답안 #142533

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
142533 2019-08-09T11:28:17 Z meatrow 수열 (APIO14_sequence) C++17
100 / 100
585 ms 83820 KB
//#pragma GCC optimize("O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,tune=native")
//#pragma GCC optimize ("unroll-loops")
#include <bits/stdc++.h>
 
using namespace std;
 
using ll = long long;
using ld = long double;
 
const int mod = 1e9 + 7;
const int N = 1e5 + 5;
const int K = 205;


struct line {
	ll a;
    ll b;
    int pos;
};
struct CHT {
	int last,top;
	line ln[N];
	inline bool Check(line& a,line& b,line& c) {
		return (ld)(a.b-b.b)*(c.a-b.a)<(ld)(b.b-c.b)*(b.a-a.a);
	}
	inline bool Check2(line& a,line& b,int x) {
		return (ll)x*(b.a-a.a)<a.b-b.b;
	}
	void insert(line u) {
		if(top&&ln[top-1].a==u.a&&ln[top-1].b>=u.b) return;
		while(top>=2&&!Check(ln[top-2],ln[top-1],u)) top--;
		ln[top++]=u;
	}
	line query(int x) {
		last=min(last,top-1);
		while(last+1<top&&!Check2(ln[last],ln[last+1],x))last++;
		return ln[last];
	}
	void clear() {
		last=0; top=0;
	}
}cht;

ll pref[N];
ll dp[2][N];
int way[K][N];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int n, k;
    cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> pref[i];
        pref[i] += pref[i - 1];
    }
    for (int i = 1; i <= k; i++) {
        int v = (i - 1) & 1;
        cht.clear();
        cht.insert({ pref[i], dp[v][i] - pref[i] * pref[i], i });
        for (int j = i + 1; j <= n; j++) {
            auto p = cht.query(pref[j]);
            dp[v ^ 1][j] = p.a * pref[j] + p.b;
            way[i][j] = p.pos;
            cht.insert({ pref[j], dp[v][j] - pref[j] * pref[j], j });
        }
    }
    cout << dp[k & 1][n] << '\n';
    int kek = n;
    vector<int> ans;
    for (int i = k; i > 0; i--) {
        ans.push_back(way[i][kek]);
        kek = way[i][kek];
    }
    reverse(ans.begin(), ans.end());
    for (int i : ans) {
        cout << i << ' ';
    }
    return 0;
}
# 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 3 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 3 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 2 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 2 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 380 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 504 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 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 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 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 1144 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1272 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 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 504 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 376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2040 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 504 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 2072 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1784 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2040 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2040 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 888 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 888 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 42 ms 9564 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 1016 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 38 ms 6008 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 44 ms 6904 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 46 ms 7356 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 31 ms 6136 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 35 ms 6908 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 43 ms 8688 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 5752 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 20 ms 5752 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 382 ms 83820 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 6648 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 585 ms 83140 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 362 ms 59644 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 452 ms 64248 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 303 ms 53112 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 308 ms 60152 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 389 ms 75616 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845