Submission #367253

# Submission time Handle Problem Language Result Execution time Memory
367253 2021-02-16T17:01:27 Z parsabahrami Split the sequence (APIO14_sequence) C++17
100 / 100
1965 ms 86664 KB
// Call my Name and Save me from The Dark
#include <bits/stdc++.h>
 
using namespace std;

typedef long long int ll;
typedef pair<int, int> pii;
 
#define SZ(x)                       (int) x.size()
#define F                           first
#define S                           second

const int N = 1e5 + 10, K = 210;
ll PS[N], S[N], dp[2][N]; int opt[K][N], A[N], n, k;

inline ll get(int l, int r) {
    return S[r] - S[max(0, l - 1)] - (PS[r] - PS[max(0, l - 1)]) * PS[max(0, l - 1)];
}

void DC(int j, int l = 1, int r = n, int optl = 1, int optr = n) {
    if (r - l < 0) return;
    int mid = (l + r) >> 1;
    dp[j & 1][mid] = 1e18;
    for (int i = max(2, optl); i <= min(mid, optr); i++) {
        ll x = get(i, mid) + dp[1 - (j & 1)][i - 1];
        if (x < dp[j & 1][mid]) {
            dp[j & 1][mid] = x, opt[j][mid] = i;
        }
    }
    DC(j, l, mid - 1, optl, opt[j][mid] == -1 ? n : opt[j][mid]);
    DC(j, mid + 1, r, max(1, opt[j][mid]), optr);
}

int main() {
    scanf("%d%d", &n, &k);
    for (int i = 1; i <= n; i++) scanf("%d", &A[i]), PS[i] = PS[i - 1] + A[i];
    for (int i = 1; i <= n; i++) {
        S[i] = S[i - 1] + 1ll * A[i] * PS[i - 1];
    }
    memset(opt, -1, sizeof opt);
    for (int i = 0; i <= n; i++) dp[1][i] = S[i];
    for (int i = 2; i <= k + 1; i++) {
        DC(i);
    }
    printf("%lld\n", S[n] - dp[1 - (k & 1)][n]);
    int id = n; vector<int> vec;
    for (int i = k + 1; i > 1; i--) {
        if (opt[i][id] == -1) { cout << to_string(k); break; }
        vec.push_back(id = opt[i][id] - 1);
    }
    reverse(vec.begin(), vec.end());
    for (int &i : vec) printf("%d ", i);
    printf("\n");
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:35:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   35 |     scanf("%d%d", &n, &k);
      |     ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:36:39: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   36 |     for (int i = 1; i <= n; i++) scanf("%d", &A[i]), PS[i] = PS[i - 1] + A[i];
      |                                  ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 47 ms 82540 KB contestant found the optimal answer: 108 == 108
2 Correct 45 ms 82540 KB contestant found the optimal answer: 999 == 999
3 Correct 45 ms 82560 KB contestant found the optimal answer: 0 == 0
4 Correct 46 ms 82540 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 45 ms 82540 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 47 ms 82540 KB contestant found the optimal answer: 1 == 1
7 Correct 45 ms 82668 KB contestant found the optimal answer: 1 == 1
8 Correct 46 ms 82540 KB contestant found the optimal answer: 1 == 1
9 Correct 46 ms 82540 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 46 ms 82540 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 47 ms 82540 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 46 ms 82540 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 46 ms 82540 KB contestant found the optimal answer: 140072 == 140072
14 Correct 45 ms 82540 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 45 ms 82540 KB contestant found the optimal answer: 805 == 805
16 Correct 45 ms 82540 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 47 ms 82540 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 45 ms 82540 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 45 ms 82668 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 47 ms 82540 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 47 ms 82540 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 45 ms 82540 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 46 ms 82668 KB contestant found the optimal answer: 933702 == 933702
7 Correct 45 ms 82540 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 46 ms 82668 KB contestant found the optimal answer: 687136 == 687136
9 Correct 47 ms 82540 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 45 ms 82540 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 47 ms 82540 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 45 ms 82540 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 49 ms 82540 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 46 ms 82540 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 48 ms 82540 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 48 ms 82540 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 52 ms 82668 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 46 ms 82540 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 46 ms 82540 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 47 ms 82540 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 45 ms 82540 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 45 ms 82540 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 56 ms 82540 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 46 ms 82540 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 59 ms 82540 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 56 ms 82540 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 58 ms 82668 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 56 ms 82560 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 47 ms 82540 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 51 ms 82668 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 50 ms 82924 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 48 ms 82924 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 156 ms 82924 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 48 ms 82924 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 145 ms 82924 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 145 ms 82924 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 142 ms 83052 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 119 ms 82924 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 166 ms 82924 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 168 ms 82924 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 82 ms 86124 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 82 ms 86380 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1251 ms 86664 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 79 ms 86636 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1965 ms 86288 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1284 ms 86292 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1240 ms 86532 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 942 ms 86464 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1292 ms 86380 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1409 ms 86380 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845