Submission #1081120

# Submission time Handle Problem Language Result Execution time Memory
1081120 2024-08-29T18:35:55 Z Trent The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
3363 ms 134116 KB
#include "bits/stdc++.h"
using namespace std;
#define forR(i, x) for(int i=0; i<(x); ++i)
#define REP(i, a, b) for(int i=(a); i<(b); ++i)
#define all(x) x.begin(), x.end()
#define boost() cin.sync_with_stdio(0); cin.tie(0)
typedef long long ll;
typedef vector<int> vi;

const int MN = 2010;
int a[MN][MN];
int h, w;
struct cell{int r, c, val;};
cell bv[MN * MN];
int osa[MN][MN], xsa[MN][MN];

void setOnes(int lBound, int hBound) {
	REP(r, 1, h+1) REP(c, 1, w+1) osa[r][c] = xsa[r][c] = 0;
	forR(i, h*w) {
		if(bv[i].val <= lBound) osa[bv[i].r][bv[i].c] += 1;
		if(bv[i].val >= hBound) xsa[bv[i].r][bv[i].c] += 1;
	}
}
void propagate(int arr[MN][MN], int dr, int dc) {
	for(int i = (dr == 1 ? 1 : h); i > 0 && i <= h; i += dr) {
		for(int j = (dc == 1 ? 1 : w); j > 0 && j <= w; j += dc) {
			arr[i][j] += arr[i-dr][j] + arr[i][j-dc] - arr[i-dr][j-dc];
		}
	}
}
bool hasCommon() {
	REP(r, 1, h+1) REP(c, 1, w+1) if(osa[r][c] > 0 && xsa[r][c] > 0) return true;
	return false;
}
bool possible(int mDiff) {
	int lBound = bv[h*w-1].val - mDiff - 1;
	int hBound = bv[0].val + mDiff + 1;

	setOnes(lBound, hBound);
	propagate(osa, 1, 1);
	propagate(xsa, -1, -1);
	if(!hasCommon()) return true;

	setOnes(lBound, hBound);
	propagate(osa, 1, -1);
	propagate(xsa, -1, 1);
	if(!hasCommon()) return true;

	setOnes(lBound, hBound);
	propagate(osa, -1, 1);
	propagate(xsa, 1, -1);
	if(!hasCommon()) return true;

	setOnes(lBound, hBound);
	propagate(osa, -1, -1);
	propagate(xsa, 1, 1);
	if(!hasCommon()) return true;

	return false;
}
int calcAns() {
	int cells = h * w;
	sort(bv, bv + cells, [](cell a, cell b){return a.val < b.val;});

	possible(5);

	int lo = -1, hi = 1e9;
	while(hi - lo > 1) {
		int mid = (lo+hi)/2;
		if(possible(mid)) hi = mid;
		else lo = mid;
	}
	return hi;
}

signed main() {
	boost();
	cin >> h >> w;
	REP(r, 1, h+1) REP(c, 1, w+1) {
		cin >> a[r][c];
		bv[(r-1)*w + (c-1)] = {r, c, a[r][c]};
	}
	int bes = calcAns();
	cout << bes << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6488 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6488 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 2 ms 6488 KB Output is correct
16 Correct 12 ms 12964 KB Output is correct
17 Correct 20 ms 13152 KB Output is correct
18 Correct 26 ms 13148 KB Output is correct
19 Correct 17 ms 13148 KB Output is correct
20 Correct 16 ms 12892 KB Output is correct
21 Correct 25 ms 13276 KB Output is correct
22 Correct 24 ms 13148 KB Output is correct
23 Correct 25 ms 13156 KB Output is correct
24 Correct 30 ms 13144 KB Output is correct
25 Correct 28 ms 13148 KB Output is correct
26 Correct 22 ms 13148 KB Output is correct
27 Correct 26 ms 13144 KB Output is correct
28 Correct 27 ms 13272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6488 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 2 ms 6488 KB Output is correct
16 Correct 12 ms 12964 KB Output is correct
17 Correct 20 ms 13152 KB Output is correct
18 Correct 26 ms 13148 KB Output is correct
19 Correct 17 ms 13148 KB Output is correct
20 Correct 16 ms 12892 KB Output is correct
21 Correct 25 ms 13276 KB Output is correct
22 Correct 24 ms 13148 KB Output is correct
23 Correct 25 ms 13156 KB Output is correct
24 Correct 30 ms 13144 KB Output is correct
25 Correct 28 ms 13148 KB Output is correct
26 Correct 22 ms 13148 KB Output is correct
27 Correct 26 ms 13144 KB Output is correct
28 Correct 27 ms 13272 KB Output is correct
29 Correct 2475 ms 113492 KB Output is correct
30 Correct 2059 ms 113556 KB Output is correct
31 Correct 2237 ms 118096 KB Output is correct
32 Correct 1989 ms 118100 KB Output is correct
33 Correct 2600 ms 104488 KB Output is correct
34 Correct 2230 ms 118384 KB Output is correct
35 Correct 2930 ms 133940 KB Output is correct
36 Correct 3363 ms 123140 KB Output is correct
37 Correct 2895 ms 134116 KB Output is correct