답안 #408918

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
408918 2021-05-19T19:32:13 Z penguinhacker 수열 (APIO14_sequence) C++14
100 / 100
1243 ms 81988 KB
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

const int mxN=1e5;
int n, k, a[mxN], last[mxN][201];
ll p[mxN+1], dp[mxN], dp2[mxN];

// p[i+1]x + dp[i] - p[i+1]*p[n]

double ix(int i, int j) {
	ll a=p[i+1], b=dp[i]-p[i+1]*p[n];
	ll c=p[j+1], d=dp[j]-p[j+1]*p[n];
	return (double)(b-d)/(c-a);
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	for (int i=0; i<n; ++i) {
		cin >> a[i];
		p[i+1]=p[i]+a[i];
	}
	for (int i=0; i<n; ++i) {
		dp[i]=p[i+1]*(p[n]-p[i+1]);
		last[i][0]=-1;
	}
	for (int i=1; i<=k; ++i) {
		deque<int> dq;
		auto Add=[&](int j) {
			if (dq.size()&&!a[j])
				return;
			while(dq.size()>=2&&ix(dq.end()[-2], j)<ix(dq.end()[-2], dq.back()))
				dq.pop_back();
			dq.push_back(j);
		};
		memcpy(dp2, dp, sizeof(dp));
		//for (int j=0; j<i; ++j)
		Add(i-1);
		for (int j=i; j<n; ++j) {
			while(dq.size()>=2&&ix(dq[0], dq[1])<p[j+1])
				dq.pop_front();
			dp2[j]=p[j+1]*(p[n]-p[j+1])+p[j+1]*p[dq[0]+1]+dp[dq[0]]-p[dq[0]+1]*p[n];
			last[j][i]=dq[0];
			//cout << i << " " << j << " " << dq[0] << "\n";
			Add(j);
		}
		memcpy(dp, dp2, sizeof(dp));
	}
	cout << dp[n-1] << "\n";
	vector<int> ans(k);
	for (int i=k, c=n-1; i; --i) {
		c=last[c][i];
		ans[i-1]=c;
	}
	for (int i : ans)
		cout << i+1 << " ";
	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1868 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 1868 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 1868 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 1868 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 1868 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 1868 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 1868 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 1868 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 1868 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 1868 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 1868 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 1868 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 1868 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 1868 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 1868 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 1868 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 1868 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1868 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 1868 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 1868 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 1868 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 1868 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 1868 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 1868 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 1868 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 1868 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 1868 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 1996 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 1996 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 16 ms 2052 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1996 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 12 ms 2056 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 15 ms 2056 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 16 ms 2056 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 2100 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 1996 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 6 ms 1988 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2636 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 2636 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 27 ms 2696 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2636 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 26 ms 2636 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 22 ms 2692 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 27 ms 2636 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 26 ms 2756 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 2700 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 12 ms 2700 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 9800 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 8 ms 9796 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 133 ms 9804 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 9804 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 82 ms 9900 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 91 ms 9872 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 112 ms 9876 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 86 ms 9924 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 92 ms 9804 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 118 ms 9884 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 62 ms 81860 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 60 ms 81896 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1203 ms 81912 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 64 ms 81920 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1243 ms 81856 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 844 ms 81960 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1039 ms 81912 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 796 ms 81928 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 833 ms 81988 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1067 ms 81860 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845