oj.uz

Submission #656395

# Submission time Handle Problem Language Result Execution time Memory
656395 2022-11-07T09:39:20 Z buidangnguyen05 Discharging (NOI20_discharging) C++17
100 / 100
 119 ms 37300 KB 
#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

const int N = 1e6 + 10;
int a[N]; ll f[N];

struct Line {
	ll A, B;
	Line() : A(0), B(0) {}
	Line (ll _a, ll _b) {
		A = _a, B = _b;
	}
};

struct ConvexHullTrick {
	Line st[N]; int sz, it = 1;

	long double G (Line x, Line y) {
		return 1.0 * (x.B - y.B) / (y.A - x.A);
	}

	ll calc(Line x, ll v) {
		return x.A * v + x.B;
	}

	void add(ll x, ll y) {
		Line cur = Line(x, y);
		if (sz && st[sz].A == x && st[sz].B <= y) return;
		while (sz > 1 && G(cur, st[sz]) <= G(st[sz], st[sz - 1])) --sz;
		st[++sz] = cur;
	}

	ll get(ll x) {
		if (it > sz) it = sz;
		while (it < sz && calc(st[it + 1], x) <= calc(st[it], x)) ++it;
		return calc(st[it], x);
	}
} cht;

signed main() {
	cin.tie(0)->sync_with_stdio(0);
	if (fopen("discharging.inp", "r")) {
		freopen("discharging.inp", "r", stdin);
		freopen("discharging.out", "w", stdout);
	}

	#ifdef LOCAL_MACHINE
		if (fopen("task.inp", "r")) {
			freopen("task.inp", "r", stdin);
			freopen("task.out", "w", stdout);
		}
	#endif

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

    cht.add(n, 0);
    int mx = 0;
    for (int i = 1; i <= n; ++i) {
        mx = max(mx, a[i]);
        f[i] = cht.get(mx);
        cht.add(n - i, f[i]);
    }
    cout << f[n] << "\n";
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:45:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   45 |   freopen("discharging.inp", "r", stdin);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Discharging.cpp:46:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   46 |   freopen("discharging.out", "w", stdout);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15956 KB Output is correct
2 Correct 6 ms 15956 KB Output is correct
3 Correct 6 ms 15984 KB Output is correct
4 Correct 7 ms 15956 KB Output is correct
5 Correct 9 ms 15956 KB Output is correct
6 Correct 7 ms 15956 KB Output is correct
7 Correct 10 ms 16004 KB Output is correct
8 Correct 7 ms 15956 KB Output is correct
9 Correct 8 ms 15924 KB Output is correct
10 Correct 7 ms 15956 KB Output is correct
11 Correct 7 ms 15984 KB Output is correct
12 Correct 8 ms 15956 KB Output is correct
13 Correct 8 ms 15984 KB Output is correct
14 Correct 7 ms 16008 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15996 KB Output is correct
2 Correct 8 ms 15964 KB Output is correct
3 Correct 7 ms 15960 KB Output is correct
4 Correct 9 ms 15956 KB Output is correct
5 Correct 8 ms 16072 KB Output is correct
6 Correct 8 ms 15996 KB Output is correct
7 Correct 8 ms 16084 KB Output is correct
8 Correct 7 ms 15900 KB Output is correct
9 Correct 9 ms 15996 KB Output is correct
10 Correct 9 ms 15956 KB Output is correct
11 Correct 7 ms 15980 KB Output is correct
12 Correct 7 ms 15992 KB Output is correct
13 Correct 7 ms 15956 KB Output is correct
14 Correct 8 ms 16084 KB Output is correct
15 Correct 7 ms 15992 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15996 KB Output is correct
2 Correct 8 ms 15964 KB Output is correct
3 Correct 7 ms 15960 KB Output is correct
4 Correct 9 ms 15956 KB Output is correct
5 Correct 8 ms 16072 KB Output is correct
6 Correct 8 ms 15996 KB Output is correct
7 Correct 8 ms 16084 KB Output is correct
8 Correct 7 ms 15900 KB Output is correct
9 Correct 9 ms 15996 KB Output is correct
10 Correct 9 ms 15956 KB Output is correct
11 Correct 7 ms 15980 KB Output is correct
12 Correct 7 ms 15992 KB Output is correct
13 Correct 7 ms 15956 KB Output is correct
14 Correct 8 ms 16084 KB Output is correct
15 Correct 7 ms 15992 KB Output is correct
16 Correct 87 ms 32640 KB Output is correct
17 Correct 104 ms 33596 KB Output is correct
18 Correct 79 ms 32072 KB Output is correct
19 Correct 101 ms 33612 KB Output is correct
20 Correct 98 ms 33320 KB Output is correct
21 Correct 95 ms 33364 KB Output is correct
22 Correct 90 ms 33036 KB Output is correct
23 Correct 108 ms 34092 KB Output is correct
24 Correct 91 ms 33476 KB Output is correct
25 Correct 95 ms 33876 KB Output is correct
26 Correct 119 ms 34216 KB Output is correct
27 Correct 92 ms 32828 KB Output is correct
28 Correct 95 ms 33592 KB Output is correct
29 Correct 94 ms 33740 KB Output is correct
30 Correct 106 ms 34024 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 36156 KB Output is correct
2 Correct 115 ms 35880 KB Output is correct
3 Correct 111 ms 36512 KB Output is correct
4 Correct 110 ms 36084 KB Output is correct
5 Correct 107 ms 36476 KB Output is correct
6 Correct 109 ms 36120 KB Output is correct
7 Correct 110 ms 37032 KB Output is correct
8 Correct 110 ms 37040 KB Output is correct
9 Correct 108 ms 37296 KB Output is correct
10 Correct 116 ms 37300 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15956 KB Output is correct
2 Correct 6 ms 15956 KB Output is correct
3 Correct 6 ms 15984 KB Output is correct
4 Correct 7 ms 15956 KB Output is correct
5 Correct 9 ms 15956 KB Output is correct
6 Correct 7 ms 15956 KB Output is correct
7 Correct 10 ms 16004 KB Output is correct
8 Correct 7 ms 15956 KB Output is correct
9 Correct 8 ms 15924 KB Output is correct
10 Correct 7 ms 15956 KB Output is correct
11 Correct 7 ms 15984 KB Output is correct
12 Correct 8 ms 15956 KB Output is correct
13 Correct 8 ms 15984 KB Output is correct
14 Correct 7 ms 16008 KB Output is correct
15 Correct 7 ms 15996 KB Output is correct
16 Correct 8 ms 15964 KB Output is correct
17 Correct 7 ms 15960 KB Output is correct
18 Correct 9 ms 15956 KB Output is correct
19 Correct 8 ms 16072 KB Output is correct
20 Correct 8 ms 15996 KB Output is correct
21 Correct 8 ms 16084 KB Output is correct
22 Correct 7 ms 15900 KB Output is correct
23 Correct 9 ms 15996 KB Output is correct
24 Correct 9 ms 15956 KB Output is correct
25 Correct 7 ms 15980 KB Output is correct
26 Correct 7 ms 15992 KB Output is correct
27 Correct 7 ms 15956 KB Output is correct
28 Correct 8 ms 16084 KB Output is correct
29 Correct 7 ms 15992 KB Output is correct
30 Correct 10 ms 15980 KB Output is correct
31 Correct 7 ms 15956 KB Output is correct
32 Correct 9 ms 15992 KB Output is correct
33 Correct 7 ms 15984 KB Output is correct
34 Correct 9 ms 15984 KB Output is correct
35 Correct 8 ms 15956 KB Output is correct
36 Correct 9 ms 15960 KB Output is correct
37 Correct 8 ms 16024 KB Output is correct
38 Correct 8 ms 15988 KB Output is correct
39 Correct 8 ms 15956 KB Output is correct
40 Correct 10 ms 15956 KB Output is correct
41 Correct 10 ms 16028 KB Output is correct
42 Correct 8 ms 15940 KB Output is correct
43 Correct 7 ms 15988 KB Output is correct
44 Correct 7 ms 15968 KB Output is correct
45 Correct 8 ms 15956 KB Output is correct
46 Correct 7 ms 15956 KB Output is correct
47 Correct 7 ms 15956 KB Output is correct
48 Correct 8 ms 15956 KB Output is correct
49 Correct 8 ms 15956 KB Output is correct
50 Correct 7 ms 15956 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15956 KB Output is correct
2 Correct 6 ms 15956 KB Output is correct
3 Correct 6 ms 15984 KB Output is correct
4 Correct 7 ms 15956 KB Output is correct
5 Correct 9 ms 15956 KB Output is correct
6 Correct 7 ms 15956 KB Output is correct
7 Correct 10 ms 16004 KB Output is correct
8 Correct 7 ms 15956 KB Output is correct
9 Correct 8 ms 15924 KB Output is correct
10 Correct 7 ms 15956 KB Output is correct
11 Correct 7 ms 15984 KB Output is correct
12 Correct 8 ms 15956 KB Output is correct
13 Correct 8 ms 15984 KB Output is correct
14 Correct 7 ms 16008 KB Output is correct
15 Correct 7 ms 15996 KB Output is correct
16 Correct 8 ms 15964 KB Output is correct
17 Correct 7 ms 15960 KB Output is correct
18 Correct 9 ms 15956 KB Output is correct
19 Correct 8 ms 16072 KB Output is correct
20 Correct 8 ms 15996 KB Output is correct
21 Correct 8 ms 16084 KB Output is correct
22 Correct 7 ms 15900 KB Output is correct
23 Correct 9 ms 15996 KB Output is correct
24 Correct 9 ms 15956 KB Output is correct
25 Correct 7 ms 15980 KB Output is correct
26 Correct 7 ms 15992 KB Output is correct
27 Correct 7 ms 15956 KB Output is correct
28 Correct 8 ms 16084 KB Output is correct
29 Correct 7 ms 15992 KB Output is correct
30 Correct 87 ms 32640 KB Output is correct
31 Correct 104 ms 33596 KB Output is correct
32 Correct 79 ms 32072 KB Output is correct
33 Correct 101 ms 33612 KB Output is correct
34 Correct 98 ms 33320 KB Output is correct
35 Correct 95 ms 33364 KB Output is correct
36 Correct 90 ms 33036 KB Output is correct
37 Correct 108 ms 34092 KB Output is correct
38 Correct 91 ms 33476 KB Output is correct
39 Correct 95 ms 33876 KB Output is correct
40 Correct 119 ms 34216 KB Output is correct
41 Correct 92 ms 32828 KB Output is correct
42 Correct 95 ms 33592 KB Output is correct
43 Correct 94 ms 33740 KB Output is correct
44 Correct 106 ms 34024 KB Output is correct
45 Correct 119 ms 36156 KB Output is correct
46 Correct 115 ms 35880 KB Output is correct
47 Correct 111 ms 36512 KB Output is correct
48 Correct 110 ms 36084 KB Output is correct
49 Correct 107 ms 36476 KB Output is correct
50 Correct 109 ms 36120 KB Output is correct
51 Correct 110 ms 37032 KB Output is correct
52 Correct 110 ms 37040 KB Output is correct
53 Correct 108 ms 37296 KB Output is correct
54 Correct 116 ms 37300 KB Output is correct
55 Correct 10 ms 15980 KB Output is correct
56 Correct 7 ms 15956 KB Output is correct
57 Correct 9 ms 15992 KB Output is correct
58 Correct 7 ms 15984 KB Output is correct
59 Correct 9 ms 15984 KB Output is correct
60 Correct 8 ms 15956 KB Output is correct
61 Correct 9 ms 15960 KB Output is correct
62 Correct 8 ms 16024 KB Output is correct
63 Correct 8 ms 15988 KB Output is correct
64 Correct 8 ms 15956 KB Output is correct
65 Correct 10 ms 15956 KB Output is correct
66 Correct 10 ms 16028 KB Output is correct
67 Correct 8 ms 15940 KB Output is correct
68 Correct 7 ms 15988 KB Output is correct
69 Correct 7 ms 15968 KB Output is correct
70 Correct 8 ms 15956 KB Output is correct
71 Correct 7 ms 15956 KB Output is correct
72 Correct 7 ms 15956 KB Output is correct
73 Correct 8 ms 15956 KB Output is correct
74 Correct 8 ms 15956 KB Output is correct
75 Correct 7 ms 15956 KB Output is correct
76 Correct 98 ms 33684 KB Output is correct
77 Correct 102 ms 33760 KB Output is correct
78 Correct 87 ms 33100 KB Output is correct
79 Correct 91 ms 33356 KB Output is correct
80 Correct 100 ms 33952 KB Output is correct
81 Correct 92 ms 33144 KB Output is correct
82 Correct 95 ms 33188 KB Output is correct
83 Correct 104 ms 33600 KB Output is correct
84 Correct 96 ms 33484 KB Output is correct
85 Correct 91 ms 33776 KB Output is correct
86 Correct 88 ms 33112 KB Output is correct
87 Correct 103 ms 32980 KB Output is correct
88 Correct 91 ms 33412 KB Output is correct
89 Correct 90 ms 33268 KB Output is correct
90 Correct 87 ms 33100 KB Output is correct
91 Correct 92 ms 32912 KB Output is correct
92 Correct 104 ms 34212 KB Output is correct
93 Correct 103 ms 33496 KB Output is correct
94 Correct 112 ms 32520 KB Output is correct
95 Correct 99 ms 34048 KB Output is correct
96 Correct 86 ms 32960 KB Output is correct
97 Correct 104 ms 33260 KB Output is correct
98 Correct 94 ms 33468 KB Output is correct
99 Correct 90 ms 33056 KB Output is correct
100 Correct 93 ms 33204 KB Output is correct