oj.uz

Submission #668794

# Submission time Handle Problem Language Result Execution time Memory
668794 2022-12-05T01:59:32 Z vuavisao Lasers (NOI19_lasers) C++14
87 / 100
 120 ms 31832 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define ll long long
using namespace std;

template<typename Lhs, typename Rhs> inline void Max_self(Lhs &a, Rhs b) { a = (a > b ? a : b); }
template<typename Lhs, typename Rhs> inline void Min_self(Lhs &a, Rhs b) { a = (a < b ? a : b); }

const int N = 5e5 + 10;

int LEN, n;
vector<vector<int>> door;

namespace sub1_2 {
    bool check() {
        for(int i = 0; i < n; ++ i) if(door[i].size() != 1) return false;
        return true;
    }

    void solve() {
        int best = 0;
        for(int i = 0; i < n; ++ i) {
            Max_self(best, door[i][0]);
        }
        int res = 2 * max(0, best - (LEN / 2));
        if(res > 0) res -= (LEN & 1);
        cout << res;
    }
}

namespace sub3_4 {
    bool check() {
        bool check_sub = false;
        if(LEN <= 1000000 && n == 2) check_sub = true;
        int cnt_door = 0;
        for(int i = 0; i < n; ++ i) cnt_door += door[i].size();
        if(LEN <= 1000 && cnt_door <= 1000) check_sub = true;
        return check_sub;
    }

    vector<vector<int>> pred;

    int sum_to(int l, int r, int idx) {
        if(l > r) return 0;
        if(l == 0) return pred[idx][r];
        return pred[idx][r] - pred[idx][l - 1];
    }

    bool calc_line(int idx) {
        for(int i = 0; i < n; ++ i) {
            const auto& psy = pred[i];
            int first = lower_bound(psy.begin(), psy.end(), idx) - psy.begin();
            int len_last = sum_to(first, psy.size() - 1, i);
            if(LEN - len_last + 1 <= idx) return false;
        }
        return true;
    }

    void solve() {
        for(int i = 0; i < n; ++ i) {
            auto psy = door[i];
            vector<int> tmp(psy.size());
            for(int j = 0; j < psy.size(); ++ j) {
                if(j == 0) tmp[j] = psy[j];
                else tmp[j] = tmp[j - 1] + psy[j];
            }
            pred.push_back(tmp);
        }
        int res = 0;
        for(int i = 1; i <= LEN; ++ i) res += calc_line(i);
        cout << LEN - res;
    }
}

namespace sub5 {
    bool check() {
        return LEN <= 1000000;
    }

    struct state {
        int v = 0, w = 0, last = 0, idx = 0;
        state() {};
        state(int _v, int _w, int _last, int _idx) { v = _v; w = _w; last = _last; idx = _idx; };

        bool operator < (const state& other) const {
            return this -> w < other.w;
        }
    };

    vector<int> pred;

    void solve() {
        vector<state> buffer = {};
        multiset<int, greater<int>> mst = {};
        for(int i = 0; i < n; ++ i) {
            auto psy = door[i];
            vector<int> tmp(psy.size());
            for(int j = 0; j < psy.size(); ++ j) {
                if(j == 0) tmp[j] = psy[j];
                else tmp[j] = tmp[j - 1] + psy[j];
                buffer.push_back(state(j, tmp[j], (j == 0 ? 0 : tmp[j - 1]), i));
            }
            mst.insert(tmp.back());
            pred.push_back(tmp.back());
        }
        sort(buffer.begin(), buffer.end());
        int res = 0;
        for(int i = 1, j = 0; i <= LEN; ++ i) {
            while(j < buffer.size() && buffer[j].w < i) {
                auto psy = buffer[j];
                auto tmp = mst.find(pred[psy.idx] - psy.last);
                if(tmp != mst.end()) mst.erase(tmp);
                else assert(false);
                mst.insert(pred[psy.idx] - psy.w);
                ++ j;
            }
            int first_right = LEN - *mst.begin() + 1;
            if(first_right > i) res++;
        }
        cout << LEN - res;
    }
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    if (fopen("lasers.inp", "r")) {
        freopen("lasers.inp", "r", stdin);
        freopen("lasers.out", "w", stdout);
    }
    cin >> LEN >> n;
    for(int i = 1; i <= n; ++ i) {
        int cnt; cin >> cnt;
        vector<int> tmp(cnt);
        for(int j = 0; j < cnt; ++ j) cin >> tmp[j];
        door.push_back(tmp);
    }
    if(sub1_2::check()) {
        sub1_2::solve();
        return 0;
    }
    if(sub3_4::check()) {
        sub3_4::solve();
        return 0;
    }
    if(sub5::check()) {
        sub5::solve();
        return 0;
    }
    assert(false);
    return 0;
}

/// Code by vuavisao

Compilation message

lasers.cpp: In function 'void sub3_4::solve()':
lasers.cpp:64:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |             for(int j = 0; j < psy.size(); ++ j) {
      |                            ~~^~~~~~~~~~~~
lasers.cpp: In function 'void sub5::solve()':
lasers.cpp:99:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |             for(int j = 0; j < psy.size(); ++ j) {
      |                            ~~^~~~~~~~~~~~
lasers.cpp:110:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<sub5::state>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  110 |             while(j < buffer.size() && buffer[j].w < i) {
      |                   ~~^~~~~~~~~~~~~~~
lasers.cpp: In function 'int32_t main()':
lasers.cpp:130:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  130 |         freopen("lasers.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
lasers.cpp:131:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  131 |         freopen("lasers.out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 276 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 276 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 120 ms 27592 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 116 ms 27920 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 320 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 4316 KB Output is correct
2 Correct 43 ms 1468 KB Output is correct
3 Correct 54 ms 1548 KB Output is correct
4 Correct 80 ms 4428 KB Output is correct
5 Correct 31 ms 2640 KB Output is correct
6 Correct 94 ms 6104 KB Output is correct
7 Correct 17 ms 340 KB Output is correct
8 Correct 94 ms 6752 KB Output is correct
9 Correct 42 ms 2388 KB Output is correct
10 Correct 67 ms 5016 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 352 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #5
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 4316 KB Output is correct
2 Correct 43 ms 1468 KB Output is correct
3 Correct 54 ms 1548 KB Output is correct
4 Correct 80 ms 4428 KB Output is correct
5 Correct 31 ms 2640 KB Output is correct
6 Correct 94 ms 6104 KB Output is correct
7 Correct 17 ms 340 KB Output is correct
8 Correct 94 ms 6752 KB Output is correct
9 Correct 42 ms 2388 KB Output is correct
10 Correct 67 ms 5016 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 352 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 106 ms 27652 KB Output is correct
22 Correct 50 ms 3144 KB Output is correct
23 Correct 25 ms 3268 KB Output is correct
24 Correct 111 ms 12524 KB Output is correct
25 Correct 113 ms 31832 KB Output is correct
26 Correct 103 ms 10980 KB Output is correct
27 Correct 42 ms 3484 KB Output is correct
28 Correct 108 ms 31700 KB Output is correct
29 Correct 111 ms 31832 KB Output is correct
30 Correct 85 ms 11608 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 276 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 120 ms 27592 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 116 ms 27920 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 320 KB Output is correct
21 Correct 75 ms 4316 KB Output is correct
22 Correct 43 ms 1468 KB Output is correct
23 Correct 54 ms 1548 KB Output is correct
24 Correct 80 ms 4428 KB Output is correct
25 Correct 31 ms 2640 KB Output is correct
26 Correct 94 ms 6104 KB Output is correct
27 Correct 17 ms 340 KB Output is correct
28 Correct 94 ms 6752 KB Output is correct
29 Correct 42 ms 2388 KB Output is correct
30 Correct 67 ms 5016 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 352 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 106 ms 27652 KB Output is correct
42 Correct 50 ms 3144 KB Output is correct
43 Correct 25 ms 3268 KB Output is correct
44 Correct 111 ms 12524 KB Output is correct
45 Correct 113 ms 31832 KB Output is correct
46 Correct 103 ms 10980 KB Output is correct
47 Correct 42 ms 3484 KB Output is correct
48 Correct 108 ms 31700 KB Output is correct
49 Correct 111 ms 31832 KB Output is correct
50 Correct 85 ms 11608 KB Output is correct
51 Runtime error 10 ms 2644 KB Execution killed with signal 6
52 Halted 0 ms 0 KB -