oj.uz

Submission #753233

# Submission time Handle Problem Language Result Execution time Memory
753233 2023-06-04T22:28:44 Z Olympia K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 59152 KB 
#include <vector>
#include <iostream>
#include <cassert>
#include <cmath>
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#include <map>
#include <set>
using namespace std;
vector<int64_t> p;
struct SegmentTree {
    int64_t orig[262144];
    int64_t vec[262144];
    int64_t lazy[262144];
    const int64_t INF = 1e18;
    void push (int dum) {
        if (lazy[dum] == -1) {
            return;
        }
        lazy[2 * dum + 1] = lazy[dum];
        lazy[2 * dum + 2] = lazy[dum];
        vec[2 * dum + 1] = lazy[dum] + orig[2 * dum + 1];
        vec[2 * dum + 2] = lazy[dum] + orig[2 * dum + 2];
        lazy[dum] = -1;
    }
    void upd (int dum, int tl, int tr, int l, int r, int64_t x) {
        if (tl >= l and tr <= r) {
            lazy[dum] = x;
            vec[dum] = orig[dum] + x;
            return;
        }
        if (tl > r or l > tr) {
            return;
        }
        push(dum);
        upd(2 * dum + 1, tl, (tl + tr)/2, l, r, x);
        upd(2 * dum + 2, (tl + tr)/2 + 1, tr, l, r, x);
        vec[dum] = min(vec[2 * dum + 1], vec[2 * dum + 2]);
    }
    int64_t query (int dum, int tl, int tr, int l, int r) {
        if (tl >= l and tr <= r) {
            return vec[dum];
        }
        if (tl > r or l > tr) {
            return INF;
        }
        push(dum);
        return min(query(2 * dum + 1, tl, (tl + tr)/2, l, r), query(2 * dum + 2, (tl + tr)/2 + 1, tr, l, r));
    }
    void upd (int l, int r, int64_t x) {
        upd(0, 0, (int)p.size() - 1, l, r, x);
    }
    int64_t query (int l, int r) {
        return query(0, 0, (int)p.size() - 1, l, r);
    }
    void build (int dum, int tl, int tr) {
        if (tl == tr) {
            orig[dum] = p[tl];
            return;
        }
        build(2 * dum + 1, tl, (tl + tr)/2);
        build(2 * dum + 2, (tl + tr)/2 + 1, tr);
        orig[dum] = min(orig[2 * dum + 1], orig[2 * dum + 2]);
    }
    void reset () {
        for (int i = 0; i < 2 * p.size(); i++) {
            orig[i] = 0, lazy[i] = -1;
        }
        build(0, 0, (int)p.size() - 1);
        for (int i = 0; i < 2 * p.size(); i++) {
            vec[i] = orig[i];
        }
    }
    SegmentTree () {
        int n = p.size();
        for (int i = 0; i < 2 * n; i++) {
            orig[i] = 0;
            lazy[i] = -1;
        }
        build(0, 0, n - 1);
        for (int i = 0; i < 2 * n; i++) {
            vec[i] = orig[i];
        }
    }
};
struct SparseTable {
    int64_t dp[131072][25];
    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) {
        int n = a.size();
        for (int j = 0; j < 25; j++) {
            for (int i = 0; i < n; i++) {
                if (j == 0) {
                    dp[i][j] = a[i];
                } else {
                    dp[i][j] = min(dp[i][j - 1], dp[min(i + (1 << (j - 1)), 131072 - 1)][j - 1]);
                }
            }
        }
    }
};
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];
    }
    while (__builtin_popcount(p.size()) != 1) {
        p.push_back(0);
        cur.push_back(0);
    }
    SparseTable st_p;
    SegmentTree val;
    for (int i = 2; i <= K; i++) {
        val.reset();
        st_p.upd(p);
        for (int j = 1; j <= N; j++) {
            if (j == 1) {
                cur[j] = p[0] + arr[0];
            } else {
                cur[j] = INF;
                int64_t myMax = 0;
                int ind = -1;
                int l = 0;
                int r = j - 1;
                while (l != r) {
                    int m = (l + r)/2;
                    if (st_a.query(m, j - 1) == -arr[j - 1]) {
                        r = m;
                    } else {
                        l = m + 1;
                    }
                }
                ind = l;
                val.upd(ind, j - 1, arr[j - 1]);
                cur[j] = min(val.query(0, ind - 1), arr[j - 1] + st_p.query(ind, j - 1));
            }
        }
        swap(cur, p);
    }
    cout << p[N];

}

Compilation message

blocks.cpp:6: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    6 | #pragma GCC optimization ("O3")
      | 
blocks.cpp:7: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    7 | #pragma GCC optimization ("unroll-loops")
      | 
blocks.cpp: In member function 'void SegmentTree::reset()':
blocks.cpp:67:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |         for (int i = 0; i < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp:71:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |         for (int i = 0; i < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp: In function 'int main()':
blocks.cpp:121:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:126:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  126 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:143:25: warning: unused variable 'myMax' [-Wunused-variable]
  143 |                 int64_t myMax = 0;
      |                         ^~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 57708 KB Output is correct
2 Correct 27 ms 57672 KB Output is correct
3 Correct 23 ms 57692 KB Output is correct
4 Correct 28 ms 57700 KB Output is correct
5 Correct 22 ms 57680 KB Output is correct
6 Correct 22 ms 57672 KB Output is correct
7 Correct 23 ms 57724 KB Output is correct
8 Correct 22 ms 57676 KB Output is correct
9 Correct 22 ms 57660 KB Output is correct
10 Correct 21 ms 57676 KB Output is correct
11 Correct 22 ms 57728 KB Output is correct
12 Correct 21 ms 57684 KB Output is correct
13 Correct 26 ms 57676 KB Output is correct
14 Correct 23 ms 57676 KB Output is correct
15 Correct 24 ms 57704 KB Output is correct
16 Correct 21 ms 57664 KB Output is correct
17 Correct 21 ms 57716 KB Output is correct
18 Correct 27 ms 57760 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 57684 KB Output is correct
2 Correct 21 ms 57760 KB Output is correct
3 Correct 21 ms 57656 KB Output is correct
4 Correct 22 ms 57676 KB Output is correct
5 Correct 21 ms 57760 KB Output is correct
6 Correct 22 ms 57696 KB Output is correct
7 Correct 25 ms 57768 KB Output is correct
8 Correct 22 ms 57684 KB Output is correct
9 Correct 23 ms 57652 KB Output is correct
10 Correct 24 ms 57648 KB Output is correct
11 Correct 22 ms 57744 KB Output is correct
12 Correct 28 ms 57652 KB Output is correct
13 Correct 27 ms 57756 KB Output is correct
14 Correct 29 ms 57748 KB Output is correct
15 Correct 23 ms 57728 KB Output is correct
16 Correct 22 ms 57732 KB Output is correct
17 Correct 22 ms 57696 KB Output is correct
18 Correct 22 ms 57684 KB Output is correct
19 Correct 22 ms 57648 KB Output is correct
20 Correct 26 ms 57684 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 57708 KB Output is correct
2 Correct 27 ms 57672 KB Output is correct
3 Correct 23 ms 57692 KB Output is correct
4 Correct 28 ms 57700 KB Output is correct
5 Correct 22 ms 57680 KB Output is correct
6 Correct 22 ms 57672 KB Output is correct
7 Correct 23 ms 57724 KB Output is correct
8 Correct 22 ms 57676 KB Output is correct
9 Correct 22 ms 57660 KB Output is correct
10 Correct 21 ms 57676 KB Output is correct
11 Correct 22 ms 57728 KB Output is correct
12 Correct 21 ms 57684 KB Output is correct
13 Correct 26 ms 57676 KB Output is correct
14 Correct 23 ms 57676 KB Output is correct
15 Correct 24 ms 57704 KB Output is correct
16 Correct 21 ms 57664 KB Output is correct
17 Correct 21 ms 57716 KB Output is correct
18 Correct 27 ms 57760 KB Output is correct
19 Correct 25 ms 57684 KB Output is correct
20 Correct 21 ms 57760 KB Output is correct
21 Correct 21 ms 57656 KB Output is correct
22 Correct 22 ms 57676 KB Output is correct
23 Correct 21 ms 57760 KB Output is correct
24 Correct 22 ms 57696 KB Output is correct
25 Correct 25 ms 57768 KB Output is correct
26 Correct 22 ms 57684 KB Output is correct
27 Correct 23 ms 57652 KB Output is correct
28 Correct 24 ms 57648 KB Output is correct
29 Correct 22 ms 57744 KB Output is correct
30 Correct 28 ms 57652 KB Output is correct
31 Correct 27 ms 57756 KB Output is correct
32 Correct 29 ms 57748 KB Output is correct
33 Correct 23 ms 57728 KB Output is correct
34 Correct 22 ms 57732 KB Output is correct
35 Correct 22 ms 57696 KB Output is correct
36 Correct 22 ms 57684 KB Output is correct
37 Correct 22 ms 57648 KB Output is correct
38 Correct 26 ms 57684 KB Output is correct
39 Correct 24 ms 57680 KB Output is correct
40 Correct 22 ms 57644 KB Output is correct
41 Correct 26 ms 57744 KB Output is correct
42 Correct 21 ms 57656 KB Output is correct
43 Correct 22 ms 57672 KB Output is correct
44 Correct 21 ms 57744 KB Output is correct
45 Correct 21 ms 57728 KB Output is correct
46 Correct 22 ms 57696 KB Output is correct
47 Correct 26 ms 57664 KB Output is correct
48 Correct 21 ms 57744 KB Output is correct
49 Correct 23 ms 57764 KB Output is correct
50 Correct 27 ms 57684 KB Output is correct
51 Correct 22 ms 57684 KB Output is correct
52 Correct 23 ms 57712 KB Output is correct
53 Correct 24 ms 57748 KB Output is correct
54 Correct 26 ms 57684 KB Output is correct
55 Correct 24 ms 57700 KB Output is correct
56 Correct 26 ms 57740 KB Output is correct
57 Correct 26 ms 57684 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 57708 KB Output is correct
2 Correct 27 ms 57672 KB Output is correct
3 Correct 23 ms 57692 KB Output is correct
4 Correct 28 ms 57700 KB Output is correct
5 Correct 22 ms 57680 KB Output is correct
6 Correct 22 ms 57672 KB Output is correct
7 Correct 23 ms 57724 KB Output is correct
8 Correct 22 ms 57676 KB Output is correct
9 Correct 22 ms 57660 KB Output is correct
10 Correct 21 ms 57676 KB Output is correct
11 Correct 22 ms 57728 KB Output is correct
12 Correct 21 ms 57684 KB Output is correct
13 Correct 26 ms 57676 KB Output is correct
14 Correct 23 ms 57676 KB Output is correct
15 Correct 24 ms 57704 KB Output is correct
16 Correct 21 ms 57664 KB Output is correct
17 Correct 21 ms 57716 KB Output is correct
18 Correct 27 ms 57760 KB Output is correct
19 Correct 25 ms 57684 KB Output is correct
20 Correct 21 ms 57760 KB Output is correct
21 Correct 21 ms 57656 KB Output is correct
22 Correct 22 ms 57676 KB Output is correct
23 Correct 21 ms 57760 KB Output is correct
24 Correct 22 ms 57696 KB Output is correct
25 Correct 25 ms 57768 KB Output is correct
26 Correct 22 ms 57684 KB Output is correct
27 Correct 23 ms 57652 KB Output is correct
28 Correct 24 ms 57648 KB Output is correct
29 Correct 22 ms 57744 KB Output is correct
30 Correct 28 ms 57652 KB Output is correct
31 Correct 27 ms 57756 KB Output is correct
32 Correct 29 ms 57748 KB Output is correct
33 Correct 23 ms 57728 KB Output is correct
34 Correct 22 ms 57732 KB Output is correct
35 Correct 22 ms 57696 KB Output is correct
36 Correct 22 ms 57684 KB Output is correct
37 Correct 22 ms 57648 KB Output is correct
38 Correct 26 ms 57684 KB Output is correct
39 Correct 24 ms 57680 KB Output is correct
40 Correct 22 ms 57644 KB Output is correct
41 Correct 26 ms 57744 KB Output is correct
42 Correct 21 ms 57656 KB Output is correct
43 Correct 22 ms 57672 KB Output is correct
44 Correct 21 ms 57744 KB Output is correct
45 Correct 21 ms 57728 KB Output is correct
46 Correct 22 ms 57696 KB Output is correct
47 Correct 26 ms 57664 KB Output is correct
48 Correct 21 ms 57744 KB Output is correct
49 Correct 23 ms 57764 KB Output is correct
50 Correct 27 ms 57684 KB Output is correct
51 Correct 22 ms 57684 KB Output is correct
52 Correct 23 ms 57712 KB Output is correct
53 Correct 24 ms 57748 KB Output is correct
54 Correct 26 ms 57684 KB Output is correct
55 Correct 24 ms 57700 KB Output is correct
56 Correct 26 ms 57740 KB Output is correct
57 Correct 26 ms 57684 KB Output is correct
58 Correct 252 ms 58244 KB Output is correct
59 Correct 34 ms 59152 KB Output is correct
60 Correct 287 ms 59148 KB Output is correct
61 Execution timed out 1058 ms 59120 KB Time limit exceeded
62 Halted 0 ms 0 KB -