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;
#define all(x) (x).begin(), (x).end()
#define sz(x) ( (int)(x).size() )
using LL = long long;
const int MAX = 1e9;
int n, m, Cnt;
vector<array<int, 5> > paper;
vector<array<int, 3> > p;
vector<int> comC, par, nChi, ans, cnt;
vector<bool> mark;
vector<vector<int> > col, gr;
struct Node {
int lC, rC;
vector<int> cover;
Node() { lC = rC = 0; cover.clear(); }
};
struct It {
vector<Node> node;
It() { node.assign(1, Node() ); }
void add(int l, int r, int val, int i = 0, int Left = 1, int Right = MAX) {
if (r < Left || Right < l) return ;
if (l <= Left && Right <= r) {
node[i].cover.emplace_back(val);
return ;
}
int Mid = (Left + Right) >> 1;
if (!node[i].lC) node[i].lC = sz(node), node.emplace_back(Node() );
if (!node[i].rC) node[i].rC = sz(node), node.emplace_back(Node() );
add(l, r, val, node[i].lC, Left, Mid);
add(l, r, val, node[i].rC, Mid + 1, Right);
}
void rem(int l, int r, int val, int i = 0, int Left = 1, int Right = MAX) {
if (r < Left || Right < l) return ;
if (l <= Left && Right <= r) {
assert(node[i].cover.back() == val);
node[i].cover.pop_back();
return ;
}
int Mid = (Left + Right) >> 1;
if (!node[i].lC) node[i].lC = sz(node), node.emplace_back(Node() );
if (!node[i].rC) node[i].rC = sz(node), node.emplace_back(Node() );
rem(l, r, val, node[i].lC, Left, Mid);
rem(l, r, val, node[i].rC, Mid + 1, Right);
}
int get(int pos, int i = 0, int Left = 1, int Right = MAX) {
int ret = -1;
if (sz(node[i].cover) ) ret = node[i].cover.back();
int Mid = (Left + Right) >> 1;
int tmp;
if (pos <= Mid) tmp = node[i].lC ? get(pos, node[i].lC, Left, Mid) : -1;
else tmp = node[i].rC ? get(pos, node[i].rC, Mid + 1, Right) : -1;
return tmp != -1 ? tmp : ret;
}
} it;
void calNChi(int u) {
for (int v : gr[u]) {
calNChi(v);
nChi[u] += nChi[v];
}
}
void calCnt(int u, int val) {
for (int c : col[u]) {
cnt[c] += val;
if (val == 1 && cnt[c] == 1) ++Cnt;
if (val == -1 && !cnt[c]) --Cnt;
}
for (int v : gr[u]) if (!mark[v]) calCnt(v, val);
}
void solve(int u, bool del) {
int bC = -1;
for (int v : gr[u]) if (bC == -1 || nChi[bC] < nChi[v]) bC = v;
for (int v : gr[u]) if (v != bC) solve(v, true);
if (bC != -1) {
solve(bC, false);
mark[bC] = true;
}
calCnt(u, 1);
ans[u] = Cnt;
if (bC != -1) mark[bC] = false;
if (del) calCnt(u, -1);
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// freopen("PAINT.INP", "r", stdin);
// freopen("PAINT.OUT", "w", stdout);
cin >> n >> m;
for (int i = 0; i < n; ++i) {
int a, b, c, d; cin >> a >> b >> c >> d;
paper.emplace_back(array<int, 5>{ a, b, d, 1, i } );
paper.emplace_back(array<int, 5>{ c + 1, b, d, -1, i } );
}
sort(all(paper) );
p.assign(m, {} );
for (int i = 0; i < m; ++i) {
for (int j = 0; j < 3; ++j) cin >> p[i][j];
comC.emplace_back(p[i][2]);
}
sort(all(p) );
sort(all(comC) ); comC.erase(unique(all(comC) ), comC.end() );
for (int i = 0; i < m; ++i) p[i][2] = (int)(lower_bound(all(comC), p[i][2]) - comC.begin() );
par.assign(n, -1);
col.assign(n, {} );
gr.assign(n, {} );
auto iPaper = paper.begin();
auto iP = p.begin();
auto doPaper = [&]() {
if ( (*iPaper)[3] == 1) {
par[ (*iPaper)[4] ] = it.get( (*iPaper)[1]);
if (par[ (*iPaper)[4] ] != -1) gr[ par[ (*iPaper)[4] ] ].emplace_back( (*iPaper)[4]);
it.add( (*iPaper)[1], (*iPaper)[2], (*iPaper)[4]);
}
else it.rem( (*iPaper)[1], (*iPaper)[2], (*iPaper)[4]);
++iPaper;
};
auto doP = [&]() {
int i = it.get( (*iP)[1]);
if (i != -1) col[i].emplace_back( (*iP)[2]);
++iP;
};
while (iPaper != paper.end() || iP != p.end() ) {
if (iPaper == paper.end() ) doP();
else if (iP == p.end() ) doPaper();
else {
if ( (*iPaper)[0] <= (*iP)[0] ) doPaper();
else if ( (*iPaper)[0] > (*iP)[0] ) doP();
}
}
nChi.assign(n, 1);
ans.assign(n, 0);
cnt.assign(sz(comC), 0);
mark.assign(n, false);
for (int i = 0; i < n; ++i) if (par[i] == -1) calNChi(i);
for (int i = 0; i < n; ++i) if (par[i] == -1) solve(i, true);
for (int i = 0; i < n; ++i) cout << ans[i] << '\n';
return 0;
}
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