oj.uz

Submission #753228

# Submission time Handle Problem Language Result Execution time Memory
753228 2023-06-04T22:02:10 Z Olympia K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 33332 KB 
#include <vector>
#include <iostream>
#include <cassert>
#include <cmath>
#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 {
    vector<vector<int64_t>> dp;
    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 < dp[0].size(); 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)), (int)dp.size() - 1)][j - 1]);
                }
            }
        }
    }
    SparseTable (int n) {
        dp.resize(n);
        for (int i = 0; i < n; i++) {
            dp[i].resize(25);
        }
    }
};
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(N);
    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(p.size());
    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] = INF;
                cur[j] = min(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: In member function 'void SegmentTree::reset()':
blocks.cpp:64:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |         for (int i = 0; i < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp:68:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |         for (int i = 0; i < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp: In member function 'void SparseTable::upd(std::vector<long int>)':
blocks.cpp:92:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |         for (int j = 0; j < dp[0].size(); j++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp: In function 'int main()':
blocks.cpp:124:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:129:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  129 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:147:25: warning: unused variable 'myMax' [-Wunused-variable]
  147 |                 int64_t myMax = 0;
      |                         ^~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6356 KB Output is correct
2 Correct 3 ms 6356 KB Output is correct
3 Correct 3 ms 6356 KB Output is correct
4 Correct 3 ms 6356 KB Output is correct
5 Correct 3 ms 6356 KB Output is correct
6 Correct 3 ms 6356 KB Output is correct
7 Correct 3 ms 6356 KB Output is correct
8 Correct 3 ms 6356 KB Output is correct
9 Correct 4 ms 6356 KB Output is correct
10 Correct 3 ms 6356 KB Output is correct
11 Correct 3 ms 6356 KB Output is correct
12 Correct 3 ms 6484 KB Output is correct
13 Correct 3 ms 6484 KB Output is correct
14 Correct 3 ms 6484 KB Output is correct
15 Correct 3 ms 6484 KB Output is correct
16 Correct 3 ms 6484 KB Output is correct
17 Correct 3 ms 6484 KB Output is correct
18 Correct 3 ms 6484 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6356 KB Output is correct
2 Correct 3 ms 6356 KB Output is correct
3 Correct 3 ms 6356 KB Output is correct
4 Correct 3 ms 6356 KB Output is correct
5 Correct 3 ms 6356 KB Output is correct
6 Correct 3 ms 6380 KB Output is correct
7 Correct 3 ms 6372 KB Output is correct
8 Correct 4 ms 6484 KB Output is correct
9 Correct 5 ms 6356 KB Output is correct
10 Correct 3 ms 6356 KB Output is correct
11 Correct 3 ms 6356 KB Output is correct
12 Correct 3 ms 6356 KB Output is correct
13 Correct 3 ms 6356 KB Output is correct
14 Correct 3 ms 6356 KB Output is correct
15 Correct 3 ms 6356 KB Output is correct
16 Correct 3 ms 6484 KB Output is correct
17 Correct 3 ms 6484 KB Output is correct
18 Correct 3 ms 6484 KB Output is correct
19 Correct 3 ms 6356 KB Output is correct
20 Correct 3 ms 6356 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6356 KB Output is correct
2 Correct 3 ms 6356 KB Output is correct
3 Correct 3 ms 6356 KB Output is correct
4 Correct 3 ms 6356 KB Output is correct
5 Correct 3 ms 6356 KB Output is correct
6 Correct 3 ms 6356 KB Output is correct
7 Correct 3 ms 6356 KB Output is correct
8 Correct 3 ms 6356 KB Output is correct
9 Correct 4 ms 6356 KB Output is correct
10 Correct 3 ms 6356 KB Output is correct
11 Correct 3 ms 6356 KB Output is correct
12 Correct 3 ms 6484 KB Output is correct
13 Correct 3 ms 6484 KB Output is correct
14 Correct 3 ms 6484 KB Output is correct
15 Correct 3 ms 6484 KB Output is correct
16 Correct 3 ms 6484 KB Output is correct
17 Correct 3 ms 6484 KB Output is correct
18 Correct 3 ms 6484 KB Output is correct
19 Correct 3 ms 6356 KB Output is correct
20 Correct 3 ms 6356 KB Output is correct
21 Correct 3 ms 6356 KB Output is correct
22 Correct 3 ms 6356 KB Output is correct
23 Correct 3 ms 6356 KB Output is correct
24 Correct 3 ms 6380 KB Output is correct
25 Correct 3 ms 6372 KB Output is correct
26 Correct 4 ms 6484 KB Output is correct
27 Correct 5 ms 6356 KB Output is correct
28 Correct 3 ms 6356 KB Output is correct
29 Correct 3 ms 6356 KB Output is correct
30 Correct 3 ms 6356 KB Output is correct
31 Correct 3 ms 6356 KB Output is correct
32 Correct 3 ms 6356 KB Output is correct
33 Correct 3 ms 6356 KB Output is correct
34 Correct 3 ms 6484 KB Output is correct
35 Correct 3 ms 6484 KB Output is correct
36 Correct 3 ms 6484 KB Output is correct
37 Correct 3 ms 6356 KB Output is correct
38 Correct 3 ms 6356 KB Output is correct
39 Correct 4 ms 6484 KB Output is correct
40 Correct 3 ms 6356 KB Output is correct
41 Correct 3 ms 6356 KB Output is correct
42 Correct 3 ms 6356 KB Output is correct
43 Correct 3 ms 6356 KB Output is correct
44 Correct 3 ms 6400 KB Output is correct
45 Correct 3 ms 6356 KB Output is correct
46 Correct 4 ms 6356 KB Output is correct
47 Correct 3 ms 6356 KB Output is correct
48 Correct 3 ms 6356 KB Output is correct
49 Correct 3 ms 6484 KB Output is correct
50 Correct 3 ms 6356 KB Output is correct
51 Correct 4 ms 6484 KB Output is correct
52 Correct 4 ms 6484 KB Output is correct
53 Correct 6 ms 6484 KB Output is correct
54 Correct 7 ms 6484 KB Output is correct
55 Correct 5 ms 6484 KB Output is correct
56 Correct 6 ms 6484 KB Output is correct
57 Correct 5 ms 6484 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6356 KB Output is correct
2 Correct 3 ms 6356 KB Output is correct
3 Correct 3 ms 6356 KB Output is correct
4 Correct 3 ms 6356 KB Output is correct
5 Correct 3 ms 6356 KB Output is correct
6 Correct 3 ms 6356 KB Output is correct
7 Correct 3 ms 6356 KB Output is correct
8 Correct 3 ms 6356 KB Output is correct
9 Correct 4 ms 6356 KB Output is correct
10 Correct 3 ms 6356 KB Output is correct
11 Correct 3 ms 6356 KB Output is correct
12 Correct 3 ms 6484 KB Output is correct
13 Correct 3 ms 6484 KB Output is correct
14 Correct 3 ms 6484 KB Output is correct
15 Correct 3 ms 6484 KB Output is correct
16 Correct 3 ms 6484 KB Output is correct
17 Correct 3 ms 6484 KB Output is correct
18 Correct 3 ms 6484 KB Output is correct
19 Correct 3 ms 6356 KB Output is correct
20 Correct 3 ms 6356 KB Output is correct
21 Correct 3 ms 6356 KB Output is correct
22 Correct 3 ms 6356 KB Output is correct
23 Correct 3 ms 6356 KB Output is correct
24 Correct 3 ms 6380 KB Output is correct
25 Correct 3 ms 6372 KB Output is correct
26 Correct 4 ms 6484 KB Output is correct
27 Correct 5 ms 6356 KB Output is correct
28 Correct 3 ms 6356 KB Output is correct
29 Correct 3 ms 6356 KB Output is correct
30 Correct 3 ms 6356 KB Output is correct
31 Correct 3 ms 6356 KB Output is correct
32 Correct 3 ms 6356 KB Output is correct
33 Correct 3 ms 6356 KB Output is correct
34 Correct 3 ms 6484 KB Output is correct
35 Correct 3 ms 6484 KB Output is correct
36 Correct 3 ms 6484 KB Output is correct
37 Correct 3 ms 6356 KB Output is correct
38 Correct 3 ms 6356 KB Output is correct
39 Correct 4 ms 6484 KB Output is correct
40 Correct 3 ms 6356 KB Output is correct
41 Correct 3 ms 6356 KB Output is correct
42 Correct 3 ms 6356 KB Output is correct
43 Correct 3 ms 6356 KB Output is correct
44 Correct 3 ms 6400 KB Output is correct
45 Correct 3 ms 6356 KB Output is correct
46 Correct 4 ms 6356 KB Output is correct
47 Correct 3 ms 6356 KB Output is correct
48 Correct 3 ms 6356 KB Output is correct
49 Correct 3 ms 6484 KB Output is correct
50 Correct 3 ms 6356 KB Output is correct
51 Correct 4 ms 6484 KB Output is correct
52 Correct 4 ms 6484 KB Output is correct
53 Correct 6 ms 6484 KB Output is correct
54 Correct 7 ms 6484 KB Output is correct
55 Correct 5 ms 6484 KB Output is correct
56 Correct 6 ms 6484 KB Output is correct
57 Correct 5 ms 6484 KB Output is correct
58 Correct 192 ms 12928 KB Output is correct
59 Correct 37 ms 32832 KB Output is correct
60 Correct 306 ms 33308 KB Output is correct
61 Execution timed out 1092 ms 33332 KB Time limit exceeded
62 Halted 0 ms 0 KB -