180882025-09-29 11:24:27ubormaciJárda-L (40)cpp17Elfogadva 40/401ms556 KiB
#include <iostream>
#include <algorithm> // for sort, mainly
#include <vector>
#include <map>
#include <set>
#include <cmath>
#include <array>
#include <string>
#include <cstdio>
#include <iterator>
#include <unordered_set>
#include <cstdint> // for int64_t, int32_t, etc
#include <queue>
#include <stack>
#include <deque>
#include <numeric> // gcd, lcm
#include <fstream>
#include <bitset> // for bitset
#include <iomanip>
#include <cassert> // for set with custom ordering
#include <type_traits> // for set with custom ordering
#include <utility> // for swap, forward, etc
using namespace std;

#pragma GCC optimize("O2")
// #pragma GCC optimize("O1","O2","O3","Ofast","unroll-loops")
//#pragma GCC target("sse","sse2","sse3","sse4.1","sse4.2","avx","avx2","fma")

template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
void dbg_out() { cout << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cout << ' ' << H; dbg_out(T...); }
#ifdef LOCAL
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

/*
 *
 * notes:
 *
 * int64_t
 * stoi(string s) -> string to int
 * to_string() -> int (or else) to string
 *
 * vector declaration:
 * vector<ll> v(n, 0)
 * vector<vector<ll>> v(n, vector<ll>(n, 0));
 *
 * {if statement} ? {truth value} : {false value}
 *
 * set lower bound/upper bound:
 * 	// . . . m1 . . . d . . . . m2
 *    auto m1_it = b.lower_bound(d);
 *    advance(m1_it, -1);
 *    m1 = *m1_it;
 *	m2 = *b.upper_bound(d);
 *
 * #ifdef LOCAL
 *    freopen("in.txt","r",stdin);
 *    freopen("out.txt","w",stdout);
 * #endif
 *
 * constexpr auto lcm(auto x, auto... xs)
 * {
 *	return ((x = std::lcm(x, xs)), ...);
 * }
 *
 * std::gcd(int a, int b)
 *
 * cout << setprecision(n);
 *
 * set with custom ordering
 * set<ll, decltype(&cmp)> qu(cmp);
 *
 */

typedef int64_t ll;

void solve() {

    ll n;
    cin >> n;

    // ket lepcsos dp:
    // 4 eset a legutolso 2 kockaban:
    // mind a ketto ures, mind a ketto fedett, a fenti ures, a lenti ures

    vector<vector<ll>> dp(n+2, vector<ll>(4, 0));

    dp[0][3] = 1;

    for(ll i = 1; i <= n; i++) {

        // states:
        /*
        
        0
        0 -> 0

        1
        0 -> 1

        0
        1 -> 2

        1
        1 -> 3
        
        */

        // 5 lehetoseg van:
        // egy fuggoleges
        // egy vizszintes fenn
        // egy vizszintes lenn
        // egy harmas, ugy hogy lenn
        // egy harmas, ugy hogy fenn

        // fuggoleges
        if(i >= 1) {
            dp[i][3] += dp[i-1][3];    
        }

        // vizszintes
        if(i >= 2) {

            dp[i][2] += dp[i-1][1];
            dp[i][1] += dp[i-1][2];

            dp[i][3] += dp[i-2][3];
        }

        // harmas
        if(i >= 2) {

            // L
            // L L

            dp[i][2] += dp[i-2][3];

            // L L
            //   L

            dp[i][3] += dp[i-1][2];


            // L L
            // L

            dp[i][1] += dp[i-2][3];


            //   L
            // L L 

            dp[i][3] += dp[i-1][1];

        }

    }

    cout << dp[n][3];

}

int main()
{
    std::ios_base::sync_with_stdio(false);
    //cin.tie(nullptr);
    //cout.tie(nullptr);

    solve();

    return 0;
}
RészfeladatÖsszpontTesztVerdiktIdőMemória
base40/40
1Elfogadva0/01ms316 KiB
2Elfogadva0/01ms316 KiB
3Elfogadva2/21ms320 KiB
4Elfogadva2/21ms316 KiB
5Elfogadva2/21ms544 KiB
6Elfogadva2/21ms316 KiB
7Elfogadva2/21ms316 KiB
8Elfogadva3/31ms316 KiB
9Elfogadva3/31ms416 KiB
10Elfogadva3/31ms316 KiB
11Elfogadva3/31ms316 KiB
12Elfogadva3/31ms316 KiB
13Elfogadva3/31ms316 KiB
14Elfogadva3/31ms316 KiB
15Elfogadva3/31ms420 KiB
16Elfogadva3/31ms316 KiB
17Elfogadva3/31ms556 KiB