This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define ll long long int
#define pb push_back
#define mp make_pair
#define FOR(i,n) for(i=0;i<(n);++i)
#define FORe(i,n) for(i=1;i<=(n);++i)
#define FORr(i,a,b) for(i=(a);i<(b);++i)
#define FORrev(i,n) for(i=(n);i>=0;--i)
#define ii pair<ll,ll>
#define vi vector<ll>
#define vii vector<ii>
#define ff first
#define ss second
#define cd complex<double>
#define vcd vector<cd>
#define ldd long double
#define all(x) (x).begin(),(x).end()
using namespace std;
const short int __PRECISION = 10;
const ll MOD = 1e9+7;
const ll INF = 1e17 + 1101;
const ll LOGN = 17;
const ll MAXN = 2e5+5;
const ll ROOTN = 320;
const ldd PI = acos(-1);
const ldd EPS = 1e-7;
int main()
{
/*
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
*/
int N,M,K;
int i,j,k,mask;
ll ans = 0;
cin>>N>>M>>K;
vi g[N+1];
ll dp[N+1][(1<<K)],col[N+1];
FORe(i,N)
{
cin>>j;
col[i] = j-1;
}
FOR(i,M)
{
cin>>j>>k;
if(col[j] != col[k])
{
g[j].pb(k);
g[k].pb(j);
}
}
FOR(i,N+1)
FOR(mask,(1<<K))
dp[i][mask] = 0;
FORe(i,N)
dp[i][(1<<col[i])] = 1;
FOR(mask,(1<<K))
FORe(i,N)
if(mask&(1<<col[i]))
for(ll b : g[i])
if(((1<<col[b])&(mask)) == 0)
dp[b][(mask | (1<<col[b]))] += dp[i][mask];
FORe(i,N)
FOR(mask,(1<<K))
{
if(__builtin_popcount(mask) > 1)
ans += dp[i][mask];
//cout<<"dp["<<i<<"]["<<(bitset<5>(mask).to_string())<<"] = "<<dp[i][mask]<<endl;
}
cout<<ans;
return 0;
}
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