// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
http://www.serbanology.com/vault/The%20Trick%20From%20Aliens
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n,k; cin >> n >> k;
vector<ll> a(n+5);
rep1(i,n) cin >> a[i];
vector<ll> pref(n+5);
rep1(i,n) pref[i] = pref[i-1] + a[i];
auto get = [&](ld lambda) -> pair<ld,ll>{
vector<pair<ld,ll>> dp(n+5);
pair<ld,ll> best = {0,0};
rep1(i,n){
// do nothing
dp[i] = dp[i-1];
// put in subarray
pair<ld,ll> px = {pref[i]+best.ff-lambda,best.ss+1};
amax(dp[i],px);
px = {-pref[i]+dp[i].ff,dp[i].ss};
amax(best,px);
}
return dp[n];
};
ld l = 0, r = inf1*n;
ld lambda = -1;
rep(iter,250){
ld mid = (l+r)/2;
if(get(mid).ss <= k){
lambda = mid;
r = mid;
}
else{
l = mid;
}
}
auto [sum,cnt] = get(lambda);
ll ans = sum + cnt*lambda;
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
683 ms |
13956 KB |
Output is correct |
2 |
Correct |
712 ms |
14220 KB |
Output is correct |
3 |
Correct |
688 ms |
14392 KB |
Output is correct |
4 |
Correct |
700 ms |
14292 KB |
Output is correct |
5 |
Correct |
691 ms |
14204 KB |
Output is correct |
6 |
Correct |
673 ms |
14060 KB |
Output is correct |
7 |
Correct |
671 ms |
13996 KB |
Output is correct |
8 |
Correct |
685 ms |
14220 KB |
Output is correct |
9 |
Correct |
677 ms |
14112 KB |
Output is correct |
10 |
Correct |
684 ms |
14164 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
720 ms |
14068 KB |
Output is correct |
2 |
Correct |
691 ms |
14284 KB |
Output is correct |
3 |
Correct |
665 ms |
14036 KB |
Output is correct |
4 |
Correct |
680 ms |
14272 KB |
Output is correct |
5 |
Correct |
646 ms |
13992 KB |
Output is correct |
6 |
Correct |
663 ms |
14032 KB |
Output is correct |
7 |
Correct |
706 ms |
14392 KB |
Output is correct |
8 |
Correct |
658 ms |
14304 KB |
Output is correct |
9 |
Correct |
646 ms |
13948 KB |
Output is correct |
10 |
Correct |
698 ms |
14324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
888 ms |
14252 KB |
Output is correct |
2 |
Correct |
891 ms |
14080 KB |
Output is correct |
3 |
Correct |
880 ms |
14204 KB |
Output is correct |
4 |
Correct |
875 ms |
14072 KB |
Output is correct |
5 |
Correct |
878 ms |
14240 KB |
Output is correct |
6 |
Correct |
887 ms |
14328 KB |
Output is correct |
7 |
Correct |
893 ms |
14336 KB |
Output is correct |
8 |
Correct |
876 ms |
14200 KB |
Output is correct |
9 |
Correct |
889 ms |
14380 KB |
Output is correct |
10 |
Correct |
897 ms |
14344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
683 ms |
13956 KB |
Output is correct |
2 |
Correct |
712 ms |
14220 KB |
Output is correct |
3 |
Correct |
688 ms |
14392 KB |
Output is correct |
4 |
Correct |
700 ms |
14292 KB |
Output is correct |
5 |
Correct |
691 ms |
14204 KB |
Output is correct |
6 |
Correct |
673 ms |
14060 KB |
Output is correct |
7 |
Correct |
671 ms |
13996 KB |
Output is correct |
8 |
Correct |
685 ms |
14220 KB |
Output is correct |
9 |
Correct |
677 ms |
14112 KB |
Output is correct |
10 |
Correct |
684 ms |
14164 KB |
Output is correct |
11 |
Correct |
720 ms |
14068 KB |
Output is correct |
12 |
Correct |
691 ms |
14284 KB |
Output is correct |
13 |
Correct |
665 ms |
14036 KB |
Output is correct |
14 |
Correct |
680 ms |
14272 KB |
Output is correct |
15 |
Correct |
646 ms |
13992 KB |
Output is correct |
16 |
Correct |
663 ms |
14032 KB |
Output is correct |
17 |
Correct |
706 ms |
14392 KB |
Output is correct |
18 |
Correct |
658 ms |
14304 KB |
Output is correct |
19 |
Correct |
646 ms |
13948 KB |
Output is correct |
20 |
Correct |
698 ms |
14324 KB |
Output is correct |
21 |
Correct |
888 ms |
14252 KB |
Output is correct |
22 |
Correct |
891 ms |
14080 KB |
Output is correct |
23 |
Correct |
880 ms |
14204 KB |
Output is correct |
24 |
Correct |
875 ms |
14072 KB |
Output is correct |
25 |
Correct |
878 ms |
14240 KB |
Output is correct |
26 |
Correct |
887 ms |
14328 KB |
Output is correct |
27 |
Correct |
893 ms |
14336 KB |
Output is correct |
28 |
Correct |
876 ms |
14200 KB |
Output is correct |
29 |
Correct |
889 ms |
14380 KB |
Output is correct |
30 |
Correct |
897 ms |
14344 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |