답안 #543411

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
543411 2022-03-30T13:40:34 Z Sohsoh84 수열 (APIO14_sequence) C++17
100 / 100
471 ms 84628 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;

#define all(x)			(x).begin(),(x).end()
#define X			first
#define Y			second
#define sep			' '
#define endl			'\n'
#define debug(x)		cerr << #x << ": " <<  x << endl;

const ll MAXN = 1e5 + 10;
const ll INF = 8e18;

int wtf[202][MAXN];
ll dp[2][MAXN], ans, A[MAXN], n, s, tans, k, ptr;
vector<pair<pll, pll>> cht;

inline ll f(pll a, pll b) {
	if (a.X == b.X) return (a.Y <= b.Y ? -INF : INF);
	if (a.X < b.X) swap(a, b);
	return (b.Y - a.Y + (b.Y > a.Y ? (a.X - b.X - 1) : 0)) / (a.X - b.X);
}

inline void add(int ind, ll ml, ll cl) {
	pll a = {ml, cl};
	while (!cht.empty()) {
		ll x = f(cht.back().Y, a);
		if (x <= cht.back().X.X) cht.pop_back();
		else {
			cht.push_back({{x, ind}, a});
			break;
		}
	}

	if (cht.empty())
		cht.push_back({{-INF, ind}, a});
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	cin >> n >> k;
	k++;

	for (int i = 1; i <= n; i++) {
		cin >> A[i];
		tans -= A[i];
	}

	// ans -= sigma C(2, F[i])
	// ans -= F[i] * (F[i] - 1) / 2
	// tans += F[i] * F[i] - F[i]
	
	for (int c = 1; c <= k; c++) {
		int ind = c & 1;
		s = 0;

		cht.clear();
		ptr = 0;
		add(0, 0, 0);
	
		for (int i = 1; i <= n; i++) {
			s += A[i];
			while (ptr < int(cht.size()) - 1 && cht[ptr + 1].X.X <= s) ptr++;
			dp[ind][i] = s * s - (cht[ptr].Y.X * s + cht[ptr].Y.Y);
			wtf[c][i] = cht[ptr].X.Y;
			
			if (c > 1) add(i, 2 * s, -(dp[ind ^ 1][i] + s * s));
		}
	}

	tans += dp[k & 1][n];
	cout << s * (s - 1) / 2 - tans / 2 << endl;

	vector<int> vec;
	int v = n;
	while (k > 1)
		vec.push_back(v = wtf[k--][v]);
	
	reverse(all(vec));
	for (int e : vec)
		cout << e << sep;
	cout << endl;

	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 336 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 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 1 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 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 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 468 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 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 0 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 0 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 1364 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1492 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 460 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 5 ms 2004 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 468 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 2132 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 1784 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 2132 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 2132 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 1 ms 724 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 1112 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 1112 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 48 ms 9976 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 1240 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 29 ms 6232 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 38 ms 7112 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 36 ms 7660 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 30 ms 6360 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 34 ms 7124 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 44 ms 8908 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 16 ms 7500 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 7500 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 460 ms 84628 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 17 ms 7496 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 471 ms 83916 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 361 ms 60464 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 360 ms 64992 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 289 ms 54076 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 336 ms 60896 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 426 ms 76444 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845