#include <bits/stdc++.h>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
*/
using namespace std;
// using namespace __gnu_pbds;
using namespace chrono;
// mt19937 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
/*
template <class T> using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
*/
//***************** CONSTANTS *****************
const int NAX = 2000;
//***************** GLOBAL VARIABLES *****************
int grid[NAX][NAX], temp[NAX][NAX];
int H, W;
int mxv = 0, mnv = 1'000'000'000;
//***************** AUXILIARY STRUCTS *****************
//***************** MAIN BODY *****************
void solve(){
cin >> H >> W;
for(int i = 0; i < H; i++)
for(int j = 0; j < W; j++){
cin >> grid[i][j];
mxv = max(mxv, grid[i][j]);
mnv = min(mnv, grid[i][j]);
}
function<void()> vert = [](){
for(int i = 0; i < H; i++)
for(int j = 0; j < W; j++)
temp[H - i - 1][j] = grid[i][j];
for(int i = 0; i < H; i++)
for(int j = 0; j < W; j++)
grid[i][j] = temp[i][j];
};
function<void()> hor = [](){
for(int i = 0; i < H; i++)
for(int j = 0; j < W; j++)
temp[i][W - j - 1] = grid[i][j];
for(int i = 0; i < H; i++)
for(int j = 0; j < W; j++)
grid[i][j] = temp[i][j];
};
function<bool(int)> check = [](int mid)->bool{
int cur = H;
for(int j = 0; j < W; j++){
for(int i = 0; i < cur; i++)
if(mxv - grid[i][j] > mid){
cur = i - 1;
break;
}
for(int i = cur + 1; i < H; i++){
if(grid[i][j] - mnv > mid)
return false;
}
}
return true;
};
function<int()> find = [&]()->int{
int lo = 0, hi = mxv - mnv + 1, ans = mxv - mnv + 1;
while(lo <= hi){
int mid = (lo + hi) >> 1;
if(check(mid))
ans = mid, hi = mid - 1;
else lo = mid + 1;
}
return ans;
};
int ans = find();
hor();
ans = min(ans, find());
vert();
ans = min(ans, find());
hor();
ans = min(ans, find());
cout << ans << '\n';
}
//***************** *****************
int32_t main(){
ios_base::sync_with_stdio(NULL);
cin.tie(NULL);
#ifdef LOCAL
auto begin = high_resolution_clock::now();
#endif
int tc = 1;
// cin >> tc;
for (int t = 0; t < tc; t++)
solve();
#ifdef LOCAL
auto end = high_resolution_clock::now();
cout << fixed << setprecision(4);
cout << "Execution Time: " << duration_cast<duration<double>>(end - begin).count() << "seconds" << endl;
#endif
return 0;
}
/*
If code gives a WA, check for the following :
1. I/O format
2. Are you clearing all global variables in between tests if multitests are a thing
3. Can you definitively prove the logic
4. If the code gives an inexplicable TLE, and you are sure you have the best possible complexity,
use faster io
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |