//{{{
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using VLL = vector<LL>;
using vi = vector<int>;
using pii = pair<int, int>;
#define sz(x) (int)((x).size())
#define all(x) (x).begin(), (x).end()
#define clr(a, b) memset(a, b, sizeof(a))
#ifdef LOCAL
#include "prettyprint.hpp"
// clang-format off
void _print() { cerr << "]\033[0m\n"; }
template <typename T> void __print(T x) { cerr << x; }
template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); }
#define debug(x...) cerr << "\033[1;34m[" << #x << "] = \033[1;32m["; _print(x)
#define debug_arr(x...) cerr << "\033[1;34m[" << #x << "] = \033[1;32m" << (x) << "\033[0m\n"
#else
#define debug(x...)
#define debug_arr(x...)
#endif
// clang-format on
//}}}
const int N = 3e5 + 10;
// const int N = 10;
int n, k;
int a[N];
LL s[N];
LL dp[N];
LL cnt[N];
LL minf[N];
LL minf_p[N];
int check(LL c)
{
for (int i = 0; i <= n; i++) dp[i] = INT_MIN;
dp[0] = 0, cnt[0] = 0;
minf[0] = dp[0] - s[0];
minf_p[0] = 0;
for (int i = 1; i <= n; i++)
{
dp[i] = dp[i - 1];
cnt[i] = cnt[i - 1];
if (minf[i - 1] + s[i] - c > dp[i])
{
dp[i] = minf[i - 1] + s[i] - c;
// debug(i, dp[i]);
cnt[i] = cnt[minf_p[i - 1]] + 1;
}
minf[i] = minf[i - 1];
minf_p[i] = minf_p[i - 1];
if (dp[i] - s[i] > minf[i])
{
minf[i] = dp[i] - s[i];
minf_p[i] = i;
}
}
// if (cnt[n] == 0) return k + 1;
return cnt[n];
}
int main()
{
#ifdef LOCAL
freopen("in", "r", stdin);
// freopen("out", "w", stdout);
#endif
ios::sync_with_stdio(false);
cin.tie(0);
while (cin >> n >> k)
{
for (int i = 1; i <= n; ++i) cin >> a[i];
s[0] = 0;
for (int i = 1; i <= n; ++i) s[i] = s[i - 1] + a[i];
// mid越大 段数越小
// 段数不超过k
// mid尽可能小
LL lo = -1e15, hi = 1e15;
while (lo + 1 < hi)
{
LL mid = lo + (hi - lo) / 2;
if (check(mid) <= k) hi = mid;
else
lo = mid;
}
debug(lo, hi);
int v = check(hi);
debug(hi, v);
debug(cnt[n], k, dp[n]);
LL ans = dp[n] + hi * cnt[n];
ans = max(ans, 0ll);
cout << ans << endl;
}
return 0;
}
Compilation message
feast.cpp: In function 'int main()':
feast.cpp:102:13: warning: unused variable 'v' [-Wunused-variable]
102 | int v = check(hi);
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
93 ms |
15596 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
84 ms |
14060 KB |
Output is correct |
2 |
Correct |
109 ms |
14316 KB |
Output is correct |
3 |
Correct |
90 ms |
14080 KB |
Output is correct |
4 |
Incorrect |
90 ms |
14188 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
16108 KB |
Output is correct |
2 |
Correct |
121 ms |
15980 KB |
Output is correct |
3 |
Correct |
120 ms |
16108 KB |
Output is correct |
4 |
Correct |
118 ms |
15980 KB |
Output is correct |
5 |
Correct |
118 ms |
16056 KB |
Output is correct |
6 |
Correct |
126 ms |
16236 KB |
Output is correct |
7 |
Correct |
122 ms |
16236 KB |
Output is correct |
8 |
Correct |
141 ms |
16108 KB |
Output is correct |
9 |
Correct |
153 ms |
16236 KB |
Output is correct |
10 |
Correct |
121 ms |
16236 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
93 ms |
15596 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |