oj.uz

Submission #337612

# Submission time Handle Problem Language Result Execution time Memory
337612 2020-12-21T09:10:39 Z ncduy0303 Discharging (NOI20_discharging) C++17
100 / 100
 156 ms 18656 KB 
#include <bits/stdc++.h>

using namespace std;

#define ar array
#define ll long long

const int MAX_N = 1e5 + 1;
const ll MOD = 1e9 + 7;
const ll INF = 1e9;

struct convexhull {
    struct line {
        ll m, c; 
        line(ll m, ll c): m(m), c(c) {}
        ll operator()(ll x) {return m * x + c;}
    };
    deque<line> dq;
 
    bool bad(line a, line b, line c) {
        return 1.0 * (c.c - a.c) / (a.m - c.m) <= 1.0 * (b.c - a.c) /  (a.m - b.m);
    }
 
    void add(line l) {
        while(dq.size() > 1 && bad(dq[(int)dq.size() - 2], dq.back(), l))
            dq.pop_back();
        dq.emplace_back(l);
    }
 
    long query(long x) {
        if(dq.empty()) return 1e18;
        int l = 0, r = (int)dq.size() - 1;
        while(l < r) {
            int mid = (l + r) >> 1;
            if(dq[mid](x) >= dq[mid + 1](x))
                l = mid + 1;
            else r = mid;
        }
        return dq[r](x);
    }
};

void solve() {
    int n; cin >> n;
    vector<int> a(n + 1);
    for (int i = n; i > 0; i--) cin >> a[i];
    vector<int> st;
    for (int i = 1; i <= n; i++) {
        while (st.size() && a[st.back()] <= a[i]) st.pop_back();
        st.push_back(i);
    }
    int m = st.size();
    vector<ll> dp(m + 1);
    convexhull cht;
    for (int i = 1; i <= m; i++) {
        cht.add({a[st[i - 1]], dp[i - 1]});
        dp[i] = cht.query(st[i - 1]);
    }
    cout << dp[m] << "\n";
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int tc = 1;
    // cin >> tc;
    for (int t = 1; t <= tc; t++) {
        // cout << "Case #" << t  << ": ";
        solve();
    }
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 123 ms 14052 KB Output is correct
17 Correct 132 ms 15716 KB Output is correct
18 Correct 109 ms 12132 KB Output is correct
19 Correct 126 ms 15460 KB Output is correct
20 Correct 134 ms 15844 KB Output is correct
21 Correct 137 ms 15460 KB Output is correct
22 Correct 126 ms 14692 KB Output is correct
23 Correct 152 ms 17888 KB Output is correct
24 Correct 156 ms 16584 KB Output is correct
25 Correct 146 ms 16864 KB Output is correct
26 Correct 151 ms 18656 KB Output is correct
27 Correct 116 ms 13644 KB Output is correct
28 Correct 132 ms 15716 KB Output is correct
29 Correct 139 ms 16864 KB Output is correct
30 Correct 149 ms 18144 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 13932 KB Output is correct
2 Correct 122 ms 13932 KB Output is correct
3 Correct 121 ms 13932 KB Output is correct
4 Correct 122 ms 13932 KB Output is correct
5 Correct 129 ms 13932 KB Output is correct
6 Correct 119 ms 13932 KB Output is correct
7 Correct 121 ms 13932 KB Output is correct
8 Correct 120 ms 13908 KB Output is correct
9 Correct 124 ms 13932 KB Output is correct
10 Correct 124 ms 13932 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 376 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 400 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 376 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 123 ms 14052 KB Output is correct
31 Correct 132 ms 15716 KB Output is correct
32 Correct 109 ms 12132 KB Output is correct
33 Correct 126 ms 15460 KB Output is correct
34 Correct 134 ms 15844 KB Output is correct
35 Correct 137 ms 15460 KB Output is correct
36 Correct 126 ms 14692 KB Output is correct
37 Correct 152 ms 17888 KB Output is correct
38 Correct 156 ms 16584 KB Output is correct
39 Correct 146 ms 16864 KB Output is correct
40 Correct 151 ms 18656 KB Output is correct
41 Correct 116 ms 13644 KB Output is correct
42 Correct 132 ms 15716 KB Output is correct
43 Correct 139 ms 16864 KB Output is correct
44 Correct 149 ms 18144 KB Output is correct
45 Correct 124 ms 13932 KB Output is correct
46 Correct 122 ms 13932 KB Output is correct
47 Correct 121 ms 13932 KB Output is correct
48 Correct 122 ms 13932 KB Output is correct
49 Correct 129 ms 13932 KB Output is correct
50 Correct 119 ms 13932 KB Output is correct
51 Correct 121 ms 13932 KB Output is correct
52 Correct 120 ms 13908 KB Output is correct
53 Correct 124 ms 13932 KB Output is correct
54 Correct 124 ms 13932 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 400 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 364 KB Output is correct
68 Correct 1 ms 364 KB Output is correct
69 Correct 1 ms 364 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 1 ms 364 KB Output is correct
75 Correct 1 ms 364 KB Output is correct
76 Correct 109 ms 10364 KB Output is correct
77 Correct 121 ms 10348 KB Output is correct
78 Correct 103 ms 9684 KB Output is correct
79 Correct 104 ms 9964 KB Output is correct
80 Correct 113 ms 10604 KB Output is correct
81 Correct 103 ms 9836 KB Output is correct
82 Correct 104 ms 9836 KB Output is correct
83 Correct 108 ms 10220 KB Output is correct
84 Correct 107 ms 10092 KB Output is correct
85 Correct 107 ms 10364 KB Output is correct
86 Correct 103 ms 9708 KB Output is correct
87 Correct 102 ms 9580 KB Output is correct
88 Correct 104 ms 9940 KB Output is correct
89 Correct 106 ms 9836 KB Output is correct
90 Correct 103 ms 9708 KB Output is correct
91 Correct 101 ms 9660 KB Output is correct
92 Correct 137 ms 16996 KB Output is correct
93 Correct 133 ms 15588 KB Output is correct
94 Correct 101 ms 9196 KB Output is correct
95 Correct 110 ms 10604 KB Output is correct
96 Correct 103 ms 9452 KB Output is correct
97 Correct 107 ms 9964 KB Output is correct
98 Correct 105 ms 9996 KB Output is correct
99 Correct 103 ms 9684 KB Output is correct
100 Correct 107 ms 9708 KB Output is correct