Submission #976841

# Submission time Handle Problem Language Result Execution time Memory
976841 2024-05-07T07:33:39 Z tamir1 Split the sequence (APIO14_sequence) C++17
100 / 100
563 ms 82064 KB
#include<bits/stdc++.h>
#define ll long long
using namespace std;
ll dp[2][100001],sum[100001],ans;
int n,k,i,l,a[100001],dp2[201][100001],idx;
vector<int> v;
struct line{
	ll k,d;
	int idx;
};
ll val(line a,ll x){
	return a.k*x+a.d;
}
double intt(line a,line b){
	return double(b.d-a.d)/(a.k-b.k);
}
int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin >> n >> k;
	for(i=1;i<=n;i++){
		cin >> a[i];
		sum[i]=sum[i-1]+a[i];
	}
	for(l=1;l<=k;l++){
		deque<line> q;
		q.push_back({sum[l-1],dp[0][l-1]-sum[n]*sum[l-1],l-1});
		for(i=l;i<n;i++){
			while(q.size()>=2 && val(q.back(),sum[i])<=val(q[q.size()-2],sum[i])) q.pop_back();
			dp[1][i]=sum[n]*sum[i]-sum[i]*sum[i]+val(q.back(),sum[i]);
			dp2[l][i]=q.back().idx;
			line cur={sum[i],dp[0][i]-sum[n]*sum[i],i};
			dp[0][i]=dp[1][i];
			if(a[i]==0) continue;
			while(q.size()>=2 && intt(cur,q[0])<=intt(q[0],q[1])) q.pop_front();
			q.push_front(cur);
		}
	}
	for(i=k;i<n;i++){
		if(dp[1][i]>=ans){
			ans=dp[1][i];
			idx=i;
		}
	}
	for(i=k;i>=1;i--){
		v.push_back(idx);
		idx=dp2[i][idx];
	}
	reverse(v.begin(),v.end());
	cout << ans << "\n";
	for(i=0;i<k;i++) cout << v[i] << " ";
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 4444 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 6492 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4444 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 4444 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4444 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4440 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4444 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 4444 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4444 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4444 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4444 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 22876 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4444 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 6488 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 6492 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 12636 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 8540 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 6492 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 8540 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4444 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 29 ms 80440 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 57692 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 9 ms 74332 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 10 ms 80476 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 20828 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 14684 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 24920 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4560 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4444 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 12 ms 80476 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4444 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 80476 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 70252 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 80476 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 12 ms 80472 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 18780 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 35164 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4696 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 4696 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 49 ms 80660 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 4700 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 39 ms 49688 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 39 ms 57944 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 49 ms 62036 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 36 ms 51792 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 38 ms 58028 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 50 ms 74488 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 13 ms 6748 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 13 ms 6748 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 419 ms 81956 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 12 ms 6748 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 563 ms 82064 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 345 ms 59060 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 447 ms 63508 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 321 ms 53056 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 309 ms 59208 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 416 ms 75656 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845