oj.uz

Submission #851764

# Submission time Handle Problem Language Result Execution time Memory
851764 2023-09-20T14:46:47 Z danikoynov Constellation 3 (JOI20_constellation3) C++14
35 / 100
 937 ms 524288 KB 
#include<bits/stdc++.h>
#define endl '\n'

using namespace std;
typedef long long ll;

void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}

struct poll
{
    ll x, y, c;
    bool operator < (const poll &p) const
    {
        if (y == p.y)
            return x < p.x;
        return y < p.y;
    }
};

const ll maxn = 2e5 + 10;

ll n, m, a[maxn], lc[maxn], rc[maxn];
poll s[maxn];
vector < ll > star[maxn];
vector < ll > dp[maxn];
void input()
{
    cin >> n;
    for (ll i = 1; i <= n; i ++)
        cin >> a[i];

    cin >> m;


    for (ll i = 1; i <= m; i ++)
    {
        cin >> s[i].x >> s[i].y >> s[i].c;
    }

    sort(s + 1, s + m + 1);

    for (ll i = 1; i <= m; i ++)
    {

        star[s[i].x].push_back(i);
    }
}

ll cartesian_tree()
{

    for (ll i = 1; i <= n; i ++)
    {
        lc[i] = rc[i] = -1;
    }

    stack < ll > st;
    for (ll i = 1; i <= n; i ++)
    {
        while(!st.empty() && a[st.top()] < a[i])
        {
            lc[i] = st.top();
            st.pop();
        }

        st.push(i);
    }

    while(!st.empty())
        st.pop();
    for (ll i = n; i > 0; i --)
    {
        while(!st.empty() && a[st.top()] <= a[i])
        {
            rc[i] = st.top();
            st.pop();
        }

        st.push(i);
    }

    ll root;
    while(!st.empty())
    {

        root = st.top();
        st.pop();
    }
    /**cout << "cartesian tree" << endl;
    cout << root << endl;
    for (ll i = 1; i <= n; i ++)
    {
        cout << lc[i] << " " << rc[i] << endl;
    }*/
    return root;
}

const ll inf = 1e18;

ll rev[maxn];
ll temp[maxn];
pair < vector < ll >, vector < ll > > combine(vector < ll > dp_lf, vector < ll > dp_rf,
        vector < ll > ls, vector < ll > rs, ll height)
{

    int p1 = 0;
    int p2 = 0;
    vector < ll > comb;
    while(p1 < ls.size() && p2 < rs.size())
    {
        if (ls[p1] < rs[p2])
            comb.push_back(ls[p1 ++]);
        else
            comb.push_back(rs[p2 ++]);
    }
    while(p1 < ls.size())
        comb.push_back(ls[p1 ++]);
    while(p2 < rs.size())
        comb.push_back(rs[p2 ++]);


    ll lf_sz = ls.size(), rf_sz = rs.size();
    for (ll i = 0; i <= lf_sz + rf_sz; i ++)
    {
        if (i > 0)
            rev[comb[i - 1]] = i;
        temp[i] = inf;
    }



    /**for (ll i = 1; i <= lf_sz; i ++)
        for (ll j = 1; j <= rf_sz; j ++)
        {
            if (s[ls[i - 1]].y > height && s[rs[j - 1]].y > height)
                continue;
            ///cout << "combine " << i << " " << j << " " << s[ls[i - 1]].y << " " << s[rs[j - 1]].y << endl;
            ll idx = max(ls[i - 1], rs[j - 1]);
            temp[rev[idx]] = min(temp[rev[idx]], dp_lf[i] + dp_rf[j]);
        }*/

    int pt = 1;
    ll best = dp_rf[0];
    for (ll i = 1; i <= lf_sz; i ++)
    {
        while(pt <= rf_sz && s[rs[pt - 1]].y <= min(s[ls[i - 1]].y, height))
        {
            best = min(best, dp_rf[pt]);
            pt ++;
        }
        temp[rev[ls[i - 1]]] = min(temp[rev[ls[i - 1]]], dp_lf[i] + best);
    }

    pt = 1;
    best = dp_lf[0];
    for (ll i = 1; i <= rf_sz; i ++)
    {
        while(pt <= lf_sz && s[ls[pt - 1]].y <= min(s[rs[i - 1]].y, height))
        {
            best = min(best, dp_lf[pt]);
            pt ++;
        }
        temp[rev[rs[i - 1]]] = min(temp[rev[rs[i - 1]]], dp_rf[i] + best);
    }

    temp[0] = min(temp[0], dp_lf[0] + dp_rf[0]);

    vector < ll > dp(comb.size() + 1);
    for (ll i = 0; i <= comb.size(); i ++)
    {
        dp[i] = temp[i];
    }

    vector < ll > new_dp, new_comb;
    ll und = dp[0];
    for (int i = 1; i <= comb.size(); i ++)
        if (s[comb[i - 1]].y <= height)
            und = min(und, dp[i]);

    new_dp.push_back(und);
    for (int i = 1; i <= comb.size(); i ++)
    {
        if (s[comb[i - 1]].y > height && new_dp.back() > dp[i])
        {
            new_dp.push_back(dp[i]);
            new_comb.push_back(comb[i - 1]);
        }
    }


    return {new_dp, new_comb};


}
void divide(ll col)
{

    if (lc[col] != -1) divide(lc[col]);
    if (rc[col] != -1) divide(rc[col]);

    ll col_sz = star[col].size();
    dp[col].resize(col_sz + 1);
    ll sum = 0;
    for (ll i = 0; i < col_sz; i ++)
        sum += s[star[col][i]].c;

    dp[col][0] = sum;
    for (ll i = 1; i <= col_sz; i ++)
        dp[col][i] = sum - s[star[col][i - 1]].c;


    if (lc[col] != -1)
    {
        pair < vector < ll >, vector < ll > > cur =
            combine(dp[lc[col]], dp[col], star[lc[col]], star[col], a[col]);

        star[col] = cur.second;
        dp[col] = cur.first;
    }

    if (rc[col] != -1)
    {
        pair < vector < ll >, vector < ll > > cur =
            combine(dp[rc[col]], dp[col], star[rc[col]], star[col], a[col]);

        star[col] = cur.second;
        dp[col] = cur.first;
    }


    /**cout << "step "<< col << endl;
    for (ll cur : star[col])
        cout << cur << " ";
    cout << endl;
    for (ll cur : dp[col])
        cout << cur << " ";
    cout << endl;*/
}
void solve()
{
    input();
    ll root = cartesian_tree();

    divide(root);
    ll ans = inf;
    for (ll i = 0; i < dp[root].size(); i ++)
        ans = min(ans, dp[root][i]);
    cout << ans << endl;
}
int main()
{
    ///freopen("test.txt", "r", stdin);
    speed();
    solve();
    return 0;
}

/**
5
3 2 2 2 3
3
1 5 3
4 3 2
2 4 2

*/

Compilation message

constellation3.cpp: In function 'std::pair<std::vector<long long int>, std::vector<long long int> > combine(std::vector<long long int>, std::vector<long long int>, std::vector<long long int>, std::vector<long long int>, ll)':
constellation3.cpp:114:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |     while(p1 < ls.size() && p2 < rs.size())
      |           ~~~^~~~~~~~~~~
constellation3.cpp:114:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |     while(p1 < ls.size() && p2 < rs.size())
      |                             ~~~^~~~~~~~~~~
constellation3.cpp:121:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |     while(p1 < ls.size())
      |           ~~~^~~~~~~~~~~
constellation3.cpp:123:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |     while(p2 < rs.size())
      |           ~~~^~~~~~~~~~~
constellation3.cpp:174:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  174 |     for (ll i = 0; i <= comb.size(); i ++)
      |                    ~~^~~~~~~~~~~~~~
constellation3.cpp:181:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  181 |     for (int i = 1; i <= comb.size(); i ++)
      |                     ~~^~~~~~~~~~~~~~
constellation3.cpp:186:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  186 |     for (int i = 1; i <= comb.size(); i ++)
      |                     ~~^~~~~~~~~~~~~~
constellation3.cpp: In function 'void solve()':
constellation3.cpp:251:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  251 |     for (ll i = 0; i < dp[root].size(); i ++)
      |                    ~~^~~~~~~~~~~~~~~~~
constellation3.cpp: In function 'll cartesian_tree()':
constellation3.cpp:100:12: warning: 'root' may be used uninitialized in this function [-Wmaybe-uninitialized]
  100 |     return root;
      |            ^~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18780 KB Output is correct
2 Correct 4 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 3 ms 18780 KB Output is correct
7 Correct 4 ms 18780 KB Output is correct
8 Correct 4 ms 18828 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 4 ms 18776 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18776 KB Output is correct
16 Correct 3 ms 19036 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 5 ms 19032 KB Output is correct
19 Correct 4 ms 18780 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18780 KB Output is correct
2 Correct 4 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 3 ms 18780 KB Output is correct
7 Correct 4 ms 18780 KB Output is correct
8 Correct 4 ms 18828 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 4 ms 18776 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18776 KB Output is correct
16 Correct 3 ms 19036 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 5 ms 19032 KB Output is correct
19 Correct 4 ms 18780 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct
23 Correct 5 ms 19036 KB Output is correct
24 Correct 5 ms 19036 KB Output is correct
25 Correct 5 ms 18932 KB Output is correct
26 Correct 5 ms 19036 KB Output is correct
27 Correct 6 ms 19036 KB Output is correct
28 Correct 5 ms 18876 KB Output is correct
29 Correct 5 ms 19036 KB Output is correct
30 Correct 5 ms 19056 KB Output is correct
31 Correct 5 ms 19056 KB Output is correct
32 Correct 6 ms 19292 KB Output is correct
33 Correct 6 ms 19336 KB Output is correct
34 Correct 5 ms 19292 KB Output is correct
35 Correct 5 ms 19036 KB Output is correct
36 Correct 5 ms 19292 KB Output is correct
37 Correct 5 ms 19292 KB Output is correct
38 Correct 5 ms 19636 KB Output is correct
39 Correct 5 ms 19036 KB Output is correct
40 Correct 15 ms 27540 KB Output is correct
41 Correct 6 ms 19032 KB Output is correct
42 Correct 6 ms 19180 KB Output is correct
43 Correct 18 ms 28248 KB Output is correct
44 Correct 5 ms 19036 KB Output is correct

Subtask #3
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18780 KB Output is correct
2 Correct 4 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 3 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 3 ms 18780 KB Output is correct
7 Correct 4 ms 18780 KB Output is correct
8 Correct 4 ms 18828 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 4 ms 18776 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18776 KB Output is correct
16 Correct 3 ms 19036 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 5 ms 19032 KB Output is correct
19 Correct 4 ms 18780 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct
23 Correct 5 ms 19036 KB Output is correct
24 Correct 5 ms 19036 KB Output is correct
25 Correct 5 ms 18932 KB Output is correct
26 Correct 5 ms 19036 KB Output is correct
27 Correct 6 ms 19036 KB Output is correct
28 Correct 5 ms 18876 KB Output is correct
29 Correct 5 ms 19036 KB Output is correct
30 Correct 5 ms 19056 KB Output is correct
31 Correct 5 ms 19056 KB Output is correct
32 Correct 6 ms 19292 KB Output is correct
33 Correct 6 ms 19336 KB Output is correct
34 Correct 5 ms 19292 KB Output is correct
35 Correct 5 ms 19036 KB Output is correct
36 Correct 5 ms 19292 KB Output is correct
37 Correct 5 ms 19292 KB Output is correct
38 Correct 5 ms 19636 KB Output is correct
39 Correct 5 ms 19036 KB Output is correct
40 Correct 15 ms 27540 KB Output is correct
41 Correct 6 ms 19032 KB Output is correct
42 Correct 6 ms 19180 KB Output is correct
43 Correct 18 ms 28248 KB Output is correct
44 Correct 5 ms 19036 KB Output is correct
45 Correct 204 ms 33956 KB Output is correct
46 Correct 213 ms 33672 KB Output is correct
47 Correct 238 ms 33636 KB Output is correct
48 Correct 203 ms 33876 KB Output is correct
49 Correct 199 ms 33616 KB Output is correct
50 Correct 204 ms 33652 KB Output is correct
51 Correct 218 ms 33616 KB Output is correct
52 Correct 215 ms 33864 KB Output is correct
53 Correct 221 ms 33932 KB Output is correct
54 Correct 264 ms 81300 KB Output is correct
55 Correct 250 ms 69444 KB Output is correct
56 Correct 248 ms 60756 KB Output is correct
57 Correct 258 ms 56704 KB Output is correct
58 Correct 258 ms 71456 KB Output is correct
59 Correct 244 ms 72420 KB Output is correct
60 Correct 162 ms 92496 KB Output is correct
61 Correct 269 ms 49668 KB Output is correct
62 Runtime error 937 ms 524288 KB Execution killed with signal 9
63 Halted 0 ms 0 KB -