oj.uz

Submission #681212

# Submission time Handle Problem Language Result Execution time Memory
681212 2023-01-12T14:31:29 Z Ninja_Kunai Visiting Singapore (NOI20_visitingsingapore) C++17
23 / 100
 210 ms 262144 KB 
/**
*    Author :  Nguyen Tuan Vu
*    Created : 12.01.2023
**/

#pragma GCC optimize("O2")
#pragma GCC target("avx,avx2,fma")
#include<bits/stdc++.h>
#define MASK(x) ((1ll)<<(x))
#define BIT(x, i) (((x)>>(i))&(1))
#define ALL(v)  (v).begin(), (v).end()
#define REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define FOR(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i)
#define db(val) "["#val" = "<<(val)<<"] "
#define TIME  (1.0 * clock() / CLOCKS_PER_SEC)

template <class X, class Y> bool minimize(X &a, Y b) {
    if (a > b) return a = b, true;
    return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
    if (a < b) return a = b, true;
    return false;
}

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Rand(int l, int r) {return l + rng() % (r - l + 1);}

void file(){
    #define TASK "funtour"
    if(fopen(TASK".inp", "r")) {
        freopen(TASK".inp", "r", stdin);
        freopen(TASK".out", "w", stdout);
    }
}

const int N = 5e3 + 5;
int K, n, m, A, B, cost[N], a[N], b[N], dp[N][N], MAX[N][N], MAX2[N][N];

struct Fenwick_Tree {
    vector <int> bit;
    int n;

    Fenwick_Tree (int n){
        this->n = n;
        bit.resize(n + 7, -1e9 - 7);
    }

    void update(int u, int val) {
        for (; u <= n; u += u & -u) maximize(bit[u], val);
    }

    int get(int u) {
        int ans = -1e9 - 7;
        for (; u > 0; u -= u & -u) maximize(ans, bit[u]);
        return ans;
    }
};

int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    file();
    cin >> K >> n >> m >> A >> B;
    FOR(i, 1, K) cin >> cost[i];
    FOR(i, 1, n) cin >> a[i];
    FOR(i, 1, m) cin >> b[i];

    Fenwick_Tree mybit(m);
    FOR(i, 0, n + 1) FOR(j, 0, m + 1) dp[i][j] = MAX[i][j] = MAX2[i][j] = -1e9 - 7;

    int ans = A + B * m;
    FOR(i, 1, n) {
        if (i > 2) {
            FOR(j, 1, m) mybit.update(j, dp[i - 2][j] - (i - 2) * B - (j + 1) * B);
        }

        FOR(j, 1, m) if (a[i] == b[j]) {
            // chon cap 1
            dp[i][j] = cost[b[j]] + (j > 1 ? A + B * (j - 1) : 0);
            // chon truoc (i - 1, j - 1)
            maximize(dp[i][j], dp[i - 1][j - 1] + cost[b[j]]);
            // chon truoc(i - 1, ...)
            if (i > 1 && j > 2) maximize(dp[i][j], MAX[i - 1][j - 2] + (A + (j - 1 + 1) * B) + cost[b[j]]);
            // chon truoc(..., j - 1)
            if (i > 2 && j > 1) maximize(dp[i][j], MAX2[i - 2][j - 1] + (A + (i - 1) * B) + cost[b[j]]);
            // chon truoc(..., ....)
            if (i > 2 && j > 2) maximize(dp[i][j], mybit.get(j - 2) + (A + (j - 1 + 1) * B) + (A + (i - 1) * B) + cost[b[j]]);

            //if (dp[i][j] + (j < m ? 0 : - (A + (m - (j + 1) + 1) * B)) == 41) cout << i << ' ' << j << '\n';
            //if (i == 5 && j == 3) cout << dp[i][j] + (j < m ? 0 : (A + (m - (j + 1) + 1) * B)) << '\n';
            int cost2 = dp[i][j];
            if (j < m) cost2 += A + (m - (j + 1) + 1) * B;
            maximize(ans, cost2);
        }

        FOR(j, 1, m) {
            MAX[i][j] = MAX[i][j - 1];
            maximize(MAX[i][j], dp[i][j] - B * (j + 1));
            MAX2[i][j] = MAX2[i - 1][j];
            maximize(MAX2[i][j], dp[i][j] - B * i);
        }
    }

    //FOR(i, 1, n) FOR(j, 1, m) cout << dp[i][j] << " \n"[j == m];
    cout << ans;
    cerr << "Time elapsed: " << TIME << " s.\n";
    return 0;
}

/*
==================================================+
INPUT:                                            |
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OUTPUT:                                           |
--------------------------------------------------|

--------------------------------------------------|
==================================================+
*/
/*
⣿⣿⣿⣿⣿⣿⡷⣯⢿⣿⣷⣻⢯⣿⡽⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⣿⣿⣆⠹⣿⣿⢾⣟⣯⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣻⣽⡿⣿⣎⠙⣿⣞⣷⡌⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡄⠹⣿⣿⡆⠻⣿⣟⣯⡿⣽⡿⣿⣿⣿⣿⣽⡷⣯⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣷⣿⣿⣿⡀⠹⣟⣾⣟⣆⠹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡘⣿⣿⡄⠉⢿⣿⣽⡷⣿⣻⣿⣿⣿⣿⡝⣷⣯⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⢿⣾⢿⣿⡄⢄⠘⢿⣞⡿⣧⡈⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣧⠘⣿⣷⠈⣦⠙⢿⣽⣷⣻⣽⣿⣿⣿⣿⣌⢿⣯⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣯⣿⢿⣿⡆⢸⡷⡈⢻⡽⣷⡷⡄⠻⣽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣏⢰⣯⢷⠈⣿⡆⢹⢷⡌⠻⡾⢋⣱⣯⣿⣿⣿⣿⡆⢻⡿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡎⣿⢾⡿⣿⡆⢸⣽⢻⣄⠹⣷⣟⣿⣄⠹⣟⣿⣿⣟⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⢸⣯⣟⣧⠘⣷⠈⡯⠛⢀⡐⢾⣟⣷⣻⣿⣿⣿⡿⡌⢿⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣧⢸⡿⣟⣿⡇⢸⣯⣟⣮⢧⡈⢿⣞⡿⣦⠘⠏⣹⣿⣽⢿⣿⣿⣿⣿⣯⣿⣿⣿⡇⢸⣿⣿⣾⡆⠹⢀⣠⣾⣟⣷⡈⢿⣞⣯⢿⣿⣿⣿⢷⠘⣯⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡈⣿⢿⣽⡇⠘⠛⠛⠛⠓⠓⠈⠛⠛⠟⠇⢀⢿⣻⣿⣯⢿⣿⣿⣿⣷⢿⣿⣿⠁⣾⣿⣿⣿⣧⡄⠇⣹⣿⣾⣯⣿⡄⠻⣽⣯⢿⣻⣿⣿⡇⢹⣾⣿
⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⡽⡇⢸⣿⣿⣿⣿⣿⣞⣆⠰⣶⣶⡄⢀⢻⡿⣯⣿⡽⣿⣿⣿⢯⣟⡿⢀⣿⣿⣿⣿⣿⣧⠐⣸⣿⣿⣷⣿⣿⣆⠹⣯⣿⣻⣿⣿⣿⢀⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⠘⣯⡿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣧⡈⢿⣳⠘⡄⠻⣿⢾⣽⣟⡿⣿⢯⣿⡇⢸⣿⣿⣿⣿⣿⣿⡀⢾⣿⣿⣿⣿⣿⣿⣆⠹⣾⣷⣻⣿⡿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠻⡇⢹⣆⠹⣟⣾⣽⣻⣟⣿⣽⠁⣾⣿⣿⣿⣿⣿⣿⣇⣿⣿⠿⠛⠛⠉⠙⠋⢀⠁⢘⣯⣿⣿⣧⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⡃⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⠌⣿⣆⠘⣿⣞⡿⣞⡿⡞⢠⣿⣿⣿⣿⣿⡿⠛⠉⠁⢀⣀⣠⣤⣤⣶⣶⣶⡆⢻⣽⣞⡿⣷⠈⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠘⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⢿⣄⢻⣿⣧⠘⢯⣟⡿⣽⠁⣾⣿⣿⣿⣿⣿⡃⢀⢀⠘⠛⠿⢿⣻⣟⣯⣽⣻⣵⡀⢿⣯⣟⣿⢀⣿
⣿⣿⣿⣟⣿⣿⣿⣿⣶⣶⡆⢀⣿⣾⣿⣾⣷⣿⣶⠿⠚⠉⢀⢀⣤⣿⣷⣿⣿⣷⡈⢿⣻⢃⣼⣿⣿⣿⣿⣻⣿⣿⣿⡶⣦⣤⣄⣀⡀⠉⠛⠛⠷⣯⣳⠈⣾⡽⣾⢀⣿
⣿⢿⣿⣿⣻⣿⣿⣿⣿⣿⡿⠐⣿⣿⣿⣿⠿⠋⠁⢀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣌⣥⣾⡿⣿⣿⣷⣿⣿⢿⣷⣿⣿⣟⣾⣽⣳⢯⣟⣶⣦⣤⡾⣟⣦⠘⣿⢾⡁⢺
⣿⣻⣿⣿⡷⣿⣿⣿⣿⣿⡗⣦⠸⡿⠋⠁⢀⢀⣠⣴⢿⣿⣽⣻⢽⣾⣟⣷⣿⣟⣿⣿⣿⣳⠿⣵⣧⣼⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣽⣳⣯⣿⣿⣿⣽⢀⢷⣻⠄⠘
⣿⢷⣻⣿⣿⣷⣻⣿⣿⣿⡷⠛⣁⢀⣀⣤⣶⣿⣛⡿⣿⣮⣽⡻⣿⣮⣽⣻⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢀⢸⣿⢀⡆
⠸⣟⣯⣿⣿⣷⢿⣽⣿⣿⣷⣿⣷⣆⠹⣿⣶⣯⠿⣿⣶⣟⣻⢿⣷⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣯⣟⢀⡇
⣇⠹⣟⣾⣻⣿⣿⢾⡽⣿⣿⣿⣿⣿⣆⢹⣶⣿⣻⣷⣯⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡿⡇⢸⡇
⣿⣆⠹⣷⡻⣽⣿⣯⢿⣽⣻⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⠇⣼⡇
⡙⠾⣆⠹⣿⣦⠛⣿⢯⣷⢿⡽⣿⣿⣿⣿⣆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠎⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣾⣣⡿⡇
⣿⣷⡌⢦⠙⣿⣿⣌⠻⣽⢯⣿⣽⣻⣿⣿⣿⣧⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⢣⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢀⢀⢿⣞⣷⢿⡇
⣿⣽⣆⠹⣧⠘⣿⣿⡷⣌⠙⢷⣯⡷⣟⣿⣿⣿⣷⡀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣈⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⡧⢀⠸⣿⡽⣿⢀
⢻⣽⣿⡄⢻⣷⡈⢿⣿⣿⢧⢀⠙⢿⣻⡾⣽⣻⣿⣿⣄⠌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣰⣾⣟⡿⢀⡄⢿⣟⣿⢀
⡄⢿⣿⣷⢀⠹⣟⣆⠻⣿⣿⣆⢀⣀⠉⠻⣿⡽⣯⣿⣿⣷⣈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣠⠘⣯⣷⣿⡟⢀⢆⠸⣿⡟⢸
⣷⡈⢿⣿⣇⢱⡘⢿⣷⣬⣙⠿⣧⠘⣆⢀⠈⠻⣷⣟⣾⢿⣿⣆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⡞⢡⣿⢀⣿⣿⣿⠇⡄⢸⡄⢻⡇⣼
⣿⣷⡈⢿⣿⡆⢣⡀⠙⢾⣟⣿⣿⣷⡈⠂⠘⣦⡈⠿⣯⣿⢾⣿⣆⠙⠻⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣠⣾⡟⢠⣿⣿⢀⣿⣿⡟⢠⣿⢈⣧⠘⢠⣿
⣿⣿⣿⣄⠻⣿⡄⢳⡄⢆⡙⠾⣽⣿⣿⣆⡀⢹⡷⣄⠙⢿⣿⡾⣿⣆⢀⡀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⣀⣠⣴⡿⣯⠏⣠⣿⣿⡏⢸⣿⡿⢁⣿⣿⢀⣿⠆⢸⣿
⣿⣿⣿⣿⣦⡙⣿⣆⢻⡌⢿⣶⢤⣉⣙⣿⣷⡀⠙⠽⠷⠄⠹⣿⣟⣿⣆⢙⣋⣤⣤⣤⣄⣀⢀⢀⢀⢀⣾⣿⣟⡷⣯⡿⢃⣼⣿⣿⣿⠇⣼⡟⣡⣿⣿⣿⢀⡿⢠⠈⣿
⣿⣿⣿⣿⣿⣷⣮⣿⣿⣿⡌⠁⢤⣤⣤⣤⣬⣭⣴⣶⣶⣶⣆⠈⢻⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣷⣶⣤⣌⣉⡘⠛⠻⠶⣿⣿⣿⣿⡟⣰⣫⣴⣿⣿⣿⣿⠄⣷⣿⣿⣿
*/

Compilation message

VisitingSingapore.cpp: In function 'void file()':
VisitingSingapore.cpp:35:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   35 |         freopen(TASK".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
VisitingSingapore.cpp:36:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   36 |         freopen(TASK".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3156 KB Output is correct
2 Correct 29 ms 21708 KB Output is correct
3 Correct 2 ms 3284 KB Output is correct
4 Correct 5 ms 11092 KB Output is correct
5 Correct 2 ms 4816 KB Output is correct
6 Correct 10 ms 12372 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 20 ms 15368 KB Output is correct
10 Correct 35 ms 24148 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 8 ms 6724 KB Output is correct
4 Correct 1 ms 1364 KB Output is correct
5 Correct 3 ms 3028 KB Output is correct
6 Correct 18 ms 13292 KB Output is correct
7 Correct 18 ms 12116 KB Output is correct
8 Correct 25 ms 18348 KB Output is correct
9 Correct 4 ms 3924 KB Output is correct
10 Correct 41 ms 24148 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 60756 KB Output is correct
2 Correct 31 ms 42324 KB Output is correct
3 Correct 210 ms 142684 KB Output is correct
4 Runtime error 112 ms 262144 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 60756 KB Output is correct
2 Correct 31 ms 42324 KB Output is correct
3 Correct 210 ms 142684 KB Output is correct
4 Runtime error 112 ms 262144 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #5
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 60756 KB Output is correct
2 Correct 31 ms 42324 KB Output is correct
3 Correct 210 ms 142684 KB Output is correct
4 Runtime error 112 ms 262144 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 1364 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 720 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1620 KB Output is correct
11 Correct 1 ms 1620 KB Output is correct
12 Correct 2 ms 1616 KB Output is correct
13 Correct 1 ms 1620 KB Output is correct
14 Correct 1 ms 1620 KB Output is correct
15 Correct 1 ms 1568 KB Output is correct

Subtask #7
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3156 KB Output is correct
2 Correct 29 ms 21708 KB Output is correct
3 Correct 2 ms 3284 KB Output is correct
4 Correct 5 ms 11092 KB Output is correct
5 Correct 2 ms 4816 KB Output is correct
6 Correct 10 ms 12372 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 4 ms 6612 KB Output is correct
9 Correct 20 ms 15368 KB Output is correct
10 Correct 35 ms 24148 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 8 ms 6724 KB Output is correct
14 Correct 1 ms 1364 KB Output is correct
15 Correct 3 ms 3028 KB Output is correct
16 Correct 18 ms 13292 KB Output is correct
17 Correct 18 ms 12116 KB Output is correct
18 Correct 25 ms 18348 KB Output is correct
19 Correct 4 ms 3924 KB Output is correct
20 Correct 41 ms 24148 KB Output is correct
21 Correct 63 ms 60756 KB Output is correct
22 Correct 31 ms 42324 KB Output is correct
23 Correct 210 ms 142684 KB Output is correct
24 Runtime error 112 ms 262144 KB Execution killed with signal 9
25 Halted 0 ms 0 KB -