답안 #92753

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
92753 2019-01-04T12:56:17 Z davitmarg 수열 (APIO14_sequence) C++17
100 / 100
1388 ms 87840 KB
/*
DEATH-MATCH
Davit-Marg
*/
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <string>
#include <cstring>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <stack>
#include <iterator>
#include <ctype.h>
#include <stdlib.h>  
#include <cassert>
#include <fstream>  
#define mod 1000000007ll
#define LL long long
#define LD long double
#define MP make_pair
#define PB push_back
using namespace std;
int n,k;
LL a[100005],pr[100005],dp[2][100005];
int nxt[202][100005];
LL sum(int l, int r)
{
	return pr[r] - pr[l - 1];
}

struct line
{
	int i;
	LL k, b;
	line(LL kk=0, LL bb=0,int ii=0)
	{
		k = kk;
		b = bb;
		i = ii;
	}
};

LL solve(line p, line q)
{
	return (q.b - p.b) / (p.k - q.k);
}


int main()
{
	cin >> n >> k;
	for (int i = 1; i <= n; i++)
	{
		cin >> a[i];
		pr[i] = pr[i - 1] + a[i];
	}

	for (int z = 1; z <= k; z++)
	{
		int i = z % 2;
		int l = !i;
		vector<line> s;
		int ans=0;
		for (int j = n; j >= 1; j--)
		{
			line add = line(pr[j], dp[l][j + 1] - pr[j] * pr[j], j);
			while (s.size() > 1 && ((s[s.size() - 1].k == add.k && add.b >= s[s.size() - 1].b) || (s[s.size() - 1].k != add.k && solve(s[s.size() - 1], add) > solve(s[s.size() - 2], add))))
				s.pop_back();
			s.PB(add);

			ans = min(ans, (int)s.size() - 1);
			LL X = pr[n] + pr[j - 1];
			while (ans < s.size()-1 && s[ans].k*X + s[ans].b <= s[ans + 1].k*X + s[ans + 1].b)
				ans++;
			dp[i][j] = s[ans].k*X + s[ans].b - pr[j - 1] * pr[n];
			nxt[z][j] = s[ans].i;
		}
	}

	cout << dp[k%2][1] << endl;
	for (int i = k,l=1; i >= 1; i--)
	{
		cout << nxt[i][l] << " ";
		l = nxt[i][l] + 1;
	}
	cout << endl;
	return 0;
}

/*

3 1
2 1 2


40 3
7 5 7 5 1 2 3 4 6 7 8 2 1 2 3 4 6 7 8 2 7 7 5 1 2 3 4 6 7 8 2 5 1 2 3 4 6 7 8 2 

7 3
4 1 3 4 0 2 3 


*/

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:77:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    while (ans < s.size()-1 && s[ans].k*X + s[ans].b <= s[ans + 1].k*X + s[ans + 1].b)
           ~~~~^~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 632 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 380 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 452 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 1400 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 376 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1148 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1404 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1400 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 632 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 424 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 632 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 508 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 2168 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 504 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 2168 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 26 ms 1912 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 21 ms 2168 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2168 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 1136 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 1112 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 122 ms 9944 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 1420 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 72 ms 6212 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 86 ms 7116 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 105 ms 7976 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 80 ms 6652 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 91 ms 7456 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 114 ms 9052 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 39 ms 9572 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 40 ms 9520 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1277 ms 87840 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 48 ms 10484 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1388 ms 87224 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 697 ms 61492 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1072 ms 68044 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 875 ms 57040 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 944 ms 63804 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1176 ms 79544 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845