2604;
	tab[4][5][1][6] = 37758;
	tab[4][5][2][5] = 175770;
	tab[4][5][3][4] = 359352;
	tab[4][5][4][3] = 359352;
	tab[4][5][5][2] = 175770;
	tab[4][5][6][1] = 37758;
	tab[4][5][7][0] = 2604;
	tab[4][5][0][8] = 1116;
	tab[4][5][1][7] = 24552;
	tab[4][5][2][6] = 164052;
	tab[4][5][3][5] = 468720;
	tab[4][5][4][4] = 656208;
	tab[4][5][5][3] = 468720;
	tab[4][5][6][2] = 164052;
	tab[4][5][7][1] = 24552;
	tab[4][5][8][0] = 1116;
	tab[4][6][0][1] = 38;
	tab[4][6][1][0] = 38;
	tab[4][6][0][2] = 418;
	tab[4][6][1][1] = 836;
	tab[4][6][2][0] = 418;
	tab[4][6][0][3] = 2090;
	tab[4][6][1][2] = 6688;
	tab[4][6][2][1] = 6688;
	tab[4][6][3][0] = 2090;
	tab[4][6][0][4] = 6270;
	tab[4][6][1][3] = 29260;
	tab[4][6][2][2] = 45980;
	tab[4][6][3][1] = 29260;
	tab[4][6][4][0] = 6270;
	tab[4][6][0][5] = 12540;
	tab[4][6][1][4] = 81510;
	tab[4][6][2][3] = 183920;
	tab[4][6][3][2] = 183920;
	tab[4][6][4][1] = 81510;
	tab[4][6][5][0] = 12540;
	tab[4][6][0][6] = 17556;
	tab[4][6][1][5] = 155496;
	tab[4][6][2][4] = 482790;
	tab[4][6][3][3] = 689700;
	tab[4][6][4][2] = 482790;
	tab[4][6][5][1] = 155496;
	tab[4][6][6][0] = 17556;
	tab[4][6][0][7] = 17556;
	tab[4][6][1][6] = 210672;
	tab[4][6][2][5] = 882816;
	tab[4][6][3][4] = 1724250;
	tab[4][6][4][3] = 1724250;
	tab[4][6][5][2] = 882816;
	tab[4][6][6][1] = 210672;
	tab[4][6][7][0] = 17556;
	tab[4][6][0][8] = 12540;
	tab[4][6][1][7] = 205656;
	tab[4][6][2][6] = 1158696;
	tab[4][6][3][5] = 3034680;
	tab[4][6][4][4] = 4138200;
	tab[4][6][5][3] = 3034680;
	tab[4][6][6][2] = 1158696;
	tab[4][6][7][1] = 205656;
	tab[4][6][8][0] = 12540;
	tab[4][7][0][1] = 45;
	tab[4][7][1][0] = 45;
	tab[4][7][0][2] = 585;
	tab[4][7][1][1] = 1170;
	tab[4][7][2][0] = 585;
	tab[4][7][0][3] = 3510;
	tab[4][7][1][2] = 11115;
	tab[4][7][2][1] = 11115;
	tab[4][7][3][0] = 3510;
	tab[4][7][0][4] = 12870;
	tab[4][7][1][3] = 58500;
	tab[4][7][2][2] = 91260;
	tab[4][7][3][1] = 58500;
	tab[4][7][4][0] = 12870;
	tab[4][7][0][5] = 32175;
	tab[4][7][1][4] = 199485;
	tab[4][7][2][3] = 441090;
	tab[4][7][3][2] = 441090;
	tab[4][7][4][1] = 199485;
	tab[4][7][5][0] = 32175;
	tab[4][7][0][6] = 57915;
	tab[4][7][1][5] = 476190;
	tab[4][7][2][4] = 1422135;
	tab[4][7][3][3] = 2007720;
	tab[4][7][4][2] = 1422135;
	tab[4][7][5][1] = 476190;
	tab[4][7][6][0] = 57915;
	tab[4][7][0][7] = 77220;
	tab[4][7][1][6] = 830115;
	tab[4][7][2][5] = 3262545;
	tab[4][7][3][4] = 6190470;
	tab[4][7][4][3] = 6190470;
	tab[4][7][5][2] = 3262545;
	tab[4][7][6][1] = 830115;
	tab[4][7][7][0] = 77220;
	tab[4][7][0][8] = 77220;
	tab[4][7][1][7] = 1081080;
	tab[4][7][2][6] = 5521230;
	tab[4][7][3][5] = 13719420;
	tab[4][7][4][4] = 18404100;
	tab[4][7][5][3] = 13719420;
	tab[4][7][6][2] = 5521230;
	tab[4][7][7][1] = 1081080;
	tab[4][7][8][0] = 77220;
	tab[4][8][0][1] = 52;
	tab[4][8][1][0] = 52;
	tab[4][8][0][2] = 780;
	tab[4][8][1][1] = 1560;
	tab[4][8][2][0] = 780;
	tab[4][8][0][3] = 5460;
	tab[4][8][1][2] = 17160;
	tab[4][8][2][1] = 17160;
	tab[4][8][3][0] = 5460;
	tab[4][8][0][4] = 23660;
	tab[4][8][1][3] = 105560;
	tab[4][8][2][2] = 163800;
	tab[4][8][3][1] = 105560;
	tab[4][8][4][0] = 23660;
	tab[4][8][0][5] = 70980;
	tab[4][8][1][4] = 425880;
	tab[4][8][2][3] = 928200;
	tab[4][8][3][2] = 928200;
	tab[4][8][4][1] = 425880;
	tab[4][8][5][0] = 70980;
	tab[4][8][0][6] = 156156;
	tab[4][8][1][5] = 1220856;
	tab[4][8][2][4] = 3549000;
	tab[4][8][3][3] = 4968600;
	tab[4][8][4][2] = 3549000;
	tab[4][8][5][1] = 1220856;
	tab[4][8][6][0] = 156156;
	tab[4][8][0][7] = 260260;
	tab[4][8][1][6] = 2602600;
	tab[4][8][2][5] = 9795240;
	tab[4][8][3][4] = 18218200;
	tab[4][8][4][3] = 18218200;
	tab[4][8][5][2] = 9795240;
	tab[4][8][6][1] = 2602600;
	tab[4][8][7][0] = 260260;
	tab[4][8][0][8] = 334620;
	tab[4][8][1][7] = 4238520;
	tab[4][8][2][6] = 20300280;
	tab[4][8][3][5] = 48692280;
	tab[4][8][4][4] = 64591800;
	tab[4][8][5][3] = 48692280;
	tab[4][8][6][2] = 20300280;
	tab[4][8][7][1] = 4238520;
	tab[4][8][8][0] = 334620;
	tab[5][1][0][1] = 4;
	tab[5][1][1][0] = 4;
	tab[5][1][0][2] = 4;
	tab[5][1][1][1] = 12;
	tab[5][1][2][0] = 8;
	tab[5][1][0][3] = 0;
	tab[5][1][1][2] = 8;
	tab[5][1][2][1] = 12;
	tab[5][1][3][0] = 4;
	tab[5][1][0][4] = 0;
	tab[5][1][1][3] = 0;
	tab[5][1][2][2] = 4;
	tab[5][1][3][1] = 4;
	tab[5][1][4][0] = 0;
	tab[5][2][0][1] = 13;
	tab[5][2][1][0] = 13;
	tab[5][2][0][2] = 52;
	tab[5][2][1][1] = 104;
	tab[5][2][2][0] = 52;
	tab[5][2][0][3] = 78;
	tab[5][2][1][2] = 286;
	tab[5][2][2][1] = 286;
	tab[5][2][3][0] = 78;
	tab[5][2][0][4] = 52;
	tab[5][2][1][3] = 364;
	tab[5][2][2][2] = 624;
	tab[5][2][3][1] = 364;
	tab[5][2][4][0] = 52;
	tab[5][2][0][5] = 13;
	tab[5][2][1][4] = 221;
	tab[5][2][2][3] = 676;
	tab[5][2][3][2] = 676;
	tab[5][2][4][1] = 221;
	tab[5][2][5][0] = 13;
	tab[5][2][0][6] = 0;
	tab[5][2][1][5] = 52;
	tab[5][2][2][4] = 364;
	tab[5][2][3][3] = 624;
	tab[5][2][4][2] = 364;
	tab[5][2][5][1] = 52;
	tab[5][2][6][0] = 0;
	tab[5][2][0][7] = 0;
	tab[5][2][1][6] = 0;
	tab[5][2][2][5] = 78;
	tab[5][2][3][4] = 286;
	tab[5][2][4][3] = 286;
	tab[5][2][5][2] = 78;
	tab[5][2][6][1] = 0;
	tab[5][2][7][0] = 0;
	tab[5][2][0][8] = 0;
	tab[5][2][1][7] = 0;
	tab[5][2][2][6] = 0;
	tab[5][2][3][5] = 52;
	tab[5][2][4][4] = 104;
	tab[5][2][5][3] = 52;
	tab[5][2][6][2] = 0;
	tab[5][2][7][1] = 0;
	tab[5][2][8][0] = 0;
	tab[5][3][0][1] = 22;
	tab[5][3][1][0] = 22;
	tab[5][3][0][2] = 132;
	tab[5][3][1][1] = 286;
	tab[5][3][2][0] = 154;
	tab[5][3][0][3] = 330;
	tab[5][3][1][2] = 1254;
	tab[5][3][2][1] = 1386;
	tab[5][3][3][0] = 462;
	tab[5][3][0][4] = 440;
	tab[5][3][1][3] = 2750;
	tab[5][3][2][2] = 5082;
	tab[5][3][3][1] = 3542;
	tab[5][3][4][0] = 770;
	tab[5][3][0][5] = 330;
	tab[5][3][1][4] = 3410;
	tab[5][3][2][3] = 10010;
	tab[5][3][3][2] = 11550;
	tab[5][3][4][1] = 5390;
	tab[5][3][5][0] = 770;
	tab[5][3][0][6] = 132;
	tab[5][3][1][5] = 2442;
	tab[5][3][2][4] = 11550;
	tab[5][3][3][3] = 20790;
	tab[5][3][4][2] = 16170;
	tab[5][3][5][1] = 5082;
	tab[5][3][6][0] = 462;
	tab[5][3][0][7] = 22;
	tab[5][3][1][6] = 946;
	tab[5][3][2][5] = 7854;
	tab[5][3][3][4] = 22330;
	tab[5][3][4][3] = 26950;
	tab[5][3][5][2] = 14322;
	tab[5][3][6][1] = 2926;
	tab[5][3][7][0] = 154;
	tab[5][3][0][8] = 0;
	tab[5][3][1][7] = 154;
	tab[5][3][2][6] = 2926;
	tab[5][3][3][5] = 14322;
	tab[5][3][4][4] = 26950;
	tab[5][3][5][3] = 22330;
	tab[5][3][6][2] = 7854;
	tab[5][3][7][1] = 946;
	tab[5][3][8][0] = 22;
	tab[5][4][0][1] = 31;
	tab[5][4][1][0] = 31;
	tab[5][4][0][2] = 279;
	tab[5][4][1][1] = 558;
	tab[5][4][2][0] = 279;
	tab[5][4][0][3] = 1116;
	tab[5][4][1][2] = 3627;
	tab[5][4][2][1] = 3627;
	tab[5][4][3][0] = 1116;
	tab[5][4][0][4] = 2604;
	tab[5][4][1][3] = 12648;
	tab[5][4][2][2] = 20088;
	tab[5][4][3][1] = 12648;
	tab[5][4][4][0] = 2604;
	tab[5][4][0][5] = 3906;
	tab[5][4][1][4] = 27342;
	tab[5][4][2][3] = 63612;
	tab[5][4][3][2] = 63612;
	tab[5][4][4][1] = 27342;
	tab[5][4][5][0] = 3906;
	tab[5][4][0][6] = 3906;
	tab[5][4][1][5] = 39060;
	tab[5][4][2][4] = 128898;
	tab[5][4][3][3] = 187488;
	tab[5][4][4][2] = 128898;
	tab[5][4][5][1] = 39060;
	tab[5][4][6][0] = 3906;
	tab[5][4][0][7] = 2604;
	tab[5][4][1][6] = 37758;
	tab[5][4][2][5] = 175770;
	tab[5][4][3][4] = 359352;
	tab[5][4][4][3] = 359352;
	tab[5][4][5][2] = 175770;
	tab[5][4][6][1] = 37758;
	tab[5][4][7][0] = 2604;
	tab[5][4][0][8] = 1116;
	tab[5][4][1][7] = 24552;
	tab[5][4][2][6] = 164052;
	tab[5][4][3][5] = 468720;
	tab[5][4][4][4] = 656208;
	tab[5][4][5][3] = 468720;
	tab[5][4][6][2] = 164052;
	tab[5][4][7][1] = 24552;
	tab[5][4][8][0] = 1116;
	tab[5][5][0][1] = 40;
	tab[5][5][1][0] = 40;
	tab[5][5][0][2] = 440;
	tab[5][5][1][1] = 920;
	tab[5][5][2][0] = 480;
	tab[5][5][0][3] = 2200;
	tab[5][5][1][2] = 7480;
	tab[5][5][2][1] = 7920;
	tab[5][5][3][0] = 2640;
	tab[5][5][0][4] = 6600;
	tab[5][5][1][3] = 33000;
	tab[5][5][2][2] = 55440;
	tab[5][5][3][1] = 37840;
	tab[5][5][4][0] = 8800;
	tab[5][5][0][5] = 13200;
	tab[5][5][1][4] = 92400;
	tab[5][5][2][3] = 224400;
	tab[5][5][3][2] = 242000;
	tab[5][5][4][1] = 116600;
	tab[5][5][5][0] = 19800;
	tab[5][5][0][6] = 18480;
	tab[5][5][1][5] = 176880;
	tab[5][5][2][4] = 594000;
	tab[5][5][3][3] = 919600;
	tab[5][5][4][2] = 701800;
	tab[5][5][5][1] = 249480;
	tab[5][5][6][0] = 31680;
	tab[5][5][0][7] = 18480;
	tab[5][5][1][6] = 240240;
	tab[5][5][2][5] = 1092960;
	tab[5][5][3][4] = 2323200;
	tab[5][5][4][3] = 2541000;
	tab[5][5][5][2] = 1437480;
	tab[5][5][6][1] = 385440;
	tab[5][5][7][0] = 36960;
	tab[5][5][0][8] = 13200;
	tab[5][5][1][7] = 234960;
	tab[5][5][2][6] = 1441440;
	tab[5][5][3][5] = 4123680;
	tab[5][5][4][4] = 6171000;
	tab[5][5][5][3] = 5009400;
	tab[5][5][6][2] = 2148960;
	tab[5][5][7][1] = 438240;
	tab[5][5][8][0] = 31680;
	tab[5][6][0][1] = 49;
	tab[5][6][1][0] = 49;
	tab[5][6][0][2] = 686;
	tab[5][6][1][1] = 1372;
	tab[5][6][2][0] = 686;
	tab[5][6][0][3] = 4459;
	tab[5][6][1][2] = 14063;
	tab[5][6][2][1] = 14063;
	tab[5][6][3][0] = 4459;
	tab[5][6][0][4] = 17836;
	tab[5][6][1][3] = 80262;
	tab[5][6][2][2] = 124852;
	tab[5][6][3][1] = 80262;
	tab[5][6][4][0] = 17836;
	tab[5][6][0][5] = 49049;
	tab[5][6][1][4] = 298753;
	tab[5][6][2][3] = 655473;
	tab[5][6][3][2] = 655473;
	tab[5][6][4][1] = 298753;
	tab[5][6][5][0] = 49049;
	tab[5][6][0][6] = 98098;
	tab[5][6][1][5] = 784784;
	tab[5][6][2][4] = 2309762;
	tab[5][6][3][3] = 3246152;
	tab[5][6][4][2] = 2309762;
	tab[5][6][5][1] = 784784;
	tab[5][6][6][0] = 98098;
	tab[5][6][0][7] = 147147;
	tab[5][6][1][6] = 1520519;
	tab[5][6][2][5] = 5836831;
	tab[5][6][3][4] = 10955763;
	tab[5][6][4][3] = 10955763;
	tab[5][6][5][2] = 5836831;
	tab[5][6][6][1] = 1520519;
	tab[5][6][7][0] = 147147;
	tab[5][6][0][8] = 168168;
	tab[5][6][1][7] = 2228226;
	tab[5][6][2][6] = 10986976;
	tab[5][6][3][5] = 26780754;
	tab[5][6][4][4] = 35707672;
	tab[5][6][5][3] = 26780754;
	tab[5][6][6][2] = 10986976;
	tab[5][6][7][1] = 2228226;
	tab[5][6][8][0] = 168168;
	tab[5][7][0][1] = 58;
	tab[5][7][1][0] = 58;
	tab[5][7][0][2] = 928;
	tab[5][7][1][1] = 1914;
	tab[5][7][2][0] = 986;
	tab[5][7][0][3] = 6960;
	tab[5][7][1][2] = 22736;
	tab[5][7][2][1] = 23664;
	tab[5][7][3][0] = 7888;
	tab[5][7][0][4] = 32480;
	tab[5][7][1][3] = 150800;
	tab[5][7][2][2] = 244528;
	tab[5][7][3][1] = 165648;
	tab[5][7][4][0] = 39440;
	tab[5][7][0][5] = 105560;
	tab[5][7][1][4] = 657720;
	tab[5][7][2][3] = 1498720;
	tab[5][7][3][2] = 1577600;
	tab[5][7][4][1] = 769080;
	tab[5][7][5][0] = 138040;
	tab[5][7][0][6] = 253344;
	tab[5][7][1][5] = 2047864;
	tab[5][7][2][4] = 6211800;
	tab[5][7][3][3] = 9150080;
	tab[5][7][4][2] = 6941440;
	tab[5][7][5][1] = 2567544;
	tab[5][7][6][0] = 358904;
	tab[5][7][0][7] = 464464;
	tab[5][7][1][6] = 4771312;
	tab[5][7][2][5] = 18663008;
	tab[5][7][3][4] = 36442560;
	tab[5][7][4][3] = 38651200;
	tab[5][7][5][2] = 22307264;
	tab[5][7][6][1] = 6460272;
	tab[5][7][7][0] = 717808;
	tab[5][7][0][8] = 663520;
	tab[5][7][1][7] = 8559408;
	tab[5][7][2][6] = 42350672;
	tab[5][7][3][5] = 106235584;
	tab[5][7][4][4] = 149083200;
	tab[5][7][5][3] = 120370880;
	tab[5][7][6][2] = 54553408;
	tab[5][7][7][1] = 12612912;
	tab[5][7][8][0] = 1127984;
	tab[5][8][0][1] = 67;
	tab[5][8][1][0] = 67;
	tab[5][8][0][2] = 1273;
	tab[5][8][1][1] = 2546;
	tab[5][8][2][0] = 1273;
	tab[5][8][0][3] = 11457;
	tab[5][8][1][2] = 35644;
	tab[5][8][2][1] = 35644;
	tab[5][8][3][0] = 11457;
	tab[5][8][0][4] = 64923;
	tab[5][8][1][3] = 282606;
	tab[5][8][2][2] = 435366;
	tab[5][8][3][1] = 282606;
	tab[5][8][4][0] = 64923;
	tab[5][8][0][5] = 259692;
	tab[5][8][1][4] = 1493229;
	tab[5][8][2][3] = 3192684;
	tab[5][8][3][2] = 3192684;
	tab[5][8][4][1] = 1493229;
	tab[5][8][5][0] = 259692;
	tab[5][8][0][6] = 779076;
	tab[5][8][1][5] = 5713224;
	tab[5][8][2][4] = 16035981;
	tab[5][8][3][3] = 22203666;
	tab[5][8][4][2] = 16035981;
	tab[5][8][5][1] = 5713224;
	tab[5][8][6][0] = 779076;
	tab[5][8][0][7] = 1817844;
	tab[5][8][1][6] = 16620288;
	tab[5][8][2][5] = 59209776;
	tab[5][8][3][4] = 107317719;
	tab[5][8][4][3] = 107317719;
	tab[5][8][5][2] = 59209776;
	tab[5][8][6][1] = 16620288;
	tab[5][8][7][0] = 1817844;
	tab[5][8][0][8] = 3375996;
	tab[5][8][1][7] = 37915032;
	tab[5][8][2][6] = 167761032;
	tab[5][8][3][5] = 384863544;
	tab[5][8][4][4] = 503283096;
	tab[5][8][5][3] = 384863544;
	tab[5][8][6][2] = 167761032;
	tab[5][8][7][1] = 37915032;
	tab[5][8][8][0] = 3375996;
	tab[6][1][0][1] = 5;
	tab[6][1][1][0] = 5;
	tab[6][1][0][2] = 10;
	tab[6][1][1][1] = 20;
	tab[6][1][2][0] = 10;
	tab[6][1][0][3] = 5;
	tab[6][1][1][2] = 25;
	tab[6][1][2][1] = 25;
	tab[6][1][3][0] = 5;
	tab[6][1][0][4] = 0;
	tab[6][1][1][3] = 10;
	tab[6][1][2][2] = 20;
	tab[6][1][3][1] = 10;
	tab[6][1][4][0] = 0;
	tab[6][1][0][5] = 0;
	tab[6][1][1][4] = 0;
	tab[6][1][2][3] = 5;
	tab[6][1][3][2] = 5;
	tab[6][1][4][1] = 0;
	tab[6][1][5][0] = 0;
	tab[6][2][0][1] = 16;
	tab[6][2][1][0] = 16;
	tab[6][2][0][2] = 80;
	tab[6][2][1][1] = 160;
	tab[6][2][2][0] = 80;
	tab[6][2][0][3] = 160;
	tab[6][2][1][2] = 560;
	tab[6][2][2][1] = 560;
	tab[6][2][3][0] = 160;
	tab[6][2][0][4] = 160;
	tab[6][2][1][3] = 960;
	tab[6][2][2][2] = 1600;
	tab[6][2][3][1] = 960;
	tab[6][2][4][0] = 160;
	tab[6][2][0][5] = 80;
	tab[6][2][1][4] = 880;
	tab[6][2][2][3] = 2400;
	tab[6][2][3][2] = 2400;
	tab[6][2][4][1] = 880;
	tab[6][2][5][0] = 80;
	tab[6][2][0][6] = 16;
	tab[6][2][1][5] = 416;
	tab[6][2][2][4] = 2000;
	tab[6][2][3][3] = 3200;
	tab[6][2][4][2] = 2000;
	tab[6][2][5][1] = 416;
	tab[6][2][6][0] = 16;
	tab[6][2][0][7] = 0;
	tab[6][2][1][6] = 80;
	tab[6][2][2][5] = 880;
	tab[6][2][3][4] = 2400;
	tab[6][2][4][3] = 2400;
	tab[6][2][5][2] = 880;
	tab[6][2][6][1] = 80;
	tab[6][2][7][0] = 0;
	tab[6][2][0][8] = 0;
	tab[6][2][1][7] = 0;
	tab[6][2][2][6] = 160;
	tab[6][2][3][5] = 960;
	tab[6][2][4][4] = 1600;
	tab[6][2][5][3] = 960;
	tab[6][2][6][2] = 160;
	tab[6][2][7][1] = 0;
	tab[6][2][8][0] = 0;
	tab[6][3][0][1] = 27;
	tab[6][3][1][0] = 27;
	tab[6][3][0][2] = 216;
	tab[6][3][1][1] = 432;
	tab[6][3][2][0] = 216;
	tab[6][3][0][3] = 756;
	tab[6][3][1][2] = 2484;
	tab[6][3][2][1] = 2484;
	tab[6][3][3][0] = 756;
	tab[6][3][0][4] = 1512;
	tab[6][3][1][3] = 7560;
	tab[6][3][2][2] = 12096;
	tab[6][3][3][1] = 7560;
	tab[6][3][4][0] = 1512;
	tab[6][3][0][5] = 1890;
	tab[6][3][1][4] = 13986;
	tab[6][3][2][3] = 33264;
	tab[6][3][3][2] = 33264;
	tab[6][3][4][1] = 13986;
	tab[6][3][5][0] = 1890;
	tab[6][3][0][6] = 1512;
	tab[6][3][1][5] = 16632;
	tab[6][3][2][4] = 57456;
	tab[6][3][3][3] = 84672;
	tab[6][3][4][2] = 57456;
	tab[6][3][5][1] = 16632;
	tab[6][3][6][0] = 1512;
	tab[6][3][0][7] = 756;
	tab[6][3][1][6] = 12852;
	tab[6][3][2][5] = 65016;
	tab[6][3][3][4] = 137592;
	tab[6][3][4][3] = 137592;
	tab[6][3][5][2] = 65016;
	tab[6][3][6][1] = 12852;
	tab[6][3][7][0] = 756;
	tab[6][3][0][8] = 216;
	tab[6][3][1][7] = 6264;
	tab[6][3][2][6] = 48384;
	tab[6][3][3][5] = 148176;
	tab[6][3][4][4] = 211680;
	tab[6][3][5][3] = 148176;
	tab[6][3][6][2] = 48384;
	tab[6][3][7][1] = 6264;
	tab[6][3][8][0] = 216;
	tab[6][4][0][1] = 38;
	tab[6][4][1][0] = 38;
	tab[6][4][0][2] = 418;
	tab[6][4][1][1] = 836;
	tab[6][4][2][0] = 418;
	tab[6][4][0][3] = 2090;
	tab[6][4][1][2] = 6688;
	tab[6][4][2][1] = 6688;
	tab[6][4][3][0] = 2090;
	tab[6][4][0][4] = 6270;
	tab[6][4][1][3] = 29260;
	tab[6][4][2][2] = 45980;
	tab[6][4][3][1] = 29260;
	tab[6][4][4][0] = 6270;
	tab[6][4][0][5] = 12540;
	tab[6][4][1][4] = 81510;
	tab[6][4][2][3] = 183920;
	tab[6][4][3][2] = 183920;
	tab[6][4][4][1] = 81510;
	tab[6][4][5][0] = 12540;
	tab[6][4][0][6] = 17556;
	tab[6][4][1][5] = 155496;
	tab[6][4][2][4] = 482790;
	tab[6][4][3][3] = 689700;
	tab[6][4][4][2] = 482790;
	tab[6][4][5][1] = 155496;
	tab[6][4][6][0] = 17556;
	tab[6][4][0][7] = 17556;
	tab[6][4][1][6] = 210672;
	tab[6][4][2][5] = 882816;
	tab[6][4][3][4] = 1724250;
	tab[6][4][4][3] = 1724250;
	tab[6][4][5][2] = 882816;
	tab[6][4][6][1] = 210672;
	tab[6][4][7][0] = 17556;
	tab[6][4][0][8] = 12540;
	tab[6][4][1][7] = 205656;
	tab[6][4][2][6] = 1158696;
	tab[6][4][3][5] = 3034680;
	tab[6][4][4][4] = 4138200;
	tab[6][4][5][3] = 3034680;
	tab[6][4][6][2] = 1158696;
	tab[6][4][7][1] = 205656;
	tab[6][4][8][0] = 12540;
	tab[6][5][0][1] = 49;
	tab[6][5][1][0] = 49;
	tab[6][5][0][2] = 686;
	tab[6][5][1][1] = 1372;
	tab[6][5][2][0] = 686;
	tab[6][5][0][3] = 4459;
	tab[6][5][1][2] = 14063;
	tab[6][5][2][1] = 14063;
	tab[6][5][3][0] = 4459;
	tab[6][5][0][4] = 17836;
	tab[6][5][1][3] = 80262;
	tab[6][5][2][2] = 124852;
	tab[6][5][3][1] = 80262;
	tab[6][5][4][0] = 17836;
	tab[6][5][0][5] = 49049;
	tab[6][5][1][4] = 298753;
	tab[6][5][2][3] = 655473;
	tab[6][5][3][2] = 655473;
	tab[6][5][4][1] = 298753;
	tab[6][5][5][0] = 49049;
	tab[6][5][0][6] = 98098;
	tab[6][5][1][5] = 784784;
	tab[6][5][2][4] = 2309762;
	tab[6][5][3][3] = 3246152;
	tab[6][5][4][2] = 2309762;
	tab[6][5][5][1] = 784784;
	tab[6][5][6][0] = 98098;
	tab[6][5][0][7] = 147147;
	tab[6][5][1][6] = 1520519;
	tab[6][5][2][5] = 5836831;
	tab[6][5][3][4] = 10955763;
	tab[6][5][4][3] = 10955763;
	tab[6][5][5][2] = 5836831;
	tab[6][5][6][1] = 1520519;
	tab[6][5][7][0] = 147147;
	tab[6][5][0][8] = 168168;
	tab[6][5][1][7] = 2228226;
	tab[6][5][2][6] = 10986976;
	tab[6][5][3][5] = 26780754;
	tab[6][5][4][4] = 35707672;
	tab[6][5][5][3] = 26780754;
	tab[6][5][6][2] = 10986976;
	tab[6][5][7][1] = 2228226;
	tab[6][5][8][0] = 168168;
	tab[6][6][0][1] = 60;
	tab[6][6][1][0] = 60;
	tab[6][6][0][2] = 1020;
	tab[6][6][1][1] = 2040;
	tab[6][6][2][0] = 1020;
	tab[6][6][0][3] = 8160;
	tab[6][6][1][2] = 25500;
	tab[6][6][2][1] = 25500;
	tab[6][6][3][0] = 8160;
	tab[6][6][0][4] = 40800;
	tab[6][6][1][3] = 179520;
	tab[6][6][2][2] = 277440;
	tab[6][6][3][1] = 179520;
	tab[6][6][4][0] = 40800;
	tab[6][6][0][5] = 142800;
	tab[6][6][1][4] = 836400;
	tab[6][6][2][3] = 1803360;
	tab[6][6][3][2] = 1803360;
	tab[6][6][4][1] = 836400;
	tab[6][6][5][0] = 142800;
	tab[6][6][0][6] = 371280;
	tab[6][6][1][5] = 2798880;
	tab[6][6][2][4] = 7976400;
	tab[6][6][3][3] = 11097600;
	tab[6][6][4][2] = 7976400;
	tab[6][6][5][1] = 2798880;
	tab[6][6][6][0] = 371280;
	tab[6][6][0][7] = 742560;
	tab[6][6][1][6] = 7054320;
	tab[6][6][2][5] = 25732560;
	tab[6][6][3][4] = 47164800;
	tab[6][6][4][3] = 47164800;
	tab[6][6][5][2] = 25732560;
	tab[6][6][6][1] = 7054320;
	tab[6][6][7][0] = 742560;
	tab[6][6][0][8] = 1166880;
	tab[6][6][1][7] = 13790400;
	tab[6][6][2][6] = 63117600;
	tab[6][6][3][5] = 147598080;
	tab[6][6][4][4] = 194208000;
	tab[6][6][5][3] = 147598080;
	tab[6][6][6][2] = 63117600;
	tab[6][6][7][1] = 13790400;
	tab[6][6][8][0] = 1166880;
	tab[6][7][0][1] = 71;
	tab[6][7][1][0] = 71;
	tab[6][7][0][2] = 1420;
	tab[6][7][1][1] = 2840;
	tab[6][7][2][0] = 1420;
	tab[6][7][0][3] = 13490;
	tab[6][7][1][2] = 41890;
	tab[6][7][2][1] = 41890;
	tab[6][7][3][0] = 13490;
	tab[6][7][0][4] = 80940;
	tab[6][7][1][3] = 350740;
	tab[6][7][2][2] = 539600;
	tab[6][7][3][1] = 350740;
	tab[6][7][4][0] = 80940;
	tab[6][7][0][5] = 343995;
	tab[6][7][1][4] = 1962795;
	tab[6][7][2][3] = 4181900;
	tab[6][7][3][2] = 4181900;
	tab[6][7][4][1] = 1962795;
	tab[6][7][5][0] = 343995;
	tab[6][7][0][6] = 1100784;
	tab[6][7][1][5] = 7980684;
	tab[6][7][2][4] = 22258500;
	tab[6][7][3][3] = 30757200;
	tab[6][7][4][2] = 22258500;
	tab[6][7][5][1] = 7980684;
	tab[6][7][6][0] = 1100784;
	tab[6][7][0][7] = 2751960;
	tab[6][7][1][6] = 24767640;
	tab[6][7][2][5] = 87374730;
	tab[6][7][3][4] = 157630650;
	tab[6][7][4][3] = 157630650;
	tab[6][7][5][2] = 87374730;
	tab[6][7][6][1] = 24767640;
	tab[6][7][7][0] = 2751960;
	tab[6][7][0][8] = 5503920;
	tab[6][7][1][7] = 60543120;
	tab[6][7][2][6] = 264188160;
	tab[6][7][3][5] = 601303260;
	tab[6][7][4][4] = 784308600;
	tab[6][7][5][3] = 601303260;
	tab[6][7][6][2] = 264188160;
	tab[6][7][7][1] = 60543120;
	tab[6][7][8][0] = 5503920;
	tab[6][8][0][1] = 82;
	tab[6][8][1][0] = 82;
	tab[6][8][0][2] = 1886;
	tab[6][8][1][1] = 3772;
	tab[6][8][2][0] = 1886;
	tab[6][8][0][3] = 20746;
	tab[6][8][1][2] = 64124;
	tab[6][8][2][1] = 64124;
	tab[6][8][3][0] = 20746;
	tab[6][8][0][4] = 145222;
	tab[6][8][1][3] = 622380;
	tab[6][8][2][2] = 954316;
	tab[6][8][3][1] = 622380;
	tab[6][8][4][0] = 145222;
	tab[6][8][0][5] = 726110;
	tab[6][8][1][4] = 4066216;
	tab[6][8][2][3] = 8588844;
	tab[6][8][3][2] = 8588844;
	tab[6][8][4][1] = 4066216;
	tab[6][8][5][0] = 726110;
	tab[6][8][0][6] = 2759218;
	tab[6][8][1][5] = 19459748;
	tab[6][8][2][4] = 53441696;
	tab[6][8][3][3] = 73482332;
	tab[6][8][4][2] = 53441696;
	tab[6][8][5][1] = 19459748;
	tab[6][8][6][0] = 2759218;
	tab[6][8][0][7] = 8277654;
	tab[6][8][1][6] = 71739668;
	tab[6][8][2][5] = 247167844;
	tab[6][8][3][4] = 440893992;
	tab[6][8][4][3] = 440893992;
	tab[6][8][5][2] = 247167844;
	tab[6][8][6][1] = 71739668;
	tab[6][8][7][0] = 8277654;
	tab[6][8][0][8] = 20102874;
	tab[6][8][1][7] = 210488916;
	tab[6][8][2][6] = 888468196;
	tab[6][8][3][5] = 1984022964;
	tab[6][8][4][4] = 2571881620;
	tab[6][8][5][3] = 1984022964;
	tab[6][8][6][2] = 888468196;
	tab[6][8][7][1] = 210488916;
	tab[6][8][8][0] = 20102874;
	tab[7][1][0][1] = 6;
	tab[7][1][1][0] = 6;
	tab[7][1][0][2] = 12;
	tab[7][1][1][1] = 30;
	tab[7][1][2][0] = 18;
	tab[7][1][0][3] = 6;
	tab[7][1][1][2] = 42;
	tab[7][1][2][1] = 54;
	tab[7][1][3][0] = 18;
	tab[7][1][0][4] = 0;
	tab[7][1][1][3] = 18;
	tab[7][1][2][2] = 54;
	tab[7][1][3][1] = 42;
	tab[7][1][4][0] = 6;
	tab[7][1][0][5] = 0;
	tab[7][1][1][4] = 0;
	tab[7][1][2][3] = 18;
	tab[7][1][3][2] = 30;
	tab[7][1][4][1] = 12;
	tab[7][1][5][0] = 0;
	tab[7][1][0][6] = 0;
	tab[7][1][1][5] = 0;
	tab[7][1][2][4] = 0;
	tab[7][1][3][3] = 6;
	tab[7][1][4][2] = 6;
	tab[7][1][5][1] = 0;
	tab[7][1][6][0] = 0;
	tab[7][2][0][1] = 19;
	tab[7][2][1][0] = 19;
	tab[7][2][0][2] = 114;
	tab[7][2][1][1] = 228;
	tab[7][2][2][0] = 114;
	tab[7][2][0][3] = 285;
	tab[7][2][1][2] = 969;
	tab[7][2][2][1] = 969;
	tab[7][2][3][0] = 285;
	tab[7][2][0][4] = 380;
	tab[7][2][1][3] = 2090;
	tab[7][2][2][2] = 3420;
	tab[7][2][3][1] = 2090;
	tab[7][2][4][0] = 380;
	tab[7][2][0][5] = 285;
	tab[7][2][1][4] = 2565;
	tab[7][2][2][3] = 6555;
	tab[7][2][3][2] = 6555;
	tab[7][2][4][1] = 2565;
	tab[7][2][5][0] = 285;
	tab[7][2][0][6] = 114;
	tab[7][2][1][5] = 1824;
	tab[7][2][2][4] = 7410;
	tab[7][2][3][3] = 11400;
	tab[7][2][4][2] = 7410;
	tab[7][2][5][1] = 1824;
	tab[7][2][6][0] = 114;
	tab[7][2][0][7] = 19;
	tab[7][2][1][6] = 703;
	tab[7][2][2][5] = 4959;
	tab[7][2][3][4] = 11875;
	tab[7][2][4][3] = 11875;
	tab[7][2][5][2] = 4959;
	tab[7][2][6][1] = 703;
	tab[7][2][7][0] = 19;
	tab[7][2][0][8] = 0;
	tab[7][2][1][7] = 114;
	tab[7][2][2][6] = 1824;
	tab[7][2][3][5] = 7410;
	tab[7][2][4][4] = 11400;
	tab[7][2][5][3] = 7410;
	tab[7][2][6][2] = 1824;
	tab[7][2][7][1] = 114;
	tab[7][2][8][0] = 0;
	tab[7][3][0][1] = 32;
	tab[7][3][1][0] = 32;
	tab[7][3][0][2] = 288;
	tab[7][3][1][1] = 608;
	tab[7][3][2][0] = 320;
	tab[7][3][0][3] = 1152;
	tab[7][3][1][2] = 4032;
	tab[7][3][2][1] = 4320;
	tab[7][3][3][0] = 1440;
	tab[7][3][0][4] = 2688;
	tab[7][3][1][3] = 14208;
	tab[7][3][2][2] = 24480;
	tab[7][3][3][1] = 16800;
	tab[7][3][4][0] = 3840;
	tab[7][3][0][5] = 4032;
	tab[7][3][1][4] = 30912;
	tab[7][3][2][3] = 78720;
	tab[7][3][3][2] = 86400;
	tab[7][3][4][1] = 41280;
	tab[7][3][5][0] = 6720;
	tab[7][3][0][6] = 4032;
	tab[7][3][1][5] = 44352;
	tab[7][3][2][4] = 161280;
	tab[7][3][3][3] = 259200;
	tab[7][3][4][2] = 198720;
	tab[7][3][5][1] = 68544;
	tab[7][3][6][0] = 8064;
	tab[7][3][0][7] = 2688;
	tab[7][3][1][6] = 43008;
	tab[7][3][2][5] = 221760;
	tab[7][3][3][4] = 504000;
	tab[7][3][4][3] = 564480;
	tab[7][3][5][2] = 314496;
	tab[7][3][6][1] = 79296;
	tab[7][3][7][0] = 6720;
	tab[7][3][0][8] = 1152;
	tab[7][3][1][7] = 28032;
	tab[7][3][2][6] = 208320;
	tab[7][3][3][5] = 665280;
	tab[7][3][4][4] = 1048320;
	tab[7][3][5][3] = 854784;
	tab[7][3][6][2] = 350784;
	tab[7][3][7][1] = 64320;
	tab[7][3][8][0] = 3840;
	tab[7][4][0][1] = 45;
	tab[7][4][1][0] = 45;
	tab[7][4][0][2] = 585;
	tab[7][4][1][1] = 1170;
	tab[7][4][2][0] = 585;
	tab[7][4][0][3] = 3510;
	tab[7][4][1][2] = 11115;
	tab[7][4][2][1] = 11115;
	tab[7][4][3][0] = 3510;
	tab[7][4][0][4] = 12870;
	tab[7][4][1][3] = 58500;
	tab[7][4][2][2] = 91260;
	tab[7][4][3][1] = 58500;
	tab[7][4][4][0] = 12870;
	tab[7][4][0][5] = 32175;
	tab[7][4][1][4] = 199485;
	tab[7][4][2][3] = 441090;
	tab[7][4][3][2] = 441090;
	tab[7][4][4][1] = 199485;
	tab[7][4][5][0] = 32175;
	tab[7][4][0][6] = 57915;
	tab[7][4][1][5] = 476190;
	tab[7][4][2][4] = 1422135;
	tab[7][4][3][3] = 2007720;
	tab[7][4][4][2] = 1422135;
	tab[7][4][5][1] = 476190;
	tab[7][4][6][0] = 57915;
	tab[7][4][0][7] = 77220;
	tab[7][4][1][6] = 830115;
	tab[7][4][2][5] = 3262545;
	tab[7][4][3][4] = 6190470;
	tab[7][4][4][3] = 6190470;
	tab[7][4][5][2] = 3262545;
	tab[7][4][6][1] = 830115;
	tab[7][4][7][0] = 77220;
	tab[7][4][0][8] = 77220;
	tab[7][4][1][7] = 1081080;
	tab[7][4][2][6] = 5521230;
	tab[7][4][3][5] = 13719420;
	tab[7][4][4][4] = 18404100;
	tab[7][4][5][3] = 13719420;
	tab[7][4][6][2] = 5521230;
	tab[7][4][7][1] = 1081080;
	tab[7][4][8][0] = 77220;
	tab[7][5][0][1] = 58;
	tab[7][5][1][0] = 58;
	tab[7][5][0][2] = 928;
	tab[7][5][1][1] = 1914;
	tab[7][5][2][0] = 986;
	tab[7][5][0][3] = 6960;
	tab[7][5][1][2] = 22736;
	tab[7][5][2][1] = 23664;
	tab[7][5][3][0] = 7888;
	tab[7][5][0][4] = 32480;
	tab[7][5][1][3] = 150800;
	tab[7][5][2][2] = 244528;
	tab[7][5][3][1] = 165648;
	tab[7][5][4][0] = 39440;
	tab[7][5][0][5] = 105560;
	tab[7][5][1][4] = 657720;
	tab[7][5][2][3] = 1498720;
	tab[7][5][3][2] = 1577600;
	tab[7][5][4][1] = 769080;
	tab[7][5][5][0] = 138040;
	tab[7][5][0][6] = 253344;
	tab[7][5][1][5] = 2047864;
	tab[7][5][2][4] = 6211800;
	tab[7][5][3][3] = 9150080;
	tab[7][5][4][2] = 6941440;
	tab[7][5][5][1] = 2567544;
	tab[7][5][6][0] = 358904;
	tab[7][5][0][7] = 464464;
	tab[7][5][1][6] = 4771312;
	tab[7][5][2][5] = 18663008;
	tab[7][5][3][4] = 36442560;
	tab[7][5][4][3] = 38651200;
	tab[7][5][5][2] = 22307264;
	tab[7][5][6][1] = 6460272;
	tab[7][5][7][0] = 717808;
	tab[7][5][0][8] = 663520;
	tab[7][5][1][7] = 8559408;
	tab[7][5][2][6] = 42350672;
	tab[7][5][3][5] = 106235584;
	tab[7][5][4][4] = 149083200;
	tab[7][5][5][3] = 120370880;
	tab[7][5][6][2] = 54553408;
	tab[7][5][7][1] = 12612912;
	tab[7][5][8][0] = 1127984;
	tab[7][6][0][1] = 71;
	tab[7][6][1][0] = 71;
	tab[7][6][0][2] = 1420;
	tab[7][6][1][1] = 2840;
	tab[7][6][2][0] = 1420;
	tab[7][6][0][3] = 13490;
	tab[7][6][1][2] = 41890;
	tab[7][6][2][1] = 41890;
	tab[7][6][3][0] = 13490;
	tab[7][6][0][4] = 80940;
	tab[7][6][1][3] = 350740;
	tab[7][6][2][2] = 539600;
	tab[7][6][3][1] = 350740;
	tab[7][6][4][0] = 80940;
	tab[7][6][0][5] = 343995;
	tab[7][6][1][4] = 1962795;
	tab[7][6][2][3] = 4181900;
	tab[7][6][3][2] = 4181900;
	tab[7][6][4][1] = 1962795;
	tab[7][6][5][0] = 343995;
	tab[7][6][0][6] = 1100784;
	tab[7][6][1][5] = 7980684;
	tab[7][6][2][4] = 22258500;
	tab[7][6][3][3] = 30757200;
	tab[7][6][4][2] = 22258500;
	tab[7][6][5][1] = 7980684;
	tab[7][6][6][0] = 1100784;
	tab[7][6][0][7] = 2751960;
	tab[7][6][1][6] = 24767640;
	tab[7][6][2][5] = 87374730;
	tab[7][6][3][4] = 157630650;
	tab[7][6][4][3] = 157630650;
	tab[7][6][5][2] = 87374730;
	tab[7][6][6][1] = 24767640;
	tab[7][6][7][0] = 2751960;
	tab[7][6][0][8] = 5503920;
	tab[7][6][1][7] = 60543120;
	tab[7][6][2][6] = 264188160;
	tab[7][6][3][5] = 601303260;
	tab[7][6][4][4] = 784308600;
	tab[7][6][5][3] = 601303260;
	tab[7][6][6][2] = 264188160;
	tab[7][6][7][1] = 60543120;
	tab[7][6][8][0] = 5503920;
	tab[7][7][0][1] = 84;
	tab[7][7][1][0] = 84;
	tab[7][7][0][2] = 1932;
	tab[7][7][1][1] = 3948;
	tab[7][7][2][0] = 2016;
	tab[7][7][0][3] = 21252;
	tab[7][7][1][2] = 67620;
	tab[7][7][2][1] = 69552;
	tab[7][7][3][0] = 23184;
	tab[7][7][0][4] = 148764;
	tab[7][7][1][3] = 658812;
	tab[7][7][2][2] = 1043280;
	tab[7][7][3][1] = 703248;
	tab[7][7][4][0] = 170016;
	tab[7][7][0][5] = 743820;
	tab[7][7][1][4] = 4314156;
	tab[7][7][2][3] = 9435888;
	tab[7][7][3][2] = 9775920;
	tab[7][7][4][1] = 4802952;
	tab[7][7][5][0] = 892584;
	tab[7][7][0][6] = 2826516;
	tab[7][7][1][5] = 20678196;
	tab[7][7][2][4] = 58910544;
	tab[7][7][3][3] = 84072912;
	tab[7][7][4][2] = 63543480;
	tab[7][7][5][1] = 24099768;
	tab[7][7][6][0] = 3570336;
	tab[7][7][0][7] = 8479548;
	tab[7][7][1][6] = 76315932;
	tab[7][7][2][5] = 273130704;
	tab[7][7][3][4] = 506392656;
	tab[7][7][4][3] = 526922088;
	tab[7][7][5][2] = 307941480;
	tab[7][7][6][1] = 93423792;
	tab[7][7][7][0] = 11306064;
	tab[7][7][0][8] = 20593188;
	tab[7][7][1][7] = 224102340;
	tab[7][7][2][6] = 983627568;
	tab[7][7][3][5] = 2285610096;
	tab[7][7][4][4] = 3086257944;
	tab[7][7][5][3] = 2484061272;
	tab[7][7][6][2] = 1163334480;
	tab[7][7][7][1] = 289112208;
	tab[7][7][8][0] = 29072736;
	tab[7][8][0][1] = 97;
	tab[7][8][1][0] = 97;
	tab[7][8][0][2] = 2619;
	tab[7][8][1][1] = 5238;
	tab[7][8][2][0] = 2619;
	tab[7][8][0][3] = 34047;
	tab[7][8][1][2] = 104760;
	tab[7][8][2][1] = 104760;
	tab[7][8][3][0] = 34047;
	tab[7][8][0][4] = 283725;
	tab[7][8][1][3] = 1202994;
	tab[7][8][2][2] = 1838538;
	tab[7][8][3][1] = 1202994;
	tab[7][8][4][0] = 283725;
	tab[7][8][0][5] = 1702350;
	tab[7][8][1][4] = 9362925;
	tab[7][8][2][3] = 19611072;
	tab[7][8][3][2] = 19611072;
	tab[7][8][4][1] = 9362925;
	tab[7][8][5][0] = 1702350;
	tab[7][8][0][6] = 7830810;
	tab[7][8][1][5] = 53794260;
	tab[7][8][2][4] = 145550925;
	tab[7][8][3][3] = 199174950;
	tab[7][8][4][2] = 145550925;
	tab[7][8][5][1] = 53794260;
	tab[7][8][6][0] = 7830810;
	tab[7][8][0][7] = 28712970;
	tab[7][8][1][6] = 240144840;
	tab[7][8][2][5] = 808956720;
	tab[7][8][3][4] = 1427420475;
	tab[7][8][4][3] = 1427420475;
	tab[7][8][5][2] = 808956720;
	tab[7][8][6][1] = 240144840;
	tab[7][8][7][0] = 28712970;
	tab[7][8][0][8] = 86138910;
	tab[7][8][1][7] = 861389100;
	tab[7][8][2][6] = 3523864500;
	tab[7][8][3][5] = 7727988060;
	tab[7][8][4][4] = 9958747500;
	tab[7][8][5][3] = 7727988060;
	tab[7][8][6][2] = 3523864500;
	tab[7][8][7][1] = 861389100;
	tab[7][8][8][0] = 86138910;
	tab[8][1][0][1] = 7;
	tab[8][1][1][0] = 7;
	tab[8][1][0][2] = 21;
	tab[8][1][1][1] = 42;
	tab[8][1][2][0] = 21;
	tab[8][1][0][3] = 21;
	tab[8][1][1][2] = 84;
	tab[8][1][2][1] = 84;
	tab[8][1][3][0] = 21;
	tab[8][1][0][4] = 7;
	tab[8][1][1][3] = 70;
	tab[8][1][2][2] = 126;
	tab[8][1][3][1] = 70;
	tab[8][1][4][0] = 7;
	tab[8][1][0][5] = 0;
	tab[8][1][1][4] = 21;
	tab[8][1][2][3] = 84;
	tab[8][1][3][2] = 84;
	tab[8][1][4][1] = 21;
	tab[8][1][5][0] = 0;
	tab[8][1][0][6] = 0;
	tab[8][1][1][5] = 0;
	tab[8][1][2][4] = 21;
	tab[8][1][3][3] = 42;
	tab[8][1][4][2] = 21;
	tab[8][1][5][1] = 0;
	tab[8][1][6][0] = 0;
	tab[8][1][0][7] = 0;
	tab[8][1][1][6] = 0;
	tab[8][1][2][5] = 0;
	tab[8][1][3][4] = 7;
	tab[8][1][4][3] = 7;
	tab[8][1][5][2] = 0;
	tab[8][1][6][1] = 0;
	tab[8][1][7][0] = 0;
	tab[8][2][0][1] = 22;
	tab[8][2][1][0] = 22;
	tab[8][2][0][2] = 154;
	tab[8][2][1][1] = 308;
	tab[8][2][2][0] = 154;
	tab[8][2][0][3] = 462;
	tab[8][2][1][2] = 1540;
	tab[8][2][2][1] = 1540;
	tab[8][2][3][0] = 462;
	tab[8][2][0][4] = 770;
	tab[8][2][1][3] = 4004;
	tab[8][2][2][2] = 6468;
	tab[8][2][3][1] = 4004;
	tab[8][2][4][0] = 770;
	tab[8][2][0][5] = 770;
	tab[8][2][1][4] = 6160;
	tab[8][2][2][3] = 15092;
	tab[8][2][3][2] = 15092;
	tab[8][2][4][1] = 6160;
	tab[8][2][5][0] = 770;
	tab[8][2][0][6] = 462;
	tab[8][2][1][5] = 5852;
	tab[8][2][2][4] = 21560;
	tab[8][2][3][3] = 32340;
	tab[8][2][4][2] = 21560;
	tab[8][2][5][1] = 5852;
	tab[8][2][6][0] = 462;
	tab[8][2][0][7] = 154;
	tab[8][2][1][6] = 3388;
	tab[8][2][2][5] = 19404;
	tab[8][2][3][4] = 43120;
	tab[8][2][4][3] = 43120;
	tab[8][2][5][2] = 19404;
	tab[8][2][6][1] = 3388;
	tab[8][2][7][0] = 154;
	tab[8][2][0][8] = 22;
	tab[8][2][1][7] = 1100;
	tab[8][2][2][6] = 10780;
	tab[8][2][3][5] = 36652;
	tab[8][2][4][4] = 53900;
	tab[8][2][5][3] = 36652;
	tab[8][2][6][2] = 10780;
	tab[8][2][7][1] = 1100;
	tab[8][2][8][0] = 22;
	tab[8][3][0][1] = 37;
	tab[8][3][1][0] = 37;
	tab[8][3][0][2] = 407;
	tab[8][3][1][1] = 814;
	tab[8][3][2][0] = 407;
	tab[8][3][0][3] = 2035;
	tab[8][3][1][2] = 6512;
	tab[8][3][2][1] = 6512;
	tab[8][3][3][0] = 2035;
	tab[8][3][0][4] = 6105;
	tab[8][3][1][3] = 28490;
	tab[8][3][2][2] = 44770;
	tab[8][3][3][1] = 28490;
	tab[8][3][4][0] = 6105;
	tab[8][3][0][5] = 12210;
	tab[8][3][1][4] = 79365;
	tab[8][3][2][3] = 179080;
	tab[8][3][3][2] = 179080;
	tab[8][3][4][1] = 79365;
	tab[8][3][5][0] = 12210;
	tab[8][3][0][6] = 17094;
	tab[8][3][1][5] = 151404;
	tab[8][3][2][4] = 470085;
	tab[8][3][3][3] = 671550;
	tab[8][3][4][2] = 470085;
	tab[8][3][5][1] = 151404;
	tab[8][3][6][0] = 17094;
	tab[8][3][0][7] = 17094;
	tab[8][3][1][6] = 205128;
	tab[8][3][2][5] = 859584;
	tab[8][3][3][4] = 1678875;
	tab[8][3][4][3] = 1678875;
	tab[8][3][5][2] = 859584;
	tab[8][3][6][1] = 205128;
	tab[8][3][7][0] = 17094;
	tab[8][3][0][8] = 12210;
	tab[8][3][1][7] = 200244;
	tab[8][3][2][6] = 1128204;
	tab[8][3][3][5] = 2954820;
	tab[8][3][4][4] = 4029300;
	tab[8][3][5][3] = 2954820;
	tab[8][3][6][2] = 1128204;
	tab[8][3][7][1] = 200244;
	tab[8][3][8][0] = 12210;
	tab[8][4][0][1] = 52;
	tab[8][4][1][0] = 52;
	tab[8][4][0][2] = 780;
	tab[8][4][1][1] = 1560;
	tab[8][4][2][0] = 780;
	tab[8][4][0][3] = 5460;
	tab[8][4][1][2] = 17160;
	tab[8][4][2][1] = 17160;
	tab[8][4][3][0] = 5460;
	tab[8][4][0][4] = 23660;
	tab[8][4][1][3] = 105560;
	tab[8][4][2][2] = 163800;
	tab[8][4][3][1] = 105560;
	tab[8][4][4][0] = 23660;
	tab[8][4][0][5] = 70980;
	tab[8][4][1][4] = 425880;
	tab[8][4][2][3] = 928200;
	tab[8][4][3][2] = 928200;
	tab[8][4][4][1] = 425880;
	tab[8][4][5][0] = 70980;
	tab[8][4][0][6] = 156156;
	tab[8][4][1][5] = 1220856;
	tab[8][4][2][4] = 3549000;
	tab[8][4][3][3] = 4968600;
	tab[8][4][4][2] = 3549000;
	tab[8][4][5][1] = 1220856;
	tab[8][4][6][0] = 156156;
	tab[8][4][0][7] = 260260;
	tab[8][4][1][6] = 2602600;
	tab[8][4][2][5] = 9795240;
	tab[8][4][3][4] = 18218200;
	tab[8][4][4][3] = 18218200;
	tab[8][4][5][2] = 9795240;
	tab[8][4][6][1] = 2602600;
	tab[8][4][7][0] = 260260;
	tab[8][4][0][8] = 334620;
	tab[8][4][1][7] = 4238520;
	tab[8][4][2][6] = 20300280;
	tab[8][4][3][5] = 48692280;
	tab[8][4][4][4] = 64591800;
	tab[8][4][5][3] = 48692280;
	tab[8][4][6][2] = 20300280;
	tab[8][4][7][1] = 4238520;
	tab[8][4][8][0] = 334620;
	tab[8][5][0][1] = 67;
	tab[8][5][1][0] = 67;
	tab[8][5][0][2] = 1273;
	tab[8][5][1][1] = 2546;
	tab[8][5][2][0] = 1273;
	tab[8][5][0][3] = 11457;
	tab[8][5][1][2] = 35644;
	tab[8][5][2][1] = 35644;
	tab[8][5][3][0] = 11457;
	tab[8][5][0][4] = 64923;
	tab[8][5][1][3] = 282606;
	tab[8][5][2][2] = 435366;
	tab[8][5][3][1] = 282606;
	tab[8][5][4][0] = 64923;
	tab[8][5][0][5] = 259692;
	tab[8][5][1][4] = 1493229;
	tab[8][5][2][3] = 3192684;
	tab[8][5][3][2] = 3192684;
	tab[8][5][4][1] = 1493229;
	tab[8][5][5][0] = 259692;
	tab[8][5][0][6] = 779076;
	tab[8][5][1][5] = 5713224;
	tab[8][5][2][4] = 16035981;
	tab[8][5][3][3] = 22203666;
	tab[8][5][4][2] = 16035981;
	tab[8][5][5][1] = 5713224;
	tab[8][5][6][0] = 779076;
	tab[8][5][0][7] = 1817844;
	tab[8][5][1][6] = 16620288;
	tab[8][5][2][5] = 59209776;
	tab[8][5][3][4] = 107317719;
	tab[8][5][4][3] = 107317719;
	tab[8][5][5][2] = 59209776;
	tab[8][5][6][1] = 16620288;
	tab[8][5][7][0] = 1817844;
	tab[8][5][0][8] = 3375996;
	tab[8][5][1][7] = 37915032;
	tab[8][5][2][6] = 167761032;
	tab[8][5][3][5] = 384863544;
	tab[8][5][4][4] = 503283096;
	tab[8][5][5][3] = 384863544;
	tab[8][5][6][2] = 167761032;
	tab[8][5][7][1] = 37915032;
	tab[8][5][8][0] = 3375996;
	tab[8][6][0][1] = 82;
	tab[8][6][1][0] = 82;
	tab[8][6][0][2] = 1886;
	tab[8][6][1][1] = 3772;
	tab[8][6][2][0] = 1886;
	tab[8][6][0][3] = 20746;
	tab[8][6][1][2] = 64124;
	tab[8][6][2][1] = 64124;
	tab[8][6][3][0] = 20746;
	tab[8][6][0][4] = 145222;
	tab[8][6][1][3] = 622380;
	tab[8][6][2][2] = 954316;
	tab[8][6][3][1] = 622380;
	tab[8][6][4][0] = 145222;
	tab[8][6][0][5] = 726110;
	tab[8][6][1][4] = 4066216;
	tab[8][6][2][3] = 8588844;
	tab[8][6][3][2] = 8588844;
	tab[8][6][4][1] = 4066216;
	tab[8][6][5][0] = 726110;
	tab[8][6][0][6] = 2759218;
	tab[8][6][1][5] = 19459748;
	tab[8][6][2][4] = 53441696;
	tab[8][6][3][3] = 73482332;
	tab[8][6][4][2] = 53441696;
	tab[8][6][5][1] = 19459748;
	tab[8][6][6][0] = 2759218;
	tab[8][6][0][7] = 8277654;
	tab[8][6][1][6] = 71739668;
	tab[8][6][2][5] = 247167844;
	tab[8][6][3][4] = 440893992;
	tab[8][6][4][3] = 440893992;
	tab[8][6][5][2] = 247167844;
	tab[8][6][6][1] = 71739668;
	tab[8][6][7][0] = 8277654;
	tab[8][6][0][8] = 20102874;
	tab[8][6][1][7] = 210488916;
	tab[8][6][2][6] = 888468196;
	tab[8][6][3][5] = 1984022964;
	tab[8][6][4][4] = 2571881620;
	tab[8][6][5][3] = 1984022964;
	tab[8][6][6][2] = 888468196;
	tab[8][6][7][1] = 210488916;
	tab[8][6][8][0] = 20102874;
	tab[8][7][0][1] = 97;
	tab[8][7][1][0] = 97;
	tab[8][7][0][2] = 2619;
	tab[8][7][1][1] = 5238;
	tab[8][7][2][0] = 2619;
	tab[8][7][0][3] = 34047;
	tab[8][7][1][2] = 104760;
	tab[8][7][2][1] = 104760;
	tab[8][7][3][0] = 34047;
	tab[8][7][0][4] = 283725;
	tab[8][7][1][3] = 1202994;
	tab[8][7][2][2] = 1838538;
	tab[8][7][3][1] = 1202994;
	tab[8][7][4][0] = 283725;
	tab[8][7][0][5] = 1702350;
	tab[8][7][1][4] = 9362925;
	tab[8][7][2][3] = 19611072;
	tab[8][7][3][2] = 19611072;
	tab[8][7][4][1] = 9362925;
	tab[8][7][5][0] = 1702350;
	tab[8][7][0][6] = 7830810;
	tab[8][7][1][5] = 53794260;
	tab[8][7][2][4] = 145550925;
	tab[8][7][3][3] = 199174950;
	tab[8][7][4][2] = 145550925;
	tab[8][7][5][1] = 53794260;
	tab[8][7][6][0] = 7830810;
	tab[8][7][0][7] = 28712970;
	tab[8][7][1][6] = 240144840;
	tab[8][7][2][5] = 808956720;
	tab[8][7][3][4] = 1427420475;
	tab[8][7][4][3] = 1427420475;
	tab[8][7][5][2] = 808956720;
	tab[8][7][6][1] = 240144840;
	tab[8][7][7][0] = 28712970;
	tab[8][7][0][8] = 86138910;
	tab[8][7][1][7] = 861389100;
	tab[8][7][2][6] = 3523864500;
	tab[8][7][3][5] = 7727988060;
	tab[8][7][4][4] = 9958747500;
	tab[8][7][5][3] = 7727988060;
	tab[8][7][6][2] = 3523864500;
	tab[8][7][7][1] = 861389100;
	tab[8][7][8][0] = 86138910;
	tab[8][8][0][1] = 112;
	tab[8][8][1][0] = 112;
	tab[8][8][0][2] = 3472;
	tab[8][8][1][1] = 6944;
	tab[8][8][2][0] = 3472;
	tab[8][8][0][3] = 52080;
	tab[8][8][1][2] = 159712;
	tab[8][8][2][1] = 159712;
	tab[8][8][3][0] = 52080;
	tab[8][8][0][4] = 503440;
	tab[8][8][1][3] = 2117920;
	tab[8][8][2][2] = 3228960;
	tab[8][8][3][1] = 2117920;
	tab[8][8][4][0] = 503440;
	tab[8][8][0][5] = 3524080;
	tab[8][8][1][4] = 19130720;
	tab[8][8][2][3] = 39823840;
	tab[8][8][3][2] = 39823840;
	tab[8][8][4][1] = 19130720;
	tab[8][8][5][0] = 3524080;
	tab[8][8][0][6] = 19030032;
	tab[8][8][1][5] = 128276512;
	tab[8][8][2][4] = 343346080;
	tab[8][8][3][3] = 468199200;
	tab[8][8][4][2] = 343346080;
	tab[8][8][5][1] = 128276512;
	tab[8][8][6][0] = 19030032;
	tab[8][8][0][7] = 82463472;
	tab[8][8][1][6] = 672394464;
	tab[8][8][2][5] = 2228628192;
	tab[8][8][3][4] = 3901660000;
	tab[8][8][4][3] = 3901660000;
	tab[8][8][5][2] = 2228628192;
	tab[8][8][6][1] = 672394464;
	tab[8][8][7][0] = 82463472;
	tab[8][8][0][8] = 294512400;
	tab[8][8][1][7] = 2850880032;
	tab[8][8][2][6] = 11405332512;
	tab[8][8][3][5] = 24689704480;
	tab[8][8][4][4] = 31681479200;
	tab[8][8][5][3] = 24689704480;
	tab[8][8][6][2] = 11405332512;
	tab[8][8][7][1] = 2850880032;
	tab[8][8][8][0] = 294512400;
}

void compute() {
	if(cnt[0] % 2 != parity[0] % 2) {
		ans(0);
		return;
	}
	preproc();
	w = 0;
	par = cnt[0] % 2;
	for(int q = par; q <= kk; q += 2) {
		w += tab[n][m][q][kk - q];
	}
	good = 0;
	f(i, n) {
		f(j, m) {
			if(board[i][j]) {
				if(i > 0 && !board[i - 1][j]) {
					good++;
				}
				if(i < n - 1 && !board[i + 1][j]) {
					good++;
				}
				if(j > 0 && !board[i][j - 1]) {
					good++;
				}
				if(j < m - 1 && !board[i][j + 1]) {
					good++;
				}
			}
		}
	}
	long double goodLD = ((long double)(good));
	long double wLD = ((long double)(w));
	printf("%.15Lf\n", (goodLD / wLD));
}

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#include <bits/stdc++.h>
 
#define INF 2147483647
#define LINF 9223372036854775807
#define NINF -2147483648
#define NLINF -9223372036854775808
#define M 1000000007
#define M1 998244353
#define A 26
#define P 2137
 
using namespace std;
using db=double;
using dbl=long double;
using ll=long long;
using pi=pair<int,int>;
using pl=pair<ll,ll>;
using vi=vector<int>;
using vl=vector<ll>;
using gr=vector<vector<int> >;
using grl=vector<vector<ll> >;

 
#define fp(x, a, b) for (int (x) = (a); (x) < (b); (x)++)
#define f(x, n) for (int (x) = 0; (x) < (n); (x)++)
#define fnp(x, a, b) for (int (x) = (b) - 1; (x) >= (a); (x)--)
#define fn(x, n) for (int (x) = (n - 1); (x) >= 0; (x)--)
#define sgn(x) (x) > 0 ? 1 : (x) == 0 ? 0 : -1
#define gcd(a, b) __gcd((a), (b))
#define lcm(a, b) (a) * (b) / gcd((a), (b))
#define x first
#define y second
#define mp make_pair 
#define pb push_back
#define s(x) x.size()
#define all(x) x.begin(), x.end()
#define ans(x) cout<<(x)<<"\n"
#define yes cout<<"YES\n";
#define no cout<<"NO\n";
#define fl cout.flush()
#define debarr(x, n) f(i, (n)){cout<<(x)[i]<<" ";}cout<<"\n"
#define debgr(x, n) f(i, (n)){f(j, s((x)[i])){cout<<(x)[i][j]<<" ";}cout<<"\n";}

 
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
 
void input();
void compute();
 
int main() {
	int T = 1;
	//cin >> T;
	while(T--) {
		input();
		compute();
	}
	return 0;
}
 
int n;
int m;
int kk;
int cnt[2];
int parity[2];
int par;
ll w;
ll good;
bool board[8][8];
ll tab[9][9][9][9];

void input() {
	string tmp;
	cin >> n >> m;
	kk = 0;
	cnt[0] = cnt[1] = 0;
	par = 0;
	parity[0] = parity[1] = 0;
	w = good = 0;
	f(i, 8) {
		f(j, 8) {
			board[i][j] = false;
		}
	}
	f(i, n) {
		cin >> tmp;
		f(j, m) {
			if(tmp[j] == 'O') {
				cnt[(i + j) % 2]++;
				kk++;
			}
		}
	}
	f(i, n) {
		cin >> tmp;
		f(j, m) {
			if(tmp[j] == 'O') {
				board[i][j] = true;
				parity[(i + j) % 2]++;
			}
		}
	}
}

void preproc() {
	tab[1][2][0][1] = 1;
	tab[1][2][1][0] = 1;
	tab[1][3][0][1] = 2;
	tab[1][3][1][0] = 2;
	tab[1][3][0][2] = 0;
	tab[1][3][1][1] = 2;
	tab[1][3][2][0] = 2;
	tab[1][4][0][1] = 3;
	tab[1][4][1][0] = 3;
	tab[1][4][0][2] = 3;
	tab[1][4][1][1] = 6;
	tab[1][4][2][0] = 3;
	tab[1][4][0][3] = 0;
	tab[1][4][1][2] = 3;
	tab[1][4][2][1] = 3;
	tab[1][4][3][0] = 0;
	tab[1][5][0][1] = 4;
	tab[1][5][1][0] = 4;
	tab[1][5][0][2] = 4;
	tab[1][5][1][1] = 12;
	tab[1][5][2][0] = 8;
	tab[1][5][0][3] = 0;
	tab[1][5][1][2] = 8;
	tab[1][5][2][1] = 12;
	tab[1][5][3][0] = 4;
	tab[1][5][0][4] = 0;
	tab[1][5][1][3] = 0;
	tab[1][5][2][2] = 4;
	tab[1][5][3][1] = 4;
	tab[1][5][4][0] = 0;
	tab[1][6][0][1] = 5;
	tab[1][6][1][0] = 5;
	tab[1][6][0][2] = 10;
	tab[1][6][1][1] = 20;
	tab[1][6][2][0] = 10;
	tab[1][6][0][3] = 5;
	tab[1][6][1][2] = 25;
	tab[1][6][2][1] = 25;
	tab[1][6][3][0] = 5;
	tab[1][6][0][4] = 0;
	tab[1][6][1][3] = 10;
	tab[1][6][2][2] = 20;
	tab[1][6][3][1] = 10;
	tab[1][6][4][0] = 0;
	tab[1][6][0][5] = 0;
	tab[1][6][1][4] = 0;
	tab[1][6][2][3] = 5;
	tab[1][6][3][2] = 5;
	tab[1][6][4][1] = 0;
	tab[1][6][5][0] = 0;
	tab[1][7][0][1] = 6;
	tab[1][7][1][0] = 6;
	tab[1][7][0][2] = 12;
	tab[1][7][1][1] = 30;
	tab[1][7][2][0] = 18;
	tab[1][7][0][3] = 6;
	tab[1][7][1][2] = 42;
	tab[1][7][2][1] = 54;
	tab[1][7][3][0] = 18;
	tab[1][7][0][4] = 0;
	tab[1][7][1][3] = 18;
	tab[1][7][2][2] = 54;
	tab[1][7][3][1] = 42;
	tab[1][7][4][0] = 6;
	tab[1][7][0][5] = 0;
	tab[1][7][1][4] = 0;
	tab[1][7][2][3] = 18;
	tab[1][7][3][2] = 30;
	tab[1][7][4][1] = 12;
	tab[1][7][5][0] = 0;
	tab[1][7][0][6] = 0;
	tab[1][7][1][5] = 0;
	tab[1][7][2][4] = 0;
	tab[1][7][3][3] = 6;
	tab[1][7][4][2] = 6;
	tab[1][7][5][1] = 0;
	tab[1][7][6][0] = 0;
	tab[1][8][0][1] = 7;
	tab[1][8][1][0] = 7;
	tab[1][8][0][2] = 21;
	tab[1][8][1][1] = 42;
	tab[1][8][2][0] = 21;
	tab[1][8][0][3] = 21;
	tab[1][8][1][2] = 84;
	tab[1][8][2][1] = 84;
	tab[1][8][3][0] = 21;
	tab[1][8][0][4] = 7;
	tab[1][8][1][3] = 70;
	tab[1][8][2][2] = 126;
	tab[1][8][3][1] = 70;
	tab[1][8][4][0] = 7;
	tab[1][8][0][5] = 0;
	tab[1][8][1][4] = 21;
	tab[1][8][2][3] = 84;
	tab[1][8][3][2] = 84;
	tab[1][8][4][1] = 21;
	tab[1][8][5][0] = 0;
	tab[1][8][0][6] = 0;
	tab[1][8][1][5] = 0;
	tab[1][8][2][4] = 21;
	tab[1][8][3][3] = 42;
	tab[1][8][4][2] = 21;
	tab[1][8][5][1] = 0;
	tab[1][8][6][0] = 0;
	tab[1][8][0][7] = 0;
	tab[1][8][1][6] = 0;
	tab[1][8][2][5] = 0;
	tab[1][8][3][4] = 7;
	tab[1][8][4][3] = 7;
	tab[1][8][5][2] = 0;
	tab[1][8][6][1] = 0;
	tab[1][8][7][0] = 0;
	tab[2][1][0][1] = 1;
	tab[2][1][1][0] = 1;
	tab[2][2][0][1] = 4;
	tab[2][2][1][0] = 4;
	tab[2][2][0][2] = 4;
	tab[2][2][1][1] = 8;
	tab[2][2][2][0] = 4;
	tab[2][2][0][3] = 0;
	tab[2][2][1][2] = 4;
	tab[2][2][2][1] = 4;
	tab[2][2][3][0] = 0;
	tab[2][3][0][1] = 7;
	tab[2][3][1][0] = 7;
	tab[2][3][0][2] = 14;
	tab[2][3][1][1] = 28;
	tab[2][3][2][0] = 14;
	tab[2][3][0][3] = 7;
	tab[2][3][1][2] = 35;
	tab[2][3][2][1] = 35;
	tab[2][3][3][0] = 7;
	tab[2][3][0][4] = 0;
	tab[2][3][1][3] = 14;
	tab[2][3][2][2] = 28;
	tab[2][3][3][1] = 14;
	tab[2][3][4][0] = 0;
	tab[2][3][0][5] = 0;
	tab[2][3][1][4] = 0;
	tab[2][3][2][3] = 7;
	tab[2][3][3][2] = 7;
	tab[2][3][4][1] = 0;
	tab[2][3][5][0] = 0;
	tab[2][4][0][1] = 10;
	tab[2][4][1][0] = 10;
	tab[2][4][0][2] = 30;
	tab[2][4][1][1] = 60;
	tab[2][4][2][0] = 30;
	tab[2][4][0][3] = 30;
	tab[2][4][1][2] = 120;
	tab[2][4][2][1] = 120;
	tab[2][4][3][0] = 30;
	tab[2][4][0][4] = 10;
	tab[2][4][1][3] = 100;
	tab[2][4][2][2] = 180;
	tab[2][4][3][1] = 100;
	tab[2][4][4][0] = 10;
	tab[2][4][0][5] = 0;
	tab[2][4][1][4] = 30;
	tab[2][4][2][3] = 120;
	tab[2][4][3][2] = 120;
	tab[2][4][4][1] = 30;
	tab[2][4][5][0] = 0;
	tab[2][4][0][6] = 0;
	tab[2][4][1][5] = 0;
	tab[2][4][2][4] = 30;
	tab[2][4][3][3] = 60;
	tab[2][4][4][2] = 30;
	tab[2][4][5][1] = 0;
	tab[2][4][6][0] = 0;
	tab[2][4][0][7] = 0;
	tab[2][4][1][6] = 0;
	tab[2][4][2][5] = 0;
	tab[2][4][3][4] = 10;
	tab[2][4][4][3] = 10;
	tab[2][4][5][2] = 0;
	tab[2][4][6][1] = 0;
	tab[2][4][7][0] = 0;
	tab[2][5][0][1] = 13;
	tab[2][5][1][0] = 13;
	tab[2][5][0][2] = 52;
	tab[2][5][1][1] = 104;
	tab[2][5][2][0] = 52;
	tab[2][5][0][3] = 78;
	tab[2][5][1][2] = 286;
	tab[2][5][2][1] = 286;
	tab[2][5][3][0] = 78;
	tab[2][5][0][4] = 52;
	tab[2][5][1][3] = 364;
	tab[2][5][2][2] = 624;
	tab[2][5][3][1] = 364;
	tab[2][5][4][0] = 52;
	tab[2][5][0][5] = 13;
	tab[2][5][1][4] = 221;
	tab[2][5][2][3] = 676;
	tab[2][5][3][2] = 676;
	tab[2][5][4][1] = 221;
	tab[2][5][5][0] = 13;
	tab[2][5][0][6] = 0;
	tab[2][5][1][5] = 52;
	tab[2][5][2][4] = 364;
	tab[2][5][3][3] = 624;
	tab[2][5][4][2] = 364;
	tab[2][5][5][1] = 52;
	tab[2][5][6][0] = 0;
	tab[2][5][0][7] = 0;
	tab[2][5][1][6] = 0;
	tab[2][5][2][5] = 78;
	tab[2][5][3][4] = 286;
	tab[2][5][4][3] = 286;
	tab[2][5][5][2] = 78;
	tab[2][5][6][1] = 0;
	tab[2][5][7][0] = 0;
	tab[2][5][0][8] = 0;
	tab[2][5][1][7] = 0;
	tab[2][5][2][6] = 0;
	tab[2][5][3][5] = 52;
	tab[2][5][4][4] = 104;
	tab[2][5][5][3] = 52;
	tab[2][5][6][2] = 0;
	tab[2][5][7][1] = 0;
	tab[2][5][8][0] = 0;
	tab[2][6][0][1] = 16;
	tab[2][6][1][0] = 16;
	tab[2][6][0][2] = 80;
	tab[2][6][1][1] = 160;
	tab[2][6][2][0] = 80;
	tab[2][6][0][3] = 160;
	tab[2][6][1][2] = 560;
	tab[2][6][2][1] = 560;
	tab[2][6][3][0] = 160;
	tab[2][6][0][4] = 160;
	tab[2][6][1][3] = 960;
	tab[2][6][2][2] = 1600;
	tab[2][6][3][1] = 960;
	tab[2][6][4][0] = 160;
	tab[2][6][0][5] = 80;
	tab[2][6][1][4] = 880;
	tab[2][6][2][3] = 2400;
	tab[2][6][3][2] = 2400;
	tab[2][6][4][1] = 880;
	tab[2][6][5][0] = 80;
	tab[2][6][0][6] = 16;
	tab[2][6][1][5] = 416;
	tab[2][6][2][4] = 2000;
	tab[2][6][3][3] = 3200;
	tab[2][6][4][2] = 2000;
	tab[2][6][5][1] = 416;
	tab[2][6][6][0] = 16;
	tab[2][6][0][7] = 0;
	tab[2][6][1][6] = 80;
	tab[2][6][2][5] = 880;
	tab[2][6][3][4] = 2400;
	tab[2][6][4][3] = 2400;
	tab[2][6][5][2] = 880;
	tab[2][6][6][1] = 80;
	tab[2][6][7][0] = 0;
	tab[2][6][0][8] = 0;
	tab[2][6][1][7] = 0;
	tab[2][6][2][6] = 160;
	tab[2][6][3][5] = 960;
	tab[2][6][4][4] = 1600;
	tab[2][6][5][3] = 960;
	tab[2][6][6][2] = 160;
	tab[2][6][7][1] = 0;
	tab[2][6][8][0] = 0;
	tab[2][7][0][1] = 19;
	tab[2][7][1][0] = 19;
	tab[2][7][0][2] = 114;
	tab[2][7][1][1] = 228;
	tab[2][7][2][0] = 114;
	tab[2][7][0][3] = 285;
	tab[2][7][1][2] = 969;
	tab[2][7][2][1] = 969;
	tab[2][7][3][0] = 285;
	tab[2][7][0][4] = 380;
	tab[2][7][1][3] = 2090;
	tab[2][7][2][2] = 3420;
	tab[2][7][3][1] = 2090;
	tab[2][7][4][0] = 380;
	tab[2][7][0][5] = 285;
	tab[2][7][1][4] = 2565;
	tab[2][7][2][3] = 6555;
	tab[2][7][3][2] = 6555;
	tab[2][7][4][1] = 2565;
	tab[2][7][5][0] = 285;
	tab[2][7][0][6] = 114;
	tab[2][7][1][5] = 1824;
	tab[2][7][2][4] = 7410;
	tab[2][7][3][3] = 11400;
	tab[2][7][4][2] = 7410;
	tab[2][7][5][1] = 1824;
	tab[2][7][6][0] = 114;
	tab[2][7][0][7] = 19;
	tab[2][7][1][6] = 703;
	tab[2][7][2][5] = 4959;
	tab[2][7][3][4] = 11875;
	tab[2][7][4][3] = 11875;
	tab[2][7][5][2] = 4959;
	tab[2][7][6][1] = 703;
	tab[2][7][7][0] = 19;
	tab[2][7][0][8] = 0;
	tab[2][7][1][7] = 114;
	tab[2][7][2][6] = 1824;
	tab[2][7][3][5] = 7410;
	tab[2][7][4][4] = 11400;
	tab[2][7][5][3] = 7410;
	tab[2][7][6][2] = 1824;
	tab[2][7][7][1] = 114;
	tab[2][7][8][0] = 0;
	tab[2][8][0][1] = 22;
	tab[2][8][1][0] = 22;
	tab[2][8][0][2] = 154;
	tab[2][8][1][1] = 308;
	tab[2][8][2][0] = 154;
	tab[2][8][0][3] = 462;
	tab[2][8][1][2] = 1540;
	tab[2][8][2][1] = 1540;
	tab[2][8][3][0] = 462;
	tab[2][8][0][4] = 770;
	tab[2][8][1][3] = 4004;
	tab[2][8][2][2] = 6468;
	tab[2][8][3][1] = 4004;
	tab[2][8][4][0] = 770;
	tab[2][8][0][5] = 770;
	tab[2][8][1][4] = 6160;
	tab[2][8][2][3] = 15092;
	tab[2][8][3][2] = 15092;
	tab[2][8][4][1] = 6160;
	tab[2][8][5][0] = 770;
	tab[2][8][0][6] = 462;
	tab[2][8][1][5] = 5852;
	tab[2][8][2][4] = 21560;
	tab[2][8][3][3] = 32340;
	tab[2][8][4][2] = 21560;
	tab[2][8][5][1] = 5852;
	tab[2][8][6][0] = 462;
	tab[2][8][0][7] = 154;
	tab[2][8][1][6] = 3388;
	tab[2][8][2][5] = 19404;
	tab[2][8][3][4] = 43120;
	tab[2][8][4][3] = 43120;
	tab[2][8][5][2] = 19404;
	tab[2][8][6][1] = 3388;
	tab[2][8][7][0] = 154;
	tab[2][8][0][8] = 22;
	tab[2][8][1][7] = 1100;
	tab[2][8][2][6] = 10780;
	tab[2][8][3][5] = 36652;
	tab[2][8][4][4] = 53900;
	tab[2][8][5][3] = 36652;
	tab[2][8][6][2] = 10780;
	tab[2][8][7][1] = 1100;
	tab[2][8][8][0] = 22;
	tab[3][1][0][1] = 2;
	tab[3][1][1][0] = 2;
	tab[3][1][0][2] = 0;
	tab[3][1][1][1] = 2;
	tab[3][1][2][0] = 2;
	tab[3][2][0][1] = 7;
	tab[3][2][1][0] = 7;
	tab[3][2][0][2] = 14;
	tab[3][2][1][1] = 28;
	tab[3][2][2][0] = 14;
	tab[3][2][0][3] = 7;
	tab[3][2][1][2] = 35;
	tab[3][2][2][1] = 35;
	tab[3][2][3][0] = 7;
	tab[3][2][0][4] = 0;
	tab[3][2][1][3] = 14;
	tab[3][2][2][2] = 28;
	tab[3][2][3][1] = 14;
	tab[3][2][4][0] = 0;
	tab[3][2][0][5] = 0;
	tab[3][2][1][4] = 0;
	tab[3][2][2][3] = 7;
	tab[3][2][3][2] = 7;
	tab[3][2][4][1] = 0;
	tab[3][2][5][0] = 0;
	tab[3][3][0][1] = 12;
	tab[3][3][1][0] = 12;
	tab[3][3][0][2] = 36;
	tab[3][3][1][1] = 84;
	tab[3][3][2][0] = 48;
	tab[3][3][0][3] = 36;
	tab[3][3][1][2] = 180;
	tab[3][3][2][1] = 216;
	tab[3][3][3][0] = 72;
	tab[3][3][0][4] = 12;
	tab[3][3][1][3] = 156;
	tab[3][3][2][2] = 360;
	tab[3][3][3][1] = 264;
	tab[3][3][4][0] = 48;
	tab[3][3][0][5] = 0;
	tab[3][3][1][4] = 48;
	tab[3][3][2][3] = 264;
	tab[3][3][3][2] = 360;
	tab[3][3][4][1] = 156;
	tab[3][3][5][0] = 12;
	tab[3][3][0][6] = 0;
	tab[3][3][1][5] = 0;
	tab[3][3][2][4] = 72;
	tab[3][3][3][3] = 216;
	tab[3][3][4][2] = 180;
	tab[3][3][5][1] = 36;
	tab[3][3][6][0] = 0;
	tab[3][3][0][7] = 0;
	tab[3][3][1][6] = 0;
	tab[3][3][2][5] = 0;
	tab[3][3][3][4] = 48;
	tab[3][3][4][3] = 84;
	tab[3][3][5][2] = 36;
	tab[3][3][6][1] = 0;
	tab[3][3][7][0] = 0;
	tab[3][3][0][8] = 0;
	tab[3][3][1][7] = 0;
	tab[3][3][2][6] = 0;
	tab[3][3][3][5] = 0;
	tab[3][3][4][4] = 12;
	tab[3][3][5][3] = 12;
	tab[3][3][6][2] = 0;
	tab[3][3][7][1] = 0;
	tab[3][3][8][0] = 0;
	tab[3][4][0][1] = 17;
	tab[3][4][1][0] = 17;
	tab[3][4][0][2] = 85;
	tab[3][4][1][1] = 170;
	tab[3][4][2][0] = 85;
	tab[3][4][0][3] = 170;
	tab[3][4][1][2] = 595;
	tab[3][4][2][1] = 595;
	tab[3][4][3][0] = 170;
	tab[3][4][0][4] = 170;
	tab[3][4][1][3] = 1020;
	tab[3][4][2][2] = 1700;
	tab[3][4][3][1] = 1020;
	tab[3][4][4][0] = 170;
	tab[3][4][0][5] = 85;
	tab[3][4][1][4] = 935;
	tab[3][4][2][3] = 2550;
	tab[3][4][3][2] = 2550;
	tab[3][4][4][1] = 935;
	tab[3][4][5][0] = 85;
	tab[3][4][0][6] = 17;
	tab[3][4][1][5] = 442;
	tab[3][4][2][4] = 2125;
	tab[3][4][3][3] = 3400;
	tab[3][4][4][2] = 2125;
	tab[3][4][5][1] = 442;
	tab[3][4][6][0] = 17;
	tab[3][4][0][7] = 0;
	tab[3][4][1][6] = 85;
	tab[3][4][2][5] = 935;
	tab[3][4][3][4] = 2550;
	tab[3][4][4][3] = 2550;
	tab[3][4][5][2] = 935;
	tab[3][4][6][1] = 85;
	tab[3][4][7][0] = 0;
	tab[3][4][0][8] = 0;
	tab[3][4][1][7] = 0;
	tab[3][4][2][6] = 170;
	tab[3][4][3][5] = 1020;
	tab[3][4][4][4] = 1700;
	tab[3][4][5][3] = 1020;
	tab[3][4][6][2] = 170;
	tab[3][4][7][1] = 0;
	tab[3][4][8][0] = 0;
	tab[3][5][0][1] = 22;
	tab[3][5][1][0] = 22;
	tab[3][5][0][2] = 132;
	tab[3][5][1][1] = 286;
	tab[3][5][2][0] = 154;
	tab[3][5][0][3] = 330;
	tab[3][5][1][2] = 1254;
	tab[3][5][2][1] = 1386;
	tab[3][5][3][0] = 462;
	tab[3][5][0][4] = 440;
	tab[3][5][1][3] = 2750;
	tab[3][5][2][2] = 5082;
	tab[3][5][3][1] = 3542;
	tab[3][5][4][0] = 770;
	tab[3][5][0][5] = 330;
	tab[3][5][1][4] = 3410;
	tab[3][5][2][3] = 10010;
	tab[3][5][3][2] = 11550;
	tab[3][5][4][1] = 5390;
	tab[3][5][5][0] = 770;
	tab[3][5][0][6] = 132;
	tab[3][5][1][5] = 2442;
	tab[3][5][2][4] = 11550;
	tab[3][5][3][3] = 20790;
	tab[3][5][4][2] = 16170;
	tab[3][5][5][1] = 5082;
	tab[3][5][6][0] = 462;
	tab[3][5][0][7] = 22;
	tab[3][5][1][6] = 946;
	tab[3][5][2][5] = 7854;
	tab[3][5][3][4] = 22330;
	tab[3][5][4][3] = 26950;
	tab[3][5][5][2] = 14322;
	tab[3][5][6][1] = 2926;
	tab[3][5][7][0] = 154;
	tab[3][5][0][8] = 0;
	tab[3][5][1][7] = 154;
	tab[3][5][2][6] = 2926;
	tab[3][5][3][5] = 14322;
	tab[3][5][4][4] = 26950;
	tab[3][5][5][3] = 22330;
	tab[3][5][6][2] = 7854;
	tab[3][5][7][1] = 946;
	tab[3][5][8][0] = 22;
	tab[3][6][0][1] = 27;
	tab[3][6][1][0] = 27;
	tab[3][6][0][2] = 216;
	tab[3][6][1][1] = 432;
	tab[3][6][2][0] = 216;
	tab[3][6][0][3] = 756;
	tab[3][6][1][2] = 2484;
	tab[3][6][2][1] = 2484;
	tab[3][6][3][0] = 756;
	tab[3][6][0][4] = 1512;
	tab[3][6][1][3] = 7560;
	tab[3][6][2][2] = 12096;
	tab[3][6][3][1] = 7560;
	tab[3][6][4][0] = 1512;
	tab[3][6][0][5] = 1890;
	tab[3][6][1][4] = 13986;
	tab[3][6][2][3] = 33264;
	tab[3][6][3][2] = 33264;
	tab[3][6][4][1] = 13986;
	tab[3][6][5][0] = 1890;
	tab[3][6][0][6] = 1512;
	tab[3][6][1][5] = 16632;
	tab[3][6][2][4] = 57456;
	tab[3][6][3][3] = 84672;
	tab[3][6][4][2] = 57456;
	tab[3][6][5][1] = 16632;
	tab[3][6][6][0] = 1512;
	tab[3][6][0][7] = 756;
	tab[3][6][1][6] = 12852;
	tab[3][6][2][5] = 65016;
	tab[3][6][3][4] = 137592;
	tab[3][6][4][3] = 137592;
	tab[3][6][5][2] = 65016;
	tab[3][6][6][1] = 12852;
	tab[3][6][7][0] = 756;
	tab[3][6][0][8] = 216;
	tab[3][6][1][7] = 6264;
	tab[3][6][2][6] = 48384;
	tab[3][6][3][5] = 148176;
	tab[3][6][4][4] = 211680;
	tab[3][6][5][3] = 148176;
	tab[3][6][6][2] = 48384;
	tab[3][6][7][1] = 6264;
	tab[3][6][8][0] = 216;
	tab[3][7][0][1] = 32;
	tab[3][7][1][0] = 32;
	tab[3][7][0][2] = 288;
	tab[3][7][1][1] = 608;
	tab[3][7][2][0] = 320;
	tab[3][7][0][3] = 1152;
	tab[3][7][1][2] = 4032;
	tab[3][7][2][1] = 4320;
	tab[3][7][3][0] = 1440;
	tab[3][7][0][4] = 2688;
	tab[3][7][1][3] = 14208;
	tab[3][7][2][2] = 24480;
	tab[3][7][3][1] = 16800;
	tab[3][7][4][0] = 3840;
	tab[3][7][0][5] = 4032;
	tab[3][7][1][4] = 30912;
	tab[3][7][2][3] = 78720;
	tab[3][7][3][2] = 86400;
	tab[3][7][4][1] = 41280;
	tab[3][7][5][0] = 6720;
	tab[3][7][0][6] = 4032;
	tab[3][7][1][5] = 44352;
	tab[3][7][2][4] = 161280;
	tab[3][7][3][3] = 259200;
	tab[3][7][4][2] = 198720;
	tab[3][7][5][1] = 68544;
	tab[3][7][6][0] = 8064;
	tab[3][7][0][7] = 2688;
	tab[3][7][1][6] = 43008;
	tab[3][7][2][5] = 221760;
	tab[3][7][3][4] = 504000;
	tab[3][7][4][3] = 564480;
	tab[3][7][5][2] = 314496;
	tab[3][7][6][1] = 79296;
	tab[3][7][7][0] = 6720;
	tab[3][7][0][8] = 1152;
	tab[3][7][1][7] = 28032;
	tab[3][7][2][6] = 208320;
	tab[3][7][3][5] = 665280;
	tab[3][7][4][4] = 1048320;
	tab[3][7][5][3] = 854784;
	tab[3][7][6][2] = 350784;
	tab[3][7][7][1] = 64320;
	tab[3][7][8][0] = 3840;
	tab[3][8][0][1] = 37;
	tab[3][8][1][0] = 37;
	tab[3][8][0][2] = 407;
	tab[3][8][1][1] = 814;
	tab[3][8][2][0] = 407;
	tab[3][8][0][3] = 2035;
	tab[3][8][1][2] = 6512;
	tab[3][8][2][1] = 6512;
	tab[3][8][3][0] = 2035;
	tab[3][8][0][4] = 6105;
	tab[3][8][1][3] = 28490;
	tab[3][8][2][2] = 44770;
	tab[3][8][3][1] = 28490;
	tab[3][8][4][0] = 6105;
	tab[3][8][0][5] = 12210;
	tab[3][8][1][4] = 79365;
	tab[3][8][2][3] = 179080;
	tab[3][8][3][2] = 179080;
	tab[3][8][4][1] = 79365;
	tab[3][8][5][0] = 12210;
	tab[3][8][0][6] = 17094;
	tab[3][8][1][5] = 151404;
	tab[3][8][2][4] = 470085;
	tab[3][8][3][3] = 671550;
	tab[3][8][4][2] = 470085;
	tab[3][8][5][1] = 151404;
	tab[3][8][6][0] = 17094;
	tab[3][8][0][7] = 17094;
	tab[3][8][1][6] = 205128;
	tab[3][8][2][5] = 859584;
	tab[3][8][3][4] = 1678875;
	tab[3][8][4][3] = 1678875;
	tab[3][8][5][2] = 859584;
	tab[3][8][6][1] = 205128;
	tab[3][8][7][0] = 17094;
	tab[3][8][0][8] = 12210;
	tab[3][8][1][7] = 200244;
	tab[3][8][2][6] = 1128204;
	tab[3][8][3][5] = 2954820;
	tab[3][8][4][4] = 4029300;
	tab[3][8][5][3] = 2954820;
	tab[3][8][6][2] = 1128204;
	tab[3][8][7][1] = 200244;
	tab[3][8][8][0] = 12210;
	tab[4][1][0][1] = 3;
	tab[4][1][1][0] = 3;
	tab[4][1][0][2] = 3;
	tab[4][1][1][1] = 6;
	tab[4][1][2][0] = 3;
	tab[4][1][0][3] = 0;
	tab[4][1][1][2] = 3;
	tab[4][1][2][1] = 3;
	tab[4][1][3][0] = 0;
	tab[4][2][0][1] = 10;
	tab[4][2][1][0] = 10;
	tab[4][2][0][2] = 30;
	tab[4][2][1][1] = 60;
	tab[4][2][2][0] = 30;
	tab[4][2][0][3] = 30;
	tab[4][2][1][2] = 120;
	tab[4][2][2][1] = 120;
	tab[4][2][3][0] = 30;
	tab[4][2][0][4] = 10;
	tab[4][2][1][3] = 100;
	tab[4][2][2][2] = 180;
	tab[4][2][3][1] = 100;
	tab[4][2][4][0] = 10;
	tab[4][2][0][5] = 0;
	tab[4][2][1][4] = 30;
	tab[4][2][2][3] = 120;
	tab[4][2][3][2] = 120;
	tab[4][2][4][1] = 30;
	tab[4][2][5][0] = 0;
	tab[4][2][0][6] = 0;
	tab[4][2][1][5] = 0;
	tab[4][2][2][4] = 30;
	tab[4][2][3][3] = 60;
	tab[4][2][4][2] = 30;
	tab[4][2][5][1] = 0;
	tab[4][2][6][0] = 0;
	tab[4][2][0][7] = 0;
	tab[4][2][1][6] = 0;
	tab[4][2][2][5] = 0;
	tab[4][2][3][4] = 10;
	tab[4][2][4][3] = 10;
	tab[4][2][5][2] = 0;
	tab[4][2][6][1] = 0;
	tab[4][2][7][0] = 0;
	tab[4][3][0][1] = 17;
	tab[4][3][1][0] = 17;
	tab[4][3][0][2] = 85;
	tab[4][3][1][1] = 170;
	tab[4][3][2][0] = 85;
	tab[4][3][0][3] = 170;
	tab[4][3][1][2] = 595;
	tab[4][3][2][1] = 595;
	tab[4][3][3][0] = 170;
	tab[4][3][0][4] = 170;
	tab[4][3][1][3] = 1020;
	tab[4][3][2][2] = 1700;
	tab[4][3][3][1] = 1020;
	tab[4][3][4][0] = 170;
	tab[4][3][0][5] = 85;
	tab[4][3][1][4] = 935;
	tab[4][3][2][3] = 2550;
	tab[4][3][3][2] = 2550;
	tab[4][3][4][1] = 935;
	tab[4][3][5][0] = 85;
	tab[4][3][0][6] = 17;
	tab[4][3][1][5] = 442;
	tab[4][3][2][4] = 2125;
	tab[4][3][3][3] = 3400;
	tab[4][3][4][2] = 2125;
	tab[4][3][5][1] = 442;
	tab[4][3][6][0] = 17;
	tab[4][3][0][7] = 0;
	tab[4][3][1][6] = 85;
	tab[4][3][2][5] = 935;
	tab[4][3][3][4] = 2550;
	tab[4][3][4][3] = 2550;
	tab[4][3][5][2] = 935;
	tab[4][3][6][1] = 85;
	tab[4][3][7][0] = 0;
	tab[4][3][0][8] = 0;
	tab[4][3][1][7] = 0;
	tab[4][3][2][6] = 170;
	tab[4][3][3][5] = 1020;
	tab[4][3][4][4] = 1700;
	tab[4][3][5][3] = 1020;
	tab[4][3][6][2] = 170;
	tab[4][3][7][1] = 0;
	tab[4][3][8][0] = 0;
	tab[4][4][0][1] = 24;
	tab[4][4][1][0] = 24;
	tab[4][4][0][2] = 168;
	tab[4][4][1][1] = 336;
	tab[4][4][2][0] = 168;
	tab[4][4][0][3] = 504;
	tab[4][4][1][2] = 1680;
	tab[4][4][2][1] = 1680;
	tab[4][4][3][0] = 504;
	tab[4][4][0][4] = 840;
	tab[4][4][1][3] = 4368;
	tab[4][4][2][2] = 7056;
	tab[4][4][3][1] = 4368;
	tab[4][4][4][0] = 840;
	tab[4][4][0][5] = 840;
	tab[4][4][1][4] = 6720;
	tab[4][4][2][3] = 16464;
	tab[4][4][3][2] = 16464;
	tab[4][4][4][1] = 6720;
	tab[4][4][5][0] = 840;
	tab[4][4][0][6] = 504;
	tab[4][4][1][5] = 6384;
	tab[4][4][2][4] = 23520;
	tab[4][4][3][3] = 35280;
	tab[4][4][4][2] = 23520;
	tab[4][4][5][1] = 6384;
	tab[4][4][6][0] = 504;
	tab[4][4][0][7] = 168;
	tab[4][4][1][6] = 3696;
	tab[4][4][2][5] = 21168;
	tab[4][4][3][4] = 47040;
	tab[4][4][4][3] = 47040;
	tab[4][4][5][2] = 21168;
	tab[4][4][6][1] = 3696;
	tab[4][4][7][0] = 168;
	tab[4][4][0][8] = 24;
	tab[4][4][1][7] = 1200;
	tab[4][4][2][6] = 11760;
	tab[4][4][3][5] = 39984;
	tab[4][4][4][4] = 58800;
	tab[4][4][5][3] = 39984;
	tab[4][4][6][2] = 11760;
	tab[4][4][7][1] = 1200;
	tab[4][4][8][0] = 24;
	tab[4][5][0][1] = 31;
	tab[4][5][1][0] = 31;
	tab[4][5][0][2] = 279;
	tab[4][5][1][1] = 558;
	tab[4][5][2][0] = 279;
	tab[4][5][0][3] = 1116;
	tab[4][5][1][2] = 3627;
	tab[4][5][2][1] = 3627;
	tab[4][5][3][0] = 1116;
	tab[4][5][0][4] = 2604;
	tab[4][5][1][3] = 12648;
	tab[4][5][2][2] = 20088;
	tab[4][5][3][1] = 12648;
	tab[4][5][4][0] = 2604;
	tab[4][5][0][5] = 3906;
	tab[4][5][1][4] = 27342;
	tab[4][5][2][3] = 63612;
	tab[4][5][3][2] = 63612;
	tab[4][5][4][1] = 27342;
	tab[4][5][5][0] = 3906;
	tab[4][5][0][6] = 3906;
	tab[4][5][1][5] = 39060;
	tab[4][5][2][4] = 128898;
	tab[4][5][3][3] = 187488;
	tab[4][5][4][2] = 128898;
	tab[4][5][5][1] = 39060;
	tab[4][5][6][0] = 3906;
	tab[4][5][0][7] = 2604;
	tab[4][5][1][6] = 37758;
	tab[4][5][2][5] = 175770;
	tab[4][5][3][4] = 359352;
	tab[4][5][4][3] = 359352;
	tab[4][5][5][2] = 175770;
	tab[4][5][6][1] = 37758;
	tab[4][5][7][0] = 2604;
	tab[4][5][0][8] = 1116;
	tab[4][5][1][7] = 24552;
	tab[4][5][2][6] = 164052;
	tab[4][5][3][5] = 468720;
	tab[4][5][4][4] = 656208;
	tab[4][5][5][3] = 468720;
	tab[4][5][6][2] = 164052;
	tab[4][5][7][1] = 24552;
	tab[4][5][8][0] = 1116;
	tab[4][6][0][1] = 38;
	tab[4][6][1][0] = 38;
	tab[4][6][0][2] = 418;
	tab[4][6][1][1] = 836;
	tab[4][6][2][0] = 418;
	tab[4][6][0][3] = 2090;
	tab[4][6][1][2] = 6688;
	tab[4][6][2][1] = 6688;
	tab[4][6][3][0] = 2090;
	tab[4][6][0][4] = 6270;
	tab[4][6][1][3] = 29260;
	tab[4][6][2][2] = 45980;
	tab[4][6][3][1] = 29260;
	tab[4][6][4][0] = 6270;
	tab[4][6][0][5] = 12540;
	tab[4][6][1][4] = 81510;
	tab[4][6][2][3] = 183920;
	tab[4][6][3][2] = 183920;
	tab[4][6][4][1] = 81510;
	tab[4][6][5][0] = 12540;
	tab[4][6][0][6] = 17556;
	tab[4][6][1][5] = 155496;
	tab[4][6][2][4] = 482790;
	tab[4][6][3][3] = 689700;
	tab[4][6][4][2] = 482790;
	tab[4][6][5][1] = 155496;
	tab[4][6][6][0] = 17556;
	tab[4][6][0][7] = 17556;
	tab[4][6][1][6] = 210672;
	tab[4][6][2][5] = 882816;
	tab[4][6][3][4] = 1724250;
	tab[4][6][4][3] = 1724250;
	tab[4][6][5][2] = 882816;
	tab[4][6][6][1] = 210672;
	tab[4][6][7][0] = 17556;
	tab[4][6][0][8] = 12540;
	tab[4][6][1][7] = 205656;
	tab[4][6][2][6] = 1158696;
	tab[4][6][3][5] = 3034680;
	tab[4][6][4][4] = 4138200;
	tab[4][6][5][3] = 3034680;
	tab[4][6][6][2] = 1158696;
	tab[4][6][7][1] = 205656;
	tab[4][6][8][0] = 12540;
	tab[4][7][0][1] = 45;
	tab[4][7][1][0] = 45;
	tab[4][7][0][2] = 585;
	tab[4][7][1][1] = 1170;
	tab[4][7][2][0] = 585;
	tab[4][7][0][3] = 3510;
	tab[4][7][1][2] = 11115;
	tab[4][7][2][1] = 11115;
	tab[4][7][3][0] = 3510;
	tab[4][7][0][4] = 12870;
	tab[4][7][1][3] = 58500;
	tab[4][7][2][2] = 91260;
	tab[4][7][3][1] = 58500;
	tab[4][7][4][0] = 12870;
	tab[4][7][0][5] = 32175;
	tab[4][7][1][4] = 199485;
	tab[4][7][2][3] = 441090;
	tab[4][7][3][2] = 441090;
	tab[4][7][4][1] = 199485;
	tab[4][7][5][0] = 32175;
	tab[4][7][0][6] = 57915;
	tab[4][7][1][5] = 476190;
	tab[4][7][2][4] = 1422135;
	tab[4][7][3][3] = 2007720;
	tab[4][7][4][2] = 1422135;
	tab[4][7][5][1] = 476190;
	tab[4][7][6][0] = 57915;
	tab[4][7][0][7] = 77220;
	tab[4][7][1][6] = 830115;
	tab[4][7][2][5] = 3262545;
	tab[4][7][3][4] = 6190470;
	tab[4][7][4][3] = 6190470;
	tab[4][7][5][2] = 3262545;
	tab[4][7][6][1] = 830115;
	tab[4][7][7][0] = 77220;
	tab[4][7][0][8] = 77220;
	tab[4][7][1][7] = 1081080;
	tab[4][7][2][6] = 5521230;
	tab[4][7][3][5] = 13719420;
	tab[4][7][4][4] = 18404100;
	tab[4][7][5][3] = 13719420;
	tab[4][7][6][2] = 5521230;
	tab[4][7][7][1] = 1081080;
	tab[4][7][8][0] = 77220;
	tab[4][8][0][1] = 52;
	tab[4][8][1][0] = 52;
	tab[4][8][0][2] = 780;
	tab[4][8][1][1] = 1560;
	tab[4][8][2][0] = 780;
	tab[4][8][0][3] = 5460;
	tab[4][8][1][2] = 17160;
	tab[4][8][2][1] = 17160;
	tab[4][8][3][0] = 5460;
	tab[4][8][0][4] = 23660;
	tab[4][8][1][3] = 105560;
	tab[4][8][2][2] = 163800;
	tab[4][8][3][1] = 105560;
	tab[4][8][4][0] = 23660;
	tab[4][8][0][5] = 70980;
	tab[4][8][1][4] = 425880;
	tab[4][8][2][3] = 928200;
	tab[4][8][3][2] = 928200;
	tab[4][8][4][1] = 425880;
	tab[4][8][5][0] = 70980;
	tab[4][8][0][6] = 156156;
	tab[4][8][1][5] = 1220856;
	tab[4][8][2][4] = 3549000;
	tab[4][8][3][3] = 4968600;
	tab[4][8][4][2] = 3549000;
	tab[4][8][5][1] = 1220856;
	tab[4][8][6][0] = 156156;
	tab[4][8][0][7] = 260260;
	tab[4][8][1][6] = 2602600;
	tab[4][8][2][5] = 9795240;
	tab[4][8][3][4] = 18218200;
	tab[4][8][4][3] = 18218200;
	tab[4][8][5][2] = 9795240;
	tab[4][8][6][1] = 2602600;
	tab[4][8][7][0] = 260260;
	tab[4][8][0][8] = 334620;
	tab[4][8][1][7] = 4238520;
	tab[4][8][2][6] = 20300280;
	tab[4][8][3][5] = 48692280;
	tab[4][8][4][4] = 64591800;
	tab[4][8][5][3] = 48692280;
	tab[4][8][6][2] = 20300280;
	tab[4][8][7][1] = 4238520;
	tab[4][8][8][0] = 334620;
	tab[5][1][0][1] = 4;
	tab[5][1][1][0] = 4;
	tab[5][1][0][2] = 4;
	tab[5][1][1][1] = 12;
	tab[5][1][2][0] = 8;
	tab[5][1][0][3] = 0;
	tab[5][1][1][2] = 8;
	tab[5][1][2][1] = 12;
	tab[5][1][3][0] = 4;
	tab[5][1][0][4] = 0;
	tab[5][1][1][3] = 0;
	tab[5][1][2][2] = 4;
	tab[5][1][3][1] = 4;
	tab[5][1][4][0] = 0;
	tab[5][2][0][1] = 13;
	tab[5][2][1][0] = 13;
	tab[5][2][0][2] = 52;
	tab[5][2][1][1] = 104;
	tab[5][2][2][0] = 52;
	tab[5][2][0][3] = 78;
	tab[5][2][1][2] = 286;
	tab[5][2][2][1] = 286;
	tab[5][2][3][0] = 78;
	tab[5][2][0][4] = 52;
	tab[5][2][1][3] = 364;
	tab[5][2][2][2] = 624;
	tab[5][2][3][1] = 364;
	tab[5][2][4][0] = 52;
	tab[5][2][0][5] = 13;
	tab[5][2][1][4] = 221;
	tab[5][2][2][3] = 676;
	tab[5][2][3][2] = 676;
	tab[5][2][4][1] = 221;
	tab[5][2][5][0] = 13;
	tab[5][2][0][6] = 0;
	tab[5][2][1][5] = 52;
	tab[5][2][2][4] = 364;
	tab[5][2][3][3] = 624;
	tab[5][2][4][2] = 364;
	tab[5][2][5][1] = 52;
	tab[5][2][6][0] = 0;
	tab[5][2][0][7] = 0;
	tab[5][2][1][6] = 0;
	tab[5][2][2][5] = 78;
	tab[5][2][3][4] = 286;
	tab[5][2][4][3] = 286;
	tab[5][2][5][2] = 78;
	tab[5][2][6][1] = 0;
	tab[5][2][7][0] = 0;
	tab[5][2][0][8] = 0;
	tab[5][2][1][7] = 0;
	tab[5][2][2][6] = 0;
	tab[5][2][3][5] = 52;
	tab[5][2][4][4] = 104;
	tab[5][2][5][3] = 52;
	tab[5][2][6][2] = 0;
	tab[5][2][7][1] = 0;
	tab[5][2][8][0] = 0;
	tab[5][3][0][1] = 22;
	tab[5][3][1][0] = 22;
	tab[5][3][0][2] = 132;
	tab[5][3][1][1] = 286;
	tab[5][3][2][0] = 154;
	tab[5][3][0][3] = 330;
	tab[5][3][1][2] = 1254;
	tab[5][3][2][1] = 1386;
	tab[5][3][3][0] = 462;
	tab[5][3][0][4] = 440;
	tab[5][3][1][3] = 2750;
	tab[5][3][2][2] = 5082;
	tab[5][3][3][1] = 3542;
	tab[5][3][4][0] = 770;
	tab[5][3][0][5] = 330;
	tab[5][3][1][4] = 3410;
	tab[5][3][2][3] = 10010;
	tab[5][3][3][2] = 11550;
	tab[5][3][4][1] = 5390;
	tab[5][3][5][0] = 770;
	tab[5][3][0][6] = 132;
	tab[5][3][1][5] = 2442;
	tab[5][3][2][4] = 11550;
	tab[5][3][3][3] = 20790;
	tab[5][3][4][2] = 16170;
	tab[5][3][5][1] = 5082;
	tab[5][3][6][0] = 462;
	tab[5][3][0][7] = 22;
	tab[5][3][1][6] = 946;
	tab[5][3][2][5] = 7854;
	tab[5][3][3][4] = 22330;
	tab[5][3][4][3] = 26950;
	tab[5][3][5][2] = 14322;
	tab[5][3][6][1] = 2926;
	tab[5][3][7][0] = 154;
	tab[5][3][0][8] = 0;
	tab[5][3][1][7] = 154;
	tab[5][3][2][6] = 2926;
	tab[5][3][3][5] = 14322;
	tab[5][3][4][4] = 26950;
	tab[5][3][5][3] = 22330;
	tab[5][3][6][2] = 7854;
	tab[5][3][7][1] = 946;
	tab[5][3][8][0] = 22;
	tab[5][4][0][1] = 31;
	tab[5][4][1][0] = 31;
	tab[5][4][0][2] = 279;
	tab[5][4][1][1] = 558;
	tab[5][4][2][0] = 279;
	tab[5][4][0][3] = 1116;
	tab[5][4][1][2] = 3627;
	tab[5][4][2][1] = 3627;
	tab[5][4][3][0] = 1116;
	tab[5][4][0][4] = 2604;
	tab[5][4][1][3] = 12648;
	tab[5][4][2][2] = 20088;
	tab[5][4][3][1] = 12648;
	tab[5][4][4][0] = 2604;
	tab[5][4][0][5] = 3906;
	tab[5][4][1][4] = 27342;
	tab[5][4][2][3] = 63612;
	tab[5][4][3][2] = 63612;
	tab[5][4][4][1] = 27342;
	tab[5][4][5][0] = 3906;
	tab[5][4][0][6] = 3906;
	tab[5][4][1][5] = 39060;
	tab[5][4][2][4] = 128898;
	tab[5][4][3][3] = 187488;
	tab[5][4][4][2] = 128898;
	tab[5][4][5][1] = 39060;
	tab[5][4][6][0] = 3906;
	tab[5][4][0][7] = 2604;
	tab[5][4][1][6] = 37758;
	tab[5][4][2][5] = 175770;
	tab[5][4][3][4] = 359352;
	tab[5][4][4][3] = 359352;
	tab[5][4][5][2] = 175770;
	tab[5][4][6][1] = 37758;
	tab[5][4][7][0] = 2604;
	tab[5][4][0][8] = 1116;
	tab[5][4][1][7] = 24552;
	tab[5][4][2][6] = 164052;
	tab[5][4][3][5] = 468720;
	tab[5][4][4][4] = 656208;
	tab[5][4][5][3] = 468720;
	tab[5][4][6][2] = 164052;
	tab[5][4][7][1] = 24552;
	tab[5][4][8][0] = 1116;
	tab[5][5][0][1] = 40;
	tab[5][5][1][0] = 40;
	tab[5][5][0][2] = 440;
	tab[5][5][1][1] = 920;
	tab[5][5][2][0] = 480;
	tab[5][5][0][3] = 2200;
	tab[5][5][1][2] = 7480;
	tab[5][5][2][1] = 7920;
	tab[5][5][3][0] = 2640;
	tab[5][5][0][4] = 6600;
	tab[5][5][1][3] = 33000;
	tab[5][5][2][2] = 55440;
	tab[5][5][3][1] = 37840;
	tab[5][5][4][0] = 8800;
	tab[5][5][0][5] = 13200;
	tab[5][5][1][4] = 92400;
	tab[5][5][2][3] = 224400;
	tab[5][5][3][2] = 242000;
	tab[5][5][4][1] = 116600;
	tab[5][5][5][0] = 19800;
	tab[5][5][0][6] = 18480;
	tab[5][5][1][5] = 176880;
	tab[5][5][2][4] = 594000;
	tab[5][5][3][3] = 919600;
	tab[5][5][4][2] = 701800;
	tab[5][5][5][1] = 249480;
	tab[5][5][6][0] = 31680;
	tab[5][5][0][7] = 18480;
	tab[5][5][1][6] = 240240;
	tab[5][5][2][5] = 1092960;
	tab[5][5][3][4] = 2323200;
	tab[5][5][4][3] = 2541000;
	tab[5][5][5][2] = 1437480;
	tab[5][5][6][1] = 385440;
	tab[5][5][7][0] = 36960;
	tab[5][5][0][8] = 13200;
	tab[5][5][1][7] = 234960;
	tab[5][5][2][6] = 1441440;
	tab[5][5][3][5] = 4123680;
	tab[5][5][4][4] = 6171000;
	tab[5][5][5][3] = 5009400;
	tab[5][5][6][2] = 2148960;
	tab[5][5][7][1] = 438240;
	tab[5][5][8][0] = 31680;
	tab[5][6][0][1] = 49;
	tab[5][6][1][0] = 49;
	tab[5][6][0][2] = 686;
	tab[5][6][1][1] = 1372;
	tab[5][6][2][0] = 686;
	tab[5][6][0][3] = 4459;
	tab[5][6][1][2] = 14063;
	tab[5][6][2][1] = 14063;
	tab[5][6][3][0] = 4459;
	tab[5][6][0][4] = 17836;
	tab[5][6][1][3] = 80262;
	tab[5][6][2][2] = 124852;
	tab[5][6][3][1] = 80262;
	tab[5][6][4][0] = 17836;
	tab[5][6][0][5] = 49049;
	tab[5][6][1][4] = 298753;
	tab[5][6][2][3] = 655473;
	tab[5][6][3][2] = 655473;
	tab[5][6][4][1] = 298753;
	tab[5][6][5][0] = 49049;
	tab[5][6][0][6] = 98098;
	tab[5][6][1][5] = 784784;
	tab[5][6][2][4] = 2309762;
	tab[5][6][3][3] = 3246152;
	tab[5][6][4][2] = 2309762;
	tab[5][6][5][1] = 784784;
	tab[5][6][6][0] = 98098;
	tab[5][6][0][7] = 147147;
	tab[5][6][1][6] = 1520519;
	tab[5][6][2][5] = 5836831;
	tab[5][6][3][4] = 10955763;
	tab[5][6][4][3] = 10955763;
	tab[5][6][5][2] = 5836831;
	tab[5][6][6][1] = 1520519;
	tab[5][6][7][0] = 147147;
	tab[5][6][0][8] = 168168;
	tab[5][6][1][7] = 2228226;
	tab[5][6][2][6] = 10986976;
	tab[5][6][3][5] = 26780754;
	tab[5][6][4][4] = 35707672;
	tab[5][6][5][3] = 26780754;
	tab[5][6][6][2] = 10986976;
	tab[5][6][7][1] = 2228226;
	tab[5][6][8][0] = 168168;
	tab[5][7][0][1] = 58;
	tab[5][7][1][0] = 58;
	tab[5][7][0][2] = 928;
	tab[5][7][1][1] = 1914;
	tab[5][7][2][0] = 986;
	tab[5][7][0][3] = 6960;
	tab[5][7][1][2] = 22736;
	tab[5][7][2][1] = 23664;
	tab[5][7][3][0] = 7888;
	tab[5][7][0][4] = 32480;
	tab[5][7][1][3] = 150800;
	tab[5][7][2][2] = 244528;
	tab[5][7][3][1] = 165648;
	tab[5][7][4][0] = 39440;
	tab[5][7][0][5] = 105560;
	tab[5][7][1][4] = 657720;
	tab[5][7][2][3] = 1498720;
	tab[5][7][3][2] = 1577600;
	tab[5][7][4][1] = 769080;
	tab[5][7][5][0] = 138040;
	tab[5][7][0][6] = 253344;
	tab[5][7][1][5] = 2047864;
	tab[5][7][2][4] = 6211800;
	tab[5][7][3][3] = 9150080;
	tab[5][7][4][2] = 6941440;
	tab[5][7][5][1] = 2567544;
	tab[5][7][6][0] = 358904;
	tab[5][7][0][7] = 464464;
	tab[5][7][1][6] = 4771312;
	tab[5][7][2][5] = 18663008;
	tab[5][7][3][4] = 36442560;
	tab[5][7][4][3] = 38651200;
	tab[5][7][5][2] = 22307264;
	tab[5][7][6][1] = 6460272;
	tab[5][7][7][0] = 717808;
	tab[5][7][0][8] = 663520;
	tab[5][7][1][7] = 8559408;
	tab[5][7][2][6] = 42350672;
	tab[5][7][3][5] = 106235584;
	tab[5][7][4][4] = 149083200;
	tab[5][7][5][3] = 120370880;
	tab[5][7][6][2] = 54553408;
	tab[5][7][7][1] = 12612912;
	tab[5][7][8][0] = 1127984;
	tab[5][8][0][1] = 67;
	tab[5][8][1][0] = 67;
	tab[5][8][0][2] = 1273;
	tab[5][8][1][1] = 2546;
	tab[5][8][2][0] = 1273;
	tab[5][8][0][3] = 11457;
	tab[5][8][1][2] = 35644;
	tab[5][8][2][1] = 35644;
	tab[5][8][3][0] = 11457;
	tab[5][8][0][4] = 64923;
	tab[5][8][1][3] = 282606;
	tab[5][8][2][2] = 435366;
	tab[5][8][3][1] = 282606;
	tab[5][8][4][0] = 64923;
	tab[5][8][0][5] = 259692;
	tab[5][8][1][4] = 1493229;
	tab[5][8][2][3] = 3192684;
	tab[5][8][3][2] = 3192684;
	tab[5][8][4][1] = 1493229;
	tab[5][8][5][0] = 259692;
	tab[5][8][0][6] = 779076;
	tab[5][8][1][5] = 5713224;
	tab[5][8][2][4] = 16035981;
	tab[5][8][3][3] = 22203666;
	tab[5][8][4][2] = 16035981;
	tab[5][8][5][1] = 5713224;
	tab[5][8][6][0] = 779076;
	tab[5][8][0][7] = 1817844;
	tab[5][8][1][6] = 16620288;
	tab[5][8][2][5] = 59209776;
	tab[5][8][3][4] = 107317719;
	tab[5][8][4][3] = 107317719;
	tab[5][8][5][2] = 59209776;
	tab[5][8][6][1] = 16620288;
	tab[5][8][7][0] = 1817844;
	tab[5][8][0][8] = 3375996;
	tab[5][8][1][7] = 37915032;
	tab[5][8][2][6] = 167761032;
	tab[5][8][3][5] = 384863544;
	tab[5][8][4][4] = 503283096;
	tab[5][8][5][3] = 384863544;
	tab[5][8][6][2] = 167761032;
	tab[5][8][7][1] = 37915032;
	tab[5][8][8][0] = 3375996;
	tab[6][1][0][1] = 5;
	tab[6][1][1][0] = 5;
	tab[6][1][0][2] = 10;
	tab[6][1][1][1] = 20;
	tab[6][1][2][0] = 10;
	tab[6][1][0][3] = 5;
	tab[6][1][1][2] = 25;
	tab[6][1][2][1] = 25;
	tab[6][1][3][0] = 5;
	tab[6][1][0][4] = 0;
	tab[6][1][1][3] = 10;
	tab[6][1][2][2] = 20;
	tab[6][1][3][1] = 10;
	tab[6][1][4][0] = 0;
	tab[6][1][0][5] = 0;
	tab[6][1][1][4] = 0;
	tab[6][1][2][3] = 5;
	tab[6][1][3][2] = 5;
	tab[6][1][4][1] = 0;
	tab[6][1][5][0] = 0;
	tab[6][2][0][1] = 16;
	tab[6][2][1][0] = 16;
	tab[6][2][0][2] = 80;
	tab[6][2][1][1] = 160;
	tab[6][2][2][0] = 80;
	tab[6][2][0][3] = 160;
	tab[6][2][1][2] = 560;
	tab[6][2][2][1] = 560;
	tab[6][2][3][0] = 160;
	tab[6][2][0][4] = 160;
	tab[6][2][1][3] = 960;
	tab[6][2][2][2] = 1600;
	tab[6][2][3][1] = 960;
	tab[6][2][4][0] = 160;
	tab[6][2][0][5] = 80;
	tab[6][2][1][4] = 880;
	tab[6][2][2][3] = 2400;
	tab[6][2][3][2] = 2400;
	tab[6][2][4][1] = 880;
	tab[6][2][5][0] = 80;
	tab[6][2][0][6] = 16;
	tab[6][2][1][5] = 416;
	tab[6][2][2][4] = 2000;
	tab[6][2][3][3] = 3200;
	tab[6][2][4][2] = 2000;
	tab[6][2][5][1] = 416;
	tab[6][2][6][0] = 16;
	tab[6][2][0][7] = 0;
	tab[6][2][1][6] = 80;
	tab[6][2][2][5] = 880;
	tab[6][2][3][4] = 2400;
	tab[6][2][4][3] = 2400;
	tab[6][2][5][2] = 880;
	tab[6][2][6][1] = 80;
	tab[6][2][7][0] = 0;
	tab[6][2][0][8] = 0;
	tab[6][2][1][7] = 0;
	tab[6][2][2][6] = 160;
	tab[6][2][3][5] = 960;
	tab[6][2][4][4] = 1600;
	tab[6][2][5][3] = 960;
	tab[6][2][6][2] = 160;
	tab[6][2][7][1] = 0;
	tab[6][2][8][0] = 0;
	tab[6][3][0][1] = 27;
	tab[6][3][1][0] = 27;
	tab[6][3][0][2] = 216;
	tab[6][3][1][1] = 432;
	tab[6][3][2][0] = 216;
	tab[6][3][0][3] = 756;
	tab[6][3][1][2] = 2484;
	tab[6][3][2][1] = 2484;
	tab[6][3][3][0] = 756;
	tab[6][3][0][4] = 1512;
	tab[6][3][1][3] = 7560;
	tab[6][3][2][2] = 12096;
	tab[6][3][3][1] = 7560;
	tab[6][3][4][0] = 1512;
	tab[6][3][0][5] = 1890;
	tab[6][3][1][4] = 13986;
	tab[6][3][2][3] = 33264;
	tab[6][3][3][2] = 33264;
	tab[6][3][4][1] = 13986;
	tab[6][3][5][0] = 1890;
	tab[6][3][0][6] = 1512;
	tab[6][3][1][5] = 16632;
	tab[6][3][2][4] = 57456;
	tab[6][3][3][3] = 84672;
	tab[6][3][4][2] = 57456;
	tab[6][3][5][1] = 16632;
	tab[6][3][6][0] = 1512;
	tab[6][3][0][7] = 756;
	tab[6][3][1][6] = 12852;
	tab[6][3][2][5] = 65016;
	tab[6][3][3][4] = 137592;
	tab[6][3][4][3] = 137592;
	tab[6][3][5][2] = 65016;
	tab[6][3][6][1] = 12852;
	tab[6][3][7][0] = 756;
	tab[6][3][0][8] = 216;
	tab[6][3][1][7] = 6264;
	tab[6][3][2][6] = 48384;
	tab[6][3][3][5] = 148176;
	tab[6][3][4][4] = 211680;
	tab[6][3][5][3] = 148176;
	tab[6][3][6][2] = 48384;
	tab[6][3][7][1] = 6264;
	tab[6][3][8][0] = 216;
	tab[6][4][0][1] = 38;
	tab[6][4][1][0] = 38;
	tab[6][4][0][2] = 418;
	tab[6][4][1][1] = 836;
	tab[6][4][2][0] = 418;
	tab[6][4][0][3] = 2090;
	tab[6][4][1][2] = 6688;
	tab[6][4][2][1] = 6688;
	tab[6][4][3][0] = 2090;
	tab[6][4][0][4] = 6270;
	tab[6][4][1][3] = 29260;
	tab[6][4][2][2] = 45980;
	tab[6][4][3][1] = 29260;
	tab[6][4][4][0] = 6270;
	tab[6][4][0][5] = 12540;
	tab[6][4][1][4] = 81510;
	tab[6][4][2][3] = 183920;
	tab[6][4][3][2] = 183920;
	tab[6][4][4][1] = 81510;
	tab[6][4][5][0] = 12540;
	tab[6][4][0][6] = 17556;
	tab[6][4][1][5] = 155496;
	tab[6][4][2][4] = 482790;
	tab[6][4][3][3] = 689700;
	tab[6][4][4][2] = 482790;
	tab[6][4][5][1] = 155496;
	tab[6][4][6][0] = 17556;
	tab[6][4][0][7] = 17556;
	tab[6][4][1][6] = 210672;
	tab[6][4][2][5] = 882816;
	tab[6][4][3][4] = 1724250;
	tab[6][4][4][3] = 1724250;
	tab[6][4][5][2] = 882816;
	tab[6][4][6][1] = 210672;
	tab[6][4][7][0] = 17556;
	tab[6][4][0][8] = 12540;
	tab[6][4][1][7] = 205656;
	tab[6][4][2][6] = 1158696;
	tab[6][4][3][5] = 3034680;
	tab[6][4][4][4] = 4138200;
	tab[6][4][5][3] = 3034680;
	tab[6][4][6][2] = 1158696;
	tab[6][4][7][1] = 205656;
	tab[6][4][8][0] = 12540;
	tab[6][5][0][1] = 49;
	tab[6][5][1][0] = 49;
	tab[6][5][0][2] = 686;
	tab[6][5][1][1] = 1372;
	tab[6][5][2][0] = 686;
	tab[6][5][0][3] = 4459;
	tab[6][5][1][2] = 14063;
	tab[6][5][2][1] = 14063;
	tab[6][5][3][0] = 4459;
	tab[6][5][0][4] = 17836;
	tab[6][5][1][3] = 80262;
	tab[6][5][2][2] = 124852;
	tab[6][5][3][1] = 80262;
	tab[6][5][4][0] = 17836;
	tab[6][5][0][5] = 49049;
	tab[6][5][1][4] = 298753;
	tab[6][5][2][3] = 655473;
	tab[6][5][3][2] = 655473;
	tab[6][5][4][1] = 298753;
	tab[6][5][5][0] = 49049;
	tab[6][5][0][6] = 98098;
	tab[6][5][1][5] = 784784;
	tab[6][5][2][4] = 2309762;
	tab[6][5][3][3] = 3246152;
	tab[6][5][4][2] = 2309762;
	tab[6][5][5][1] = 784784;
	tab[6][5][6][0] = 98098;
	tab[6][5][0][7] = 147147;
	tab[6][5][1][6] = 1520519;
	tab[6][5][2][5] = 5836831;
	tab[6][5][3][4] = 10955763;
	tab[6][5][4][3] = 10955763;
	tab[6][5][5][2] = 5836831;
	tab[6][5][6][1] = 1520519;
	tab[6][5][7][0] = 147147;
	tab[6][5][0][8] = 168168;
	tab[6][5][1][7] = 2228226;
	tab[6][5][2][6] = 10986976;
	tab[6][5][3][5] = 26780754;
	tab[6][5][4][4] = 35707672;
	tab[6][5][5][3] = 26780754;
	tab[6][5][6][2] = 10986976;
	tab[6][5][7][1] = 2228226;
	tab[6][5][8][0] = 168168;
	tab[6][6][0][1] = 60;
	tab[6][6][1][0] = 60;
	tab[6][6][0][2] = 1020;
	tab[6][6][1][1] = 2040;
	tab[6][6][2][0] = 1020;
	tab[6][6][0][3] = 8160;
	tab[6][6][1][2] = 25500;
	tab[6][6][2][1] = 25500;
	tab[6][6][3][0] = 8160;
	tab[6][6][0][4] = 40800;
	tab[6][6][1][3] = 179520;
	tab[6][6][2][2] = 277440;
	tab[6][6][3][1] = 179520;
	tab[6][6][4][0] = 40800;
	tab[6][6][0][5] = 142800;
	tab[6][6][1][4] = 836400;
	tab[6][6][2][3] = 1803360;
	tab[6][6][3][2] = 1803360;
	tab[6][6][4][1] = 836400;
	tab[6][6][5][0] = 142800;
	tab[6][6][0][6] = 371280;
	tab[6][6][1][5] = 2798880;
	tab[6][6][2][4] = 7976400;
	tab[6][6][3][3] = 11097600;
	tab[6][6][4][2] = 7976400;
	tab[6][6][5][1] = 2798880;
	tab[6][6][6][0] = 371280;
	tab[6][6][0][7] = 742560;
	tab[6][6][1][6] = 7054320;
	tab[6][6][2][5] = 25732560;
	tab[6][6][3][4] = 47164800;
	tab[6][6][4][3] = 47164800;
	tab[6][6][5][2] = 25732560;
	tab[6][6][6][1] = 7054320;
	tab[6][6][7][0] = 742560;
	tab[6][6][0][8] = 1166880;
	tab[6][6][1][7] = 13790400;
	tab[6][6][2][6] = 63117600;
	tab[6][6][3][5] = 147598080;
	tab[6][6][4][4] = 194208000;
	tab[6][6][5][3] = 147598080;
	tab[6][6][6][2] = 63117600;
	tab[6][6][7][1] = 13790400;
	tab[6][6][8][0] = 1166880;
	tab[6][7][0][1] = 71;
	tab[6][7][1][0] = 71;
	tab[6][7][0][2] = 1420;
	tab[6][7][1][1] = 2840;
	tab[6][7][2][0] = 1420;
	tab[6][7][0][3] = 13490;
	tab[6][7][1][2] = 41890;
	tab[6][7][2][1] = 41890;
	tab[6][7][3][0] = 13490;
	tab[6][7][0][4] = 80940;
	tab[6][7][1][3] = 350740;
	tab[6][7][2][2] = 539600;
	tab[6][7][3][1] = 350740;
	tab[6][7][4][0] = 80940;
	tab[6][7][0][5] = 343995;
	tab[6][7][1][4] = 1962795;
	tab[6][7][2][3] = 4181900;
	tab[6][7][3][2] = 4181900;
	tab[6][7][4][1] = 1962795;
	tab[6][7][5][0] = 343995;
	tab[6][7][0][6] = 1100784;
	tab[6][7][1][5] = 7980684;
	tab[6][7][2][4] = 22258500;
	tab[6][7][3][3] = 30757200;
	tab[6][7][4][2] = 22258500;
	tab[6][7][5][1] = 7980684;
	tab[6][7][6][0] = 1100784;
	tab[6][7][0][7] = 2751960;
	tab[6][7][1][6] = 24767640;
	tab[6][7][2][5] = 87374730;
	tab[6][7][3][4] = 157630650;
	tab[6][7][4][3] = 157630650;
	tab[6][7][5][2] = 87374730;
	tab[6][7][6][1] = 24767640;
	tab[6][7][7][0] = 2751960;
	tab[6][7][0][8] = 5503920;
	tab[6][7][1][7] = 60543120;
	tab[6][7][2][6] = 264188160;
	tab[6][7][3][5] = 601303260;
	tab[6][7][4][4] = 784308600;
	tab[6][7][5][3] = 601303260;
	tab[6][7][6][2] = 264188160;
	tab[6][7][7][1] = 60543120;
	tab[6][7][8][0] = 5503920;
	tab[6][8][0][1] = 82;
	tab[6][8][1][0] = 82;
	tab[6][8][0][2] = 1886;
	tab[6][8][1][1] = 3772;
	tab[6][8][2][0] = 1886;
	tab[6][8][0][3] = 20746;
	tab[6][8][1][2] = 64124;
	tab[6][8][2][1] = 64124;
	tab[6][8][3][0] = 20746;
	tab[6][8][0][4] = 145222;
	tab[6][8][1][3] = 622380;
	tab[6][8][2][2] = 954316;
	tab[6][8][3][1] = 622380;
	tab[6][8][4][0] = 145222;
	tab[6][8][0][5] = 726110;
	tab[6][8][1][4] = 4066216;
	tab[6][8][2][3] = 8588844;
	tab[6][8][3][2] = 8588844;
	tab[6][8][4][1] = 4066216;
	tab[6][8][5][0] = 726110;
	tab[6][8][0][6] = 2759218;
	tab[6][8][1][5] = 19459748;
	tab[6][8][2][4] = 53441696;
	tab[6][8][3][3] = 73482332;
	tab[6][8][4][2] = 53441696;
	tab[6][8][5][1] = 19459748;
	tab[6][8][6][0] = 2759218;
	tab[6][8][0][7] = 8277654;
	tab[6][8][1][6] = 71739668;
	tab[6][8][2][5] = 247167844;
	tab[6][8][3][4] = 440893992;
	tab[6][8][4][3] = 440893992;
	tab[6][8][5][2] = 247167844;
	tab[6][8][6][1] = 71739668;
	tab[6][8][7][0] = 8277654;
	tab[6][8][0][8] = 20102874;
	tab[6][8][1][7] = 210488916;
	tab[6][8][2][6] = 888468196;
	tab[6][8][3][5] = 1984022964;
	tab[6][8][4][4] = 2571881620;
	tab[6][8][5][3] = 1984022964;
	tab[6][8][6][2] = 888468196;
	tab[6][8][7][1] = 210488916;
	tab[6][8][8][0] = 20102874;
	tab[7][1][0][1] = 6;
	tab[7][1][1][0] = 6;
	tab[7][1][0][2] = 12;
	tab[7][1][1][1] = 30;
	tab[7][1][2][0] = 18;
	tab[7][1][0][3] = 6;
	tab[7][1][1][2] = 42;
	tab[7][1][2][1] = 54;
	tab[7][1][3][0] = 18;
	tab[7][1][0][4] = 0;
	tab[7][1][1][3] = 18;
	tab[7][1][2][2] = 54;
	tab[7][1][3][1] = 42;
	tab[7][1][4][0] = 6;
	tab[7][1][0][5] = 0;
	tab[7][1][1][4] = 0;
	tab[7][1][2][3] = 18;
	tab[7][1][3][2] = 30;
	tab[7][1][4][1] = 12;
	tab[7][1][5][0] = 0;
	tab[7][1][0][6] = 0;
	tab[7][1][1][5] = 0;
	tab[7][1][2][4] = 0;
	tab[7][1][3][3] = 6;
	tab[7][1][4][2] = 6;
	tab[7][1][5][1] = 0;
	tab[7][1][6][0] = 0;
	tab[7][2][0][1] = 19;
	tab[7][2][1][0] = 19;
	tab[7][2][0][2] = 114;
	tab[7][2][1][1] = 228;
	tab[7][2][2][0] = 114;
	tab[7][2][0][3] = 285;
	tab[7][2][1][2] = 969;
	tab[7][2][2][1] = 969;
	tab[7][2][3][0] = 285;
	tab[7][2][0][4] = 380;
	tab[7][2][1][3] = 2090;
	tab[7][2][2][2] = 3420;
	tab[7][2][3][1] = 2090;
	tab[7][2][4][0] = 380;
	tab[7][2][0][5] = 285;
	tab[7][2][1][4] = 2565;
	tab[7][2][2][3] = 6555;
	tab[7][2][3][2] = 6555;
	tab[7][2][4][1] = 2565;
	tab[7][2][5][0] = 285;
	tab[7][2][0][6] = 114;
	tab[7][2][1][5] = 1824;
	tab[7][2][2][4] = 7410;
	tab[7][2][3][3] = 11400;
	tab[7][2][4][2] = 7410;
	tab[7][2][5][1] = 1824;
	tab[7][2][6][0] = 114;
	tab[7][2][0][7] = 19;
	tab[7][2][1][6] = 703;
	tab[7][2][2][5] = 4959;
	tab[7][2][3][4] = 11875;
	tab[7][2][4][3] = 11875;
	tab[7][2][5][2] = 4959;
	tab[7][2][6][1] = 703;
	tab[7][2][7][0] = 19;
	tab[7][2][0][8] = 0;
	tab[7][2][1][7] = 114;
	tab[7][2][2][6] = 1824;
	tab[7][2][3][5] = 7410;
	tab[7][2][4][4] = 11400;
	tab[7][2][5][3] = 7410;
	tab[7][2][6][2] = 1824;
	tab[7][2][7][1] = 114;
	tab[7][2][8][0] = 0;
	tab[7][3][0][1] = 32;
	tab[7][3][1][0] = 32;
	tab[7][3][0][2] = 288;
	tab[7][3][1][1] = 608;
	tab[7][3][2][0] = 320;
	tab[7][3][0][3] = 1152;
	tab[7][3][1][2] = 4032;
	tab[7][3][2][1] = 4320;
	tab[7][3][3][0] = 1440;
	tab[7][3][0][4] = 2688;
	tab[7][3][1][3] = 14208;
	tab[7][3][2][2] = 24480;
	tab[7][3][3][1] = 16800;
	tab[7][3][4][0] = 3840;
	tab[7][3][0][5] = 4032;
	tab[7][3][1][4] = 30912;
	tab[7][3][2][3] = 78720;
	tab[7][3][3][2] = 86400;
	tab[7][3][4][1] = 41280;
	tab[7][3][5][0] = 6720;
	tab[7][3][0][6] = 4032;
	tab[7][3][1][5] = 44352;
	tab[7][3][2][4] = 161280;
	tab[7][3][3][3] = 259200;
	tab[7][3][4][2] = 198720;
	tab[7][3][5][1] = 68544;
	tab[7][3][6][0] = 8064;
	tab[7][3][0][7] = 2688;
	tab[7][3][1][6] = 43008;
	tab[7][3][2][5] = 221760;
	tab[7][3][3][4] = 504000;
	tab[7][3][4][3] = 564480;
	tab[7][3][5][2] = 314496;
	tab[7][3][6][1] = 79296;
	tab[7][3][7][0] = 6720;
	tab[7][3][0][8] = 1152;
	tab[7][3][1][7] = 28032;
	tab[7][3][2][6] = 208320;
	tab[7][3][3][5] = 665280;
	tab[7][3][4][4] = 1048320;
	tab[7][3][5][3] = 854784;
	tab[7][3][6][2] = 350784;
	tab[7][3][7][1] = 64320;
	tab[7][3][8][0] = 3840;
	tab[7][4][0][1] = 45;
	tab[7][4][1][0] = 45;
	tab[7][4][0][2] = 585;
	tab[7][4][1][1] = 1170;
	tab[7][4][2][0] = 585;
	tab[7][4][0][3] = 3510;
	tab[7][4][1][2] = 11115;
	tab[7][4][2][1] = 11115;
	tab[7][4][3][0] = 3510;
	tab[7][4][0][4] = 12870;
	tab[7][4][1][3] = 58500;
	tab[7][4][2][2] = 91260;
	tab[7][4][3][1] = 58500;
	tab[7][4][4][0] = 12870;
	tab[7][4][0][5] = 32175;
	tab[7][4][1][4] = 199485;
	tab[7][4][2][3] = 441090;
	tab[7][4][3][2] = 441090;
	tab[7][4][4][1] = 199485;
	tab[7][4][5][0] = 32175;
	tab[7][4][0][6] = 57915;
	tab[7][4][1][5] = 476190;
	tab[7][4][2][4] = 1422135;
	tab[7][4][3][3] = 2007720;
	tab[7][4][4][2] = 1422135;
	tab[7][4][5][1] = 476190;
	tab[7][4][6][0] = 57915;
	tab[7][4][0][7] = 77220;
	tab[7][4][1][6] = 830115;
	tab[7][4][2][5] = 3262545;
	tab[7][4][3][4] = 6190470;
	tab[7][4][4][3] = 6190470;
	tab[7][4][5][2] = 3262545;
	tab[7][4][6][1] = 830115;
	tab[7][4][7][0] = 77220;
	tab[7][4][0][8] = 77220;
	tab[7][4][1][7] = 1081080;
	tab[7][4][2][6] = 5521230;
	tab[7][4][3][5] = 13719420;
	tab[7][4][4][4] = 18404100;
	tab[7][4][5][3] = 13719420;
	tab[7][4][6][2] = 5521230;
	tab[7][4][7][1] = 1081080;
	tab[7][4][8][0] = 77220;
	tab[7][5][0][1] = 58;
	tab[7][5][1][0] = 58;
	tab[7][5][0][2] = 928;
	tab[7][5][1][1] = 1914;
	tab[7][5][2][0] = 986;
	tab[7][5][0][3] = 6960;
	tab[7][5][1][2] = 22736;
	tab[7][5][2][1] = 23664;
	tab[7][5][3][0] = 7888;
	tab[7][5][0][4] = 32480;
	tab[7][5][1][3] = 150800;
	tab[7][5][2][2] = 244528;
	tab[7][5][3][1] = 165648;
	tab[7][5][4][0] = 39440;
	tab[7][5][0][5] = 105560;
	tab[7][5][1][4] = 657720;
	tab[7][5][2][3] = 1498720;
	tab[7][5][3][2] = 1577600;
	tab[7][5][4][1] = 769080;
	tab[7][5][5][0] = 138040;
	tab[7][5][0][6] = 253344;
	tab[7][5][1][5] = 2047864;
	tab[7][5][2][4] = 6211800;
	tab[7][5][3][3] = 9150080;
	tab[7][5][4][2] = 6941440;
	tab[7][5][5][1] = 2567544;
	tab[7][5][6][0] = 358904;
	tab[7][5][0][7] = 464464;
	tab[7][5][1][6] = 4771312;
	tab[7][5][2][5] = 18663008;
	tab[7][5][3][4] = 36442560;
	tab[7][5][4][3] = 38651200;
	tab[7][5][5][2] = 22307264;
	tab[7][5][6][1] = 6460272;
	tab[7][5][7][0] = 717808;
	tab[7][5][0][8] = 663520;
	tab[7][5][1][7] = 8559408;
	tab[7][5][2][6] = 42350672;
	tab[7][5][3][5] = 106235584;
	tab[7][5][4][4] = 149083200;
	tab[7][5][5][3] = 120370880;
	tab[7][5][6][2] = 54553408;
	tab[7][5][7][1] = 12612912;
	tab[7][5][8][0] = 1127984;
	tab[7][6][0][1] = 71;
	tab[7][6][1][0] = 71;
	tab[7][6][0][2] = 1420;
	tab[7][6][1][1] = 2840;
	tab[7][6][2][0] = 1420;
	tab[7][6][0][3] = 13490;
	tab[7][6][1][2] = 41890;
	tab[7][6][2][1] = 41890;
	tab[7][6][3][0] = 13490;
	tab[7][6][0][4] = 80940;
	tab[7][6][1][3] = 350740;
	tab[7][6][2][2] = 539600;
	tab[7][6][3][1] = 350740;
	tab[7][6][4][0] = 80940;
	tab[7][6][0][5] = 343995;
	tab[7][6][1][4] = 1962795;
	tab[7][6][2][3] = 4181900;
	tab[7][6][3][2] = 4181900;
	tab[7][6][4][1] = 1962795;
	tab[7][6][5][0] = 343995;
	tab[7][6][0][6] = 1100784;
	tab[7][6][1][5] = 7980684;
	tab[7][6][2][4] = 22258500;
	tab[7][6][3][3] = 30757200;
	tab[7][6][4][2] = 22258500;
	tab[7][6][5][1] = 7980684;
	tab[7][6][6][0] = 1100784;
	tab[7][6][0][7] = 2751960;
	tab[7][6][1][6] = 24767640;
	tab[7][6][2][5] = 87374730;
	tab[7][6][3][4] = 157630650;
	tab[7][6][4][3] = 157630650;
	tab[7][6][5][2] = 87374730;
	tab[7][6][6][1] = 24767640;
	tab[7][6][7][0] = 2751960;
	tab[7][6][0][8] = 5503920;
	tab[7][6][1][7] = 60543120;
	tab[7][6][2][6] = 264188160;
	tab[7][6][3][5] = 601303260;
	tab[7][6][4][4] = 784308600;
	tab[7][6][5][3] = 601303260;
	tab[7][6][6][2] = 264188160;
	tab[7][6][7][1] = 60543120;
	tab[7][6][8][0] = 5503920;
	tab[7][7][0][1] = 84;
	tab[7][7][1][0] = 84;
	tab[7][7][0][2] = 1932;
	tab[7][7][1][1] = 3948;
	tab[7][7][2][0] = 2016;
	tab[7][7][0][3] = 21252;
	tab[7][7][1][2] = 67620;
	tab[7][7][2][1] = 69552;
	tab[7][7][3][0] = 23184;
	tab[7][7][0][4] = 148764;
	tab[7][7][1][3] = 658812;
	tab[7][7][2][2] = 1043280;
	tab[7][7][3][1] = 703248;
	tab[7][7][4][0] = 170016;
	tab[7][7][0][5] = 743820;
	tab[7][7][1][4] = 4314156;
	tab[7][7][2][3] = 9435888;
	tab[7][7][3][2] = 9775920;
	tab[7][7][4][1] = 4802952;
	tab[7][7][5][0] = 892584;
	tab[7][7][0][6] = 2826516;
	tab[7][7][1][5] = 20678196;
	tab[7][7][2][4] = 58910544;
	tab[7][7][3][3] = 84072912;
	tab[7][7][4][2] = 63543480;
	tab[7][7][5][1] = 24099768;
	tab[7][7][6][0] = 3570336;
	tab[7][7][0][7] = 8479548;
	tab[7][7][1][6] = 76315932;
	tab[7][7][2][5] = 273130704;
	tab[7][7][3][4] = 506392656;
	tab[7][7][4][3] = 526922088;
	tab[7][7][5][2] = 307941480;
	tab[7][7][6][1] = 93423792;
	tab[7][7][7][0] = 11306064;
	tab[7][7][0][8] = 20593188;
	tab[7][7][1][7] = 224102340;
	tab[7][7][2][6] = 983627568;
	tab[7][7][3][5] = 2285610096;
	tab[7][7][4][4] = 3086257944;
	tab[7][7][5][3] = 2484061272;
	tab[7][7][6][2] = 1163334480;
	tab[7][7][7][1] = 289112208;
	tab[7][7][8][0] = 29072736;
	tab[7][8][0][1] = 97;
	tab[7][8][1][0] = 97;
	tab[7][8][0][2] = 2619;
	tab[7][8][1][1] = 5238;
	tab[7][8][2][0] = 2619;
	tab[7][8][0][3] = 34047;
	tab[7][8][1][2] = 104760;
	tab[7][8][2][1] = 104760;
	tab[7][8][3][0] = 34047;
	tab[7][8][0][4] = 283725;
	tab[7][8][1][3] = 1202994;
	tab[7][8][2][2] = 1838538;
	tab[7][8][3][1] = 1202994;
	tab[7][8][4][0] = 283725;
	tab[7][8][0][5] = 1702350;
	tab[7][8][1][4] = 9362925;
	tab[7][8][2][3] = 19611072;
	tab[7][8][3][2] = 19611072;
	tab[7][8][4][1] = 9362925;
	tab[7][8][5][0] = 1702350;
	tab[7][8][0][6] = 7830810;
	tab[7][8][1][5] = 53794260;
	tab[7][8][2][4] = 145550925;
	tab[7][8][3][3] = 199174950;
	tab[7][8][4][2] = 145550925;
	tab[7][8][5][1] = 53794260;
	tab[7][8][6][0] = 7830810;
	tab[7][8][0][7] = 28712970;
	tab[7][8][1][6] = 240144840;
	tab[7][8][2][5] = 808956720;
	tab[7][8][3][4] = 1427420475;
	tab[7][8][4][3] = 1427420475;
	tab[7][8][5][2] = 808956720;
	tab[7][8][6][1] = 240144840;
	tab[7][8][7][0] = 28712970;
	tab[7][8][0][8] = 86138910;
	tab[7][8][1][7] = 861389100;
	tab[7][8][2][6] = 3523864500;
	tab[7][8][3][5] = 7727988060;
	tab[7][8][4][4] = 9958747500;
	tab[7][8][5][3] = 7727988060;
	tab[7][8][6][2] = 3523864500;
	tab[7][8][7][1] = 861389100;
	tab[7][8][8][0] = 86138910;
	tab[8][1][0][1] = 7;
	tab[8][1][1][0] = 7;
	tab[8][1][0][2] = 21;
	tab[8][1][1][1] = 42;
	tab[8][1][2][0] = 21;
	tab[8][1][0][3] = 21;
	tab[8][1][1][2] = 84;
	tab[8][1][2][1] = 84;
	tab[8][1][3][0] = 21;
	tab[8][1][0][4] = 7;
	tab[8][1][1][3] = 70;
	tab[8][1][2][2] = 126;
	tab[8][1][3][1] = 70;
	tab[8][1][4][0] = 7;
	tab[8][1][0][5] = 0;
	tab[8][1][1][4] = 21;
	tab[8][1][2][3] = 84;
	tab[8][1][3][2] = 84;
	tab[8][1][4][1] = 21;
	tab[8][1][5][0] = 0;
	tab[8][1][0][6] = 0;
	tab[8][1][1][5] = 0;
	tab[8][1][2][4] = 21;
	tab[8][1][3][3] = 42;
	tab[8][1][4][2] = 21;
	tab[8][1][5][1] = 0;
	tab[8][1][6][0] = 0;
	tab[8][1][0][7] = 0;
	tab[8][1][1][6] = 0;
	tab[8][1][2][5] = 0;
	tab[8][1][3][4] = 7;
	tab[8][1][4][3] = 7;
	tab[8][1][5][2] = 0;
	tab[8][1][6][1] = 0;
	tab[8][1][7][0] = 0;
	tab[8][2][0][1] = 22;
	tab[8][2][1][0] = 22;
	tab[8][2][0][2] = 154;
	tab[8][2][1][1] = 308;
	tab[8][2][2][0] = 154;
	tab[8][2][0][3] = 462;
	tab[8][2][1][2] = 1540;
	tab[8][2][2][1] = 1540;
	tab[8][2][3][0] = 462;
	tab[8][2][0][4] = 770;
	tab[8][2][1][3] = 4004;
	tab[8][2][2][2] = 6468;
	tab[8][2][3][1] = 4004;
	tab[8][2][4][0] = 770;
	tab[8][2][0][5] = 770;
	tab[8][2][1][4] = 6160;
	tab[8][2][2][3] = 15092;
	tab[8][2][3][2] = 15092;
	tab[8][2][4][1] = 6160;
	tab[8][2][5][0] = 770;
	tab[8][2][0][6] = 462;
	tab[8][2][1][5] = 5852;
	tab[8][2][2][4] = 21560;
	tab[8][2][3][3] = 32340;
	tab[8][2][4][2] = 21560;
	tab[8][2][5][1] = 5852;
	tab[8][2][6][0] = 462;
	tab[8][2][0][7] = 154;
	tab[8][2][1][6] = 3388;
	tab[8][2][2][5] = 19404;
	tab[8][2][3][4] = 43120;
	tab[8][2][4][3] = 43120;
	tab[8][2][5][2] = 19404;
	tab[8][2][6][1] = 3388;
	tab[8][2][7][0] = 154;
	tab[8][2][0][8] = 22;
	tab[8][2][1][7] = 1100;
	tab[8][2][2][6] = 10780;
	tab[8][2][3][5] = 36652;
	tab[8][2][4][4] = 53900;
	tab[8][2][5][3] = 36652;
	tab[8][2][6][2] = 10780;
	tab[8][2][7][1] = 1100;
	tab[8][2][8][0] = 22;
	tab[8][3][0][1] = 37;
	tab[8][3][1][0] = 37;
	tab[8][3][0][2] = 407;
	tab[8][3][1][1] = 814;
	tab[8][3][2][0] = 407;
	tab[8][3][0][3] = 2035;
	tab[8][3][1][2] = 6512;
	tab[8][3][2][1] = 6512;
	tab[8][3][3][0] = 2035;
	tab[8][3][0][4] = 6105;
	tab[8][3][1][3] = 28490;
	tab[8][3][2][2] = 44770;
	tab[8][3][3][1] = 28490;
	tab[8][3][4][0] = 6105;
	tab[8][3][0][5] = 12210;
	tab[8][3][1][4] = 79365;
	tab[8][3][2][3] = 179080;
	tab[8][3][3][2] = 179080;
	tab[8][3][4][1] = 79365;
	tab[8][3][5][0] = 12210;
	tab[8][3][0][6] = 17094;
	tab[8][3][1][5] = 151404;
	tab[8][3][2][4] = 470085;
	tab[8][3][3][3] = 671550;
	tab[8][3][4][2] = 470085;
	tab[8][3][5][1] = 151404;
	tab[8][3][6][0] = 17094;
	tab[8][3][0][7] = 17094;
	tab[8][3][1][6] = 205128;
	tab[8][3][2][5] = 859584;
	tab[8][3][3][4] = 1678875;
	tab[8][3][4][3] = 1678875;
	tab[8][3][5][2] = 859584;
	tab[8][3][6][1] = 205128;
	tab[8][3][7][0] = 17094;
	tab[8][3][0][8] = 12210;
	tab[8][3][1][7] = 200244;
	tab[8][3][2][6] = 1128204;
	tab[8][3][3][5] = 2954820;
	tab[8][3][4][4] = 4029300;
	tab[8][3][5][3] = 2954820;
	tab[8][3][6][2] = 1128204;
	tab[8][3][7][1] = 200244;
	tab[8][3][8][0] = 12210;
	tab[8][4][0][1] = 52;
	tab[8][4][1][0] = 52;
	tab[8][4][0][2] = 780;
	tab[8][4][1][1] = 1560;
	tab[8][4][2][0] = 780;
	tab[8][4][0][3] = 5460;
	tab[8][4][1][2] = 17160;
	tab[8][4][2][1] = 17160;
	tab[8][4][3][0] = 5460;
	tab[8][4][0][4] = 23660;
	tab[8][4][1][3] = 105560;
	tab[8][4][2][2] = 163800;
	tab[8][4][3][1] = 105560;
	tab[8][4][4][0] = 23660;
	tab[8][4][0][5] = 70980;
	tab[8][4][1][4] = 425880;
	tab[8][4][2][3] = 928200;
	tab[8][4][3][2] = 928200;
	tab[8][4][4][1] = 425880;
	tab[8][4][5][0] = 70980;
	tab[8][4][0][6] = 156156;
	tab[8][4][1][5] = 1220856;
	tab[8][4][2][4] = 3549000;
	tab[8][4][3][3] = 4968600;
	tab[8][4][4][2] = 3549000;
	tab[8][4][5][1] = 1220856;
	tab[8][4][6][0] = 156156;
	tab[8][4][0][7] = 260260;
	tab[8][4][1][6] = 2602600;
	tab[8][4][2][5] = 9795240;
	tab[8][4][3][4] = 18218200;
	tab[8][4][4][3] = 18218200;
	tab[8][4][5][2] = 9795240;
	tab[8][4][6][1] = 2602600;
	tab[8][4][7][0] = 260260;
	tab[8][4][0][8] = 334620;
	tab[8][4][1][7] = 4238520;
	tab[8][4][2][6] = 20300280;
	tab[8][4][3][5] = 48692280;
	tab[8][4][4][4] = 64591800;
	tab[8][4][5][3] = 48692280;
	tab[8][4][6][2] = 20300280;
	tab[8][4][7][1] = 4238520;
	tab[8][4][8][0] = 334620;
	tab[8][5][0][1] = 67;
	tab[8][5][1][0] = 67;
	tab[8][5][0][2] = 1273;
	tab[8][5][1][1] = 2546;
	tab[8][5][2][0] = 1273;
	tab[8][5][0][3] = 11457;
	tab[8][5][1][2] = 35644;
	tab[8][5][2][1] = 35644;
	tab[8][5][3][0] = 11457;
	tab[8][5][0][4] = 64923;
	tab[8][5][1][3] = 282606;
	tab[8][5][2][2] = 435366;
	tab[8][5][3][1] = 282606;
	tab[8][5][4][0] = 64923;
	tab[8][5][0][5] = 259692;
	tab[8][5][1][4] = 1493229;
	tab[8][5][2][3] = 3192684;
	tab[8][5][3][2] = 3192684;
	tab[8][5][4][1] = 1493229;
	tab[8][5][5][0] = 259692;
	tab[8][5][0][6] = 779076;
	tab[8][5][1][5] = 5713224;
	tab[8][5][2][4] = 16035981;
	tab[8][5][3][3] = 22203666;
	tab[8][5][4][2] = 16035981;
	tab[8][5][5][1] = 5713224;
	tab[8][5][6][0] = 779076;
	tab[8][5][0][7] = 1817844;
	tab[8][5][1][6] = 16620288;
	tab[8][5][2][5] = 59209776;
	tab[8][5][3][4] = 107317719;
	tab[8][5][4][3] = 107317719;
	tab[8][5][5][2] = 59209776;
	tab[8][5][6][1] = 16620288;
	tab[8][5][7][0] = 1817844;
	tab[8][5][0][8] = 3375996;
	tab[8][5][1][7] = 37915032;
	tab[8][5][2][6] = 167761032;
	tab[8][5][3][5] = 384863544;
	tab[8][5][4][4] = 503283096;
	tab[8][5][5][3] = 384863544;
	tab[8][5][6][2] = 167761032;
	tab[8][5][7][1] = 37915032;
	tab[8][5][8][0] = 3375996;
	tab[8][6][0][1] = 82;
	tab[8][6][1][0] = 82;
	tab[8][6][0][2] = 1886;
	tab[8][6][1][1] = 3772;
	tab[8][6][2][0] = 1886;
	tab[8][6][0][3] = 20746;
	tab[8][6][1][2] = 64124;
	tab[8][6][2][1] = 64124;
	tab[8][6][3][0] = 20746;
	tab[8][6][0][4] = 145222;
	tab[8][6][1][3] = 622380;
	tab[8][6][2][2] = 954316;
	tab[8][6][3][1] = 622380;
	tab[8][6][4][0] = 145222;
	tab[8][6][0][5] = 726110;
	tab[8][6][1][4] = 4066216;
	tab[8][6][2][3] = 8588844;
	tab[8][6][3][2] = 8588844;
	tab[8][6][4][1] = 4066216;
	tab[8][6][5][0] = 726110;
	tab[8][6][0][6] = 2759218;
	tab[8][6][1][5] = 19459748;
	tab[8][6][2][4] = 53441696;
	tab[8][6][3][3] = 73482332;
	tab[8][6][4][2] = 53441696;
	tab[8][6][5][1] = 19459748;
	tab[8][6][6][0] = 2759218;
	tab[8][6][0][7] = 8277654;
	tab[8][6][1][6] = 71739668;
	tab[8][6][2][5] = 247167844;
	tab[8][6][3][4] = 440893992;
	tab[8][6][4][3] = 440893992;
	tab[8][6][5][2] = 247167844;
	tab[8][6][6][1] = 71739668;
	tab[8][6][7][0] = 8277654;
	tab[8][6][0][8] = 20102874;
	tab[8][6][1][7] = 210488916;
	tab[8][6][2][6] = 888468196;
	tab[8][6][3][5] = 1984022964;
	tab[8][6][4][4] = 2571881620;
	tab[8][6][5][3] = 1984022964;
	tab[8][6][6][2] = 888468196;
	tab[8][6][7][1] = 210488916;
	tab[8][6][8][0] = 20102874;
	tab[8][7][0][1] = 97;
	tab[8][7][1][0] = 97;
	tab[8][7][0][2] = 2619;
	tab[8][7][1][1] = 5238;
	tab[8][7][2][0] = 2619;
	tab[8][7][0][3] = 34047;
	tab[8][7][1][2] = 104760;
	tab[8][7][2][1] = 104760;
	tab[8][7][3][0] = 34047;
	tab[8][7][0][4] = 283725;
	tab[8][7][1][3] = 1202994;
	tab[8][7][2][2] = 1838538;
	tab[8][7][3][1] = 1202994;
	tab[8][7][4][0] = 283725;
	tab[8][7][0][5] = 1702350;
	tab[8][7][1][4] = 9362925;
	tab[8][7][2][3] = 19611072;
	tab[8][7][3][2] = 19611072;
	tab[8][7][4][1] = 9362925;
	tab[8][7][5][0] = 1702350;
	tab[8][7][0][6] = 7830810;
	tab[8][7][1][5] = 53794260;
	tab[8][7][2][4] = 145550925;
	tab[8][7][3][3] = 199174950;
	tab[8][7][4][2] = 145550925;
	tab[8][7][5][1] = 53794260;
	tab[8][7][6][0] = 7830810;
	tab[8][7][0][7] = 28712970;
	tab[8][7][1][6] = 240144840;
	tab[8][7][2][5] = 808956720;
	tab[8][7][3][4] = 1427420475;
	tab[8][7][4][3] = 1427420475;
	tab[8][7][5][2] = 808956720;
	tab[8][7][6][1] = 240144840;
	tab[8][7][7][0] = 28712970;
	tab[8][7][0][8] = 86138910;
	tab[8][7][1][7] = 861389100;
	tab[8][7][2][6] = 3523864500;
	tab[8][7][3][5] = 7727988060;
	tab[8][7][4][4] = 9958747500;
	tab[8][7][5][3] = 7727988060;
	tab[8][7][6][2] = 3523864500;
	tab[8][7][7][1] = 861389100;
	tab[8][7][8][0] = 86138910;
	tab[8][8][0][1] = 112;
	tab[8][8][1][0] = 112;
	tab[8][8][0][2] = 3472;
	tab[8][8][1][1] = 6944;
	tab[8][8][2][0] = 3472;
	tab[8][8][0][3] = 52080;
	tab[8][8][1][2] = 159712;
	tab[8][8][2][1] = 159712;
	tab[8][8][3][0] = 52080;
	tab[8][8][0][4] = 503440;
	tab[8][8][1][3] = 2117920;
	tab[8][8][2][2] = 3228960;
	tab[8][8][3][1] = 2117920;
	tab[8][8][4][0] = 503440;
	tab[8][8][0][5] = 3524080;
	tab[8][8][1][4] = 19130720;
	tab[8][8][2][3] = 39823840;
	tab[8][8][3][2] = 39823840;
	tab[8][8][4][1] = 19130720;
	tab[8][8][5][0] = 3524080;
	tab[8][8][0][6] = 19030032;
	tab[8][8][1][5] = 128276512;
	tab[8][8][2][4] = 343346080;
	tab[8][8][3][3] = 468199200;
	tab[8][8][4][2] = 343346080;
	tab[8][8][5][1] = 128276512;
	tab[8][8][6][0] = 19030032;
	tab[8][8][0][7] = 82463472;
	tab[8][8][1][6] = 672394464;
	tab[8][8][2][5] = 2228628192;
	tab[8][8][3][4] = 3901660000;
	tab[8][8][4][3] = 3901660000;
	tab[8][8][5][2] = 2228628192;
	tab[8][8][6][1] = 672394464;
	tab[8][8][7][0] = 82463472;
	tab[8][8][0][8] = 294512400;
	tab[8][8][1][7] = 2850880032;
	tab[8][8][2][6] = 11405332512;
	tab[8][8][3][5] = 24689704480;
	tab[8][8][4][4] = 31681479200;
	tab[8][8][5][3] = 24689704480;
	tab[8][8][6][2] = 11405332512;
	tab[8][8][7][1] = 2850880032;
	tab[8][8][8][0] = 294512400;
}

void compute() {
	if(cnt[0] % 2 != parity[0] % 2) {
		ans(0);
		return;
	}
	preproc();
	w = 0;
	par = cnt[0] % 2;
	for(int q = par; q <= kk; q += 2) {
		w += tab[n][m][q][kk - q];
	}
	good = 0;
	f(i, n) {
		f(j, m) {
			if(board[i][j]) {
				if(i > 0 && !board[i - 1][j]) {
					good++;
				}
				if(i < n - 1 && !board[i + 1][j]) {
					good++;
				}
				if(j > 0 && !board[i][j - 1]) {
					good++;
				}
				if(j < m - 1 && !board[i][j + 1]) {
					good++;
				}
			}
		}
	}
	long double goodLD = ((long double)(good));
	long double wLD = ((long double)(w));
	printf("%.15Lf\n", (goodLD / wLD));
}