Submission #113078

# Submission time Handle Problem Language Result Execution time Memory
113078 2019-05-23T14:05:32 Z dolphingarlic Split the sequence (APIO14_sequence) C++14
71 / 100
271 ms 131072 KB
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#define FOR(i, x, y) for (ll i = x; i < y; i++)
typedef long long ll;
using namespace std;

ll n, k;
pair<ll, ll> dp[201][100001];
ll pref[100001]{0};

bool case1(ll x, ll y, ll i, ll indx) {
    return (dp[indx][y].first - dp[indx][x].first >=
            (pref[y] - pref[x]) * (pref[n] - pref[i]));
}

bool case2(ll x, ll y, ll i, ll indx) {
    return ((dp[indx][y].first - dp[indx][x].first) * (pref[i] - pref[y]) <=
            (dp[indx][i].first - dp[indx][y].first) * (pref[y] - pref[x]));
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> n >> k;
    FOR(i, 1, n + 1) {
        ll x;
        cin >> x;
        pref[i] = pref[i - 1] + x;
    }

    fill(dp[0], dp[0] + n + 1, make_pair(0, 0));
    FOR(i, 1, k + 1) {
        deque<ll> q;
        q.push_back(0);
        dp[i][0] = {0, 0};
        FOR(j, 1, n + 1) {
            while (q.size() > 1 && case1(q[0], q[1], j, i - 1)) q.pop_front();

            ll x = q[0];
            dp[i][j] = {dp[i - 1][x].first + (pref[j] - pref[x]) * (pref[n] - pref[j]), x};

            while (q.size() > 1 && case2(q[q.size() - 2], q[q.size() - 1], j, i - 1)) q.pop_back();
            q.push_back(j);
        }
    }

    ll mx = -1, indx = -1;
    FOR(i, 1, n + 1) {
        if (dp[k][i].first > mx) mx = dp[k][i].first, indx = i;
    }
    cout << mx << '\n';
    FOR(i, 0, k) {
        cout << indx << ' ';
        indx = dp[k - i][indx].second;
    }
    cout << '\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 300 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 768 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 2304 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1792 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 2148 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 2404 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 768 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 612 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 896 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 4836 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 4864 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 4224 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 4864 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 4864 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1280 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2176 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1152 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1152 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 33276 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 1152 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 52 ms 20236 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 60 ms 23432 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 65 ms 25180 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 20572 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 55 ms 23416 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 66 ms 29972 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 19 ms 7600 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 19 ms 7812 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 271 ms 131072 KB Execution killed with signal 9 (could be triggered by violating memory limits)
4 Halted 0 ms 0 KB -