oj.uz

Submission #305237

# Submission time Handle Problem Language Result Execution time Memory
305237 2020-09-22T18:57:48 Z pit4h The Kingdom of JOIOI (JOI17_joioi) C++14
60 / 100
 4000 ms 142628 KB 
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const ll INF = 1e12+1;
bool possible(vector<vector<ll>> grid, ll M, ll L, ll R) {
	int h = grid.size(), w = grid[0].size();
	vector<vector<bool>> dp(h, vector<bool>(w+1));
	dp[0][0] = 1;
	for(int i=0; i<h; ++i) {
		ll mx = L;
		if(i!=0) {
			dp[i][0] = dp[i-1][0];
		}
		for(int j=0; j<w; ++j) {
			mx = max(mx, grid[i][j]);
			if(i!=0) {
				dp[i][j+1] = dp[i][j+1] | dp[i-1][j+1];
			}
			dp[i][j+1] = dp[i][j+1] | dp[i][j];
			if(mx-L > M) dp[i][j+1] = 0;
		}
		ll mini = R;
		for(int j=w; j>=0; --j) {
			if(R-mini > M) dp[i][j] = 0;
			if(j-1>=0) mini = min(mini, grid[i][j-1]);
		}
	}
	bool res = 0;
	for(int i=0; i<w; ++i) {
		if(dp[h-1][i+1]) res = 1;
	}
	return res;
}
ll solve(vector<vector<ll>> grid) {
	int h = grid.size(), w = grid[0].size();
	ll L = INF, R = 0;
	for(int i=0; i<h; ++i) {
		for(int j=0; j<w; ++j) {
			L = min(L, grid[i][j]);
			R = max(R, grid[i][j]);
		}
	}
	ll lo = 0, hi = R - L;
	ll res = INF;
	while(lo<=hi) {
		ll M = (lo+hi)/2;
		if(possible(grid, M, L, R)) {
			hi = M - 1;	
			res = M;
		}
		else {
			lo = M + 1;
		}
	}
	return res;
}
int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	int h, w; cin>>h>>w;
	vector<vector<ll>> grid(h, vector<ll>(w));
	for(int i=0; i<h; ++i) {
		for(int j=0; j<w; ++j) {
			cin>>grid[i][j];
		}
	}
	ll ans = INF;
	auto G = grid;
	ans = min(ans, solve(G));
	reverse(G.begin(), G.end());
	ans = min(ans, solve(G));
	for(int i=0; i<h; ++i) {
		reverse(G[i].begin(), G[i].end());	
	}
	ans = min(ans, solve(G));
	reverse(G.begin(), G.end());
	ans = min(ans, solve(G));	
	cout<<ans;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 14 ms 1784 KB Output is correct
17 Correct 56 ms 1976 KB Output is correct
18 Correct 50 ms 1956 KB Output is correct
19 Correct 56 ms 1976 KB Output is correct
20 Correct 44 ms 1784 KB Output is correct
21 Correct 71 ms 2096 KB Output is correct
22 Correct 72 ms 2080 KB Output is correct
23 Correct 79 ms 2096 KB Output is correct
24 Correct 97 ms 1896 KB Output is correct
25 Correct 82 ms 2280 KB Output is correct
26 Correct 78 ms 2092 KB Output is correct
27 Correct 73 ms 2096 KB Output is correct
28 Correct 73 ms 2096 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 14 ms 1784 KB Output is correct
17 Correct 56 ms 1976 KB Output is correct
18 Correct 50 ms 1956 KB Output is correct
19 Correct 56 ms 1976 KB Output is correct
20 Correct 44 ms 1784 KB Output is correct
21 Correct 71 ms 2096 KB Output is correct
22 Correct 72 ms 2080 KB Output is correct
23 Correct 79 ms 2096 KB Output is correct
24 Correct 97 ms 1896 KB Output is correct
25 Correct 82 ms 2280 KB Output is correct
26 Correct 78 ms 2092 KB Output is correct
27 Correct 73 ms 2096 KB Output is correct
28 Correct 73 ms 2096 KB Output is correct
29 Execution timed out 4082 ms 142628 KB Time limit exceeded
30 Halted 0 ms 0 KB -