# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
230432 | VEGAnn | NLO (COCI18_nlo) | C++14 | 414 ms | 65540 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define pii pair<int,int>
#define ft first
#define sd second
#define MP make_pair
#define PB push_back
#define all(x) x.begin(),x.end()
using namespace std;
typedef long long ll;
const int oo = 2e9;
const int N = 100100;
vector<pii> events[N];
set<int> st;
int n, m, k;
ll ans = 0;
ll sqr(ll x) { return (x * x); }
ll dist(ll x1, ll x2, ll y1, ll y2){
return sqr(x1 - x2) + sqr(y1 - y2);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n >> m >> k;
for (int i = 0; i < k; i++){
int x, y, r;
cin >> x >> y >> r;
int ro = max(1, x - r), lf = y, rt = y;
ll rr = sqr(r);
while (ro <= x){
while (lf > 1 && dist(x, ro, y, lf - 1) <= rr)
lf--;
while (rt < m && dist(x, ro, y, rt + 1) <= rr)
rt++;
events[ro].PB(MP(lf, i + 1));
events[ro].PB(MP(rt + 1, i + 1));
ro++;
}
ro = min(n, x + r), lf = y, rt = y;
while (ro > x){
while (lf > 1 && dist(x, ro, y, lf - 1) <= rr)
lf--;
while (rt < m && dist(x, ro, y, rt + 1) <= rr)
rt++;
events[ro].PB(MP(lf, i + 1));
events[ro].PB(MP(rt + 1, -(i + 1)));
ro--;
}
}
for (int i = 1; i <= n; i++){
int lst = 0;
sort(all(events[i]));
st.clear();
st.insert(0);
for (int it = 0; it < sz(events[i]); ){
int j = it;
ans += (ll(events[i][j].ft) - ll(lst) - 1) * (ll(k) - ll(*(--st.end())));
lst = events[i][j].ft - 1;
while (j < sz(events[i]) && events[i][j].ft == events[i][it].ft){
if (events[i][j].sd < 0)
st.erase(-events[i][j].sd);
else st.insert(events[i][j].sd);
j++;
}
it = j;
}
if (lst < m)
ans += (ll(m) - ll(lst)) * ll(k);
}
cout << ans;
return 0;
}
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