Submission #384261

# Submission time Handle Problem Language Result Execution time Memory
384261 2021-04-01T04:17:55 Z danielcm585 Split the sequence (APIO14_sequence) C++14
100 / 100
1492 ms 81900 KB
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second

typedef long long ll;
typedef pair<int,int> ii;

const int N = 1e5;
const int K = 2e2;
const ll INF = 1e18;
int n, k;
int a[N+2];
int bt[K+2][N+2];
ll sum[N+2];
ll dp[2][N+2];

ll cost(int l, int r) {
    return (sum[r]-sum[l-1])*sum[l-1];
}

void compute(int id, int l, int r, int x, int y) {
    if (l > r) return;
    int mid = (l+r)/2, opt = -1;
    dp[id&1][mid] = -INF;
    for (int i = x; i <= min(y,mid); i++) {
        if (dp[id&1][mid] < dp[id&1^1][i-1]+cost(i,mid)) {
            dp[id&1][mid] = dp[id&1^1][i-1]+cost(i,mid);
            bt[id][mid] = i-1;
            opt = i;
        }
    }
    compute(id,l,mid-1,x,opt); compute(id,mid+1,r,opt,y);
}

int 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];
        sum[i] = sum[i-1]+a[i];
    }
    for (int i = 2; i <= k; i++) compute(i,i,n,i,n);
    vector<int> res;
    for (int i = n, j = k; i >= 1; i = bt[j][i], j--) {
        res.push_back(bt[j][i]);
    }
    sort(res.begin(),res.end());
    cout << dp[k&1][n] << '\n';
    for (int i = 1; i < res.size(); i++) {
        if (i != 1) cout << ' ';
        cout << res[i];
    }
    cout << '\n';
    return 0;
}

/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp: In function 'void compute(int, int, int, int, int)':
sequence.cpp:28:34: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   28 |         if (dp[id&1][mid] < dp[id&1^1][i-1]+cost(i,mid)) {
      |                                ~~^~
sequence.cpp:29:34: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   29 |             dp[id&1][mid] = dp[id&1^1][i-1]+cost(i,mid);
      |                                ~~^~
sequence.cpp: In function 'int main()':
sequence.cpp:51:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |     for (int i = 1; i < res.size(); i++) {
      |                     ~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1388 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 364 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1260 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1388 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 620 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2156 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1772 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2028 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2028 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1132 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 748 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 75 ms 9452 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 876 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 82 ms 5996 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 82 ms 6744 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 72 ms 7276 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 50 ms 5996 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 72 ms 6764 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 97 ms 8556 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 28 ms 4332 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 4460 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 765 ms 81900 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 4864 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1492 ms 81772 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 916 ms 58220 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 773 ms 62316 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 563 ms 51180 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 759 ms 58372 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 974 ms 74092 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845