Submission #365168

# Submission time Handle Problem Language Result Execution time Memory
365168 2021-02-11T04:26:36 Z YJU Split the sequence (APIO14_sequence) C++14
100 / 100
998 ms 83832 KB
#include<bits/stdc++.h>
#pragma GCC optimize("unroll-loops,no-stack-protector,Ofast")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll MOD=1e9+7;
const ll MOD2=998244353;
const ll N=1e5+5;
const ll K=2e2+5;
const ld pi=acos(-1);
const ll INF=(1LL<<60);
#define SQ(i) ((i)*(i))
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define setp setprecision
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()

ll dp[2][N],n,k,u[N];
int from[K][N];
vector<ll> ans;

deque<pair<pll,ll> > dq;

int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	cin>>n>>k;
	REP1(i,n)cin>>u[i],u[i]+=u[i-1];
	REP1(i,n)dp[0][i]=-INF;
	dp[0][0]=0;
	REP1(T,k+1){
		dq.clear();
		dq.pb(mp(mp(0,dp[(T-1)&1][0]),0));
		REP1(i,n){
			while(SZ(dq)>1&&dq[0].X.X*u[i]+dq[0].X.Y<=dq[1].X.X*u[i]+dq[1].X.Y)dq.pop_front();
			
			dp[T&1][i]=dq[0].X.X*u[i]+dq[0].X.Y;
			from[T][i]=dq[0].Y;
			
			ll a=u[i],b=dp[(T-1)&1][i]-u[i]*u[i];
			while(SZ(dq)>1){
				ll m=SZ(dq)-1;
				if((b-dq[m].X.Y)*(dq[m-1].X.X-dq[m].X.X)<=(dq[m].X.Y-dq[m-1].X.Y)*(dq[m].X.X-a))dq.pop_back();
				else break;
			}
			dq.pb(mp(mp(a,b),i));
		}
	}
	cout<<dp[(k+1)&1][n]<<"\n";
	for(int T=k+1,i=n;T>=1&&from[T][i];T--){
		ans.pb(i=from[T][i]);
	}
	reverse(ans.begin(),ans.end());
	REP(i,k)cout<<ans[i]<<(i==k-1?"\n":" ");
	return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1516 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 364 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1388 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1516 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 748 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 492 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 2156 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 492 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 2156 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1900 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2156 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2172 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1132 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 876 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1004 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 77 ms 9604 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 1004 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 62 ms 6124 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 66 ms 7020 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 7404 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 6252 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 59 ms 7020 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 77 ms 8812 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 5204 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 6220 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 764 ms 83832 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 6640 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 998 ms 83564 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 688 ms 60076 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 683 ms 64240 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 555 ms 53236 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 590 ms 60388 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 753 ms 75932 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845