Submission #122231

#	Time	Username	Problem	Language	Result	Execution time	Memory
122231		Osama_Alkhodairy	Ideal city (IOI12_city)	C++17	32 / 100	39 ms	14448 KiB

city

#include <bits/stdc++.h>
//~ #include "grader.cpp"
using namespace std;
#define ll long long

const ll N = 100001;

ll n, wr[N], wc[N], mod = 1e9 + 7;
set <ll> r[N], c[N];
vector <pair <ll, ll> > a;
map <pair <ll, ll>, ll> mpr, mpc;
ll cntr, cntc, ans;

void addr(ll x, ll y){
    r[x].insert(y);
    r[y].insert(x);
}
void addc(ll x, ll y){
    c[x].insert(y);
    c[y].insert(x);
}
void setr(ll row, ll col1, ll col2){
    ll id = cntr++;
    wr[id] = col2 - col1 + 1;
    for(ll col = col1 ; col <= col2 ; col++){
        if(mpr.find(make_pair(row - 1, col)) != mpr.end()){
            addr(id, mpr[make_pair(row - 1, col)]);
        }
        mpr[make_pair(row, col)] = id;
    }
}
void setc(ll col, ll row1, ll row2){
    ll id = cntc++;
    wc[id] = row2 - row1 + 1;
    for(ll row = row1 ; row <= row2 ; row++){
        if(mpc.find(make_pair(row, col - 1)) != mpc.end()){
            addc(id, mpc[make_pair(row, col - 1)]);
        }
        mpc[make_pair(row, col)] = id;
    }
}
void gor(ll l, ll r){
    for(ll i = l ; i < r ; i++){
        ll j = i;
        while(j + 1 < r && a[j + 1].second == a[j].second + 1) j++;
        setr(a[i].first, a[i].second, a[j].second);
        i = j;
    }
}
void goc(ll l, ll r){
    for(ll i = l ; i < r ; i++){
        ll j = i;
        while(j + 1 < r && a[j + 1].first == a[j].first + 1) j++;
        setc(a[i].second, a[i].first, a[j].first);
        i = j;
    }
}
void dfsr(ll node, ll pnode){
    for(auto &i : r[node]){
        if(i == pnode) continue;
        dfsr(i, node);
        ans = (ans + 1LL * wr[i] * (n - wr[i])) % mod;
        wr[node] += wr[i];
    }
}
void dfsc(ll node, ll pnode){
    for(auto &i : c[node]){
        if(i == pnode) continue;
        dfsc(i, node);
        ans = (ans + 1LL * wc[i] * (n - wc[i])) % mod;
        wc[node] += wc[i];
    }
}
int DistanceSum(int N, int *X, int *Y) {
    n = N;
    for(ll i = 0 ; i < n ; i++){
        a.push_back(make_pair(X[i], Y[i]));
    }
    sort(a.begin(), a.end());
    for(ll i = 0 ; i < n ; i++){
        ll j = i;
        while(j < n && a[j].first == a[i].first) j++;
        gor(i, j);
        i = j - 1;
    }
    sort(a.begin(), a.end(), [&](pair <ll, ll> l, pair <ll, ll> r){
        return make_pair(l.second, l.first) < make_pair(r.second, r.first);
    });
    for(ll i = 0 ; i < n ; i++){
        ll j = i;
        while(j < n && a[j].second == a[j].second) j++;
        goc(i, j);
        i = j - 1;
    }
    dfsr(0, -1);
    dfsc(0, -1);
    return ans;
}

• Subtask 1: 11 / 11
• Subtask 2: 21 / 21
• Subtask 3: 0 / 23
• Subtask 4: 0 / 45