#include <bits/stdc++.h>
using namespace std;
#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(0)
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define pb push_back
#define f first
#define s second
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<piii> viii;
const int MAXN = 300100, MAXK = 30;
//const ll MOD = 998244353;
const ll INF = 1e13;
const ld PI = asin(1) * 2;
const ld EPS = 1e-6;
ll n, k;
ll a[MAXN];
ll pref[MAXN];
ll dp[MAXN];
ll cnt[MAXN];
void calc (ll lambda) {
//cout << fixed << setprecision(3) << " lambda = " << lambda << endl;
int bg = 0;
FOR(i, 1, n) {
if (dp[bg] + pref[i] - pref[bg] - lambda > dp[i-1]) {
dp[i] = dp[bg] + pref[i] - pref[bg] - lambda;
cnt[i] = cnt[bg]+1;
} else {
dp[i] = dp[i-1];
cnt[i] = cnt[i-1];
}
if (dp[bg] - pref[bg] < dp[i] - pref[i]) {
bg = i;
}
// cout << fixed << setprecision(2) << " i = " << i << " dp = " << dp[i] << " pref = " << pref[i] << " bg = " << bg << " cnt = " << cnt[i] << endl;
}
}
int main()
{
FAST_IO;
cin >> n >> k;
FOR(i, 1, n) cin >> a[i];
FOR(i, 1, n) pref[i] = pref[i-1] + a[i];
ll le = 0, ri = INF;
while (le < ri) {
ll mid = (le+ri)/2;
calc (mid);
if (cnt[n] <= k) ri = mid;
else le = mid+1;
}
calc (le);
//ll ans = (ll)(round(dp[n] + cnt[n]*le));
ll ans = dp[n] + cnt[n]*le;
cout << ans << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
110 ms |
9996 KB |
Output is correct |
2 |
Correct |
116 ms |
12520 KB |
Output is correct |
3 |
Correct |
120 ms |
12480 KB |
Output is correct |
4 |
Correct |
117 ms |
12608 KB |
Output is correct |
5 |
Correct |
114 ms |
12408 KB |
Output is correct |
6 |
Correct |
112 ms |
12228 KB |
Output is correct |
7 |
Correct |
115 ms |
12324 KB |
Output is correct |
8 |
Correct |
115 ms |
12356 KB |
Output is correct |
9 |
Correct |
119 ms |
12220 KB |
Output is correct |
10 |
Correct |
115 ms |
12356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
90 ms |
9536 KB |
Output is correct |
2 |
Correct |
109 ms |
10744 KB |
Output is correct |
3 |
Correct |
107 ms |
10592 KB |
Output is correct |
4 |
Correct |
99 ms |
10648 KB |
Output is correct |
5 |
Correct |
117 ms |
12352 KB |
Output is correct |
6 |
Correct |
95 ms |
10692 KB |
Output is correct |
7 |
Correct |
104 ms |
10948 KB |
Output is correct |
8 |
Correct |
114 ms |
12420 KB |
Output is correct |
9 |
Correct |
111 ms |
12200 KB |
Output is correct |
10 |
Correct |
98 ms |
10796 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
103 ms |
10308 KB |
Output is correct |
2 |
Correct |
106 ms |
12420 KB |
Output is correct |
3 |
Correct |
105 ms |
12592 KB |
Output is correct |
4 |
Correct |
106 ms |
12480 KB |
Output is correct |
5 |
Correct |
108 ms |
12568 KB |
Output is correct |
6 |
Correct |
107 ms |
12668 KB |
Output is correct |
7 |
Correct |
110 ms |
12700 KB |
Output is correct |
8 |
Correct |
106 ms |
12492 KB |
Output is correct |
9 |
Correct |
107 ms |
12752 KB |
Output is correct |
10 |
Correct |
105 ms |
12644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
272 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
272 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
272 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
110 ms |
9996 KB |
Output is correct |
2 |
Correct |
116 ms |
12520 KB |
Output is correct |
3 |
Correct |
120 ms |
12480 KB |
Output is correct |
4 |
Correct |
117 ms |
12608 KB |
Output is correct |
5 |
Correct |
114 ms |
12408 KB |
Output is correct |
6 |
Correct |
112 ms |
12228 KB |
Output is correct |
7 |
Correct |
115 ms |
12324 KB |
Output is correct |
8 |
Correct |
115 ms |
12356 KB |
Output is correct |
9 |
Correct |
119 ms |
12220 KB |
Output is correct |
10 |
Correct |
115 ms |
12356 KB |
Output is correct |
11 |
Correct |
90 ms |
9536 KB |
Output is correct |
12 |
Correct |
109 ms |
10744 KB |
Output is correct |
13 |
Correct |
107 ms |
10592 KB |
Output is correct |
14 |
Correct |
99 ms |
10648 KB |
Output is correct |
15 |
Correct |
117 ms |
12352 KB |
Output is correct |
16 |
Correct |
95 ms |
10692 KB |
Output is correct |
17 |
Correct |
104 ms |
10948 KB |
Output is correct |
18 |
Correct |
114 ms |
12420 KB |
Output is correct |
19 |
Correct |
111 ms |
12200 KB |
Output is correct |
20 |
Correct |
98 ms |
10796 KB |
Output is correct |
21 |
Correct |
103 ms |
10308 KB |
Output is correct |
22 |
Correct |
106 ms |
12420 KB |
Output is correct |
23 |
Correct |
105 ms |
12592 KB |
Output is correct |
24 |
Correct |
106 ms |
12480 KB |
Output is correct |
25 |
Correct |
108 ms |
12568 KB |
Output is correct |
26 |
Correct |
107 ms |
12668 KB |
Output is correct |
27 |
Correct |
110 ms |
12700 KB |
Output is correct |
28 |
Correct |
106 ms |
12492 KB |
Output is correct |
29 |
Correct |
107 ms |
12752 KB |
Output is correct |
30 |
Correct |
105 ms |
12644 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
272 KB |
Output is correct |
34 |
Correct |
0 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
2 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
332 KB |
Output is correct |
61 |
Correct |
145 ms |
12452 KB |
Output is correct |
62 |
Correct |
157 ms |
12868 KB |
Output is correct |
63 |
Correct |
113 ms |
12356 KB |
Output is correct |
64 |
Correct |
155 ms |
12664 KB |
Output is correct |
65 |
Correct |
141 ms |
12592 KB |
Output is correct |
66 |
Correct |
134 ms |
12612 KB |
Output is correct |
67 |
Correct |
132 ms |
12440 KB |
Output is correct |
68 |
Correct |
105 ms |
12632 KB |
Output is correct |
69 |
Correct |
104 ms |
12356 KB |
Output is correct |
70 |
Correct |
106 ms |
12352 KB |
Output is correct |