Submission #59155

#TimeUsernameProblemLanguageResultExecution timeMemory
59155BenqPaths (BOI18_paths)C++14
100 / 100
1639 ms167776 KiB

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)

#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 300001;

int N,M,K, col[MX];
vi adj[MX];
ll dp[MX][32];

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> N >> M >> K;
    FOR(i,1,N+1) {
        cin >> col[i];
        col[i] --;
        dp[i][1<<col[i]] = 1;
    }
    F0R(i,M) {
        int a,b; cin >> a >> b;
        adj[a].pb(b), adj[b].pb(a);
    }
    F0R(i,1<<K) FOR(j,1,N+1) 
        for (int k: adj[j]) if (!(i&(1<<col[k]))) 
            dp[k][i^(1<<col[k])] += dp[j][i];
    
    ll ans = 0;
    FOR(i,1,N+1) F0R(j,1<<K) if (__builtin_popcount(j) > 1) ans += dp[i][j];
    cout << ans;
}

/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( ) 
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
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