Submission #670218

# Submission time Handle Problem Language Result Execution time Memory
670218 2022-12-08T10:14:40 Z yyhjin12 Split the sequence (APIO14_sequence) C++17
100 / 100
474 ms 82784 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
typedef tuple<ll, ll, double, ll> t;

int N, K;
vector<ll> psum;

double intersect(t L1, t L2) {
    return (get<1>(L2)-get<1>(L1))/(get<0>(L1)-get<0>(L2));
}

int main() {
    ios::sync_with_stdio(false); cin.tie(NULL);
    cin >> N >> K; psum.resize(N);
    for (auto &i: psum) cin >> i;
    for (int i=1; i<N; i++) psum[i] = psum[i-1] + psum[i];

    int prev[K][N];
    ll DP[2][N];
    t g;
    
    fill(&prev[0][0], &prev[K-1][N], 0);
    fill(&DP[0][0], &DP[1][N], 0);

    for (int k=0; k<K; k++) {
        deque<t> F; F.push_front(t(0, ll(-1e14), -1, -1));
        for (int i=k+1; i<N; i++) {
            g = t(psum[i-1], DP[(k%2)^1][i-1]-(psum[i-1]*psum[i-1]), 0, i-1);
            if (get<0>(F.back()) == get<0>(g) && get<1>(F.back()) < get<1>(g)) {
                F.pop_back();
                while (!F.empty()) {
                    g = t(get<0>(g), get<1>(g), intersect(F.back(), g), get<3>(g));
                    if (get<2>(F.back()) < get<2>(g)) break;
                    F.pop_back();
                }
                F.push_back(g);
            }
            else if (get<0>(F.back()) != get<0>(g)) {
                while (!F.empty()) {    
                    g = t(get<0>(g), get<1>(g), intersect(F.back(), g), get<3>(g));
                    if (get<2>(F.back()) < get<2>(g)) break;
                    F.pop_back();
                }
                F.push_back(g);
            }

            ll X = psum[i];
            while (F.size() > 1 && get<2>(F.at(1)) < X) F.pop_front();
            DP[k%2][i] = get<0>(F.front()) * X + get<1>(F.front());
            prev[k][i] = get<3>(F.front());
        }
    }

    cout << DP[(K-1)%2][N-1] << '\n';

    int temp = N-1, q = K-1;
    vector<int> L;
    while (q>=0) {
        L.push_back(prev[q][temp]+1);
        temp = prev[q--][temp];
    }
    sort(L.begin(), L.end());
    for (auto &i: L) cout << i << ' ';
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 1 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 212 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 212 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 320 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 320 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 316 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 212 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 212 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 212 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 212 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 212 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 212 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 212 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 212 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 212 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 320 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 212 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 212 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 324 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 212 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 212 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 212 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 212 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 324 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 340 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 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 340 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 320 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 340 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory 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 1148 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 980 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 444 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 596 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 724 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 932 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 40 ms 8532 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 844 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 30 ms 5460 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 37 ms 6288 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 37 ms 6612 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 28 ms 5532 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 32 ms 6100 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 39 ms 7764 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 14 ms 5204 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 14 ms 5520 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 410 ms 82772 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 15 ms 5708 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 474 ms 82784 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 330 ms 58916 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 363 ms 63188 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 282 ms 52300 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 287 ms 59184 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 375 ms 74828 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845