#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdio>
#include <iomanip>
#include <fstream>
#include <cassert>
#include <cstring>
#include <unordered_set>
#include <unordered_map>
#include <numeric>
#include <ctime>
#include <bitset>
#include <complex>
#include <random>
using namespace std;
const int N = 2001;
const int INF = 1e9 + 239;
int n, m;
int a[N][N];
int cn[N][N];
int c1(int l, int r) {
{
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
cn[i][j] = 0;
}
}
for (int i = 0; i < n; i++) {
cn[i][0] = 1;
int ok = 1;
int j = m - 1;
for (int c = 1; c <= m; c++) {
ok &= (l <= a[i][j] && a[i][j] <= r);
j--;
cn[i][c] = ok;
}
}
}
auto can = [&](int i, int cnt) {
return cn[i][cnt];
};
vector<int> tk(n);
int pnt = 0;
for (int cnt = 0; cnt <= m; cnt++) {
if (can(n - 1, cnt)) {
pnt = cnt;
}
}
if (pnt == 0) return false;
tk[n - 1] = pnt;
for (int i = n - 2; i >= 0; i--) {
while (!can(i, pnt)) {
pnt--;
}
tk[i] = pnt;
}
int cmax = -1;
int cmin = INF;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m - tk[i]; j++) {
cmax = max(cmax, a[i][j]);
cmin = min(cmin, a[i][j]);
}
}
return cmax - cmin <= r - l;
}
int c2(int l, int r) {
{
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
cn[i][j] = 0;
}
}
for (int i = 0; i < n; i++) {
cn[i][0] = 1;
int ok = 1;
int j = 0;
for (int c = 1; c <= m; c++) {
ok &= (l <= a[i][j] && a[i][j] <= r);
j++;
cn[i][c] = ok;
}
}
}
auto can = [&](int i, int cnt) {
return cn[i][cnt];
};
vector<int> tk(n);
int pnt = 0;
for (int cnt = 0; cnt <= m; cnt++) {
if (can(0, cnt)) {
pnt = cnt;
}
}
if (pnt == 0) return false;
tk[0] = pnt;
for (int i = 1; i < n; i++) {
while (!can(i, pnt)) {
pnt--;
}
tk[i] = pnt;
}
int cmax = -1;
int cmin = INF;
for (int i = 0; i < n; i++) {
for (int j = tk[i]; j < m; j++) {
cmax = max(cmax, a[i][j]);
cmin = min(cmin, a[i][j]);
}
}
return cmax - cmin <= r - l;
}
int solve() {
int r = -1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
r = max(r, a[i][j]);
}
}
auto check = [&](int x) {
return c1(r - x, r) || c2(r - x, r);
};
int tl = -1;
int tr = INF;
while (tr - tl > 1) {
int tm = (tl + tr) / 2;
if (check(tm)) tr = tm;
else tl = tm;
}
return tr;
}
signed 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];
}
}
int ans = solve();
for (int i = 0; i < n; i++) {
reverse(a[i], a[i] + m);
}
ans = min(ans, solve());
cout << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
170 ms |
15992 KB |
Output is correct |
2 |
Correct |
171 ms |
16120 KB |
Output is correct |
3 |
Correct |
243 ms |
16092 KB |
Output is correct |
4 |
Correct |
268 ms |
16120 KB |
Output is correct |
5 |
Correct |
221 ms |
15992 KB |
Output is correct |
6 |
Correct |
265 ms |
15992 KB |
Output is correct |
7 |
Correct |
274 ms |
16120 KB |
Output is correct |
8 |
Correct |
280 ms |
15992 KB |
Output is correct |
9 |
Correct |
301 ms |
15996 KB |
Output is correct |
10 |
Correct |
290 ms |
16124 KB |
Output is correct |
11 |
Correct |
262 ms |
15992 KB |
Output is correct |
12 |
Correct |
279 ms |
15992 KB |
Output is correct |
13 |
Correct |
296 ms |
16096 KB |
Output is correct |
14 |
Correct |
281 ms |
15992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
170 ms |
15992 KB |
Output is correct |
2 |
Correct |
171 ms |
16120 KB |
Output is correct |
3 |
Correct |
243 ms |
16092 KB |
Output is correct |
4 |
Correct |
268 ms |
16120 KB |
Output is correct |
5 |
Correct |
221 ms |
15992 KB |
Output is correct |
6 |
Correct |
265 ms |
15992 KB |
Output is correct |
7 |
Correct |
274 ms |
16120 KB |
Output is correct |
8 |
Correct |
280 ms |
15992 KB |
Output is correct |
9 |
Correct |
301 ms |
15996 KB |
Output is correct |
10 |
Correct |
290 ms |
16124 KB |
Output is correct |
11 |
Correct |
262 ms |
15992 KB |
Output is correct |
12 |
Correct |
279 ms |
15992 KB |
Output is correct |
13 |
Correct |
296 ms |
16096 KB |
Output is correct |
14 |
Correct |
281 ms |
15992 KB |
Output is correct |
15 |
Correct |
174 ms |
16120 KB |
Output is correct |
16 |
Correct |
189 ms |
17016 KB |
Output is correct |
17 |
Correct |
225 ms |
17016 KB |
Output is correct |
18 |
Correct |
236 ms |
17144 KB |
Output is correct |
19 |
Correct |
253 ms |
17016 KB |
Output is correct |
20 |
Correct |
244 ms |
16892 KB |
Output is correct |
21 |
Correct |
298 ms |
17144 KB |
Output is correct |
22 |
Correct |
329 ms |
17016 KB |
Output is correct |
23 |
Correct |
248 ms |
17032 KB |
Output is correct |
24 |
Correct |
285 ms |
17016 KB |
Output is correct |
25 |
Correct |
254 ms |
17016 KB |
Output is correct |
26 |
Correct |
333 ms |
17032 KB |
Output is correct |
27 |
Correct |
288 ms |
17016 KB |
Output is correct |
28 |
Correct |
325 ms |
17144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
170 ms |
15992 KB |
Output is correct |
2 |
Correct |
171 ms |
16120 KB |
Output is correct |
3 |
Correct |
243 ms |
16092 KB |
Output is correct |
4 |
Correct |
268 ms |
16120 KB |
Output is correct |
5 |
Correct |
221 ms |
15992 KB |
Output is correct |
6 |
Correct |
265 ms |
15992 KB |
Output is correct |
7 |
Correct |
274 ms |
16120 KB |
Output is correct |
8 |
Correct |
280 ms |
15992 KB |
Output is correct |
9 |
Correct |
301 ms |
15996 KB |
Output is correct |
10 |
Correct |
290 ms |
16124 KB |
Output is correct |
11 |
Correct |
262 ms |
15992 KB |
Output is correct |
12 |
Correct |
279 ms |
15992 KB |
Output is correct |
13 |
Correct |
296 ms |
16096 KB |
Output is correct |
14 |
Correct |
281 ms |
15992 KB |
Output is correct |
15 |
Correct |
174 ms |
16120 KB |
Output is correct |
16 |
Correct |
189 ms |
17016 KB |
Output is correct |
17 |
Correct |
225 ms |
17016 KB |
Output is correct |
18 |
Correct |
236 ms |
17144 KB |
Output is correct |
19 |
Correct |
253 ms |
17016 KB |
Output is correct |
20 |
Correct |
244 ms |
16892 KB |
Output is correct |
21 |
Correct |
298 ms |
17144 KB |
Output is correct |
22 |
Correct |
329 ms |
17016 KB |
Output is correct |
23 |
Correct |
248 ms |
17032 KB |
Output is correct |
24 |
Correct |
285 ms |
17016 KB |
Output is correct |
25 |
Correct |
254 ms |
17016 KB |
Output is correct |
26 |
Correct |
333 ms |
17032 KB |
Output is correct |
27 |
Correct |
288 ms |
17016 KB |
Output is correct |
28 |
Correct |
325 ms |
17144 KB |
Output is correct |
29 |
Correct |
1271 ms |
30968 KB |
Output is correct |
30 |
Correct |
1314 ms |
31740 KB |
Output is correct |
31 |
Correct |
1367 ms |
31832 KB |
Output is correct |
32 |
Correct |
1361 ms |
31736 KB |
Output is correct |
33 |
Correct |
1126 ms |
29788 KB |
Output is correct |
34 |
Correct |
1393 ms |
31736 KB |
Output is correct |
35 |
Correct |
1983 ms |
31864 KB |
Output is correct |
36 |
Correct |
1612 ms |
31760 KB |
Output is correct |
37 |
Correct |
1872 ms |
31736 KB |
Output is correct |