#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
vector<ll> a;
pair<ll, int> choose(pair<ll, int> a, pair<ll, int> b){
if (a.first == b.first) return min(a, b);
return max(a, b);
}
pair<ll, int> calc(ll bm){
int n = a.size();
pair<ll, int> pfmax(0, 0);
pair<ll, int> prevdp(0, 0);
for (int i=0; i<n; i++){
// dp[i] = max(dp[i-1], dp[k-1] + pf[i] - pf[k-1] - bm)
// (dp[k-1] - pf[k-1]) + pf[i] - bm
pair<ll, int> cdp = prevdp;
cdp = choose(cdp, pair<ll, int> (pfmax.first + a[i] - bm,
pfmax.second + 1));
pfmax = choose(pfmax, pair<ll, int> (cdp.first - a[i], cdp.second));
prevdp = cdp;
}
return prevdp;
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
int n, k; cin >> n >> k;
a.resize(n);
for (int i=0; i<n; i++) cin >> a[i];
partial_sum(a.begin(), a.end(), a.begin());
ll bl=0, br=1e18;
vector<pair<ll, int>> dp(n);
while (bl < br){
ll bm = (bl + br) >> 1;
if (calc(bm).second > k) bl = bm+1;
else br = bm;
}
pair<ll, int> s = calc(bl);
cout << s.first + k * bl << "\n";
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
79 ms |
7140 KB |
Output is correct |
| 2 |
Correct |
82 ms |
7264 KB |
Output is correct |
| 3 |
Correct |
83 ms |
7356 KB |
Output is correct |
| 4 |
Correct |
86 ms |
7392 KB |
Output is correct |
| 5 |
Correct |
80 ms |
7248 KB |
Output is correct |
| 6 |
Correct |
80 ms |
7148 KB |
Output is correct |
| 7 |
Correct |
86 ms |
7084 KB |
Output is correct |
| 8 |
Correct |
80 ms |
7292 KB |
Output is correct |
| 9 |
Correct |
79 ms |
7088 KB |
Output is correct |
| 10 |
Correct |
85 ms |
7228 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
73 ms |
7196 KB |
Output is correct |
| 2 |
Correct |
75 ms |
7348 KB |
Output is correct |
| 3 |
Correct |
73 ms |
7172 KB |
Output is correct |
| 4 |
Correct |
73 ms |
7252 KB |
Output is correct |
| 5 |
Correct |
80 ms |
7096 KB |
Output is correct |
| 6 |
Correct |
73 ms |
7168 KB |
Output is correct |
| 7 |
Correct |
74 ms |
7356 KB |
Output is correct |
| 8 |
Correct |
82 ms |
7268 KB |
Output is correct |
| 9 |
Correct |
80 ms |
7116 KB |
Output is correct |
| 10 |
Correct |
75 ms |
7308 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
85 ms |
7276 KB |
Output is correct |
| 2 |
Correct |
83 ms |
7084 KB |
Output is correct |
| 3 |
Correct |
85 ms |
7260 KB |
Output is correct |
| 4 |
Correct |
83 ms |
7196 KB |
Output is correct |
| 5 |
Correct |
84 ms |
7252 KB |
Output is correct |
| 6 |
Correct |
85 ms |
7264 KB |
Output is correct |
| 7 |
Correct |
88 ms |
7244 KB |
Output is correct |
| 8 |
Correct |
83 ms |
7256 KB |
Output is correct |
| 9 |
Correct |
85 ms |
7276 KB |
Output is correct |
| 10 |
Correct |
85 ms |
7280 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
0 ms |
212 KB |
Output is correct |
| 8 |
Correct |
0 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
0 ms |
212 KB |
Output is correct |
| 8 |
Correct |
0 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Correct |
0 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
0 ms |
212 KB |
Output is correct |
| 16 |
Correct |
0 ms |
212 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
0 ms |
212 KB |
Output is correct |
| 20 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
0 ms |
212 KB |
Output is correct |
| 8 |
Correct |
0 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Correct |
0 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
0 ms |
212 KB |
Output is correct |
| 16 |
Correct |
0 ms |
212 KB |
Output is correct |
| 17 |
Correct |
0 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
0 ms |
212 KB |
Output is correct |
| 20 |
Correct |
0 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
340 KB |
Output is correct |
| 22 |
Correct |
1 ms |
340 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
340 KB |
Output is correct |
| 25 |
Correct |
1 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
1 ms |
340 KB |
Output is correct |
| 28 |
Correct |
1 ms |
340 KB |
Output is correct |
| 29 |
Correct |
1 ms |
340 KB |
Output is correct |
| 30 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
79 ms |
7140 KB |
Output is correct |
| 2 |
Correct |
82 ms |
7264 KB |
Output is correct |
| 3 |
Correct |
83 ms |
7356 KB |
Output is correct |
| 4 |
Correct |
86 ms |
7392 KB |
Output is correct |
| 5 |
Correct |
80 ms |
7248 KB |
Output is correct |
| 6 |
Correct |
80 ms |
7148 KB |
Output is correct |
| 7 |
Correct |
86 ms |
7084 KB |
Output is correct |
| 8 |
Correct |
80 ms |
7292 KB |
Output is correct |
| 9 |
Correct |
79 ms |
7088 KB |
Output is correct |
| 10 |
Correct |
85 ms |
7228 KB |
Output is correct |
| 11 |
Correct |
73 ms |
7196 KB |
Output is correct |
| 12 |
Correct |
75 ms |
7348 KB |
Output is correct |
| 13 |
Correct |
73 ms |
7172 KB |
Output is correct |
| 14 |
Correct |
73 ms |
7252 KB |
Output is correct |
| 15 |
Correct |
80 ms |
7096 KB |
Output is correct |
| 16 |
Correct |
73 ms |
7168 KB |
Output is correct |
| 17 |
Correct |
74 ms |
7356 KB |
Output is correct |
| 18 |
Correct |
82 ms |
7268 KB |
Output is correct |
| 19 |
Correct |
80 ms |
7116 KB |
Output is correct |
| 20 |
Correct |
75 ms |
7308 KB |
Output is correct |
| 21 |
Correct |
85 ms |
7276 KB |
Output is correct |
| 22 |
Correct |
83 ms |
7084 KB |
Output is correct |
| 23 |
Correct |
85 ms |
7260 KB |
Output is correct |
| 24 |
Correct |
83 ms |
7196 KB |
Output is correct |
| 25 |
Correct |
84 ms |
7252 KB |
Output is correct |
| 26 |
Correct |
85 ms |
7264 KB |
Output is correct |
| 27 |
Correct |
88 ms |
7244 KB |
Output is correct |
| 28 |
Correct |
83 ms |
7256 KB |
Output is correct |
| 29 |
Correct |
85 ms |
7276 KB |
Output is correct |
| 30 |
Correct |
85 ms |
7280 KB |
Output is correct |
| 31 |
Correct |
0 ms |
212 KB |
Output is correct |
| 32 |
Correct |
0 ms |
212 KB |
Output is correct |
| 33 |
Correct |
0 ms |
212 KB |
Output is correct |
| 34 |
Correct |
0 ms |
212 KB |
Output is correct |
| 35 |
Correct |
1 ms |
212 KB |
Output is correct |
| 36 |
Correct |
0 ms |
212 KB |
Output is correct |
| 37 |
Correct |
0 ms |
212 KB |
Output is correct |
| 38 |
Correct |
0 ms |
212 KB |
Output is correct |
| 39 |
Correct |
1 ms |
212 KB |
Output is correct |
| 40 |
Correct |
0 ms |
212 KB |
Output is correct |
| 41 |
Correct |
1 ms |
212 KB |
Output is correct |
| 42 |
Correct |
0 ms |
212 KB |
Output is correct |
| 43 |
Correct |
0 ms |
212 KB |
Output is correct |
| 44 |
Correct |
1 ms |
212 KB |
Output is correct |
| 45 |
Correct |
0 ms |
212 KB |
Output is correct |
| 46 |
Correct |
0 ms |
212 KB |
Output is correct |
| 47 |
Correct |
0 ms |
212 KB |
Output is correct |
| 48 |
Correct |
0 ms |
212 KB |
Output is correct |
| 49 |
Correct |
0 ms |
212 KB |
Output is correct |
| 50 |
Correct |
0 ms |
212 KB |
Output is correct |
| 51 |
Correct |
1 ms |
340 KB |
Output is correct |
| 52 |
Correct |
1 ms |
340 KB |
Output is correct |
| 53 |
Correct |
1 ms |
340 KB |
Output is correct |
| 54 |
Correct |
1 ms |
340 KB |
Output is correct |
| 55 |
Correct |
1 ms |
340 KB |
Output is correct |
| 56 |
Correct |
1 ms |
340 KB |
Output is correct |
| 57 |
Correct |
1 ms |
340 KB |
Output is correct |
| 58 |
Correct |
1 ms |
340 KB |
Output is correct |
| 59 |
Correct |
1 ms |
340 KB |
Output is correct |
| 60 |
Correct |
1 ms |
340 KB |
Output is correct |
| 61 |
Correct |
83 ms |
7172 KB |
Output is correct |
| 62 |
Correct |
89 ms |
7244 KB |
Output is correct |
| 63 |
Correct |
81 ms |
7092 KB |
Output is correct |
| 64 |
Correct |
93 ms |
7252 KB |
Output is correct |
| 65 |
Correct |
84 ms |
7292 KB |
Output is correct |
| 66 |
Correct |
84 ms |
7284 KB |
Output is correct |
| 67 |
Correct |
82 ms |
7100 KB |
Output is correct |
| 68 |
Correct |
83 ms |
7300 KB |
Output is correct |
| 69 |
Correct |
83 ms |
7092 KB |
Output is correct |
| 70 |
Correct |
87 ms |
7136 KB |
Output is correct |
