oj.uz

Submission #753244

# Submission time Handle Problem Language Result Execution time Memory
753244 2023-06-04T22:43:41 Z Olympia K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 44960 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;
const int MX = 131072;
//const int MX = 300;
struct SegmentTree {
    int64_t orig[2 * MX];
    int64_t vec[2 * MX];
    int64_t lazy[2 * MX];
    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) {
        for (int i = 2 * (int)p.size() - 2; i >= 0; i--) {
            if (i >= (int)p.size() - 1) {
                orig[i] = p[i - ((int)p.size() - 1)];
            } else {
                orig[i] = min(orig[2 * i + 1], orig[2 * i + 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[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]);
                }
            }
        }
    }
};
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);
        if (p == cur) {
            break;
        }
    }
    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:69:27: 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 < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp:73:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |         for (int i = 0; i < 2 * p.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
blocks.cpp: In member function 'void SparseTable::upd(std::vector<long int>&)':
blocks.cpp:97:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |             for (int i = 0; i < a.size(); i++) {
      |                             ~~^~~~~~~~~~
blocks.cpp: In function 'int main()':
blocks.cpp:122:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  122 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~
blocks.cpp:127:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  127 |     for (int i = 0; i < arr.size(); i++) {
      |                     ~~^~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 43348 KB Output is correct
2 Correct 21 ms 43376 KB Output is correct
3 Correct 20 ms 43412 KB Output is correct
4 Correct 18 ms 43392 KB Output is correct
5 Correct 18 ms 43364 KB Output is correct
6 Correct 18 ms 43316 KB Output is correct
7 Correct 17 ms 43348 KB Output is correct
8 Correct 23 ms 43348 KB Output is correct
9 Correct 17 ms 43388 KB Output is correct
10 Correct 20 ms 43348 KB Output is correct
11 Correct 21 ms 43348 KB Output is correct
12 Correct 18 ms 43348 KB Output is correct
13 Correct 18 ms 43400 KB Output is correct
14 Correct 17 ms 43384 KB Output is correct
15 Correct 18 ms 43348 KB Output is correct
16 Correct 19 ms 43332 KB Output is correct
17 Correct 17 ms 43376 KB Output is correct
18 Correct 17 ms 43348 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 43352 KB Output is correct
2 Correct 18 ms 43348 KB Output is correct
3 Correct 18 ms 43356 KB Output is correct
4 Correct 17 ms 43348 KB Output is correct
5 Correct 18 ms 43300 KB Output is correct
6 Correct 22 ms 43348 KB Output is correct
7 Correct 20 ms 43348 KB Output is correct
8 Correct 17 ms 43348 KB Output is correct
9 Correct 21 ms 43344 KB Output is correct
10 Correct 17 ms 43340 KB Output is correct
11 Correct 21 ms 43348 KB Output is correct
12 Correct 20 ms 43288 KB Output is correct
13 Correct 19 ms 43348 KB Output is correct
14 Correct 18 ms 43384 KB Output is correct
15 Correct 17 ms 43384 KB Output is correct
16 Correct 17 ms 43352 KB Output is correct
17 Correct 18 ms 43404 KB Output is correct
18 Correct 18 ms 43356 KB Output is correct
19 Correct 18 ms 43348 KB Output is correct
20 Correct 17 ms 43348 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 43348 KB Output is correct
2 Correct 21 ms 43376 KB Output is correct
3 Correct 20 ms 43412 KB Output is correct
4 Correct 18 ms 43392 KB Output is correct
5 Correct 18 ms 43364 KB Output is correct
6 Correct 18 ms 43316 KB Output is correct
7 Correct 17 ms 43348 KB Output is correct
8 Correct 23 ms 43348 KB Output is correct
9 Correct 17 ms 43388 KB Output is correct
10 Correct 20 ms 43348 KB Output is correct
11 Correct 21 ms 43348 KB Output is correct
12 Correct 18 ms 43348 KB Output is correct
13 Correct 18 ms 43400 KB Output is correct
14 Correct 17 ms 43384 KB Output is correct
15 Correct 18 ms 43348 KB Output is correct
16 Correct 19 ms 43332 KB Output is correct
17 Correct 17 ms 43376 KB Output is correct
18 Correct 17 ms 43348 KB Output is correct
19 Correct 18 ms 43352 KB Output is correct
20 Correct 18 ms 43348 KB Output is correct
21 Correct 18 ms 43356 KB Output is correct
22 Correct 17 ms 43348 KB Output is correct
23 Correct 18 ms 43300 KB Output is correct
24 Correct 22 ms 43348 KB Output is correct
25 Correct 20 ms 43348 KB Output is correct
26 Correct 17 ms 43348 KB Output is correct
27 Correct 21 ms 43344 KB Output is correct
28 Correct 17 ms 43340 KB Output is correct
29 Correct 21 ms 43348 KB Output is correct
30 Correct 20 ms 43288 KB Output is correct
31 Correct 19 ms 43348 KB Output is correct
32 Correct 18 ms 43384 KB Output is correct
33 Correct 17 ms 43384 KB Output is correct
34 Correct 17 ms 43352 KB Output is correct
35 Correct 18 ms 43404 KB Output is correct
36 Correct 18 ms 43356 KB Output is correct
37 Correct 18 ms 43348 KB Output is correct
38 Correct 17 ms 43348 KB Output is correct
39 Correct 18 ms 43408 KB Output is correct
40 Correct 17 ms 43392 KB Output is correct
41 Correct 18 ms 43312 KB Output is correct
42 Correct 18 ms 43340 KB Output is correct
43 Correct 18 ms 43348 KB Output is correct
44 Correct 18 ms 43284 KB Output is correct
45 Correct 17 ms 43348 KB Output is correct
46 Correct 18 ms 43384 KB Output is correct
47 Correct 18 ms 43360 KB Output is correct
48 Correct 19 ms 43348 KB Output is correct
49 Correct 18 ms 43348 KB Output is correct
50 Correct 18 ms 43348 KB Output is correct
51 Correct 18 ms 43292 KB Output is correct
52 Correct 20 ms 43284 KB Output is correct
53 Correct 19 ms 43348 KB Output is correct
54 Correct 20 ms 43312 KB Output is correct
55 Correct 20 ms 43408 KB Output is correct
56 Correct 19 ms 43348 KB Output is correct
57 Correct 19 ms 43360 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 43348 KB Output is correct
2 Correct 21 ms 43376 KB Output is correct
3 Correct 20 ms 43412 KB Output is correct
4 Correct 18 ms 43392 KB Output is correct
5 Correct 18 ms 43364 KB Output is correct
6 Correct 18 ms 43316 KB Output is correct
7 Correct 17 ms 43348 KB Output is correct
8 Correct 23 ms 43348 KB Output is correct
9 Correct 17 ms 43388 KB Output is correct
10 Correct 20 ms 43348 KB Output is correct
11 Correct 21 ms 43348 KB Output is correct
12 Correct 18 ms 43348 KB Output is correct
13 Correct 18 ms 43400 KB Output is correct
14 Correct 17 ms 43384 KB Output is correct
15 Correct 18 ms 43348 KB Output is correct
16 Correct 19 ms 43332 KB Output is correct
17 Correct 17 ms 43376 KB Output is correct
18 Correct 17 ms 43348 KB Output is correct
19 Correct 18 ms 43352 KB Output is correct
20 Correct 18 ms 43348 KB Output is correct
21 Correct 18 ms 43356 KB Output is correct
22 Correct 17 ms 43348 KB Output is correct
23 Correct 18 ms 43300 KB Output is correct
24 Correct 22 ms 43348 KB Output is correct
25 Correct 20 ms 43348 KB Output is correct
26 Correct 17 ms 43348 KB Output is correct
27 Correct 21 ms 43344 KB Output is correct
28 Correct 17 ms 43340 KB Output is correct
29 Correct 21 ms 43348 KB Output is correct
30 Correct 20 ms 43288 KB Output is correct
31 Correct 19 ms 43348 KB Output is correct
32 Correct 18 ms 43384 KB Output is correct
33 Correct 17 ms 43384 KB Output is correct
34 Correct 17 ms 43352 KB Output is correct
35 Correct 18 ms 43404 KB Output is correct
36 Correct 18 ms 43356 KB Output is correct
37 Correct 18 ms 43348 KB Output is correct
38 Correct 17 ms 43348 KB Output is correct
39 Correct 18 ms 43408 KB Output is correct
40 Correct 17 ms 43392 KB Output is correct
41 Correct 18 ms 43312 KB Output is correct
42 Correct 18 ms 43340 KB Output is correct
43 Correct 18 ms 43348 KB Output is correct
44 Correct 18 ms 43284 KB Output is correct
45 Correct 17 ms 43348 KB Output is correct
46 Correct 18 ms 43384 KB Output is correct
47 Correct 18 ms 43360 KB Output is correct
48 Correct 19 ms 43348 KB Output is correct
49 Correct 18 ms 43348 KB Output is correct
50 Correct 18 ms 43348 KB Output is correct
51 Correct 18 ms 43292 KB Output is correct
52 Correct 20 ms 43284 KB Output is correct
53 Correct 19 ms 43348 KB Output is correct
54 Correct 20 ms 43312 KB Output is correct
55 Correct 20 ms 43408 KB Output is correct
56 Correct 19 ms 43348 KB Output is correct
57 Correct 19 ms 43360 KB Output is correct
58 Correct 120 ms 43908 KB Output is correct
59 Correct 40 ms 44952 KB Output is correct
60 Correct 184 ms 44960 KB Output is correct
61 Execution timed out 1081 ms 44948 KB Time limit exceeded
62 Halted 0 ms 0 KB -