Submission #531871

# Submission time Handle Problem Language Result Execution time Memory
531871 2022-03-01T18:37:31 Z new_acc Split the sequence (APIO14_sequence) C++14
100 / 100
814 ms 82012 KB
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef vector<ll> vi;
typedef vector<ll> vl;
const int N=1e5+10;
deque<int>deq;
ll dp[N],dp2[N];
int sp[N],t[N];
int bb[N][201];
ll wz(int j,int i){
	return dp[j]-(ll)sp[j]*(ll)sp[j]+(ll)sp[j]*(ll)sp[i];
}
long double prz(int x,int y){
	ll b1=dp[x]-(ll)sp[x]*(ll)sp[x];
	ll a1=sp[x];
	ll b2=dp[y]-(ll)sp[y]*(ll)sp[y];
	ll a2=sp[y];
	if(a1==a2) return 1e18;
	return (long double)(b2-b1)/(long double)(a1-a2);
}
void del(int i){
	while(deq.size()>1){
		int p=deq.front();
		deq.pop_front();
		int d=deq.front();
		if(wz(p,i)>wz(d,i)){
			deq.push_front(p);
			break;
		}
	}
}
void dod(int i){
	while(deq.size()>1){
		int p=deq.back();
		deq.pop_back();
		int d=deq.back();
		if(prz(p,i)==1e18){
			if(dp[p]-(ll)sp[p]*(ll)sp[p]>=dp[i]-(ll)sp[i]*(ll)sp[i]){
				deq.push_back(p);
				return;
			}
			continue;
		}else{
			if(prz(p,i)>prz(d,i)){
				deq.push_back(p);
				break;
			}
		}
	}
	deq.push_back(i);
}
void solve(){
	int n,k;
	cin>>n>>k;
	for(int i=1;i<=n;i++){
		cin>>t[i];
		sp[i]=sp[i-1]+t[i];
	}
	deq.push_back(0);
	for(int j=1;j<=k;j++){
		for(int i=1;i<=n;i++){
			del(i);
			dp2[i]=wz(deq.front(),i);
			bb[i][j]=deq.front();
			dod(i);
		}
		for(int i=1;i<=n;i++) dp[i]=dp2[i];
		deq.clear();
	}
	cout<<dp[n]<<"\n";
	int curr=n;
	for(int i=k;i>=1;i--){
		curr=bb[curr][i];
		cout<<curr<<" ";
	}
	cout<<"\n";
}
int main(){
	solve();
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 300 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 204 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 204 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 296 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 204 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 204 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 204 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 304 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 204 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 204 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 296 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 484 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 428 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1068 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1064 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 1136 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1060 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1064 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8380 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8396 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 8476 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8396 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 49 ms 8460 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 54 ms 8396 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 62 ms 8492 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 47 ms 8472 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 52 ms 8396 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 64 ms 8396 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 58 ms 81564 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 57 ms 81588 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 713 ms 82012 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 66 ms 81920 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 814 ms 81704 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 582 ms 81664 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 640 ms 81984 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 499 ms 81860 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 536 ms 81860 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 689 ms 81904 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845