Submission #1114091

# Submission time Handle Problem Language Result Execution time Memory
1114091 2024-11-18T07:41:05 Z Dan4Life The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
1867 ms 63184 KB
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) begin(a),end(a)
const int N = (int)2e3+2;
int n, m, a[N][N], b[N][N], c[N][N], dp[N][N];
 
void Rotate(){
	for(int i = 0; i < n; i++)
		for(int j = 0; j < m; j++)
			c[i][j] = b[i][j];
	for(int i = 0; i < n; i++)
		for(int j = 0; j < m; j++)
			b[j][i] = c[i][m-j-1];
	swap(n,m);
}
 
bool calc(){
	int bst=-1,bst2,lst,sum;
	for(int i = 0; i < n; i++){
		bst2=-1; lst=0; sum = 0;
		for(int j = m-1; j>=0; j--){
			if(b[i][j]==1){ lst=j+1; break; }
		}
		for(int j = 0; j < lst; j++) 
			dp[i][j]=0, sum+=(b[i][j]<=1);
		for(int j = lst; j <= m; j++){
			if(sum!=j){
				for(int k = j; k <= m; k++)dp[i][k]=0;
				break;
			}
			if(!i) dp[i][j]=(j!=m);
			else if(bst!=-1) dp[i][j]=(bst<=j);
			else dp[i][j]=0;
			if(dp[i][j] and bst2==-1) bst2=j; 
			sum+=(b[i][j]<=1);
		}
		bst=bst2;
	}
	bool ok = 0;
	for(int i = 1; i <= m; i++) ok|=dp[n-1][i];
	return ok;
}
 
int mn = (int)1e9, mx = 0;
bool chk(int R){
	memset(b,0,sizeof(b));
	for(int i = 0; i < n; i++){
		for(int j = 0; j < m; j++){
			if(a[i][j]>mn+R) b[i][j]=2;
			if(a[i][j]<mx-R){
				if(b[i][j]==2) return 0;
				b[i][j] = 1;
			}
		}
	}
	bool ok = 0;
	for(int i = 0; i < 4; i++) 
		ok|=calc(), Rotate();
	return ok;
}
 
int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cin >> n >> m;
	for(int i = 0; i < n; i++)
		for(int j = 0; j < m; j++)
			cin >> a[i][j],mn=min(mn,a[i][j]),mx=max(mx,a[i][j]);
	int l = 0, r = mx-mn;
	while(l<r){
		int mid = (l+r)/2;
		if(chk(mid)) r=mid;
		else l=mid+1;
	}
	cout << l << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 18768 KB Output is correct
2 Correct 3 ms 18768 KB Output is correct
3 Correct 13 ms 18936 KB Output is correct
4 Correct 14 ms 18768 KB Output is correct
5 Correct 13 ms 18768 KB Output is correct
6 Correct 12 ms 19096 KB Output is correct
7 Correct 21 ms 18948 KB Output is correct
8 Correct 14 ms 16720 KB Output is correct
9 Correct 27 ms 16800 KB Output is correct
10 Correct 25 ms 16208 KB Output is correct
11 Correct 27 ms 16208 KB Output is correct
12 Correct 24 ms 16208 KB Output is correct
13 Correct 26 ms 16208 KB Output is correct
14 Correct 21 ms 16208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 18768 KB Output is correct
2 Correct 3 ms 18768 KB Output is correct
3 Correct 13 ms 18936 KB Output is correct
4 Correct 14 ms 18768 KB Output is correct
5 Correct 13 ms 18768 KB Output is correct
6 Correct 12 ms 19096 KB Output is correct
7 Correct 21 ms 18948 KB Output is correct
8 Correct 14 ms 16720 KB Output is correct
9 Correct 27 ms 16800 KB Output is correct
10 Correct 25 ms 16208 KB Output is correct
11 Correct 27 ms 16208 KB Output is correct
12 Correct 24 ms 16208 KB Output is correct
13 Correct 26 ms 16208 KB Output is correct
14 Correct 21 ms 16208 KB Output is correct
15 Correct 13 ms 17744 KB Output is correct
16 Correct 20 ms 18768 KB Output is correct
17 Correct 36 ms 19024 KB Output is correct
18 Correct 23 ms 19024 KB Output is correct
19 Correct 28 ms 19024 KB Output is correct
20 Correct 38 ms 18768 KB Output is correct
21 Correct 40 ms 19100 KB Output is correct
22 Correct 28 ms 23632 KB Output is correct
23 Correct 35 ms 25168 KB Output is correct
24 Correct 15 ms 25168 KB Output is correct
25 Correct 29 ms 25168 KB Output is correct
26 Correct 25 ms 25200 KB Output is correct
27 Correct 31 ms 25048 KB Output is correct
28 Correct 27 ms 25168 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 18768 KB Output is correct
2 Correct 3 ms 18768 KB Output is correct
3 Correct 13 ms 18936 KB Output is correct
4 Correct 14 ms 18768 KB Output is correct
5 Correct 13 ms 18768 KB Output is correct
6 Correct 12 ms 19096 KB Output is correct
7 Correct 21 ms 18948 KB Output is correct
8 Correct 14 ms 16720 KB Output is correct
9 Correct 27 ms 16800 KB Output is correct
10 Correct 25 ms 16208 KB Output is correct
11 Correct 27 ms 16208 KB Output is correct
12 Correct 24 ms 16208 KB Output is correct
13 Correct 26 ms 16208 KB Output is correct
14 Correct 21 ms 16208 KB Output is correct
15 Correct 13 ms 17744 KB Output is correct
16 Correct 20 ms 18768 KB Output is correct
17 Correct 36 ms 19024 KB Output is correct
18 Correct 23 ms 19024 KB Output is correct
19 Correct 28 ms 19024 KB Output is correct
20 Correct 38 ms 18768 KB Output is correct
21 Correct 40 ms 19100 KB Output is correct
22 Correct 28 ms 23632 KB Output is correct
23 Correct 35 ms 25168 KB Output is correct
24 Correct 15 ms 25168 KB Output is correct
25 Correct 29 ms 25168 KB Output is correct
26 Correct 25 ms 25200 KB Output is correct
27 Correct 31 ms 25048 KB Output is correct
28 Correct 27 ms 25168 KB Output is correct
29 Correct 1010 ms 62392 KB Output is correct
30 Correct 996 ms 63176 KB Output is correct
31 Correct 1191 ms 62928 KB Output is correct
32 Correct 1014 ms 63184 KB Output is correct
33 Correct 452 ms 62188 KB Output is correct
34 Correct 1071 ms 63048 KB Output is correct
35 Correct 1744 ms 63176 KB Output is correct
36 Correct 859 ms 62928 KB Output is correct
37 Correct 1867 ms 63180 KB Output is correct