Submission #503538

# Submission time Handle Problem Language Result Execution time Memory
503538 2022-01-08T10:26:07 Z mosiashvililuka Split the sequence (APIO14_sequence) C++14
100 / 100
967 ms 84548 KB
#include<bits/stdc++.h>
using namespace std;
long long a,b,c,d,e,i,j,ii,jj,zx,xc,k,K,B,dp[100009],dp2[100009],f[100009],jm[100009],X;
deque <pair <pair <long long, long long>, long long> > de;
int DP[100003][203];
int main(){
	ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
	cin>>a>>k;k++;
	for(i=1; i<=a; i++){
		cin>>f[i];jm[i]=jm[i-1]+f[i];
	}
	for(j=2; j<=k; j++){
		while(de.size()) de.pop_back();
		for(i=j; i<=a; i++){
			K=jm[i-1];B=dp[i-1]-jm[i-1]*jm[i-1];
			while(de.size()){
				if(de[de.size()-1].first.second<=B){
					de.pop_back();
				}else{
					break;
				}
			}
			while(de.size()>1){
				zx=(B-de[de.size()-2].first.second)*(de[de.size()-2].first.first-de[de.size()-1].first.first);
				xc=(de[de.size()-1].first.second-de[de.size()-2].first.second)*(de[de.size()-2].first.first-K);
				if(zx>xc){
					break;
				}
				de.pop_back();
			}
			de.push_back({{K,B},i-1});
			
			X=jm[i];
			while(de.size()>1){
				zx=de[0].first.first*X+de[0].first.second;
				xc=de[1].first.first*X+de[1].first.second;
				if(zx<=xc){
					de.pop_front();
				}else{
					break;
				}
			}
			dp2[i]=de[0].first.first*X+de[0].first.second;
			DP[i][j]=de[0].second;
		}
		
		for(i=1; i<=a; i++){
			dp[i]=dp2[i];dp2[i]=0;
		}
	}
	cout<<dp[a]<<"\n";
	i=a;j=k;
	while(j>1){
		i=DP[i][j];j--;
		cout<<i<<" ";
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 324 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 320 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 324 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 328 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 324 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 328 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 324 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 324 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 316 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 328 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 328 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 324 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 324 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 320 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 328 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 448 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 452 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 452 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 448 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 456 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 456 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 460 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1080 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1096 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1096 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1196 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1092 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8596 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8780 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 75 ms 8764 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8780 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 56 ms 8724 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 59 ms 8652 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 70 ms 8756 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 8652 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 63 ms 8736 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 76 ms 8704 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 59 ms 84048 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 51 ms 84164 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 763 ms 84548 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 51 ms 84488 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 967 ms 84288 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 660 ms 84044 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 697 ms 84492 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 563 ms 84448 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 645 ms 84244 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 781 ms 84296 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845