Submission #386812

# Submission time Handle Problem Language Result Execution time Memory
386812 2021-04-07T10:58:53 Z two_sides Split the sequence (APIO14_sequence) C++17
100 / 100
1419 ms 81516 KB
#include <bits/stdc++.h>
 
template <class X, class Y>
bool cmax(X &a, const Y &b) {
    return a < b ? a = b, 1 : 0;
}
 
using namespace std;
 
using ll = long long;
 
const int N = 100005, K = 205;
 
ll S[N], Dp[2][N];
int Opt[K][N];
 
void Dnc(int k, int l, int r, int optl, int optr) {
    int m = (l + r) / 2;
    for (int i = optl; i <= min(m, optr); i++)
        if (cmax(Dp[k & 1][m], Dp[~k & 1][i - 1] +
        S[i - 1] * (S[m] - S[i - 1]))) Opt[k][m] = i;
    if (l < m) Dnc(k, l, m - 1, optl, Opt[k][m]);
    if (m < r) Dnc(k, m + 1, r, Opt[k][m], optr);
}
 
int main() {
    cin.tie(0)->sync_with_stdio(0);
    int n, k; cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> S[i]; S[i] += S[i - 1];
    }
    for (int i = 1; i <= k; i++) {
        memset(Dp[i & 1], 0xc0, sizeof Dp[i & 1]);
        Dnc(i, i + 1, n, i + 1, n);
    }
    cout << Dp[k & 1][n] << '\n';
    stack <int> st;
    while (k)
        cout << (n = Opt[k--][n] - 1) << ' ';
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1900 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 1900 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1132 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 1900 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 1900 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 1132 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 1132 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 1132 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 1900 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 2028 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 1900 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 1900 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 1900 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 1900 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 1900 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 1900 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 1900 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1900 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 1900 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 2156 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 1900 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 2028 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 1900 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 2028 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 2028 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 1900 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 2028 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1900 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 1900 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 8 ms 2924 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1900 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 2668 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 10 ms 2796 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 9 ms 2924 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 2156 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 2068 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 2284 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1900 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1900 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 3564 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1900 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 19 ms 3692 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 15 ms 3308 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 15 ms 3564 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 12 ms 3564 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 2284 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 2668 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2156 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 2156 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 64 ms 10732 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 2156 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 83 ms 7276 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 75 ms 8172 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 68 ms 8556 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 50 ms 7404 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 85 ms 8172 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 93 ms 9876 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 28 ms 3820 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 4076 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 624 ms 81516 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 4460 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1419 ms 81324 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 842 ms 57836 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 706 ms 62160 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 480 ms 50796 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 699 ms 57836 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 902 ms 73580 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845