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답안 #1084499

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1084499 2024-09-06T10:35:11 Z _rain_ Discharging (NOI20_discharging) C++14
100 / 100
 78 ms 16124 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long

#define fixbug false

const ll INF = (ll)4e18+7;
const int maxn = 1e6;
ll a[maxn+2] ;
int n;

namespace subtask1{
    bool check(){
        return n <= 1500;
    }
    const int N = 1500;
    ll f[N+2] , sum[N+2] = {};
    void main_code(){
        for (int i = 1; i <= n; ++i) f[i] = INF , sum[i] = INF;
        for (int i = 1; i <= n; ++i){
            ll mx = a[i];
            for (int j = i; j >= 1; --j){
                mx = max(mx , a[j]);
                f[i] = min(f[i] , f[j - 1] + mx * (n - j + 1));
            }
        }
        cout << f[n];
        return;
    }
}

namespace subtask2{
    bool check(){
        return true;
    }
    const int N = 1e6;
    ll f[N+2];
    #define double long double
    struct Line{
        ll a , b;
        Line(ll a , ll b) : a(a) , b(b) {};
        ll F(ll x){
            return a * x + b;
        }
    };
    struct Hull{
        Line X;
        double slope;
    };
    double get_slope(Line a , Line b){
        return (double)(b.b - a.b) / (a.a - b.a);
    }
    vector<Hull> convex;
    void addline(Line x){
        int n = convex.size();
        while (n > 1 && get_slope(convex[n - 2].X , x) <= convex[n-1].slope){
            convex.pop_back();
            --n;
        }
        if (!convex.size()) convex.push_back({x , LLONG_MIN});
            else convex.push_back({x , get_slope(convex[n - 1].X,x)});
        return;
    }
    ll Find(ll x , int t){
        int l = 0 , r = convex.size() - 1 , p = 0;
        while (l<=r){
            int m = l + r >> 1;
            if (convex[m].slope <= x){
                l = m + 1;
                p = m;
            }
            else r = m - 1;
        }
        if (t&&fixbug){
            cout << convex[p].X.a << ' ' << convex[p].X.b << ' ' << p << '\n';
            for (auto& x : convex) cout << x.X.a << ' ' << x.X.b << ' ' << x.slope << '\n';
        }
        return convex[p].X.F(x);
    }
    void add(ll a , ll b){
        addline(Line(a,b));
        return;
    }


    void main_code(){
        for (int i = 1; i <= n; ++i){
            add(-i , f[i-1]);
            f[i] = Find(a[i],i==2) + a[i]*n + a[i];
            int j = i;
            while (j <= n && a[i] >= a[j]){
                ++j;
                f[j] = f[i];
            }
            i = j - 1;
            if (fixbug){
                cout << i << ' ' << f[i] << '\n';
            }
        }
        cout << f[n];
    }

}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    #define name "main"
    if (fopen(name".inp","r")){
        freopen(name".inp","r",stdin);
        freopen(name".out","w",stdout);
    }

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

    subtask2::main_code();
    exit(0);
}

Compilation message

Discharging.cpp: In function 'long long int subtask2::Find(long long int, int)':
Discharging.cpp:67:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   67 |             int m = l + r >> 1;
      |                     ~~^~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:110:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  110 |         freopen(name".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Discharging.cpp:111:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  111 |         freopen(name".out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct

Subtask #2
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct

Subtask #3
25.0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 62 ms 15960 KB Output is correct
17 Correct 66 ms 16080 KB Output is correct
18 Correct 54 ms 16076 KB Output is correct
19 Correct 65 ms 15956 KB Output is correct
20 Correct 66 ms 15952 KB Output is correct
21 Correct 73 ms 15956 KB Output is correct
22 Correct 63 ms 16112 KB Output is correct
23 Correct 74 ms 15952 KB Output is correct
24 Correct 74 ms 15952 KB Output is correct
25 Correct 72 ms 15952 KB Output is correct
26 Correct 78 ms 15952 KB Output is correct
27 Correct 64 ms 16092 KB Output is correct
28 Correct 71 ms 16124 KB Output is correct
29 Correct 74 ms 16000 KB Output is correct
30 Correct 76 ms 16068 KB Output is correct

Subtask #4
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 72 ms 16072 KB Output is correct
2 Correct 63 ms 15952 KB Output is correct
3 Correct 61 ms 15952 KB Output is correct
4 Correct 62 ms 15956 KB Output is correct
5 Correct 63 ms 15956 KB Output is correct
6 Correct 61 ms 15956 KB Output is correct
7 Correct 69 ms 15960 KB Output is correct
8 Correct 67 ms 15956 KB Output is correct
9 Correct 64 ms 16072 KB Output is correct
10 Correct 65 ms 16072 KB Output is correct

Subtask #5
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2392 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 0 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 0 ms 2396 KB Output is correct
44 Correct 0 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 0 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct

Subtask #6
28.0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 62 ms 15960 KB Output is correct
31 Correct 66 ms 16080 KB Output is correct
32 Correct 54 ms 16076 KB Output is correct
33 Correct 65 ms 15956 KB Output is correct
34 Correct 66 ms 15952 KB Output is correct
35 Correct 73 ms 15956 KB Output is correct
36 Correct 63 ms 16112 KB Output is correct
37 Correct 74 ms 15952 KB Output is correct
38 Correct 74 ms 15952 KB Output is correct
39 Correct 72 ms 15952 KB Output is correct
40 Correct 78 ms 15952 KB Output is correct
41 Correct 64 ms 16092 KB Output is correct
42 Correct 71 ms 16124 KB Output is correct
43 Correct 74 ms 16000 KB Output is correct
44 Correct 76 ms 16068 KB Output is correct
45 Correct 72 ms 16072 KB Output is correct
46 Correct 63 ms 15952 KB Output is correct
47 Correct 61 ms 15952 KB Output is correct
48 Correct 62 ms 15956 KB Output is correct
49 Correct 63 ms 15956 KB Output is correct
50 Correct 61 ms 15956 KB Output is correct
51 Correct 69 ms 15960 KB Output is correct
52 Correct 67 ms 15956 KB Output is correct
53 Correct 64 ms 16072 KB Output is correct
54 Correct 65 ms 16072 KB Output is correct
55 Correct 1 ms 2392 KB Output is correct
56 Correct 0 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 0 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 0 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2392 KB Output is correct
64 Correct 1 ms 2392 KB Output is correct
65 Correct 1 ms 2396 KB Output is correct
66 Correct 0 ms 2396 KB Output is correct
67 Correct 1 ms 2396 KB Output is correct
68 Correct 0 ms 2396 KB Output is correct
69 Correct 0 ms 2396 KB Output is correct
70 Correct 0 ms 2396 KB Output is correct
71 Correct 0 ms 2396 KB Output is correct
72 Correct 1 ms 2396 KB Output is correct
73 Correct 1 ms 2396 KB Output is correct
74 Correct 0 ms 2396 KB Output is correct
75 Correct 1 ms 2396 KB Output is correct
76 Correct 62 ms 16068 KB Output is correct
77 Correct 53 ms 16072 KB Output is correct
78 Correct 50 ms 16080 KB Output is correct
79 Correct 51 ms 16072 KB Output is correct
80 Correct 55 ms 16076 KB Output is correct
81 Correct 49 ms 15956 KB Output is correct
82 Correct 51 ms 16072 KB Output is correct
83 Correct 53 ms 16072 KB Output is correct
84 Correct 56 ms 16056 KB Output is correct
85 Correct 54 ms 15956 KB Output is correct
86 Correct 49 ms 15952 KB Output is correct
87 Correct 50 ms 15956 KB Output is correct
88 Correct 51 ms 15960 KB Output is correct
89 Correct 48 ms 15956 KB Output is correct
90 Correct 50 ms 16100 KB Output is correct
91 Correct 50 ms 15956 KB Output is correct
92 Correct 76 ms 15956 KB Output is correct
93 Correct 66 ms 16072 KB Output is correct
94 Correct 48 ms 16084 KB Output is correct
95 Correct 52 ms 15956 KB Output is correct
96 Correct 49 ms 15952 KB Output is correct
97 Correct 52 ms 15956 KB Output is correct
98 Correct 59 ms 16076 KB Output is correct
99 Correct 48 ms 15952 KB Output is correct
100 Correct 48 ms 15952 KB Output is correct