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E.cpp
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E.cpp
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/****************************** begin /template.h ******************************/
/***********************************************************************
* [?] APIO 2021 Template
* [+] Made By: Lior Yehezkely, FiveSixFiveFour
* [~] Apples are ORZ
* *********************************************************************/
/*** begin #define flags ***/
// #define USE_ORDERED_STATISTICS
// #define BIG_BIGINT
/*** end #define flags ***/
/*** begin includes ***/
#include <bits/stdc++.h>
#ifdef USE_ORDERED_STATISTICS
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#endif
using namespace std;
/*** end includes ***/
/*** begin typedefs ***/
typedef long long int ll;
#ifdef BIG_BIGINT
typedef __int128_t bigint;
#else
typedef ll bigint;
#endif
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<vpi> vvpi;
typedef vector<vpl> vvpl;
typedef set<int> si;
typedef multiset<int> msi;
typedef set<ll> sl;
typedef multiset<ll> msl;
typedef long double ld;
template<class T> using func = function<T>;
#ifdef USE_ORDERED_STATISTICS
typedef tree<
pl,
null_type,
less<pl>,
rb_tree_tag,
tree_order_statistics_node_update>
ordered_set;
#endif
/*** end typedefs ***/
/*** begin #defines ***/
#define clrcin cin.ignore(numeric_limits<streamsize>::max(),'\n');
#define GOGOGO ios::sync_with_stdio(false); cin.tie(nullptr);
#define BYEBYE return 0;
#define all(cn) (cn).begin(), (cn).end()
#define rep(i, n) for (int i = 0; i < n; ++i)
#define csz(c) ((int)c.size())
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define popcnt __builtin_popcount
#define popcntll __builtin_popcount_ll
/*** end #defines ***/
const int INFI = 1e9 + 5;
const ll INFL = 1e18 + 5;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
auto dist = uniform_int_distribution<int>(0, INFI);
auto distll = uniform_int_distribution<ll>(0, INFL);
int rnd() { return dist(rng); }
ll rndl() { return distll(rng); }
/****************************** end /template.h ******************************/
/****************************** begin /main.cpp ******************************/
/*** begin #define flags ***/
//#define BRUH_WHY_TESTCASES
//#define PREC 7
//#define INPUT_FILE "hi.in"
//#define OUTPUT_FILE "hi.out"
/*** end #define flags ***/
const int maxn = 2e3 + 5;
#define WINNING 'G'
#define LOSING 'M'
#define TIE 'D'
inline pair<int, int> rotate45(const pi& pos, int size) {
//return {(i-1) + (j-1) + 1, (i-1) - (j-1) + n - 1 + 1}
return {pos.fi - pos.se + size + 1, pos.fi + pos.se - 1 + 1};
}
struct Rectangle {
pi bottom_left;
pi top_right;
bool contains(const pi& pos) {
return bottom_left.fi <= pos.fi && pos.fi <= top_right.fi &&
bottom_left.se <= pos.se && pos.se <= top_right.se;
}
Rectangle intersect(const Rectangle& other) {
Rectangle res;
res.bottom_left.fi = max(bottom_left.fi, other.bottom_left.fi);
res.bottom_left.se = max(bottom_left.se, other.bottom_left.se);
res.top_right.fi = min(top_right.fi, other.top_right.fi);
res.top_right.se = min(top_right.se, other.top_right.se);
return res;
}
};
Rectangle get_banned_area(const pi& pos, int size, int banned_distance) {
return Rectangle{.bottom_left=rotate45({pos.fi-banned_distance, pos.se}, size),
.top_right=rotate45({pos.fi+banned_distance, pos.se}, size)};
}
int distance(const pi& a, const pi& b) {
return abs(a.fi - b.fi) + abs(a.se - b.se);
}
int n, k;
char result[maxn][maxn];
pi positions_of_values[maxn * maxn];
void input_and_setup() {
cin >> n >> k;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
int v; cin >> v;
positions_of_values[v] = {i,j};
}
}
}
void perform_algorithm() {
Rectangle losing_area = Rectangle{.bottom_left = {1, 1}, .top_right = {2*n, 2*n}};
for(int v = n * n; v >= 1; v--) {
const auto& pos = positions_of_values[v];
const auto& t_pos = rotate45(pos, n);
if (losing_area.contains(t_pos)) {
result[pos.fi][pos.se] = LOSING;
const auto& banned_area = get_banned_area(pos, n, k);
losing_area = losing_area.intersect(banned_area);
} else {
result[pos.fi][pos.se] = WINNING;
}
}
}
void output_result() {
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
cout << result[i][j];
}
cout << '\n';
}
}
void solve() {
input_and_setup();
perform_algorithm();
output_result();
}
void sanity_check() {
char m[4][4] = {{'\0', '\0','\0','\0'},
{'\0', '1', '2', '3'},
{'\0', '4', '5', '6'},
{'\0', '7', '8', '9'}};
char conv[8][8] = { { '\0' } };
for(int i = 1; i <= 7; i++) {
for(int j = 1; j <= 7; j++) {
conv[i][j] = 'X';
}
}
for(int i = 1; i <= 3; i++) {
for(int j = 1; j <= 3; j++) {
pi t = rotate45({i, j}, 3);
conv[t.fi][t.se] = m[i][j];
}
}
for(int i = 1; i <= 7; i++) {
for(int j = 1; j <= 7; j++) {
cout << conv[i][j];
}
cout << '\n';
}
auto banned_area = get_banned_area({2,2}, 3, 1);
cout << "banned_area:\n\t" << "{" << banned_area.bottom_left.fi << ", " << banned_area.bottom_left.se << "}" << "\n\t" << "{" << banned_area.top_right.fi << ", " << banned_area.top_right.se << "}" << '\n' << '\n';
}
/*
explanation of rotate45:
The idea: diamonds -> rectangles
XXXYXXX
XXYYYXX
XYYYYYX
YYYYYYY
XYYYYYX
XXYYYXX
XXXYXXX
789ABCD
6789ABC
56789AB
456789A
3456789
2345678
1234567
T: (i, j) ~~~~~> (i+j, -(i+j) + 2*i + n - 1)
=>
T: (i, j) ~~~~~> (i+j, i - j + n - 1)
xxxxxxDxxxxxx
xxxxxCxCxxxxx
xxxxBxBxBxxxx
xxxAxAxAxAxxx
xx9x9x9x9x9xx
x8x8x8x8x8x8x
7x7x7x7x7x7x7
x6x6x6x6x6x6x
xx5x5x5x5x5xx
xxx4x4x4x4xxx
xxxx3x3x3xxxx
xxxxx2x2xxxxx
xxxxxx1xxxxxx
*/
signed main()
{
#ifdef INPUT_FILE
freopen(INPUT_FILE, "r", stdin);
#endif
#ifdef OUTPUT_FILE
freopen(OUTPUT_FILE, "w", stdout);
#endif
GOGOGO
#ifdef PREC
cout << fixed << setprecision(PREC);
#endif
int t=1;
#ifdef BRUH_WHY_TESTCASES
cin >> t;
#endif
while(t--)
{
solve();
}
BYEBYE
}
/* PLEASE READ THIS
* N = 1
* GUESS A!!!!!!!
* DO SOMETHING INSTEAD OF NOTHING
*/
/****************************** end /main.cpp ******************************/