oj.uz

Submission #523753

# Submission time Handle Problem Language Result Execution time Memory
523753 2022-02-08T06:12:11 Z boykut K blocks (IZhO14_blocks) C++14
53 / 100
 1000 ms 95404 KB 
#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, 1e18);
	}
	void update(int i, long long x, int v, int vl, int vr) {
		if (vl == vr) {
			t[v] = x;
		} else {
			int vm = vl + vr >> 1;
			if (i <= vm)
				update(i, x, v << 1, vl, vm);
			else
				update(i, x, v << 1 | 1, vm + 1, vr);
			t[v] = min(t[v << 1], t[v << 1 | 1]);
		}
	}
	void update(int i, long long x) {
		update(i, x, 1, 0, n - 1);
	}
	long long query(int l, int r, int v, int vl, int vr) {
		if (l > vr || vl > r) return 1e18;
		if (l <= vl && vr <= r) return t[v];
		int vm = vl + vr >> 1;
		auto q1 = query(l, r, v << 1, vl, vm);
		auto q2 = query(l, r, v << 1 | 1, vm + 1, vr);
		return min(q1, q2);
	}
	long long query(int l, int r) {
		return query(l, r, 1, 0, n - 1);
	}
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]);
	}

	int K = k;
	for (int k = 2; k <= K; k++) {
		for (int i = 2; i <= n; i++) {
			int l = 1, r = i;
			while (l < r) {
				int m = (l + r) / 2;
				if (st.query(m, i) == a[i])
					r = m;
				else
					l = m + 1;
			}
			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++) {
			str.update(i, dp[i][k]);
		}
	}

	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;
      |          ~~^~~
blocks.cpp: In member function 'void segment_tree::update(int, long long int, int, int, int)':
blocks.cpp:16:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   16 |    int vm = vl + vr >> 1;
      |             ~~~^~~~
blocks.cpp: In member function 'long long int segment_tree::query(int, int, int, int, int)':
blocks.cpp:30:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   30 |   int vm = vl + vr >> 1;
      |            ~~~^~~~

Subtask #1
14.0 / 14.0

# 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 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 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 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct

Subtask #3
21.0 / 21.0

# 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 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 0 ms 204 KB Output is correct
45 Correct 1 ms 204 KB Output is correct
46 Correct 0 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 332 KB Output is correct
52 Correct 1 ms 332 KB Output is correct
53 Correct 2 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 2 ms 300 KB Output is correct
57 Correct 1 ms 332 KB Output is correct

Subtask #4
0 / 47.0

# 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 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 0 ms 204 KB Output is correct
45 Correct 1 ms 204 KB Output is correct
46 Correct 0 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 332 KB Output is correct
52 Correct 1 ms 332 KB Output is correct
53 Correct 2 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 2 ms 300 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 53 ms 3936 KB Output is correct
59 Correct 15 ms 8652 KB Output is correct
60 Correct 92 ms 10736 KB Output is correct
61 Correct 882 ms 34400 KB Output is correct
62 Execution timed out 1099 ms 95404 KB Time limit exceeded
63 Halted 0 ms 0 KB -