Submission #1271294

#	Time	Username	Problem	Language	Result	Execution time	Memory
1271294		bbldrizzy	Split the sequence (APIO14_sequence)	C++20	22 / 100	1 ms	836 KiB

sequence

#include <bits/stdc++.h>
#include <ios>
#include <iostream>
using namespace std;
using ll = long long;
using P = pair<int, int>;
#define f first
#define s second
const int MOD = 1e9+7;
const ll MX = 4*1e18;
const ll NEG = numeric_limits<ll>::min()/4;
vector<ll> pref;
vector<vector<ll>> dp;
vector<vector<ll>> pr;

void solve(ll id, ll i, ll j, ll l, ll r) {
    if (i > j) return;
    ll mid = (i+j)/2;
    ll mx = NEG;
    ll best = l;
    for (ll k = l; k <= min(mid, r); k++) {
        if (dp[k][id-1] == NEG) continue;
        ll v = dp[k][id-1] + pref[k+1]*(pref[mid+1]-pref[k+1]);
        if (v > mx) {
            best = k;
            mx = v;
        }
    }
    dp[mid][id] = mx;
    pr[mid][id] = (mx==NEG ? -1 : best);
    solve(id, i, mid-1, l, best);
    solve(id, mid+1, j, best, r);
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    ll n, k; cin >> n >> k;
    vector<ll> v(n);
    for (auto &x: v) cin >> x;
    pref.assign(n+1, 0);
    for (int i = 0; i < n; i++) pref[i+1] = pref[i] + v[i];
    dp.assign(n, vector<ll>(k+1, NEG));
    pr.assign(n, vector<ll>(k+1, -1));
    for (int i = 0; i < n; i++) dp[i][0] = 0;
    for (int i = 1; i <= k; i++) solve(i, 0, n-1, 0, n-1);
    cout << dp[n-1][k] << "\n";
    ll cur = n-1;
    vector<ll> vl;
    for (int i = 0; i < k; i++) {
        ll idx = pr[cur][k-i];
        if (idx == -1) break;
        vl.push_back(idx+1);
        cur = idx;
    }
    reverse(vl.begin(), vl.end());
    for (int i = 0; i < vl.size(); i++) {
        cout << vl[i] << " ";
    }
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29