Submission #1032423

#	Time	Username	Problem	Language	Result	Execution time	Memory
1032423		_8_8_	Palembang Bridges (APIO15_bridge)	C++17	100 / 100	229 ms	23108 KiB

bridge

#include <bits/stdc++.h>
 
using namespace std;
    
typedef long long ll;
const int  N = 3e5 + 21, MOD = (int)1e9+7;
 
int n,k;
ll res = 0;
array<int,2> a[N];
ll L[N],R[N];
vector<pair<int,int>> sc;
void prec(){
    for(int i = 1;i <= n;i++){
        sc.push_back({a[i][0],0});
        sc.push_back({a[i][1],1});
    }
    sort(sc.begin(),sc.end());
    ll sum = 0,col = 0;
    for(int i = 0;i < (int)sc.size();i++){
        L[i] = (sc[i].first * 1ll * col) - sum;
        if(sc[i].second == 1){
            col++;
            sum += sc[i].first;
        }
    }
    col = sum =0 ;
    for(int i = (int)sc.size() - 1;i >= 0;i--){
        R[i] = sum - (sc[i].first * 1ll * col);
        if(sc[i].second == 0){
            col++;
            sum += sc[i].first;
        }
    }
}
ll solve(){
    if(!n) return 0;
    ll res = 1e18;
    for(int i = 0;i < (int)sc.size();i++){
        res = min(res,2*(L[i] + R[i]));
    }
    return res;
}
ll calc(int l,int r){
    ll sum = 0;
    for(int i = 1;i <= n;i++){
        if(a[i][0] > l && a[i][1] < r){
            sum += min(2ll*(a[i][0] - l),2*1ll*(r - a[i][1]));
        }
    }
    return sum;
}
vector<ll> clac(vector<int> x){
    multiset<ll> _l,_r;
    ll ls = 0,rs = 0;
    vector<ll> ret((int)x.size());
    auto add = [&](ll val)->void{
        if(_l.empty()){
            _l.insert(val);
            ls += val;
            return;
        }
        _l.insert(val);
        ls += val;
        val = (*_l.rbegin());
        _l.erase(_l.find(val));
        ls -= val;
        _r.insert(val);
        rs += val;
        if((int)_r.size() > (int)_l.size()){
            val = (*_r.begin());
            _r.erase(_r.find(val));
            rs -= val;
            _l.insert(val);
            ls += val;
        }
    };
    for(int i = 0;i < (int)x.size();i++){
        add(a[x[i]][0]);
        add(a[x[i]][1]);
        ll val = (*_l.rbegin());
        ret[i] = val * 1ll * (ll)_l.size() - ls 
            + rs - val * 1ll * (ll)_r.size();
        // cout << rs << ' ' << ls << "x\n";
    }
    return ret;
}
void test() {
    cin >> k >> n;
    int _i = 0;
    ll bf = 0;
    for(int i = 1;i <= n;i++) {
        char x,y;
        int l,r;
        cin >> x >> l >> y >> r;
        if(l > r){
            swap(l,r);
            swap(x,y);
        }
        res += (r - l);
        if(x == y){
            bf += (r - l);
            continue;
        }
        res++;
        a[++_i] = {l,r};
    }
    n = _i;
    prec();
    if(k == 1){
        cout << res + solve();
        return;
    }
    if(n == 0){
        cout << res;
        return;
    }
    memset(L,0,sizeof(L));
    memset(R,0,sizeof(R));
    res = n;
    vector<pair<double,int>> t;
    for(int i = 1;i <= n;i++){
        t.emplace_back((a[i][0] + a[i][1]) * 1.0 / 2.0,i);
    }
    sort(t.begin(),t.end());
    vector<int> p;
    for(auto [w,x]:t){
        p.push_back(x);
        // cout << a[x][0] << ' ' << a[x][1] << '\n';
    }
    vector<ll> A = clac(p);
    reverse(p.begin(),p.end());
    vector<ll> B = clac(p);
    reverse(B.begin(),B.end());
    // for(auto j:B){
    //     cout << j << '\n';
    // }
    // return;
    ll mn = min(A.back(),B[0]);
    for(int i = 0;i < (int)A.size() - 1;i++){
        // cout << A[i] << ' ' << B[i + 1] << "x\n";
        mn = min(mn,A[i] + B[i + 1]);
    }
    cout << mn + n +bf;
}
int main() {
    ios_base::sync_with_stdio(false);cin.tie(0);
    int t = 1; 
    // cin >> t;
    while(t--) {
        test();
    }
}

• Subtask 1: 8 / 8
• Subtask 2: 14 / 14
• Subtask 3: 9 / 9
• Subtask 4: 32 / 32
• Subtask 5: 37 / 37