Submission #1110434

#	Time	Username	Problem	Language	Result	Execution time	Memory
1110434		Icelast	Palembang Bridges (APIO15_bridge)	C++17	0 / 100	2 ms	592 KiB

bridge

#include <iostream>
#include <bits/stdc++.h>
#define ll long long
using namespace std;
const ll maxn = 2*1e5+5, INF = 4e18+9;
void sub2(int k, int n){
    vector<ll> a(1);
    ll ans = 0;
    for(int i = 1; i <= n; i++){
        char s1, s2;
        int l, r;
        cin >> s1 >> l >> s2 >> r;
        if(l > r) swap(l, r);
        if(s1 == s2){
            ans += r-l;
        }else{
            a.push_back(l);
            a.push_back(r);
        }
    }
    sort(a.begin()+1, a.end());
    n = a.size()-1;
    ans += n/2;
    int m = (n+1)/2;
    for(int i = 1; i <= n; i++){
        ans += abs(a[m]-a[i]);
    }
    cout << ans;
    return;
}
struct normalize{
    vector<ll> poi, pot;
    void add(ll x){
        poi.push_back(x);
    }
    void start(){
        sort(poi.begin(), poi.end());
        pot.push_back(poi[0]);
        for(int i = 1; i < (int)poi.size(); i++){
            if(poi[i] != poi[i-1]){
                pot.push_back(poi[i]);
            }
        }
    }
    int encode(ll x){
        return lower_bound(pot.begin(), pot.end(), x) - pot.begin()+1;
    }
    ll decode(int x){
        return pot[x-1];
    }
};
// supports: point modify, range apply, range query, walk to find first/last with some precedent
// you are to implement the 2 structs Tag and Info
// for the walks, pass a lambda that takes in Info and return true iff the node with that Info will contain the desired element

template<class Info, class Tag>
struct LazySegmentTree {
    int n;
    vector<Info> info;
    vector<Tag> tag;
    LazySegmentTree() : n(0) {}
    LazySegmentTree(int n_, Info v_ = Info()) {
        init(n_, v_);
    }
    template<class T>
    LazySegmentTree(vector<T> init_) {
        init(init_);
    }
    void init(int n_, Info v_ = Info()) {
        init(vector<Info>(n_, v_));
    }
    template<class T>
    void init(vector<T> init_) {
        n = init_.size();
        info.assign(4 << __lg(n), Info());
        tag.assign(4 << __lg(n), Tag());
        function<void(int, int, int)> build = [&](int p, int l, int r) {
            if (r - l == 1) {
                info[p] = init_[l];
                return;
            }
            int m = (l + r) / 2;
            build(2 * p, l, m);
            build(2 * p + 1, m, r);
            pull(p);
        };
        build(1, 0, n);
    }
    void pull(int p) {
        info[p] = info[2 * p] + info[2 * p + 1];
    }
    void apply(int p, const Tag &v) {
        info[p].apply(v);
        tag[p].apply(v);
    }
    void push(int p) {
        apply(2 * p, tag[p]);
        apply(2 * p + 1, tag[p]);
        tag[p] = Tag();
    }
    void modify(int p, int l, int r, int x, const Info &v) {
        if (r - l == 1) {
            info[p] = v;
            return;
        }
        int m = (l + r) / 2;
        push(p);
        if (x < m) {
            modify(2 * p, l, m, x, v);
        } else {
            modify(2 * p + 1, m, r, x, v);
        }
        pull(p);
    }
    void modify(int p, const Info &v) {
        modify(1, 0, n, p, v);
    }
    Info rangeQuery(int p, int l, int r, int x, int y) {
        if (l >= y || r <= x) {
            return Info();
        }
        if (l >= x && r <= y) {
            return info[p];
        }
        int m = (l + r) / 2;
        push(p);
        return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
    }
    Info rangeQuery(int l, int r) {
        return rangeQuery(1, 0, n, l, r);
    }
    void rangeApply(int p, int l, int r, int x, int y, const Tag &v) {
        if (l >= y || r <= x) {
            return;
        }
        if (l >= x && r <= y) {
            apply(p, v);
            return;
        }
        int m = (l + r) / 2;
        push(p);
        rangeApply(2 * p, l, m, x, y, v);
        rangeApply(2 * p + 1, m, r, x, y, v);
        pull(p);
    }
    void rangeApply(int l, int r, const Tag &v) {
        return rangeApply(1, 0, n, l, r, v);
    }
    template<class F>
    int findFirst(int p, int l, int r, int x, int y, F &&pred) {
        if (l >= y || r <= x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        push(p);
        int res = findFirst(2 * p, l, m, x, y, pred);
        if (res == -1) {
            res = findFirst(2 * p + 1, m, r, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findFirst(int l, int r, F &&pred) {
        return findFirst(1, 0, n, l, r, pred);
    }
    template<class F>
    int findLast(int p, int l, int r, int x, int y, F &&pred) {
        if (l >= y || r <= x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        push(p);
        int res = findLast(2 * p + 1, m, r, x, y, pred);
        if (res == -1) {
            res = findLast(2 * p, l, m, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findLast(int l, int r, F &&pred) {
        return findLast(1, 0, n, l, r, pred);
    }
    int walk(int p, int l, int r, int x, int y, int k) {
        if (l >= y || r <= x) {
            return -1;
        }
        if (l >= x && r <= y && info[p].cnt < k) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        push(p);
        push(p*2);
        push(p*2+1);
        int res = walk(2 * p, l, m, x, y, k);
        if (res == -1) {
            res = walk(2 * p + 1, m, r, x, y, k-info[p*2].cnt);
        }
        return res;
    }
    int walk(int l, int r, int k){
        return walk(1, 0, n, l, r, k);
    }
};

struct Tag {
    ll add_cnt = 0, add_sum = 0;
    void apply(const Tag &t) & {
        add_cnt += t.add_cnt;
        add_sum += t.add_sum;
    }
};

struct Info {
    ll cnt = 0, sum = 0;
    void apply(const Tag &t) & {
        cnt += t.add_cnt;
        sum += t.add_sum;
    }
    Info operator+(const Info &b) {
        return {cnt+b.cnt, sum+b.sum};
    }
};
void solve(){
    int k, n;
    cin >> k >> n;
    vector<pair<ll, ll>> a(1);
    ll ans = 0;
    for(int i = 1; i <= n; i++){
        char s1, s2;
        int l, r;
        cin >> s1 >> l >> s2 >> r;
        if(l > r) swap(l, r);
        if(s1 == s2){
            ans += r-l;
        }else{
            a.push_back({l, r});
        }
    }
    n = a.size()-1;
    if(n == 0){
        cout << ans;
        return;
    }
    ans += n;
    sort(a.begin()+1, a.end(), [&](pair<ll ,ll> a, pair<ll ,ll> b){return a.first+a.second < b.first+b.second;});
    normalize norm;
    for(int i = 1; i <= n; i++){
        norm.add(a[i].first);
        norm.add(a[i].second);
    }
    norm.start();
    int N = norm.pot.size();
    vector<ll> pf(n+2, 0), sf(n+2, 0);
    auto calc = [&](vector<ll> &pf) -> void{
        LazySegmentTree<Info, Tag> T(N+1);
        for(int i = 1; i <= n; i++){
            int len = i*2, median = (len+1)/2;
            int l = norm.encode(a[i].first), r = norm.encode(a[i].second);
            T.rangeApply(l, l+1, {1, a[i].first});
            T.rangeApply(r, r+1, {1, a[i].second});
            int m = T.walk(1, N+1, median);
            ll valm = norm.decode(m);
            pf[i] = valm*T.rangeQuery(1, m+1).cnt-T.rangeQuery(1, m+1).sum + T.rangeQuery(m+1, N+1).sum-valm*(len-T.rangeQuery(1, m+1).cnt);
        }
    };
    calc(pf);
    a.push_back({0, 0});
    reverse(a.begin(), a.end());
    calc(sf);
    if(k == 1){
        cout << ans+pf[n];
        return;
    }
    ll res = INF;
    for(int i = 0; i <= n; i++){
        res = min(res, pf[i]+sf[n-i]);
    }
    ans += res;
    cout << ans;
}
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    //freopen("main.inp", "r", stdin);
    //freopen("main.out", "w", stdout);
    solve();
}

• Subtask 1: 0 / 8
• Subtask 2: 0 / 14
• Subtask 3: 0 / 9
• Subtask 4: 0 / 32
• Subtask 5: 0 / 37