Submission #1031943

#	Time	Username	Problem	Language	Result	Execution time	Memory
1031943		_8_8_	Palembang Bridges (APIO15_bridge)	C++17	31 / 100	2059 ms	10624 KiB

bridge

#include <bits/stdc++.h>
 
using namespace std;
    
typedef long long ll;
const int  N = 3e5 + 21, MOD = (int)1e9+7;
 
#define int ll
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;
}
int pp[N];
void test() {
    cin >> k >> n;
    int _i = 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){
            continue;
        }
        res++;
        a[++_i] = {l,r};
    }
    n = _i;
    prec();
    if(k == 1){
        cout << res + solve();
        return;
    }
    if(n == 0){
        cout << res;
        return;
    }
    ll cur = 1e18,d = 1e18;
    int j = -1;
    for(int i = 0;i < (int)sc.size();i++){
        cur = 1e18;
        j = i - 1;
        int pos;
        while(j + 1 < (int)sc.size()){
            ll val = L[i] * 2ll + R[j + 1] * 2ll + calc(sc[i].first,sc[j + 1].first);
            if(val <= cur){
                pp[i] = j + 1;
            }
            cur = min(cur,val);
            j++;
        }
        d = min(d,cur);
        if(i){
            assert(pp[i] >= pp[i - 1]);
        }
    }
    cout << res + d << '\n';
}
signed main() {
    ios_base::sync_with_stdio(false);cin.tie(0);
    int t = 1; 
    // cin >> t;
    while(t--) {
        test();
    }
}

Compilation message (stderr)

bridge.cpp: In function 'void test()':
bridge.cpp:88:13: warning: unused variable 'pos' [-Wunused-variable]
   88 |         int pos;
      |             ^~~

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