Submission #240883

# Submission time Handle Problem Language Result Execution time Memory
240883 2020-06-21T11:16:41 Z kshitij_sodani Split the sequence (APIO14_sequence) C++17
100 / 100
1260 ms 82404 KB
#include <bits/stdc++.h>
using namespace std;
typedef int64_t llo;
#define mp make_pair
#define pb push_back
#define a first 
#define b second
//#define endl '\n'
llo n,k;
llo dp[100001];
llo dp2[100001];
llo pre[100001];
llo it[100001];
int back[202][100001];
llo cur=0;
void find(llo l,llo r,llo aa,llo bb){
 
	llo mid=(l+r)/2;
	pair<llo,llo> best={-1,-1};
 
	for(llo i=aa;i<=min(bb,mid-1);i++){
	//	cout<<i<<"<"<<dp[i]<<","<<pre[mid]<<":"<<pre[i]<<endl;
		llo cost=dp[i]+(pre[mid]-pre[i])*(pre[i]);
		if(cost>best.a){
			best={cost,i};
		}
	}
	//cout<<mid<<","<<best.a<<","<<best.b<<","<<aa<<","<<bb<<endl;
	dp2[mid]=best.a;
	back[cur][mid]=best.b;
	if(l<mid){
		find(l,mid-1,aa,best.b);
	}
	if(mid<r){
		find(mid+1,r,best.b,bb);
	}
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n>>k;
	for(llo i=0;i<n;i++){
		cin>>it[i];
	}
	pre[0]=it[0];
	for(llo i=1;i<n;i++){
		pre[i]=pre[i-1]+it[i];
	}
 
	for(llo i=0;i<n;i++){
		dp[i]=0;
	}
 
	for(llo i=1;i<k+1;i++){
		cur+=1;
		find(i,n-1,i-1,n-1);
		for(llo j=0;j<n;j++){
			dp[j]=dp2[j];
		//	cout<<dp[j]<<" ";
		}
		//cout<<endl;
 
	}
	cout<<dp[n-1]<<endl;
	//vector<llo> ans;
	int la=n;
	for(llo i=k-1;i>=0;i--){
 
	//	ans.pb(back[i+1][ans.back()-1]+1);
		la=back[i+1][la-1]+1;
		cout<<la<<" ";
	}
/*
	for(llo j=k;j>0;j--){
 
		cout<<ans[j]<<" ";
	}*/
	cout<<endl;
 
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 2100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 512 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 896 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 55 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 896 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 69 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 67 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 61 ms 7288 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 41 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 62 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 79 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 30 ms 4736 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 4608 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 517 ms 82404 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 23 ms 5112 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1260 ms 81912 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 754 ms 58488 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 590 ms 62712 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 423 ms 51576 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 592 ms 58616 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 753 ms 74360 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845