Submission #244407

#TimeUsernameProblemLanguageResultExecution timeMemory
244407WhaleVomitPalembang Bridges (APIO15_bridge)C++14
22 / 100
249 ms20700 KiB
#include <bits/stdc++.h>
using namespace std;

#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(v) v.begin(), v.end()
#define sz(v) (int)v.size()

#define MOO(i, a, b) for(int i=a; i<b; i++)
#define M00(i, a) for(int i=0; i<a; i++)
#define MOOd(i,a,b) for(int i = (b)-1; i >= a; i--)
#define M00d(i,a) for(int i = (a)-1; i>=0; i--)

#define FAST ios::sync_with_stdio(0); cin.tie(0);
#define finish(x) return cout << x << '\n', 0;
#define dbg(x) cerr << ">>> " << #x << " = " << x << "\n";
#define _ << " _ " <<

typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int,int> pi;
typedef pair<ld,ld> pd;
typedef complex<ld> cd;

const int MAX_N = 100100;
int k, n;
vector<pi> arr;
map<int,int> startsAt;
map<int,int> endsAt;
vi points;

ll getMinDis1() {
    ll cur = 0;
    ll numBefore = 0;
    ll numAfter = 0;
    for(pi p: arr) if(p.f > points[0]) {
        numAfter++;
        cur += p.f - points[0];
    }
    ll ans = cur;
    MOO(i, 1, sz(points)) {
        cur -= numAfter*(points[i] - points[i-1]);
        numAfter -= startsAt[points[i]];
        numBefore += endsAt[points[i-1]];
        cur += numBefore*(points[i] - points[i-1]);
        ans = min(ans, cur);
    }
    return ans;
}

vector<ll> getVals(vector<pi>& v) {
    ll val = 0;
    ll startAfter = 0;
    ll endBefore = 0;
    set<pi> stuff; // (x,0) = start at x, (x,1) = end at x
    stuff.insert(mp(v[0].f ,0)); stuff.insert(mp(v[0].s, 1));
    vector<ll> res; res.pb(0);
    res.pb(val);
    auto it = stuff.begin();
    MOO(i, 1, sz(v)) {
        stuff.insert(mp(v[i].f, 0));
        if(v[i].f > (*it).f) {
            val += v[i].f - (*it).f;
            startAfter++;
        }
        stuff.insert(mp(v[i].s, 1));
        if(v[i].s < (*it).f) {
            val += (*it).f - v[i].s;
            endBefore++;
        }
        while(startAfter > endBefore) {
            if(next(it) == stuff.end()) break;
            int curx = (*it).f;
            int nextx = (*(next(it))).f;
            val -= startAfter*(nextx - curx);
            if((*it).s == 1) endBefore++;
            it++;
            if((*it).s == 0) startAfter--;
            val += endBefore*(nextx - curx);
        }
        while(startAfter < endBefore) {
            if(it == stuff.begin()) break;
            int curx = (*it).f;
            int nextx = (*(prev(it))).f;
            val -= endBefore*(curx - nextx);
            if((*it).s == 0) startAfter++;
            it--;
            if((*it).s == 1) endBefore--;
            val += startAfter*(curx - nextx);
        }
        res.pb(val);
    }
    return res;
}

ll getMinDis2() {
    vector<pair<int, pi>> tmp;
    M00(i, sz(arr)) {
        tmp.pb(mp(arr[i].f + arr[i].s, arr[i]));
    }
    sort(all(tmp));
    vector<pi> sorted;
    M00(i, sz(tmp)) sorted.pb(tmp[i].s);
    M00(i, sz(sorted)) {
        dbg(sorted[i].f _ sorted[i].s);
    }
    vector<ll> v1 = getVals(sorted);
    reverse(all(sorted));
    vector<ll> v2 = getVals(sorted);
    reverse(all(v2));
    M00(i, sz(v1)) {
        dbg(i _ v1[i] _ v2[i]);
    }
    ll ans = 1e18;
    M00(i, sz(v1)) {
        ans = min(ans, v1[i]+v2[sz(v2)-1-i]);
    }
    return ans;
}

int main() { FAST
    cin >> k >> n;
    int cnt = 0;
    ll ans = 0;
    M00(i, n) {
        string s1, s2;
        int i1, i2;
        cin >> s1 >> i1 >> s2 >> i2;
        if(i1 > i2) swap(i1, i2);
        if(s1 == s2) {
            ans += (i2-i1);
        } else {
            cnt++;
            ans += (i2-i1);
            arr.pb(mp(i1,i2));
            startsAt[i1]++;
            endsAt[i2]++;
            points.pb(i1);
            points.pb(i2);
        }
    }
    sort(all(points));
    points.erase(unique(all(points)), points.end());
    if(k == 1) {
        ans += getMinDis1()*2LL + cnt;
    } else {
        ans += getMinDis2()*2LL + cnt;
    }
    finish(ans);
}

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