Submission #393058

# Submission time Handle Problem Language Result Execution time Memory
393058 2021-04-22T15:51:38 Z arujbansal Split the sequence (APIO14_sequence) C++17
100 / 100
1325 ms 81740 KB
#include <iostream>
#include <algorithm>
#include <vector>
#include <map>
#include <set>
#include <array>
#include <stack>
#include <queue>
#include <random>
#include <numeric>
#include <functional>
#include <chrono>
#include <utility>
#include <iomanip>
#include <assert.h>

using namespace std;

void dbg_out() { cerr << endl; }
template<typename Head, typename... Tail>
void dbg_out(Head H, Tail... T) { cerr << ' ' << H; dbg_out(T...); }
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)

#define rng_init mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define rng_seed(x) mt19937 rng(x)
#define all(x) (x).begin(), (x).end()
#define sz(x) (int) (x).size()
// #define int long long

using ll = long long;

const int MXN = 1e5 + 5;
const ll INF = 1e18;
int N, K;
int A[MXN], trace[205][MXN];
ll dp[2][MXN], pref[MXN];

void dnc(int l, int r, int i, int optl, int optr) {
    if (l > r) return;

    int cur = i & 1;

    int mid = (l + r) / 2;
    pair<ll, ll> best = {-INF, -INF};

    for (int j = optl; j < min(mid, optr + 1); j++) {
        ll new_val = dp[cur ^ 1][j] + (pref[mid] - pref[j]) * (pref[N] - pref[mid]);

        if (new_val > best.first)
            best = make_pair(new_val, j);
    }

    dp[cur][mid] = best.first;
    trace[i][mid] = best.second;

    dnc(l, mid - 1, i, optl, best.second);
    dnc(mid + 1, r, i, best.second, optr);
}

void solve() {
    cin >> N >> K;

    for (int i = 1; i <= N; i++) {
        cin >> A[i];
        pref[i] = pref[i - 1] + A[i];
    }

    for (int i = 0; i < 2; i++)
        for (int j = 0; j < MXN; j++)
            dp[i][j] = -INF;

    dp[0][0] = 0;

    for (int i = 1; i <= K; i++)
        dnc(i, N, i, i - 1, N - 1);

    pair<ll, int> best = {-INF, -INF};
    for (int j = 1; j < N; j++)
        best = max(best, make_pair(dp[K & 1][j], j));

    cout << best.first << "\n";

    int cur_k = K;
    while (cur_k && best.second) {
        cout << best.second << " ";
        best.second = trace[cur_k--][best.second];
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int TC = 1;
    // cin >> TC;
    while (TC--) solve();
}
# Verdict Execution time Memory 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 1 ms 1868 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 1868 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 1868 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1868 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1868 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1868 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1868 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1868 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1868 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1868 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1868 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 1904 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1920 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1868 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1868 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory 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 1 ms 2124 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1868 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 1868 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1868 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 1996 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 1868 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1868 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 1868 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1868 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 1868 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 2892 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1868 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 2636 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 2764 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 2892 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 2124 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 2000 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 2124 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1868 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1872 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 3532 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1868 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 3508 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 3276 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 3532 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 3540 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2260 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2572 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2124 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2124 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 57 ms 10680 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 2124 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 72 ms 7140 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 68 ms 8068 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 65 ms 8516 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 46 ms 7340 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 65 ms 8004 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 94 ms 9820 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 24 ms 4172 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 22 ms 4188 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 712 ms 81740 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 4684 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1325 ms 81440 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 821 ms 57972 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 692 ms 62272 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 518 ms 51156 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 660 ms 58196 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 858 ms 73900 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845