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Submission #697497

# Submission time Handle Problem Language Result Execution time Memory
697497 2023-02-10T06:55:33 Z hct_2so1 Discharging (NOI20_discharging) C++14
72 / 100
 121 ms 32196 KB 
#include <bits/stdc++.h>

#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define all(v) (v).begin(), (v).end()
#define F first
#define S second
#define __builtin_popcount __builtin_popcountll
#define sz(v) ((int) (v).size())
#define uni(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define pii(a, b) make_pair(a, b)

using namespace std;
typedef long long ll;

///

const int mod = 1e9 + 7;
const int INF = 1e9 + 7;
const ll oo = 1e18 + 7;

const int N = 1e6 + 5;

int n, a[N], nxt[N];
ll dp[N];

struct line
{
    ll a, b;
    line (const ll &_a, const ll &_b)
    {
        a = _a;
        b = _b;
    }
    ll eval(const ll &x)
    {
        return a * x + b;
    }
};

deque <line> st;

bool bad(const line &l1, const line &l2, const line &l3)
{
    return (l3.b - l1.b) * (l1.a - l2.a) < (l2.b - l1.b) * (l1.a - l3.a);
}

void add(const line &x)
{
    while (st.size() >= 2 && bad(st[st.size() - 2], st[st.size() - 1], x)) st.pop_back();
    st.push_back(x);
}

ll query(ll x)
{
    while (st.size() >= 2 && st[0].eval(x) >= st[1].eval(x)) st.pop_front();
    return st[0].eval(x);
}

void Input()
{
    cin >> n;
    for (int i = 1; i <= n; i ++) cin >> a[i];
    nxt[1] = 1;
    for (int i = 2; i <= n; i ++)
        if (a[nxt[i - 1]] < a[i]) nxt[i] = i;
        else nxt[i] = nxt[i - 1];
}

void solve()
{
    add(line(0, 0));
    for (int i = 1; i <= n; i ++)
    {
        dp[i] = query(a[nxt[i]]) + 1LL * n * a[nxt[i]];
        add(line(-i, dp[i]));
    }
    cout << dp[n];
}

int main()
{
    std::ios_base::sync_with_stdio(0); cin.tie(0);
//    freopen("DIAMOND.inp", "r", stdin);
//    freopen("DIAMOND.out", "w", stdout);
    int test = 1;
    //cin >> test;
    while (test--)
    {
        Input();
        solve();
    }
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 0 ms 340 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 276 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 276 KB Output is correct
16 Correct 88 ms 15948 KB Output is correct
17 Correct 95 ms 15864 KB Output is correct
18 Correct 83 ms 15892 KB Output is correct
19 Correct 104 ms 15848 KB Output is correct
20 Correct 96 ms 15912 KB Output is correct
21 Correct 95 ms 15908 KB Output is correct
22 Correct 98 ms 15928 KB Output is correct
23 Correct 98 ms 15944 KB Output is correct
24 Correct 92 ms 15936 KB Output is correct
25 Correct 97 ms 15944 KB Output is correct
26 Correct 103 ms 15828 KB Output is correct
27 Correct 98 ms 15852 KB Output is correct
28 Correct 92 ms 15948 KB Output is correct
29 Correct 94 ms 15872 KB Output is correct
30 Correct 103 ms 15940 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 32100 KB Output is correct
2 Correct 113 ms 32148 KB Output is correct
3 Correct 115 ms 32148 KB Output is correct
4 Correct 119 ms 32112 KB Output is correct
5 Correct 118 ms 32084 KB Output is correct
6 Correct 114 ms 32108 KB Output is correct
7 Correct 114 ms 32192 KB Output is correct
8 Correct 113 ms 32116 KB Output is correct
9 Correct 121 ms 32196 KB Output is correct
10 Correct 115 ms 32108 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 1 ms 276 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 1 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 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 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 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 0 ms 340 KB Output is correct

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 1 ms 276 KB Output is correct
30 Correct 88 ms 15948 KB Output is correct
31 Correct 95 ms 15864 KB Output is correct
32 Correct 83 ms 15892 KB Output is correct
33 Correct 104 ms 15848 KB Output is correct
34 Correct 96 ms 15912 KB Output is correct
35 Correct 95 ms 15908 KB Output is correct
36 Correct 98 ms 15928 KB Output is correct
37 Correct 98 ms 15944 KB Output is correct
38 Correct 92 ms 15936 KB Output is correct
39 Correct 97 ms 15944 KB Output is correct
40 Correct 103 ms 15828 KB Output is correct
41 Correct 98 ms 15852 KB Output is correct
42 Correct 92 ms 15948 KB Output is correct
43 Correct 94 ms 15872 KB Output is correct
44 Correct 103 ms 15940 KB Output is correct
45 Correct 118 ms 32100 KB Output is correct
46 Correct 113 ms 32148 KB Output is correct
47 Correct 115 ms 32148 KB Output is correct
48 Correct 119 ms 32112 KB Output is correct
49 Correct 118 ms 32084 KB Output is correct
50 Correct 114 ms 32108 KB Output is correct
51 Correct 114 ms 32192 KB Output is correct
52 Correct 113 ms 32116 KB Output is correct
53 Correct 121 ms 32196 KB Output is correct
54 Correct 115 ms 32108 KB Output is correct
55 Correct 0 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 0 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 0 ms 340 KB Output is correct
60 Correct 0 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 0 ms 340 KB Output is correct
64 Correct 0 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 340 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 0 ms 340 KB Output is correct
76 Correct 93 ms 15980 KB Output is correct
77 Incorrect 92 ms 15908 KB Output isn't correct
78 Halted 0 ms 0 KB -