Submission #207809

# Submission time Handle Problem Language Result Execution time Memory
207809 2020-03-09T05:15:41 Z tri The Kingdom of JOIOI (JOI17_joioi) C++14
60 / 100
4000 ms 155856 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

const int MAXN = 2000 + 10;

int H, W;

int grid[MAXN][MAXN];
int taken[MAXN][MAXN];

inline int lin(int i, int j) {
    return i * W + j;
}

inline pi dLin(int x) {
    return {x / W, x % W};
}

inline bool check(int i, int j) {
    if (i - 1 >= 0 && !taken[i - 1][j]) {
        return false;
    }
    if (j - 1 >= 0 && !taken[i][j - 1]) {
        return false;
    }
    return true;
}


// compute min cost assuming TL-BR groups and that TL group is smaller
int compute() {
    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            taken[i][j] = 0;
        }
    }
    vi nums;

    int cur = grid[0][0];

    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            if (grid[i][j] >= cur) {
                nums.pb(grid[i][j]);
            }
        }
    }

    sort(nums.begin(), nums.end());
    nums.erase(unique(nums.begin(), nums.end()), nums.end());

    priority_queue<pi, vector<pi>, greater<pi>> q;

    q.push({cur, lin(0, 0)});

    set<pi> oth;

    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            oth.insert({grid[i][j], lin(i, j)});
        }
    }

    int cMin = cur;
    int cMax = cur;

    int ans = 1e9;

    for (int uBI = 0; uBI < nums.size(); uBI++) {
        int uB = nums[uBI];

        while (q.size()) {
            pi nxt = q.top();
            if (nxt.f > uB) {
                break;
            }
            q.pop();

            int x = nxt.s;
            pi coor = dLin(x);

            int cV = grid[coor.f][coor.s];

            oth.erase({cV, lin(coor.f, coor.s)});

            cMin = min(cMin, cV);
            cMax = max(cMax, cV);

            taken[coor.f][coor.s] = true;

            if (coor.f + 1 < H && check(coor.f + 1, coor.s)) {
                q.push({grid[coor.f + 1][coor.s], lin(coor.f + 1, coor.s)});
            }
            if (coor.s + 1 < W && check(coor.f, coor.s + 1)) {
                q.push({grid[coor.f][coor.s + 1], lin(coor.f, coor.s + 1)});
            }
        }

        if (oth.size()) {
            int cost = cMax - cMin;
            cost = max(cost, (--oth.end())->f - oth.begin()->f);

            ans = min(ans, cost);
        }
    }
    return ans;
}

void flipMag() {
    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            grid[i][j] = 1000000001 - grid[i][j];
        }
    }
}

void flip() {
    for (int j = 0; j < W; j++) {
        for (int i = 0; i < H / 2; i++) {
            int tmp = grid[i][j];
            grid[i][j] = grid[H - 1 - i][j];
            grid[H - 1 - i][j] = tmp;
        }
    }
}


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

    cin >> H >> W;

    for (int i = 0; i < H; i++) {
        for (int j = 0; j < W; j++) {
            cin >> grid[i][j];
        }
    }

    int ans = compute();

    flipMag();
    int ans2 = compute();

    flip();
    int ans3 = compute();

    flipMag();
    int ans4 = compute();

    int fAns = min(min(ans, ans2), min(ans3, ans4));
    cout << fAns << endl;
}

Compilation message

joioi.cpp: In function 'int compute()':
joioi.cpp:83:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int uBI = 0; uBI < nums.size(); uBI++) {
                       ~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 380 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 380 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 8 ms 632 KB Output is correct
16 Correct 69 ms 4100 KB Output is correct
17 Correct 109 ms 4372 KB Output is correct
18 Correct 100 ms 4252 KB Output is correct
19 Correct 103 ms 4248 KB Output is correct
20 Correct 94 ms 3800 KB Output is correct
21 Correct 107 ms 4336 KB Output is correct
22 Correct 100 ms 4212 KB Output is correct
23 Correct 103 ms 4380 KB Output is correct
24 Correct 89 ms 3916 KB Output is correct
25 Correct 105 ms 4376 KB Output is correct
26 Correct 108 ms 4256 KB Output is correct
27 Correct 107 ms 4348 KB Output is correct
28 Correct 109 ms 4252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 380 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 8 ms 632 KB Output is correct
16 Correct 69 ms 4100 KB Output is correct
17 Correct 109 ms 4372 KB Output is correct
18 Correct 100 ms 4252 KB Output is correct
19 Correct 103 ms 4248 KB Output is correct
20 Correct 94 ms 3800 KB Output is correct
21 Correct 107 ms 4336 KB Output is correct
22 Correct 100 ms 4212 KB Output is correct
23 Correct 103 ms 4380 KB Output is correct
24 Correct 89 ms 3916 KB Output is correct
25 Correct 105 ms 4376 KB Output is correct
26 Correct 108 ms 4256 KB Output is correct
27 Correct 107 ms 4348 KB Output is correct
28 Correct 109 ms 4252 KB Output is correct
29 Execution timed out 4082 ms 155856 KB Time limit exceeded
30 Halted 0 ms 0 KB -