Submission #939441

# Submission time Handle Problem Language Result Execution time Memory
939441 2024-03-06T11:20:02 Z biximo Split the sequence (APIO14_sequence) C++17
89 / 100
775 ms 89056 KB
#include <bits/stdc++.h>
#define N 100005
using namespace std;
typedef long long ll;
struct Line {
    ll m,b;
    ll get(ll x) {
        return m*x+b;
    }
    long double cross(Line v) {
        return 1LL*(b-v.b)/(v.m-m);
    }
};
struct CHT {
    Line vt[N];
    int ind[N];
    int ft=0,bk=0;
    void adds(Line v, int i) {
        while(bk-ft) {
            if(vt[bk-1].m == v.m) {
                if(v.b < vt[bk-1].b) {
                    i = ind[bk-1];
                    v.b = vt[bk-1].b;
                }
                --bk;
            } else {
                break;
            }
        }
        while(bk-ft >= 2) {
            if(vt[bk-2].cross(v) < vt[bk-2].cross(vt[bk-1])) {
                --bk;
            } else {
                break;
            }
        }
        ind[bk] = i;
        vt[bk++] = v;
    }
    ll query(int x) {
        if(bk==ft) return 0;
        while(bk-ft>=2) {
            if(vt[ft].cross(vt[ft+1]) < x) {
                ++ft;
            } else {
                break;
            }
        }
        return vt[ft].get(x);
    }
    void inits() {
        ft = 0, bk = 0;
    }
    CHT() {}
};
ll n, k, pref[N], dp[N][2];
int bt[N][205];
CHT cht[2];
int main() {
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> k;
    for(int i = 1; i <= n; i ++) {
        cin >> pref[i];
        pref[i] += pref[i-1];
    }
    cht[1].adds({0,0},0);
    ll ans = -1, ind;
    for(int j = 1; j <= k; j ++) {
        swap(cht[0],cht[1]);
        cht[1].inits();
        for(int i = 1; i < j; i ++) {
            swap(dp[i][0],dp[i][1]);
            cht[0].adds({pref[i],-pref[n]*pref[i]+dp[i][0]},i);
        }
        for(int i = j; i <= n; i ++) {
            swap(dp[i][0],dp[i][1]);
            dp[i][1] = cht[0].query(pref[i])+pref[n]*pref[i]-pref[i]*pref[i];
            bt[i][j] = cht[0].ind[cht[0].ft];
            if(j == k && ans < dp[i][1]) {
                ind = i;
                ans = dp[i][1];
            }
            if(j > 1) {
                cht[0].adds({pref[i],-pref[n]*pref[i]+dp[i][0]},i);
            }
        }
    }
    vector<int> pt;
    int K = k;
    while(ind) {
        pt.push_back(ind);
        ind = bt[ind][K--];
    }
    cout << ans << "\n";
    sort(pt.begin(),pt.end());
    for(int i: pt) cout << i << " ";
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:91:21: warning: 'ind' may be used uninitialized in this function [-Wmaybe-uninitialized]
   91 |         pt.push_back(ind);
      |         ~~~~~~~~~~~~^~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8540 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 8540 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 8540 KB contestant found the optimal answer: 0 == 0
4 Correct 3 ms 8792 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 4 ms 8580 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 8536 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 8628 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 8540 KB contestant found the optimal answer: 1 == 1
9 Correct 3 ms 8540 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 3 ms 8540 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 3 ms 8540 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 8540 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 8540 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 8540 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 8540 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 8540 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 8536 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8536 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 3 ms 8540 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 10 ms 8540 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 8536 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 8540 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 3 ms 8660 KB contestant found the optimal answer: 933702 == 933702
7 Correct 7 ms 8540 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 8536 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 8744 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 8540 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8540 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 8540 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 35 ms 8536 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 3 ms 8536 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 26 ms 8752 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Incorrect 32 ms 8540 KB Unexpected end of file - int32 expected
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 10816 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 42 ms 10792 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 10588 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 39 ms 10796 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 38 ms 10588 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 42 ms 10588 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 39 ms 10584 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 11 ms 10584 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 19 ms 10584 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 16984 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 17184 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 105 ms 16988 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 16988 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 63 ms 17240 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 78 ms 17084 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 96 ms 17244 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 66 ms 16988 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 75 ms 17088 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 95 ms 16988 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 26 ms 88664 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 28 ms 89056 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 775 ms 88888 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 88680 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 755 ms 88884 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 545 ms 88668 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 674 ms 88668 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 481 ms 88916 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 546 ms 88884 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 700 ms 88888 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845