Submission #724942

# Submission time Handle Problem Language Result Execution time Memory
724942 2023-04-16T11:13:48 Z ifateen Split the sequence (APIO14_sequence) C++14
100 / 100
384 ms 82108 KB
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

int n, k;
int where[201][100001];
ll pref[100001]{0}, dp[2][100001], q[100001], l = 1, r = 1;

bool case1(int x, int y, int i) {
    return (dp[0][y] - dp[0][x] >= (pref[y] - pref[x]) * (pref[n] - pref[i]));
}

bool case2(int x, int y, int i) {
    return ((dp[0][y] - dp[0][x]) * (pref[i] - pref[y]) <=
            (dp[0][i] - dp[0][y]) * (pref[y] - pref[x]));
}

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

    fill(dp[0], dp[0] + n + 1, 0);
    FOR(i, 1, k + 1) {
        q[r++] = 0;
        FOR(j, 1, n + 1) {
            while (r - l > 1 and case1(q[l], q[l + 1], j)) l++;

            ll x = q[l];
            dp[1][j] = dp[0][x] + (pref[j] - pref[x]) * (pref[n] - pref[j]);
            where[i][j] = x;

            while (r - l > 1 and case2(q[r - 2], q[r - 1], j)) r--;
            q[r++] = j;
        }
        l = r = 1;
        FOR(j, 1, n + 1) dp[0][j] = dp[1][j];
    }

    ll mx = -1;
    int indx = -1;
    FOR(i, 1, n + 1) {
        if (dp[0][i] > mx) mx = dp[0][i], indx = i;
    }
    cout << mx << '\n';
    FOR(i, 0, k) {
        cout << indx << ' ';
        indx = where[k - i][indx];
    }
    cout << '\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 328 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 336 KB contestant found the optimal answer: 1 == 1
7 Correct 1 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 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 328 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 328 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 328 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 468 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 468 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 328 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 336 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1364 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1108 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1364 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 596 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 596 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 4 ms 2004 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 2004 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 1748 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 2004 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 2004 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 1 ms 724 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 732 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 724 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 26 ms 9420 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 852 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 27 ms 5848 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 26 ms 6740 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 31 ms 7264 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 19 ms 6000 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 23 ms 6748 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 28 ms 8532 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 11 ms 4440 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 12 ms 4564 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 250 ms 82108 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 11 ms 5092 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 384 ms 81700 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 256 ms 58292 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 268 ms 62540 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 182 ms 51556 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 213 ms 58408 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 257 ms 74112 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845