# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
652451 | ssense | Split the sequence (APIO14_sequence) | C++14 | 2086 ms | 68944 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define startt ios_base::sync_with_stdio(false);cin.tie(0);
typedef long long ll;
using namespace std;
#define vint vector<int>
#define all(v) v.begin(), v.end()
#define MOD 1000000007
#define MOD2 998244353
#define MX 1000000000
#define MXL 1000000000000000000
#define PI (ld)2*acos(0.0)
#define pb push_back
#define sc second
#define fr first
#define int long long
#define endl '\n'
#define ld long double
#define NO cout << "NO" << endl
#define YES cout << "YES" << endl
int ceildiv(int one, int two) {if (one % two == 0) {return one / two;}else {return one / two + 1;}} int power(int n, int pow, int m) {if (pow == 0) return 1;if (pow % 2 == 0) {ll x = power(n, pow / 2, m);return (x * x) % m;}else return (power(n, pow - 1, m) * n) % m;} int gcd(int a, int b) { if (!b)return a; return gcd(b, a % b);} int factorial(int n, int mod) {if (n > 1)return (n * factorial(n - 1, mod)) % mod; else return 1;} int lcm(int a, int b) {return (a * b) / gcd(a, b);} vector<int> read(int n) {vector<int> a; for (int i = 0; i < n; i++) { int x; cin >> x; a.pb(x);} return a;}struct prefix_sum{vint pref;void build(vint a){pref.pb(0);for(int i = 0; i < a.size(); i++){pref.pb(pref.back()+a[i]);}}int get(int l, int r){return pref[r]-pref[l-1];}};//mesanu
const int N = 10000;
const int K = 200;
pair<int, short> dp[N+5][K+5];
void solve()
{
int n, k;
cin >> n >> k;
vint a = read(n);
prefix_sum pref;
pref.build(a);
for(int i = 0; i <= n; i++)
{
dp[0][i] = {0, -1};
}
for(int i = 1; i < n; i++)
{
for(int this_break = 1; this_break <= k; this_break++)
{
for(int last_break = 0; last_break < i; last_break++)
{
int now = dp[last_break][this_break-1].fr+pref.get(last_break+1, i)*pref.get(i+1, n);
if(dp[i][this_break].fr <= now)
{
dp[i][this_break] = {now, last_break};
}
}
}
}
int score = 0;
int end = 0;
for(int i = 1; i < n; i++)
{
if(score <= dp[i][k].fr)
{
score = max(score, dp[i][k].fr);
end = i;
}
}
cout << score << endl;
while(k != 0)
{
cout << end << " ";
end = dp[end][k--].sc;
}
}
int32_t main(){
startt
int t = 1;
//cin >> t;
while (t--) {
solve();
}
}
/*
7 3
4 1 3 4 0 2 3
*/
Compilation message (stderr)
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