답안 #586657

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
586657 2022-06-30T13:55:59 Z Alan 수열 (APIO14_sequence) C++17
100 / 100
631 ms 81844 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
 
ll dp[2][100005], ps[100005];
int p[205][100005];
 
struct line {
	ll idx, m, c;
	ll cal (ll x) {return m*x + c;}
	ld sectx (line l) {return (ld) (l.c-c) / (m-l.m);}
};
 
int main () {
	int n, k, a;
	cin >> n >> k;
	for (int i = 1; i <= n; i++) cin >> a, ps[i] = ps[i-1] + a;
	deque<line> d;
	for (int j = 1; j <= k; j++) {
		d.push_back({0, 0, 0});
		for (int i = 1; i <= n; i++) {
			while ((int) d.size() >= 2 && d.back().cal(ps[i]) <= d.end()[-2].cal(ps[i])) d.pop_back();
			dp[j&1][i] = d.back().cal(ps[i]) + ps[i]*ps[n] - ps[i]*ps[i];
			p[j][i] = d.back().idx;
			line now = {i, ps[i], dp[~j&1][i] - ps[i]*ps[n]};
			while ((int) d.size() >= 2 && ((now.m == d[0].m && now.c >= d[0].c) || now.sectx(d[0]) <= d[0].sectx(d[1]))) d.pop_front();
			d.push_front(now);
		}
		d.clear();
	}
	auto iter = max_element(dp[k&1]+k, dp[k&1]+n+1);
	cout << *iter << "\n";
	vector<int> path {iter-dp[k&1]};
	for (int i = k; i > 0; i--) path.push_back(p[i][path.back()]);
	for (int i = k-1; i >= 0; i--) cout << path[i] << " ";
	cout << "\n";

	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:34:24: warning: narrowing conversion of '((iter - ((ll*)(& dp[(k & 1)]))) <unknown operator> 8)' from 'long int' to 'int' [-Wnarrowing]
   34 |  vector<int> path {iter-dp[k&1]};
      |                    ~~~~^~~~~~~~
sequence.cpp:34:24: warning: narrowing conversion of '((iter - ((ll*)(& dp[(k & 1)]))) <unknown operator> 8)' from 'long int' to 'int' [-Wnarrowing]
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 212 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 212 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 212 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 212 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 212 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 468 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 340 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1364 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1108 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1236 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 596 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 1972 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 2072 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 1748 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 2004 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 2004 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 596 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 724 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 852 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 47 ms 9396 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 724 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 44 ms 5984 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 46 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 48 ms 7216 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 46 ms 5944 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 38 ms 6768 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 49 ms 8552 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 4772 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 5016 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 495 ms 81844 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 36 ms 4940 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 631 ms 81692 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 401 ms 58344 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 496 ms 62256 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 355 ms 51312 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 344 ms 58376 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 548 ms 74104 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845