oj.uz

Submission #671137

# Submission time Handle Problem Language Result Execution time Memory
671137 2022-12-12T07:23:46 Z vuavisao Feast (NOI19_feast) C++14
100 / 100
 126 ms 10412 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define ll long long
using namespace std;

template<typename Lhs, typename Rhs> inline bool Max_self(Lhs &a, Rhs b) { if(b > a) { a = b; return true; } return false; }
template<typename Lhs, typename Rhs> inline bool Min_self(Lhs &a, Rhs b) { if(b < a) { a = b; return true; } return false; }

const ll N = 3e5 + 10;
const ll INF = 1e18;

ll n, k, a[N];

namespace sub6 {
    bool check() {
        return (n <= 2000);
    }

    ll dp[2010][2010];
    ll res;

    void solve() {
        for(ll gr = 1; gr <= k; ++ gr) {
            for(ll i = 1; i <= n; ++ i) {
                Max_self(dp[i][gr], dp[i - 1][gr] + a[i]);
                Max_self(dp[i][gr], dp[i - 1][gr - 1] + a[i]);
            }
            for(ll i = 1; i <= n; ++ i) Max_self(dp[i][gr], dp[i - 1][gr]);
            Max_self(res, dp[n][gr]);
        }
        cout << res;
    }
}

namespace last_sub {

    ll dp[N], cnt[N];

    bool check(ll lamba) {
        ll best[2] = {0, 0};
        for(ll i = 1; i <= n; ++ i) {
            dp[i] = dp[i - 1];
            cnt[i] = cnt[i - 1];
            if(Max_self(dp[i], best[0] + a[i] - lamba)) {
                cnt[i] = cnt[best[1]] + 1;
            }
            if(Max_self(best[0], dp[i] - a[i])) {
                best[1] = i;
            }
        }
        return (cnt[n] <= k);
    }

    void solve() {
//        cout << check(INF) << '\n';
        for(ll i = 1; i <= n; ++ i) a[i] += a[i - 1];
        ll l = 0, r = INF;
        ll lamba = - 1;
        while(l <= r) {
            ll mid = (l + r) >> 1ll;
            if(check(mid)) {
                lamba = mid;
                r = mid - 1;
            }
            else l = mid + 1;
        }
        assert(lamba != - 1);
        check(lamba);
//        cout << dp[n] << ' ' << cnt[n] << '\n';
        cout << dp[n] + lamba * cnt[n];
    }
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    if (fopen("Feast.inp", "r")) {
        freopen("Feast.inp", "r", stdin);
        freopen("Feast.out", "w", stdout);
    }
    cin >> n >> k;
    for(ll i = 1; i <= n; ++ i) cin >> a[i];
//    if(sub6::check()) {
//        sub6::solve();
//        return 0;
//    }
//    assert(false);
    last_sub::solve();
    return 0;
}

/// Code by vuavisao

Compilation message

feast.cpp: In function 'int32_t main()':
feast.cpp:80:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   80 |         freopen("Feast.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
feast.cpp:81:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   81 |         freopen("Feast.out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 7756 KB Output is correct
2 Correct 65 ms 10236 KB Output is correct
3 Correct 67 ms 10212 KB Output is correct
4 Correct 62 ms 10060 KB Output is correct
5 Correct 62 ms 10048 KB Output is correct
6 Correct 66 ms 9888 KB Output is correct
7 Correct 63 ms 10000 KB Output is correct
8 Correct 61 ms 10112 KB Output is correct
9 Correct 60 ms 9968 KB Output is correct
10 Correct 64 ms 10020 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 7748 KB Output is correct
2 Correct 59 ms 8364 KB Output is correct
3 Correct 60 ms 8352 KB Output is correct
4 Correct 54 ms 8352 KB Output is correct
5 Correct 61 ms 9924 KB Output is correct
6 Correct 56 ms 8344 KB Output is correct
7 Correct 55 ms 8484 KB Output is correct
8 Correct 61 ms 10108 KB Output is correct
9 Correct 61 ms 9976 KB Output is correct
10 Correct 54 ms 8396 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 7824 KB Output is correct
2 Correct 89 ms 10176 KB Output is correct
3 Correct 88 ms 10188 KB Output is correct
4 Correct 97 ms 10176 KB Output is correct
5 Correct 87 ms 10236 KB Output is correct
6 Correct 101 ms 10316 KB Output is correct
7 Correct 89 ms 10372 KB Output is correct
8 Correct 89 ms 10248 KB Output is correct
9 Correct 92 ms 10396 KB Output is correct
10 Correct 89 ms 10324 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 7756 KB Output is correct
2 Correct 65 ms 10236 KB Output is correct
3 Correct 67 ms 10212 KB Output is correct
4 Correct 62 ms 10060 KB Output is correct
5 Correct 62 ms 10048 KB Output is correct
6 Correct 66 ms 9888 KB Output is correct
7 Correct 63 ms 10000 KB Output is correct
8 Correct 61 ms 10112 KB Output is correct
9 Correct 60 ms 9968 KB Output is correct
10 Correct 64 ms 10020 KB Output is correct
11 Correct 60 ms 7748 KB Output is correct
12 Correct 59 ms 8364 KB Output is correct
13 Correct 60 ms 8352 KB Output is correct
14 Correct 54 ms 8352 KB Output is correct
15 Correct 61 ms 9924 KB Output is correct
16 Correct 56 ms 8344 KB Output is correct
17 Correct 55 ms 8484 KB Output is correct
18 Correct 61 ms 10108 KB Output is correct
19 Correct 61 ms 9976 KB Output is correct
20 Correct 54 ms 8396 KB Output is correct
21 Correct 88 ms 7824 KB Output is correct
22 Correct 89 ms 10176 KB Output is correct
23 Correct 88 ms 10188 KB Output is correct
24 Correct 97 ms 10176 KB Output is correct
25 Correct 87 ms 10236 KB Output is correct
26 Correct 101 ms 10316 KB Output is correct
27 Correct 89 ms 10372 KB Output is correct
28 Correct 89 ms 10248 KB Output is correct
29 Correct 92 ms 10396 KB Output is correct
30 Correct 89 ms 10324 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 324 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 336 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 336 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 119 ms 10144 KB Output is correct
62 Correct 117 ms 10412 KB Output is correct
63 Correct 101 ms 10060 KB Output is correct
64 Correct 123 ms 10248 KB Output is correct
65 Correct 126 ms 10260 KB Output is correct
66 Correct 122 ms 10228 KB Output is correct
67 Correct 121 ms 10144 KB Output is correct
68 Correct 90 ms 10336 KB Output is correct
69 Correct 92 ms 10144 KB Output is correct
70 Correct 86 ms 10028 KB Output is correct