Submission #332874

# Submission time Handle Problem Language Result Execution time Memory
332874 2020-12-03T22:45:56 Z limabeans The Kingdom of JOIOI (JOI17_joioi) C++17
60 / 100
4000 ms 102420 KB
#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;

const ll inf = 1e18;
const int maxn = 2020;


int n,m;
ll g[maxn][maxn];
ll tmp[maxn][maxn];



bool test(ll diff) {
    ll mn = inf;
    ll mx = -inf;
    for (int i=0; i<n; i++) {
	for (int j=0; j<m; j++) {
	    mn = min(mn, g[i][j]);
	    mx = max(mx, g[i][j]);
	}
    }
    {
	int sep = 0;
	bool ok = true;
	for (int i=0; i<n; i++) {
	    for (int j=0; j<m; j++) {
		if (g[i][j]<mx-diff) {
		    sep = max(sep,j+1);
		}
	    }
	    for (int j=0; j<m; j++) {
		if (g[i][j]>mn+diff) {
		    if (j<sep) ok = false;
		}
	    }
	}
	if (ok) return true;
    }

    {
	int sep = 0;
	bool ok = true;
	for (int i=0; i<n; i++) {
	    for (int j=0; j<m; j++) {
		if (g[i][j]>mn+diff) {
		    sep = max(sep,j+1);
		}
	    }
	    for (int j=0; j<m; j++) {
		if (g[i][j]<mx-diff) {
		    if (j<sep) ok = false;
		}
	    }
	}
	if (ok) return true;
    }

    return false;
}

ll solve() {
    ll mn = inf;
    ll mx = -inf;
    vector<ll> a;
    for (int i=0; i<n; i++) {
	for (int j=0; j<m; j++) {
	    mn = min(mn, g[i][j]);
	    mx = max(mx, g[i][j]);
	}
    }

    ll diff = mx-mn;
    ll hi = diff;
    ll lo = -1;
    while (hi-lo>1) {
	ll mid = (lo+hi)/2;
	if (test(mid)) {
	    hi = mid;
	} else {
	    lo = mid;
	}
    }
    

    return hi;
}


void flipY() {
    for (int i=0; i<n; i++) {
	for (int j=0; j<m/2; j++) {
	    swap(g[i][j],g[i][m-j-1]);
	}
    }
}

void transpose() {
    for (int i=0; i<n; i++) {
	for (int j=0; j<m; j++) {
	    tmp[j][i]=g[i][j];
	}
    }
    swap(n,m);
    for (int i=0; i<n; i++) {
	for (int j=0; j<m; j++) {
	    g[i][j]=tmp[i][j];
	}
    }
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);


    cin>>n>>m;
    for (int i=0; i<n; i++) {
	for (int j=0; j<m; j++) {
	    cin>>g[i][j];
	}
    }

    ll res = inf;
    res = min(res, solve());
    flipY();
    res = min(res, solve());
    flipY(); transpose();
    res = min(res, solve());
    flipY();
    res = min(res, solve());

    cout<<res<<endl;
    
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 492 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 492 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 2 ms 2028 KB Output is correct
16 Correct 15 ms 2540 KB Output is correct
17 Correct 33 ms 2796 KB Output is correct
18 Correct 29 ms 2820 KB Output is correct
19 Correct 34 ms 2816 KB Output is correct
20 Correct 33 ms 2796 KB Output is correct
21 Correct 44 ms 2924 KB Output is correct
22 Correct 38 ms 2924 KB Output is correct
23 Correct 47 ms 2924 KB Output is correct
24 Correct 34 ms 2944 KB Output is correct
25 Correct 57 ms 2924 KB Output is correct
26 Correct 42 ms 2956 KB Output is correct
27 Correct 43 ms 2924 KB Output is correct
28 Correct 42 ms 2924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 492 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 2 ms 2028 KB Output is correct
16 Correct 15 ms 2540 KB Output is correct
17 Correct 33 ms 2796 KB Output is correct
18 Correct 29 ms 2820 KB Output is correct
19 Correct 34 ms 2816 KB Output is correct
20 Correct 33 ms 2796 KB Output is correct
21 Correct 44 ms 2924 KB Output is correct
22 Correct 38 ms 2924 KB Output is correct
23 Correct 47 ms 2924 KB Output is correct
24 Correct 34 ms 2944 KB Output is correct
25 Correct 57 ms 2924 KB Output is correct
26 Correct 42 ms 2956 KB Output is correct
27 Correct 43 ms 2924 KB Output is correct
28 Correct 42 ms 2924 KB Output is correct
29 Correct 2809 ms 85740 KB Output is correct
30 Correct 2692 ms 83012 KB Output is correct
31 Correct 3441 ms 86892 KB Output is correct
32 Correct 2615 ms 86764 KB Output is correct
33 Correct 2193 ms 83564 KB Output is correct
34 Correct 3052 ms 86896 KB Output is correct
35 Execution timed out 4101 ms 102420 KB Time limit exceeded
36 Halted 0 ms 0 KB -