This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef _DEBUG
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
#ifdef _DEBUG
int construct(std::vector<std::vector<int>> p);
void build(std::vector<std::vector<int>> b);
#endif
#ifndef _DEBUG
#include <supertrees.h>
#endif
int construct(std::vector<std::vector<int>> p)
{
int n = p.size();
std::vector<std::vector<int>> answer(n, vector<int>(n));
vector<int> all(n);
for (int i = 0; i < n; i++)
all[i] = i;
auto split = [&](vector<int> a, int splitter)
{
int n = a.size();
vector<set<int>> components;
map<int, int> componentId;
for (int i = 0; i < n; i++)
{
components.push_back({a[i]});
componentId[a[i]] = i;
}
auto merge = [&](int a, int b)
{
a = componentId[a];
b = componentId[b];
assert(components[a].size() && components[b].size());
if (a == b)
return;
if (components[a].size() < components[b].size())
swap(a, b);
for (auto x : components[b])
{
components[a].insert(x);
componentId[x] = a;
}
components[b].clear();
};
for (int i = 0; i < n; i++)
for (int j = i + 1; j < n; j++)
{
if (p[i][j] != splitter)
merge(a[i], a[j]);
}
for (int i = 0; i < n; i++)
for (int j = i + 1; j < n; j++)
{
if (p[a[i]][a[j]] == splitter && componentId[a[i]] == componentId[a[j]])
return vector<set<int>>{};
}
return components;
};
auto components = split(all, 0);
if (components.size() == 0)
return 0;
for (auto component : components)
{
if (component.size() == 0)
continue;
vector<int> all_in_comp(component.begin(), component.end());
auto sub_components = split(all_in_comp, 2);
if (sub_components.size() == 0 || sub_components.size() == 2)
return 0;
int prev_root = -1;
int first_root = -1;
for (auto sub_component : sub_components)
{
if (sub_component.size() == 0)
continue;
int prev = -1;
for (auto x : sub_component)
{
if (prev != -1)
answer[x][prev] = answer[prev][x] = 1;
prev = x;
}
int x = *sub_component.begin();
if (prev_root != -1)
answer[x][prev_root] = answer[prev_root][x] = 1;
else
first_root = x;
prev_root = x;
}
if (first_root != -1)
answer[first_root][prev_root] = answer[prev_root][first_root];
}
build(answer);
return 1;
}
#ifdef _DEBUG
#include <vector>
#include <cassert>
#include <cstdio>
#include <cstdlib>
#include <string>
static int n;
static std::vector<std::vector<int>> p;
static std::vector<std::vector<int>> b;
static bool called = false;
static void check(bool cond, std::string message)
{
if (!cond)
{
printf("%s\n", message.c_str());
fclose(stdout);
exit(0);
}
}
void build(std::vector<std::vector<int>> _b)
{
check(!called, "build is called more than once");
called = true;
check((int)_b.size() == n, "Invalid number of rows in b");
for (int i = 0; i < n; i++)
{
check((int)_b[i].size() == n, "Invalid number of columns in b");
}
b = _b;
}
int main()
{
assert(scanf("%d", &n) == 1);
p.resize(n);
for (int i = 0; i < n; i++)
{
p[i].resize(n);
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
assert(scanf("%d", &p[i][j]) == 1);
}
}
fclose(stdin);
int possible = construct(p);
check(possible == 0 || possible == 1, "Invalid return value of construct");
if (possible == 1)
{
check(called, "construct returned 1 without calling build");
}
else
{
check(!called, "construct called build but returned 0");
}
printf("%d\n", possible);
if (possible == 1)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
if (j)
{
printf(" ");
}
printf("%d", b[i][j]);
}
printf("\n");
}
}
fclose(stdout);
}
#endif
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