Submission #1060476

# Submission time Handle Problem Language Result Execution time Memory
1060476 2024-08-15T15:52:18 Z CodeLakVN Split the sequence (APIO14_sequence) C++14
49 / 100
201 ms 131072 KB
#include <bits/stdc++.h>

#define no "NO"
#define yes "YES"
#define F first
#define S second
#define vec vector
#define task "main"
#define ll long long
#define _mp make_pair
#define ii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define evoid(val) return void(std::cout << val)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
#define unq(x) sort(all(x)); x.resize(unique(all(x)) - x.begin())

using namespace std;

template<typename U, typename V> bool maximize(U &a, V b) {
    if (a < b) { a = b; return 1; } return 0;
}
template<typename U, typename V> bool minimize(U &a, V b) {
    if (a > b) { a = b; return 1; } return 0;
}

const int N = (int)1e5 + 9;
const int INF = (int)1e9;
const int MOD = (int)1e9 + 7;

int n, k;
int a[N];
ll sum[N], dp[202][N], bestPos[202][N];

ll cost(int i, int j) {
    return (sum[j] - sum[i - 1]) * (sum[n] - sum[j]);
}

void solve(int id, int l, int r, int optL, int optR) {
    if (l > r) return;
    int mid = (l + r) >> 1;
    dp[id][mid] = 0;
    FOR(i, optL, optR) {
        ll newCost = dp[id - 1][i] + cost(i + 1, mid);
        if (maximize(dp[id][mid], newCost)) bestPos[id][mid] = i;
    }
    solve(id, l, mid - 1, optL, bestPos[id][mid]);
    solve(id, mid + 1, r, bestPos[id][mid], optR);
}

void main_code() {
    cin >> n >> k;
    FOR(i, 1, n) cin >> a[i], sum[i] = sum[i - 1] + a[i];

    FOR(i, 1, n) dp[1][i] = cost(1, i);
    FOR(i, 2, k + 1) solve(i, 1, n, 1, n);

    cout << dp[k + 1][n] << "\n";
    vector<int> trace;
    int p = n, id = k + 1;
    while (p > 0) {
        p = bestPos[id][p];
        trace.push_back(p);
        id--;
    }
    FOD(i, k - 1, 0) cout << trace[i] << " ";
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    if (fopen(task".inp", "r")) {
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    const bool MULTITEST = 0;
    int num_test = 1; if (MULTITEST) cin >> num_test;
    while (num_test--) { main_code(); cout << "\n"; }
}

/* Lak lu theo dieu nhac */

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:73:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   73 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:74:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   74 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 8540 KB contestant found the optimal answer: 999 == 999
3 Incorrect 0 ms 2396 KB Integer 0 violates the range [1, 1]
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 8540 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 7 ms 80456 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 8536 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 20828 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 14684 KB contestant found the optimal answer: 933702 == 933702
7 Correct 4 ms 41420 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 20996 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 14680 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 24920 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 8540 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 9 ms 98800 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 8540 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 8 ms 99948 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Incorrect 9 ms 104540 KB position 1 occurs twice in split scheme
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 8540 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 106556 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 8540 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 110672 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 105816 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 13 ms 102492 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 12 ms 104580 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 66140 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 95324 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 8796 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 53 ms 125916 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 8796 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 58 ms 112464 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 54 ms 111956 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 54 ms 113748 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 37 ms 105460 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 53 ms 114004 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 62 ms 118864 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 16 ms 9820 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 10044 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 201 ms 131072 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -