Submission #915870

# Submission time Handle Problem Language Result Execution time Memory
915870 2024-01-24T20:05:52 Z Pekiban Split the sequence (APIO14_sequence) C++17
100 / 100
455 ms 82028 KB
#include <bits/stdc++.h>

using namespace std;

const int mxK = 202, mxN = 1e5+2;
bool vis[mxN];
int to[mxK][mxN], dq[mxN], l = 0, r = 0;
long long dpb[mxN], dp[mxN], pref[mxN];
long long sq(long long a) {
    return a*a;
}
double cord(int x, int y) {
    return (double)(dpb[x] - sq(pref[x]) - dpb[y] + sq(pref[y]))/(pref[y] - pref[x]);// (d-b)/(a-c)
}
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n, k;
    cin >> n >> k;
    for (int i = 1; i <= n; ++i) {
        int x;
        cin >> x;
        pref[i] = pref[i-1] + x;
    }
    for (int i = 1; i <= k; ++i) {
        dq[0] = r = l = 0;
        for (int j = 1; j <= n; ++j) {
            while (r - l > 0 && pref[j] != pref[j-1] && cord(dq[l], dq[l+1]) <= pref[j])   l++;
            dp[j] = dpb[dq[l]] - sq(pref[dq[l]]) + pref[dq[l]] * pref[j];
            to[i][j] = dq[l];
            if (pref[j] != pref[dq[r-1]]) {
                while (r - l > 0 && pref[j] != pref[dq[r-1]] && cord(dq[r-1], j) <= cord(dq[r], dq[r-1]))  r--;
                dq[++r] = j;
            } 
        }
        for (int j = 1; j <= n; ++j) {
            dpb[j] = dp[j];
        }
    }
    cout << dp[n] << '\n';
    int idx = n;
    for (int i = k; i >= 1; --i) {
        if (!to[i][idx]) {
            for (int j = n-1; j >= 1 && i >= 1; --j){
                if (!vis[j]) {
                    --i;
                    cout << j << ' ';
                }
            }
            break;
        }
        cout << to[i][idx] << ' ';
        idx = to[i][idx];
        vis[idx] = 1;
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 2392 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4440 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 4444 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 2396 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 2512 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2512 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4444 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4444 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4444 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2396 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4696 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 20824 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 2392 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 6492 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4560 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 12636 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 6492 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 6492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 2396 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 12 ms 78428 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 9 ms 55644 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 10 ms 72284 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 11 ms 78428 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 18780 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 12636 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 22876 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 2396 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 14 ms 78368 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2396 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 78428 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 14 ms 68188 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 15 ms 78428 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 13 ms 78340 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 16732 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 33116 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2652 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 1 ms 2652 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 39 ms 78596 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 2648 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 34 ms 49752 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 35 ms 55896 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 48 ms 60184 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 29 ms 49744 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 34 ms 56148 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 42 ms 72440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 11 ms 6744 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 11 ms 6792 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 279 ms 81904 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 10 ms 6788 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 455 ms 82028 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 293 ms 60016 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 404 ms 64128 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 250 ms 51792 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 235 ms 60496 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 313 ms 74764 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845