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 PB push_back
#define ST first
#define ND second
#define _ ios_base::sync_with_stdio(0); cin.tie(0);
//mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
using namespace std;
using ll = long long;
using pi = pair<int,int>;
using vi = vector<int>;
const int nax = 1000 * 1000 + 10;
int l, r, m;
int deg[nax][2];
pi edge[nax];
vector<pi> V[nax][2];
int I[nax][2];
bool vis[nax];
int col[nax];
int nr;
vi cycle;
void eulerCycle(int x, bool turn) {
while(I[x][turn] < (int)V[x][turn].size()) {
auto nbh = V[x][turn][I[x][turn]++];
if(!vis[nbh.ND]) {
vis[nbh.ND] = true;
eulerCycle(nbh.ST, turn^1);
cycle.PB(nbh.ND);
}
}
}
vector<pi>V2[nax][2];
void rec(int a, int b) {
if(a == b) {
for(int i = 1; i <= l; ++i) {
col[V[i][0][0].ND] = a;
}
return;
}
//for(int i = 1; i <= l; ++i) {
//cout << i << " " << 0 << ": ";
//for(auto x : V[i][0]) cout << x.ST << " ";
//cout << "\n";
//}
//for(int i = 1; i <= r; ++i) {
//cout << i << " " << 1 << ": ";
//for(auto x : V[i][1]) cout << x.ST << " ";
//cout << "\n";
//}
//cout << "---\n";
for(int i = 1; i <= l; ++i) {
I[i][0] = 0;
for(auto nbh : V[i][0]) {
vis[nbh.ND] = false;
}
}
for(int i = 1; i <= r; ++i) {
I[i][1] = 0;
}
cycle.clear();
for(int i = 1; i <= l; ++i) {
eulerCycle(i, 0);
}
vi cyc = cycle;
for(int i = 0; i < (int)cyc.size(); i += 2) {
V2[edge[cyc[i]].ST][0].PB({edge[cyc[i]].ND, cyc[i]});
V2[edge[cyc[i]].ND][1].PB({edge[cyc[i]].ST, cyc[i]});
}
for(int i = 1; i <= l; ++i) {
V[i][0].swap(V2[i][0]);
V2[i][0].clear();
}
for(int i = 1; i <= r; ++i) {
V[i][1].swap(V2[i][1]);
V2[i][1].clear();
}
rec(a, (a + b)/2);
for(int i = 1; i < (int)cyc.size(); i += 2) {
V2[edge[cyc[i]].ST][0].PB({edge[cyc[i]].ND, cyc[i]});
V2[edge[cyc[i]].ND][1].PB({edge[cyc[i]].ST, cyc[i]});
}
for(int i = 1; i <= l; ++i) {
V[i][0].swap(V2[i][0]);
V2[i][0].clear();
}
for(int i = 1; i <= r; ++i) {
V[i][1].swap(V2[i][1]);
V2[i][1].clear();
}
rec((a+b)/2 + 1, b);
}
int main() {
cin >> l >> r >> m;
for(int a, b, i = 1; i <= m; ++i) {
cin >> a >> b;
edge[i] = {a, b};
deg[a][0]++;
deg[b][1]++;
V[a][0].PB({b, i});
V[b][1].PB({a, i});
//cout << i << ": " << a << " " << b << "\n";
}
int mx = 0;
for(int i = 1; i <= l; ++i) {
mx = max(mx, deg[i][0]);
}
for(int i = 1; i <= r; ++i) {
mx = max(mx, deg[i][1]);
}
int pt = 1;
while(pt < mx) pt *= 2;
//cout << pt << "\n";
int ptr = 1;
nr = m;
for(int i = 1; i <= l; ++i) {
while(deg[i][0] != pt) {
while(deg[ptr][1] == pt) ptr++;
deg[ptr][1]++;
deg[i][0]++;
nr++;
V[i][0].PB({ptr, nr});
V[ptr][1].PB({i, nr});
edge[nr] = {i, ptr};
//cout << nr << ": " << i << " " << ptr << "\n";
}
}
r = max(r, ptr);
ptr = 1;
for(int i = 1; i <= r; ++i) {
while(deg[i][1] != pt) {
while(deg[ptr][0] == pt) ptr++;
deg[ptr][0]++;
deg[i][1]++;
nr++;
V[i][1].PB({ptr, nr});
V[ptr][0].PB({i, nr});
edge[nr] = {ptr, i};
//cout << nr << ": " << ptr << " " << i << "\n";
}
}
l = max(l, ptr);
for(int i = 1; i <= l; ++i) {
assert(V[i][0].size() == pt);
}
for(int i = 1; i <= r; ++i) {
assert(V[i][1].size() == pt);
}
rec(1, pt);
cout << pt << "\n";
for(int i = 1; i <= m; ++i) {
assert(col[i] != 0);
cout << col[i] << "\n";
}
}
Compilation message (stderr)
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from teoreticar.cpp:1:
teoreticar.cpp: In function 'int main()':
teoreticar.cpp:150:25: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
150 | assert(V[i][0].size() == pt);
| ~~~~~~~~~~~~~~~^~~~~
teoreticar.cpp:153:25: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
153 | assert(V[i][1].size() == pt);
| ~~~~~~~~~~~~~~~^~~~~
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