Submission #1070903

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1070903	2024-08-22T20:36:02 Z	amirhoseinfar1385	Feast (NOI19_feast)	C++17	100 / 100	319 ms	14056 KB

feast

#include<bits/stdc++.h>
using namespace std;
const long long maxn=300000+10;
long long n,k,all[maxn];

pair<long long ,long long>check(long long mid){
	vector<pair<long long ,long long>>dp0(n),dp1(n);
	pair<long long,long long>ret;
	for(long long i=0;i<n;i++){
		dp1[i]=make_pair(all[i]-mid,1);
		dp0[i]=make_pair(0,0);
		if(i==0){
			continue;
		}
		dp1[i]=max(dp1[i],make_pair(dp0[i-1].first-mid+all[i],dp0[i-1].second+1));
		dp1[i]=max(dp1[i],make_pair(dp1[i-1].first+all[i],dp1[i-1].second));
		dp0[i]=max(dp0[i],dp0[i-1]);
		dp0[i]=max(dp0[i],dp1[i-1]);
	}
	ret.second=max(dp0[n-1],dp1[n-1]).second;
	for(long long i=0;i<n;i++){
		dp1[i]=make_pair(all[i]-mid,-1);
		dp0[i]=make_pair(0,0);
		if(i==0){
			continue;
		}
		dp1[i]=max(dp1[i],make_pair(dp0[i-1].first-mid+all[i],dp0[i-1].second-1));
		dp1[i]=max(dp1[i],make_pair(dp1[i-1].first+all[i],dp1[i-1].second));
		dp0[i]=max(dp0[i],dp0[i-1]);
		dp0[i]=max(dp0[i],dp1[i-1]);
	}
	ret.first=max(dp0[n-1],dp1[n-1]).second*-1;
	return ret;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin>>n>>k;
	for(long long i=0;i<n;i++){
		cin>>all[i];
	}
	long long opt=0;
	long long high=1e15,low=-1,mid;
	while(high-low>1){
		mid=(high+low)>>1;
		pair<long long ,long long>stf=check(mid);
		if(stf.first<=k&&stf.second>=k){
			opt=mid;
			break;
		}
		if(stf.second<k){
			high=mid;
		}else{
			low=mid;
		}
	}
	mid=opt;
	vector<pair<long long ,long long>>dp0(n),dp1(n);
	pair<long long,long long>ret;
	for(long long i=0;i<n;i++){
		dp1[i]=make_pair(all[i]-mid,1);
		dp0[i]=make_pair(0,0);
		if(i==0){
			continue;
		}
		dp1[i]=max(dp1[i],make_pair(dp0[i-1].first-mid+all[i],dp0[i-1].second+1));
		dp1[i]=max(dp1[i],make_pair(dp1[i-1].first+all[i],dp1[i-1].second));
		dp0[i]=max(dp0[i],dp0[i-1]);
		dp0[i]=max(dp0[i],dp1[i-1]);
	}
	cout<<max(dp1[n-1],dp0[n-1]).first+k*opt<<endl;
	//cout<<mid<<endl;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	195 ms	11788 KB	Output is correct
2	Correct	199 ms	12100 KB	Output is correct
3	Correct	214 ms	12212 KB	Output is correct
4	Correct	238 ms	12136 KB	Output is correct
5	Correct	173 ms	12064 KB	Output is correct
6	Correct	221 ms	13796 KB	Output is correct
7	Correct	243 ms	11856 KB	Output is correct
8	Correct	232 ms	12116 KB	Output is correct
9	Correct	193 ms	11924 KB	Output is correct
10	Correct	202 ms	12048 KB	Output is correct

Subtask #2
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	142 ms	11924 KB	Output is correct
2	Correct	113 ms	12196 KB	Output is correct
3	Correct	97 ms	11932 KB	Output is correct
4	Correct	214 ms	12056 KB	Output is correct
5	Correct	37 ms	13768 KB	Output is correct
6	Correct	92 ms	11988 KB	Output is correct
7	Correct	199 ms	12260 KB	Output is correct
8	Correct	34 ms	12124 KB	Output is correct
9	Correct	37 ms	11788 KB	Output is correct
10	Correct	184 ms	12144 KB	Output is correct

Subtask #3
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	143 ms	14028 KB	Output is correct
2	Correct	118 ms	11936 KB	Output is correct
3	Correct	99 ms	12032 KB	Output is correct
4	Correct	99 ms	11952 KB	Output is correct
5	Correct	117 ms	12048 KB	Output is correct
6	Correct	130 ms	12380 KB	Output is correct
7	Correct	122 ms	12160 KB	Output is correct
8	Correct	118 ms	12064 KB	Output is correct
9	Correct	140 ms	12172 KB	Output is correct
10	Correct	118 ms	12164 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct

Subtask #5
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	1 ms	472 KB	Output is correct
20	Correct	1 ms	348 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	1 ms	472 KB	Output is correct
20	Correct	1 ms	348 KB	Output is correct
21	Correct	2 ms	344 KB	Output is correct
22	Correct	2 ms	348 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	2 ms	344 KB	Output is correct
27	Correct	2 ms	344 KB	Output is correct
28	Correct	2 ms	504 KB	Output is correct
29	Correct	1 ms	476 KB	Output is correct
30	Correct	2 ms	348 KB	Output is correct

Subtask #7
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	195 ms	11788 KB	Output is correct
2	Correct	199 ms	12100 KB	Output is correct
3	Correct	214 ms	12212 KB	Output is correct
4	Correct	238 ms	12136 KB	Output is correct
5	Correct	173 ms	12064 KB	Output is correct
6	Correct	221 ms	13796 KB	Output is correct
7	Correct	243 ms	11856 KB	Output is correct
8	Correct	232 ms	12116 KB	Output is correct
9	Correct	193 ms	11924 KB	Output is correct
10	Correct	202 ms	12048 KB	Output is correct
11	Correct	142 ms	11924 KB	Output is correct
12	Correct	113 ms	12196 KB	Output is correct
13	Correct	97 ms	11932 KB	Output is correct
14	Correct	214 ms	12056 KB	Output is correct
15	Correct	37 ms	13768 KB	Output is correct
16	Correct	92 ms	11988 KB	Output is correct
17	Correct	199 ms	12260 KB	Output is correct
18	Correct	34 ms	12124 KB	Output is correct
19	Correct	37 ms	11788 KB	Output is correct
20	Correct	184 ms	12144 KB	Output is correct
21	Correct	143 ms	14028 KB	Output is correct
22	Correct	118 ms	11936 KB	Output is correct
23	Correct	99 ms	12032 KB	Output is correct
24	Correct	99 ms	11952 KB	Output is correct
25	Correct	117 ms	12048 KB	Output is correct
26	Correct	130 ms	12380 KB	Output is correct
27	Correct	122 ms	12160 KB	Output is correct
28	Correct	118 ms	12064 KB	Output is correct
29	Correct	140 ms	12172 KB	Output is correct
30	Correct	118 ms	12164 KB	Output is correct
31	Correct	0 ms	344 KB	Output is correct
32	Correct	1 ms	344 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	1 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	1 ms	348 KB	Output is correct
38	Correct	0 ms	344 KB	Output is correct
39	Correct	0 ms	348 KB	Output is correct
40	Correct	1 ms	348 KB	Output is correct
41	Correct	1 ms	348 KB	Output is correct
42	Correct	1 ms	348 KB	Output is correct
43	Correct	1 ms	348 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	0 ms	348 KB	Output is correct
46	Correct	0 ms	348 KB	Output is correct
47	Correct	1 ms	348 KB	Output is correct
48	Correct	1 ms	348 KB	Output is correct
49	Correct	1 ms	472 KB	Output is correct
50	Correct	1 ms	348 KB	Output is correct
51	Correct	2 ms	344 KB	Output is correct
52	Correct	2 ms	348 KB	Output is correct
53	Correct	1 ms	344 KB	Output is correct
54	Correct	1 ms	348 KB	Output is correct
55	Correct	1 ms	348 KB	Output is correct
56	Correct	2 ms	344 KB	Output is correct
57	Correct	2 ms	344 KB	Output is correct
58	Correct	2 ms	504 KB	Output is correct
59	Correct	1 ms	476 KB	Output is correct
60	Correct	2 ms	348 KB	Output is correct
61	Correct	216 ms	11940 KB	Output is correct
62	Correct	319 ms	12228 KB	Output is correct
63	Correct	222 ms	11892 KB	Output is correct
64	Correct	296 ms	14056 KB	Output is correct
65	Correct	229 ms	12156 KB	Output is correct
66	Correct	242 ms	12088 KB	Output is correct
67	Correct	243 ms	11944 KB	Output is correct
68	Correct	158 ms	12120 KB	Output is correct
69	Correct	124 ms	11928 KB	Output is correct
70	Correct	117 ms	11932 KB	Output is correct

Submission #1070903

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 8.0 / 8.0

Subtask #3 18.0 / 18.0

Subtask #4 10.0 / 10.0

Subtask #5 11.0 / 11.0

Subtask #6 20.0 / 20.0

Subtask #7 29.0 / 29.0

Subtask #1
4.0 / 4.0

Subtask #2
8.0 / 8.0

Subtask #3
18.0 / 18.0

Subtask #4
10.0 / 10.0

Subtask #5
11.0 / 11.0

Subtask #6
20.0 / 20.0

Subtask #7
29.0 / 29.0