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>
using namespace std;
struct Seg{
long long n;
long long inf = (long long)1e9;
vector<vector<long long>> tree;
Seg(){}
Seg(long long N):n(N){
tree.resize(n * 4);
for(long long i = 0; i < n * 4; ++i){
tree[i] = {inf, -inf};
}
}
void push(long long x, long long l, long long r, long long pl, long long pr, vector<long long> val){
if(pr < l || pl > r) return;
if(l >= pl && r <= pr){
tree[x][0] = min(tree[x][0], val[0]);
tree[x][1] = max(tree[x][1], val[1]);
return;
}
long long mid = (l + r) >> 1;
push(x * 2, l, mid, pl, pr, val), push(x * 2 + 1, mid + 1, r, pl, pr, val);
tree[x][0] = min(tree[x * 2][0], tree[x * 2 + 1][0]);
tree[x][1] = max(tree[x * 2][1], tree[x * 2 + 1][1]);
}
long long left(long long x, long long l, long long r, long long fl, long long fr, long long val){
if(fr < l || fl > r) return inf;
if(tree[x][0] > val || tree[x][1] < val) return inf;
if(l == r) return l;
long long mid = (l + r) >> 1;
long long rv = left(x * 2, l, mid, fl, fr, val);
if(rv != inf) return rv;
return left(x * 2 + 1, mid + 1, r, fl, fr, val);
}
long long right(long long x, long long l, long long r, long long fl, long long fr, long long val){
if(fr < l || fl > r) return -inf;
if(tree[x][0] > val || tree[x][1] < val) return -inf;
if(l == r) return l;
long long mid = (l + r) >> 1;
long long rv = right(x * 2 + 1, mid + 1, r, fl, fr, val);
if(rv != -inf) return rv;
return right(x * 2, l, mid, fl, fr, val);
}
};
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
long long h, w;
cin >> h >> w;
long long n;
cin >> n;
vector<vector<long long>> p(n, vector<long long>(3));
vector<vector<long long>> srt(2, vector<long long>(n));
for(long long i = 0; i < n; ++i){
for(long long j = 0; j < 3; ++j){
cin >> p[i][j];
}
srt[0][i] = p[i][0], srt[1][i] = p[i][1];
}
srt[0].push_back(0), srt[0].push_back(h);
srt[1].push_back(0), srt[1].push_back(w);
for(long long i = 0; i < 2; ++i){
sort(srt[i].begin(), srt[i].end());
}
vector<vector<long long>> vv(2, vector<long long>(n + 8));
for(long long i = 0; i < n; ++i){
for(long long j = 0; j < 2; ++j){
p[i][j] = lower_bound(srt[j].begin(), srt[j].end(), p[i][j]) - srt[j].begin();
vv[j][p[i][j]] = max(vv[j][p[i][j]], p[i][j]);
p[i][j] = vv[j][p[i][j]]++;
}
}
Seg tree[2];
tree[0] = tree[1] = Seg(n + 8);
long long inf = (long long)1e9;
for(long long i = 0; i < 2; ++i){
tree[i].push(1, 0, n + 1, 0, 0, {-inf, inf});
tree[i].push(1, 0, n + 1, (long long)srt[i].size() - 1, (long long)srt[i].size() - 1, {-inf, inf});
}
for(long long i = 0; i < n; ++i){
--p[i][2];
long long c = p[i][2];
long long l = tree[c].right(1, 0, n + 1, 0, p[i][c] - 1, p[i][1 - c]);
long long r = tree[c].left(1, 0, n + 1, p[i][c] + 1, (long long)srt[c].size() - 1, p[i][1 - c]);
long long d = tree[1 - c].right(1, 0, n + 1, 0, p[i][1 - c] - 1, p[i][c]);
long long u = tree[1 - c].left(1, 0, n + 1, p[i][1 - c] + 1, (long long)srt[1 - c].size() - 1, p[i][c]);
long long L = srt[c][l], R = srt[c][r], D = srt[1 - c][d], U = srt[1 - c][u];
long long v1 = abs((R - L) * (srt[1 - c][p[i][1 - c]] - D)), v2 = abs((R - L) * (U - srt[1 - c][p[i][1 - c]]));
if(v1 > v2){
swap(v1, v2);
}
cout << v1 << ' ' << v2 << '\n';
tree[1 - c].push(1, 0, n + 1, p[i][1 - c], p[i][1 - c], {l, r});
}
return 0;
}
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