Submission #460905

#	Time	Username	Problem	Language	Result	Execution time	Memory
460905		grt	Teoretičar (COCI18_teoreticar)	C++17	0 / 130	1091 ms	107892 KiB

teoreticar

#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 = 200 * 1000 + 10;
int l, r, m;
int deg[nax][2];
pi edge[1000 * 1000 + 10];
vector<pi> V[nax][2];
int I[nax][2];
bool vis[1000 * 1000 + 10];
int col[1000 * 1000 + 10];
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) {
		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 <= l; ++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 <= l; ++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;
	int ptr = 1;
	nr = m;
	for(int i = 1; i <= l || deg[ptr][1] != pt; ++i) {
		l = max(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});
			//cout << nr << ": " << i << " " << ptr << "\n";
			edge[nr] = {i, ptr};
		}
	}
	r = max(r, ptr);
	rec(1, pt);
	for(int i = 1; i <= m; ++i) {
		cout << col[i] << "\n";
	}
	
	
}

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