Submission #989913

# Submission time Handle Problem Language Result Execution time Memory
989913 2024-05-29T03:58:30 Z awf Split the sequence (APIO14_sequence) C++14
60 / 100
56 ms 131072 KB
#include<bits/stdc++.h>
using namespace std;

const int N = 1e5 + 15;
#define int long long

int a[N];
int n, k;
int dp[N][2];
int pre[N];
int tv[N][205];
int id = 0;

int cost(int l, int r) {
    return (pre[r] - pre[l-1]) * (pre[n] - pre[r]);
}

void cal(int k, int l, int r, int opl, int opr) {
    if (l > r) return;
    int mid = (l + r) / 2;
    int opm = -1;
    dp[mid][1] = -1e18; 
    for (int i = opr; i >= opl; i--) {
        int val = dp[i][0] + cost(i + 1, mid);
        if (val > dp[mid][1]) {
            dp[mid][1] = val;
            opm = i;
        }
    }
    tv[mid][id] = opm;
    cal(k, l, mid - 1, opl, opm);
    cal(k, mid + 1, r, opm, opr);
}

signed main() {
    ios_base::sync_with_stdio();
    cin.tie(0);
    cin >> n >> k;
    for (int i = 1; i <= n; i++) cin >> a[i];
    
    for (int i = 1; i <= n; i++) {
        pre[i] = pre[i-1] + a[i];
    }

    for (int i = 1; i <= n; i++) dp[i][0] = cost(1, i);

    for (int i = 2; i <= k; i++) {
        id++;
        cal(i, 1, n, 1, n);
        for (int j = 1; j <= n; j++) {
            dp[j][0] = dp[j][1];
            dp[j][1] = 0;
        }
    }

    int mx = -1e18; 
    int last = 0;
    for (int i = 1; i <= n; i++) {
        if (mx < dp[i][0]) {
            last = i;
            mx = dp[i][0];
        }
    }
    cout << mx << endl;
    for (int i = k - 1; i >= 0; i--) {
        cout << last << " ";
        last = tv[last][i];
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 348 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 348 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 348 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 344 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 348 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 348 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 348 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 348 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 348 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 348 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 348 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 348 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 2652 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2652 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2652 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 2652 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Incorrect 1 ms 2652 KB position 199 occurs twice in split scheme
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 2652 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 2652 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2652 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 2720 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 2720 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 2648 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 2652 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 2700 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 2648 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 17240 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 17244 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 44 ms 17244 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 17244 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 56 ms 17244 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 48 ms 17240 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 45 ms 17240 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 31 ms 17244 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 46 ms 17244 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 56 ms 17240 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 27 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -