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GraphGen.h
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200 lines (190 loc) · 5.27 KB
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#pragma once
#include<vector>
//#include <chrono>
//#include<algorithm>
//#include<iostream>
struct Graph
{
int seed, e, v;
std::vector<std::vector<int>> mtx;
std::vector<std::pair<int, int>> edges;
std::vector<std::vector<int>> listsm;
};
auto genTree(int minG = 0, int maxG = 1e7, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
std::vector<int> ans;
ans.push_back(-1);
std::vector<std::vector<int>> ans2(v, std::vector<int>(v, 0));
Graph Ans;
Ans.seed = seed;
for (unsigned long long i = 1; i < v; i++)
ans.push_back(a() % i);
for (unsigned long long i = 0; i < ans.size(); i++)
if (ans[i] != -1) {
ans2[i][ans[i]] = ans2[ans[i]][i] = 1;
Ans.edges.emplace_back(i, ans[i]);
}
Ans.mtx = ans2;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}
auto genGraph(int minG = 0, int maxG = 1e9, int minS = 0, int maxS = 1e5, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
maxS = (maxS > (v * (v - 1)) / 2 ? (v * (v - 1)) / 2 : maxS);
long long d = a() % (maxS - minS + 1) + minS;
std::vector<std::vector<int>> ans(v, std::vector<int>(v, 0));
Graph Ans;
Ans.listsm.resize(v);
for (int i = 0; i < d; i++) {
int q = a() % v, w = a() % v;
if (q == w)i--;
else if (ans[q][w] == 1)i--;
else {
ans[q][w] = ans[w][q] = 1;
Ans.edges.emplace_back(q, w);
Ans.listsm[q].push_back(w);
Ans.listsm[w].push_back(q);
}
}
Ans.seed = seed;
Ans.mtx = ans;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}
auto genMulti(int minG = 0, int maxG = 1e9, int minS = 0, int maxS = 1e5, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
long long d = a() % (maxS - minS + 1) + minS;
std::vector<std::vector<int>> ans(v, std::vector<int>(v, 0));
Graph Ans;
Ans.seed = seed;
if(v!=1)
for (int i = 0; i < d; i++) {
int q = a() % v, w = a() % v;
if (q == w)i--;
else {
ans[q][w] = ans[w][q] = ans[w][q] + 1;
Ans.edges.emplace_back(q, w);
}
}
Ans.mtx = ans;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}
auto genDirGraph(int minG = 0, int maxG = 1e9, int minS = 0, int maxS = 1e5, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
maxS = (maxS > (v * (v - 1)) / 2 ? (v * (v - 1)) / 2 : maxS);
long long d = a() % (maxS - minS + 1) + minS;
std::vector<std::vector<int>> ans(v, std::vector<int>(v, 0));
Graph Ans;
for (int i = 0; i < d; i++) {
int q = a() % v, w = a() % v;
if (q == w)i--;
else if (ans[q][w] == 1)i--;
else {
ans[q][w] = 1;
Ans.edges.emplace_back(q, w);
}
}
Ans.seed = seed;
Ans.mtx = ans;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}
auto genPseudo(int minG = 0, int maxG = 1e9, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
std::vector<std::vector<int>> ans(v, std::vector<int>(v, 0));
Graph Ans;
Ans.seed = seed;
if (v != 1)
for (int i = 1; i < v; i++) {
for (int j = 0; j <= i; j++) {
ans[i][j] = ans[j][i] = a() % 2;
Ans.edges.emplace_back(i, j);
}
}
Ans.mtx = ans;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}
auto genBipart(int minG = 0, int maxG = 1e9, int seed = std::chrono::steady_clock::now().time_since_epoch().count()){
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
std::vector <std::vector <int>> g(v, std::vector <int>(v, 0));
std::vector <int> d(v, 0);
int e = 0;
int dp = 0;
Graph Ans;
Ans.listsm.resize(v);
for (int i = 0; i < v; i++) {
d[i] = a() % 2;
dp += d[i];
}
for (int i = 1; i < v; i++) {
for(int j = 0; j < i; j++){
if(d[i] != d[j]){
g[i][j] = a() % 2;
g[j][i] = g[i][j];
e += g[i][j];
if (g[i][j] == 1) {
Ans.listsm[i].push_back(j);
Ans.listsm[j].push_back(i);
Ans.edges.emplace_back(i, j);
}
}
}
}
Ans.seed = seed;
Ans.mtx = g;
Ans.v = v;
Ans.e = e;
return Ans;
}
auto genCyclic(int minG = 0, int maxG = 1e7, int seed = std::chrono::steady_clock::now().time_since_epoch().count()) {
std::mt19937 a(seed);
long long v = a() % (maxG - minG + 1) + minG;
std::vector<int> ans;
ans.push_back(-1);
std::vector<std::vector<int>> ans2(v, std::vector<int>(v, 0));
Graph Ans;
Ans.seed = seed;
for (unsigned long long i = 1; i < v; i++)
ans.push_back(a() % i);
for (unsigned long long i = 0; i < ans.size(); i++)
if (ans[i] != -1) {
ans2[i][ans[i]] = ans2[ans[i]][i] = 1;
Ans.edges.emplace_back(i, ans[i]);
}
std::vector<int> r(v, 0);
for (int i = 0; i < v; i++)
r[i] = i;
for (int i = 0; i < v; i++) {
int z;
int zf = a() % v;
z = r[i];
r[i] = r[zf];
r[zf] = z;
}
int fl = 0;
for(int i = 1; i < v; i++)
if(!ans2[r[0]][r[i]]){
ans2[r[0]][r[i]] = ans2[r[i]][r[0]] = 1;
fl = 1;
break;
}
if (!fl)
ans2[r[1]][r[2]] = ans2[r[2]][r[1]] = 1;
Ans.mtx = ans2;
Ans.v = v;
Ans.e = Ans.edges.size();
return Ans;
}