Submission #753303

# Submission time Handle Problem Language Result Execution time Memory
753303 2023-06-05T03:08:18 Z Olympia K blocks (IZhO14_blocks) C++17
32 / 100
51 ms 340 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 = 2; j <= N; j++) {
        	for (int l = j - 1; l >= 0; l--) {
        		if (arr[l] <= arr[j - 1]) {
                	val[l] = prev[l] + arr[j - 1];
                } else {
                	break;
                }
            }
        }
        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]) {
                        ind = l;
                    } else {
                    	break;
                    }
                }
                for (int l = j - 1; l >= ind; l--) {
                    cur[j] = min(cur[j], prev[l]);
                }
                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++) {
      |                    ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 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 0 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 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 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 5 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 224 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 1 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 0 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 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 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 5 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 224 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 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 0 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 1 ms 212 KB Output is correct
31 Correct 0 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 Incorrect 51 ms 212 KB Output isn't correct
40 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 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 0 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 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 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 5 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 224 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 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 0 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 1 ms 212 KB Output is correct
31 Correct 0 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 Incorrect 51 ms 212 KB Output isn't correct
40 Halted 0 ms 0 KB -