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Submission #217894

# Submission time Handle Problem Language Result Execution time Memory
217894 2020-03-31T07:56:02 Z quocnguyen1012 Feast (NOI19_feast) C++14
100 / 100
 289 ms 14072 KB 
#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back

using namespace std;
typedef long long ll;
typedef pair<int, int> ii;

const int maxn = 3e5 + 5;

int a[maxn], N, K;
pair<ll, int> f[maxn][2];

pair<ll, int> best(pair<ll, int> a, pair<ll, int> b)
{
  if(a.fi == b.fi) return a.se < b.se ? a : b;
  return a.fi > b.fi ? a : b;
}

pair<ll, int> operator - (pair<ll, int> a, ll x)
{
  return mp(a.fi - x, a.se + 1);
}

pair<ll, int> operator + (pair<ll, int> a, ll x)
{
  return mp(a.fi + x, a.se);
}

pair<ll, int> solve(ll cost)
{
  for(int i = 1; i <= N; ++i){
    f[i][0] = best(f[i - 1][0], f[i - 1][1] - cost);
    f[i][1] = best(f[i - 1][0], f[i - 1][1]) + a[i];
  }
  return best(f[N][0], f[N][1] - cost);
}

signed main(void)
{
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #ifdef LOCAL
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  #endif // LOCAL
  cin >> N >> K;
  for(int i = 1; i <= N; ++i){
    cin >> a[i];
  }
  ll l = 0, r = 1e15, mid;
  while(l <= r){
    mid = (l + r) / 2;
    if(solve(mid).se > K) l = mid + 1;
    else r = mid  - 1;
  }
  cout << solve(l).fi + l * K;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 256 ms 11000 KB Output is correct
2 Correct 259 ms 11000 KB Output is correct
3 Correct 264 ms 11176 KB Output is correct
4 Correct 262 ms 11152 KB Output is correct
5 Correct 259 ms 11000 KB Output is correct
6 Correct 257 ms 11000 KB Output is correct
7 Correct 258 ms 10872 KB Output is correct
8 Correct 264 ms 11128 KB Output is correct
9 Correct 259 ms 11000 KB Output is correct
10 Correct 258 ms 11004 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 223 ms 10872 KB Output is correct
2 Correct 240 ms 11136 KB Output is correct
3 Correct 233 ms 10872 KB Output is correct
4 Correct 232 ms 11128 KB Output is correct
5 Correct 271 ms 10872 KB Output is correct
6 Correct 234 ms 10872 KB Output is correct
7 Correct 236 ms 11256 KB Output is correct
8 Correct 261 ms 11128 KB Output is correct
9 Correct 258 ms 10744 KB Output is correct
10 Correct 234 ms 11132 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 245 ms 11000 KB Output is correct
2 Correct 245 ms 13688 KB Output is correct
3 Correct 246 ms 13816 KB Output is correct
4 Correct 243 ms 13688 KB Output is correct
5 Correct 248 ms 13816 KB Output is correct
6 Correct 248 ms 13816 KB Output is correct
7 Correct 247 ms 13944 KB Output is correct
8 Correct 247 ms 13944 KB Output is correct
9 Correct 248 ms 13944 KB Output is correct
10 Correct 247 ms 13944 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 20 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 20 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 20 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 7 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 6 ms 512 KB Output is correct
25 Correct 6 ms 384 KB Output is correct
26 Correct 6 ms 384 KB Output is correct
27 Correct 7 ms 512 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 6 ms 384 KB Output is correct
30 Correct 6 ms 384 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 256 ms 11000 KB Output is correct
2 Correct 259 ms 11000 KB Output is correct
3 Correct 264 ms 11176 KB Output is correct
4 Correct 262 ms 11152 KB Output is correct
5 Correct 259 ms 11000 KB Output is correct
6 Correct 257 ms 11000 KB Output is correct
7 Correct 258 ms 10872 KB Output is correct
8 Correct 264 ms 11128 KB Output is correct
9 Correct 259 ms 11000 KB Output is correct
10 Correct 258 ms 11004 KB Output is correct
11 Correct 223 ms 10872 KB Output is correct
12 Correct 240 ms 11136 KB Output is correct
13 Correct 233 ms 10872 KB Output is correct
14 Correct 232 ms 11128 KB Output is correct
15 Correct 271 ms 10872 KB Output is correct
16 Correct 234 ms 10872 KB Output is correct
17 Correct 236 ms 11256 KB Output is correct
18 Correct 261 ms 11128 KB Output is correct
19 Correct 258 ms 10744 KB Output is correct
20 Correct 234 ms 11132 KB Output is correct
21 Correct 245 ms 11000 KB Output is correct
22 Correct 245 ms 13688 KB Output is correct
23 Correct 246 ms 13816 KB Output is correct
24 Correct 243 ms 13688 KB Output is correct
25 Correct 248 ms 13816 KB Output is correct
26 Correct 248 ms 13816 KB Output is correct
27 Correct 247 ms 13944 KB Output is correct
28 Correct 247 ms 13944 KB Output is correct
29 Correct 248 ms 13944 KB Output is correct
30 Correct 247 ms 13944 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 20 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct
38 Correct 5 ms 384 KB Output is correct
39 Correct 5 ms 384 KB Output is correct
40 Correct 5 ms 384 KB Output is correct
41 Correct 5 ms 384 KB Output is correct
42 Correct 5 ms 384 KB Output is correct
43 Correct 5 ms 384 KB Output is correct
44 Correct 5 ms 384 KB Output is correct
45 Correct 5 ms 384 KB Output is correct
46 Correct 5 ms 384 KB Output is correct
47 Correct 5 ms 384 KB Output is correct
48 Correct 5 ms 384 KB Output is correct
49 Correct 5 ms 384 KB Output is correct
50 Correct 5 ms 384 KB Output is correct
51 Correct 7 ms 512 KB Output is correct
52 Correct 6 ms 512 KB Output is correct
53 Correct 6 ms 384 KB Output is correct
54 Correct 6 ms 512 KB Output is correct
55 Correct 6 ms 384 KB Output is correct
56 Correct 6 ms 384 KB Output is correct
57 Correct 7 ms 512 KB Output is correct
58 Correct 6 ms 512 KB Output is correct
59 Correct 6 ms 384 KB Output is correct
60 Correct 6 ms 384 KB Output is correct
61 Correct 287 ms 13628 KB Output is correct
62 Correct 289 ms 14072 KB Output is correct
63 Correct 253 ms 13688 KB Output is correct
64 Correct 288 ms 13944 KB Output is correct
65 Correct 277 ms 13944 KB Output is correct
66 Correct 278 ms 13976 KB Output is correct
67 Correct 269 ms 13688 KB Output is correct
68 Correct 254 ms 13944 KB Output is correct
69 Correct 244 ms 13560 KB Output is correct
70 Correct 243 ms 13560 KB Output is correct