oj.uz

Submission #681209

# Submission time Handle Problem Language Result Execution time Memory
681209 2023-01-12T14:26:26 Z Ninja_Kunai Visiting Singapore (NOI20_visitingsingapore) C++14
23 / 100
 214 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 3 ms 3156 KB Output is correct
2 Correct 31 ms 21716 KB Output is correct
3 Correct 2 ms 3280 KB Output is correct
4 Correct 5 ms 11092 KB Output is correct
5 Correct 2 ms 4820 KB Output is correct
6 Correct 10 ms 12368 KB Output is correct
7 Correct 2 ms 2728 KB Output is correct
8 Correct 5 ms 6612 KB Output is correct
9 Correct 19 ms 15316 KB Output is correct
10 Correct 36 ms 24240 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 6612 KB Output is correct
4 Correct 1 ms 1356 KB Output is correct
5 Correct 3 ms 3020 KB Output is correct
6 Correct 18 ms 13268 KB Output is correct
7 Correct 19 ms 12116 KB Output is correct
8 Correct 26 ms 18332 KB Output is correct
9 Correct 3 ms 3924 KB Output is correct
10 Correct 37 ms 24140 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 60848 KB Output is correct
2 Correct 33 ms 42348 KB Output is correct
3 Correct 214 ms 142676 KB Output is correct
4 Runtime error 132 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 68 ms 60848 KB Output is correct
2 Correct 33 ms 42348 KB Output is correct
3 Correct 214 ms 142676 KB Output is correct
4 Runtime error 132 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 68 ms 60848 KB Output is correct
2 Correct 33 ms 42348 KB Output is correct
3 Correct 214 ms 142676 KB Output is correct
4 Runtime error 132 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 464 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 724 KB Output is correct
9 Correct 1 ms 1108 KB Output is correct
10 Correct 1 ms 1620 KB Output is correct
11 Correct 1 ms 1620 KB Output is correct
12 Correct 1 ms 1620 KB Output is correct
13 Correct 1 ms 1620 KB Output is correct
14 Correct 1 ms 1616 KB Output is correct
15 Correct 1 ms 1620 KB Output is correct

Subtask #7
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3156 KB Output is correct
2 Correct 31 ms 21716 KB Output is correct
3 Correct 2 ms 3280 KB Output is correct
4 Correct 5 ms 11092 KB Output is correct
5 Correct 2 ms 4820 KB Output is correct
6 Correct 10 ms 12368 KB Output is correct
7 Correct 2 ms 2728 KB Output is correct
8 Correct 5 ms 6612 KB Output is correct
9 Correct 19 ms 15316 KB Output is correct
10 Correct 36 ms 24240 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 6612 KB Output is correct
14 Correct 1 ms 1356 KB Output is correct
15 Correct 3 ms 3020 KB Output is correct
16 Correct 18 ms 13268 KB Output is correct
17 Correct 19 ms 12116 KB Output is correct
18 Correct 26 ms 18332 KB Output is correct
19 Correct 3 ms 3924 KB Output is correct
20 Correct 37 ms 24140 KB Output is correct
21 Correct 68 ms 60848 KB Output is correct
22 Correct 33 ms 42348 KB Output is correct
23 Correct 214 ms 142676 KB Output is correct
24 Runtime error 132 ms 262144 KB Execution killed with signal 9
25 Halted 0 ms 0 KB -