// 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,200){
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 |
543 ms |
16724 KB |
Output is correct |
2 |
Correct |
576 ms |
17076 KB |
Output is correct |
3 |
Correct |
563 ms |
17272 KB |
Output is correct |
4 |
Correct |
550 ms |
17148 KB |
Output is correct |
5 |
Correct |
567 ms |
17068 KB |
Output is correct |
6 |
Correct |
542 ms |
16792 KB |
Output is correct |
7 |
Correct |
545 ms |
16764 KB |
Output is correct |
8 |
Correct |
553 ms |
17100 KB |
Output is correct |
9 |
Correct |
556 ms |
16808 KB |
Output is correct |
10 |
Correct |
560 ms |
16952 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
573 ms |
15188 KB |
Output is correct |
2 |
Correct |
583 ms |
15568 KB |
Output is correct |
3 |
Correct |
531 ms |
15152 KB |
Output is correct |
4 |
Correct |
549 ms |
15288 KB |
Output is correct |
5 |
Correct |
536 ms |
16816 KB |
Output is correct |
6 |
Correct |
535 ms |
15144 KB |
Output is correct |
7 |
Correct |
570 ms |
15540 KB |
Output is correct |
8 |
Correct |
569 ms |
17180 KB |
Output is correct |
9 |
Correct |
532 ms |
16732 KB |
Output is correct |
10 |
Correct |
564 ms |
15444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
740 ms |
17280 KB |
Output is correct |
2 |
Correct |
737 ms |
17064 KB |
Output is correct |
3 |
Correct |
716 ms |
17224 KB |
Output is correct |
4 |
Correct |
706 ms |
17048 KB |
Output is correct |
5 |
Correct |
765 ms |
17196 KB |
Output is correct |
6 |
Correct |
728 ms |
17312 KB |
Output is correct |
7 |
Correct |
739 ms |
17380 KB |
Output is correct |
8 |
Correct |
751 ms |
17212 KB |
Output is correct |
9 |
Correct |
734 ms |
17428 KB |
Output is correct |
10 |
Correct |
727 ms |
17392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
324 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 |
320 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 |
324 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 |
320 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 |
324 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 |
320 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
543 ms |
16724 KB |
Output is correct |
2 |
Correct |
576 ms |
17076 KB |
Output is correct |
3 |
Correct |
563 ms |
17272 KB |
Output is correct |
4 |
Correct |
550 ms |
17148 KB |
Output is correct |
5 |
Correct |
567 ms |
17068 KB |
Output is correct |
6 |
Correct |
542 ms |
16792 KB |
Output is correct |
7 |
Correct |
545 ms |
16764 KB |
Output is correct |
8 |
Correct |
553 ms |
17100 KB |
Output is correct |
9 |
Correct |
556 ms |
16808 KB |
Output is correct |
10 |
Correct |
560 ms |
16952 KB |
Output is correct |
11 |
Correct |
573 ms |
15188 KB |
Output is correct |
12 |
Correct |
583 ms |
15568 KB |
Output is correct |
13 |
Correct |
531 ms |
15152 KB |
Output is correct |
14 |
Correct |
549 ms |
15288 KB |
Output is correct |
15 |
Correct |
536 ms |
16816 KB |
Output is correct |
16 |
Correct |
535 ms |
15144 KB |
Output is correct |
17 |
Correct |
570 ms |
15540 KB |
Output is correct |
18 |
Correct |
569 ms |
17180 KB |
Output is correct |
19 |
Correct |
532 ms |
16732 KB |
Output is correct |
20 |
Correct |
564 ms |
15444 KB |
Output is correct |
21 |
Correct |
740 ms |
17280 KB |
Output is correct |
22 |
Correct |
737 ms |
17064 KB |
Output is correct |
23 |
Correct |
716 ms |
17224 KB |
Output is correct |
24 |
Correct |
706 ms |
17048 KB |
Output is correct |
25 |
Correct |
765 ms |
17196 KB |
Output is correct |
26 |
Correct |
728 ms |
17312 KB |
Output is correct |
27 |
Correct |
739 ms |
17380 KB |
Output is correct |
28 |
Correct |
751 ms |
17212 KB |
Output is correct |
29 |
Correct |
734 ms |
17428 KB |
Output is correct |
30 |
Correct |
727 ms |
17392 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
324 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 |
320 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |