Submission #888154

# Submission time Handle Problem Language Result Execution time Memory
888154 2023-12-16T08:45:44 Z Asamai Feast (NOI19_feast) C++17
63 / 100
1000 ms 1628 KB
#include <bits/stdc++.h>

using namespace std;

template<class A, class B> bool maximize(A& x, B y) {if (x < y) return x = y, true; else return false;}
template<class A, class B> bool minimize(A& x, B y) {if (x > y) return x = y, true; else return false;}

#define     all(a)                a.begin(), a.end()
#define     pb                    push_back
#define     pf                    push_front
#define     fi                    first
#define     se                    second
// #define     int                   long long

typedef     long long             ll;
typedef     unsigned long long    ull;
typedef     double                db;
typedef     long double           ld;
typedef     pair<db, db>          pdb;
typedef     pair<ld, ld>          pld;
typedef     pair<int, int>        pii;
typedef     pair<ll, ll>          pll;
typedef     pair<ll, int>         plli;
typedef     pair<int, ll>         pill;

const int MAX_N = 3e5 + 5;
const db inf = 3e14;
const db eps = 1e-3;

int n, k;
int a[MAX_N];
pair<db, int> dp[2][2];
bool curr, nxt;

int check(db lamda) {
    curr = 0, nxt = 1;
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            dp[i][j] = {-inf, -inf};
        }
    }
    dp[curr][0] = {0, 0};
    for (int i = 0; i < n; i++, swap(curr, nxt)) {
        // 0
        maximize(dp[nxt][0], dp[curr][0]);
        maximize(dp[nxt][1], pair<db, int>(dp[curr][0].fi - lamda + (db) a[i + 1], dp[curr][0].se + 1));

        // 1
        maximize(dp[nxt][1], pair<db, int>(dp[curr][1].fi + (db) a[i + 1], dp[curr][1].se));
        maximize(dp[nxt][0], dp[curr][1]);

        for (int j = 0; j <= 1; j++) {
            dp[curr][j] = {-inf, -inf};
        }
    }
    return max(dp[curr][1], dp[curr][0]).se;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    if (fopen("FEAS.inp", "r")) {
        freopen("FEAS.inp", "r", stdin);
        freopen("FEAS.out", "w", stdout);
    }

    cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }

    db low = 0, high = inf;
    while (low + eps < high) {
        db mid = (low + high) / 2;
        if (check(mid) >= k) {
            low = mid;
        }
        else {
            high = mid;
        }
    }

    db ans = low;
    check(ans);
    cout << (ll) round(max(dp[curr][0], dp[curr][1]).fi + ans * k);

    return 0;
}

/*


Saturday, 16 December 2023
14:53:03
*/

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:64:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   64 |         freopen("FEAS.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
feast.cpp:65:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   65 |         freopen("FEAS.out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 141 ms 1572 KB Output is correct
2 Correct 112 ms 1596 KB Output is correct
3 Correct 113 ms 1624 KB Output is correct
4 Correct 112 ms 1600 KB Output is correct
5 Correct 114 ms 1372 KB Output is correct
6 Correct 112 ms 1576 KB Output is correct
7 Correct 112 ms 1576 KB Output is correct
8 Correct 118 ms 1596 KB Output is correct
9 Correct 111 ms 1576 KB Output is correct
10 Correct 112 ms 1368 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 106 ms 1584 KB Output is correct
2 Correct 111 ms 1624 KB Output is correct
3 Correct 111 ms 1576 KB Output is correct
4 Correct 105 ms 1624 KB Output is correct
5 Execution timed out 1027 ms 1368 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 158 ms 1368 KB Output is correct
2 Correct 165 ms 1624 KB Output is correct
3 Correct 157 ms 1600 KB Output is correct
4 Correct 157 ms 1584 KB Output is correct
5 Correct 162 ms 1616 KB Output is correct
6 Correct 159 ms 1600 KB Output is correct
7 Correct 162 ms 1372 KB Output is correct
8 Correct 161 ms 1600 KB Output is correct
9 Correct 159 ms 1628 KB Output is correct
10 Correct 159 ms 1600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 141 ms 1572 KB Output is correct
2 Correct 112 ms 1596 KB Output is correct
3 Correct 113 ms 1624 KB Output is correct
4 Correct 112 ms 1600 KB Output is correct
5 Correct 114 ms 1372 KB Output is correct
6 Correct 112 ms 1576 KB Output is correct
7 Correct 112 ms 1576 KB Output is correct
8 Correct 118 ms 1596 KB Output is correct
9 Correct 111 ms 1576 KB Output is correct
10 Correct 112 ms 1368 KB Output is correct
11 Correct 106 ms 1584 KB Output is correct
12 Correct 111 ms 1624 KB Output is correct
13 Correct 111 ms 1576 KB Output is correct
14 Correct 105 ms 1624 KB Output is correct
15 Execution timed out 1027 ms 1368 KB Time limit exceeded
16 Halted 0 ms 0 KB -