oj.uz

Submission #753301

# Submission time Handle Problem Language Result Execution time Memory
753301 2023-06-05T03:03:57 Z Olympia K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 3016 KB 
#include <vector>
#include <iostream>
#include <cassert>
#include <cmath>
#include <map>
#include <set>
using namespace std;
struct SparseTableMin {
	vector<vector<int64_t>> dp;
	int64_t query (int l, int r) {
		assert(l <= r);
		int sz = log2(r - l + 1);
		assert(r - (1 << sz) + 1 < dp.size());
		return min(dp[l][sz], dp[r - (1 << sz) + 1][sz]);
	}
	SparseTableMin (vector<int64_t> a) {
		int n = a.size();
		dp.resize(n);
		for (int i = 0; i < n; i++) {
			dp[i].resize(20);
			dp[i][0] = a[i];
		}
		for (int j = 1; j < dp[0].size(); j++) {
			for (int i = 0; i < a.size(); i++) {
				dp[i][j] = min(dp[i][j - 1], dp[min(i + (1 << (j - 1)), n - 1)][j - 1]);
			}
		}
	}
};
int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int N, K;
    cin >> N >> K;
    int64_t arr[N];
    for (int i = 0; i < N; i++) {
        cin >> arr[i];
    }
    int64_t INF = 1e17;
    vector<int64_t> prev(N + 1), cur(N + 1);
    prev.assign(N + 1, INF), cur.assign(N + 1, INF);
    for (int j = 1; j <= N; j++) {
        prev[j] = ((j == 1) ? arr[0] : max(prev[j - 1], arr[j - 1]));
    }

    for (int i = 2; i <= K; i++) {
        vector<int64_t> val;
        val.assign(N + 1, INF);
        for (int j = 1; j <= N; j++) {
            if (j == 1) {
            	val[0] = prev[0] + arr[0];
            	cur[1] = prev[0] + arr[0];
            } else {
                cur[j] = INF;
                int ind = -1;
                for (int l = j - 1; l >= 0; l--) {
                    if (arr[l] <= arr[j - 1]) {
                        cur[j] = min(cur[j], prev[l]);
                    } else {
                    	break;
                    }
                }
                for (int l = j - 1; l >= 0; l--) {
                    if (arr[l] <= arr[j - 1]) {
                        cur[j] = min(cur[j], prev[l]);
                        val[l] = prev[l] + arr[j - 1];
                        ind = l;
                    } else {
                    	break;
                    }
                }
                cur[j] += arr[j - 1];
                SparseTableMin st(val);
                if (ind != 0) {
                	cur[j] = min(cur[j], st.query(0, ind - 1));
            	}
            }
        }
        swap(cur, prev);
    }
    cout << prev[N];
}

Compilation message

In file included from /usr/include/c++/10/cassert:44,
                 from blocks.cpp:3:
blocks.cpp: In member function 'int64_t SparseTableMin::query(int, int)':
blocks.cpp:13:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   13 |   assert(r - (1 << sz) + 1 < dp.size());
      |          ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~
blocks.cpp: In constructor 'SparseTableMin::SparseTableMin(std::vector<long int>)':
blocks.cpp:23:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   23 |   for (int j = 1; j < dp[0].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~
blocks.cpp:24:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |    for (int i = 0; i < a.size(); i++) {
      |                    ~~^~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory 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 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 5 ms 340 KB Output is correct
14 Correct 4 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 4 ms 212 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory 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 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 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 1 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 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory 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 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 5 ms 340 KB Output is correct
14 Correct 4 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 4 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 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 49 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 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 0 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 27 ms 212 KB Output is correct
52 Correct 28 ms 340 KB Output is correct
53 Correct 100 ms 212 KB Output is correct
54 Correct 97 ms 212 KB Output is correct
55 Correct 57 ms 316 KB Output is correct
56 Correct 122 ms 316 KB Output is correct
57 Correct 107 ms 320 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory 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 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 5 ms 340 KB Output is correct
14 Correct 4 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 4 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 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 49 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 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 0 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 27 ms 212 KB Output is correct
52 Correct 28 ms 340 KB Output is correct
53 Correct 100 ms 212 KB Output is correct
54 Correct 97 ms 212 KB Output is correct
55 Correct 57 ms 316 KB Output is correct
56 Correct 122 ms 316 KB Output is correct
57 Correct 107 ms 320 KB Output is correct
58 Execution timed out 1082 ms 3016 KB Time limit exceeded
59 Halted 0 ms 0 KB -