oj.uz

Submission #753272

# Submission time Handle Problem Language Result Execution time Memory
753272 2023-06-05T00:15:02 Z Olympia K blocks (IZhO14_blocks) C++17
32 / 100
 20 ms 37312 KB 
#include <vector>
#include <iostream>
#include <cassert>
#include <cmath>
#include <algorithm>
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#include <map>
#include <set>
using namespace std;
vector<int64_t> p;
const int MX = 131072;
//const int MX = 30;
struct SparseTable {
    int64_t dp[MX][18];
    int64_t query (int l, int r) {
        int sz = log2(r - l + 1);
        return min(dp[l][sz], dp[r - (1 << sz) + 1][sz]);
    }
    void upd (vector<int64_t> &a) {
        for (int j = 0; j < 18; j++) {
            for (int i = 0; i < a.size(); i++) {
                if (j == 0) {
                    dp[i][j] = a[i];
                } else {
                    dp[i][j] = min(dp[i][j - 1], dp[min(i + (1 << (j - 1)), (int)a.size() - 1)][j - 1]);
                }
            }
        }
    }
};
int64_t query (vector<int64_t>& val, int l, int r) {
	int64_t ans = 1e17;
	for (int i = l; i <= r; i++) {
		ans = min(ans, val[i]);
	}
	return ans;
}
void process (vector<int64_t> &val, vector<pair<pair<int,int>, int>> intervals) {
	reverse(intervals.begin(), intervals.end());
	set<int> unused;
	for (int i = 0; i < val.size(); i++) {
		unused.insert(i);
	}
	for (auto& p: intervals) {
		while (unused.lower_bound(p.first.first) != unused.end() and *unused.lower_bound(p.first.first) <= p.first.second) {
			auto it = unused.lower_bound(p.first.first);
			val[*it] = p.second;
			unused.erase(*it);
		}
	}
}
int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int N, K;
    cin >> N >> K;
    vector<int64_t> arr(N);
    for (int i = 0; i < N; i++) {
        cin >> arr[i];
    }
    int64_t INF = 1e17;
    vector<int64_t> cur(N + 1);
    p.assign(N + 1, INF), cur.assign(N + 1, INF);
    for (int j = 1; j <= N; j++) {
        p[j] = ((j == 1) ? arr[0] : max(p[j - 1], arr[j - 1]));
    }
    for (int i = 0; i < arr.size(); i++) {
        arr[i] = -arr[i];
    }
    SparseTable st_a;
    st_a.upd(arr);
    for (int i = 0; i < arr.size(); i++) {
        arr[i] = -arr[i];
    }
    int nxt[N];
    for (int j = 0; j < N; j++) {
        int l = 0;
        int r = j;
        while (l != r) {
            int m = (l + r)/2;
            if (st_a.query(m, j) == -arr[j]) {
                r = m;
            } else {
                l = m + 1;
            }
        }
        nxt[j] = l;
    }
    while (__builtin_popcount(p.size()) != 1) {
        p.push_back(0);
        cur.push_back(0);
    }
    SparseTable st_p;
    vector<int64_t> val;
    val.assign(N + 1, 0);
    for (int i = 2; i <= K; i++) {
        for (int j = 0; j < val.size(); j++) {
        	val[j] = 0;
        }
        st_p.upd(p);
        vector<pair<pair<int,int>,int>> vec;
        for (int j = 1; j <= N; j++) {
        	vec.push_back(make_pair(make_pair(nxt[j - 1], j - 1), arr[j - 1]));
        }
        process(val, vec);
        for (int j = 0; j < val.size(); j++) {
        	val[j] += p[j];
        }
        for (int j = 1; j <= N; j++) {
            if (j == 1) {
                cur[j] = p[0] + arr[0];
            } else {
                cur[j] = min(query(val, 0, nxt[j - 1] - 1), arr[j - 1] + st_p.query(nxt[j - 1], j - 1));
            }
        }
        swap(cur, p);
        if (p == cur) {
            break;
        }
    }
    cout << p[N];
 
}

Compilation message

blocks.cpp:7: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    7 | #pragma GCC optimization ("O3")
      | 
blocks.cpp:8: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    8 | #pragma GCC optimization ("unroll-loops")
      | 
blocks.cpp: In member function 'void SparseTable::upd(std::vector<long int>&)':
blocks.cpp:23:31: 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 i = 0; i < a.size(); i++) {
      |                             ~~^~~~~~~~~~
blocks.cpp: In function 'void process(std::vector<long int>&, std::vector<std::pair<std::pair<int, int>, int> >)':
blocks.cpp:43:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |  for (int i = 0; i < val.size(); i++) {
      |                  ~~^~~~~~~~~~~~
blocks.cpp: In function 'int main()':
blocks.cpp:69:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:74:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:99:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |         for (int j = 0; j < val.size(); j++) {
      |                         ~~^~~~~~~~~~~~
blocks.cpp:108:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |         for (int j = 0; j < val.size(); j++) {
      |                         ~~^~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 37204 KB Output is correct
2 Correct 14 ms 37236 KB Output is correct
3 Correct 15 ms 37204 KB Output is correct
4 Correct 16 ms 37204 KB Output is correct
5 Correct 16 ms 37168 KB Output is correct
6 Correct 16 ms 37204 KB Output is correct
7 Correct 14 ms 37204 KB Output is correct
8 Correct 17 ms 37236 KB Output is correct
9 Correct 15 ms 37216 KB Output is correct
10 Correct 16 ms 37248 KB Output is correct
11 Correct 15 ms 37204 KB Output is correct
12 Correct 15 ms 37148 KB Output is correct
13 Correct 16 ms 37172 KB Output is correct
14 Correct 16 ms 37256 KB Output is correct
15 Correct 16 ms 37204 KB Output is correct
16 Correct 20 ms 37244 KB Output is correct
17 Correct 17 ms 37312 KB Output is correct
18 Correct 16 ms 37216 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 37236 KB Output is correct
2 Correct 15 ms 37244 KB Output is correct
3 Correct 16 ms 37176 KB Output is correct
4 Correct 15 ms 37204 KB Output is correct
5 Correct 15 ms 37252 KB Output is correct
6 Correct 14 ms 37168 KB Output is correct
7 Correct 15 ms 37204 KB Output is correct
8 Correct 15 ms 37204 KB Output is correct
9 Correct 15 ms 37128 KB Output is correct
10 Correct 15 ms 37204 KB Output is correct
11 Correct 15 ms 37200 KB Output is correct
12 Correct 15 ms 37204 KB Output is correct
13 Correct 17 ms 37156 KB Output is correct
14 Correct 16 ms 37204 KB Output is correct
15 Correct 15 ms 37208 KB Output is correct
16 Correct 16 ms 37204 KB Output is correct
17 Correct 15 ms 37204 KB Output is correct
18 Correct 15 ms 37204 KB Output is correct
19 Correct 16 ms 37204 KB Output is correct
20 Correct 15 ms 37172 KB Output is correct

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 37204 KB Output is correct
2 Correct 14 ms 37236 KB Output is correct
3 Correct 15 ms 37204 KB Output is correct
4 Correct 16 ms 37204 KB Output is correct
5 Correct 16 ms 37168 KB Output is correct
6 Correct 16 ms 37204 KB Output is correct
7 Correct 14 ms 37204 KB Output is correct
8 Correct 17 ms 37236 KB Output is correct
9 Correct 15 ms 37216 KB Output is correct
10 Correct 16 ms 37248 KB Output is correct
11 Correct 15 ms 37204 KB Output is correct
12 Correct 15 ms 37148 KB Output is correct
13 Correct 16 ms 37172 KB Output is correct
14 Correct 16 ms 37256 KB Output is correct
15 Correct 16 ms 37204 KB Output is correct
16 Correct 20 ms 37244 KB Output is correct
17 Correct 17 ms 37312 KB Output is correct
18 Correct 16 ms 37216 KB Output is correct
19 Correct 15 ms 37236 KB Output is correct
20 Correct 15 ms 37244 KB Output is correct
21 Correct 16 ms 37176 KB Output is correct
22 Correct 15 ms 37204 KB Output is correct
23 Correct 15 ms 37252 KB Output is correct
24 Correct 14 ms 37168 KB Output is correct
25 Correct 15 ms 37204 KB Output is correct
26 Correct 15 ms 37204 KB Output is correct
27 Correct 15 ms 37128 KB Output is correct
28 Correct 15 ms 37204 KB Output is correct
29 Correct 15 ms 37200 KB Output is correct
30 Correct 15 ms 37204 KB Output is correct
31 Correct 17 ms 37156 KB Output is correct
32 Correct 16 ms 37204 KB Output is correct
33 Correct 15 ms 37208 KB Output is correct
34 Correct 16 ms 37204 KB Output is correct
35 Correct 15 ms 37204 KB Output is correct
36 Correct 15 ms 37204 KB Output is correct
37 Correct 16 ms 37204 KB Output is correct
38 Correct 15 ms 37172 KB Output is correct
39 Incorrect 16 ms 37252 KB Output isn't correct
40 Halted 0 ms 0 KB -

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 37204 KB Output is correct
2 Correct 14 ms 37236 KB Output is correct
3 Correct 15 ms 37204 KB Output is correct
4 Correct 16 ms 37204 KB Output is correct
5 Correct 16 ms 37168 KB Output is correct
6 Correct 16 ms 37204 KB Output is correct
7 Correct 14 ms 37204 KB Output is correct
8 Correct 17 ms 37236 KB Output is correct
9 Correct 15 ms 37216 KB Output is correct
10 Correct 16 ms 37248 KB Output is correct
11 Correct 15 ms 37204 KB Output is correct
12 Correct 15 ms 37148 KB Output is correct
13 Correct 16 ms 37172 KB Output is correct
14 Correct 16 ms 37256 KB Output is correct
15 Correct 16 ms 37204 KB Output is correct
16 Correct 20 ms 37244 KB Output is correct
17 Correct 17 ms 37312 KB Output is correct
18 Correct 16 ms 37216 KB Output is correct
19 Correct 15 ms 37236 KB Output is correct
20 Correct 15 ms 37244 KB Output is correct
21 Correct 16 ms 37176 KB Output is correct
22 Correct 15 ms 37204 KB Output is correct
23 Correct 15 ms 37252 KB Output is correct
24 Correct 14 ms 37168 KB Output is correct
25 Correct 15 ms 37204 KB Output is correct
26 Correct 15 ms 37204 KB Output is correct
27 Correct 15 ms 37128 KB Output is correct
28 Correct 15 ms 37204 KB Output is correct
29 Correct 15 ms 37200 KB Output is correct
30 Correct 15 ms 37204 KB Output is correct
31 Correct 17 ms 37156 KB Output is correct
32 Correct 16 ms 37204 KB Output is correct
33 Correct 15 ms 37208 KB Output is correct
34 Correct 16 ms 37204 KB Output is correct
35 Correct 15 ms 37204 KB Output is correct
36 Correct 15 ms 37204 KB Output is correct
37 Correct 16 ms 37204 KB Output is correct
38 Correct 15 ms 37172 KB Output is correct
39 Incorrect 16 ms 37252 KB Output isn't correct
40 Halted 0 ms 0 KB -