Submission #108133

# Submission time Handle Problem Language Result Execution time Memory
108133 2019-04-27T15:19:09 Z maruii Split the sequence (APIO14_sequence) C++14
100 / 100
594 ms 85880 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define ff first
#define ss second

int A[100001], S[100001];
ll dp[2][100001];
pair<int, ll> line[2][100001];
int cnt[2], idx[2][100001];
int pre[201][100001];

inline ll f(int t, int i, int x){
	return 1ll * line[t][i].ff * x + line[t][i].ss;
}
inline double crs(pair<int, ll> x, pair<int, ll> y){
	return (double)(y.ss - x.ss) / (x.ff - y.ff);
}

int main(){
	ios_base::sync_with_stdio(0), cin.tie(0);
	int N, K; cin>>N>>K;
	for(int i=0; i<N; ++i) cin>>A[i];
	S[0] = A[0];
	for(int i=1; i<N; ++i) S[i] = S[i-1] + A[i];

	idx[1][1] = N;
	for(int k=0; k<=K; ++k){
		int t = k&1;
		cnt[t] = 0;
		idx[!t][cnt[!t]] = N;
		for(int i=k, j=0; i<N; ++i){
			while(idx[!t][j+1] < i && f(!t, j, S[i]) <= f(!t, j+1, S[i])) ++j;
			dp[t][i] = f(!t, j, S[i]);
			pre[k][i] = idx[!t][j];
			pair<int, ll> newLine = {S[i], dp[t][i]-1ll*S[i]*S[i]};
			while(cnt[t] > 1 && crs(line[t][cnt[t]-1], line[t][cnt[t]-2]) >= crs(line[t][cnt[t]-2], newLine)) --cnt[t];
			idx[t][cnt[t]] = i;
			line[t][cnt[t]++] = newLine;
		}
	}

	vector<int> ans;
	for(int i=N-1, cnt=K; cnt; --cnt) ans.push_back(i = pre[cnt][i]);
	reverse(ans.begin(), ans.end());
	cout<<dp[K&1][N-1]<<'\n';
	for(auto i: ans) cout<<i+1<<' ';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 3 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 3 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 3 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 512 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 1536 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 768 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 512 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2096 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 512 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 2176 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1920 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2176 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1152 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 1152 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 39 ms 9724 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 1152 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 33 ms 6264 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 37 ms 7032 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 38 ms 7604 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 32 ms 6392 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 35 ms 7160 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 37 ms 8824 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 24 ms 7360 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 23 ms 7552 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 338 ms 85880 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 8704 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 594 ms 84856 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 367 ms 61008 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 448 ms 66168 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 282 ms 55108 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 303 ms 61816 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 354 ms 77404 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845