답안 #981782

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
981782 2024-05-13T14:53:28 Z Halym2007 수열 (APIO14_sequence) C++17
100 / 100
694 ms 84564 KB
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
#define ll long long
#define sz size()
#define pb push_back
ll p[N], a[N], n, k, dp[N];
int par[N][205];
//CHT means convex hull trick
struct CHT {
	ll m, c;
	int idx;
	ll get (ll x) {	
		return m * x + c;
	}
	long double intersect (CHT x) {
		return (long double)(x.c - c) / (long double)(m - x.m);
	}
};

int main () {
//	freopen ("input.txt", "r", stdin);
	cin >> n >> k;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i];
		p[i] = p[i - 1] + a[i];
	}
	for (int i = 1; i <= k; ++i) {
		deque <CHT> d;
		d.pb ({p[i], dp[i] - p[i] * p[i], i});
		for (int j = i + 1; j <= n; ++j) {
			while ((int)d.sz >= 2 and d[0].get (p[j]) <= d[1].get (p[j])) d.pop_front();
			ll aa = d[0].get (p[j]);
			CHT tr = {p[j], dp[j] - p[j] * p[j],  j};
			par[j][i] = d[0].idx;
			while ((int)d.sz >= 2 and tr.intersect(d[(int)d.sz - 2]) <= d.back().intersect(d[(int)d.sz - 2])) d.pop_back();
			d.pb (tr);
			dp[j] = aa;
		}
		
	}
	cout << dp[n] << "\n";
	int idx = par[n][k];
	int val = k;
	while (idx) {
		val--;
		cout << idx << " ";
		idx = par[idx][val];
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2404 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 2396 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 2644 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 2396 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2648 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2392 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 2396 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 2396 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2396 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 2396 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 2396 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 2648 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2488 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 2396 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 2396 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 2396 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 2492 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 2396 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 2396 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 2396 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 2396 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 2396 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 2652 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 2652 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2904 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 2652 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 2488 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 2652 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 2528 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 2652 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 2652 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4700 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4540 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 4700 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4700 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 4700 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 4732 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 4956 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 4700 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 4700 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 4700 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 10840 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 10844 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 53 ms 10844 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 10844 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 43 ms 11016 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 45 ms 10840 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 48 ms 10844 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 37 ms 11020 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 42 ms 11164 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 61 ms 11004 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 52 ms 84216 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 32 ms 84064 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 577 ms 84564 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 35 ms 84304 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 694 ms 84340 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 514 ms 83804 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 521 ms 84308 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 407 ms 84508 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 482 ms 84412 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 619 ms 84256 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845