Submission #1020076

# Submission time Handle Problem Language Result Execution time Memory
1020076 2024-07-11T13:42:51 Z Minbaev Beautiful row (IZhO12_beauty) C++17
100 / 100
705 ms 164588 KB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp> 
 
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("Ofast,unroll-loops")
 
using namespace std;
using namespace __gnu_pbds;
 
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define f first
#define s second
#define int long long
#define pii pair<int,int>
 
template<class T>bool umax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T>bool umin(T &a,T b){if(b<a){a=b;return true;}return false;}
 
template<class T>
using Tree = tree<T, null_type, less<T>, rb_tree_tag,
    tree_order_statistics_node_update>;
 
const int inf = 1e17 + 7;
const int mod = 1e9 + 7;
const int N = 3e5 + 5;

int binpow(int a, int b){
	if(b == 0)return 1;
	if(b % 2 == 0){
		int c = binpow(a,b/2);
		return (c*c);
	}
	return (binpow(a,b-1)*a);
}

int divi(int a, int b){
	return (a*(binpow(b,mod-2)))%mod;
}

int n,m,k;

void solve(){
	
	cin >> n;
	vector<int>a(n);
	for(auto &to:a)cin >> to;
	
	vector<int>b(n);
	for(int i = 0;i<n;i++){
		int cnt = 0;
		for(int j = 30;j>=0;j--){
			if((a[i] / binpow(3,j)) % 3 == 1)cnt += 1;
		}
		b[i] = cnt;
	}
	
	for(auto &to:a){
		int cnt = 0;
		for(int i = 32;i>=0;i--){
			if(to >> i & 1)cnt += 1;
		}
		to = cnt;
	}
	
	//~ for(auto to:a)cout << to << " ";
	//~ cout << "\n";
	//~ for(auto to:b)cout << to << " ";
	//~ cout << "\n\n";
	
	int dp[(1<<n)][n]{};
	for(int i = 0;i<n;i++){
		dp[(1<<i)][i] = 1;
	}
	
	for(int mask = 1;mask<(1<<n);mask++){
		
		for(int i = 0;i<n;i++){
			if(!(mask >> i & 1))continue;
			for(int j = 0;j<n;j++){
				if(mask >> j & 1)continue;
				if(a[i] != a[j] && b[i] != b[j])continue;
				dp[(mask|(1<<j))][j] += dp[mask][i];
			}
		}
	}
	
	int ans = 0;
	for(int i = 0;i<n;i++){
		ans += dp[(1<<n)-1][i];
	}
	
	cout << ans << "\n";
	
	//~ for(int mask = 1;mask<(1<<n);mask++){
		//~ for(int i = 0;i<n;i++){
			//~ cout << (mask >> i & 1);
		//~ }
		//~ cout << "\n";
		//~ for(int i = 0;i<n;i++){
			//~ cout << dp[mask][i] << " ";
		//~ }
		//~ cout << "\n";
	//~ }
	
	
}
 
 signed main()
{
//	freopen("seq.in", "r", stdin);
//  freopen("seq.out", "w", stdout);

	ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
	int tt=1;//cin>>tt;
	while(tt--)solve();
 
}
 
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 456 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 7 ms 2140 KB Output is correct
12 Correct 6 ms 2392 KB Output is correct
13 Correct 29 ms 8536 KB Output is correct
14 Correct 137 ms 37212 KB Output is correct
15 Correct 136 ms 37212 KB Output is correct
16 Correct 137 ms 37208 KB Output is correct
17 Correct 148 ms 37224 KB Output is correct
18 Correct 138 ms 37208 KB Output is correct
19 Correct 705 ms 164432 KB Output is correct
20 Correct 617 ms 164588 KB Output is correct