#include <bits/stdc++.h>
using namespace std;
class segment_tree {
public:
segment_tree(size_t s) {
n = 1;
while (n < s) n <<= 1;
t.assign(2 * n + 1, 1e18);
}
void build(const vector<int> & a, int v, int vl, int vr) {
if (vl == vr) {
t[v] = a[vl];
} else {
int vm = (vl + vr) >> 1;
build(a, v << 1, vl, vm);
build(a, v << 1 | 1, vm + 1, vr);
t[v] = min(t[v << 1], t[v << 1 | 1]);
}
}
void build(const vector<int> & a) {
build(a, 1, 0, n - 1);
}
void update(int i, long long x) {
i += n;
t[i] = x;
for (i /= 2; i >= 1; i /= 2) {
t[i] = min(t[i << 1], t[i << 1 | 1]);
}
}
long long query(int l, int r) {
l += n; r += n;
long long ans = 1e18;
while (l <= r) {
if (l % 2 == 1) ans = min(ans, t[l++]);
if (r % 2 == 0) ans = min(ans, t[r--]);
l >>= 1; r >>= 1;
}
return ans;
}
private:
int n;
vector<long long> t;
};
class sparse_table {
public:
sparse_table(vector<int>&a) : n(a.size()) {
lg.resize(1 + n);
lg[0] = lg[1] = 0;
for (int i = 2; i <= n; i++)
lg[i] = lg[i / 2] + 1;
mx.assign(n, vector<int>(1 + lg[n]));
for (int j = 0; j <= lg[n]; j++)
for (int i = 0; i <= n - (1 << j); i++)
if (j == 0) mx[i][j] = a[i];
else mx[i][j] = max(mx[i][j-1], mx[i+(1<<(j-1))][j-1]);
}
int query(int l, int r) {
int d = lg[r-l+1];
return max(mx[l][d], mx[r-(1<<d)+1][d]);
}
private:
int n;
vector<int> lg;
vector<vector<int>> mx;
};
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n, k;
cin >> n >> k;
vector<int> a(1 + n);
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
sparse_table st(a);
segment_tree str(n + 1);
vector<vector<long long>> dp(1 + n, vector<long long>(1 + k, 1e18));
for (int i = 1; i <= n; i++) {
dp[i][1] = st.query(1, i);
str.update(i, dp[i][1]);
}
vector<int> left(n + 1, 0);
for (int i = 2; i <= n; i++) {
int l = 1, r = i;
while (l < r) {
int m = (l + r) >> 1;
if (st.query(m, i) == a[i])
r = m;
else
l = m + 1;
}
left[i] = r;
}
int K = k;
for (int k = 2; k <= K; k++) {
for (int i = 2; i <= n; i++) {
int r = left[i];
dp[i][k] = min(dp[i][k], dp[r - 1][k]);
if (st.query(r, i) == a[i]) {
long long mn = str.query(r - 1, i - 1);
dp[i][k] = min(dp[i][k], mn + a[i]);
}
}
for (int i = 1; i <= n; i++) {
a[i] = dp[i][k];
}
str.build(a);
}
cout << dp[n][k] << '\n';
return 0;
}
Compilation message
blocks.cpp: In constructor 'segment_tree::segment_tree(size_t)':
blocks.cpp:9:12: warning: comparison of integer expressions of different signedness: 'int' and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
9 | while (n < s) n <<= 1;
| ~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Incorrect |
0 ms |
204 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |