oj.uz

Submission #1114028

# Submission time Handle Problem Language Result Execution time Memory
1114028 2024-11-18T06:32:00 Z Dan4Life The Kingdom of JOIOI (JOI17_joioi) C++17
60 / 100
 4000 ms 101320 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+10;
int n, m, lst[N];
int dp[N][N], pref[N][N];
int a[N][N], b[N][N], c[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(){
	for(int k : {0,1}){
		memset(dp,0,sizeof(dp));
		memset(pref,0,sizeof(pref));
		memset(lst,0,sizeof(lst));
		for(int i = 0; i < n; i++){
			for(int j = 0; j < m; j++){
				pref[i][j+1] = pref[i][j]+(!b[i][j] or b[i][j]==k);
				if(b[i][j]==k) lst[i]=j+1;
			}
		}
		for(int i = 0; i < n; i++){
			for(int j = lst[i]; j <= m; j++){
				if(pref[i][j]!=j) break;
				if(!i) dp[i][j]=(j!=m);
				else{
					for(int k = lst[i-1]; k <= j; k++) 
						dp[i][j]|=dp[i-1][k];
				}
			}
		}
		bool ok = 0;
		for(int i = 1; i <= m; i++) ok|=dp[n-1][i];
		if(ok) return 1;
		
		memset(dp,0,sizeof(dp));
		for(int i = n-1; i >= 0; i--){
			for(int j = lst[i]; j <= m; j++){
				if(pref[i][j]!=j) break;
				if(i==n-1) dp[i][j]=(j!=m);
				else{
					for(int k = lst[i+1]; k <= j; k++) 
						dp[i][j]|=dp[i+1][k];
				}
			}
		}
		for(int i = 1; i <= m; i++) ok|=dp[0][i];
		if(ok) return 1;
	}
	return 0;
}

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(){
	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 = (int)1e9;
	while(l<r){
		int mid = (l+r)/2;
		if(chk(mid)) r=mid;
		else l=mid+1;
	}
	cout << l << "\n";
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 398 ms 50512 KB Output is correct
2 Correct 388 ms 50612 KB Output is correct
3 Correct 393 ms 50512 KB Output is correct
4 Correct 216 ms 50524 KB Output is correct
5 Correct 431 ms 50512 KB Output is correct
6 Correct 257 ms 50512 KB Output is correct
7 Correct 459 ms 50560 KB Output is correct
8 Correct 446 ms 50512 KB Output is correct
9 Correct 430 ms 50512 KB Output is correct
10 Correct 478 ms 50568 KB Output is correct
11 Correct 444 ms 50512 KB Output is correct
12 Correct 431 ms 50620 KB Output is correct
13 Correct 435 ms 50624 KB Output is correct
14 Correct 431 ms 50572 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 398 ms 50512 KB Output is correct
2 Correct 388 ms 50612 KB Output is correct
3 Correct 393 ms 50512 KB Output is correct
4 Correct 216 ms 50524 KB Output is correct
5 Correct 431 ms 50512 KB Output is correct
6 Correct 257 ms 50512 KB Output is correct
7 Correct 459 ms 50560 KB Output is correct
8 Correct 446 ms 50512 KB Output is correct
9 Correct 430 ms 50512 KB Output is correct
10 Correct 478 ms 50568 KB Output is correct
11 Correct 444 ms 50512 KB Output is correct
12 Correct 431 ms 50620 KB Output is correct
13 Correct 435 ms 50624 KB Output is correct
14 Correct 431 ms 50572 KB Output is correct
15 Correct 397 ms 51280 KB Output is correct
16 Correct 738 ms 53584 KB Output is correct
17 Correct 807 ms 53684 KB Output is correct
18 Correct 463 ms 53804 KB Output is correct
19 Correct 519 ms 53868 KB Output is correct
20 Correct 540 ms 51784 KB Output is correct
21 Correct 727 ms 53924 KB Output is correct
22 Correct 182 ms 53832 KB Output is correct
23 Correct 420 ms 53848 KB Output is correct
24 Correct 258 ms 51784 KB Output is correct
25 Correct 495 ms 53984 KB Output is correct
26 Correct 616 ms 53740 KB Output is correct
27 Correct 874 ms 53928 KB Output is correct
28 Correct 824 ms 53832 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 398 ms 50512 KB Output is correct
2 Correct 388 ms 50612 KB Output is correct
3 Correct 393 ms 50512 KB Output is correct
4 Correct 216 ms 50524 KB Output is correct
5 Correct 431 ms 50512 KB Output is correct
6 Correct 257 ms 50512 KB Output is correct
7 Correct 459 ms 50560 KB Output is correct
8 Correct 446 ms 50512 KB Output is correct
9 Correct 430 ms 50512 KB Output is correct
10 Correct 478 ms 50568 KB Output is correct
11 Correct 444 ms 50512 KB Output is correct
12 Correct 431 ms 50620 KB Output is correct
13 Correct 435 ms 50624 KB Output is correct
14 Correct 431 ms 50572 KB Output is correct
15 Correct 397 ms 51280 KB Output is correct
16 Correct 738 ms 53584 KB Output is correct
17 Correct 807 ms 53684 KB Output is correct
18 Correct 463 ms 53804 KB Output is correct
19 Correct 519 ms 53868 KB Output is correct
20 Correct 540 ms 51784 KB Output is correct
21 Correct 727 ms 53924 KB Output is correct
22 Correct 182 ms 53832 KB Output is correct
23 Correct 420 ms 53848 KB Output is correct
24 Correct 258 ms 51784 KB Output is correct
25 Correct 495 ms 53984 KB Output is correct
26 Correct 616 ms 53740 KB Output is correct
27 Correct 874 ms 53928 KB Output is correct
28 Correct 824 ms 53832 KB Output is correct
29 Execution timed out 4043 ms 101320 KB Time limit exceeded
30 Halted 0 ms 0 KB -