Submission #856719

# Submission time Handle Problem Language Result Execution time Memory
856719 2023-10-04T11:44:04 Z a_l_i_r_e_z_a Split the sequence (APIO14_sequence) C++14
100 / 100
663 ms 82696 KB
// Be name Khoda
// Khodaya khodet komak kon
// Hope is last to die

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;

#define pb push_back
#define S second
#define F first
#define mp make_pair
#define smax(x, y) (x) = max((x), (y))
#define smin(x, y) (x) = min((x), (y))
#define all(x) (x).begin(), (x).end()
#define set_dec(x) cout << fixed << setprecision(x);
#define kill(x) cout << x << endl, exit(0)
#define sz(x) ((int)(x).size())
#define file_io freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);

const ll maxN = 100000 + 10, maxK = 210, inf = 1e18 + 7;
ll sm[maxN], dp[2][maxN];
int O[maxK][maxN];

void f(ll op, ll k){
    if(k == 0) return;
    cout << O[k][op] << " ";
    f(O[k][op] , k - 1);
}

void divide(ll k, ll l, ll r, ll optl, ll optr, ll amirJ){
    if(r - l < 0) return;
    ll mid = (l + r) / 2, op = 0;
    dp[k][mid] = -inf;
    for(int i = optl; i <= min(optr, mid - 1); i++){
        ll res = dp[1 - k][i] + sm[i] * (sm[mid] - sm[i]);
        if(res >= dp[k][mid]) dp[k][mid] = res, op = i;
    }
    O[amirJ][mid] = op;
    divide(k, l, mid - 1, optl, op, amirJ);
    divide(k, mid + 1, r, op, optr, amirJ);
}

int32_t main()
{
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    ll n, k; cin >> n >> k;
    for(int i = 0; i < n; i++){
        ll x; cin >> x;
        sm[i + 1] = sm[i] + x;
    }
    for(int i = 1; i <= k; i++) divide(i % 2, 1, n, 0, n, i);
    cout << dp[k % 2][n] << '\n';

    f(n, k);

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 2648 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 2396 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 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 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 2396 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 2396 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 2396 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 2396 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 1 ms 2396 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2396 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 1 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 20828 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 2396 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 10588 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 6492 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4440 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 6492 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 1 ms 2396 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 8 ms 78428 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 55644 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 8 ms 72284 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 78368 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 18780 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 12636 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 22872 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 2396 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 78428 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2396 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 80476 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 68196 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 80476 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 80476 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 16728 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 33316 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 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 47 ms 80616 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 2648 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 41 ms 47868 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 39 ms 55888 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 50 ms 59988 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 49904 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 37 ms 56064 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 52 ms 72452 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 15 ms 4872 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 14 ms 4696 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 410 ms 82696 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 18 ms 4696 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 663 ms 82680 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 411 ms 58120 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 487 ms 62208 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 342 ms 52048 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 332 ms 58192 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 424 ms 74576 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845