#include "mars.h"
#ifndef EVAL
#include "mars_grader.cpp"
#endif
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
using namespace std;
int region[41][41][21];
int get_count(string s)
{
int ans = 0;
for (int i = 90; i <= 99; i++)
ans = ans * 2 + (s[i] == '1');
return ans;
}
struct DSU
{
int dsu[200];
void init(int n)
{
for (int i = 0; i <= n; i++)
dsu[i] = i;
}
int find(int k)
{
return dsu[k] == k ? k : dsu[k] = find(dsu[k]);
}
int merge(int u, int v)
{
u = find(u), v = find(v);
if (u == v)
return 0;
dsu[u] = v;
return 1;
}
} dsu;
vector<int> parse_corner(int n, int &idx, string s)
{
vector<int> res(2 * n - 1, 0), mono;
for (int i = 0, j = 0; i < 2 * n - 1; i++, j += 2)
{
while (s[j] == '0' && s[j + 1] == '1')
{
mono.pop_back();
j += 2;
}
if (s[j] == '1' && s[j + 1] == '0')
{
mono.emplace_back(++idx);
res[i] = mono.back();
}
if (s[j] == '0' && s[j + 1] == '0')
res[i] = 0;
if (s[j] == '1' && s[j + 1] == '1')
res[i] = mono.back();
}
return res;
}
vector<int> parse_edge(int n, int &idx, string s)
{
vector<int> res(n, 0), mono;
for (int i = 0, j = 0; i < n; i++, j++)
{
if (s[j] == '0')
res[i] = 0;
else
{
if (i && s[j - 1] == '1')
res[i] = res[i - 1];
else
res[i] = ++idx;
}
}
return res;
}
// for corner:
// new: 10, end: 01, continue: 11, zero: 00
// for edge:
// has: 1, no: 0, last 10 bits: count
// first 66 bits: record side, last 10 bits: count
// only border cells in charge, others record themselves
string merge_edge(int n, bool add, string edge)
{
int tot = get_count(edge) + (edge[0] == '0' && add);
string ans = string(100, '0');
for (int i = n; i >= 1; i--)
ans[i] = edge[i - 1];
ans[0] = (add ? '1' : '0');
for (int i = 99; i > 89; i--)
{
if (tot % 2)
ans[i] = '1';
tot /= 2;
}
return ans;
}
string merge_corner(int n, string before, string corner, string after, string middle)
{
int idx = 0, tot = get_count(before) + get_count(corner) + get_count(after) + get_count(middle);
dsu.init(4 * n);
vector<int> cor = parse_corner(n, idx, corner),
bef = parse_edge(n, idx, before),
aft = parse_edge(n, idx, after),
res(2 * n + 1, 0);
int mid = (middle[0] == '1' ? ++idx : 0);
reverse(bef.begin(), bef.end());
for (int i = 0; i < n; i++)
if (cor[i] && bef[i])
tot -= dsu.merge(cor[i], bef[i]);
for (int i = 0; i < n; i++)
if (cor[i + n - 1] && aft[i])
tot -= dsu.merge(cor[i + n - 1], aft[i]);
if (bef[n - 1] && mid)
tot -= dsu.merge(bef[n - 1], mid);
if (aft[0] && mid)
tot -= dsu.merge(aft[0], mid);
for (int i = 0; i < n; i++)
res[i] = dsu.find(bef[i]);
res[n] = dsu.find(mid);
for (int i = 0; i < n; i++)
res[n + 1 + i] = dsu.find(aft[i]);
string ans = string(100, '0');
vector<int> mono, vis(4 * n + 1, 0);
for (int i = 0, j = 0; i < 2 * n + 1; i++, j += 2)
{
if (res[i] == 0)
ans[j] = ans[j + 1] = '0';
else
{
if (vis[res[i]] == 0)
{
vis[res[i]] = 1;
mono.emplace_back(res[i]);
ans[j] = '1', ans[j + 1] = '0';
}
else
{
while (mono.back() != res[i])
{
ans[j] = '0', ans[j + 1] = '1';
j += 2;
}
ans[j] = '1', ans[j + 1] = '1';
}
}
}
for (int i = 99; i > 89; i--)
{
if (tot % 2)
ans[i] = '1';
tot /= 2;
}
// for (int i : bef)
// cerr << i << ' ';
// cerr << '\n';
// for (int i : cor)
// cerr << i << ' ';
// cerr << '\n';
// for (int i : aft)
// cerr << i << ' ';
// cerr << '\n';
// cerr << mid << ' ';
// cerr << '\n';
// cerr << "merge into\n";
// for (int i : res)
// cerr << i << ' ';
// cerr << '\n';
// idx = 0;
// res = parse_corner(n + 1, idx, ans);
// cerr << "decode as\n";
// for (int i : res)
// cerr << i << ' ';
// cerr << '\n';
// cerr << '\n';
return ans;
}
string process(vector<vector<string>> a, int i, int j, int k, int n)
{
k++;
i += k, j += k;
if (k == 1)
{
for (int x = 0; x < 3; x++)
for (int y = 0; y < 3; y++)
if (a[x][y][0] == '1')
a[x][y][0] = '1', a[x][y][1] = '0', a[x][y][2] = '0', a[x][y][3] = '1', a[x][y][99] = '1';
}
// return answer
if (k == n)
{
int idx = 0, tot = 0;
for (int x = 0; x < 3; x++)
for (int y = 0; y < 3; y++)
tot += get_count(a[x][y]);
cerr << tot << '\n';
dsu.init(9 * n + 1);
vector<int> ul = parse_corner(n, idx, a[0][0]),
ur = parse_corner(n, idx, a[0][2]),
dr = parse_corner(n, idx, a[2][2]),
dl = parse_corner(n, idx, a[2][0]),
l = parse_edge(n, idx, a[1][0]),
r = parse_edge(n, idx, a[1][2]),
u = parse_edge(n, idx, a[0][1]),
d = parse_edge(n, idx, a[2][1]);
int mid = (a[1][1][0] == '1' ? ++idx : 0);
#define merge1(a, b) \
for (int p = 0; p < n; p++) \
if (a[p] && b[p]) \
tot -= dsu.merge(a[p], b[p]);
#define merge2(a, b) \
for (int p = 0; p < n; p++) \
if (a[p + n - 1] && b[p]) \
tot -= dsu.merge(a[p + n - 1], b[p]);
merge2(ul, u);
merge2(ur, r);
merge2(dr, d);
merge2(dl, l);
if (mid && l[0])
tot -= dsu.merge(mid, l[0]);
if (mid && r[0])
tot -= dsu.merge(mid, r[0]);
if (mid && d[0])
tot -= dsu.merge(mid, d[0]);
if (mid && u[0])
tot -= dsu.merge(mid, u[0]);
reverse(l.begin(), l.end());
reverse(r.begin(), r.end());
reverse(d.begin(), d.end());
reverse(u.begin(), u.end());
merge1(ul, l);
merge1(ur, u);
merge1(dr, r);
merge1(dl, d);
string ans = string(100, '0');
for (int p = 0; p < 10; p++)
{
if (tot % 2)
ans[p] = '1';
tot /= 2;
}
return ans;
}
int sz = k;
// top left
if (i == k && j == k)
return merge_corner(sz, a[1][0], a[0][0], a[0][1], a[1][1]);
// top right
if (i == k && j + k == 2 * n)
return merge_corner(sz, a[0][1], a[0][2], a[1][2], a[1][1]);
// bottom left
if (i + k == 2 * n && j == k)
return merge_corner(sz, a[2][1], a[2][0], a[1][0], a[1][1]);
// bottom right
if (i + k == 2 * n && j + k == 2 * n)
return merge_corner(sz, a[1][2], a[2][2], a[2][1], a[1][1]);
// top
if (i == k)
return merge_edge(sz, a[1][1][0] == '1', a[0][1]);
// left
if (j == k)
return merge_edge(sz, a[1][1][0] == '1', a[1][0]);
// bottom
if (i + k == 2 * n)
return merge_edge(sz, a[1][1][0] == '1', a[2][1]);
// right
if (j + k == 2 * n)
return merge_edge(sz, a[1][1][0] == '1', a[1][2]);
return a[1][1];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
2248 KB |
Output is correct |
2 |
Correct |
8 ms |
2292 KB |
Output is correct |
3 |
Correct |
8 ms |
2836 KB |
Output is correct |
4 |
Correct |
8 ms |
2636 KB |
Output is correct |
5 |
Correct |
10 ms |
2280 KB |
Output is correct |
6 |
Correct |
8 ms |
2588 KB |
Output is correct |
7 |
Correct |
12 ms |
2440 KB |
Output is correct |
8 |
Incorrect |
2 ms |
200 KB |
Incorrect |
9 |
Halted |
0 ms |
0 KB |
- |