Submission #31124

# Submission time Handle Problem Language Result Execution time Memory
31124 2017-08-10T10:17:30 Z tatatan Split the sequence (APIO14_sequence) C++11
50 / 100
109 ms 131072 KB
#include <bits/stdc++.h>
#define mp make_pair
#define pb push_back
#define pii pair<LL,LL>
#define LL long long
#define st first
#define nd second
#define endl '\n'
using namespace std;

const int MAXN=100005,MAXK=201;
LL n,k,sum[MAXN],t,pnt[MAXK],val[MAXK];
int used[MAXN][MAXK];
vector<pair<pii,int> > line[MAXK];

double inter(pii a,pii b) {
	
	if(a.st==b.st)
		return -1e9;
	return 1.0*(b.nd-a.nd)/(a.st-b.st);

}

void upd(int x,LL val) {

	while(pnt[x]+1<line[x].size()&&inter(line[x][pnt[x]].st,line[x][pnt[x]+1].st)<=1.0*val)
		++pnt[x];

}

void add(int x,pii ll,int y) {

	while(line[x].size()>=2&&inter(line[x].back().st,line[x][line[x].size()-2].st)>=inter(ll,line[x].back().st)) 
		line[x].pop_back();
	line[x].pb(mp(ll,y));
	pnt[x]=min(pnt[x],(LL)line[x].size()-1);

}

int main() {

	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin>>n>>k;
	for(int i=1;i<=n;++i) {
		cin>>t;
		sum[i]=sum[i-1]+t;
	}
	for(int i=1;i<=n;++i) {
		for(int j=1;j<min((LL)i,k+1);++j){
			upd(j-1,sum[i]);
			val[j]=line[j-1][pnt[j-1]].st.st*sum[i]+line[j-1][pnt[j-1]].st.nd;
			//cout<<i<<" "<<j<<" "<<val[j]<<" "<<line[j-1][pnt[j-1]].nd<<" "<<sum[i]<<" "<<-sum[i]*sum[i]+val[j]<<endl;
			used[i][j]=line[j-1][pnt[j-1]].nd;
		}
		for(int j=1;j<min((LL)i,k+1);++j)
			add(j,mp(sum[i],-sum[i]*sum[i]+val[j]),i);
		add(0,mp(sum[i],-sum[i]*sum[i]),i);
	}
	cout<<val[k]<< endl;
	int cur=n;
	for(int i=k;i>=1;--i) {
		cur=used[cur][i];
		cout<<cur<<" ";
	}
	cout<<endl;

}

Compilation message

sequence.cpp: In function 'void upd(int, long long int)':
sequence.cpp:26:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while(pnt[x]+1<line[x].size()&&inter(line[x][pnt[x]].st,line[x][pnt[x]+1].st)<=1.0*val)
                ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 81488 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 81488 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 81488 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 81488 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 81488 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 81488 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 81488 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 81488 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 81488 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 81488 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 81488 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 81488 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 81488 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 81488 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 81488 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 81488 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 81488 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 81488 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 81488 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 81488 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 81488 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 81488 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 81488 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 81488 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 81488 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 81488 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 81488 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 81488 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 81488 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 82152 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 81488 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 82016 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 82020 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 82152 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 81756 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 81620 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 81752 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 81624 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 81636 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 86308 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 81636 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 86596 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 3 ms 85760 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 13 ms 86592 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 86308 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 82600 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 83556 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 82584 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 82584 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Memory limit exceeded 109 ms 131072 KB Memory limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 29 ms 95364 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 43 ms 95364 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Memory limit exceeded 103 ms 131072 KB Memory limit exceeded
4 Halted 0 ms 0 KB -