Submission #989511

# Submission time Handle Problem Language Result Execution time Memory
989511 2024-05-28T08:43:02 Z vjudge1 Split the sequence (APIO14_sequence) C++17
100 / 100
904 ms 82424 KB
#include<bits/stdc++.h>

using namespace std;

#define int long long
int n, k, a[100005], dp[2][100005], pfs2[100005];
int32_t trace[205][100005];
int cost(int l, int r) {
    return (pfs2[r] - pfs2[l-1]) * (pfs2[n] - pfs2[r]);
    //return pfs[r] - pfs[l - 1] - pfs2[l - 1] * (r - l + 1);
}

void solve(int l, int r, int opl, int opr, int k) {
    int mid = (l + r) / 2, res = -1, pos;
    for (int i = opl; i <= min(mid, opr); i++) if(i >= k) {
        int val = dp[k&1^1][i - 1] + cost(i, mid);
        if(res < val) {
            res = val;
            pos = i;
        }
    }
    dp[k&1][mid] = res;
    trace[k][mid] = pos - 1;
    if(l < mid) solve(l, mid-1, opl, pos, k);
    if(mid < r) solve(mid + 1, r, pos, opr, k);
}

signed main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n >> k; ++k;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        pfs2[i] = pfs2[i - 1] + a[i];
    }
    for (int i = 1; i <= k; i++) solve(i, n, 1, n, i);
    cout << dp[k&1][n] << endl;
    vector<int> ans;
    int p = n;
    for(int i = k; i > 1; i--){
        p = trace[i][p]; ans.push_back(p);
    }
    reverse(ans.begin(), ans.end());
    for(int i : ans) cout<<i<<" ";
}

Compilation message

sequence.cpp: In function 'void solve(long long int, long long int, long long int, long long int, long long int)':
sequence.cpp:16:23: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   16 |         int val = dp[k&1^1][i - 1] + cost(i, mid);
      |                      ~^~
sequence.cpp:23:25: warning: 'pos' may be used uninitialized in this function [-Wmaybe-uninitialized]
   23 |     trace[k][mid] = pos - 1;
      |                     ~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 2396 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 4444 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 4444 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 0 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 2660 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2392 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 2392 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 2396 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 2396 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2392 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 2396 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 2652 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 2396 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4440 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 2396 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 2396 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4444 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 2396 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 2396 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 0 ms 2396 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 5468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 5212 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 5468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 3420 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 4700 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 2652 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 4700 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 2544 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 8028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2396 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 8028 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 3928 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 4188 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 4188 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 2652 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 3060 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2652 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 2652 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 39 ms 11324 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 2652 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 50 ms 7892 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 47 ms 8520 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 42 ms 9044 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 28 ms 7772 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 41 ms 8536 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 53 ms 12116 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 24 ms 5716 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 18 ms 5644 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 409 ms 82212 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 14 ms 5464 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 904 ms 82424 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 543 ms 58868 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 461 ms 62736 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 298 ms 51792 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 447 ms 58968 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 548 ms 74480 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845