Submission #317899

#	Time	Username	Problem	Language	Result	Execution time	Memory
317899		soroush	Palembang Bridges (APIO15_bridge)	C++14	31 / 100	78 ms	7032 KiB

bridge

/*
#pragma GCC optimize("O2")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,fma,tune=native")
//*/
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int  ,int > pii;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const ll maxn  = 1e5 + 100;
const ll mod =1e9+7;
const ld PI = acos((ld)-1);

#define pb push_back
#define endl '\n'
#define dokme(x) cout << x , exit(0)
#define migmig ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define ms(x , y) memset(x , y , sizeof x)
ll pw(ll a, ll b, ll md = mod){ll res = 1;while(b){if(b&1){res=(a*res)%md;}a=(a*a)%md;b>>=1;}return(res);}

int n , k;
bool H[maxn] , W[maxn];
ll h[maxn] , w[maxn];

vector < ll > vec;

struct sub1{
    ll solve(ll x){
        ll ans = 0;
        for(int i = 0 ; i < n ; i ++){
            if(H[i] == W[i])ans += abs(h[i] - w[i]);
            else
                ans += abs(h[i] - x) + abs(w[i] - x) + 1;
        }
        return(ans);
    }
    void sub(){
        ll ans = 1e18;
        for(auto x : vec)
            ans = min(ans , solve(x));
        dokme(ans);
    }
}s1;

struct sub3{
    ll solve(ll x , ll y){
        ll ans = 0;
        for(int i = 0 ; i < n ; i ++){
            if(H[i] == W[i])ans += abs(h[i] - w[i]);
            else
                ans += min(abs(h[i] - x) + abs(w[i] - x)  ,abs(h[i] - y) + abs(w[i] - y))  + 1;
        }
        return(ans);
    }
    void sub(){
        ll ans = 1e18;
        for(auto x : vec)
            for(auto y : vec)
                ans = min(ans , solve(x , y));
        dokme(ans);
    }
}s3;

bool cmp(pii a , pii b){
	return(a.first + a.second < b.first + b.second);
}	

struct sub2{
    void sub(){
        ll ans = 0;
        vec.clear();
        for(int i = 0 ; i < n ; i ++)
            if(H[i] == W[i])
                ans += abs(w[i] - h[i]);
            else
                ans ++,
                vec.pb(h[i]) , vec.pb(w[i]);
        ll mn = 5e18;
        sort(vec.begin() , vec.end());
        int N = vec.size();
        vector < ll > l(N , 0) , r(N , 0);
        for(int i = 1 ; i < N ; i ++){
            l[i] = (vec[i] - vec[i - 1])*ll(i) + l[i - 1]; 
        }
        for(int i = N - 2 , j = 1 ; i >= 0 ; i -- , j ++ ){
            r[i] = (vec[i + 1] - vec[i]) * ll(j) + r[i + 1];
        }
        for(int i = 0 ; i < N ; i ++)
            mn = min(mn , l[i] + r[i]);
        dokme(ans + mn);
    }
}s2;

vector < pii > v;
ll l[maxn] , r[maxn];

ll mnsum = 0 , mxsum = 0;

priority_queue < ll > mx;
priority_queue < ll ,vector < ll > , greater < ll >  > mn;

void add(pii x){
	mx.push(x.first);
	mx.push(x.second);
	mxsum += x.first;
	mxsum+=x.second;
	while((int)mx.size() - (int)mn.size() > 0)
		mn.push(mx.top()) ,mxsum-=mx.top() , mnsum += mx.top(), mx.pop();
	while((int)mn.size() - (int)mx.size() > 0)
		mx.push(mn.top()) ,mxsum+=mn.top() , mnsum -= mn.top(), mn.pop();
}

ll calc(){
	ll med = mn.top();
	ll ans = med * ll(mn.size()) - mnsum;
	ans += mxsum - med*ll(mx.size());
	return(ans);
}	

int32_t main(){
    migmig;
    cin >> k >> n;
    for(int i = 0 ; i < n ; i ++){
        string s;
        cin >> s;
        H[i] = (s == "A");
        cin >> h[i];
        cin >> s;
        W[i] = (s == "A");
        cin >> w[i];
        vec.pb(h[i]);
        vec.pb(w[i]);
    }
    sort(vec.begin() , vec.end());
    vec.resize(unique(vec.begin() , vec.end()) - vec.begin());
    if(k == 1 and n <= 1000){
        s1.sub();
    }
    if(k == 2 and n <= 100){
        s3.sub();
    }
    if(k == 1){
        s2.sub();
    }
	assert(k == 2);
	assert(n <= 1e5);
	ll ans = 0;
	for(int i = 0 ; i < n ; i ++){
		if(H[i] == W[i])
			ans += abs(h[i] - w[i]);
		else
			ans ++, v.pb({min(h[i] , w[i]) , max(h[i] , w[i])});
	}
	ll Ans = 5e18;
	sort(v.begin() , v.end() , cmp);
	n = v.size();
	if(n == 0)
		dokme(ans);
	for(int i = 0 ; i < n ; i ++){
		add(v[i]);
		l[i] = calc();
	}
	reverse(v.begin() , v.end());
	mxsum = mnsum = 0;
	while(mx.size())mx.pop();
	while(mn.size())mn.pop();
	for(int i = 0 ; i < n ; i ++){
		add(v[i]);
		r[i] = calc();
		Ans = min(Ans , r[i] + l[n - i - 2]);
	}
	
	cout << ans + Ans;
    return(0);
}

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