# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1123796 | LTTrungCHL | Feast (NOI19_feast) | C++20 | 169 ms | 12180 KiB |
///***LTT***///
/// ->NHAT QUOC GIA<- ///
#include<bits/stdc++.h>
//#pragma GCC optimize ("O3")
//#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("popcnt")
//#define int long long
#define endl "\n"
#define F first
#define S second
#define pb push_back
using namespace std;
//vector <int> lg2;
//void LOG_ARR(int n){
// lg2.resize(n + 3);
// for (int i = 1;i <= n;++i){
// lg2[i] = __lg(i);
// }
//}
const long long oo = 1e9+7;
const int N = 3 * 1e5 + 10;
int n, k;
long long a[N];
pair <long long, int> dp[N][2];
pair <long long, int> gendp(long long lambda){
for (int i = 1;i <= n;++i){
for (int j = 0;j <= 1;++j){
dp[i][j] = {0, 0};
}
}
dp[1][1] = {a[1] - lambda,1};
for (int i = 2;i <= n;++i){
dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
dp[i][1] = max(make_pair(dp[i - 1][0].F - lambda + a[i], dp[i - 1][0].S + 1), make_pair(dp[i - 1][1].F + a[i], dp[i - 1][1].S) );
}
return max(dp[n][0], dp[n][1]);
}
void solve(){
cin >> n >> k;
for (int i = 1;i <= n;++i){
cin >> a[i];
}
long long l = 0, r = 1e18;
long long res = 0;
while (l <= r){
long long mid = (l + r)/2;
if (gendp(mid).S >= k){
l = mid + 1;
res = mid;
} else r = mid - 1;
}
pair <long long, int> ans = gendp(res);
// cout << ans.F <<"\n";
cout << ans.F + res * ans.S ;
return;
}
int main(){
ios_base::sync_with_stdio(NULL);
cin.tie(NULL);
cout.tie(NULL);
if (fopen("npt.inp", "r")){
freopen("npt.inp", "r", stdin);
freopen("npt.out", "w", stdout);
}
// int t;
// cin >> t;
// while(t--){
solve();
// }
/////////
return 0;
}
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