Submission #949501

# Submission time Handle Problem Language Result Execution time Memory
949501 2024-03-19T09:50:18 Z PM1 Split the sequence (APIO14_sequence) C++17
100 / 100
548 ms 83608 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int mxn=1e5+5,mxk=205;
int n,k,aa[mxn];
int par[mxn][mxk];
ll dp[mxn][2],pre[mxn],ans;
deque<int>cht;
bool comp(int x,int y,ll w,bool z){
	ll xx=(-pre[x])*w+dp[x][z],yy=(-pre[y])*w+dp[y][z];
	return xx>yy;
}
bool cmp(int x,int y,int w,bool z){
	return (dp[w][z]-dp[y][z])*(pre[y]-pre[x])<(dp[y][z]-dp[x][z])*(pre[w]-pre[y]);
}
int main(){
	cin>>n>>k;
	for(int i=1;i<=n;i++){
		cin>>aa[i];
		pre[i]=pre[i-1]+aa[i];
	}
	for(int i=1;i<=n;i++){
		dp[i][1]=pre[i]*(pre[n]-pre[i]);
	}
	for(int j=2;j<=k;j++){
		bool y=j&1;
		cht.push_back(j-1);
		for(int i=j;i<n;i++){
			//ax+b
			ll x=pre[n]-pre[i];
			while(cht.size()>1 && !comp(cht[0],cht[1],x,y^1))cht.pop_front();
			ll a=-pre[cht[0]],b=dp[cht[0]][y^1];
			dp[i][y]=a*x+b+pre[i]*x;
			par[i][j]=cht[0];
			while(cht.size()>1 && !cmp(cht[cht.size()-2],cht.back(),i,y^1))cht.pop_back();
			cht.push_back(i);
			
		}//cout<<'\n';
		cht.clear();
	}
	for(int i=1;i<n;i++){
		int y=k&1;
		if(dp[i][y]>=dp[ans][y])ans=i;
	}
	cout<<dp[ans][k&1]<<'\n';
	vector<int>v;
	while(ans!=0){
		v.push_back(ans);
		ans=par[ans][k];
		k--;
	}
	reverse(v.begin(),v.end());
	for(auto i:v){
		cout<<i<<" ";
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 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 4444 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4440 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 4440 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 4440 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 4444 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 4444 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 4444 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4440 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4440 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 4444 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4548 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4440 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 4444 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 4444 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 4444 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 4444 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 4444 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 4644 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4444 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 4444 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4440 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 4440 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 4444 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 4568 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 4444 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 4568 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 4444 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10584 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 10840 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 39 ms 10588 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 10844 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 32 ms 10844 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 34 ms 10584 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 39 ms 10844 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 27 ms 10840 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 33 ms 10584 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 40 ms 10844 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 83540 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 83548 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 393 ms 83608 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 31 ms 83500 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 548 ms 83548 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 416 ms 83356 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 398 ms 83604 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 291 ms 83600 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 318 ms 83580 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 417 ms 83544 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845