This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// By ObeliX
#include <bits/stdc++.h>
#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#include <unordered_map>
#include <cstddef>
#include <cassert>
#include <bitset>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <queue>
#include <map>
#include <set>
using namespace std;
const long long N = 3e5 + 5;
const long long MOD = 1e9+7;
const long long INF = 1e18;
string al = "abcdefghijklmnopqrstuvwxyz";
long long n , m , k;
long long col[N];
long long x[N] , y[N];
long long dp[N][103];
int main(){
//freopen( "cinema.in" , "r" , stdin );
//freopen( "cinema.out" , "w" , stdout );
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m >> k;
for ( int i = 1 ; i <= n ; i++ ) {
cin >> col[i];
dp[i][(1 << ( col[i] - 1 ))] = 1;
}
for ( int i = 1 ; i <= m ; i++ ) {
cin >> x[i] >> y[i];
}
for ( int mask = 1 ; mask <= ( 1 << k ) - 1 ; mask++ ) {
for ( int i = 1 ; i <= m ; i++ ) {
if ( ( mask & ( 1 << ( col[x[i]] - 1 ) ) ) == 1 << ( col[x[i]] - 1 ) && ( mask & ( 1 << ( col[y[i]] - 1 ) ) ) == 0 ) {
dp[y[i]][mask|1<<(col[y[i]] - 1)] += dp[x[i]][mask];
}
if ( ( mask & ( 1 << ( col[x[i]] - 1 ) ) ) == 0 && ( mask & ( 1 << ( col[y[i]] - 1 ) ) ) == 1 << ( col[y[i]] - 1 ) ) {
dp[x[i]][mask|1<<(col[x[i]] - 1)] += dp[y[i]][mask];
}
}
}
long long ans = 0;
for ( int mask = 1 ; mask <= ( 1 << k ) - 1 ; mask++ ) {
for ( int i = 1 ; i <= n ; i++ ) {
ans += dp[i][mask];
}
}
cout << ans - n;
}
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