답안 #541197

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
541197 2022-03-22T17:10:03 Z Alexandruabcde 수열 (APIO14_sequence) C++14
100 / 100
825 ms 84148 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long LL;
typedef long double LD;
constexpr int NMAX = 1e5 + 5;
constexpr int KMAX = 205;

struct Dreapta {
    LL a, b;

    Dreapta (LL a_, LL b_) : a(a_), b(b_) {}

    LL operator() (LL x) {
        return x * a + b;
    }

    friend LD Intersect (const Dreapta &L1, const Dreapta &L2) {
        LD numar = L2.b - L1.b;
        LD numi = L1.a - L2.a;

        return numar / numi;
    }
};

typedef pair <Dreapta, int> PDI;

int N, K;
LL dp[NMAX][2];
LL sp[NMAX];

void Read () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    cin >> N >> K;

    for (int i = 1; i <= N; ++ i ) {
        int x;
        cin >> x;
        sp[i] = sp[i-1] + 1LL * x;
    }
}

int bef[NMAX][KMAX];

void Solve () {
    for (int j = 1; j <= K+1; ++ j ) {
        int now = (j&1), old = (now^1);

        deque <PDI> D;
        for (int i = 1; i <= N; ++ i ) {
            Dreapta aux = Dreapta(sp[i-1], dp[i-1][old] - sp[i-1] * sp[N]);

            while (D.size() >= 2 && Intersect(D[D.size()-2].first, aux) >= Intersect(D.back().first, aux))
                D.pop_back();
            D.push_back({aux, i-1});

            while (D.size() >= 2 && D.front().first(sp[i]) <= D[1].first(sp[i]))
                D.pop_front();

            dp[i][now] = D.front().first(sp[i]) + sp[i] * (sp[N] - sp[i]);
            bef[i][j] = D.front().second;
        }
    }

    cout << dp[N][((K+1)&1)] << '\n';
    int ind = N;
    for (int k = K + 1; k > 1; -- k ) {
        ind = bef[ind][k];

        cout << ind << " ";
    }
}

int main () {
    Read();
    Solve();

    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 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 340 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 0 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 1 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 0 ms 324 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 340 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 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 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 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 1 ms 340 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 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 468 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 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1180 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 8660 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8788 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 61 ms 8704 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8660 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 62 ms 8788 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 59 ms 8704 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 66 ms 8660 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 43 ms 8748 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 49 ms 8660 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 71 ms 8740 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 51 ms 83836 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 49 ms 84148 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 635 ms 84052 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 51 ms 84064 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 825 ms 84040 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 612 ms 83836 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 551 ms 84060 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 530 ms 84052 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 531 ms 83904 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 645 ms 83916 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845