Submission #207801

# Submission time Handle Problem Language Result Execution time Memory
207801 2020-03-09T05:04:30 Z tri The Kingdom of JOIOI (JOI17_joioi) C++14
60 / 100
4000 ms 154996 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];

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

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

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() {
    memset(taken, 0, sizeof(taken));
    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:79:27: 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 19 ms 16120 KB Output is correct
2 Correct 20 ms 16120 KB Output is correct
3 Correct 20 ms 16120 KB Output is correct
4 Correct 20 ms 16120 KB Output is correct
5 Correct 20 ms 16120 KB Output is correct
6 Correct 19 ms 16120 KB Output is correct
7 Correct 19 ms 16120 KB Output is correct
8 Correct 20 ms 16120 KB Output is correct
9 Correct 20 ms 16252 KB Output is correct
10 Correct 19 ms 16120 KB Output is correct
11 Correct 19 ms 16120 KB Output is correct
12 Correct 20 ms 16120 KB Output is correct
13 Correct 19 ms 16120 KB Output is correct
14 Correct 20 ms 16248 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 16120 KB Output is correct
2 Correct 20 ms 16120 KB Output is correct
3 Correct 20 ms 16120 KB Output is correct
4 Correct 20 ms 16120 KB Output is correct
5 Correct 20 ms 16120 KB Output is correct
6 Correct 19 ms 16120 KB Output is correct
7 Correct 19 ms 16120 KB Output is correct
8 Correct 20 ms 16120 KB Output is correct
9 Correct 20 ms 16252 KB Output is correct
10 Correct 19 ms 16120 KB Output is correct
11 Correct 19 ms 16120 KB Output is correct
12 Correct 20 ms 16120 KB Output is correct
13 Correct 19 ms 16120 KB Output is correct
14 Correct 20 ms 16248 KB Output is correct
15 Correct 23 ms 16376 KB Output is correct
16 Correct 82 ms 19064 KB Output is correct
17 Correct 120 ms 19092 KB Output is correct
18 Correct 123 ms 19104 KB Output is correct
19 Correct 117 ms 19156 KB Output is correct
20 Correct 108 ms 18820 KB Output is correct
21 Correct 126 ms 19080 KB Output is correct
22 Correct 112 ms 19060 KB Output is correct
23 Correct 116 ms 19108 KB Output is correct
24 Correct 104 ms 18764 KB Output is correct
25 Correct 120 ms 19096 KB Output is correct
26 Correct 119 ms 19128 KB Output is correct
27 Correct 121 ms 19192 KB Output is correct
28 Correct 121 ms 19084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 16120 KB Output is correct
2 Correct 20 ms 16120 KB Output is correct
3 Correct 20 ms 16120 KB Output is correct
4 Correct 20 ms 16120 KB Output is correct
5 Correct 20 ms 16120 KB Output is correct
6 Correct 19 ms 16120 KB Output is correct
7 Correct 19 ms 16120 KB Output is correct
8 Correct 20 ms 16120 KB Output is correct
9 Correct 20 ms 16252 KB Output is correct
10 Correct 19 ms 16120 KB Output is correct
11 Correct 19 ms 16120 KB Output is correct
12 Correct 20 ms 16120 KB Output is correct
13 Correct 19 ms 16120 KB Output is correct
14 Correct 20 ms 16248 KB Output is correct
15 Correct 23 ms 16376 KB Output is correct
16 Correct 82 ms 19064 KB Output is correct
17 Correct 120 ms 19092 KB Output is correct
18 Correct 123 ms 19104 KB Output is correct
19 Correct 117 ms 19156 KB Output is correct
20 Correct 108 ms 18820 KB Output is correct
21 Correct 126 ms 19080 KB Output is correct
22 Correct 112 ms 19060 KB Output is correct
23 Correct 116 ms 19108 KB Output is correct
24 Correct 104 ms 18764 KB Output is correct
25 Correct 120 ms 19096 KB Output is correct
26 Correct 119 ms 19128 KB Output is correct
27 Correct 121 ms 19192 KB Output is correct
28 Correct 121 ms 19084 KB Output is correct
29 Execution timed out 4074 ms 154996 KB Time limit exceeded
30 Halted 0 ms 0 KB -