Submission #728919

# Submission time Handle Problem Language Result Execution time Memory
728919 2023-04-23T09:27:19 Z hoainiem Split the sequence (APIO14_sequence) C++14
71 / 100
328 ms 131072 KB
#include <bits/stdc++.h>
#define fi first
#define se second
#define lc id<<1
#define rc id<<1^1
#define nmax 100008
const long long inf = 1e18;
using namespace std;
typedef pair<long long, long long> pii;
long long n, k, row, a[nmax], f[nmax];
long long sum[nmax], dp[208][nmax], trace[208][nmax];
void dq(long long l, long long r, long long u, long long v){
    if (l > r)
        return;
    long long mid = (l + r) >> 1, sp = -1;
    dp[row][mid] = inf;
    for (long long i = u; i <= mid && i <= v; i++)
        if (dp[row][mid] > dp[row - 1][i - 1] + sum[mid] - sum[i - 1] - 1LL * (f[mid] - f[i - 1]) * f[i - 1]){
            dp[row][mid] = dp[row - 1][i - 1] + sum[mid] - sum[i - 1] - 1LL * (f[mid] - f[i - 1]) * f[i - 1];
            sp = i;
        }
    trace[row][mid] = sp;
    dq(l, mid - 1, u, sp);
    dq(mid + 1, r, sp, v);
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin >> n >> k;
    for (long long i = 1; i <= n; i++){
        cin >> a[i];
        f[i] = f[i - 1] + a[i];
        sum[i] = sum[i - 1] + a[i] * f[i - 1];
        dp[0][i] = inf;
    }
    k++;
    dp[0][0] = 0;
    for (row = 1; row <= k; row++)
        dq(row, n, row, n);
    cout << sum[n] - dp[k][n] << '\n';
    for (long long j = k, i = n; j > 0; j--){
        i = trace[j][i] - 1;
        if (i)
            cout << i << ' ';
    }
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 0 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 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 340 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 340 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 428 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 852 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 468 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 596 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 468 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 468 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 0 ms 340 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2772 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 2132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 2644 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 2772 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 980 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 724 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 1108 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 468 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 5332 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 468 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 5332 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 4744 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 5376 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 5332 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1364 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 2388 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1236 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1236 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 71 ms 33908 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1236 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 79 ms 20788 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 87 ms 24112 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 71 ms 25672 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 21064 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 71 ms 23992 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 97 ms 30592 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 33 ms 9656 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 9672 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 328 ms 131072 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -