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답안 #146128

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
146128 2019-08-22T09:47:38 Z alextodoran The Kingdom of JOIOI (JOI17_joioi) C++14
100 / 100
 1948 ms 148872 KB 
#include <bits/stdc++.h>

using namespace std;

const int INF = 1e9+1;

const int NM_MAX = 2002;

int n, m;

int ma[NM_MAX][NM_MAX];

int minsub1[NM_MAX][NM_MAX];
int minsub2[NM_MAX][NM_MAX];

int maxc1[NM_MAX][NM_MAX];
int minc1[NM_MAX][NM_MAX];
int maxc2[NM_MAX][NM_MAX];
int minc2[NM_MAX][NM_MAX];

int ans = INF;

void f1 (int mi, int mx, int &a, int &b)
{
    int mia, mxa, mib, mxb;
    mia = mib = INF;
    mxa = mxb = -INF;
    int last = n;
    for(int j = 1; j <= m; j++)
    {
        int l = 0, r = last;
        while(l < r)
        {
            int mid = (l + r + 1) / 2;
            if(minc1[mid][j] < mi || maxc1[mid][j] > mx)
                r = mid - 1;
            else
                l = mid;
        }
        last = l;
        mia = min(mia, minc1[l][j]);
        mib = min(mib, minc2[l + 1][j]);
        mxa = max(mxa, maxc1[l][j]);
        mxb = max(mxb, maxc2[l + 1][j]);
    }
    if(mia == INF)
        mia = 0;
    if(mib == INF)
        mib = 0;
    if(mxa == INF)
        mxa = 0;
    if(mxb == INF)
        mxb = 0;
    a = mxa - mia;
    b = mxb - mib;
}

void f2 (int mi, int mx, int &a, int &b)
{
    int mia, mxa, mib, mxb;
    mia = mib = INF;
    mxa = mxb = -INF;
    int last = n;
    for(int j = m; j >= 1; j--)
    {
        int l = 0, r = last;
        while(l < r)
        {
            int mid = (l + r + 1) / 2;
            if(minc1[mid][j] < mi || maxc1[mid][j] > mx)
                r = mid - 1;
            else
                l = mid;
        }
        last = l;
        mia = min(mia, minc1[l][j]);
        mib = min(mib, minc2[l + 1][j]);
        mxa = max(mxa, maxc1[l][j]);
        mxb = max(mxb, maxc2[l + 1][j]);
    }
    if(mia == INF)
        mia = 0;
    if(mib == INF)
        mib = 0;
    if(mxa == INF)
        mxa = 0;
    if(mxb == INF)
        mxb = 0;
    a = mxa - mia;
    b = mxb - mib;
}

void solve (int val)
{
    int l = 0, r = ans - 1;
    int a, b;
    while(l < r)
    {
        int mid = (l + r + 1) / 2;
        f1(val, val + mid, a, b);
        if(a > b)
            r = mid - 1;
        else
            l = mid;
    }
    f1(val, val + l, a, b);
    ans = min(ans, max(a, b));
    f1(val, val + l + 1, a, b);
    ans = min(ans, max(a, b));
    l = 0; r = ans - 1;
    while(l < r)
    {
        int mid = (l + r + 1) / 2;
        f2(val, val + mid, a, b);
        if(a > b)
            r = mid - 1;
        else
            l = mid;
    }
    f2(val, val + l, a, b);
    ans = min(ans, max(a, b));
    f2(val, val + l + 1, a, b);
    ans = min(ans, max(a, b));
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    cin >> n >> m;
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= m; j++)
            cin >> ma[i][j];
    for(int i = 0; i <= n + 1; i++)
        for(int j = 0; j <= m + 1; j++)
            minsub1[i][j] = minsub2[i][j] = INF;
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= m; j++)
            minsub1[i][j] = min(ma[i][j], min(minsub1[i][j - 1], minsub1[i - 1][j]));
    for(int i = 1; i <= n; i++)
        for(int j = m; j >= 1; j--)
            minsub2[i][j] = min(ma[i][j], min(minsub2[i][j + 1], minsub2[i - 1][j]));
    for(int j = 1; j <= m; j++)
    {
        maxc1[0][j] = -INF;
        for(int i = 1; i <= n; i++)
            maxc1[i][j] = max(ma[i][j], maxc1[i - 1][j]);
        maxc2[n + 1][j] = -INF;
        for(int i = n; i >= 1; i--)
            maxc2[i][j] = max(ma[i][j], maxc2[i + 1][j]);
    }
    for(int j = 1; j <= m; j++)
    {
        minc1[0][j] = INF;
        for(int i = 1; i <= n; i++)
            minc1[i][j] = min(ma[i][j], minc1[i - 1][j]);
        minc2[n + 1][j] = INF;
        for(int i = n; i >= 1; i--)
            minc2[i][j] = min(ma[i][j], minc2[i + 1][j]);
    }
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= m; j++)
            if(ma[i][j] < minc1[i - 1][j] && ((ma[i][j] < minsub1[i - 1][j] && ma[i][j] < minsub1[i][j - 1]) ||
                                              (ma[i][j] < minsub2[i - 1][j] && ma[i][j] < minsub2[i][j + 1])))
                solve(ma[i][j]);
    cout << ans << "\n";
    return 0;
}

Subtask #1
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 636 KB Output is correct
2 Correct 2 ms 632 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 2 ms 632 KB Output is correct
5 Correct 2 ms 632 KB Output is correct
6 Correct 2 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 2 ms 632 KB Output is correct
10 Correct 2 ms 632 KB Output is correct
11 Correct 2 ms 632 KB Output is correct
12 Correct 2 ms 636 KB Output is correct
13 Correct 2 ms 632 KB Output is correct
14 Correct 2 ms 636 KB Output is correct

Subtask #2
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 636 KB Output is correct
2 Correct 2 ms 632 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 2 ms 632 KB Output is correct
5 Correct 2 ms 632 KB Output is correct
6 Correct 2 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 2 ms 632 KB Output is correct
10 Correct 2 ms 632 KB Output is correct
11 Correct 2 ms 632 KB Output is correct
12 Correct 2 ms 636 KB Output is correct
13 Correct 2 ms 632 KB Output is correct
14 Correct 2 ms 636 KB Output is correct
15 Correct 3 ms 888 KB Output is correct
16 Correct 10 ms 7032 KB Output is correct
17 Correct 16 ms 7160 KB Output is correct
18 Correct 16 ms 7036 KB Output is correct
19 Correct 24 ms 7160 KB Output is correct
20 Correct 19 ms 6392 KB Output is correct
21 Correct 22 ms 7160 KB Output is correct
22 Correct 30 ms 7032 KB Output is correct
23 Correct 19 ms 7160 KB Output is correct
24 Correct 18 ms 6392 KB Output is correct
25 Correct 18 ms 7160 KB Output is correct
26 Correct 22 ms 7160 KB Output is correct
27 Correct 18 ms 7160 KB Output is correct
28 Correct 19 ms 7160 KB Output is correct

Subtask #3
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 636 KB Output is correct
2 Correct 2 ms 632 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 2 ms 632 KB Output is correct
5 Correct 2 ms 632 KB Output is correct
6 Correct 2 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 2 ms 632 KB Output is correct
10 Correct 2 ms 632 KB Output is correct
11 Correct 2 ms 632 KB Output is correct
12 Correct 2 ms 636 KB Output is correct
13 Correct 2 ms 632 KB Output is correct
14 Correct 2 ms 636 KB Output is correct
15 Correct 3 ms 888 KB Output is correct
16 Correct 10 ms 7032 KB Output is correct
17 Correct 16 ms 7160 KB Output is correct
18 Correct 16 ms 7036 KB Output is correct
19 Correct 24 ms 7160 KB Output is correct
20 Correct 19 ms 6392 KB Output is correct
21 Correct 22 ms 7160 KB Output is correct
22 Correct 30 ms 7032 KB Output is correct
23 Correct 19 ms 7160 KB Output is correct
24 Correct 18 ms 6392 KB Output is correct
25 Correct 18 ms 7160 KB Output is correct
26 Correct 22 ms 7160 KB Output is correct
27 Correct 18 ms 7160 KB Output is correct
28 Correct 19 ms 7160 KB Output is correct
29 Correct 872 ms 104724 KB Output is correct
30 Correct 1268 ms 110220 KB Output is correct
31 Correct 1524 ms 110272 KB Output is correct
32 Correct 1048 ms 110200 KB Output is correct
33 Correct 792 ms 97016 KB Output is correct
34 Correct 1410 ms 110172 KB Output is correct
35 Correct 1376 ms 110404 KB Output is correct
36 Correct 1046 ms 143200 KB Output is correct
37 Correct 1948 ms 148872 KB Output is correct