Submission #335747

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
335747	2020-12-13T20:15:43 Z	nafis_shifat	Discharging (NOI20_discharging)	C++14	100 / 100	446 ms	25868 KB

Discharging

#include<bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
using namespace std;
const int mxn=1e6+5;
const ll inf=1e18;


vector<ll> m,b;

ll f(int i, ll x) { return m[i] * x + b[i]; }


bool bad(int f1,int f2,int f3) {
	return __int128(b[f3] - b[f1]) * (m[f1] - m[f2]) <= __int128(b[f2] - b[f1]) * (m[f1] - m[f3]);
}

void add(ll m_, ll b_) {
	m.push_back(m_);
	b.push_back(b_);

	int sz = m.size();

	while(sz >=3 && bad(sz-3,sz-2,sz-1)) {
		m.erase(m.end() - 2);
		b.erase(b.end() - 2);
		sz--;
	}
}

ll query(ll x) {
	ll ans = inf;

	int lo = 0;
	int hi = m.size() - 1;

	while(lo <= hi) {
		int mid1 = lo + (hi - lo) / 3;
		int mid2 = hi - (hi - hi) / 3;

		ll v1 = f(mid1,x);
		ll v2 = f(mid2,x);

		if(v1 <= v2) {
			ans = min(ans,v1);
			hi = mid2 - 1;
		} else {
			ans = min(ans,v2);
			lo = mid1 + 1;
		}
	}

	return ans;
}



int main() {
	int n;
	cin>>n;

	ll t[n+1];


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


	ll dp[n+1];

    dp[0] = 0;

    add(0,0);
    ll cm = 0;
    int lp = 1;


    for(int i = 1; i <= n; i++) {
    	if(t[i] >= cm) {
    		cm = t[i];
    		for(; lp < i; lp++) {
    			add(-lp,dp[lp]);
    		}
    	}
    	dp[i] = query(cm) + cm * n;
    	
    }

    cout<<dp[n]<<endl;
	
}

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	492 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct

Subtask #2
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct

Subtask #3
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	492 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	345 ms	16108 KB	Output is correct
17	Correct	396 ms	21996 KB	Output is correct
18	Correct	322 ms	20332 KB	Output is correct
19	Correct	395 ms	21740 KB	Output is correct
20	Correct	368 ms	21732 KB	Output is correct
21	Correct	397 ms	21740 KB	Output is correct
22	Correct	361 ms	21484 KB	Output is correct
23	Correct	402 ms	22508 KB	Output is correct
24	Correct	386 ms	21868 KB	Output is correct
25	Correct	405 ms	22380 KB	Output is correct
26	Correct	421 ms	22636 KB	Output is correct
27	Correct	352 ms	21100 KB	Output is correct
28	Correct	385 ms	22124 KB	Output is correct
29	Correct	413 ms	22088 KB	Output is correct
30	Correct	412 ms	22380 KB	Output is correct

Subtask #4
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	415 ms	15980 KB	Output is correct
2	Correct	442 ms	25708 KB	Output is correct
3	Correct	425 ms	25748 KB	Output is correct
4	Correct	430 ms	25708 KB	Output is correct
5	Correct	446 ms	25580 KB	Output is correct
6	Correct	419 ms	25868 KB	Output is correct
7	Correct	424 ms	25580 KB	Output is correct
8	Correct	421 ms	25708 KB	Output is correct
9	Correct	416 ms	25596 KB	Output is correct
10	Correct	423 ms	25836 KB	Output is correct

Subtask #5
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	492 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	1 ms	364 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	492 KB	Output is correct
26	Correct	1 ms	364 KB	Output is correct
27	Correct	1 ms	364 KB	Output is correct
28	Correct	1 ms	364 KB	Output is correct
29	Correct	1 ms	364 KB	Output is correct
30	Correct	1 ms	364 KB	Output is correct
31	Correct	1 ms	364 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	1 ms	364 KB	Output is correct
34	Correct	1 ms	364 KB	Output is correct
35	Correct	1 ms	364 KB	Output is correct
36	Correct	1 ms	364 KB	Output is correct
37	Correct	1 ms	364 KB	Output is correct
38	Correct	1 ms	364 KB	Output is correct
39	Correct	1 ms	364 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	1 ms	364 KB	Output is correct
42	Correct	1 ms	364 KB	Output is correct
43	Correct	1 ms	364 KB	Output is correct
44	Correct	1 ms	364 KB	Output is correct
45	Correct	1 ms	364 KB	Output is correct
46	Correct	2 ms	364 KB	Output is correct
47	Correct	1 ms	364 KB	Output is correct
48	Correct	1 ms	364 KB	Output is correct
49	Correct	1 ms	364 KB	Output is correct
50	Correct	1 ms	364 KB	Output is correct

Subtask #6
28.0 / 28.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	492 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	1 ms	364 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	492 KB	Output is correct
26	Correct	1 ms	364 KB	Output is correct
27	Correct	1 ms	364 KB	Output is correct
28	Correct	1 ms	364 KB	Output is correct
29	Correct	1 ms	364 KB	Output is correct
30	Correct	345 ms	16108 KB	Output is correct
31	Correct	396 ms	21996 KB	Output is correct
32	Correct	322 ms	20332 KB	Output is correct
33	Correct	395 ms	21740 KB	Output is correct
34	Correct	368 ms	21732 KB	Output is correct
35	Correct	397 ms	21740 KB	Output is correct
36	Correct	361 ms	21484 KB	Output is correct
37	Correct	402 ms	22508 KB	Output is correct
38	Correct	386 ms	21868 KB	Output is correct
39	Correct	405 ms	22380 KB	Output is correct
40	Correct	421 ms	22636 KB	Output is correct
41	Correct	352 ms	21100 KB	Output is correct
42	Correct	385 ms	22124 KB	Output is correct
43	Correct	413 ms	22088 KB	Output is correct
44	Correct	412 ms	22380 KB	Output is correct
45	Correct	415 ms	15980 KB	Output is correct
46	Correct	442 ms	25708 KB	Output is correct
47	Correct	425 ms	25748 KB	Output is correct
48	Correct	430 ms	25708 KB	Output is correct
49	Correct	446 ms	25580 KB	Output is correct
50	Correct	419 ms	25868 KB	Output is correct
51	Correct	424 ms	25580 KB	Output is correct
52	Correct	421 ms	25708 KB	Output is correct
53	Correct	416 ms	25596 KB	Output is correct
54	Correct	423 ms	25836 KB	Output is correct
55	Correct	1 ms	364 KB	Output is correct
56	Correct	1 ms	364 KB	Output is correct
57	Correct	1 ms	364 KB	Output is correct
58	Correct	1 ms	364 KB	Output is correct
59	Correct	1 ms	364 KB	Output is correct
60	Correct	1 ms	364 KB	Output is correct
61	Correct	1 ms	364 KB	Output is correct
62	Correct	1 ms	364 KB	Output is correct
63	Correct	1 ms	364 KB	Output is correct
64	Correct	1 ms	364 KB	Output is correct
65	Correct	1 ms	364 KB	Output is correct
66	Correct	1 ms	364 KB	Output is correct
67	Correct	1 ms	364 KB	Output is correct
68	Correct	1 ms	364 KB	Output is correct
69	Correct	1 ms	364 KB	Output is correct
70	Correct	1 ms	364 KB	Output is correct
71	Correct	2 ms	364 KB	Output is correct
72	Correct	1 ms	364 KB	Output is correct
73	Correct	1 ms	364 KB	Output is correct
74	Correct	1 ms	364 KB	Output is correct
75	Correct	1 ms	364 KB	Output is correct
76	Correct	340 ms	21996 KB	Output is correct
77	Correct	340 ms	21996 KB	Output is correct
78	Correct	323 ms	21356 KB	Output is correct
79	Correct	333 ms	21712 KB	Output is correct
80	Correct	351 ms	22380 KB	Output is correct
81	Correct	326 ms	21612 KB	Output is correct
82	Correct	326 ms	21612 KB	Output is correct
83	Correct	340 ms	22136 KB	Output is correct
84	Correct	339 ms	21868 KB	Output is correct
85	Correct	346 ms	22124 KB	Output is correct
86	Correct	322 ms	21484 KB	Output is correct
87	Correct	319 ms	21356 KB	Output is correct
88	Correct	335 ms	21740 KB	Output is correct
89	Correct	331 ms	21612 KB	Output is correct
90	Correct	326 ms	21420 KB	Output is correct
91	Correct	315 ms	21356 KB	Output is correct
92	Correct	413 ms	22508 KB	Output is correct
93	Correct	386 ms	21740 KB	Output is correct
94	Correct	304 ms	20844 KB	Output is correct
95	Correct	355 ms	22320 KB	Output is correct
96	Correct	320 ms	21228 KB	Output is correct
97	Correct	329 ms	21740 KB	Output is correct
98	Correct	337 ms	21740 KB	Output is correct
99	Correct	327 ms	21716 KB	Output is correct
100	Correct	324 ms	21612 KB	Output is correct

Submission #335747

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