Submission #923092

#TimeUsernameProblemLanguageResultExecution timeMemory
923092quanlt206Palembang Bridges (APIO15_bridge)C++17
100 / 100
74 ms6092 KiB
#include<bits/stdc++.h>
#define X first
#define Y second
#define all(x) begin(x), end(x)
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define FORD(i, b, a) for(int i = (b); i >= (a); i--)
#define REP(i, a, b) for (int i = (a); i < (b); i++)
#define mxx max_element
#define mnn min_element
#define SQR(x) (1LL * (x) * (x))
#define MASK(i) (1LL << (i))
#define Point Vector
#define left Left
#define right Right
#define div Div

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
typedef pair<db, db> pdb;
typedef pair<ld, ld> pld;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef pair<ll, ll> pll;
typedef pair<ll, pll> plll;
typedef pair<ll, int> pli;
typedef pair<ll, pii> plii;

template<class A, class B>
    bool maximize(A& x, B y) {
        if (x < y) return x = y, true; else return false;
    }
template<class A, class B>
    bool minimize(A& x, B y) {
        if (x > y) return x = y, true; else return false;
    }
/* END OF TEMPLATE */

const int N = 3e5 + 7;

int n, k;

vector<pii> seg;

ll res = 0;

priority_queue<int, vector<int>> left;
priority_queue<int, vector<int>, greater<int>> right;

ll lsum = 0, rsum = 0;

ll pre[N], suf[N];

void insert_value(int x) {
    int median = (left.empty() ? 1000000007 : left.top());
    if (x <= median) {
        left.push(x);
        lsum+=x;
    }
    else {
        right.push(x);
        rsum+=x;
    }
    if (left.size() == right.size()) return ;
    if ((int)left.size() > (int)right.size() + 1) {
        lsum-=left.top();
        rsum+=left.top();
        right.push(left.top());
        left.pop();
    }
    else
    if ((int)left.size() < (int)right.size()) {
        rsum-=right.top();
        lsum+=right.top();
        left.push(right.top());
        right.pop();
    }
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin>>k>>n;
    FOR(i, 1, n) {
        char P, Q;
        int A, B;
        cin>>P>>A>>Q>>B;
        if (P == Q) res+=abs(A - B);
        if (P != Q) seg.push_back({min(A, B), max(A, B)}), res++;
    }
    if (seg.empty()) return cout<<res, 0;
    seg.push_back({-1, -1});
    sort(all(seg), [](pii a, pii b) {
        return a.X + a.Y < b.X + b.Y;
    });
    pre[0] = 0;
    n = (int)seg.size() - 1;
    FOR(i, 1, n) {
        insert_value(seg[i].X);
        insert_value(seg[i].Y);
        pre[i] = rsum - lsum;
    }
    if (k == 1) return cout<<pre[n] + res, 0;
    while (!left.empty()) left.pop();
    while (!right.empty()) right.pop();
    lsum = 0;
    rsum = 0;
    ll ans = 1e18;
    FORD(i, n, 1) {
        insert_value(seg[i].X);
        insert_value(seg[i].Y);
        minimize(ans, rsum - lsum + res + pre[i - 1]);
    }
    cout<<ans;
    return 0;
}
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