Submission #1064143

#TimeUsernameProblemLanguageResultExecution timeMemory
1064143AmirAli_H1Soccer Stadium (IOI23_soccer)C++17
65.50 / 100
412 ms108960 KiB
// In the name of Allah

#include <bits/stdc++.h>
#include "soccer.h"
using namespace std;

typedef			long long				ll;
typedef			pair<int, int>			pii;
typedef			pair<ll, ll>			pll;

#define			F						first
#define			S						second
#define			endl					'\n'
#define			sep						' '
#define			pb						push_back
#define			Mp						make_pair
#define			all(x)					(x).begin(),(x).end()
#define			len(x)					((ll) (x).size())

const int maxn = 2000 + 4;

int n;
int A[maxn][maxn];
vector<pii> ls;
int val1[maxn][maxn], val2[maxn][maxn];
pii val[maxn]; int dp[maxn][maxn];

bool cmp(pii i, pii j) {
	return ((i.S - i.F) > (j.S - j.F));
}

bool is_ok() {
	ls.clear();
	for (int i = 0; i < n; i++) {
		int x = 0;
		for (int j = 0; j < n; j++) {
			if (A[i][j] != A[i][x]) {
				if (A[i][x] == 0) ls.pb(Mp(x, j - 1));
				x = j;
			}
		}
		if (A[i][x] == 0) ls.pb(Mp(x, n - 1));
	}
	sort(all(ls), cmp);
	
	for (int i = 1; i < len(ls); i++) {
		if (ls[i].F < ls[i - 1].F || ls[i].S > ls[i - 1].S) return 0;
	}
	return 1;
}

int check() {
	int num = 0; 
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) num += (A[i][j] == 0);
	}
	
	bool ok = 1;
	ok &= is_ok();
	for (int i = 0; i < n; i++) {
		for (int j = i; j < n; j++) swap(A[i][j], A[j][i]);
	}
	ok &= is_ok();
	for (int i = 0; i < n; i++) {
		for (int j = i; j < n; j++) swap(A[i][j], A[j][i]);
	}
	if (ok) return num;
	else return 0;
}

int get_val(int x, int y) {
	val[x] = Mp(val1[x][y], val2[x][y]);
	int lx = x, rx = x;
	for (int r = x + 1; r < n; r++) {
		if (A[r][y] == 1) break;
		val[r] = Mp(val1[r][y], val2[r][y]);
		val[r].F = max(val[r].F, val[r - 1].F);
		val[r].S = min(val[r].S, val[r - 1].S);
		rx = r;
	}
	for (int r = x - 1; r >= 0; r--) {
		if (A[r][y] == 1) break;
		val[r] = Mp(val1[r][y], val2[r][y]);
		val[r].F = max(val[r].F, val[r + 1].F);
		val[r].S = min(val[r].S, val[r + 1].S);
		lx = r;
	}
	
	for (int i = x; i >= lx; i--) {
		for (int j = x; j <= rx; j++) {
			int valx = min(val[i].S, val[j].S) - max(val[i].F, val[j].F) + 1;
			if (i == x && j == x) {
				dp[i][j] = valx;
			}
			else {
				dp[i][j] = 0;
				if (i + 1 <= x) {
					dp[i][j] = max(dp[i][j], dp[i + 1][j] + valx);
				}
				if (j - 1 >= x) {
					dp[i][j] = max(dp[i][j], dp[i][j - 1] + valx);
				}
			}
		}
	}
	
	return dp[lx][rx];
}

int solve() {
	int mx = 0;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			if (A[i][j] == 1) continue;
			mx = max(mx, get_val(i, j));
		}
	}
	return mx;
}

int biggest_stadium(int N, vector<vector<int>> F) {
	n = N;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			A[i][j] = F[i][j];
			if (A[i][j] == 1) ls.pb(Mp(i, j));
		}
	}
	
	if (len(ls) == 0) return (n * n);
	else if (len(ls) == 1) {
		int i = ls.back().F, j = ls.back().S;
		return (n * n) - (min(i + 1, n - i) * min(j + 1, n - j));
	}
	
	for (int i = 0; i < n; i++) {
		int x = 0;
		for (int j = 0; j < n; j++) {
			if (A[i][j] != A[i][x]) x = j;
			val1[i][j] = x;
		}
		x = n - 1;
		for (int j = n - 1; j >= 0; j--) {
			if (A[i][j] != A[i][x]) x = j;
			val2[i][j] = x;
		}
	}
	
	if (n <= 30) return solve();
	else return check();
}
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