답안 #435540

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
435540	2021-06-23T12:15:46 Z	meatrow	Discharging (NOI20_discharging)	C++17	100 / 100	222 ms	17980 KB

Discharging

#include <bits/stdc++.h>
 
using namespace std;
 
using ll = long long;
using ld = long double;
 
const int MOD = 998244353;
 
ll binpow(ll a, ll p, int mod = MOD) {
    ll res = 1;
    while (p) {
        if (p & 1) {
            (res *= a) %= mod;
        }
        p >>= 1;
        (a *= a) %= mod;
    }
    return res;
}
 
ll gcd(ll a, ll b) {
    return b == 0 ? a : gcd(b, a % b);
}

struct Line {
	mutable ll k, m, p;
	bool operator<(const Line& o) const { return k < o.k; }
	bool operator<(ll x) const { return p < x; }
};

struct LineContainer : multiset<Line, less<>> {
	// (for doubles, use inf = 1/.0, div(a,b) = a/b)
	static const ll inf = LLONG_MAX;
	ll div(ll a, ll b) { // floored division
		return a / b - ((a ^ b) < 0 && a % b); }
	bool isect(iterator x, iterator y) {
		if (y == end()) return x->p = inf, 0;
		if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
		else x->p = div(y->m - x->m, x->k - y->k);
		return x->p >= y->p;
	}
	void add(ll k, ll m) {
		auto z = insert({k, m, 0}), y = z++, x = y;
		while (isect(y, z)) z = erase(z);
		if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
		while ((y = x) != begin() && (--x)->p >= y->p)
			isect(x, erase(y));
	}
	ll query(ll x) {
		assert(!empty());
		auto l = *lower_bound(x);
		return l.k * x + l.m;
	}
};

void solve() {
    int n;
    cin >> n;
    vector<ll> dp(n);
    LineContainer cht;
    cht.add(-n, 0);
    ll mx = 0;
    for (int i = 0; i < n; i++) {
        ll t;
        cin >> t;
        mx = max(mx, t);
        dp[i] = cht.query(mx);
        cht.add(-n + i + 1, dp[i]);
    }
    cout << -dp[n - 1] << endl; 
}
 
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int T = 1;
    // cin >> T;
    for (int tc = 1; tc <= T; tc++) {
        // cout << "Case #" << tc << ": ";
        solve();
    }
    return 0;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	308 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	248 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	312 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 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	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	2 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	320 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	2 ms	324 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	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	2 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	320 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	2 ms	324 KB	Output is correct
16	Correct	190 ms	13120 KB	Output is correct
17	Correct	203 ms	13900 KB	Output is correct
18	Correct	180 ms	12488 KB	Output is correct
19	Correct	201 ms	13892 KB	Output is correct
20	Correct	205 ms	13732 KB	Output is correct
21	Correct	206 ms	13892 KB	Output is correct
22	Correct	195 ms	13564 KB	Output is correct
23	Correct	219 ms	14512 KB	Output is correct
24	Correct	206 ms	14012 KB	Output is correct
25	Correct	215 ms	14408 KB	Output is correct
26	Correct	217 ms	14656 KB	Output is correct
27	Correct	189 ms	13108 KB	Output is correct
28	Correct	210 ms	14136 KB	Output is correct
29	Correct	222 ms	14156 KB	Output is correct
30	Correct	209 ms	14396 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	200 ms	17724 KB	Output is correct
2	Correct	196 ms	17740 KB	Output is correct
3	Correct	210 ms	17732 KB	Output is correct
4	Correct	199 ms	17744 KB	Output is correct
5	Correct	199 ms	17852 KB	Output is correct
6	Correct	201 ms	17856 KB	Output is correct
7	Correct	214 ms	17728 KB	Output is correct
8	Correct	210 ms	17740 KB	Output is correct
9	Correct	194 ms	17980 KB	Output is correct
10	Correct	200 ms	17724 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	308 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	248 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	312 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 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	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	2 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	320 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	2 ms	324 KB	Output is correct
30	Correct	1 ms	320 KB	Output is correct
31	Correct	1 ms	316 KB	Output is correct
32	Correct	1 ms	332 KB	Output is correct
33	Correct	1 ms	332 KB	Output is correct
34	Correct	1 ms	204 KB	Output is correct
35	Correct	1 ms	332 KB	Output is correct
36	Correct	1 ms	332 KB	Output is correct
37	Correct	1 ms	332 KB	Output is correct
38	Correct	1 ms	332 KB	Output is correct
39	Correct	1 ms	332 KB	Output is correct
40	Correct	1 ms	204 KB	Output is correct
41	Correct	1 ms	332 KB	Output is correct
42	Correct	2 ms	320 KB	Output is correct
43	Correct	1 ms	316 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	332 KB	Output is correct
47	Correct	1 ms	204 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	1 ms	332 KB	Output is correct

Subtask #6
28.0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	308 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	248 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	312 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 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	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	2 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	320 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	2 ms	324 KB	Output is correct
30	Correct	190 ms	13120 KB	Output is correct
31	Correct	203 ms	13900 KB	Output is correct
32	Correct	180 ms	12488 KB	Output is correct
33	Correct	201 ms	13892 KB	Output is correct
34	Correct	205 ms	13732 KB	Output is correct
35	Correct	206 ms	13892 KB	Output is correct
36	Correct	195 ms	13564 KB	Output is correct
37	Correct	219 ms	14512 KB	Output is correct
38	Correct	206 ms	14012 KB	Output is correct
39	Correct	215 ms	14408 KB	Output is correct
40	Correct	217 ms	14656 KB	Output is correct
41	Correct	189 ms	13108 KB	Output is correct
42	Correct	210 ms	14136 KB	Output is correct
43	Correct	222 ms	14156 KB	Output is correct
44	Correct	209 ms	14396 KB	Output is correct
45	Correct	200 ms	17724 KB	Output is correct
46	Correct	196 ms	17740 KB	Output is correct
47	Correct	210 ms	17732 KB	Output is correct
48	Correct	199 ms	17744 KB	Output is correct
49	Correct	199 ms	17852 KB	Output is correct
50	Correct	201 ms	17856 KB	Output is correct
51	Correct	214 ms	17728 KB	Output is correct
52	Correct	210 ms	17740 KB	Output is correct
53	Correct	194 ms	17980 KB	Output is correct
54	Correct	200 ms	17724 KB	Output is correct
55	Correct	1 ms	320 KB	Output is correct
56	Correct	1 ms	316 KB	Output is correct
57	Correct	1 ms	332 KB	Output is correct
58	Correct	1 ms	332 KB	Output is correct
59	Correct	1 ms	204 KB	Output is correct
60	Correct	1 ms	332 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	332 KB	Output is correct
63	Correct	1 ms	332 KB	Output is correct
64	Correct	1 ms	332 KB	Output is correct
65	Correct	1 ms	204 KB	Output is correct
66	Correct	1 ms	332 KB	Output is correct
67	Correct	2 ms	320 KB	Output is correct
68	Correct	1 ms	316 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	332 KB	Output is correct
72	Correct	1 ms	204 KB	Output is correct
73	Correct	1 ms	332 KB	Output is correct
74	Correct	1 ms	332 KB	Output is correct
75	Correct	1 ms	332 KB	Output is correct
76	Correct	203 ms	14140 KB	Output is correct
77	Correct	192 ms	14160 KB	Output is correct
78	Correct	183 ms	13504 KB	Output is correct
79	Correct	184 ms	13892 KB	Output is correct
80	Correct	194 ms	14400 KB	Output is correct
81	Correct	180 ms	13632 KB	Output is correct
82	Correct	188 ms	13636 KB	Output is correct
83	Correct	186 ms	14104 KB	Output is correct
84	Correct	190 ms	13880 KB	Output is correct
85	Correct	191 ms	14148 KB	Output is correct
86	Correct	188 ms	13496 KB	Output is correct
87	Correct	199 ms	13380 KB	Output is correct
88	Correct	191 ms	13760 KB	Output is correct
89	Correct	192 ms	13632 KB	Output is correct
90	Correct	189 ms	13504 KB	Output is correct
91	Correct	186 ms	13380 KB	Output is correct
92	Correct	215 ms	14668 KB	Output is correct
93	Correct	209 ms	13892 KB	Output is correct
94	Correct	185 ms	13116 KB	Output is correct
95	Correct	207 ms	14400 KB	Output is correct
96	Correct	177 ms	13372 KB	Output is correct
97	Correct	196 ms	13628 KB	Output is correct
98	Correct	184 ms	13892 KB	Output is correct
99	Correct	189 ms	13500 KB	Output is correct
100	Correct	185 ms	13656 KB	Output is correct

답안 #435540

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 13.0 / 13.0

Subtask #3 25.0 / 25.0

Subtask #4 11.0 / 11.0

Subtask #5 14.0 / 14.0

Subtask #6 28.0 / 28.0

Subtask #1
9.0 / 9.0

Subtask #2
13.0 / 13.0

Subtask #3
25.0 / 25.0

Subtask #4
11.0 / 11.0

Subtask #5
14.0 / 14.0

Subtask #6
28.0 / 28.0