oj.uz

Submission #347098

# Submission time Handle Problem Language Result Execution time Memory
347098 2021-01-11T18:36:38 Z ali_tavakoli Palembang Bridges (APIO15_bridge) C++14
100 / 100
 84 ms 8672 KB 
//In the name of Allah
#include<bits/stdc++.h>
using namespace std;
    
typedef long long ll;
#define endl '\n'
#define F first
#define S second
#define pb push_back
#define all(x) x.begin(), x.end()
#pragma GCC optimize("O2")
    
const int N = 1e5 + 5;
    
int n, k, med[N][2], med2[N][2], p, q;
char ch1, ch2;
ll base, ans1[N], ans2[N];
    
vector<pair<ll, pair<int, int> > > ve;
    
priority_queue<int> q1, q3;
priority_queue<int, vector<int>, greater<int> > q2, q4;
    
int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    
    ve.reserve(N);
    cin >> k >> n;
    for(int i = 0; i < n; i++)
    {
        cin >> ch1 >> p >> ch2 >> q;
        //scanf("%c%d%c%d", &ch1, &p, &ch2, &q);
        if(ch1 != ch2)
            ve.pb({p + q, {min(p, q), max(p, q)}});
        else
            base += abs(p - q);
    }
    base += ve.size();
    sort(all(ve));
    
    ll s1 = 0, s2 = 0;
    for(int i = 0; i < ve.size(); i++)
    {
        auto x = ve[i];
    
        q1.push(x.S.F);
        s1 += x.S.F;
        q2.push(x.S.S);
        s2 += x.S.S;
        while(q1.top() > q2.top())
        {
            ll to1 = q1.top(), to2 = q2.top();
            q1.pop();q2.pop();
            q1.push(to2);
            s1 -= to1, s1 += to2;
            q2.push(to1);
            s2 -= to2, s2 += to1;
        }
        ans1[i] = q1.top() * q1.size() - s1 + s2 - q1.top() * q2.size();
        med[i][0] = q1.top();
        med[i][1] = q2.top();
    }
    
    //cout << med[ve.size() - 1][0] << " " << med[ve.size() - 1][1] << endl;
    
    //if(!n)
        //cout << base << endl;
    
    if(!ve.size())
    {
        cout << base << endl;
        return 0;
    }
    
    if(k == 1|| ve.size() == 1)
    {
        ll ans1, ans2;
        ans1 = ans2 = 0;
        for(int i = 0; i < ve.size(); i++)
        {
            ans1 += abs(ve[i].S.F - med[ve.size() - 1][0]);
            ans1 += abs(ve[i].S.S - med[ve.size() - 1][0]);
            ans2 += abs(ve[i].S.F - med[ve.size() - 1][1]);
            ans2 += abs(ve[i].S.S - med[ve.size() - 1][1]);
        }
        cout << min(ans1, ans2) + base << endl;
    }
    else
    {
        //cout << "BOOOM\n";
        ll ans = 1e15 + 5;
        ll s3 = 0, s4 = 0;
        
        for(int i = ve.size() - 1; i >= 0; i--)
        {
            auto x = ve[i];
    
            q3.push(x.S.F);
            s3 += x.S.F;
            q4.push(x.S.S);
            s4 += x.S.S;
            while(q3.top() > q4.top())
            {
                ll to1 = q3.top(), to2 = q4.top();
                q3.pop();q4.pop();
                q3.push(to2);
                s3 -= to1, s3 += to2;
                q4.push(to1);
                s4 -= to2, s4 += to1;
            }
            //cout << q3.top() * q3.size() << " " << s3 << '\n';
            ans2[i] = q3.top() * q3.size() - s3 + s4 - q3.top() * q4.size();
            //if(ans2[i] == 0)
               // cout << q3.top() << " " << q3.size() << " " << s3 << " " << s4 << " " << q4.top() << " " << q4.size() << '\n';
            //med2[i][0] = q3.top();
            //med2[i][1] = q4.top();
            if(i == 0)
                ans = min(ans, ans2[i]);
            else
                {
                    //cout << ans << " ";
                    ans = min(ans, ans2[i] + ans1[i - 1]);
                    //cout << ans << " " << ans2[i] + ans1[i - 1] << '\n';
                    //cout << i << " " << ans2[i] << " " << ans1[i - 1] << '\n';
                }
        }
        ans = min(ans, ans1[ve.size() - 1]);
    
        /*for(int i = 0; i < ve.size() - 1; i++)
        {
            ll ans1, ans2, ans3, ans4;
            ans1 = ans2 = ans3 = ans4 = 0;
            for(int j = 0; j <= i; j++)
            {
                ans1 += abs(ve[j].S.F - med[i][0]);
                ans1 += abs(ve[j].S.S - med[i][0]);
                ans2 += abs(ve[j].S.F - med[i][1]);
                ans2 += abs(ve[j].S.S - med[i][1]);
            }
            for(int j = i + 1; j < ve.size(); j++)
            {
                ans3 += abs(ve[j].S.F - med2[i + 1][0]);
                ans3 += abs(ve[j].S.S - med2[i + 1][0]);
                ans4 += abs(ve[j].S.F - med2[i + 1][1]);
                ans4 += abs(ve[j].S.S - med2[i + 1][1]);
            }
            
            ans = min(ans, min(ans1, ans2) + min(ans3, ans4));
        }
    
        ll ans1, ans2;
        ans1 = ans2 = 0;
        for(int i = 0; i < ve.size(); i++)
        {
            ans1 += abs(ve[i].S.F - med[ve.size() - 1][0]);
            ans1 += abs(ve[i].S.S - med[ve.size() - 1][0]);
            ans2 += abs(ve[i].S.F - med[ve.size() - 1][1]);
            ans2 += abs(ve[i].S.S - med[ve.size() - 1][1]);
        }
        ans = min(ans, min(ans1, ans2));*/
        //cout << base << '\n';
        //cout << ans << '\n';
        cout << ans + base << endl;
    }
}

/*
2 5
B 0 A 4
B 1 B 3
A 5 B 7
B 2 A 6
B 1 A 7
*/

Compilation message

bridge.cpp: In function 'int main()':
bridge.cpp:43:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |     for(int i = 0; i < ve.size(); i++)
      |                    ~~^~~~~~~~~~~
bridge.cpp:80:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |         for(int i = 0; i < ve.size(); i++)
      |                        ~~^~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 476 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 476 KB Output is correct
7 Correct 1 ms 492 KB Output is correct
8 Correct 1 ms 476 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 1 ms 476 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 476 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 476 KB Output is correct
7 Correct 1 ms 492 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 1 ms 476 KB Output is correct
12 Correct 30 ms 5216 KB Output is correct
13 Correct 58 ms 6880 KB Output is correct
14 Correct 50 ms 5472 KB Output is correct
15 Correct 34 ms 4328 KB Output is correct
16 Correct 34 ms 6112 KB Output is correct
17 Correct 55 ms 6880 KB Output is correct
18 Correct 40 ms 6496 KB Output is correct
19 Correct 61 ms 6880 KB Output is correct
20 Correct 44 ms 6368 KB Output is correct
21 Correct 61 ms 6624 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 492 KB Output is correct
21 Correct 1 ms 492 KB Output is correct
22 Correct 2 ms 508 KB Output is correct
23 Correct 1 ms 492 KB Output is correct
24 Correct 1 ms 492 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 388 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 492 KB Output is correct
21 Correct 1 ms 492 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 1 ms 492 KB Output is correct
24 Correct 1 ms 492 KB Output is correct
25 Correct 36 ms 7136 KB Output is correct
26 Correct 60 ms 7264 KB Output is correct
27 Correct 74 ms 8032 KB Output is correct
28 Correct 82 ms 8672 KB Output is correct
29 Correct 77 ms 8672 KB Output is correct
30 Correct 41 ms 4884 KB Output is correct
31 Correct 36 ms 7904 KB Output is correct
32 Correct 76 ms 8672 KB Output is correct
33 Correct 43 ms 8288 KB Output is correct
34 Correct 84 ms 8672 KB Output is correct
35 Correct 60 ms 8220 KB Output is correct
36 Correct 82 ms 8416 KB Output is correct
37 Correct 27 ms 7064 KB Output is correct