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답안 #529177

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
529177 2022-02-22T10:58:54 Z vuavisao Discharging (NOI20_discharging) C++17
100 / 100
 134 ms 22464 KB 
#include<bits/stdc++.h>
#define ll long long
#define ld long double
#define fi first
#define se second
#define pb push_back
#define all(c) c.begin(), c.end()
#define pii pair<int, int>
#define pll pair<long long, long long>
using namespace std;

const int N = 1e6 + 10;

struct line
{
    ll a, b;

    line() {};
    line(ll a, ll b) : a(a), b(b) {};
};

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

bool bad(line A, line B, line C)
{
    return (ld) (C.b - A.b) / (A.a - C.a) < (ld) (B.b - A.b) / (A.a - B.a);
}

void addLine(vector<line> &memo, line cur)
{
    int k = memo.size();
    while(k >= 2 && bad(memo[k - 2], memo[k - 1], cur))
    {
        memo.pop_back();
        k--;
    }
    memo.pb(cur);
}

ll Fn(line A, ll x)
{
    return A.a * x + A.b;
}

ll Query(vector<line> &memo, ll x)
{
    int l = 0, r = memo.size() - 1;
    if(r == - 1) return 0ll;

    while(l < r)
    {
        int mid = l + r >> 1;
        if(Fn(memo[mid], x) < Fn(memo[mid + 1], x)) r = mid;
        else l = mid + 1;
    }
    return Fn(memo[l], x);
}

vector<line> memo;

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    //freopen("DISCHARG.inp", "r", stdin);
    //freopen("DISCHARG.out", "w", stdout);
    cin >> n;
    for(int i = 1; i <= n; i++) cin >> a[i];
    reverse(a + 1, a + 1 + n);
    vector<int> pos;
    for(int i = 1; i <= n; i++)
    {
        while(!pos.empty() && a[pos.back()] <= a[i]) pos.pop_back();
        pos.pb(i);
    }
    for(int i = 1; i <= pos.size(); i++)
    {
        addLine(memo, line(a[pos[i - 1]], dp[i - 1]));
        dp[i] = Query(memo, pos[i - 1]);
//        cout << dp[i] << '\n';
    }
    cout << dp[pos.size()];
    return 0;
}

Compilation message

Discharging.cpp: In function 'long long int Query(std::vector<line>&, long long int)':
Discharging.cpp:53:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   53 |         int mid = l + r >> 1;
      |                   ~~^~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:78:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |     for(int i = 1; i <= pos.size(); i++)
      |                    ~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct

Subtask #2
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct

Subtask #3
25.0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 95 ms 17984 KB Output is correct
17 Correct 101 ms 19316 KB Output is correct
18 Correct 79 ms 15944 KB Output is correct
19 Correct 107 ms 19244 KB Output is correct
20 Correct 105 ms 19628 KB Output is correct
21 Correct 100 ms 19276 KB Output is correct
22 Correct 96 ms 18432 KB Output is correct
23 Correct 134 ms 21684 KB Output is correct
24 Correct 102 ms 20388 KB Output is correct
25 Correct 112 ms 20700 KB Output is correct
26 Correct 117 ms 22464 KB Output is correct
27 Correct 87 ms 17328 KB Output is correct
28 Correct 98 ms 19704 KB Output is correct
29 Correct 106 ms 20704 KB Output is correct
30 Correct 114 ms 21872 KB Output is correct

Subtask #4
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 107 ms 17964 KB Output is correct
2 Correct 98 ms 17784 KB Output is correct
3 Correct 97 ms 17720 KB Output is correct
4 Correct 111 ms 17792 KB Output is correct
5 Correct 95 ms 17740 KB Output is correct
6 Correct 99 ms 17732 KB Output is correct
7 Correct 109 ms 17792 KB Output is correct
8 Correct 99 ms 17784 KB Output is correct
9 Correct 101 ms 17772 KB Output is correct
10 Correct 116 ms 17708 KB Output is correct

Subtask #5
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 324 KB Output is correct
31 Correct 1 ms 324 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 372 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 324 KB Output is correct
37 Correct 1 ms 316 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 320 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 324 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 316 KB Output is correct
47 Correct 1 ms 324 KB Output is correct
48 Correct 1 ms 328 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 0 ms 332 KB Output is correct

Subtask #6
28.0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 95 ms 17984 KB Output is correct
31 Correct 101 ms 19316 KB Output is correct
32 Correct 79 ms 15944 KB Output is correct
33 Correct 107 ms 19244 KB Output is correct
34 Correct 105 ms 19628 KB Output is correct
35 Correct 100 ms 19276 KB Output is correct
36 Correct 96 ms 18432 KB Output is correct
37 Correct 134 ms 21684 KB Output is correct
38 Correct 102 ms 20388 KB Output is correct
39 Correct 112 ms 20700 KB Output is correct
40 Correct 117 ms 22464 KB Output is correct
41 Correct 87 ms 17328 KB Output is correct
42 Correct 98 ms 19704 KB Output is correct
43 Correct 106 ms 20704 KB Output is correct
44 Correct 114 ms 21872 KB Output is correct
45 Correct 107 ms 17964 KB Output is correct
46 Correct 98 ms 17784 KB Output is correct
47 Correct 97 ms 17720 KB Output is correct
48 Correct 111 ms 17792 KB Output is correct
49 Correct 95 ms 17740 KB Output is correct
50 Correct 99 ms 17732 KB Output is correct
51 Correct 109 ms 17792 KB Output is correct
52 Correct 99 ms 17784 KB Output is correct
53 Correct 101 ms 17772 KB Output is correct
54 Correct 116 ms 17708 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 324 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 1 ms 372 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 1 ms 324 KB Output is correct
62 Correct 1 ms 316 KB Output is correct
63 Correct 1 ms 332 KB Output is correct
64 Correct 1 ms 320 KB Output is correct
65 Correct 1 ms 332 KB Output is correct
66 Correct 1 ms 324 KB Output is correct
67 Correct 1 ms 332 KB Output is correct
68 Correct 1 ms 332 KB Output is correct
69 Correct 1 ms 332 KB Output is correct
70 Correct 1 ms 332 KB Output is correct
71 Correct 1 ms 316 KB Output is correct
72 Correct 1 ms 324 KB Output is correct
73 Correct 1 ms 328 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 0 ms 332 KB Output is correct
76 Correct 91 ms 14152 KB Output is correct
77 Correct 99 ms 14068 KB Output is correct
78 Correct 87 ms 13580 KB Output is correct
79 Correct 105 ms 13708 KB Output is correct
80 Correct 123 ms 14472 KB Output is correct
81 Correct 112 ms 13596 KB Output is correct
82 Correct 99 ms 13636 KB Output is correct
83 Correct 121 ms 14024 KB Output is correct
84 Correct 86 ms 13848 KB Output is correct
85 Correct 105 ms 14216 KB Output is correct
86 Correct 110 ms 13508 KB Output is correct
87 Correct 91 ms 13424 KB Output is correct
88 Correct 89 ms 13836 KB Output is correct
89 Correct 87 ms 13576 KB Output is correct
90 Correct 81 ms 13544 KB Output is correct
91 Correct 89 ms 13280 KB Output is correct
92 Correct 120 ms 20872 KB Output is correct
93 Correct 106 ms 19384 KB Output is correct
94 Correct 90 ms 13004 KB Output is correct
95 Correct 96 ms 14396 KB Output is correct
96 Correct 103 ms 13392 KB Output is correct
97 Correct 100 ms 13696 KB Output is correct
98 Correct 123 ms 13872 KB Output is correct
99 Correct 106 ms 13568 KB Output is correct
100 Correct 89 ms 13596 KB Output is correct