Submission #446186

# Submission time Handle Problem Language Result Execution time Memory
446186 2021-07-21T07:46:22 Z nishuz Split the sequence (APIO14_sequence) C++17
100 / 100
1443 ms 81840 KB
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2")
 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
 
#define ll long long
#define ld long double
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define pb push_back
#define eb emplace_back
#define F first
#define S second
#define mp make_pair
#define random mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
 
template <typename T> using oset = tree <pair <T, T>, null_type, less <pair <T, T>>, rb_tree_tag, tree_order_statistics_node_update>;
 
template <typename Container>
void Print(Container& container, int starting) {
    auto Start = container.begin() + starting, End = container.end();
    while (Start != End) cout << *(Start++) << " ";
    cout << '\n';
}
 
template <typename T>
void print(T&& t) {cout << t << '\n';}
 
template <typename T, typename... Args>
void print(T&& t, Args&&... args) {
    cout << t << " ";
    print(forward<Args>(args)...);
}

const int32_t MAXN = 1e5 + 5, MAXK = 205;
int64_t a[MAXN], dp[2][MAXN], n;
int32_t par[MAXK][MAXN];

void compute(int32_t l, int32_t r, int32_t optl, int32_t optr, int32_t k)
{
    if (l > r) return;
    int32_t mid = (l + r) >> 1, row = k & 1;
    pair <int64_t, int64_t> best = make_pair(-1, -1);
    for (int64_t i = optl; i < min(mid, optr + 1); ++i) best = max(best, make_pair(dp[row ^ 1][i] + (a[n] - a[mid]) * (a[mid] - a[i]), i));
    dp[row][mid] = best.first;
    par[k][mid] = best.second;
    int64_t opt = best.second;
    compute(l, mid - 1, optl, opt, k);
    compute(mid + 1, r, opt, optr, k);
}

inline void solve() {
    int32_t k;
    cin >> n >> k;
    memset(a, 0, sizeof a);
    for (int32_t i = 1; i <= n; ++i) {
        cin >> a[i];
        a[i] += a[i - 1];
    }
    for (int32_t i = 0; i <= k; ++i) {
        for (int32_t j = 0; j <= n; ++j) {
            par[i][j] = -1;
        }
    }
    for (int32_t i = 0; i <= n; ++i) {
        dp[0][i] = dp[1][i] = -1;
    }
    dp[0][0] = 0;
    for (int32_t i = 1; i <= k; ++i) {
        compute(0, n - 1, 0, n - 1, i);
    }
    pair <int64_t, int32_t> ans = mp(-1, -1);
    for (int32_t i = 1; i <= n; ++i) {
        ans = max(ans, mp(dp[k & 1][i], i));
    }
    print(ans.F);
    vector <int32_t> seq(k + 1);
    int32_t cur = k;
    while (k && ans.S != -1) {
        seq[cur--] = ans.S;
        assert(ans.S >= 1 && ans.S <= n);
        ans.S = par[k--][ans.S];
    }
    Print(seq, 1);
}
 
int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int T = 1;
    // cin >> T;
    for (int test = 1; test <= T; ++test) {
        // cout << "Case #" << test << ": ";
        solve();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 1100 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1100 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 1100 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 1100 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1100 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1100 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1100 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1100 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1100 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1100 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1100 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1100 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1100 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1100 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1100 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1100 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 1100 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 1356 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1100 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 1100 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1100 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 1228 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 1100 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1100 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 1100 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 1100 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2124 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1100 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1868 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1996 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 2124 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 1356 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 1228 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 1356 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2764 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2764 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 2508 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2764 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 2764 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1356 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1740 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 1356 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 52 ms 10060 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1356 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 77 ms 6476 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 83 ms 7436 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 61 ms 7884 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 40 ms 6604 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 62 ms 7372 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 79 ms 9144 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 4172 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 24 ms 4172 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 623 ms 81840 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 21 ms 4684 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1443 ms 81632 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 853 ms 58040 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 636 ms 62236 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 444 ms 51172 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 640 ms 58124 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 832 ms 73852 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845