Submission #522837

# Submission time Handle Problem Language Result Execution time Memory
522837 2022-02-06T01:29:35 Z pokmui9909 Split the sequence (APIO14_sequence) C++17
100 / 100
751 ms 82316 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using lf = long double;
 
#define x first
#define y second
struct Line{
    ll a, b, i;
    ll f(ll x){
        return a * x + b;
    }
};
lf X_cross(Line f, Line g){
    return 1.0 * (f.b - g.b) / (g.a - f.a);
}
 
ll N, K;
ll A[100005];
ll S[100005];
ll D[2][100005];
int T[202][100002];
 
int main(){
    cin.tie(0) -> sync_with_stdio(false);
    
    cin >> N >> K;
    for(int i = 1; i <= N; i++){
        cin >> A[i];
        S[i] = S[i - 1] + A[i];
    }
    for(int i = 1; i <= K; i++){
        ll p = i % 2, q = (i - 1) % 2;
        deque<Line> dq;
        dq.push_back({S[i], D[q][i] - S[i] * S[i], i});
        for(int j = i + 1; j <= N; j++){
            while(dq.size() >= 2 && dq[0].f(S[j]) <= dq[1].f(S[j])) dq.pop_front();
            D[p][j] = dq[0].f(S[j]);
            T[i][j] = dq[0].i;
            Line f = {S[j], D[q][j] - S[j] * S[j], j};
            while(dq.size() >= 2 && X_cross(dq[dq.size() - 1], dq[dq.size() - 2]) >= X_cross(dq[dq.size() - 2], f)) dq.pop_back();
            dq.push_back(f);    
        }
    }
    cout << D[K % 2][N] << '\n';
    ll idx = N;
    for(int i = K; i >= 1; i--){
        idx = T[i][idx];
        cout << idx << ' ';
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 324 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 320 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 588 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 316 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 320 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 1340 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1068 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 588 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 576 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 1984 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 1740 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 1996 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 708 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 844 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 916 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 65 ms 9540 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 928 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 46 ms 5996 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 51 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 50 ms 7324 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 39 ms 6108 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 46 ms 6856 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 59 ms 8552 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 18 ms 5344 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 18 ms 5240 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 559 ms 82316 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 17 ms 5736 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 751 ms 82036 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 530 ms 58580 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 517 ms 62784 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 413 ms 51652 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 460 ms 58648 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 577 ms 74356 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845