Submission #92206

#TimeUsernameProblemLanguageResultExecution timeMemory
92206ShtefNLO (COCI18_nlo)C++14
11 / 110
3057 ms66560 KiB
#include <iostream>
#include <map>
#include <vector>
#include <cmath>
#include <set>

using namespace std;

typedef long long ll;

ll n, m, k;
map <ll, vector <ll> > c[100005];

void processcircle(ll x, ll y, ll r, ll val){
	for(int i = max(1LL, y - r) ; i <= min(m, y + r) ; ++i){
		ll koef = (ll)r * (ll)r - (ll)(i - y) * (ll)(i - y);
		ll t = (ll)sqrt(koef);
		c[i][max(1LL, x - t)].push_back(val);
		c[i][min(n + 1, x + t + 1)].push_back(-val);
		//cout << i << ' ' << t << endl;
	}
	//cout << endl;
	//system("pause");
}

int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
cin >> k;
for(int i = 0 ; i < k ; ++i){
	ll x, y, r;
	cin >> x >> y >> r;
	processcircle(y, x, r, i + 1);
}
for(int i = 1 ; i <= m ; ++i){
	c[i][n + 1].push_back(0);
}
ll sol = 0;
//cout << endl;
for(int i = 1 ; i <= m ; ++i){
	set <ll, greater <ll> > s;
	ll last = 1;
	for(map <ll, vector <ll> >::iterator j = c[i].begin() ; j != c[i].end() ; ++j){
		//cout << last << ' ' << j->first << ' ' << (!s.empty() ? *s.begin() : 0) << endl;
		sol += (j->first - last) * (k - (!s.empty() ? *s.begin() : 0));
		vector <ll> v = j->second;
		for(vector <ll>::iterator w = v.begin() ; w != v.end() ; ++w){
			ll o = *w;
			if(o < 0){
				s.erase(s.find(-o));
			}
			else{
				s.insert(o);
			}
		}
		last = j->first;
	}
	//cout << endl;
}
cout << sol << endl;

return 0;
}
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