oj.uz

Submission #753237

# Submission time Handle Problem Language Result Execution time Memory
753237 2023-06-04T22:32:00 Z Olympia K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 59624 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)), 131071)][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];
    }
    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;
    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;
                int ind = nxt[j - 1];
                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++) {
      |                     ~~^~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 57732 KB Output is correct
2 Correct 33 ms 57724 KB Output is correct
3 Correct 34 ms 57684 KB Output is correct
4 Correct 31 ms 57648 KB Output is correct
5 Correct 30 ms 57772 KB Output is correct
6 Correct 35 ms 57696 KB Output is correct
7 Correct 31 ms 57684 KB Output is correct
8 Correct 29 ms 57680 KB Output is correct
9 Correct 35 ms 57644 KB Output is correct
10 Correct 35 ms 57700 KB Output is correct
11 Correct 31 ms 57736 KB Output is correct
12 Correct 28 ms 57684 KB Output is correct
13 Correct 35 ms 57728 KB Output is correct
14 Correct 30 ms 57656 KB Output is correct
15 Correct 34 ms 57756 KB Output is correct
16 Correct 33 ms 57672 KB Output is correct
17 Correct 32 ms 57652 KB Output is correct
18 Correct 32 ms 57744 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 57748 KB Output is correct
2 Correct 35 ms 57672 KB Output is correct
3 Correct 34 ms 57704 KB Output is correct
4 Correct 31 ms 57712 KB Output is correct
5 Correct 32 ms 57680 KB Output is correct
6 Correct 30 ms 57700 KB Output is correct
7 Correct 36 ms 57708 KB Output is correct
8 Correct 28 ms 57752 KB Output is correct
9 Correct 28 ms 57684 KB Output is correct
10 Correct 32 ms 57660 KB Output is correct
11 Correct 33 ms 57688 KB Output is correct
12 Correct 27 ms 57684 KB Output is correct
13 Correct 30 ms 57736 KB Output is correct
14 Correct 34 ms 57748 KB Output is correct
15 Correct 30 ms 57736 KB Output is correct
16 Correct 32 ms 57840 KB Output is correct
17 Correct 36 ms 57752 KB Output is correct
18 Correct 31 ms 57756 KB Output is correct
19 Correct 30 ms 57688 KB Output is correct
20 Correct 31 ms 57660 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 57732 KB Output is correct
2 Correct 33 ms 57724 KB Output is correct
3 Correct 34 ms 57684 KB Output is correct
4 Correct 31 ms 57648 KB Output is correct
5 Correct 30 ms 57772 KB Output is correct
6 Correct 35 ms 57696 KB Output is correct
7 Correct 31 ms 57684 KB Output is correct
8 Correct 29 ms 57680 KB Output is correct
9 Correct 35 ms 57644 KB Output is correct
10 Correct 35 ms 57700 KB Output is correct
11 Correct 31 ms 57736 KB Output is correct
12 Correct 28 ms 57684 KB Output is correct
13 Correct 35 ms 57728 KB Output is correct
14 Correct 30 ms 57656 KB Output is correct
15 Correct 34 ms 57756 KB Output is correct
16 Correct 33 ms 57672 KB Output is correct
17 Correct 32 ms 57652 KB Output is correct
18 Correct 32 ms 57744 KB Output is correct
19 Correct 35 ms 57748 KB Output is correct
20 Correct 35 ms 57672 KB Output is correct
21 Correct 34 ms 57704 KB Output is correct
22 Correct 31 ms 57712 KB Output is correct
23 Correct 32 ms 57680 KB Output is correct
24 Correct 30 ms 57700 KB Output is correct
25 Correct 36 ms 57708 KB Output is correct
26 Correct 28 ms 57752 KB Output is correct
27 Correct 28 ms 57684 KB Output is correct
28 Correct 32 ms 57660 KB Output is correct
29 Correct 33 ms 57688 KB Output is correct
30 Correct 27 ms 57684 KB Output is correct
31 Correct 30 ms 57736 KB Output is correct
32 Correct 34 ms 57748 KB Output is correct
33 Correct 30 ms 57736 KB Output is correct
34 Correct 32 ms 57840 KB Output is correct
35 Correct 36 ms 57752 KB Output is correct
36 Correct 31 ms 57756 KB Output is correct
37 Correct 30 ms 57688 KB Output is correct
38 Correct 31 ms 57660 KB Output is correct
39 Correct 41 ms 57756 KB Output is correct
40 Correct 43 ms 57728 KB Output is correct
41 Correct 43 ms 57648 KB Output is correct
42 Correct 36 ms 57644 KB Output is correct
43 Correct 26 ms 57720 KB Output is correct
44 Correct 62 ms 57744 KB Output is correct
45 Correct 38 ms 57660 KB Output is correct
46 Correct 38 ms 57752 KB Output is correct
47 Correct 37 ms 57756 KB Output is correct
48 Correct 39 ms 57748 KB Output is correct
49 Correct 30 ms 57716 KB Output is correct
50 Correct 27 ms 57676 KB Output is correct
51 Correct 33 ms 57696 KB Output is correct
52 Correct 28 ms 57720 KB Output is correct
53 Correct 32 ms 57772 KB Output is correct
54 Correct 35 ms 57752 KB Output is correct
55 Correct 30 ms 57684 KB Output is correct
56 Correct 41 ms 57744 KB Output is correct
57 Correct 31 ms 57680 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 57732 KB Output is correct
2 Correct 33 ms 57724 KB Output is correct
3 Correct 34 ms 57684 KB Output is correct
4 Correct 31 ms 57648 KB Output is correct
5 Correct 30 ms 57772 KB Output is correct
6 Correct 35 ms 57696 KB Output is correct
7 Correct 31 ms 57684 KB Output is correct
8 Correct 29 ms 57680 KB Output is correct
9 Correct 35 ms 57644 KB Output is correct
10 Correct 35 ms 57700 KB Output is correct
11 Correct 31 ms 57736 KB Output is correct
12 Correct 28 ms 57684 KB Output is correct
13 Correct 35 ms 57728 KB Output is correct
14 Correct 30 ms 57656 KB Output is correct
15 Correct 34 ms 57756 KB Output is correct
16 Correct 33 ms 57672 KB Output is correct
17 Correct 32 ms 57652 KB Output is correct
18 Correct 32 ms 57744 KB Output is correct
19 Correct 35 ms 57748 KB Output is correct
20 Correct 35 ms 57672 KB Output is correct
21 Correct 34 ms 57704 KB Output is correct
22 Correct 31 ms 57712 KB Output is correct
23 Correct 32 ms 57680 KB Output is correct
24 Correct 30 ms 57700 KB Output is correct
25 Correct 36 ms 57708 KB Output is correct
26 Correct 28 ms 57752 KB Output is correct
27 Correct 28 ms 57684 KB Output is correct
28 Correct 32 ms 57660 KB Output is correct
29 Correct 33 ms 57688 KB Output is correct
30 Correct 27 ms 57684 KB Output is correct
31 Correct 30 ms 57736 KB Output is correct
32 Correct 34 ms 57748 KB Output is correct
33 Correct 30 ms 57736 KB Output is correct
34 Correct 32 ms 57840 KB Output is correct
35 Correct 36 ms 57752 KB Output is correct
36 Correct 31 ms 57756 KB Output is correct
37 Correct 30 ms 57688 KB Output is correct
38 Correct 31 ms 57660 KB Output is correct
39 Correct 41 ms 57756 KB Output is correct
40 Correct 43 ms 57728 KB Output is correct
41 Correct 43 ms 57648 KB Output is correct
42 Correct 36 ms 57644 KB Output is correct
43 Correct 26 ms 57720 KB Output is correct
44 Correct 62 ms 57744 KB Output is correct
45 Correct 38 ms 57660 KB Output is correct
46 Correct 38 ms 57752 KB Output is correct
47 Correct 37 ms 57756 KB Output is correct
48 Correct 39 ms 57748 KB Output is correct
49 Correct 30 ms 57716 KB Output is correct
50 Correct 27 ms 57676 KB Output is correct
51 Correct 33 ms 57696 KB Output is correct
52 Correct 28 ms 57720 KB Output is correct
53 Correct 32 ms 57772 KB Output is correct
54 Correct 35 ms 57752 KB Output is correct
55 Correct 30 ms 57684 KB Output is correct
56 Correct 41 ms 57744 KB Output is correct
57 Correct 31 ms 57680 KB Output is correct
58 Correct 131 ms 58348 KB Output is correct
59 Correct 54 ms 59624 KB Output is correct
60 Correct 233 ms 59592 KB Output is correct
61 Execution timed out 1077 ms 59588 KB Time limit exceeded
62 Halted 0 ms 0 KB -