답안 #110885

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
110885 2019-05-12T17:32:44 Z aleksam 수열 (APIO14_sequence) C++14
100 / 100
973 ms 81016 KB
//Apio 14 sequence
#include <bits/stdc++.h>
#define INF INT_MAX
#define MOD 100000007
#define MAX_N 100005
#define MAX_K 205
using namespace std;
 
int mg;
int N, K, a[MAX_N];
long long dpk[MAX_N], dpk1[MAX_N];
int sc[MAX_K][MAX_N];
 
int main(){
	ios::sync_with_stdio(false);
	cin>>N>>K;
	if(N>10000)mg=20;
	else mg=75;
	for(int i=0; i<N; ++i){
		cin>>a[i];
	}
	long long s=0;
	for(int i=N-1; i>=0; --i){
		s+=a[i];
		dpk[i]=s*s;
		sc[0][i]=N;
	}
	for(int k=1; k<=K; ++k){
		for(int i=0; i<N; ++i)dpk1[i]=dpk[i];
		s=a[N-k-1];
		dpk[N-k-1]=dpk1[N-k]+s*s;
		sc[k][N-k-1]=N-k;
		int scc=N-k;
		
		for(int i=N-k-2; i>=0; --i){
			s+=a[i];
			bool b=0;
			long long sp=0;
			for(int j=1; j<mg; ++j){
				sp+=a[scc-j];
				b=b||(scc>i+j && (s-sp)*(s-sp)+dpk1[scc-j]<=s*s+dpk1[scc]);
				if(b)break;
			}
				//(scc>i+1 && (s-a[scc-1])*(s-a[scc-1])+dp[k-1][scc-1] <= s*s+dp[k-1][scc] )
			while(b){
				scc--;
				s-=a[scc];
				b=0;
				sp=0;
				for(int j=1; j<mg; ++j){
					sp+=a[scc-j];
					b=b||(scc>i+j && (s-sp)*(s-sp)+dpk1[scc-j]<=s*s+dpk1[scc]);
					if(b)break;
				}
			}
			dpk[i]=s*s+dpk1[scc];
			sc[k][i]=scc;
		}
	}
	s=0;
	for(int i=0; i<N; ++i)s+=a[i];
	cout<<(s*s-dpk[0])/2<<endl;
	int cur=0;
	for(int i=0; i<K; ++i){
		cout<<sc[K-i][cur]<<" ";
		cur=sc[K-i][cur];
	}
	return 0;
}
 
/*
7 3
4 1 3 4 0 2 3
*/
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 3 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 3 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 3 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 3 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 19 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 23 ms 2040 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 17 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 20 ms 2056 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 19 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 11 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 254 ms 9364 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 9 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 151 ms 5752 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 175 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 215 ms 7032 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 170 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 197 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 220 ms 8560 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 3840 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 3836 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 947 ms 81008 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 3836 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 973 ms 81016 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 570 ms 57592 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 692 ms 61560 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 603 ms 50552 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 539 ms 57480 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 742 ms 73208 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845